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1,269 | [
{
"id": 907730339877769200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 15:36:17",
"content": "Available help channel!",
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},
{
"id": 907730608422285300,
"author_id": 389752157378838500,
"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:37:21",
"content": "Simple question",
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},
{
"id": 907730610263584900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 15:37:22",
"content": "Pinned a message.",
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{
"id": 907730708523540500,
"author_id": 389752157378838500,
"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:37:45",
"content": "In direct variation how many points have to pass through the origin to be called a direct variation",
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},
{
"id": 907730766342013000,
"author_id": 389752157378838500,
"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:37:59",
"content": "only one points",
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{
"id": 907730775057776800,
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"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:38:01",
"content": "point*",
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},
{
"id": 907730793810510000,
"author_id": 389752157378838500,
"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:38:06",
"content": "passes through the origin",
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},
{
"id": 907731067904077800,
"author_id": 389752157378838500,
"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:39:11",
"content": "where people at",
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},
{
"id": 907731124774633500,
"author_id": 389752157378838500,
"author_name": "ahmedeltantawi",
"timestamp": "11/09/2021 15:39:24",
"content": "@Helpers",
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},
{
"id": 907734903016288300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 15:54:25",
"content": "@ahmedeltantawi Has your question been resolved?",
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"id": 907738676329607200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 16:09:25",
"content": "Channel closed",
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}
] | help-10 | ef105e29669d4367b43295153308f6f7 |
127 | [
{
"id": 932844763323969700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:52:02",
"content": "I feel like I’m making some stupid mistake",
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{
"id": 932844773432234000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:52:05",
"content": "Oof @EpsilonNought",
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{
"id": 932844829958873100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:52:18",
"content": "What am I supposed to do",
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},
{
"id": 932844838943088600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:52:21",
"content": ".reopen",
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},
{
"id": 932844843711996000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/17/2022 22:52:22",
"content": "✅",
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},
{
"id": 932844924485910700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:52:41",
"content": "Idk how to solve this",
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},
{
"id": 932845040311623700,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:53:09",
"content": "I saw that sin(theta) components cancel out",
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{
"id": 932845105193291800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:53:24",
"content": "When theta is taken with z axis from all t1,t2,..t4",
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"id": 932845176706170900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:53:41",
"content": "And the cos components add up",
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{
"id": 932845212752040000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:53:50",
"content": "To t0",
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},
{
"id": 932845270432088200,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:03",
"content": "@Jukelyn wait",
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{
"id": 932845300903718900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:11",
"content": "What does it say in the question to take g",
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{
"id": 932845329865388000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:18",
"content": "9.8 or 10",
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{
"id": 932845351747059800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:54:23",
"content": "Probably 9.81",
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"id": 932845354045550600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:23",
"content": "Cause I took 10",
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"id": 932845374920622100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:54:28",
"content": "Or 9.8",
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{
"id": 932845381778288600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:30",
"content": "Lmao",
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{
"id": 932845405794893800,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:36",
"content": "So that’s where it is",
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},
{
"id": 932845434819452900,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:43",
"content": "*hopefully*",
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},
{
"id": 932845449856041000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:46",
"content": "I gtg for breakfast",
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{
"id": 932845460949983400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:54:49",
"content": "Physics people don't round g",
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{
"id": 932845481514631200,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:54:54",
"content": "Can u help out from here",
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{
"id": 932845496291197000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:54:57",
"content": "This",
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"id": 932845513420710000,
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"author_name": "dldh06",
"timestamp": "01/17/2022 22:55:01",
"content": "I tried lol",
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"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:55:02",
"content": "Been 2 years since I did physics",
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"id": 932845553132388500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:55:11",
"content": "Lol",
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{
"id": 932845573395083300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:55:16",
"content": "Forgot these little details",
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},
{
"id": 932845608035823600,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:55:24",
"content": "Do 150 into 9.8",
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"id": 932845670791016400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:55:39",
"content": "Divide by 4",
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{
"id": 932845771311702000,
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"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:56:03",
"content": "And multiply by sqrt(3)",
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{
"id": 932845867717783600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:56:26",
"content": ",w (150*9.8*sqrt(3))/4",
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{
"id": 932845878316781600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/17/2022 22:56:28",
"content": "Results provided by WolframAlpha",
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{
"id": 932845882972438500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:56:29",
"content": "This",
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},
{
"id": 932845885765853200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:56:30",
"content": "That?",
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{
"id": 932845891734372400,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:56:32",
"content": "",
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"id": 932845904619266000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:56:35",
"content": "Yeh",
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{
"id": 932845950857257000,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:56:46",
"content": "Yes",
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},
{
"id": 932846030221881300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:57:05",
"content": "Is that right @Jukelyn",
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"id": 932846089239924700,
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"author_name": "dldh06",
"timestamp": "01/17/2022 22:57:19",
"content": "@EpsilonNought",
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"id": 932846100338069500,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:57:21",
"content": "I’m not sure, I only have one more submission",
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"id": 932846169778962400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 22:57:38",
"content": "If there is tolerance, that is close enough",
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"id": 932846217233301600,
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"author_name": "dldh06",
"timestamp": "01/17/2022 22:57:49",
"content": "So shouldn't make a difference, I think",
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"id": 932846363832619000,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 22:58:24",
"content": "I’ll try it",
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"id": 932846424582918100,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:58:39",
"content": "🤞",
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},
{
"id": 932846438260543500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 22:58:42",
"content": "Pls pls",
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"id": 932846787042111600,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:00:05",
"content": "Wait no",
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"id": 932846801365635100,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:00:08",
"content": "I’m not trying that",
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{
"id": 932846825969422300,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 23:00:14",
"content": "Why",
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"id": 932846831719825500,
"author_id": 347216701055565800,
"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:00:16",
"content": "It’s the same answer I had earlier and it was wrong",
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"id": 932846941015011500,
"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 23:00:42",
"content": "When",
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},
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"id": 932846989459198000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/17/2022 23:00:53",
"content": "Previous answer was 636",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:01:22",
"content": "",
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"author_name": "dldh06",
"timestamp": "01/17/2022 23:01:47",
"content": "And 637 is close enough to 636, site tolerance, would have marked it right",
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"id": 932847230174498800,
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:01:51",
"content": "what the hell",
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"author_name": "EpsilonNought",
"timestamp": "01/17/2022 23:01:51",
"content": "Bruh",
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"author_name": "dldh06",
"timestamp": "01/17/2022 23:02:06",
"content": "I did 9.81",
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:02:08",
"content": "oh",
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"timestamp": "01/17/2022 23:02:09",
"content": "true",
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{
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"author_id": 869532694688706600,
"author_name": "EpsilonNought",
"timestamp": "01/17/2022 23:02:20",
"content": "I give up",
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},
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"id": 932847359128399900,
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"author_name": "Jukelyn",
"timestamp": "01/17/2022 23:02:21",
"content": "tolerance is like < 2% so..",
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"content": ",w (150*9.8sqrt(3))/4",
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"content": "same",
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"content": "oh my fucki-",
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"timestamp": "01/17/2022 23:11:53",
"content": "I HATE THIS SHIT",
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"content": "I FUCKING HAD THE RIGHT ANSWER",
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"content": "MOTHERFU-",
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"timestamp": "01/17/2022 23:12:08",
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"content": "I hate this stupid ass program",
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"content": "so CRINGE",
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"content": "So that answer we had hours ago was correct? That's unfortunate",
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"content": "And it does say exact magnitude, that's a big oof",
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"content": "And it does say exact magnitude, that's a big oof",
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"content": "yep",
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"content": "Because $\\frac{\\sqrt{75}}{5} = \\sqrt{3}$",
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"content": "**dldh06**",
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"content": "yeah",
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"content": "At least now you know how to do it with unit vectors, because that was the unit vector",
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"content": "https://tenor.com/view/family-guy-peter-griffin-shoot-him-gif-14044244",
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"content": "Aren't we all?",
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"timestamp": "01/17/2022 23:21:59",
"content": "*but I just wanna talk to him*",
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"content": "Channel closed",
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] | help-10 | 543c63bd80914035b7a8f3c314d11154 |
1,270 | [
{
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"timestamp": "03/15/2022 21:23:15",
"content": "Cal 1",
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"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "03/15/2022 21:23:29",
"content": "pls find someone else sorry",
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"content": "no probs thanks for replying atleast @hellblaze_skyfire",
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"content": "@Jerry2424 Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 0804a1a77f114f73a7df8bfac8378ecc |
1,271 | [
{
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"content": "Available help channel!",
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},
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"content": "@arbywarby Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | c756ccbc76a440cd924d6e0af9add279 |
1,272 | [
{
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"content": "An integer is divisible by 11 if, and only if, the alternating sum of its digits is divisible by 11.\n\nDoes this prove both sides? or just the If n is divisible by 11 part?",
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"content": "Pinned a message.",
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"timestamp": "03/16/2022 03:01:57",
"content": "@Tedious Has your question been resolved?",
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}
] | help-10 | 71da26e6d5e74f87b9e0e331c5b8544c |
1,273 | [
{
"id": 953552058001268700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/16/2022 03:15:26",
"content": "Available help channel!",
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},
{
"id": 953557158526615600,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:35:42",
"content": "any idea how to solve this",
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},
{
"id": 953557160829263900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/16/2022 03:35:43",
"content": "Pinned a message.",
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"id": 953557262864117800,
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"timestamp": "03/16/2022 03:36:07",
"content": "q 3",
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{
"id": 953557274985652200,
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"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:36:10",
"content": ",rotate",
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},
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"id": 953557289116262400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/16/2022 03:36:13",
"content": "",
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{
"id": 953557481940996100,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:36:59",
"content": "QPS + QRS = 180",
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},
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"id": 953557716482289700,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:37:55",
"content": "okay",
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},
{
"id": 953557727823687700,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:37:58",
"content": "so",
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{
"id": 953557756005199900,
"author_id": 931089583624581100,
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"timestamp": "03/16/2022 03:38:05",
"content": "b + d + c = 90",
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},
{
"id": 953557795897233400,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:38:14",
"content": "a = 60?",
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},
{
"id": 953557820865937400,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:38:20",
"content": "i need to know how to work it out",
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},
{
"id": 953557949433909200,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:38:51",
"content": "b + d + c = 180\na + d = 180",
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},
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"id": 953557976801738800,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:38:57",
"content": "d = 180 - a",
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{
"id": 953558045596729300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:39:14",
"content": "okay",
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},
{
"id": 953558053997903900,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:39:16",
"content": "so: b + d + c = 180\nb + (180 - a) + c = 90",
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"id": 953558068959002600,
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"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:39:19",
"content": "a + d = 180 because of angles on a line right",
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"timestamp": "03/16/2022 03:39:21",
"content": "= 180",
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"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:39:47",
"content": "not really",
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"id": 953558272206581900,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:40:08",
"content": "do you rmb the angle inside a four sided is always 360?",
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"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:40:29",
"content": "since there is already 2 angles with 90, so a+d would be 360-90-90",
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"id": 953558376921583700,
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"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:40:33",
"content": "yeah",
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"id": 953558396341219300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:40:37",
"content": "angles of a quad = 360",
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{
"id": 953558404989878300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:40:40",
"content": "wait",
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},
{
"id": 953558435222417400,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:40:47",
"content": "oh",
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"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:40:50",
"content": "so a + d = 180",
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},
{
"id": 953558590394892400,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:41:24",
"content": "im so confused",
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},
{
"id": 953558600503160800,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:41:26",
"content": "i hate geometry xd",
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},
{
"id": 953558638289633300,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:41:35",
"content": "back to here",
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},
{
"id": 953558663363170300,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:41:41",
"content": "since b + (180 - a) + c = 180",
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{
"id": 953558774025691100,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:42:07",
"content": "is 180 - a = 30",
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},
{
"id": 953558794934296600,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:42:12",
"content": "since 3 x 30 = 90",
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"id": 953558918766923900,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:42:42",
"content": "so: b+c = a",
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"id": 953558969710956500,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:42:54",
"content": "the 180 can be cancelled out each other",
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},
{
"id": 953559024698269700,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:43:07",
"content": "so what would i write",
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},
{
"id": 953559105195356200,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:43:26",
"content": "to prove b + c = a",
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},
{
"id": 953559135939596300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:43:34",
"content": "ill probably get it if i write it out",
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},
{
"id": 953559235441094700,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:43:58",
"content": "b + d + c = 180\na + d = 180 \nd = 180 - a\n\nb + (180 - a) + c = 180\nb + c = 180-180+a\nb+c = a",
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},
{
"id": 953559280877989900,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:44:08",
"content": "done",
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},
{
"id": 953559591545884700,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:45:22",
"content": "i still dont get it wtf",
"attachments": [],
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},
{
"id": 953559623548436500,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:45:30",
"content": "get the first line",
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},
{
"id": 953559647414018000,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:45:36",
"content": "why does a + d = 180",
"attachments": [],
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},
{
"id": 953559696189554700,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:45:47",
"content": "angles on a line or?",
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},
{
"id": 953559740196196400,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:45:58",
"content": "it cant be coint <'s because we arent using paralell lines",
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},
{
"id": 953559872283226100,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:46:29",
"content": "rmb that all the 4 angles in a 4 sided polygon is always 360\nsince there is already got 2 angles which are 90, so a+d+90+90 = 360",
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},
{
"id": 953559909709000700,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:46:38",
"content": "oh",
"attachments": [],
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},
{
"id": 953559921490812900,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:46:41",
"content": "so",
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"reference": null
},
{
"id": 953559941422137300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:46:46",
"content": "why does b + c = a",
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},
{
"id": 953560047143780400,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:47:11",
"content": "you have to substitute and simplify to get b +c = a",
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},
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"id": 953560621985714300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:49:28",
"content": "hmph",
"attachments": [],
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},
{
"id": 953560638066655200,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:49:32",
"content": "i dont know why i dont get it",
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},
{
"id": 953561032708747300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:51:06",
"content": "so",
"attachments": [],
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"reference": null
},
{
"id": 953561137755091000,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:51:31",
"content": "which 2 angles are 9",
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},
{
"id": 953561142322667500,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:51:32",
"content": "90",
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},
{
"id": 953561231338377200,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:51:53",
"content": "PQR and PSR are both 90",
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},
{
"id": 953561306454188000,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:52:11",
"content": "why",
"attachments": [],
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},
{
"id": 953561335227109500,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:52:18",
"content": "rmb that: PQR + QRS + RSP + SPQ = 360",
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},
{
"id": 953561389895655400,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:52:31",
"content": "this was stated in the question and diagram",
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},
{
"id": 953561410703589400,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:52:36",
"content": "oh",
"attachments": [],
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},
{
"id": 953561454978691200,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:52:47",
"content": "OH",
"attachments": [],
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"reference": null
},
{
"id": 953561458967470100,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:52:48",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953561480769454100,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:52:53",
"content": "left side",
"attachments": [],
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},
{
"id": 953561496770728100,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:52:57",
"content": "and bottomleft side",
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},
{
"id": 953561515598966800,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:01",
"content": "and right side, bottom right side are 90",
"attachments": [],
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"reference": null
},
{
"id": 953561581378228200,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:17",
"content": "you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953561589620023300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:19",
"content": "are in",
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},
{
"id": 953561606472728600,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:23",
"content": "a taken channel",
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},
{
"id": 953561617621209100,
"author_id": 728089440244727800,
"author_name": "porofessor",
"timestamp": "03/16/2022 03:53:25",
"content": "oh sorry",
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},
{
"id": 953561618690744300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:26",
"content": "#help-1｜qusiee",
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"reference": null
},
{
"id": 953561631974113300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:29",
"content": "go there",
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},
{
"id": 953561635296014300,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:53:30",
"content": "and try",
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},
{
"id": 953561821942517800,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:54:14",
"content": "okay so",
"attachments": [],
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},
{
"id": 953561839957082100,
"author_id": 931089583624581100,
"author_name": "happyfacedman",
"timestamp": "03/16/2022 03:54:18",
"content": "anonymous",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 953561876384587800,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/16/2022 03:54:27",
"content": "yes",
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"mentions": [],
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"timestamp": "03/16/2022 03:54:36",
"content": "uhhh",
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"content": "idk where would i learn this",
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"content": "just written and explained simply in text form",
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"content": "i just cant understand it and ive got an even harder next question",
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"content": "@happyfacedman Has your question been resolved?",
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] | help-10 | a1c90474954a47bda2a58cba83cfe605 |
1,274 | [
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"content": "Just wanted to clarify minor details for finding the determinant of a matrix",
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"content": "To find the determinant of a matrix, we just use laplace expansion on the top row of the matrix right?",
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"content": "And then that's all?",
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"timestamp": "03/16/2022 04:28:18",
"content": "or any row or column, really",
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"content": "Wait wat rlly",
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"content": "So I can apply it to any single row or column",
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"timestamp": "03/16/2022 04:29:01",
"content": "And it would find the determinant of the matrix",
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"content": "yes, so it's always a good idea to pick a row or column with a lot of zeroes",
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"content": "Oh",
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"content": "I see, thank you so much :))",
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"content": "no prob 🙂",
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] | help-10 | 214bee3bae0c410ebb255ccc249e9a96 |
1,275 | [
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"content": "Are these triangles similar? I rotated it two different ways",
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"content": "One was similar, one was not",
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"content": "If we make it correspond to FE, then SAS says the triangles are similar",
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"content": "But is it possible UG corresponds to BE, resulting in not similar?",
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"content": "I believe it is similar",
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"content": "angle UGA = angle BEF",
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"content": "UG/EF = GA/BE",
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"content": "The ratios of two lines and a corresponding angle is similar",
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"author_name": "Elstuhn",
"timestamp": "03/16/2022 04:57:30",
"content": "And I think that's one of the proofs for similar triangles? I really don't trust myself",
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"timestamp": "03/16/2022 04:57:43",
"content": "Yes that would be correct if we did it that way",
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"timestamp": "03/16/2022 04:57:59",
"content": "Just wondering how we know for sure UG corresponds to EF",
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"timestamp": "03/16/2022 04:58:25",
"content": "Because if we did UG/BE = other ratio, it will not work",
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"author_name": "Elstuhn",
"timestamp": "03/16/2022 04:58:49",
"content": "Yeah since UG/BE doesn't work and UG/EF works, then UG corresponds to EF",
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"timestamp": "03/16/2022 05:00:05",
"content": "Cus if u said triangle ABE is similar to triangle PLO for example, AB/PL = BE/LO",
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"timestamp": "03/16/2022 05:00:24",
"content": "And AB/LO wouldn't be equals to PL/BE",
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"timestamp": "03/16/2022 05:03:00",
"content": "Okay thanks",
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"timestamp": "03/16/2022 05:03:02",
"content": ".close",
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] | help-10 | 7682bec83d464c64a1cc27c3ef6ce69a |
1,276 | [
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"content": "need help solving 1 and 3 please, asap",
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"content": "i looked up the first one but didnt understand anything too",
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"content": ",rotate",
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:22:51",
"content": "Oh lol very similar question to mine",
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"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/16/2022 06:23:26",
"content": "If it’s above x axis, discriminant is <0",
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:24:05",
"content": "So arrange the equation to b^2-4ac <0",
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"id": 953599902410215400,
"author_id": 668107418835746800,
"author_name": "cope",
"timestamp": "03/16/2022 06:25:33",
"content": "a and c are both gonna be 1 yes?",
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"id": 953600572873900000,
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:28:13",
"content": "No",
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"id": 953600581182828500,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/16/2022 06:28:15",
"content": "C is k",
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"id": 953600844098576400,
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"author_name": "cope",
"timestamp": "03/16/2022 06:29:18",
"content": "ah i see",
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"timestamp": "03/16/2022 06:29:40",
"content": "i get k<9",
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:31:23",
"content": "Hmm",
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"id": 953601400359759900,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/16/2022 06:31:30",
"content": "It should be k>9",
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"id": 953601446241263600,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/16/2022 06:31:41",
"content": "Do you have the mark scheme with you by any chance",
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"id": 953601547487563800,
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"timestamp": "03/16/2022 06:32:05",
"content": "yes",
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"id": 953601620984356900,
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:32:23",
"content": "What’s the answer?",
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"id": 953601663552352400,
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"author_name": "cope",
"timestamp": "03/16/2022 06:32:33",
"content": "its k>9",
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:32:43",
"content": "Ok one sec",
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:33:09",
"content": "",
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"id": 953601933468401800,
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:33:38",
"content": "Ok so when u multiply negative on both side of inequality",
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"id": 953601985997840400,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/16/2022 06:33:50",
"content": "The inequality change sides",
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"id": 953602006470230000,
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"author_name": "cope",
"timestamp": "03/16/2022 06:33:55",
"content": "ohhh",
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{
"id": 953602019598409700,
"author_id": 668107418835746800,
"author_name": "cope",
"timestamp": "03/16/2022 06:33:58",
"content": "i get it now",
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"id": 953602996737032200,
"author_id": 668107418835746800,
"author_name": "cope",
"timestamp": "03/16/2022 06:37:51",
"content": "how do i do the second part",
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"id": 953603466973032400,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "03/16/2022 06:39:43",
"content": "Is the answer k=11 ?",
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"timestamp": "03/16/2022 06:39:57",
"content": "yes",
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"author_name": "soufflé",
"timestamp": "03/16/2022 06:40:35",
"content": "Ok since the line intersects with curve",
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"timestamp": "03/16/2022 06:40:41",
"content": "At one point bc tangent",
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"content": "U can equate the two equation",
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"content": "The line and curve equation, combine it into one",
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"content": "mhm",
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"timestamp": "03/16/2022 06:41:48",
"content": "after than u should get a quad equation",
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"timestamp": "03/16/2022 06:41:56",
"content": "Then u can use discriminant on it",
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"timestamp": "03/16/2022 06:42:09",
"content": "Since it’s a tangent and touches at one point only",
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"content": "B^2-4ac=0",
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"content": "U should get k=11 after that",
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"timestamp": "03/16/2022 06:43:27",
"content": "yea got it",
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"content": "tysm",
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"content": "Np",
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"author_name": "cope",
"timestamp": "03/16/2022 06:45:08",
"content": "in the 1st part of the 3rd question i do the same?",
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"timestamp": "03/16/2022 06:45:17",
"content": "equal the both equations and solve them?",
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"content": "no. 3",
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"content": "@cope Has your question been resolved?",
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"content": "@Helpers",
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"content": "@cope Has your question been resolved?",
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"content": "@cope Has your question been resolved?",
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] | help-10 | 36d06b9b3796478397a1f71fe75e00a7 |
1,277 | [
{
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"content": "so i got -30 in this question but it was incorect 5(a –b) if a = −4 and b = −2",
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"content": "be careful with negatives",
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"content": "?",
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"timestamp": "03/16/2022 10:07:57",
"content": "you're subtracting negative two",
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"timestamp": "03/16/2022 10:08:11",
"content": "so -6",
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"id": 953655994410471400,
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"author_name": "bee",
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"content": "no",
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"timestamp": "03/16/2022 10:08:31",
"content": "this is why you have to be careful",
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"author_name": "bee",
"timestamp": "03/16/2022 10:08:44",
"content": "think about it: if you take 2 and add negative 2, what do you get",
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"timestamp": "03/16/2022 10:09:35",
"content": "?",
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"author_name": "bee",
"timestamp": "03/16/2022 10:09:43",
"content": "what's 2 + -2",
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"id": 953656368764690400,
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"author_name": "Qwerty",
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"content": "0",
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"timestamp": "03/16/2022 10:10:04",
"content": "yep, it's 0",
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"timestamp": "03/16/2022 10:10:21",
"content": "2 + -2 is the same as 2 - 2",
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"content": "$a-b = a+(-b)$",
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"author_name": "TeXit",
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"timestamp": "03/16/2022 10:10:49",
"content": "ok",
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"author_name": "Qwerty",
"timestamp": "03/16/2022 10:11:20",
"content": "so 4+(-2)??",
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"id": 953656734440898600,
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"author_name": "bee",
"timestamp": "03/16/2022 10:11:23",
"content": "so if 2 + -2 is 2 - 2 which is 0\nwhat should 0 - -2, subtracting negative two from zero, be?",
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"id": 953656819019022300,
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"timestamp": "03/16/2022 10:11:43",
"content": "2",
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"author_name": "bee",
"timestamp": "03/16/2022 10:11:51",
"content": "yep",
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"id": 953656977630838800,
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"author_name": "bee",
"timestamp": "03/16/2022 10:12:21",
"content": "subtracting -2 is the opposite of adding -2, and adding -2 is subtracting 2, so subtracting -2 is the same thing as adding 2",
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"timestamp": "03/16/2022 10:12:52",
"content": "-(-a) = -1 * -1 * a = 1 * a = a",
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"id": 953657148733288400,
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"author_name": "bee",
"timestamp": "03/16/2022 10:13:02",
"content": "so now if we go back to -4 - -2",
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"timestamp": "03/16/2022 10:13:33",
"content": "subtracting -2 is the same as adding 2, so this is -4 + 2",
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"timestamp": "03/16/2022 10:13:39",
"content": "-2",
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"timestamp": "03/16/2022 10:13:59",
"content": "yep",
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"content": "soo -10",
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"timestamp": "03/16/2022 10:14:04",
"content": "-4 + 2 = 2 + -4 = 2 - 4 = -2",
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"timestamp": "03/16/2022 10:14:08",
"content": "and then yeah multiply that by five",
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"timestamp": "03/16/2022 10:14:17",
"content": "ok thx for the help",
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"content": ".close",
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] | help-10 | d2697dae2e4a48b6bab88f2e22f71596 |
1,278 | [
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"content": "was it a mistake adding all 4 equations?",
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"timestamp": "03/16/2022 10:26:11",
"content": "find the value of P(5)",
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"timestamp": "03/16/2022 10:30:09",
"content": "consider a polynomial Q",
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"timestamp": "03/16/2022 10:30:15",
"content": "which has something to do with P",
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"timestamp": "03/16/2022 10:30:17",
"content": "is my hint...",
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"timestamp": "03/16/2022 10:30:32",
"content": "Q = P + ???",
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"content": "uhh",
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"content": "no idea",
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"timestamp": "03/16/2022 10:33:08",
"content": "Let Q(x) = P(x) + R(x)",
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"timestamp": "03/16/2022 10:33:14",
"content": "where R(x) is a polynomial to find",
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"timestamp": "03/16/2022 10:33:20",
"content": "there is a sensible choice",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:33:23",
"content": "so P(5)",
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"timestamp": "03/16/2022 10:33:33",
"content": "R(x)=P(5)",
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"timestamp": "03/16/2022 10:33:42",
"content": "how is that a polynomial",
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"timestamp": "03/16/2022 10:33:47",
"content": "well i guess it is",
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"timestamp": "03/16/2022 10:33:54",
"content": "P(5) is just a constant though",
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"timestamp": "03/16/2022 10:34:03",
"content": "hmm yeah",
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"timestamp": "03/16/2022 10:34:04",
"content": "Q(x) = P(x) - P(5)",
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"timestamp": "03/16/2022 10:34:07",
"content": "how will this help (it wont)",
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"timestamp": "03/16/2022 10:34:16",
"content": "You try it out and see if u get anywhere.",
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"timestamp": "03/16/2022 10:34:50",
"content": "The polynomial R to choose is not complicated, I can assure you",
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"timestamp": "03/16/2022 10:36:39",
"content": "wait isn't $P(5)=(5)^4+a(5)^3+b(5)^2+c(5)+d$?",
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"timestamp": "03/16/2022 10:36:42",
"content": "**hyperlix26**",
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"timestamp": "03/16/2022 10:36:52",
"content": "It is.",
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"content": "a b c d are constants",
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"timestamp": "03/16/2022 10:37:22",
"content": "yeah",
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"timestamp": "03/16/2022 10:37:38",
"content": "and how would Q(x) = P(x) + R(x) help me?",
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"timestamp": "03/16/2022 10:37:50",
"content": "what's R(x)?",
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"timestamp": "03/16/2022 10:37:56",
"content": "Read what I said",
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"timestamp": "03/16/2022 10:38:02",
"content": "I know what P(x) is",
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"timestamp": "03/16/2022 10:38:08",
"content": "I said **you** have to find a suitable R(x)",
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"timestamp": "03/16/2022 10:38:12",
"content": "that is helpful",
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"timestamp": "03/16/2022 10:38:15",
"content": "That is my hint",
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"timestamp": "03/16/2022 10:39:39",
"content": "idk what the suitable R(x) is, wanted to make it equal to $(5)^4+a(5)^3+b(5)^2+c(5)+d$ but you said it wasn't equal to P(5) so that's not it",
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"timestamp": "03/16/2022 10:39:42",
"content": "**hyperlix26**",
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"timestamp": "03/16/2022 10:39:50",
"content": "skdjfnfkiffifofofofkfkfifo",
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"timestamp": "03/16/2022 10:40:03",
"content": "Dont give up before you've even tried",
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"timestamp": "03/16/2022 10:40:06",
"content": "what",
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"timestamp": "03/16/2022 10:40:20",
"content": "oh nvm misread",
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"timestamp": "03/16/2022 10:40:28",
"content": "I told you though",
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"timestamp": "03/16/2022 10:40:34",
"content": "to find a suitable polynomial R(x)",
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"timestamp": "03/16/2022 10:40:46",
"content": "And I also said it isnt complicated, it is simple",
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"timestamp": "03/16/2022 10:41:01",
"content": "Write down a few guesses, see if they could help you any way.",
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"timestamp": "03/16/2022 10:43:25",
"content": "If youre stuck, then say what R have you tried",
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"timestamp": "03/16/2022 10:47:06",
"content": "yeah nope",
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"timestamp": "03/16/2022 10:47:20",
"content": "nothing else makes sense to me except for $(5)^4+a(5)^3+b(5)^2+c(5)+d$",
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"timestamp": "03/16/2022 10:47:22",
"content": "**hyperlix26**",
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"timestamp": "03/16/2022 10:47:35",
"content": "other than that I'm just making stuff up",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:48:28",
"content": "if R(x) is a polynomial to find, why not make R(x)=Q(x)-P(x)?",
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"timestamp": "03/16/2022 10:48:37",
"content": "that isnt even a choice",
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"timestamp": "03/16/2022 10:48:41",
"content": "of R",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/16/2022 10:48:47",
"content": "Do you understand what a polynomial is?",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:48:56",
"content": "yeah",
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"timestamp": "03/16/2022 10:49:02",
"content": "I hinted a polynomial, so please realise it probably isnt a constant",
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"timestamp": "03/16/2022 10:49:16",
"content": "So what example of R could you try",
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"timestamp": "03/16/2022 10:49:18",
"content": "just name one",
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"timestamp": "03/16/2022 10:49:21",
"content": "any",
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"author_id": 898441976142237800,
"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:49:39",
"content": "the same as P(x) but it doesn't make sense",
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"timestamp": "03/16/2022 10:50:36",
"content": "...",
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"timestamp": "03/16/2022 10:50:44",
"content": "Tell me an example",
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"timestamp": "03/16/2022 10:50:49",
"content": "of ANY polynomial",
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"author_id": 898441976142237800,
"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:51:12",
"content": "P(x) is a polynomial",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:51:13",
"content": "",
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"timestamp": "03/16/2022 10:51:31",
"content": "omg",
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"id": 953666889714905100,
"author_id": 321445119171756000,
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"timestamp": "03/16/2022 10:51:44",
"content": "can you keep it simple?",
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"id": 953666940679884800,
"author_id": 898441976142237800,
"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:51:56",
"content": "ax+b?",
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"author_name": "Shuri2060",
"timestamp": "03/16/2022 10:51:59",
"content": "if i randomly asked you for an example of a polynomial you wouldnt give me that",
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"id": 953666964566458500,
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"author_name": "Shuri2060",
"timestamp": "03/16/2022 10:52:02",
"content": "why the letters???",
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"id": 953667005473505300,
"author_id": 898441976142237800,
"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:52:12",
"content": "it still counts right?",
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"timestamp": "03/16/2022 10:52:13",
"content": "An explicit example please?",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:52:27",
"content": "2x+7?",
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"timestamp": "03/16/2022 10:52:31",
"content": "Yes. Good.",
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"author_name": "Shuri2060",
"timestamp": "03/16/2022 10:52:41",
"content": "Now I asked you to consider the new polynomial Q(1) = P(x) + 2x+7",
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"id": 953667206208684000,
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"timestamp": "03/16/2022 10:53:00",
"content": "What can we say using the given information?",
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"timestamp": "03/16/2022 10:53:10",
"content": "It must still be of degree 4",
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"timestamp": "03/16/2022 10:53:19",
"content": "But in particular what is Q(1) and so on",
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"timestamp": "03/16/2022 10:53:35",
"content": "1+2+7",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:53:40",
"content": "that's Q(1)",
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"timestamp": "03/16/2022 10:53:48",
"content": "which is 10",
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"timestamp": "03/16/2022 10:53:52",
"content": "indeed",
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"timestamp": "03/16/2022 10:53:58",
"content": "and you can compute Q 1 2 3 4",
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"timestamp": "03/16/2022 10:53:59",
"content": "yes?",
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"id": 953667465752240300,
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:54:02",
"content": "yeah",
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"timestamp": "03/16/2022 10:54:17",
"content": "Now my hint was to pick a *nice* R(x)",
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"id": 953667592961282000,
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"timestamp": "03/16/2022 10:54:32",
"content": "what 'nice' means, try to figure it out",
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"id": 953667729922076700,
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"timestamp": "03/16/2022 10:55:05",
"content": "I will say now that Q(1) = 10 isn't helpful, so we need a better R",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:55:41",
"content": "yeah I'm figuring out how to find a better R",
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"timestamp": "03/16/2022 10:55:54",
"content": "Q(1) = ?\nQ(2) = ?\nQ(3) = ?\nQ(4) = ?\n\nFirst maybe think what we **want** these to be",
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"timestamp": "03/16/2022 10:56:00",
"content": "for some useful information",
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"timestamp": "03/16/2022 10:56:08",
"content": "Then you can find a good R",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 10:58:45",
"content": "ok if I said we want those to be 0, how would it help?",
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"timestamp": "03/16/2022 10:59:38",
"content": "If you know Q(1) = 0",
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"content": "What does this tell you about Q?",
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"timestamp": "03/16/2022 11:00:22",
"content": "Is there a theorem you can use perhaps?",
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"content": "no idea",
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"content": "(x - 1)",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 11:01:04",
"content": "oh",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 11:01:18",
"content": "1 is a zero of the function?",
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"timestamp": "03/16/2022 11:01:23",
"content": "well yes",
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"content": "so the theorem you can use is?",
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"content": "no idea",
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"timestamp": "03/16/2022 11:02:11",
"content": "Factor theorem",
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"timestamp": "03/16/2022 11:02:17",
"content": "Remainder theorem",
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"timestamp": "03/16/2022 11:02:22",
"content": "surely you have done either?",
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"timestamp": "03/16/2022 11:02:31",
"content": "maybe",
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"timestamp": "03/16/2022 11:02:39",
"content": "Review it then",
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"author_name": "Shuri2060",
"timestamp": "03/16/2022 11:02:47",
"content": "otherwise you'll be stuck",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 11:02:47",
"content": "I don't know what they are called here",
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"author_name": "Shuri2060",
"timestamp": "03/16/2022 11:03:10",
"content": "For a polynomial f\nf(a) = 0 <=> (x-a) is a factor of f(x)",
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"timestamp": "03/16/2022 11:04:08",
"content": "For a polynomial f\nf(a) = k <=> f(x) = (x-a)g(x) + k for some g",
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"timestamp": "03/16/2022 11:04:16",
"content": "Factor and remainder theorems",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 11:04:56",
"content": "yeah I've seen them but I don't understand them enough",
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"author_name": "Hyperlix",
"timestamp": "03/16/2022 11:05:34",
"content": "if you can divide a polynomial by (x-a) and the result is 0, then (x-a) is a factor right?",
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"timestamp": "03/16/2022 11:05:52",
"content": "no...",
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"timestamp": "03/16/2022 11:06:06",
"content": "what",
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"content": "why",
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"timestamp": "03/16/2022 11:06:21",
"content": "if i divide a polynomial by another polynomial I won't get 0",
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"timestamp": "03/16/2022 11:06:26",
"content": "unless the original polynomial is 0",
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"timestamp": "03/16/2022 11:06:30",
"content": "???",
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"timestamp": "03/16/2022 11:06:31",
"content": "I mean the remainder",
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"timestamp": "03/16/2022 11:06:40",
"content": "yh ok but thats just restating what i said",
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"timestamp": "03/16/2022 11:07:04",
"content": "Try applying the theorem to this problem...",
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"timestamp": "03/16/2022 11:07:07",
"content": "yeah basically that's all I know, I don't understand much from the remainder theorem",
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"timestamp": "03/16/2022 11:08:51",
"content": "@Shuri2060 anyways using this method, was it a mistake adding all 4 equations?",
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"content": "did you see me suggesting such a method?",
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"content": "no",
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"content": "Why would you end up doing such a thing in the direction I've been hinting at",
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"content": "also there arent even 4 polynomials",
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"timestamp": "03/16/2022 11:09:58",
"content": "in your working",
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"content": "theres just 1",
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"content": "you mean 4 equations i suppose...",
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"content": "oh equations",
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"timestamp": "03/16/2022 11:10:12",
"content": "yeah",
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"timestamp": "03/16/2022 11:25:12",
"content": "@Hyperlix Has your question been resolved?",
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] | help-10 | a446f8916c9c48a499caa8c8f0fa7a7f |
1,279 | [
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"content": "how do we solve\n$a_n = 3 a_{n - 1} + 10?$",
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"timestamp": "03/16/2022 11:59:46",
"content": "**Chromium**",
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"content": "what's the initial condition?",
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"content": "just a_0?",
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"content": "oh uh",
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"content": "nth",
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"content": ".close",
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] | help-10 | f5031ebfc5e44efa991dc58468ed9164 |
128 | [
{
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"timestamp": "01/17/2022 23:28:01",
"content": "Available help channel!",
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"author_name": "Evitaitini",
"timestamp": "01/17/2022 23:31:28",
"content": "So I've been working through with a trig identity the problem of \"Find all values of x in between [0,2pi] for the inequality of $$sqrt{2}(sin(2x)) + 1 > 0 $$",
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"content": "Pinned a message.",
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"timestamp": "01/17/2022 23:31:31",
"content": "**Evitaitini**",
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"author_name": "Evitaitini",
"timestamp": "01/17/2022 23:32:43",
"content": "And I've gotten it down to $$(2sin(x))*(cos(x)) > -(1/sqrt{2})$$\nBut I don't know how to go further with the 2sin bit since it won't simplify to something neat for the parameters",
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"timestamp": "01/17/2022 23:32:47",
"content": "**Evitaitini**",
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"timestamp": "01/17/2022 23:34:28",
"content": "Do you know the double angle formula for sine?",
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"timestamp": "01/17/2022 23:37:23",
"content": "Leave it as sin(2x)",
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"content": "U get sin(2x) > -1/sqrt(2)",
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"content": "Oh shit they already had the double angle.",
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"timestamp": "01/17/2022 23:40:10",
"content": "Yea listen to epsilon",
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"timestamp": "01/17/2022 23:47:44",
"content": "@Evitaitini Has your question been resolved?",
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"content": "Ooh",
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"author_name": "Evitaitini",
"timestamp": "01/17/2022 23:48:11",
"content": "thank you",
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] | help-10 | 934ab54e312f4d898d891885dbb962fb |
1,280 | [
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"timestamp": "11/09/2021 16:10:25",
"content": "Available help channel!",
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"content": "you just do it until j = n",
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"content": "which you can’t really because the upper bound isn’t an actual number",
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"content": "maybe from a partial sum formula",
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"content": "but right now it has no value because the upper bound isn’t defined",
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"content": "i honestly don’t know",
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"content": "no problem",
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1,281 | [
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"author_name": "Shuri2060",
"timestamp": "03/16/2022 12:06:12",
"content": "rifififififfg you hibihgigog ficicciciocovo",
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"content": "Ok then.",
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"content": "a(n)+5=3(a(n-1)+5)",
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] | help-10 | 53519709f5ca4b0d8418492918e896fc |
1,282 | [
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"timestamp": "03/16/2022 12:32:57",
"content": "Hey everyone,\nI need to calculate the radius and height of a cylinder, where the materiale usage is $20m^2$\nThe material usage can be calculated using this formula:\n$O(r)=10\\cdot r^{-1}+\\pi+r^{2}$\n\nI would assume that I could put 20 instead of $O(r)$, then isolate the radius $r$ but that gives me 3 solutions:\n$20=10\\cdot r^{-1}+\\pi+r^{2} = $\n`r=2.221046 or r=−2.743439 or r=0.522393`",
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"timestamp": "03/16/2022 12:33:01",
"content": "**Juia**",
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"content": "@Juia Has your question been resolved?",
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"timestamp": "03/16/2022 13:00:55",
"content": "hello",
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"content": "by material usage does it mean the material used to cover the whole cylinder",
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"timestamp": "03/16/2022 13:30:03",
"content": "@Juia Has your question been resolved?",
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] | help-10 | 2b8d77311f4e4580a27a036bccd3e1a7 |
1,283 | [
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"content": "Available help channel!",
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"content": "Yes, it does 🙂",
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"timestamp": "03/16/2022 14:01:53",
"content": "@Helpers",
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"timestamp": "03/16/2022 14:07:37",
"content": "if that's the case then u could try using the formula for total surface area of cylinder",
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"timestamp": "03/16/2022 14:07:43",
"content": "and equate it to 20",
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"timestamp": "03/16/2022 14:07:52",
"content": "then you'd get values for the height as well",
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"author_name": "Juia",
"timestamp": "03/16/2022 14:11:23",
"content": "Is it this one?",
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"author_name": "Juia",
"timestamp": "03/16/2022 14:11:39",
"content": "$V=\\pi \\cdot r^{2}\\cdot h$",
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"timestamp": "03/16/2022 14:11:52",
"content": "**Juia**",
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"timestamp": "03/16/2022 14:12:15",
"content": "@vicarious",
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"timestamp": "03/16/2022 14:14:30",
"content": "no no",
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"timestamp": "03/16/2022 14:14:44",
"content": "not the volume, i meant the surface area",
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"timestamp": "03/16/2022 14:14:56",
"content": "volume has units of m^3",
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"author_name": "vicarious",
"timestamp": "03/16/2022 14:14:59",
"content": "not m^2",
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"author_name": "Juia",
"timestamp": "03/16/2022 14:15:41",
"content": "Yeah 🙂",
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"timestamp": "03/16/2022 14:15:44",
"content": "the formula should be 2*pi*r(r+h)",
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"author_name": "Juia",
"timestamp": "03/16/2022 14:16:01",
"content": "Yeah, but that gives me 2 unknowns (radius and height)",
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"timestamp": "03/16/2022 14:16:22",
"content": "you do have two radius values tho",
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"timestamp": "03/16/2022 14:16:28",
"content": "from what you solved earlier",
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"timestamp": "03/16/2022 14:16:53",
"content": "tryin using each value and see what value of height u get",
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"timestamp": "03/16/2022 14:17:04",
"content": "by using the equation we just discussed rn",
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"timestamp": "03/16/2022 14:17:47",
"content": "Okay.",
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"timestamp": "03/16/2022 14:18:02",
"content": "I have these two radius: r=2.221046 or r=0.522393",
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"timestamp": "03/16/2022 14:18:52",
"content": "$20 = 2\\cdot \\pi \\cdot 2.221046\\cdot (2.221046+ h)$",
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"timestamp": "03/16/2022 14:18:55",
"content": "**Juia**",
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"timestamp": "03/16/2022 14:18:56",
"content": "and",
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"author_name": "Juia",
"timestamp": "03/16/2022 14:19:07",
"content": "$20 = 2\\cdot \\pi \\cdot 0.522393\\cdot (0.522393+ h)$",
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"author_id": 432221457360093200,
"author_name": "I can't believe you've done this",
"timestamp": "03/16/2022 14:19:08",
"content": "Was the equation in the question given by the question or is it something you deduced",
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"timestamp": "03/16/2022 14:19:10",
"content": "**Juia**",
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"timestamp": "03/16/2022 14:19:31",
"content": "This one was given in the question:",
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"author_name": "I can't believe you've done this",
"timestamp": "03/16/2022 14:20:23",
"content": "well you could create 2 simultaneous equations",
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"author_name": "I can't believe you've done this",
"timestamp": "03/16/2022 14:20:38",
"content": "one using O(r) = 20 and the other using surface area = 20",
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"author_name": "I can't believe you've done this",
"timestamp": "03/16/2022 14:21:08",
"content": "unless O(r) comes from the surface area equation in which case that probably won't work",
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"author_name": "I can't believe you've done this",
"timestamp": "03/16/2022 14:24:04",
"content": "essentially what im trying to say (or hope will work) is if you try to solve $$20 = 10r^{-1} + \\pi r^2$$ $$20 = 2\\pi r(r+h)$$",
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"timestamp": "03/16/2022 14:24:08",
"content": "**I can't believe you've done this**",
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"timestamp": "03/16/2022 14:24:12",
"content": "simultaneously",
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"timestamp": "03/16/2022 14:24:28",
"content": "not sure if it will work but worth trying",
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"author_name": "I can't believe you've done this",
"timestamp": "03/16/2022 14:26:46",
"content": "like perhaps try finding an equation for $r$ using the first equation and then sub replace both $r$ in the second equation with the one you got from the first one",
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"content": "**I can't believe you've done this**",
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"timestamp": "03/16/2022 14:34:32",
"content": "@Juia Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | c8c5d1a3f3704fec89f28a43a544cd5b |
1,284 | [
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"content": "Available help channel!",
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"author_name": "jazminj",
"timestamp": "03/16/2022 14:58:52",
"content": "Hello everyone! I am just struggling on how to find critical points with e problems 🥲 not sure if I am doing it right. Is it truly possible to not have critical points? If so what to do?",
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"content": "Pinned a message.",
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"content": "@jazminj Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "03/16/2022 15:48:06",
"content": "@jazminj Has your question been resolved?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/16/2022 16:10:40",
"content": "Use x=rcos(t), y=2rsin(t)",
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"timestamp": "03/16/2022 16:11:09",
"content": "That becomes e^{-r^2sin(2t)}",
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"timestamp": "03/16/2022 16:12:39",
"content": "Maximum when r=1 and sin(2t)=-1,minimal when r is 1 and sin(2t)=1",
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"author_name": "jazminj",
"timestamp": "03/16/2022 16:16:34",
"content": "okay and I assume that helps me find the critical points",
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"author_name": "jazminj",
"timestamp": "03/16/2022 16:17:00",
"content": "ooof okay i see what you are getting at",
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"author_name": "jazminj",
"timestamp": "03/16/2022 16:17:50",
"content": "my question is how did u know that y=2rsin(t)? it just is? or its coming from a formula",
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"author_name": "jazminj",
"timestamp": "03/16/2022 16:17:58",
"content": "just curious",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/16/2022 16:18:02",
"content": "?",
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"id": 953749083892367400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/16/2022 16:18:21",
"content": "You don’t know sin(2t)=2sin(t)cos(t)?",
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"id": 953749139592736900,
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"author_name": "Cogwheels of the mind",
"timestamp": "03/16/2022 16:18:34",
"content": "This is all I used",
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},
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"id": 953749149826834400,
"author_id": 747246906966671400,
"author_name": "jazminj",
"timestamp": "03/16/2022 16:18:37",
"content": "its been a while ;-;",
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"id": 953749279078502400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/16/2022 16:19:07",
"content": "sin(x+y)=sin(x)cos(y)+cos(x)sin(y) then let x=y=t",
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"timestamp": "03/16/2022 16:19:20",
"content": "You have sin(2t)=2sin(t)cos(t)",
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"id": 953749376386363500,
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"author_name": "jazminj",
"timestamp": "03/16/2022 16:19:31",
"content": "ohhh",
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"author_id": 747246906966671400,
"author_name": "jazminj",
"timestamp": "03/16/2022 16:19:46",
"content": "thank you so much!",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/16/2022 16:19:50",
"content": "Np",
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"author_name": "jazminj",
"timestamp": "03/16/2022 16:20:11",
"content": ".close",
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},
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"id": 953749548214394900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/16/2022 16:20:12",
"content": "Channel closed",
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}
] | help-10 | aa1dd2e97efe49709246cf0d58a8f06d |
1,285 | [
{
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"timestamp": "03/16/2022 17:49:41",
"content": "Available help channel!",
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"id": 953773586789851300,
"author_id": 410112802045558800,
"author_name": "S.",
"timestamp": "03/16/2022 17:55:43",
"content": "The question: Solve tan²θ = 2 * 1/cosθ for 0° ≤ θ ≤ 360°.\n\nThe answer in the book was: 64.3°, 295.7°, 219.9° and 140.1°.",
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"content": "Pinned a message.",
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"timestamp": "03/16/2022 17:56:30",
"content": "Here's my working out. Idk what I did wrong",
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"timestamp": "03/16/2022 18:11:09",
"content": "@Helpers",
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"id": 953778300201881700,
"author_id": 410112802045558800,
"author_name": "S.",
"timestamp": "03/16/2022 18:14:27",
"content": "oh well .close",
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"id": 953778322658185200,
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"author_name": "S.",
"timestamp": "03/16/2022 18:14:32",
"content": ".close",
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] | help-10 | 40434149da124e6990989f2460db0048 |
1,286 | [
{
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"content": "Available help channel!",
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"id": 953781002398994400,
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"author_name": "AquaDrix",
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"content": "I am stuck on part E. I am doing past paper questions and I am confused on how I am supposed to do this",
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"author_name": "a disappointing son",
"timestamp": "03/16/2022 18:25:29",
"content": "what have you tried",
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"author_name": "AquaDrix",
"timestamp": "03/16/2022 18:26:06",
"content": "Honestly, looking at the question hade made me not try but from the rules I know of, I can't think of a way to do it",
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"timestamp": "03/16/2022 18:26:29",
"content": "i assume you know exponent laws? if not, google them",
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"timestamp": "03/16/2022 18:26:41",
"content": "hint: rewrite 1/(9^x) with a base of 3",
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"id": 953782512776265700,
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"timestamp": "03/16/2022 18:31:11",
"content": "I got 1/3^2+x",
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"timestamp": "03/16/2022 18:31:59",
"content": "?",
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"id": 953782726513811600,
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"author_name": "a disappointing son",
"timestamp": "03/16/2022 18:32:02",
"content": "how so",
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"id": 953783175283359900,
"author_id": 508387950661337100,
"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:33:49",
"content": "how",
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"author_name": "AquaDrix",
"timestamp": "03/16/2022 18:33:49",
"content": "Well, I learned exponent laws recently so there might be a flaw in my method but what I basically did was I assumed that since I can write 9 as 3^2, and when you multiply indices together you add the power so that's what I did",
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"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:34:07",
"content": "the 1/9 means 9^-1",
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"id": 953783273992122500,
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"timestamp": "03/16/2022 18:34:12",
"content": "refer back to your exponent laws",
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"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:34:19",
"content": "ye[p",
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"id": 953783340375363600,
"author_id": 508387950661337100,
"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:34:28",
"content": "good luck aqua man",
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"timestamp": "03/16/2022 18:34:31",
"content": "actually i think you just interpreted it incorrectly",
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"id": 953783453797744600,
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"timestamp": "03/16/2022 18:34:55",
"content": "you rewrote $9$ \nas $3^2$, yeah, but that gets you $(3^2)^x$",
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"timestamp": "03/16/2022 18:35:17",
"content": "**a disappointing son**",
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"timestamp": "03/16/2022 18:36:04",
"content": "the law *you* tried to apply states $a^b\\cdot a^c=a^{b+c}$",
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"timestamp": "03/16/2022 18:36:07",
"content": "**a disappointing son**",
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"timestamp": "03/16/2022 18:36:17",
"content": "but you're raising an exponent to an exponent here, not multiplying",
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"timestamp": "03/16/2022 18:40:10",
"content": "we've already established that. this isn't your problem",
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"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:41:14",
"content": "sorry again",
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"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:41:20",
"content": "that was inapropriate of me",
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"timestamp": "03/16/2022 18:45:55",
"content": "@AquaDrix do you know how to convert 1/9x to an exponent",
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"timestamp": "03/16/2022 18:47:31",
"content": "I did some working out, and got $3^2x-a+2^x$ = $3^2y-x$",
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"timestamp": "03/16/2022 18:47:33",
"content": "**AquaDrix**",
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"timestamp": "03/16/2022 18:48:03",
"content": "This basically",
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"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:48:48",
"content": "now you can cancel the 3s",
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"timestamp": "03/16/2022 18:49:06",
"content": "that ain't right",
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"author_name": "ShadoeStorm",
"timestamp": "03/16/2022 18:49:19",
"content": "so it becomes 2x - 1 + 2x = 2y",
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"timestamp": "03/16/2022 18:49:28",
"content": "he canceld the x",
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"timestamp": "03/16/2022 18:49:34",
"content": "i thought the same thing",
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"author_name": "a disappointing son",
"timestamp": "03/16/2022 18:50:01",
"content": "don't do people's work for them",
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"timestamp": "03/16/2022 18:50:08",
"content": "also that's wrong",
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"content": "i didnt",
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"timestamp": "03/16/2022 18:50:32",
"content": "yes, you did",
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"timestamp": "03/16/2022 18:50:41",
"content": "that's not up for debate, i am *looking* at the work you did for him",
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"timestamp": "03/16/2022 18:51:23",
"content": "i guess",
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"timestamp": "03/16/2022 18:51:26",
"content": "i did some",
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"author_name": "Mathematics Bot",
"timestamp": "03/16/2022 19:03:03",
"content": "@AquaDrix Has your question been resolved?",
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"timestamp": "03/16/2022 19:08:33",
"content": "Channel closed",
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] | help-10 | 65f0bc42263c4117b16b6454af358ead |
1,287 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/16/2022 19:09:34",
"content": "Available help channel!",
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"author_name": "alSanity",
"timestamp": "03/16/2022 19:51:09",
"content": "(Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list.)\ntan(𝜃) + cot(𝜃) = 4 sin(2𝜃)",
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"timestamp": "03/16/2022 19:51:09",
"content": "Pinned a message.",
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"id": 953802949744787600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:52:24",
"content": "Let's start by getting all the trig functions in terms of theta",
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},
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"id": 953802999199838300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:52:35",
"content": "How do you get sin(2theta) in terms of just theta",
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"id": 953803161041244200,
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"author_name": "alSanity",
"timestamp": "03/16/2022 19:53:14",
"content": "u change it to sin(theta)cos(theta)",
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},
{
"id": 953803194302079000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:53:22",
"content": "yh",
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},
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"id": 953803283745611900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:53:43",
"content": "but $\\sin{2\\theta} \\not= \\sin{\\theta}\\cos{\\theta}$",
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{
"id": 953803293732253700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/16/2022 19:53:46",
"content": "**azeem321**",
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"timestamp": "03/16/2022 19:54:17",
"content": "i meant 2sin(theta)cos(theta)",
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"id": 953803475244974100,
"author_id": 872024354572103700,
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"timestamp": "03/16/2022 19:54:29",
"content": "good",
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},
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"id": 953803485130932200,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:54:31",
"content": "now we have",
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"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:54:50",
"content": "$\\tan{\\theta} + \\cot{\\theta} = 8\\sin{\\theta}\\cos{\\theta}$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/16/2022 19:54:53",
"content": "**azeem321**",
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"id": 953803595726327800,
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"author_name": "alSanity",
"timestamp": "03/16/2022 19:54:58",
"content": "yep",
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"id": 953803597366325400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:54:58",
"content": "now what",
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},
{
"id": 953803760021430300,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 19:55:37",
"content": "now u change tan and cot to sin(theta)/cos(theta) and cot to cos(theta)/sin(theta)",
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{
"id": 953803919019089900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:56:15",
"content": "good and after doing that how about multiplying both sides by $\\sin{\\theta}\\cos{\\theta}$",
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"id": 953803929454526600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/16/2022 19:56:17",
"content": "**azeem321**",
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"id": 953804075986718700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:56:52",
"content": "Giving $\\sin^2{\\theta} + \\cos^2{\\theta} =8(\\sin{\\theta}\\cos{\\theta})^2$",
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},
{
"id": 953804127488573400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:57:04",
"content": "now what",
"attachments": [],
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"reference": null
},
{
"id": 953804246501974000,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 19:57:33",
"content": "distribute the 8?",
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},
{
"id": 953804779107287000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/16/2022 19:59:40",
"content": "**azeem321**",
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{
"id": 953804811948666900,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:59:48",
"content": "sorry i made a typo",
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{
"id": 953804828184813600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 19:59:51",
"content": "now what",
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},
{
"id": 953804886984777700,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:00:05",
"content": "square root both sides",
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{
"id": 953804915594129500,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:00:12",
"content": "?",
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},
{
"id": 953804940453748700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:00:18",
"content": "what is s^2+c^2",
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},
{
"id": 953805045680472000,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:00:43",
"content": "1",
"attachments": [],
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},
{
"id": 953805165717225500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:01:12",
"content": "Can you solve it now?",
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"id": 953805488586362900,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:02:29",
"content": "umm tbh no thats the part im stuck on",
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"id": 953805786365198300,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:03:40",
"content": "I turned that into 1/2=(sin(2theta))^2",
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"id": 953806116939243500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:04:59",
"content": "good",
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},
{
"id": 953806337270227000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:05:51",
"content": "So now you must solve $\\sin{2\\theta} = \\pm \\frac{1}{\\sqrt{2}}$",
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"id": 953806386234540000,
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"author_name": "TeXit",
"timestamp": "03/16/2022 20:06:03",
"content": "**azeem321**",
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"id": 953806426319495300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:06:12",
"content": "u can do this now?",
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},
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"id": 953806440894722000,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:06:16",
"content": "which I get pi/8 and -pi/8",
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},
{
"id": 953806483273969800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:06:26",
"content": "notice the domain",
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},
{
"id": 953806518715809800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:06:34",
"content": "and remember sin(2x) is periodic",
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"id": 953806533471391700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:06:38",
"content": "with period pi",
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"id": 953806606146101200,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:06:55",
"content": "which means u can add/subtract pi",
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"id": 953806636441546800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:07:02",
"content": "and it will be a solution",
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{
"id": 953806654904881200,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:07:07",
"content": "so if x=a is a solution",
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{
"id": 953806672374169600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:07:11",
"content": "x=a+pi is a solution",
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},
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"id": 953806706335416300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:07:19",
"content": "x=a+pi+pi is a solution",
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},
{
"id": 953806740703551600,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:07:27",
"content": "x=a-pi is a soluition",
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},
{
"id": 953806786358546400,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:07:38",
"content": "but the question only wants the solutions between 0,2pi",
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},
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"id": 953807068974964900,
"author_id": 711358354743623700,
"author_name": "alSanity",
"timestamp": "03/16/2022 20:08:46",
"content": "we just add pi to both of them until we get all the possible solutions in the domain?",
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},
{
"id": 953807275720589300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:09:35",
"content": "let's put this on a back burner",
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},
{
"id": 953807294536241200,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:09:39",
"content": "let me show u something important",
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"id": 953807419316768900,
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"timestamp": "03/16/2022 20:10:09",
"content": "",
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"timestamp": "03/16/2022 20:10:18",
"content": "this is the graph of sin(x)",
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},
{
"id": 953807539471011800,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "03/16/2022 20:10:38",
"content": "Suppose we want to find all values of x, for which sin(x) = a",
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"id": 953807694626693100,
"author_id": 872024354572103700,
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"timestamp": "03/16/2022 20:11:15",
"content": "we know there is a solution at the red line",
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"author_id": 872024354572103700,
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"timestamp": "03/16/2022 20:11:54",
"content": "How do you get the second solution?",
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"timestamp": "03/16/2022 20:13:08",
"content": "the next point where they intersect",
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"timestamp": "03/16/2022 20:13:29",
"content": "yh",
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"author_id": 872024354572103700,
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"timestamp": "03/16/2022 20:13:38",
"content": "but most calculators won't give you that solution",
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"timestamp": "03/16/2022 20:13:46",
"content": "so what algebra can u do to get that solution",
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"timestamp": "03/16/2022 20:13:55",
"content": "look at the symmetry of the curve",
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"content": "$\\sin{x} = \\sin({\\pi-x})$",
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"timestamp": "03/16/2022 20:14:32",
"content": "**azeem321**",
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"timestamp": "03/16/2022 20:14:58",
"content": "origin symmetry",
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"content": "?",
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"timestamp": "03/16/2022 20:15:13",
"content": "so its odd",
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"content": "",
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"timestamp": "03/16/2022 20:16:12",
"content": "Notice that the curve is the same either side of the red line",
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"timestamp": "03/16/2022 20:16:21",
"content": "ohhhh",
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"timestamp": "03/16/2022 20:17:17",
"content": "I take pi minus what I got?",
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"content": "That would be for just sin(x)",
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"timestamp": "03/16/2022 20:17:30",
"content": "to get the other answer",
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"timestamp": "03/16/2022 20:17:37",
"content": "But since since we have sin(2x)",
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"timestamp": "03/16/2022 20:18:10",
"content": "You do $\\frac{\\pi}{2}- \\frac{\\pi}{8}$",
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"timestamp": "03/16/2022 20:18:23",
"content": "**azeem321**",
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"timestamp": "03/16/2022 20:19:12",
"content": "because the period was half of what it was before?",
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"content": "3pi/8",
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"timestamp": "03/16/2022 20:19:47",
"content": "So for $\\sin{2x} = \\frac{1}{\\sqrt{2}} \\implies x = \\frac{\\pi}{8}, \\frac{3\\pi}{8}$",
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"timestamp": "03/16/2022 20:19:58",
"content": "**azeem321**",
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"timestamp": "03/16/2022 20:20:06",
"content": "but remember",
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"author_id": 872024354572103700,
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"timestamp": "03/16/2022 20:20:19",
"content": "we can add/subtract pi to each of these values",
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"author_name": "alSanity",
"timestamp": "03/16/2022 20:20:20",
"content": "also the negtaive",
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"timestamp": "03/16/2022 20:20:33",
"content": "Yeh let's focus on the postive first",
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"timestamp": "03/16/2022 20:20:42",
"content": "if we add pi to these values",
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"timestamp": "03/16/2022 20:20:50",
"content": "will get another solution between 0,2pi",
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"timestamp": "03/16/2022 20:21:27",
"content": "oh my thank you s much now I understand it now",
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"id": 953810609798009000,
"author_id": 872024354572103700,
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"timestamp": "03/16/2022 20:22:50",
"content": "So keep adding pi's to you get all solutions in the domain the question gave",
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"timestamp": "03/16/2022 20:22:56",
"content": "and do the same for the negative",
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"timestamp": "03/16/2022 20:23:01",
"content": "I found my mistake",
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"author_name": "alSanity",
"timestamp": "03/16/2022 20:23:14",
"content": "thank you it was an idiotic mistake",
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"id": 953810766174244900,
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"timestamp": "03/16/2022 20:23:27",
"content": "it happens",
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"timestamp": "03/16/2022 20:23:48",
"content": "yah I'm sorry and thank you so much",
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"timestamp": "03/16/2022 20:38:49",
"content": "@alSanity Has your question been resolved?",
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"timestamp": "03/16/2022 20:38:55",
"content": "Channel closed",
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] | help-10 | 06ec8c32e60b4652aa2b53607278685e |
1,288 | [
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"timestamp": "03/16/2022 20:39:55",
"content": "Available help channel!",
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"content": "That's the first derivative",
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"timestamp": "03/16/2022 20:44:02",
"content": "graph of 4x^3+3x^2+2x",
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"id": 953815967287377900,
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"timestamp": "03/16/2022 20:44:07",
"content": "that's the second derivative right?",
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"content": "No",
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"timestamp": "03/16/2022 20:44:40",
"content": "f'' is not that",
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"timestamp": "03/16/2022 20:44:54",
"content": "oh wow im stupid",
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"content": "thank you",
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"timestamp": "03/16/2022 20:45:40",
"content": ".close",
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"timestamp": "03/16/2022 20:45:41",
"content": "Channel closed",
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] | help-10 | 11a62fe6594e45a8a224734437ea350f |
1,289 | [
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"content": "Yes",
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] | help-10 | 6238fe60fe1242c78fdb84d056a2ed26 |
129 | [
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"id": 932936379820818400,
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"id": 932938713451884500,
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"timestamp": "01/18/2022 05:05:22",
"content": "is \" if gof= g o (f bar) then f = (f bar)\" true if g is not injective?",
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"id": 932938930389655600,
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"content": "i cant seem to figure that out",
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"id": 932941957280448500,
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"content": "@Helpers",
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"timestamp": "01/18/2022 05:23:17",
"content": "What does the bar denote",
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"content": "f bar is just another function right ?",
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"content": "If you don't have g injective then you can have g(x)=g(y) for x!=y",
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"timestamp": "01/18/2022 05:27:59",
"content": "so you could have $g(f(x)) = g(\\overline{f}(x))$ for $f(x) \\neq \\overline{f}(x)$",
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"timestamp": "01/18/2022 05:28:01",
"content": "**Tom**",
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"timestamp": "01/18/2022 05:29:14",
"content": "i havent been able to think of one tho",
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"author_id": 456226577798135800,
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"timestamp": "01/18/2022 05:29:18",
"content": "A counter example will work, right",
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"timestamp": "01/18/2022 05:29:57",
"content": "g=x^2\nf=x\nf bar=|x|",
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"timestamp": "01/18/2022 05:29:59",
"content": "There",
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"author_id": 560402540185911300,
"author_name": "weigao",
"timestamp": "01/18/2022 05:31:24",
"content": "oh ok my b thanks that works",
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"author_name": "weigao",
"timestamp": "01/18/2022 05:32:03",
"content": ".close",
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},
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"id": 932945432164851700,
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"timestamp": "01/18/2022 05:32:04",
"content": "Channel closed",
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] | help-10 | 8f725d2ea4de4628a0b66b8833b46326 |
1,290 | [
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1,291 | [
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] | help-10 | 049f454a18a24f879025a8d2823d982f |
1,292 | [
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"author_name": "DiWild",
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"content": "Can someone explain me the following statements?",
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"content": "for the first one, do there exist two scalars a and b, such that (1/2)v = av + bw?",
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"content": "No",
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"content": "why not?",
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"content": "There is no info about it",
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"author_name": "Zybikron",
"timestamp": "03/17/2022 00:04:46",
"content": "So you can't pick an a or b that make that equation true?",
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"id": 953866534655254500,
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"content": "A yes I can",
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"author_name": "Zybikron",
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"content": "the by definition, 1/2 v is a linear combination of v and w",
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"content": "what choice of a and b makes it true?",
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"content": "@DiWild Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 4a2194c43711480aa229d3cb63f0bb47 |
1,293 | [
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"id": 953897918966956000,
"author_id": 167497165135020030,
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"id": 953897931734388700,
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"id": 953897944719962100,
"author_id": 167497165135020030,
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"content": "🥺",
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"id": 953897957051236400,
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"id": 953897985115308200,
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"content": "im so silly and goofy",
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"id": 953897995282305000,
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"content": "in my brain",
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"id": 953898000743301100,
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"content": "aha",
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"id": 953898010008506400,
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"id": 953898335566172200,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 02:11:25",
"content": "do u know how to get the inverse of a function?",
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"id": 953898411185291300,
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"timestamp": "03/17/2022 02:11:43",
"content": "uhhhh yes",
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"id": 953898420651847700,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:11:46",
"content": "however",
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{
"id": 953898435315110000,
"author_id": 167497165135020030,
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"timestamp": "03/17/2022 02:11:49",
"content": "brain slow",
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"id": 953898449412182000,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:11:52",
"content": "so if u could help me out",
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{
"id": 953898457133895800,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:11:54",
"content": "a lil",
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},
{
"id": 953899460847607800,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 02:15:54",
"content": "get the inverse of f(x) first",
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"id": 953899881674735600,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 02:17:34",
"content": "here are the steps in case u forgot them",
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"id": 953901046709751800,
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"timestamp": "03/17/2022 02:22:12",
"content": "i figured it out",
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"id": 953901058487382000,
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"timestamp": "03/17/2022 02:22:14",
"content": "thans",
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{
"id": 953901064866918400,
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"timestamp": "03/17/2022 02:22:16",
"content": "ks",
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"id": 953904534185443300,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:36:03",
"content": ".close",
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},
{
"id": 953904545711394800,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:36:06",
"content": "ayo",
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{
"id": 953904551247904900,
"author_id": 167497165135020030,
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"timestamp": "03/17/2022 02:36:07",
"content": "chill",
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"id": 953904571200196700,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:36:12",
"content": "what",
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"timestamp": "03/17/2022 02:36:21",
"content": "😳",
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"id": 953904614984532000,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:36:22",
"content": "ah i see",
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"timestamp": "03/17/2022 02:36:32",
"content": "@wwywinym final 2 questions",
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"id": 953904665819500500,
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"timestamp": "03/17/2022 02:36:35",
"content": "i forgot how to do these",
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"id": 953904825354035200,
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"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:37:13",
"content": "isn't the inverse of an inverse function just itself or am i tripping",
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"content": "",
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"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:37:41",
"content": "and for the first question the two \"cancel,\" because they do the opposite action",
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"id": 953904949190864900,
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"timestamp": "03/17/2022 02:37:42",
"content": "you are not tripping",
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"id": 953905079394664400,
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"timestamp": "03/17/2022 02:38:13",
"content": "what would questio 12 be",
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"id": 953905115826376700,
"author_id": 167497165135020030,
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"timestamp": "03/17/2022 02:38:22",
"content": "like its the inverse of the inverse?",
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"id": 953905119286665200,
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"timestamp": "03/17/2022 02:38:23",
"content": "of 1",
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"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:38:42",
"content": "i mean",
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"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:38:56",
"content": "this one was in response to question 12 not 11 but yeah lol",
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"id": 953905314778984400,
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"timestamp": "03/17/2022 02:39:09",
"content": "uhhh",
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"id": 953905337843449900,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:39:15",
"content": "i applied the same logic to 11",
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"id": 953905345665835000,
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"timestamp": "03/17/2022 02:39:17",
"content": "and it worked",
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"id": 953905346576003100,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:39:17",
"content": "if you do the inverse of an inverse function that just might be f(1) im not sure though",
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"id": 953905417778499600,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:39:34",
"content": "i meant that f^-1(f^-1(x))=f(x)",
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"id": 953905448057200800,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 02:39:41",
"content": "i think, it's been too long",
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"id": 953905484132413400,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:39:50",
"content": "perhaps",
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"id": 953905956838850600,
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"author_name": "R1",
"timestamp": "03/17/2022 02:41:42",
"content": "uhhh",
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"id": 953905962287235100,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:41:44",
"content": "idk",
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"id": 953905989915148300,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:41:50",
"content": "😵💫",
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"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:44:19",
"content": "",
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"timestamp": "03/17/2022 02:44:20",
"content": "gahhh",
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"author_name": "R1",
"timestamp": "03/17/2022 02:49:20",
"content": "@wwywinym :love:",
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"author_name": "wwywinym",
"timestamp": "03/17/2022 02:53:02",
"content": "im not sure also :<",
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"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 02:53:12",
"content": "u could mention the helpers",
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"id": 953908916721451000,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:53:28",
"content": "@Helpers HELP",
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{
"id": 953908928691974100,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:53:31",
"content": "😭",
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"id": 953909190689194000,
"author_id": 881615914636804200,
"author_name": "norablackcat",
"timestamp": "03/17/2022 02:54:33",
"content": "the first step is to find f^-1(1)",
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"id": 953909729472692200,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:56:42",
"content": "yes",
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"id": 953909737676734500,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:56:44",
"content": "whats the second",
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"id": 953909748099592200,
"author_id": 167497165135020030,
"author_name": "R1",
"timestamp": "03/17/2022 02:56:46",
"content": "step",
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{
"id": 953912419044950000,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 03:07:23",
"content": "hi",
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{
"id": 953912491518337000,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 03:07:40",
"content": "what's f(x)",
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"id": 953912586062168000,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 03:08:03",
"content": "oh it's just 6",
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"id": 953912611311845400,
"author_id": 460640083142508540,
"author_name": "🙛𝕍ѳrtєx🙙",
"timestamp": "03/17/2022 03:08:09",
"content": "i say here",
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 03:13:09",
"content": "@R1 Has your question been resolved?",
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"timestamp": "03/17/2022 03:17:14",
"content": "Channel closed",
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] | help-10 | 4beb0ac4860345e8b04ec0662e99331e |
1,294 | [
{
"id": 953915149465583600,
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"content": "Available help channel!",
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"id": 953916137832333300,
"author_id": 492714846438293500,
"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:22:10",
"content": "I'm having trouble understanding this following question: \"suppose that the echelon form of an augmented matrix has a pivot position in every column except the right most one. how many solutions does the associated linear system have?\" The back of the book states that such a system of equations should have exactly one solution but I am trouble seeing how that is true in a general sense. Couldn't such an equation have multiple solutions given there is a free variable or maybe no solutions at all if the system is inconsistent? I might be misunderstanding the question 😅",
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"timestamp": "03/17/2022 03:22:10",
"content": "Pinned a message.",
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"id": 953918000170405900,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "03/17/2022 03:29:34",
"content": "i feel this is better served if you write out an example matrix",
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"id": 953918165816082400,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "03/17/2022 03:30:13",
"content": "like just come up with an echelon form matrix that fits what you have, and then study that matrix",
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"timestamp": "03/17/2022 03:37:10",
"content": "@Cold_SNe64 Has your question been resolved?",
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"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:40:23",
"content": "So I found this arbitrary matrix online that I would like to refer to as an example in echelon form (I don't have my phone on me to send a picture per say at the moment) but in reference to this matrix, it has a zero row at the bottom and no pivot positions on the rightmost column as the question states. Looking at this specific matrix, one could say that there will be free variables...? Wouldn't that imply that there is infinitely many solutions rather than just exactly one solution?",
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"timestamp": "03/17/2022 03:41:01",
"content": "I might be totally misunderstanding though lol",
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"author_name": "Camilleone",
"timestamp": "03/17/2022 03:47:03",
"content": "i think you just didn't read the question carefully",
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"id": 953922465929764900,
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"author_name": "Camilleone",
"timestamp": "03/17/2022 03:47:18",
"content": "there's a certain part you missed",
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"id": 953922834244177900,
"author_id": 492714846438293500,
"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:48:46",
"content": "Wait where might that be 😭 ?",
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"id": 953923272880296000,
"author_id": 492714846438293500,
"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:50:31",
"content": "I see echelon form, augmented matrix, and there exists a pivot position in every column with exception to the rightmost one as the conditions for this question; I might have missed a subtlety somewhere",
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"id": 953923465268822100,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "03/17/2022 03:51:17",
"content": "indeed you did, though i dunno if i'd call it a subtlety",
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"id": 953923531756933100,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "03/17/2022 03:51:33",
"content": "there exists a pivot position, where, exactly?",
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"id": 953923764821835800,
"author_id": 492714846438293500,
"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:52:28",
"content": "in every column with exception to the rightmost one..right?",
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"author_name": "Camilleone",
"timestamp": "03/17/2022 03:52:31",
"content": "yep",
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"id": 953923813836456000,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "03/17/2022 03:52:40",
"content": "do you see that very innocent word 'every'?",
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"id": 953923898737573900,
"author_id": 492714846438293500,
"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:53:00",
"content": "OH!",
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"id": 953923914344595500,
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"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:53:04",
"content": "Yeah...",
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"id": 953923929100128300,
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"author_name": "Camilleone",
"timestamp": "03/17/2022 03:53:07",
"content": "yepp",
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"author_name": "Cold_SNe64",
"timestamp": "03/17/2022 03:53:33",
"content": "Thanks, ill return to working on it now that I got clarification😂",
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"timestamp": "03/17/2022 03:53:37",
"content": ".close",
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"timestamp": "03/17/2022 03:53:37",
"content": "Channel closed",
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] | help-10 | 88bbf58c83724058af9cdcb44bdd48a3 |
1,295 | [
{
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"timestamp": "03/17/2022 04:57:24",
"content": "Available help channel!",
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{
"id": 953943332915142700,
"author_id": 429803037565911040,
"author_name": "minibirdy",
"timestamp": "03/17/2022 05:10:13",
"content": "How do I write 5=logb32 in it's equivalent exponential form?",
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"timestamp": "03/17/2022 05:10:14",
"content": "Pinned a message.",
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"id": 953943517800046600,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "03/17/2022 05:10:58",
"content": "You’ll need to know two forms",
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"id": 953943540633833500,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "03/17/2022 05:11:03",
"content": "a^b=c",
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"id": 953943608493502500,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "03/17/2022 05:11:19",
"content": "b=log_a(c)",
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"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "03/17/2022 05:11:34",
"content": "Using this, convert it into a^b=c form",
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"author_name": "DontalRulz",
"timestamp": "03/17/2022 05:11:36",
"content": "@minibirdy",
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"author_name": "minibirdy",
"timestamp": "03/17/2022 05:11:43",
"content": "Alright I'll try",
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"id": 953944552660676600,
"author_id": 429803037565911040,
"author_name": "minibirdy",
"timestamp": "03/17/2022 05:15:04",
"content": "So is b of the base of log equal to 10?",
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"author_id": 429803037565911040,
"author_name": "minibirdy",
"timestamp": "03/17/2022 05:16:26",
"content": "Wait nvm that's probably not important",
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"id": 953945702973702100,
"author_id": 429803037565911040,
"author_name": "minibirdy",
"timestamp": "03/17/2022 05:19:39",
"content": "So ngl I'm not getting the answer",
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"author_name": "minibirdy",
"timestamp": "03/17/2022 05:23:04",
"content": "I assumed need to rewrite it as 5=log_8(4) but i rewrote it as a^b=c and got 8^5=4 which is not right",
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"id": 953947566846914700,
"author_id": 429803037565911040,
"author_name": "minibirdy",
"timestamp": "03/17/2022 05:27:03",
"content": "Oh wait is it b^5=32",
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 05:42:03",
"content": "@minibirdy Has your question been resolved?",
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] | help-10 | 635e44164a65401fb03306b0e5bf25b0 |
1,296 | [
{
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"content": "Available help channel!",
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"content": "$ln(e^{13x})$",
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"content": "**DETOX (143 🍓)**",
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"content": "Yep",
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"content": "do you know that $\\ln(e^x) = e^{\\ln(x)} = x$",
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"content": "$\\ln$",
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"content": "**DETOX (143 🍓)**",
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"content": "So I just need to rearrange it?",
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"author_name": "DETOX",
"timestamp": "03/17/2022 06:08:28",
"content": "ln(x) and e^x are inverse of each other",
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"timestamp": "03/17/2022 06:08:31",
"content": "they cancel out",
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"content": "$\\ln(e^x)=x \\implies \\ln(e^{13x}) = 13x$",
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"content": "**DETOX (143 🍓)**",
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"timestamp": "03/17/2022 06:11:11",
"content": "So thats it's simplified form?",
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"content": "yup",
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"content": "the ln(e^x) cancels and is therefore redundant",
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"content": "Ohhhh",
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"content": "Okay I see what you mean now",
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"content": "Thanks so much!",
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] | help-10 | 75a3baf5fa244c3f9769f620b2d3bc9e |
1,297 | [
{
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"content": "Why is this false?",
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"content": "What about i?",
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"content": "Well, I'm doing some problems for logic and the says it's logically false",
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"timestamp": "03/17/2022 06:57:33",
"content": "Why is that?",
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"author_name": "Mat",
"timestamp": "03/17/2022 06:57:57",
"content": "Because i^2=-1 in C",
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"timestamp": "03/17/2022 06:58:02",
"content": "Is there more than one number in the complex domain for which the proposition is true",
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"content": "$\\exists!x\\in\\mathbb{C},x^2=-1$",
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"timestamp": "03/17/2022 06:58:30",
"content": "**andrewFTW8**",
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"timestamp": "03/17/2022 06:58:39",
"content": "it's supposed to be written like this sorry",
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"timestamp": "03/17/2022 06:58:56",
"content": "Oh now I see, I misunderstood",
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"timestamp": "03/17/2022 07:00:11",
"content": "Then \nx^2=-1=i^2\n <=> x^2 - i^2 = 0 \n<=> (x-i)(x+i)=0\n<=> x=i or x=-i\nThe last line because C is a field",
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"content": "I get it now",
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"timestamp": "03/17/2022 07:00:35",
"content": "Thanks a lot",
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"timestamp": "03/17/2022 07:15:35",
"content": "@andrewFTW8 Has your question been resolved?",
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] | help-10 | 0fa8aace984c4007bf836d9d0599a4be |
1,298 | [
{
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"id": 953982139110658000,
"author_id": 264472398596669440,
"author_name": "chxn",
"timestamp": "03/17/2022 07:44:26",
"content": "“Find the volume generated when the region bounded by y=sqrt(x), y=2, and x=0 is rotated about the vertical line x=4”.",
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"timestamp": "03/17/2022 07:45:32",
"content": "I am quite confused as I am just learning this",
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"content": "I am assuming we end up with something like\n``pi int[0,2] (4-y^2)dy`` ?",
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"content": "First step is to draw the graph and mark the region",
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"timestamp": "03/17/2022 07:55:16",
"content": "and then I just solve that out",
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"content": "After you do that, specially mark the axis of rotation",
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"timestamp": "03/17/2022 07:56:01",
"content": "Mhmm I got that",
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"timestamp": "03/17/2022 07:56:33",
"content": "hard for me to answer when im also picturing it in my head - are you able to share your diagram?",
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"timestamp": "03/17/2022 07:58:34",
"content": "and which section",
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"id": 953985732865818600,
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"timestamp": "03/17/2022 07:58:42",
"content": "I think it was something like pi(R-r)^2",
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"timestamp": "03/17/2022 07:58:51",
"content": "The section touching the y axis",
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"timestamp": "03/17/2022 07:58:56",
"content": "top left, yes",
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"timestamp": "03/17/2022 07:59:10",
"content": "and this sounds right.... for more visualisation",
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"timestamp": "03/17/2022 07:59:14",
"content": "but I was confused on finding R and r",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 07:59:20",
"content": "draw a varying horizontal line",
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"id": 953985930279137400,
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 07:59:29",
"content": "y = a\n0 < a < 2",
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"timestamp": "03/17/2022 07:59:33",
"content": "slider on desmos",
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"timestamp": "03/17/2022 07:59:39",
"content": "thats how you are integrating I believe",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:00:03",
"content": "And then figure out the corresponding discs involved for each horizontal line",
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"timestamp": "03/17/2022 08:00:30",
"content": "So for a particular height y, you need to figure out what the 2 radii are",
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"timestamp": "03/17/2022 08:00:40",
"content": "The biggest one is 4.\nBut then the smaller one...",
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"timestamp": "03/17/2022 08:01:08",
"content": "it is the horizontal distance from x = 4 to the function",
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"timestamp": "03/17/2022 08:01:35",
"content": "Is just sqrtx or y^2 since we are doing with dy?",
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"content": ",, \\pi\\int^2_0R(y)^2-r(y)^2 \\,\\dd y",
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"timestamp": "03/17/2022 08:02:49",
"content": "I like writing like this",
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"content": "and determining what the functions are so I am clear in my working",
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"content": "and sure of the answer",
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"content": ",, \\pi\\int^2_04^2-r(y)^2 \\,\\dd y",
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"timestamp": "03/17/2022 08:03:37",
"content": "Lets see for r(y)",
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"content": "If you are y up, your x coord is y^2",
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"content": "so the distance is 4 - y^2, I agree",
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"content": "In particular if you are at (x, y) on the function",
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"content": "the little radius is 4-x",
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"content": "so what you did sounds right",
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"content": ",, \\pi\\int^2_04^2-(4-y^2)^2 ,\\dd y",
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"content": "oh wait",
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"timestamp": "03/17/2022 08:05:43",
"content": "no i think we disagree then 🤔",
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"content": "no no",
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"content": "i typed it wrong",
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"timestamp": "03/17/2022 08:05:56",
"content": "😂",
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"timestamp": "03/17/2022 08:06:07",
"content": "Ok no sorry",
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"author_name": "chxn",
"timestamp": "03/17/2022 08:06:07",
"content": "Okay lol I was about to be so confused",
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"content": "I think I disagree with this",
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"content": "uhhh let me adjust this diagram",
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"content": "Whaa I mean I was basically just saying this but a little different?",
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"content": "i think it is not quite there but one sec, desmos",
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"content": "Ok you agree it is this? spinning around the blue line",
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"content": "We need to calculate the volume of the purple region rotated around it",
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"timestamp": "03/17/2022 08:10:50",
"content": "Mhmm",
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"timestamp": "03/17/2022 08:11:43",
"content": "So imagine that black line sliding up and down",
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"content": "We are adding the corresponding annulus",
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"timestamp": "03/17/2022 08:12:10",
"content": "for each of the black line... does that make sense?",
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"timestamp": "03/17/2022 08:12:49",
"content": "What’s annulus :monkaS:",
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"timestamp": "03/17/2022 08:13:18",
"content": "disc?",
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"timestamp": "03/17/2022 08:13:23",
"content": "does that make sense?",
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"timestamp": "03/17/2022 08:13:28",
"content": "Ye",
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"timestamp": "03/17/2022 08:13:31",
"content": "disc is the area enclosed by a circle",
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"timestamp": "03/17/2022 08:13:42",
"content": "annulus is if you subtract 1 disc from another",
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"timestamp": "03/17/2022 08:13:45",
"content": "like a ring",
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"timestamp": "03/17/2022 08:13:48",
"content": "2d donut",
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"timestamp": "03/17/2022 08:13:53",
"content": "Okay yeah makes sense",
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"timestamp": "03/17/2022 08:13:59",
"content": "and we want that right",
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"timestamp": "03/17/2022 08:14:20",
"content": "So to calculate that we need to subtract the area of one circle from another",
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"timestamp": "03/17/2022 08:14:40",
"content": "We cannot just calculate the area of a circle whose radius is equal to the difference",
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"timestamp": "03/17/2022 08:15:39",
"content": "https://www.desmos.com/calculator/jv7nf3denj",
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"content": "vary the a slider",
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"timestamp": "03/17/2022 08:16:02",
"content": "that black line is R-r",
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"timestamp": "03/17/2022 08:16:16",
"content": "but pi(R-r)^2 isnt what we need",
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"timestamp": "03/17/2022 08:16:54",
"content": "Mhm?",
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"content": "Take this example",
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"content": "to calculate the green region area",
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"content": "You dont just do \npi(3 - 2)^2",
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"content": "that would be the area of a circle of radius 1",
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"timestamp": "03/17/2022 08:18:11",
"content": "but its not quite that",
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"timestamp": "03/17/2022 08:18:36",
"content": "you do\npi(3^2 - 2^2)",
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"content": "You subtract the area of one circle from another",
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"timestamp": "03/17/2022 08:19:44",
"content": "Ahh I forgot about pemdas",
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"timestamp": "03/17/2022 08:19:55",
"content": "I have been doing the exponent first anyways 💀",
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"timestamp": "03/17/2022 08:20:03",
"content": "uh",
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{
"id": 953991126501691400,
"author_id": 321445119171756000,
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"timestamp": "03/17/2022 08:20:08",
"content": "im not sure this is about pemdas...",
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"timestamp": "03/17/2022 08:20:26",
"content": "$(a+b)^2\\neq a^2+b^2$",
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"timestamp": "03/17/2022 08:21:03",
"content": ",, \\pi\\int^2_0R(y)^2-r(y)^2 ,\\dd y\\neq \\pi\\int^2_0(R(y)-r(y))^2 ,\\dd y",
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"timestamp": "03/17/2022 08:21:23",
"content": "so to recap, you want the left, not the right",
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"timestamp": "03/17/2022 08:21:27",
"content": "does that make sense?",
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"timestamp": "03/17/2022 08:21:36",
"content": "yes",
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"author_name": "chxn",
"timestamp": "03/17/2022 08:21:59",
"content": "I don’t know how to explain the thing I was doing but either way it was not correct",
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"id": 953991619777003500,
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:22:06",
"content": "But also, I think you didnt quite get `r(y)` right the first time round",
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"id": 953991655130804200,
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"timestamp": "03/17/2022 08:22:14",
"content": "yh",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:22:27",
"content": "Well i highly advise drawing a diagram for these Qs",
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"id": 953991743722905600,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:22:36",
"content": "and identify the axis of rotation",
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"id": 953991758776270800,
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"timestamp": "03/17/2022 08:22:39",
"content": "as well as youre slicing",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:22:45",
"content": "and that will cause less confusion",
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"id": 953991853164879900,
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"timestamp": "03/17/2022 08:23:02",
"content": "you need to visualize something like this on paper, basically",
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"author_name": "chxn",
"timestamp": "03/17/2022 08:23:11",
"content": "and yeah I don’t get how you got 4^2 - (4 - y^2)^2 still",
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"author_name": "chxn",
"timestamp": "03/17/2022 08:23:44",
"content": "I can do that but I don’t get how r = 4-y^2?",
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"timestamp": "03/17/2022 08:23:50",
"content": "right ok",
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"timestamp": "03/17/2022 08:24:00",
"content": "https://media.discordapp.net/attachments/903430332324405288/953988472522285066/Screenshot_20220317-120930.jpg",
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"timestamp": "03/17/2022 08:24:07",
"content": "Can you edit this picture",
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"id": 953992138671149200,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:24:10",
"content": "and mark on an R",
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{
"id": 953992146388656300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:24:12",
"content": "and an r",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:24:16",
"content": "for arbritrary y",
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"id": 953992396297863200,
"author_id": 264472398596669440,
"author_name": "chxn",
"timestamp": "03/17/2022 08:25:11",
"content": "Uhh i think ik what means but idk",
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},
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:25:32",
"content": "Say y = 1",
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"id": 953992508529070100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:25:38",
"content": "tell me where my r is",
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},
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"id": 953992531513847800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:25:43",
"content": "in terms of where it begins and ends",
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"id": 953992558428684300,
"author_id": 321445119171756000,
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"timestamp": "03/17/2022 08:25:50",
"content": "can you?",
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"author_name": "chxn",
"timestamp": "03/17/2022 08:26:33",
"content": "",
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"id": 953992771415457800,
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"timestamp": "03/17/2022 08:26:41",
"content": "no",
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"id": 953992791619403800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:26:45",
"content": "We talk about `r` and `R`, the radius,",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:26:53",
"content": "first you need to identify the centre",
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"timestamp": "03/17/2022 08:27:20",
"content": "'radius' doesn't make sense without realizing where the center must be",
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"id": 953993101553336300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:27:59",
"content": "And then if it is a radius, it should start from the center",
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"timestamp": "03/17/2022 08:28:28",
"content": "The center is the axis of x=4",
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"timestamp": "03/17/2022 08:28:34",
"content": "Which is why R = 4",
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"timestamp": "03/17/2022 08:28:37",
"content": "Right so if y = 1",
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"timestamp": "03/17/2022 08:28:44",
"content": "the center is (4, 1)",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:29:01",
"content": "So R refers to the radius going from (4,1) to (0,1)",
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"id": 953993380747157500,
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"timestamp": "03/17/2022 08:29:06",
"content": "What about r?",
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"id": 953993464511610900,
"author_id": 264472398596669440,
"author_name": "chxn",
"timestamp": "03/17/2022 08:29:26",
"content": "(4,1) to y^2",
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"id": 953993497432707100,
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"timestamp": "03/17/2022 08:29:34",
"content": "(1, 1)",
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},
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"id": 953993557214117900,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:29:48",
"content": "Does it make sense why this is r",
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},
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"id": 953993591519334500,
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"timestamp": "03/17/2022 08:29:56",
"content": "because we want to subtract the smaller disc",
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"id": 953993623240835100,
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"author_name": "chxn",
"timestamp": "03/17/2022 08:30:04",
"content": "Okay yeah",
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},
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"id": 953993679985578000,
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"author_name": "chxn",
"timestamp": "03/17/2022 08:30:17",
"content": "I think I understand it now",
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"timestamp": "03/17/2022 08:30:18",
"content": "Ok, and then try figuring out what `r(y)`",
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"timestamp": "03/17/2022 08:30:21",
"content": "is from this",
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"timestamp": "03/17/2022 08:30:27",
"content": "https://media.discordapp.net/attachments/903430332324405288/953990488816488478/Screenshot_20220317-121728.jpg",
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"author_id": 321445119171756000,
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"timestamp": "03/17/2022 08:30:32",
"content": "referring to this",
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"timestamp": "03/17/2022 08:30:36",
"content": "R = 3\nr = 2",
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"timestamp": "03/17/2022 08:30:45",
"content": "You dont want r = 1",
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"timestamp": "03/17/2022 08:31:42",
"content": "r = 0-2",
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"timestamp": "03/17/2022 08:32:00",
"content": "The black line marked here represents R-r",
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"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:32:16",
"content": "And you need to imagine rotating it around x = 4",
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"timestamp": "03/17/2022 08:32:33",
"content": "this creates an annulus like this",
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"id": 953994308338466800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 08:32:47",
"content": "And we get a different annulus for every single y between 0 and 2",
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"id": 953995027208618000,
"author_id": 321445119171756000,
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"timestamp": "03/17/2022 08:35:38",
"content": "The resulting solid we get is like",
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"timestamp": "03/17/2022 08:35:39",
"content": "https://c8.alamy.com/comp/2AWDA2N/practical-dental-metallurgya-text-and-reference-book-for-students-and-practitioners-of-dentistry-of-pumice-stone-when-this-hardened-the-hemisphere-was-sepa-rated-from-the-concavity-and-the-block-containing-thelatter-cut-down-until-it-covered-but-little-over-half-of-thehemisphere-when-it-was-reinserted-the-whole-wasthen-varnished-and-presented-a-very-compact-con-venient-soldering-block-fitted-in-a-socket-which-permitsit-to-be-poised-at-almost-any-angle-blocks-of-charcoal-may-also-be-covered-on-all-sidesbut-one-with-about-one-half-inch-thickness-of-plasterthey-then-furnishclean-a-2AWDA2N.jpg",
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"id": 953995053330731000,
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"timestamp": "03/17/2022 08:35:45",
"content": "Approximately (the rim should be sharp)",
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"id": 953995113581916200,
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"timestamp": "03/17/2022 08:35:59",
"content": "Flip this upside down, and we are slicing this up horizontally",
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"id": 953995614729945200,
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"author_name": "chxn",
"timestamp": "03/17/2022 08:37:58",
"content": "I think I got a much better understanding but I gotta go to my next class",
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"id": 953995657075634200,
"author_id": 264472398596669440,
"author_name": "chxn",
"timestamp": "03/17/2022 08:38:09",
"content": "I appreciate the help",
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},
{
"id": 953995886990622700,
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"author_name": "chxn",
"timestamp": "03/17/2022 08:39:03",
"content": ".close",
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{
"id": 953995888454406100,
"author_id": 805217272087838700,
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"timestamp": "03/17/2022 08:39:04",
"content": "Channel closed",
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}
] | help-10 | b1196c3d84e34f30b15b36352d104419 |
1,299 | [
{
"id": 953996143048671400,
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"timestamp": "03/17/2022 08:40:04",
"content": "Available help channel!",
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{
"id": 953996603474182100,
"author_id": 621954973013377000,
"author_name": "Kabel",
"timestamp": "03/17/2022 08:41:54",
"content": "I'm confused on how to convert 1506 (base 10) to base 11",
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},
{
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"timestamp": "03/17/2022 08:41:55",
"content": "Pinned a message.",
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"author_id": 621954973013377000,
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"timestamp": "03/17/2022 08:42:35",
"content": "I have been doing it like this for other base conversions",
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},
{
"id": 953996780226359300,
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"timestamp": "03/17/2022 08:42:36",
"content": "",
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"id": 953996842855706600,
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"timestamp": "03/17/2022 08:42:51",
"content": "This is base 3 to base 10",
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},
{
"id": 953996887575392300,
"author_id": 621954973013377000,
"author_name": "Kabel",
"timestamp": "03/17/2022 08:43:02",
"content": "Is there a similar way to do this for base 10 to 11",
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},
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"timestamp": "03/17/2022 08:58:02",
"content": "@Kabel Has your question been resolved?",
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"id": 954005056699642000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/17/2022 09:15:30",
"content": "if you know the powers of ten in base 11 and can do arithmetic in base 11 then yes",
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"timestamp": "03/17/2022 09:28:49",
"content": "@Kabel Has your question been resolved?",
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"timestamp": "03/17/2022 09:37:17",
"content": "",
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"author_id": 621954973013377000,
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"timestamp": "03/17/2022 09:37:29",
"content": "I'm more confused about the unknown variable",
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},
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"id": 954010722319360000,
"author_id": 621954973013377000,
"author_name": "Kabel",
"timestamp": "03/17/2022 09:38:00",
"content": "I know I have to create a new symbol for extra digits because base 11 has more digits than base 10",
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"id": 954010758482657300,
"author_id": 621954973013377000,
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"timestamp": "03/17/2022 09:38:09",
"content": "But I don't get how to implement that",
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"timestamp": "03/17/2022 09:55:48",
"content": "the unknown variable?",
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"author_name": "pistashios",
"timestamp": "03/17/2022 09:56:11",
"content": "also the first digit in base 10 should be 11^3",
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"timestamp": "03/17/2022 09:56:16",
"content": "the second is 11^2",
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"timestamp": "03/17/2022 09:56:51",
"content": "the units digit should always be 1's",
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"author_name": "pistashios",
"timestamp": "03/17/2022 09:57:14",
"content": "and the second digit from the right should be the base #^1",
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"timestamp": "03/17/2022 10:17:59",
"content": "This is in the question I am trying to answer\n```1506 to base 11 [hint: you will need to \"make up\" a new symbol for extra digits, since base 11 has more digits than base 10]```",
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"timestamp": "03/17/2022 10:18:08",
"content": "This is what I'm confused about",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:19:48",
"content": "oh hm",
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"timestamp": "03/17/2022 10:20:08",
"content": "i think you can ignore that kind of?",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:20:16",
"content": "so what they mean is theres 11 digits in base 11",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:20:19",
"content": "and 10 digits in base 10",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:20:29",
"content": "base 10 digits are 0, 1, 2, ..., 9",
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"timestamp": "03/17/2022 10:20:48",
"content": "base 11 is 0, 1, 2,.., 9, and then another symbol for another digit",
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"timestamp": "03/17/2022 10:21:26",
"content": "so you don't think it applies to this question?",
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"timestamp": "03/17/2022 10:22:27",
"content": "ummm",
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"timestamp": "03/17/2022 10:22:39",
"content": "yeah i think so",
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"timestamp": "03/17/2022 10:22:42",
"content": "every single calculator I've used online says the answer is this",
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"timestamp": "03/17/2022 10:22:43",
"content": "",
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"timestamp": "03/17/2022 10:22:48",
"content": "oh",
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"timestamp": "03/17/2022 10:22:48",
"content": "114a",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:22:48",
"content": "OHH",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:22:57",
"content": "ohhhh okok",
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"timestamp": "03/17/2022 10:23:03",
"content": "that makes sense",
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"timestamp": "03/17/2022 10:23:08",
"content": "so A is the 11th digit",
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"timestamp": "03/17/2022 10:23:10",
"content": "that they made up",
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"timestamp": "03/17/2022 10:23:46",
"content": "but why is it needed?",
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"timestamp": "03/17/2022 10:27:54",
"content": "so in base 10",
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"timestamp": "03/17/2022 10:28:13",
"content": "all the numbers can be written using the 10 digits",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:28:21",
"content": "but since base 11 has 11 digits",
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"timestamp": "03/17/2022 10:28:24",
"content": "you need to make up a new digit",
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"timestamp": "03/17/2022 10:28:34",
"content": "i take this back btw i wasnt thinking",
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"timestamp": "03/17/2022 10:35:36",
"content": "is it replacing a number?",
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"id": 954025267846856700,
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"author_name": "Kabel",
"timestamp": "03/17/2022 10:35:48",
"content": "or are we just simply writing it for the heck of it",
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"timestamp": "03/17/2022 10:35:58",
"content": "idk why this is so hard for me to wrap my head around",
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"timestamp": "03/17/2022 10:36:14",
"content": "so why don't we think about it in base 2",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:36:17",
"content": "so base 2 has 2 digits",
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"id": 954025391029379100,
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"timestamp": "03/17/2022 10:36:18",
"content": "0 and 1",
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"timestamp": "03/17/2022 10:36:24",
"content": "so a number could be 101010",
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"timestamp": "03/17/2022 10:36:33",
"content": "but if you want to convert that to base 2",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:36:38",
"content": "ok ykw lets use a smaller number",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:36:51",
"content": "convert 1000 in base 2 to base 3",
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"timestamp": "03/17/2022 10:36:57",
"content": "so thats",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:36:58",
"content": "uh",
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"id": 954025632537407500,
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"timestamp": "03/17/2022 10:37:15",
"content": "21",
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"timestamp": "03/17/2022 10:37:30",
"content": "thats 21 in base 3",
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"timestamp": "03/17/2022 10:37:32",
"content": "and the 2",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:37:37",
"content": "that wasn't in base 2",
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"timestamp": "03/17/2022 10:37:44",
"content": "is the same as the A that we added in base 11",
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"id": 954025784677400600,
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"timestamp": "03/17/2022 10:37:52",
"content": "im not sure if im making this more complicated",
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"author_name": "pistashios",
"timestamp": "03/17/2022 10:38:08",
"content": "but we're just creating a symbol that is 1 more than 10",
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"id": 954025878529130500,
"author_id": 546082107944861700,
"author_name": "pistashios",
"timestamp": "03/17/2022 10:38:14",
"content": "so that it could be 11 in base 11",
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"timestamp": "03/17/2022 10:38:24",
"content": "like A in base 11 would be 11 in base 10",
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"timestamp": "03/17/2022 10:38:38",
"content": "does that make sense?",
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"timestamp": "03/17/2022 10:39:14",
"content": "I think this makes sense to me",
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"timestamp": "03/17/2022 10:39:35",
"content": "👍",
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"timestamp": "03/17/2022 10:39:42",
"content": "so for base 12 for example",
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"timestamp": "03/17/2022 10:39:51",
"content": "we might create another symbol B that is 12 in base 10",
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"timestamp": "03/17/2022 10:40:12",
"content": "for higher bases we run out of symbols to write the numbers with, so we just make more",
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"timestamp": "03/17/2022 11:39:15",
"content": "@Kabel Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-10 | 22f125e8508f47f99fdaa5b8c0d35515 |
13 | [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/11/2022 15:03:42",
"content": "Available help channel!",
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},
{
"id": 930554233596575700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 15:10:18",
"content": "whats the span of the set of the union of the x and y axes? (im guessing the x-y plane but i wanne be sure)",
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{
"id": 930554235672756200,
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"timestamp": "01/11/2022 15:10:18",
"content": "Pinned a message.",
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{
"id": 930555606077702300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/11/2022 15:15:45",
"content": "what u said",
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},
{
"id": 930555743252394000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/11/2022 15:16:18",
"content": "no need to guess, you can figure it",
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},
{
"id": 930555936593023100,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "01/11/2022 15:17:04",
"content": "span {(1,0,0,0,...),(0,1,0,0,...)}={(x,y,0,0,0...) for x, y real}",
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},
{
"id": 930556242580111400,
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"author_name": "نعمان",
"timestamp": "01/11/2022 15:18:17",
"content": "hmmm okey",
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},
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"id": 930556331574849500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 15:18:38",
"content": "exams r making me doubt myself lol",
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"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 15:19:00",
"content": "What about the span of the x, y and z axes? it should be R^3 right?",
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{
"id": 930556587922301000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 15:19:39",
"content": "since a.(1,0,0)+b.(0,1,0)+c.(0,0,1) spans the entire R^3 space",
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"id": 930558291698921500,
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"timestamp": "01/11/2022 15:26:25",
"content": "yes",
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"id": 930560292218339500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 15:34:22",
"content": "thankq",
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"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "01/11/2022 15:34:26",
"content": ".close",
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] | help-10 | 5578f81fb4c84d598118eafb81c2d84f |
130 | [
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"id": 932945684678713500,
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"author_name": "Jonatan",
"timestamp": "01/18/2022 05:37:35",
"content": "I have 2/3 = 1/a + 1/3a + 1/(a-1) I’ve gotten that down to 7a^2-4a / (3a^3 - 3a^2) = 2/3 but idk if I’m on the right track",
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"author_id": 526808110443266050,
"author_name": "Dev Shah",
"timestamp": "01/18/2022 05:40:49",
"content": "just cross multiply",
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"id": 932947679678431200,
"author_id": 526808110443266050,
"author_name": "Dev Shah",
"timestamp": "01/18/2022 05:41:00",
"content": "one a will cancel out",
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"id": 932947787325243400,
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"author_name": "Dev Shah",
"timestamp": "01/18/2022 05:41:25",
"content": "(check if a=0 satisfies the original question before canceling out)",
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"id": 932947830727913500,
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"timestamp": "01/18/2022 05:41:36",
"content": "then just solve the quadratic",
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"id": 932947959979589600,
"author_id": 449241957810569200,
"author_name": "Jonatan",
"timestamp": "01/18/2022 05:42:06",
"content": "No",
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"id": 932947970918318100,
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"author_name": "Dev Shah",
"timestamp": "01/18/2022 05:42:09",
"content": "you made things a little harder than they needed to be in taking the LCM, but seems to be right otherwise",
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"timestamp": "01/18/2022 05:42:15",
"content": "A needs to be a positive integer",
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"timestamp": "01/18/2022 05:42:31",
"content": "alright then just cancel the a out",
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"timestamp": "01/18/2022 05:45:59",
"content": "Didn’t I cross multiply though?",
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"id": 932951078973087700,
"author_id": 449241957810569200,
"author_name": "Jonatan",
"timestamp": "01/18/2022 05:54:30",
"content": "!close",
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},
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"id": 932951106491916300,
"author_id": 449241957810569200,
"author_name": "Jonatan",
"timestamp": "01/18/2022 05:54:37",
"content": "Close",
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},
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"id": 932951120458969100,
"author_id": 449241957810569200,
"author_name": "Jonatan",
"timestamp": "01/18/2022 05:54:40",
"content": "/close",
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"id": 932951158690021400,
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"content": ".close",
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"timestamp": "01/18/2022 05:54:50",
"content": "Channel closed",
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}
] | help-10 | 35933800f1ff488da232c876c8f5f0e9 |
1,300 | [
{
"id": 954072218235728000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 13:42:22",
"content": "Available help channel!",
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"id": 954073229440450600,
"author_id": 620181036936069100,
"author_name": "phantom",
"timestamp": "03/17/2022 13:46:23",
"content": "What is the formula to solve for intersection of events?",
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"id": 954073231470501900,
"author_id": 805217272087838700,
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"timestamp": "03/17/2022 13:46:24",
"content": "Pinned a message.",
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"id": 954073639781818400,
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"author_name": "phantom",
"timestamp": "03/17/2022 13:48:01",
"content": "So i have P(A), P(B), P(AUB) as given",
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"author_name": "phantom",
"timestamp": "03/17/2022 13:48:49",
"content": "I tried to do P(A)•P(B) and got 0.195",
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"author_name": "phantom",
"timestamp": "03/17/2022 13:49:01",
"content": "Im just not sure if its correct",
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"timestamp": "03/17/2022 13:50:19",
"content": "Well, no",
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"timestamp": "03/17/2022 13:50:47",
"content": "The events are dependent, since P(A) + P(B) doesn't equal P(A or B)",
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"timestamp": "03/17/2022 13:52:27",
"content": "Note that:",
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"timestamp": "03/17/2022 13:52:39",
"content": "P(A or B) = P(A) + P(B) - P(A and B)",
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"timestamp": "03/17/2022 13:52:48",
"content": "Try plugging in the values",
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"id": 954075398461870100,
"author_id": 620181036936069100,
"author_name": "phantom",
"timestamp": "03/17/2022 13:55:00",
"content": "Wait so if P(A)+P(A) doesnt equal P(A or B) its dependet?",
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"id": 954075448969670800,
"author_id": 620181036936069100,
"author_name": "phantom",
"timestamp": "03/17/2022 13:55:12",
"content": "If its equal then its independent?",
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"id": 954075621565296600,
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"author_name": "RedstonePlayz09",
"timestamp": "03/17/2022 13:55:54",
"content": "I meant P(A) + P(B)",
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"id": 954075624253837300,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "03/17/2022 13:55:54",
"content": "My bad",
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{
"id": 954075643191111700,
"author_id": 620181036936069100,
"author_name": "phantom",
"timestamp": "03/17/2022 13:55:59",
"content": "Oh",
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{
"id": 954077279259082900,
"author_id": 620181036936069100,
"author_name": "phantom",
"timestamp": "03/17/2022 14:02:29",
"content": "So 0.55+0.35-0.15\n=0.75",
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"id": 954077342001684500,
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"timestamp": "03/17/2022 14:02:44",
"content": "P(AUB)= 0.75",
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"id": 954077355914190800,
"author_id": 620181036936069100,
"author_name": "phantom",
"timestamp": "03/17/2022 14:02:47",
"content": "Correct?",
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"id": 954077386025103500,
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"timestamp": "03/17/2022 14:02:54",
"content": "Thats for number 2",
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"timestamp": "03/17/2022 14:17:55",
"content": "@phantom Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 175b0d96410247b48e62c532d7d481e1 |
1,301 | [
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"content": "Available help channel!",
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"id": 954087197533945900,
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"timestamp": "03/17/2022 14:41:53",
"content": "Pinned a message.",
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] | help-10 | 2cd1ddf36596462e8101b396ed471cd5 |
1,302 | [
{
"id": 907767522638577800,
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"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 18:04:02",
"content": "Available help channel!",
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},
{
"id": 907767694575669200,
"author_id": 691474609161371600,
"author_name": "LaFlare",
"timestamp": "11/09/2021 18:04:43",
"content": "will a graph will contain an Euler path only if all edges have even degree.",
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"content": "@LaFlare Has your question been resolved?",
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"timestamp": "11/09/2021 18:56:29",
"content": "@LaFlare Has your question been resolved?",
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] | help-10 | d345dc3a9b534816b596330e56063938 |
1,303 | [
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"content": "Available help channel!",
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"id": 954093826799181800,
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"content": "Pinned a message.",
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"timestamp": "03/17/2022 15:08:37",
"content": "Can anyone show me the step on how to find the answer? Thanks",
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"id": 954094046895288300,
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"content": "Question 5 and 6",
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"author_name": "Shallow.",
"timestamp": "03/17/2022 15:13:35",
"content": "hint: $x^{-a} = \\frac {1} {x^{a}}$",
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"content": "Question num 5?",
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"timestamp": "03/17/2022 15:15:03",
"content": "Ya",
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"timestamp": "03/17/2022 15:15:13",
"content": "@Shallow. Maybe write down what x^(-a) equals",
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"timestamp": "03/17/2022 15:15:29",
"content": "$hint: x^{-a} = \\frac{1}{x^{a}}$",
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"id": 954095676910895200,
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"timestamp": "03/17/2022 15:15:35",
"content": "Hmm well that will be good idea",
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"id": 954095678760550400,
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"timestamp": "03/17/2022 15:15:36",
"content": "like this",
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"id": 954095773396660200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/17/2022 15:15:58",
"content": "**RedstonePlayz09**",
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"timestamp": "03/17/2022 15:16:00",
"content": "**Deep**",
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"timestamp": "03/17/2022 15:16:05",
"content": "Ya",
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"id": 954095806451974100,
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"timestamp": "03/17/2022 15:16:06",
"content": "Yeah",
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"timestamp": "03/17/2022 15:16:08",
"content": "ok gl",
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"author_name": "am123450",
"timestamp": "03/17/2022 15:16:34",
"content": "But how does that apply on question number 5?",
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"timestamp": "03/17/2022 15:16:56",
"content": "I know that number 6 uses that",
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"author_name": "Erzis",
"timestamp": "03/17/2022 15:26:57",
"content": "the denominator is incorrect",
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"timestamp": "03/17/2022 15:27:22",
"content": "after you correct it cancel out and you should get a simplified form",
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"timestamp": "03/17/2022 15:32:22",
"content": "@am123450 Has your question been resolved?",
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"timestamp": "03/17/2022 15:47:23",
"content": "Channel closed",
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] | help-10 | 136193c9c109430298dc2cf220d3a88d |
1,304 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 17:47:17",
"content": "Available help channel!",
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},
{
"id": 954134750510071900,
"author_id": 926918502441427000,
"author_name": "M1111111",
"timestamp": "03/17/2022 17:50:51",
"content": "inverse fourier transform of 1",
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},
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"author_id": 805217272087838700,
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"timestamp": "03/17/2022 17:50:51",
"content": "Pinned a message.",
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"id": 954134797993787500,
"author_id": 926918502441427000,
"author_name": "M1111111",
"timestamp": "03/17/2022 17:51:02",
"content": "Can someone help me on how to solve the inverse fourier transform of 1?",
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"timestamp": "03/17/2022 18:06:02",
"content": "@M1111111 Has your question been resolved?",
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"timestamp": "03/17/2022 18:21:03",
"content": "Channel closed",
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] | help-10 | 7e2356d1c0494701a67fc2365131dd24 |
1,305 | [
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"content": "Available help channel!",
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"timestamp": "03/17/2022 18:28:55",
"content": "@Helpers",
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"content": "Channel closed",
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] | help-10 | 5d7a0980fffa475e9ac3302617e5411d |
1,306 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 18:38:15",
"content": "Available help channel!",
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"id": 954147728068341900,
"author_id": 814486194775523300,
"author_name": "melon lord",
"timestamp": "03/17/2022 18:42:25",
"content": "I ended up applying logs to get \nlog(y) = log(A) +xlog(k)\nwhich the the equation of the line of the form y=mx+c\n\nand from the graph I plotted\nI found the y intercept to be 20 \n\nBut how do I find the values of A and K ? \nevery value of A and K I find, seem to be incorrect so far",
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"content": "Pinned a message.",
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"author_id": 653715253925773300,
"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 18:47:45",
"content": "@melon lord One strategy would be to:",
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"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 18:48:05",
"content": "Calculate K first, then calculate A.",
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"author_id": 653715253925773300,
"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 18:48:24",
"content": "Do you have any suggestion on how to do that?",
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"id": 954149581682249700,
"author_id": 814486194775523300,
"author_name": "melon lord",
"timestamp": "03/17/2022 18:49:47",
"content": "I know that log(A) is the y intercept \nand the estimated y intercept is 20 \nso is it that A would be e^20?\n\nor would A itself be 20?",
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"author_name": "melon lord",
"timestamp": "03/17/2022 18:50:15",
"content": "like I said\nI have attempted it multiple times\nand every value of A and K i get seem to be off",
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"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 18:52:10",
"content": "You are analysing this:\nlog(y) = log(A) +xlog(k)\nOr this:\ny=Ak^x",
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"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 18:53:17",
"content": "It depends on what you are doing... could you show your calculations (or explain how you calculated A)?",
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"author_name": "melon lord",
"timestamp": "03/17/2022 18:57:02",
"content": "part one of the question stated to to express y=Ak^x in a form suitable for drawing a straight line graph \nso I applied logs and got log(y) = log(A) +xlog(k)\nwhich is of the form y=mx+c (the equation of a straight line)\nand I plotted the graph",
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"timestamp": "03/17/2022 18:57:13",
"content": "",
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"author_name": "melon lord",
"timestamp": "03/17/2022 18:57:33",
"content": "but I honestly don't know how to estimate the values of A and k",
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"id": 954151659418820600,
"author_id": 653715253925773300,
"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 18:58:02",
"content": "How did you calculate the intercept? The 20 you mentioned before",
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"id": 954151847642403000,
"author_id": 814486194775523300,
"author_name": "melon lord",
"timestamp": "03/17/2022 18:58:47",
"content": "the question said to estimate the intercept from the graph",
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"id": 954151930001756300,
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"author_name": "melon lord",
"timestamp": "03/17/2022 18:59:07",
"content": "I estimated that the y intercept would be around 20",
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"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 19:02:09",
"content": "Try ploting the log(y) chart? How does that looks?",
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"author_name": "melon lord",
"timestamp": "03/17/2022 19:04:29",
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"author_name": "keepitalphanumeric",
"timestamp": "03/17/2022 19:05:03",
"content": "That looks better, right?",
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"author_id": 814486194775523300,
"author_name": "melon lord",
"timestamp": "03/17/2022 19:05:16",
"content": "yes, yes it does",
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"timestamp": "03/17/2022 19:06:20",
"content": "Based on this, you can estimate the intercept and m. Those will produce something like log(y) = A + x * m ... That m is the log(k). You can go back to the original equation from that.",
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"id": 954153931989196800,
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"author_name": "melon lord",
"timestamp": "03/17/2022 19:07:04",
"content": "thank you so much",
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"id": 954153949651415000,
"author_id": 814486194775523300,
"author_name": "melon lord",
"timestamp": "03/17/2022 19:07:08",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 19:07:09",
"content": "Channel closed",
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}
] | help-10 | ebc08a23d0c14e339ea3058edab6a0f8 |
1,307 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 19:08:09",
"content": "Available help channel!",
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},
{
"id": 954154617921486800,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:09:48",
"content": "Hi, does this calcul is possible ? ((-4 - (-4)) / 4) - (-4) = 4",
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{
"id": 954154619968323700,
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 19:09:48",
"content": "Pinned a message.",
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"id": 954154867864268800,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 19:10:47",
"content": ",calc ((-4 - (-4)) / 4) - (-4)",
"attachments": [],
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},
{
"id": 954154869592326100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/17/2022 19:10:48",
"content": "Result:\n```\n4\n```",
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"id": 954154932934684700,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/17/2022 19:11:03",
"content": "https://www.mathsisfun.com/operation-order-bodmas.html",
"attachments": [],
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},
{
"id": 954154976911982600,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:11:13",
"content": "yes but are we allowed to divibe 0 by 4 ?",
"attachments": [],
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},
{
"id": 954154985631936600,
"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 19:11:15",
"content": "((-4 - (-4)) / 4) - (-4) = 4\n((-4 + 4)) / 4) - (-4) = 4\n(0 / 4) - (-4) = 4\n0 - (-4) = 4\n0 + 4 = 4\n4=4",
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{
"id": 954155049217585300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "03/17/2022 19:11:31",
"content": "you can divide 0 by 4",
"attachments": [],
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},
{
"id": 954155066716213200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "03/17/2022 19:11:35",
"content": "you just can't divde by 0",
"attachments": [],
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},
{
"id": 954155117672800400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "03/17/2022 19:11:47",
"content": "so 0/4 is perfectly fine but 4/0 is not",
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},
{
"id": 954155189944852500,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:12:04",
"content": "So this calcul is ok ?",
"attachments": [],
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},
{
"id": 954155236862332900,
"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 19:12:15",
"content": "Yes its fine",
"attachments": [],
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{
"id": 954155252301578200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "03/17/2022 19:12:19",
"content": "just think of it like \"i can distribute nothing to 4 people, but i can't distribute 4 things to nothing\"",
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},
{
"id": 954155418303742000,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:12:59",
"content": "tysm guys",
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{
"id": 954155446749515800,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:13:05",
"content": "Have a good night",
"attachments": [],
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},
{
"id": 954155498427539600,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:13:18",
"content": "with cold pillow",
"attachments": [],
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},
{
"id": 954155635455426600,
"author_id": 320262787177644000,
"author_name": "SandroLeCroco",
"timestamp": "03/17/2022 19:13:50",
"content": ".close",
"attachments": [],
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},
{
"id": 954155637321891800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 19:13:51",
"content": "Channel closed",
"attachments": [],
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}
] | help-10 | 586ee8f1cc054db0962f27d67dbefdb5 |
1,308 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 19:19:50",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 954164735476109300,
"author_id": 800643616828555300,
"author_name": "vi",
"timestamp": "03/17/2022 19:50:00",
"content": "Can I ask for help on probability?",
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"id": 954164737384538100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 19:50:00",
"content": "Pinned a message.",
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"id": 954166275238686800,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "03/17/2022 19:56:07",
"content": "do you have any thoughts on these questions? which ones are you having trouble with?",
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{
"id": 954166566235291600,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 19:57:16",
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"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 19:57:22",
"content": "This illustration might help you",
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},
{
"id": 954168541211422700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/17/2022 20:05:07",
"content": "@vi Has your question been resolved?",
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] | help-10 | 49e6e077a2a543318c9a2b6a5723c820 |
1,309 | [
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"id": 954175109978005500,
"author_id": 122121221876875260,
"author_name": "ChrisJ",
"timestamp": "03/17/2022 20:31:13",
"content": "For a certain company, the cost for producing x items is 50x+300 and the revenue for selling x items is 90x−0.5x2.",
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"content": "Pinned a message.",
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"timestamp": "03/17/2022 20:31:23",
"content": "My problem is with equation setup",
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"id": 954176171313090600,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/17/2022 20:35:26",
"content": "Well whats the question?",
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"id": 954176216204705900,
"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/17/2022 20:35:37",
"content": "Thats only the information of the problem",
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"id": 954176275147284500,
"author_id": 122121221876875260,
"author_name": "ChrisJ",
"timestamp": "03/17/2022 20:35:51",
"content": "Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces.",
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"timestamp": "03/17/2022 20:35:58",
"content": "Part b: Find two values of x that will create a profit of $50.",
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"content": "Profit is how much you earned - how much you lost",
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"author_id": 122121221876875260,
"author_name": "ChrisJ",
"timestamp": "03/17/2022 20:38:05",
"content": "so The problem would be (50x + 300) - (90x-0.5x2) then",
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"timestamp": "03/17/2022 20:38:43",
"content": "What is 50x + 300?",
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"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 20:38:51",
"content": "The cost of production or the revenue?",
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"author_id": 426443702932733950,
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"content": "Production i think",
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"author_name": "Bello友",
"timestamp": "03/17/2022 20:39:13",
"content": "Exactly",
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"author_name": "Bello友",
"timestamp": "03/17/2022 20:39:17",
"content": "I was asking to him",
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"id": 954177145767342100,
"author_id": 122121221876875260,
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"timestamp": "03/17/2022 20:39:19",
"content": "so switch them around",
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"content": "Yes",
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"content": "0.5x2",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/17/2022 20:39:53",
"content": "Is x variable or?",
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"id": 954177374977687600,
"author_id": 122121221876875260,
"author_name": "ChrisJ",
"timestamp": "03/17/2022 20:40:13",
"content": "exponent",
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"id": 954177385035612200,
"author_id": 122121221876875260,
"author_name": "ChrisJ",
"timestamp": "03/17/2022 20:40:16",
"content": "my bad",
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"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 20:40:50",
"content": "So is the part b more clear now as well?",
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"id": 954177619090366500,
"author_id": 122121221876875260,
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"timestamp": "03/17/2022 20:41:12",
"content": "yes",
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"timestamp": "03/17/2022 20:41:20",
"content": "Great",
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"timestamp": "03/17/2022 20:56:12",
"content": "@ChrisJ Has your question been resolved?",
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"timestamp": "03/17/2022 21:11:12",
"content": "Channel closed",
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] | help-10 | 5f60d5634cb3409f8415af502f0991e6 |
131 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2022 06:52:43",
"content": "Available help channel!",
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"id": 932983106795864000,
"author_id": 905851919069773800,
"author_name": "SeaNa",
"timestamp": "01/18/2022 08:01:46",
"content": "HELP. I'm stuck at item #2. Idk how to start it",
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"author_id": 812894823165591600,
"author_name": "THEaayusher",
"timestamp": "01/18/2022 08:06:11",
"content": "i am not full sure on how i would do it either, but if you are allowed I would suggest graphing this and studying it through there",
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"timestamp": "01/18/2022 08:06:19",
"content": "slope of line = tan θ",
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"timestamp": "01/18/2022 08:06:26",
"content": "where θ is angle is inclination/depression (θ < 90°)",
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"timestamp": "01/18/2022 08:06:42",
"content": "use this a few times",
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"id": 932986352474161200,
"author_id": 905851919069773800,
"author_name": "SeaNa",
"timestamp": "01/18/2022 08:14:40",
"content": "Is there a clearer explanation? I don't get it",
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"timestamp": "01/18/2022 08:29:40",
"content": "@SeaNa Has your question been resolved?",
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"id": 932991452164816900,
"author_id": 701895792763600900,
"author_name": "s_chanch",
"timestamp": "01/18/2022 08:34:56",
"content": "do you know the relation between slope and angle of inclination/depression of line?",
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{
"id": 932992808829190300,
"author_id": 905851919069773800,
"author_name": "SeaNa",
"timestamp": "01/18/2022 08:40:19",
"content": "m = tan Theta???",
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"id": 932993617910444000,
"author_id": 905851919069773800,
"author_name": "SeaNa",
"timestamp": "01/18/2022 08:43:32",
"content": "$$tan theta=- 6/7$$",
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{
"id": 932993627054047200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/18/2022 08:43:34",
"content": "**Nadz**",
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"id": 932994021436031000,
"author_id": 905851919069773800,
"author_name": "SeaNa",
"timestamp": "01/18/2022 08:45:08",
"content": "Idkkk",
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},
{
"id": 932994439859826800,
"author_id": 526808110443266050,
"author_name": "Dev Shah",
"timestamp": "01/18/2022 08:46:48",
"content": "https://www.cuemath.com/geometry/angle-between-two-lines/",
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{
"id": 932995612104880300,
"author_id": 905851919069773800,
"author_name": "SeaNa",
"timestamp": "01/18/2022 08:51:28",
"content": "This is what I've got: \n$$m2=(168+85√3)/59$$",
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"id": 932995741356556400,
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"timestamp": "01/18/2022 08:51:58",
"content": "**Nadz**",
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"id": 932996174628135000,
"author_id": 526808110443266050,
"author_name": "Dev Shah",
"timestamp": "01/18/2022 08:53:42",
"content": "I don't have a pen and paper with me rn to solve, but that looks way too complicated for this",
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"timestamp": "01/18/2022 08:58:40",
"content": "I think so too",
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"id": 933001615470919700,
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"timestamp": "01/18/2022 09:15:19",
"content": ".close",
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"timestamp": "01/18/2022 09:15:19",
"content": "Channel closed",
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}
] | help-10 | e8a0ecd9c72d464680a2a9e36ad5f299 |
1,310 | [
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"content": "Available help channel!",
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"author_id": 715294173091332200,
"author_name": "Kashy",
"timestamp": "03/17/2022 21:37:25",
"content": "What number corresponds to 3489 in the second column?",
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"id": 954191957209542700,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 21:38:10",
"content": "is this like a riddle or what",
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"id": 954191975471521800,
"author_id": 715294173091332200,
"author_name": "Kashy",
"timestamp": "03/17/2022 21:38:14",
"content": "I just can't find the relationship Q-Q",
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"id": 954192085110628400,
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"timestamp": "03/17/2022 21:38:41",
"content": "A mathematic problem based in logic ¿)",
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"author_name": "Kashy",
"timestamp": "03/17/2022 21:38:51",
"content": "idk i see this in a random page",
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"id": 954192282297454600,
"author_id": 327794296877219840,
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"timestamp": "03/17/2022 21:39:28",
"content": "4",
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"id": 954192382440644600,
"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 21:39:52",
"content": "Just count sum the number of holes of each digit",
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"id": 954192427508437100,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 21:40:02",
"content": "ohhhhhh",
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"id": 954192479433932800,
"author_id": 742674439623409700,
"author_name": "wwywinym",
"timestamp": "03/17/2022 21:40:15",
"content": ":bleakkekw: :bleakkekw: :bleakkekw:",
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"id": 954192490561417200,
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"timestamp": "03/17/2022 21:40:17",
"content": "KEWL",
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"timestamp": "03/17/2022 21:40:18",
"content": "I think this too but idk how explain it xd",
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"author_name": "Kashy",
"timestamp": "03/17/2022 21:40:21",
"content": "thx bro",
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"id": 954192528385658900,
"author_id": 715294173091332200,
"author_name": "Kashy",
"timestamp": "03/17/2022 21:40:26",
"content": "you're genius",
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"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 21:40:33",
"content": "Meh",
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"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 21:40:38",
"content": "Its not math related at all",
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"id": 954192610807918600,
"author_id": 327794296877219840,
"author_name": "Bello友",
"timestamp": "03/17/2022 21:40:46",
"content": "I knew cuz i alr saw some similar examples",
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"timestamp": "03/17/2022 21:41:14",
"content": ".close",
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"timestamp": "03/17/2022 21:41:14",
"content": "Channel closed",
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}
] | help-10 | fab67618f38e43048e30df44c351a4be |
1,311 | [
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"timestamp": "03/17/2022 21:56:02",
"content": "To solve this, I said that there are $\\frac{30 \\times 29 \\times 28 \\times 40 \\times 39 \\times 38 \\times 37}{7!}$ ways they can form a comittee",
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"content": "**azeem321**",
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"content": "I divided by 7! because the 7 people can arranged in that many different ways. so to account for that i divided by 7!",
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"content": "this is wrong however",
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"author_name": "hiro",
"timestamp": "03/17/2022 21:58:08",
"content": "Yeah, it's counting it wrong.\nThink about, in how many ways can you choose 3 men out of 30 and 4 women out of 40.",
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"content": "That would be $\\frac{30 \\times 29 \\times 28}{3!}$ and $\\frac{40 \\times 39 \\times 38 \\times 37}{4!}$",
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"content": "**azeem321**",
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"content": "Thats right",
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"content": "Now multiply them together and you've solved it",
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"content": "ok, thx. but why was my initial approach wrong? It seems i got the numerator correct, but divide by the wrong thing. don't we have to divide by 7! to get rid of all the overcounts that arise from the permutations?",
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"timestamp": "03/17/2022 22:02:11",
"content": "since 7 people can be arranged in 7! different ways",
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"timestamp": "03/17/2022 22:04:02",
"content": "I'm sorry I dont know how to answer that",
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"content": "You didn't overcount. Those seven in total people are chosen from two different groups.",
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"timestamp": "03/17/2022 22:04:56",
"content": "So we counted how many ways we can get the desired number of men and women out of those two groups",
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"content": "The final multiplication here means that selection from both groups happen simultaneously, which in total gives 7 people",
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"timestamp": "03/17/2022 22:06:14",
"content": "oki, thanks peeps",
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"timestamp": "03/17/2022 22:06:15",
"content": ".close",
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] | help-10 | e1662fb3f1934569b96a02fd16885440 |
1,312 | [
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"timestamp": "03/17/2022 22:07:15",
"content": "Available help channel!",
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"id": 954200437563752600,
"author_id": 677350243293069300,
"author_name": "aab",
"timestamp": "03/17/2022 22:11:52",
"content": "what's missing? how do i make only the bounded region shaded",
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"author_name": "a disappointing son",
"timestamp": "03/17/2022 22:16:14",
"content": "that might be more of a google question",
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"content": "bounded by what?",
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"content": "by f(y), g(y) and x=-1",
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"content": "@aab Has your question been resolved?",
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"timestamp": "03/17/2022 23:15:16",
"content": "assumming you want nly the overlap of the gray and red area to be shaded?",
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"content": "@aab Has your question been resolved?",
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] | help-10 | 0be1e1731c5648c0a7c747bde1cb9af5 |
1,313 | [
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"author_name": "Cog",
"timestamp": "11/09/2021 20:53:32",
"content": "just not sure how to integrate a and b into the answer/what the question is looking for. I know that numerically the maximum value is infinitely close to 1",
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"content": "@Cog Has your question been resolved?",
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"timestamp": "11/09/2021 21:09:13",
"content": "oh well, sleepy time",
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"content": ".close",
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] | help-10 | 496ed6cb735e41028eebbcdeb165f7d1 |
1,314 | [
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"id": 954232732827926500,
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"author_name": "anh !",
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"content": "anyone good at cal 2?",
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"author_name": "dldh06",
"timestamp": "03/18/2022 00:25:21",
"content": "Don't ask if anyone is good at a topic. Just post the question you are stuck on, and what you attempted and someone who can help will come by",
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"content": "@anh ! Has your question been resolved?",
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] | help-10 | fab7a676325845a096fa42e2331b0329 |
1,315 | [
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"content": "Doing old exams and this refers to numerical methods which is a course i did way back and dont remember anything of.. Any help?",
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"content": "@Tusk Has your question been resolved?",
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] | help-10 | bdb946a433c84522a577c809320e3b26 |
1,316 | [
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"timestamp": "03/18/2022 07:21:42",
"content": "it means: $\\sqrt{\\dots}$ is never negative. So for all x the term $\\sqrt{2x-1}$ is always nonnegative. But then it is never -5. So there is no solution (and the whole calculation wouldn't be necessary)",
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"content": "**Alexander42**",
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"timestamp": "03/18/2022 07:22:56",
"content": "Thanks.",
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"content": ".close",
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] | help-10 | 292f13cdaa1641049386c847a772a72d |
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] | help-10 | 4a04664ac929496898dcb3ff2ce4eccc |
1,318 | [
{
"id": 954387647147700200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/18/2022 10:35:46",
"content": "Available help channel!",
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},
{
"id": 954390893832589300,
"author_id": 250708380644016130,
"author_name": "joey",
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"content": "Can someone help me with 17",
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"timestamp": "03/18/2022 10:48:41",
"content": "Pinned a message.",
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"id": 954390923599577100,
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"timestamp": "03/18/2022 10:48:47",
"content": "I also don’t know what to do",
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"id": 954390940762644600,
"author_id": 250708380644016130,
"author_name": "joey",
"timestamp": "03/18/2022 10:48:52",
"content": "I understand the lessons",
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"id": 954390984043675600,
"author_id": 250708380644016130,
"author_name": "joey",
"timestamp": "03/18/2022 10:49:02",
"content": "But some of the problems I just can’t do",
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"id": 954391316593258500,
"author_id": 250708380644016130,
"author_name": "joey",
"timestamp": "03/18/2022 10:50:21",
"content": "I’m thinking maybe translating the question into propositional logic?",
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"id": 954391434830676000,
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"timestamp": "03/18/2022 10:50:49",
"content": "But how would something equal the universal set",
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"timestamp": "03/18/2022 11:05:50",
"content": "@joey Has your question been resolved?",
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] | help-10 | 5318ec0a866942d695dffc93f2f97a78 |
1,319 | [
{
"id": 954405169037201500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/18/2022 11:45:24",
"content": "Available help channel!",
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"id": 954406322172989400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:49:59",
"content": "A cube of metal weighs 6 kg. How much does a cube weigh (the same metal) where the sides are twice as long as the original cube?",
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"id": 954406323896852500,
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:50:59",
"content": "I know that the volume of a cube is = the sides³",
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"timestamp": "03/18/2022 11:51:12",
"content": "Ok",
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"id": 954406674192543700,
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"author_name": "EndTimes",
"timestamp": "03/18/2022 11:51:23",
"content": "Lets say that the original cube of metal has side length 1",
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"timestamp": "03/18/2022 11:51:31",
"content": "Yeah",
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"id": 954406783315755000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/18/2022 11:51:49",
"content": "Then that means its volume would also be 1",
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{
"id": 954406857265529000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:52:06",
"content": "Yeah",
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"id": 954406887703609300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/18/2022 11:52:14",
"content": "So its density is 6kg/m^3",
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"id": 954407042137878700,
"author_id": 933153827648045200,
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"timestamp": "03/18/2022 11:52:50",
"content": "Ok",
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"timestamp": "03/18/2022 11:52:53",
"content": "Now find the volume of a cube with side length 2",
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"id": 954407116679041000,
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"timestamp": "03/18/2022 11:53:08",
"content": "basically x^3 = 6\n(2x)^3 = ?",
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"author_name": "AuHasard",
"timestamp": "03/18/2022 11:53:20",
"content": "Where x is the side length?",
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"id": 954407195586461700,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/18/2022 11:53:27",
"content": "yes",
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"timestamp": "03/18/2022 11:53:34",
"content": "length of each side of the cube",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:53:50",
"content": "But is the volume formula the same as the mass?",
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"author_name": "AuHasard",
"timestamp": "03/18/2022 11:54:00",
"content": "Isn't it p=m/V => m =p*V?",
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"timestamp": "03/18/2022 11:54:15",
"content": "no",
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"timestamp": "03/18/2022 11:54:24",
"content": "i mean not really",
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"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:54:30",
"content": "Volume isn't mass, so no",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:55:03",
"content": "So what do we know about the mass from knowing the formula of the volume?",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/18/2022 11:55:14",
"content": "Density.",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:55:22",
"content": "You know it's density",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:55:34",
"content": "What is the density?",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:55:40",
"content": "Read",
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"id": 954407807275389000,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:55:53",
"content": "You were told it explicitly already",
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"timestamp": "03/18/2022 11:56:00",
"content": "since same metal so density is same\ndensity of old cube = density of new cube\nm/V = m/V\n6/x^3 = m/(2x)^3",
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"id": 954407878226247800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:56:10",
"content": "So the volume is x^3",
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"id": 954407908706242600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:56:17",
"content": "p = 6/x^3",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:56:23",
"content": "Two unknowns",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:56:27",
"content": "No",
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"id": 954407999554871300,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:56:39",
"content": "The density is known",
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"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:56:43",
"content": "It's 6/x^3",
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"timestamp": "03/18/2022 11:56:51",
"content": "Yeah I called it p",
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"timestamp": "03/18/2022 11:56:57",
"content": "Rho but yes",
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"author_name": "EndTimes",
"timestamp": "03/18/2022 11:56:59",
"content": "To be fair it's not. We have to make the assumption that this is a unit cube.",
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"timestamp": "03/18/2022 11:57:11",
"content": "It is known.",
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"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:57:37",
"content": "We just don't know the explicit volume",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:57:45",
"content": "And we don't need to know it",
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"id": 954408494344327200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:58:37",
"content": "So the density is doubled?",
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"id": 954408514007236700,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:58:41",
"content": "No??",
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"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "03/18/2022 11:58:45",
"content": "no",
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"timestamp": "03/18/2022 11:58:54",
"content": "since same metal so density is same\ndensity of old cube = density of new cube",
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"id": 954408609377308800,
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"timestamp": "03/18/2022 11:59:04",
"content": "hence\nold mass/old Volume = new mass/new Volume\n6/x^3 = m/(2x)^3",
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"author_name": "AuHasard",
"timestamp": "03/18/2022 11:59:06",
"content": "Okay",
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"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:59:25",
"content": "Could be written better",
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"id": 954408702373400600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:59:26",
"content": "So the side length = x, and it's doubled so 2x",
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"id": 954408720757055500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:59:31",
"content": "Yes.",
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"id": 954408761206923400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:59:40",
"content": "And this is for three sides, so the new volume is 8x^3",
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{
"id": 954408775559831600,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 11:59:44",
"content": "Yes",
"attachments": [],
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},
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"id": 954408802730524700,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:59:50",
"content": "Hmm…",
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{
"id": 954408823072886900,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:59:55",
"content": "x^3 was 6",
"attachments": [],
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},
{
"id": 954408834313642000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 11:59:58",
"content": "So 8*6",
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},
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"id": 954408945970212900,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 12:00:24",
"content": "Yes",
"attachments": [],
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"id": 954409010851897500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/18/2022 12:00:40",
"content": "(6/x^3)(8x^3)=6*8",
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},
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"id": 954410136485638300,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/18/2022 12:05:08",
"content": "Thanks this was useful",
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"timestamp": "03/18/2022 12:05:12",
"content": ".close",
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"timestamp": "03/18/2022 12:05:13",
"content": "Channel closed",
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] | help-10 | 6da37aaed55546ac837f7b10928e38fc |
132 | [
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"timestamp": "01/18/2022 09:16:20",
"content": "Available help channel!",
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"timestamp": "01/18/2022 09:26:44",
"content": "Hi, guys, i am looking at this proof, in my mind, non-singular conic C means that for any point on C, there is no point satisfy dC/dx=dC/dy=dC/dz = 0, how can it be related to non-degenerate bilinear form?",
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"content": "Pinned a message.",
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"content": "@cc0101 Has your question been resolved?",
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] | help-10 | cd8f757e45ac408bac2ad9a0032f195c |
1,320 | [
{
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"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/18/2022 13:30:51",
"content": "Quick question, if I multiply both sides of 3^x - 3/3^x = -2 by 3^x I'll get 3^x -3 = -2*3^x right?",
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"timestamp": "03/18/2022 13:31:37",
"content": "no",
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"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/18/2022 13:32:34",
"content": "Oh right my bad, (3^x)^2 -3 = -2*3^x , right?",
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"content": "yes",
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"content": "Aight, that's it.",
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"content": "Channel closed",
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] | help-10 | 7ddb802ad3e9494297f550190003f1cd |
1,321 | [
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"content": "✅",
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"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/18/2022 13:35:36",
"content": "Actually one more thing if x^2=t then t is greater or equal to 0 not just greater, right?",
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"content": "if x = 0, t = 0 so yeah",
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"timestamp": "03/18/2022 13:39:34",
"content": "Alrighty then I'm actually done now, thanks.",
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] | help-10 | 2ef1b1f08c354921ac6baa3339270975 |
1,322 | [
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"timestamp": "03/18/2022 13:41:30",
"content": "Okay I'm stupid I dunno where I took that from, it's actually 3^x not x^2, then it is actually just greater then 0, right?",
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"content": "unless x is complex",
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"timestamp": "03/18/2022 13:42:25",
"content": "Yeah I don't have to deal with those yet, thankfully. :'3",
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"timestamp": "03/18/2022 13:42:45",
"content": "Thanks again.",
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] | help-10 | e6cd2ec57193417d906c60652732b54c |
1,323 | [
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"id": 954449121723441300,
"author_id": 714186370934898700,
"author_name": "xihiro",
"timestamp": "03/18/2022 14:40:03",
"content": "Consider the space V_1 x ... x V_m of dimension n1 + ... + n_m. Now consider the space generated by tensor product of the basis vectors of the V_i, i = 1,..., m",
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"content": "I understand that both spaces are different and the underlying idea",
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"timestamp": "03/18/2022 14:41:06",
"content": "but this book says they are different because the addition is different",
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"content": "how is it different?",
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"author_id": 948702877453520900,
"author_name": "jack1",
"timestamp": "03/18/2022 14:50:43",
"content": "Your question is unspecific. Which aspect do you want to ask about?",
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"timestamp": "03/18/2022 14:51:59",
"content": "From a vector space point of view, both spaces satisfy the same set of axioms for addition and scalar multiplication",
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"timestamp": "03/18/2022 14:56:59",
"content": "@xihiro Has your question been resolved?",
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"timestamp": "03/18/2022 15:01:05",
"content": "@jack1 unspecific how? I guess what they mean is that the vectors from one space somewhat add «differently» than the other",
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"timestamp": "03/18/2022 15:01:15",
"content": "I am just asking how?",
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"content": "@xihiro Has your question been resolved?",
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"content": ".close",
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"content": "Channel closed",
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] | help-10 | d15588e4529940b8ad475c7e32a8ca82 |
1,324 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 21:10:15",
"content": "Available help channel!",
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},
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"id": 907814709640724500,
"author_id": 340615557692784640,
"author_name": "SlyDaw",
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"content": "Pinned a message.",
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"author_id": 340615557692784640,
"author_name": "SlyDaw",
"timestamp": "11/09/2021 21:11:41",
"content": "i got 12.5 for width and length does that sound right?",
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"id": 907815152685023400,
"author_id": 261955782252167170,
"author_name": "Cog",
"timestamp": "11/09/2021 21:13:18",
"content": "yeah, a square maximizes surface area with respect to perimeter",
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"timestamp": "11/09/2021 21:13:40",
"content": "gotcha, thanks",
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"timestamp": "11/09/2021 21:13:42",
"content": ".close",
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},
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"id": 907815255684571100,
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"content": "Channel closed",
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] | help-10 | 84a50ebade2e4b5b975f76f15570120d |
1,325 | [
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"author_id": 729380281609355300,
"author_name": "The4spaceconstants",
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"content": "I have 16 slots, I want to know the probability that 3 or more objects that have a 3% chance per tile appear. (so if it's with only one tile with one of these rare objects it's a 3% chance)\n\nThere is also another object with an 80% chance per tile.\n\nI'm stuck at the fact that if I used Pascal's triangle it would only be for a case with 3 rare objects and for example 10 common objects, won't combine the other cases that have 9 or 11 common objects.",
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"content": "Pinned a message.",
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"timestamp": "03/18/2022 16:58:12",
"content": "@The4spaceconstants Has your question been resolved?",
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"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "03/18/2022 17:02:36",
"content": "so >= 3 successes out of 16 trials with each a probability of 0.03 (and 0.80 in another case)?",
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"content": "Channel closed",
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}
] | help-10 | 2601fcfafc3b453aaaf9a20b05485d54 |
1,326 | [
{
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"content": "Available help channel!",
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},
{
"id": 954489189242662900,
"author_id": 871525052376555500,
"author_name": "Trall",
"timestamp": "03/18/2022 17:19:16",
"content": "I need help translating these sentences into a predicate logic forumla",
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"author_name": "Gloomy Lecherous wallflower",
"timestamp": "03/18/2022 17:20:59",
"content": "you should use the \"for all\" and \"exists\"",
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"id": 954489638855278700,
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"timestamp": "03/18/2022 17:21:03",
"content": "i think",
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"author_id": 801848896509837300,
"author_name": "Gloomy Lecherous wallflower",
"timestamp": "03/18/2022 17:21:04",
"content": "symbols",
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "03/18/2022 17:21:19",
"content": "why would you need for all ?",
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"timestamp": "03/18/2022 17:21:37",
"content": "doesnt it carry the same connotation of if?",
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"author_name": "Rylo",
"timestamp": "03/18/2022 17:22:20",
"content": "oh yeah, true you could simply use a implies b right",
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"timestamp": "03/18/2022 17:22:21",
"content": "I have zero idea what I need to do to it",
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"timestamp": "03/18/2022 17:22:27",
"content": "Logic is a very weak topic for me lol",
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"content": "dw, same my guy",
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"content": "I’m working on it tho",
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"timestamp": "03/18/2022 17:22:44",
"content": "like my brain is putting in programming ways",
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"timestamp": "03/18/2022 17:22:58",
"content": "like if x = b\n x = happy",
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"content": "id say so",
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"author_name": "Gloomy Lecherous wallflower",
"timestamp": "03/18/2022 17:24:01",
"content": "for all dragon has a child\nexists dragon is happy",
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"timestamp": "03/18/2022 17:24:03",
"content": "have you used if a, then b \ntranslates to a implies b",
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"author_name": "Gloomy Lecherous wallflower",
"timestamp": "03/18/2022 17:24:05",
"content": "how does this sounds?",
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"timestamp": "03/18/2022 17:24:14",
"content": "idk what signs i need however ahaha",
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"timestamp": "03/18/2022 17:24:31",
"content": "-> if you were to use a implies b",
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"timestamp": "03/18/2022 17:24:35",
"content": "isnt it ( ) for all",
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"timestamp": "03/18/2022 17:24:37",
"content": "so",
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"content": "this is",
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"timestamp": "03/18/2022 17:24:49",
"content": "for all",
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"timestamp": "03/18/2022 17:24:52",
"content": "yeah, that’s for all",
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"author_name": "Rylo",
"timestamp": "03/18/2022 17:25:05",
"content": "personally find it excessive",
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"author_name": "Gloomy Lecherous wallflower",
"timestamp": "03/18/2022 17:25:05",
"content": "there exists",
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"content": "if it works, it works ig",
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"content": "tis' used in epsilon delta definition",
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"content": "might need this in such questions i guess",
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"timestamp": "03/18/2022 17:27:07",
"content": "∀ dragon → childof → true ≡ happy",
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"timestamp": "03/18/2022 17:28:00",
"content": "is this math or coding lol",
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"content": "math",
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"content": "yeah i think thats right",
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"timestamp": "03/18/2022 17:28:31",
"content": "it just seems so simple",
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"timestamp": "03/18/2022 17:28:34",
"content": "for 8 marks#",
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"timestamp": "03/18/2022 17:43:34",
"content": "@Trall Has your question been resolved?",
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"content": "@Trall Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | c3984e3716ea43079bab1ba1c9be8298 |
1,327 | [
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"author_name": "نعمان",
"timestamp": "03/18/2022 18:22:24",
"content": "Are physics questions welcome too if they're mainly about the math being used? \n\n(I'll go ahead and ask anyway, if I should remove it please do tell me)",
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"content": "Why does he integrate?",
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"timestamp": "03/18/2022 18:22:43",
"content": "video-link: https://www.youtube.com/watch?v=QpVxj3XrLgk&list=PLyQSN7X0ro2314mKyUiOILaOC2hk6Pc3j&index=5",
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"id": 954505628380987400,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/18/2022 18:24:35",
"content": "The electric potential is the negative integral from a reference point to the point you want to find of the electric field",
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"id": 954505813261684700,
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"timestamp": "03/18/2022 18:25:19",
"content": "$-\\int_{\\infty}^{\\vec{r}} \\vec{E} \\ d\\vec{l}$",
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"timestamp": "03/18/2022 18:25:41",
"content": "**Katharine**",
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"timestamp": "03/18/2022 18:25:51",
"content": "often the reference point is set at infinity",
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"timestamp": "03/18/2022 18:27:44",
"content": "Oh i didnt know that, i thought it was defined as the potential energy per unit charge so Q/(4.pi.epsilon.R)",
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"timestamp": "03/18/2022 18:28:05",
"content": "(also ig this *is* a physics question after all since now im conceptually confused",
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"id": 954506967706132500,
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"timestamp": "03/18/2022 18:29:54",
"content": "another way of thinking about it would be",
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"content": "$\\vec{E} = -\\nabla V$",
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"id": 954507106504044500,
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"timestamp": "03/18/2022 18:30:28",
"content": "**Katharine**",
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"timestamp": "03/18/2022 18:30:55",
"content": "the reason he uses force",
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"author_id": 160921656313905150,
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"timestamp": "03/18/2022 18:30:57",
"content": "is because",
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"id": 954507291997122600,
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"author_name": "Katharine",
"timestamp": "03/18/2022 18:31:12",
"content": "$\\vec{F} = q \\vec{E}$",
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"timestamp": "03/18/2022 18:31:14",
"content": "**Katharine**",
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"timestamp": "03/18/2022 18:32:16",
"content": "btw you can rewrite it as the potential energy per charge",
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"timestamp": "03/18/2022 18:36:51",
"content": "Hmm i dont really get it yet but i'm gonna look at it again tommorow",
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"timestamp": "03/18/2022 18:36:56",
"content": "thanks for the help!",
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"timestamp": "03/18/2022 18:51:56",
"content": "@نعمان Has your question been resolved?",
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"timestamp": "03/18/2022 19:06:56",
"content": "Channel closed",
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] | help-10 | 1300a78709d34566a7fd61422a5a8257 |
1,328 | [
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"content": "Available help channel!",
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},
{
"id": 954555507048349700,
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"content": "Pinned a message.",
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"timestamp": "03/18/2022 21:42:58",
"content": "i need help",
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 21:43:09",
"content": "i dont know how to solve this",
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"timestamp": "03/18/2022 21:47:05",
"content": "@Helpers",
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"author_name": "dldh06",
"timestamp": "03/18/2022 21:47:28",
"content": "You have to wait at least 15 minutes before pinging helpers",
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"timestamp": "03/18/2022 21:47:32",
"content": "oh",
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"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 21:48:48",
"content": "what is abs(y1-y2) for C (x1,y1) and another point P (-1,y2)?",
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 21:49:29",
"content": "to be real with you",
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"timestamp": "03/18/2022 21:49:35",
"content": "I don't know",
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"timestamp": "03/18/2022 21:49:45",
"content": "pls use another help channel",
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"content": "C has coords (-4,5)",
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"timestamp": "03/18/2022 21:50:10",
"content": "I have just been stuck on it for 1 hour",
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"timestamp": "03/18/2022 21:50:25",
"content": "yeah i know the coords on C",
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"timestamp": "03/18/2022 21:50:36",
"content": "its just part B",
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"timestamp": "03/18/2022 21:50:43",
"content": "i cant get my head around",
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"timestamp": "03/18/2022 21:51:57",
"content": "like part B of the coords",
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"timestamp": "03/18/2022 21:52:01",
"content": "i don't know",
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"timestamp": "03/18/2022 21:52:36",
"content": "I'll say it means to translate the whole figure so every point (x1,y1) becomes (x1-1,y1-6)",
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:00:13",
"content": "@hellblaze_skyfire so is the part higlighted -4,5",
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"timestamp": "03/18/2022 22:00:24",
"content": "nah",
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"timestamp": "03/18/2022 22:00:34",
"content": "C is (-4,5)",
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"timestamp": "03/18/2022 22:00:53",
"content": "abs(-4-(-1))=abs(-3)=3",
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"timestamp": "03/18/2022 22:01:03",
"content": "so the x of C' is (-1+3)=2",
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"timestamp": "03/18/2022 22:01:08",
"content": "so C' is (2,5)",
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"timestamp": "03/18/2022 22:01:10",
"content": "do you get it",
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:01:57",
"content": "so what is part B if part A is (2,5)",
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"timestamp": "03/18/2022 22:01:58",
"content": "try to explain yourself to me how we can get C;",
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"timestamp": "03/18/2022 22:02:01",
"content": "nah i dont",
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"timestamp": "03/18/2022 22:02:07",
"content": "im just so stuck",
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"timestamp": "03/18/2022 22:02:11",
"content": "lemme give you B first",
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"timestamp": "03/18/2022 22:02:16",
"content": "(2-1,5-6)=(1,-1)",
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"timestamp": "03/18/2022 22:02:34",
"content": "However, I need you to try to explain how to go from C to C'",
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"timestamp": "03/18/2022 22:02:45",
"content": "ok",
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"timestamp": "03/18/2022 22:04:45",
"content": "@hellblaze_skyfire nah i still am stuck i think if u give me B ill probably have my head grasped around how we get to the answer",
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"timestamp": "03/18/2022 22:04:52",
"content": "ok.",
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"timestamp": "03/18/2022 22:05:00",
"content": "cuz im so lost",
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"timestamp": "03/18/2022 22:05:01",
"content": "So first we have C, which is (-4,5)",
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"timestamp": "03/18/2022 22:05:04",
"content": "do you know what this means",
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"timestamp": "03/18/2022 22:05:16",
"content": "yeah",
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"timestamp": "03/18/2022 22:05:28",
"content": "let's not reflect in x=-1 first",
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"timestamp": "03/18/2022 22:05:35",
"content": "ok",
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"timestamp": "03/18/2022 22:05:37",
"content": "what is the coordinates if C is reflected in x=0",
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"timestamp": "03/18/2022 22:06:16",
"content": "-4",
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"timestamp": "03/18/2022 22:06:19",
"content": "and smth",
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"timestamp": "03/18/2022 22:06:27",
"content": "no",
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"timestamp": "03/18/2022 22:06:42",
"content": "if a point (x,y) is reflected in x=0 then it becomes (-x,y)",
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"timestamp": "03/18/2022 22:06:58",
"content": "this can be expressed in two ways",
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"timestamp": "03/18/2022 22:07:24",
"content": "ok",
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"timestamp": "03/18/2022 22:08:20",
"content": "the first one is of course (-x,y)",
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"timestamp": "03/18/2022 22:08:26",
"content": "the second one is (x-2x,y)",
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"timestamp": "03/18/2022 22:08:40",
"content": "and if now we're reflecting in x=-1",
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"timestamp": "03/18/2022 22:09:50",
"content": "we would do (x+2(abs(-1-x)),y)",
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"timestamp": "03/18/2022 22:10:19",
"content": "okay....",
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"timestamp": "03/18/2022 22:10:36",
"content": "now substitute -4 for x",
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"timestamp": "03/18/2022 22:10:47",
"content": ",w x+2(abs(-1-x)) for x=-4",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/18/2022 22:10:53",
"content": "Results provided by WolframAlpha",
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:11:29",
"content": "(-4+2(-1--4)",
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"timestamp": "03/18/2022 22:11:47",
"content": ",w (-4+2(-1--4))",
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"timestamp": "03/18/2022 22:11:50",
"content": "Results provided by WolframAlpha",
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"timestamp": "03/18/2022 22:12:14",
"content": "we see C is (-4,5)",
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"timestamp": "03/18/2022 22:12:21",
"content": "so C' would be (2,5)",
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"timestamp": "03/18/2022 22:12:28",
"content": "ohh",
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"timestamp": "03/18/2022 22:12:48",
"content": "has anyone explained to you what is the (-1,-6) notation in b",
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"timestamp": "03/18/2022 22:12:56",
"content": "no",
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"timestamp": "03/18/2022 22:12:59",
"content": "all ik is",
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"timestamp": "03/18/2022 22:13:05",
"content": "negative is",
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"timestamp": "03/18/2022 22:13:06",
"content": "left",
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"id": 954563149179257000,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:13:09",
"content": "or down",
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"id": 954563162148077600,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:13:12",
"content": "positive is",
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"id": 954563176391901200,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:13:16",
"content": "up or right",
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"id": 954563177239154800,
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"timestamp": "03/18/2022 22:13:16",
"content": "good",
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"timestamp": "03/18/2022 22:13:19",
"content": "but",
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"timestamp": "03/18/2022 22:13:32",
"content": "let's now assume the notation means (-1,-6)",
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"timestamp": "03/18/2022 22:13:38",
"content": "ok",
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"timestamp": "03/18/2022 22:13:42",
"content": "since it's not rotation it's translation",
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"timestamp": "03/18/2022 22:13:47",
"content": "x-1 and y-6",
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"timestamp": "03/18/2022 22:13:56",
"content": "so it's (2-1,5-6) which is (1,-1)",
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"timestamp": "03/18/2022 22:14:32",
"content": "oh u explained that so",
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"timestamp": "03/18/2022 22:14:34",
"content": "easily",
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"timestamp": "03/18/2022 22:14:34",
"content": ".",
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"id": 954563571390488600,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:14:50",
"content": "wait so",
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"timestamp": "03/18/2022 22:14:55",
"content": "is this my answers",
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"timestamp": "03/18/2022 22:14:59",
"content": "lemme type e",
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"timestamp": "03/18/2022 22:15:00",
"content": "m",
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"content": "@hellblaze_skyfire",
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"content": "that should be correct",
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"content": "DAM",
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"timestamp": "03/18/2022 22:17:24",
"content": "ITS RIGHT",
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"timestamp": "03/18/2022 22:17:33",
"content": "THANKS BRO I APPRECIATE IT SO MUCH",
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"timestamp": "03/18/2022 22:17:39",
"content": "I WAS STUCK ON IT FROM 12AM",
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"content": "AND ITS 2.17AM",
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"content": "UR EXPLANATION HELPED",
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"content": "@hellblaze_skyfire last question",
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"content": "well thx",
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"timestamp": "03/18/2022 22:21:45",
"content": "do you know what is a polygon",
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"content": "for some reason im getting this wrong",
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"content": "yeah",
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"timestamp": "03/18/2022 22:22:11",
"content": "it only has 2 straight sides",
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"timestamp": "03/18/2022 22:22:19",
"content": "i mean",
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"content": "no",
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"timestamp": "03/18/2022 22:22:26",
"content": "only straight sides",
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"timestamp": "03/18/2022 22:22:27",
"content": "not 2",
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"timestamp": "03/18/2022 22:22:31",
"content": "exactly",
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"timestamp": "03/18/2022 22:22:32",
"content": "good",
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"timestamp": "03/18/2022 22:22:35",
"content": "now what is a regular polygon",
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"timestamp": "03/18/2022 22:22:53",
"content": "do you know that",
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"content": "equal sides",
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"timestamp": "03/18/2022 22:23:00",
"content": "and angles",
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"timestamp": "03/18/2022 22:23:02",
"content": "good",
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},
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:23:05",
"content": "and irregular isnt",
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"timestamp": "03/18/2022 22:23:08",
"content": "good",
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"id": 954565673135276000,
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"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:23:11",
"content": "now you should be able to do that",
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"timestamp": "03/18/2022 22:23:25",
"content": "but i dont understand which shape",
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"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:23:25",
"content": "remember, don't assume anything you're not given",
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"id": 954565752852217900,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:23:30",
"content": "im messing up on",
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"id": 954565932058017800,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:24:13",
"content": "is A a polygon",
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},
{
"id": 954566019177939000,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:24:33",
"content": "b isnt",
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"id": 954566049657921500,
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"timestamp": "03/18/2022 22:24:41",
"content": "c is",
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},
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"id": 954566060806385700,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:24:43",
"content": "wait",
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"timestamp": "03/18/2022 22:24:46",
"content": "in fact B is a polygon",
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"id": 954566080674799600,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:24:48",
"content": "D isnt?",
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"id": 954566098601279500,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:24:52",
"content": "D is",
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"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:24:53",
"content": "b is?",
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"timestamp": "03/18/2022 22:24:58",
"content": "E isn't",
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"id": 954566135897006100,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:25:01",
"content": "a circle isn't a polygon",
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},
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"id": 954566143807467500,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:25:03",
"content": "e is neither",
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"id": 954566203316240400,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:25:17",
"content": "exactly",
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"timestamp": "03/18/2022 22:25:17",
"content": "A isnt",
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"timestamp": "03/18/2022 22:25:26",
"content": "A is a polygon as well",
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"id": 954566262221058000,
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"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:25:31",
"content": "there is no curve lines",
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"id": 954566767206887400,
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"timestamp": "03/18/2022 22:27:32",
"content": "i put",
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"id": 954566795958841500,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:27:39",
"content": "a isnt",
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"id": 954566822173221000,
"author_id": 608001262830616600,
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"timestamp": "03/18/2022 22:27:45",
"content": "b isnt",
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"id": 954566851894083600,
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"timestamp": "03/18/2022 22:27:52",
"content": "c is",
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},
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"id": 954566882344698000,
"author_id": 892725065127444500,
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"timestamp": "03/18/2022 22:27:59",
"content": "a is a polygon",
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"id": 954566884899057700,
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"timestamp": "03/18/2022 22:28:00",
"content": "e is neither",
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"id": 954566894692733000,
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:28:02",
"content": "d isnt",
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"timestamp": "03/18/2022 22:28:06",
"content": "and i got it right",
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"timestamp": "03/18/2022 22:28:08",
"content": "everything except E are polygons",
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"id": 954566933825605600,
"author_id": 892725065127444500,
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"timestamp": "03/18/2022 22:28:12",
"content": "good",
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"id": 954567008979148800,
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"author_name": "hellblaze_skyfire",
"timestamp": "03/18/2022 22:28:29",
"content": "I suppose you can close this now, I'm in foot drill online class",
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"id": 954567052180459600,
"author_id": 892725065127444500,
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"timestamp": "03/18/2022 22:28:40",
"content": "and I'm supposed to be paying full attention",
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"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:28:43",
"content": "thanks bro i appreciate the explaining this to me it meant alot yeah sure",
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"id": 954567077480521900,
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"timestamp": "03/18/2022 22:28:46",
"content": "idm",
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"id": 954567088922583200,
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"timestamp": "03/18/2022 22:28:48",
"content": ".close",
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"id": 954567090042466300,
"author_id": 805217272087838700,
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"timestamp": "03/18/2022 22:28:49",
"content": "Channel closed",
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] | help-10 | 58182c47e4f14d619ead21072e302d19 |
1,329 | [
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"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "03/18/2022 22:28:49",
"content": "thanks tho",
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"content": "done 🙂",
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"timestamp": "03/18/2022 22:29:08",
"content": "wait wut the lesson has ended--",
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"content": "Available help channel!",
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},
{
"id": 954571750643998800,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 22:47:20",
"content": "how do i find a critical point if the domain is x cannot equal zero and f(x) =10x^3 +6/x",
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"timestamp": "03/18/2022 22:47:20",
"content": "Pinned a message.",
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"id": 954574181104775300,
"author_id": 769848248746639400,
"author_name": "hiro",
"timestamp": "03/18/2022 22:56:59",
"content": "What do you mean by critical point?",
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},
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"id": 954574383752548400,
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"author_name": "pancake",
"timestamp": "03/18/2022 22:57:48",
"content": "A critical point (or number) of a function f(x) is a number c in the domain of f(x) such that \nf '(c) = 0\n or does not exist. What rules for derivatives are used to find \nf '(x)?",
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"id": 954574402631135400,
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"timestamp": "03/18/2022 22:57:52",
"content": "that i gues XD",
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"timestamp": "03/18/2022 22:58:45",
"content": "So are you having trouble finding f’(x)?",
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"timestamp": "03/18/2022 22:58:57",
"content": "well i know f'(x)",
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"timestamp": "03/18/2022 22:59:12",
"content": "What is it",
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},
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"author_name": "pancake",
"timestamp": "03/18/2022 22:59:17",
"content": "its (30x^4-6)/x^2",
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"timestamp": "03/18/2022 22:59:34",
"content": "So now you’re looking for x values that either make this undefined or make it 0",
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"timestamp": "03/18/2022 22:59:45",
"content": "The only thing for undefined is x = 0, right",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:00:04",
"content": "so do i just plug random numbers into x ?",
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"timestamp": "03/18/2022 23:00:08",
"content": "No lol",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:00:21",
"content": "how wouldi make this zero XD besideds plugging in zero ?",
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"timestamp": "03/18/2022 23:00:38",
"content": "You __set it equal__ to 0",
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"timestamp": "03/18/2022 23:00:43",
"content": "ooo",
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"timestamp": "03/18/2022 23:00:43",
"content": "So",
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"timestamp": "03/18/2022 23:00:45",
"content": "Yeah",
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"author_name": "abs_0",
"timestamp": "03/18/2022 23:00:49",
"content": "Then you solve for x",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:01:04",
"content": "0 =30x^4-6/x^2 ?",
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"timestamp": "03/18/2022 23:01:09",
"content": "Yeah",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:01:26",
"content": "mkay now i got 2 xs",
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"id": 954575331585581200,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:01:34",
"content": "that are really nasty looking lol",
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"timestamp": "03/18/2022 23:01:37",
"content": "Now we can multiply both sides by x^2",
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"timestamp": "03/18/2022 23:01:52",
"content": "30x^4 - 6 = 0",
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"timestamp": "03/18/2022 23:02:01",
"content": "Right?",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:02:04",
"content": "yee",
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"id": 954575472786817000,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 23:02:07",
"content": "i end up with",
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"timestamp": "03/18/2022 23:02:21",
"content": "x=4square root 125 over 5",
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"id": 954575556693880800,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:02:27",
"content": "positive and negative",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:07:18",
"content": "i dont know what this question wants lmao",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:13:34",
"content": "@Helpers",
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"timestamp": "03/18/2022 23:19:09",
"content": "You should get $$x = \\pm \\frac 1{\\sqrt[4]5}$$",
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"author_name": "TeXit",
"timestamp": "03/18/2022 23:19:12",
"content": "**abs\\_0**",
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"timestamp": "03/18/2022 23:19:48",
"content": "So those x-values, together with x = 0, are the critical values of f",
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"timestamp": "03/18/2022 23:19:51",
"content": "@pancake",
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"id": 954580082930905100,
"author_id": 450375444450115600,
"author_name": "nitrogen.",
"timestamp": "03/18/2022 23:20:27",
"content": "Are you sure this is right?",
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"author_name": "nitrogen.",
"timestamp": "03/18/2022 23:20:39",
"content": "Wasn't your initial function (10x^3 +6)/x?",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:21:06",
"content": "my initital was f(x) = 10x^3 + 6/x",
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"author_name": "nitrogen.",
"timestamp": "03/18/2022 23:21:31",
"content": "Oh, oops.\nNever mind. Ignore what I just said.",
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"timestamp": "03/18/2022 23:22:48",
"content": "im not sure",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:22:51",
"content": "how you get that",
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"author_name": "nitrogen.",
"timestamp": "03/18/2022 23:23:04",
"content": "Well, the initial problem said x cannot equal 0, so not x = 0.",
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"timestamp": "03/18/2022 23:23:37",
"content": "Oh you’re right yeah",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:23:38",
"content": "i get the square root on top",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:23:50",
"content": "as 4squareroot 125",
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"id": 954580952506568700,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:23:54",
"content": "and 5 on bottom",
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"timestamp": "03/18/2022 23:24:09",
"content": "(30x^4 - 6)/x^2 = 0\n30x^4 - 6 = 0\n30x^4 = 6\nx^4 = 1/5\nhence what I got",
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"timestamp": "03/18/2022 23:25:31",
"content": "yea on my last step x^4=1/5 goes to 4^squareroot 125/5",
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"timestamp": "03/18/2022 23:25:47",
"content": "not 1/4^squareroot5",
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"id": 954581485615194100,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/18/2022 23:26:01",
"content": "How do you figure 125/5?",
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"id": 954581684270026800,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:26:48",
"content": "\\root(4)(125)",
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"id": 954581735847387300,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 23:27:01",
"content": "ugh thisi s annoying not knowing how to write this crap XD",
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"author_id": 307070375735459840,
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"timestamp": "03/18/2022 23:27:01",
"content": "But where did 125 come from",
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"timestamp": "03/18/2022 23:27:15",
"content": "$$\\sqrt[4]{125}$$",
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"author_name": "TeXit",
"timestamp": "03/18/2022 23:27:17",
"content": "**abs\\_0**",
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"timestamp": "03/18/2022 23:27:21",
"content": "Try to mimic this",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:27:23",
"content": "not sure i put it into my calulator and thats what i get",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:28:32",
"content": "im taking the root of both sides of the equation which leaves x=or-$$\\sqrt[4]{125}$$",
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"timestamp": "03/18/2022 23:28:35",
"content": "**pancake**",
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"timestamp": "03/18/2022 23:29:56",
"content": "well its x^4 so im doing square root the square root of 1/5",
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"timestamp": "03/18/2022 23:32:55",
"content": "You have $$x^4 = \\frac{1}{5}$$ right? So if you take the fourth root of both sides you get $$x = \\sqrt[4]{\\frac{1}{5}} = \\frac{\\sqrt[4]1}{\\sqrt[4]5} = \\boxed{\\frac 1{\\sqrt[4]5}}$$",
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"timestamp": "03/18/2022 23:32:58",
"content": "**abs\\_0**",
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"timestamp": "03/18/2022 23:33:18",
"content": "@pancake",
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"timestamp": "03/18/2022 23:33:31",
"content": "hmm",
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"timestamp": "03/18/2022 23:33:44",
"content": "Well, plus or minus that",
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"timestamp": "03/18/2022 23:33:46",
"content": "i was just doing a square inside a square lol",
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"timestamp": "03/18/2022 23:33:52",
"content": "Oh",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:33:55",
"content": "so is that my critical point ?",
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"timestamp": "03/18/2022 23:34:03",
"content": "or do i use that to find it ?",
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"timestamp": "03/18/2022 23:35:15",
"content": "Well our candidates for critical points are $$x = 0,\\quad x = -\\frac1{\\sqrt[4]5},\\quad x = \\frac1{\\sqrt[4]5}$$",
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"timestamp": "03/18/2022 23:35:18",
"content": "**abs\\_0**",
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"timestamp": "03/18/2022 23:35:27",
"content": "There can be multiple critical points, the question is asking for all of them",
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"timestamp": "03/18/2022 23:35:58",
"content": "From the definition, it says a critical point must be a number in the function’s domain",
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"id": 954584133697404900,
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"timestamp": "03/18/2022 23:36:32",
"content": "They say the domain is “all real numbers except 0”",
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"id": 954584233467347000,
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"timestamp": "03/18/2022 23:36:56",
"content": "So x = 0 cannot be a critical point because it’s not in the function’s domain!",
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"timestamp": "03/18/2022 23:37:06",
"content": "Are you following so far?",
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"timestamp": "03/18/2022 23:37:23",
"content": "@pancake",
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"timestamp": "03/18/2022 23:37:39",
"content": "sorry i was trying to do the tutorial to explain it and its dumb",
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"timestamp": "03/18/2022 23:37:50",
"content": "and yes that makes sense",
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"timestamp": "03/18/2022 23:37:53",
"content": "Ah",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:38:00",
"content": "0 isnt in the domain so its not a option",
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"id": 954584550904832000,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 23:38:12",
"content": "and im trying to see which of the others is in the domain ?",
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"timestamp": "03/18/2022 23:38:19",
"content": "Ok cool and since the other two numbers are definitely in the domain, those are our two critical points",
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"timestamp": "03/18/2022 23:38:37",
"content": "Yeah they’re both in the domain",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:39:20",
"content": "also so like im doing this on a caluclator but it keeps giving me weird answers when i do something x^4=1/5 how do i get it to do the 1/4sqrt5 ?",
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"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/18/2022 23:40:21",
"content": "Your calculator can solve equations?",
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"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 23:40:30",
"content": "yea sometimes lol",
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"timestamp": "03/18/2022 23:40:37",
"content": "Oh",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:40:38",
"content": "but i gues not for these",
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"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 23:40:53",
"content": "kept screwing me over giving me weird stuff XD",
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"id": 954585241807376400,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/18/2022 23:40:56",
"content": "Wait so u put in x^4 = 1/5 and it gave you that weird 125 thing?",
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"id": 954585261281538000,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:41:01",
"content": "yes",
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"timestamp": "03/18/2022 23:41:07",
"content": "That’s super odd",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:42:02",
"content": "yeaa it was lol",
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"timestamp": "03/18/2022 23:42:12",
"content": "What calculator is it",
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"id": 954585617654755300,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:42:26",
"content": "photomath on my phone lol",
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"id": 954585781001941000,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:43:05",
"content": "so my next one is f(x)=20x/25x^2+1 do i do that the same way ?",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:45:02",
"content": "0=-500x^2+20/(25x^2+1)^2",
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"id": 954586397849829400,
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"timestamp": "03/18/2022 23:45:32",
"content": "-20=-500x^2",
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"id": 954586511553233000,
"author_id": 301723607065821200,
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"timestamp": "03/18/2022 23:45:59",
"content": "1/25=x^2",
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"id": 954586560941146100,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/18/2022 23:46:11",
"content": "1/5=x",
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"id": 954586591735734400,
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"author_name": "pancake",
"timestamp": "03/18/2022 23:46:18",
"content": "that look right ?",
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"author_name": "pancake",
"timestamp": "03/18/2022 23:46:36",
"content": "i didnt plug it into the calculator this time so it looks very simple haha",
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"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/19/2022 00:01:30",
"content": "or ?",
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"timestamp": "03/19/2022 00:03:24",
"content": "Wait this is unclear",
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"timestamp": "03/19/2022 00:03:36",
"content": "Is it 20x/(25x^2 + 1)?",
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"author_name": "pancake",
"timestamp": "03/19/2022 00:03:42",
"content": "20x is the only thing on top yes",
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"timestamp": "03/19/2022 00:03:53",
"content": "i got it right lol",
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"id": 954591052839399400,
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"author_name": "pancake",
"timestamp": "03/19/2022 00:04:02",
"content": "i keep putting zeros even for some reason",
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"id": 954591113518383100,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/19/2022 00:04:16",
"content": "i thought zero would be included if the domain is - infinty to positive infinity",
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"id": 954591529664675800,
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"timestamp": "03/19/2022 00:05:56",
"content": "Oh",
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"author_name": "abs_0",
"timestamp": "03/19/2022 00:06:25",
"content": "Yeah the domain is all real numbers (make sure you understand why)",
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"id": 954592512369119200,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/19/2022 00:09:50",
"content": "Find the maximum and minimum values of the function y=6squarerootx^2+1 then -x at [0,3]?",
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"author_name": "pancake",
"timestamp": "03/19/2022 00:09:56",
"content": "what would i do here ?",
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"author_name": "pancake",
"timestamp": "03/19/2022 00:10:09",
"content": "i tried getting the derrivative then setting it equal to zero",
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"id": 954592635287371800,
"author_id": 301723607065821200,
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"timestamp": "03/19/2022 00:10:19",
"content": "and i got x= -1/6",
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"author_name": "pancake",
"timestamp": "03/19/2022 00:20:34",
"content": "idk how to do this haha",
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"timestamp": "03/19/2022 00:21:35",
"content": "Well the denominator can never be zero, that’s why. No matter what you put in for x, x^2 will always be at least 0, so certainly 25x^2 + 1 will always be bigger than 0",
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"timestamp": "03/19/2022 00:22:29",
"content": "well i meant the next problem lol",
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"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/19/2022 00:24:21",
"content": "like i got 2 problems on this homework left but idk how to do them XD",
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"id": 954598092341125200,
"author_id": 301723607065821200,
"author_name": "pancake",
"timestamp": "03/19/2022 00:32:00",
"content": "@Helpers can any1 help i have only 20 min left to finish this homework",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 00:47:00",
"content": "@pancake Has your question been resolved?",
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"timestamp": "03/19/2022 00:48:23",
"content": "If there are maximum and minimum values, they must be critical values",
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"timestamp": "03/19/2022 00:48:42",
"content": "So look for critical values of f, and then check which ones are maximums or minimums",
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"timestamp": "03/19/2022 00:49:19",
"content": "i did and i got it wrong a few times lol",
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"timestamp": "03/19/2022 01:02:01",
"content": "Channel closed",
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] | help-10 | b3a0a3cba6744137894b056eec8793cd |
133 | [
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"id": 933023961883750400,
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"author_name": "Mathematics Bot",
"timestamp": "01/18/2022 10:44:07",
"content": "Available help channel!",
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},
{
"id": 933024967942094800,
"author_id": 222274733230522370,
"author_name": "LordYasser",
"timestamp": "01/18/2022 10:48:07",
"content": "Can someone help explain why right answer here is d?",
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"content": "Pinned a message.",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "01/18/2022 10:49:20",
"content": "apriori you dont know if BA also gives 3I",
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"id": 933026858272964600,
"author_id": 222274733230522370,
"author_name": "LordYasser",
"timestamp": "01/18/2022 10:55:37",
"content": "So since we don’t have any info aboua BA we can’t say anything about it right ?",
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"timestamp": "01/18/2022 10:55:42",
"content": "yes",
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"id": 933026992260001800,
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"timestamp": "01/18/2022 10:56:09",
"content": "Thank you :catthumbsup:",
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"id": 933027026724601900,
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"timestamp": "01/18/2022 10:56:17",
"content": ".close",
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"timestamp": "01/18/2022 10:56:18",
"content": "Channel closed",
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] | help-10 | 043ce0f2c4674bd0a8917ed4f4479af8 |
1,330 | [
{
"id": 954651179562983400,
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"content": "Available help channel!",
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{
"id": 954652280852971500,
"author_id": 707189049630392400,
"author_name": "Shredder",
"timestamp": "03/19/2022 04:07:20",
"content": "How do I do: Find dy/dx in terms of y when x=sin^2 y?",
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"content": "Pinned a message.",
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"timestamp": "03/19/2022 04:10:03",
"content": "what's your guess?",
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"id": 954653557708181500,
"author_id": 707189049630392400,
"author_name": "Shredder",
"timestamp": "03/19/2022 04:12:24",
"content": "idk like 2cos2y?",
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},
{
"id": 954654235331543000,
"author_id": 707189049630392400,
"author_name": "Shredder",
"timestamp": "03/19/2022 04:15:06",
"content": "or is it 2sinycosx?",
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"id": 954654308677324800,
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"timestamp": "03/19/2022 04:15:23",
"content": "yes",
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"id": 954654372564963300,
"author_id": 707189049630392400,
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"timestamp": "03/19/2022 04:15:39",
"content": "okay cool thx",
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"author_name": "verystablegenius",
"timestamp": "03/19/2022 04:17:27",
"content": "wait no @Shredder",
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"timestamp": "03/19/2022 04:17:29",
"content": "read it wrong",
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"timestamp": "03/19/2022 04:18:19",
"content": "oh?",
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"author_id": 818958689137590300,
"author_name": "verystablegenius",
"timestamp": "03/19/2022 04:18:53",
"content": "sorry again my bad",
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"id": 954655281902665700,
"author_id": 707189049630392400,
"author_name": "Shredder",
"timestamp": "03/19/2022 04:19:15",
"content": "so what is it?",
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"author_name": "verystablegenius",
"timestamp": "03/19/2022 04:19:16",
"content": "where do you get the x?",
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"timestamp": "03/19/2022 04:19:23",
"content": "where did you get the x?",
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"id": 954655499725439100,
"author_id": 707189049630392400,
"author_name": "Shredder",
"timestamp": "03/19/2022 04:20:07",
"content": "oh is it y not x oops",
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"author_id": 707189049630392400,
"author_name": "Shredder",
"timestamp": "03/19/2022 04:20:31",
"content": "👍",
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},
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"id": 954659375845359600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 04:35:31",
"content": "@Shredder Has your question been resolved?",
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"timestamp": "03/19/2022 04:37:03",
"content": "Channel closed",
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}
] | help-10 | a3663757d8264083bf9b1ea10671d3a7 |
1,331 | [
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"timestamp": "03/19/2022 04:42:54",
"content": "Available help channel!",
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},
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"id": 954661317061525500,
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"timestamp": "03/19/2022 04:43:15",
"content": "Pinned a message.",
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"author_id": 737634880472744000,
"author_name": "sadew",
"timestamp": "03/19/2022 04:43:27",
"content": "can someone explain this to me",
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"id": 954661396312887300,
"author_id": 737634880472744000,
"author_name": "sadew",
"timestamp": "03/19/2022 04:43:33",
"content": "im reaply confused",
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},
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"id": 954664302168637400,
"author_id": 737634880472744000,
"author_name": "sadew",
"timestamp": "03/19/2022 04:55:06",
"content": "@Helpers",
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},
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"timestamp": "03/19/2022 05:10:06",
"content": "@sadew Has your question been resolved?",
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"id": 954669735700754400,
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"author_name": "piang",
"timestamp": "03/19/2022 05:16:41",
"content": "What are you not getting",
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"author_name": "sadew",
"timestamp": "03/19/2022 05:24:26",
"content": "its clear now i ask smn else",
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"timestamp": "03/19/2022 05:24:28",
"content": "Channel closed",
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}
] | help-10 | a3dcd97cb3a74daab8d64fdad77a1272 |
1,332 | [
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"content": "Available help channel!",
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"id": 954705696505622500,
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"author_name": "Waffles",
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"content": "How do i solve for b?",
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"content": "Pinned a message.",
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"timestamp": "03/19/2022 07:54:35",
"content": "@Waffles Has your question been resolved?",
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"id": 954711627243073700,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:03:09",
"content": "you know the x coordinate of the point you want to find",
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"content": "you gotta find the y coordinate",
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"content": "you also have the equation",
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"timestamp": "03/19/2022 08:27:00",
"content": "@Waffles Has your question been resolved?",
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:27:41",
"content": "sorry for the late reply!",
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:27:58",
"content": "how do i start it off?",
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"id": 954717955906748400,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:28:18",
"content": "well you have the equation for the ellipse",
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"timestamp": "03/19/2022 08:28:22",
"content": "and the x value",
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"timestamp": "03/19/2022 08:28:25",
"content": "you can find the y",
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:29:29",
"content": "wait i think i get it, lemme write it down",
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:29:44",
"content": "ill send a pic here",
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"id": 954719018550427800,
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:32:31",
"content": "Would it be like this? or",
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:33:31",
"content": "This was an example i found online but didn't quite get it but it looks like i can apply it",
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"author_name": "Katharine",
"timestamp": "03/19/2022 08:33:55",
"content": "yes this is the way to go about it",
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"id": 954719558923604000,
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:34:40",
"content": "Ohh alright, but why did they suddenly switch places?",
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"author_id": 930803347865358300,
"author_name": "Waffles",
"timestamp": "03/19/2022 08:34:54",
"content": "Wasnt the 2500 the x and not the y?",
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"id": 954719667103092700,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:35:06",
"content": "they multiplied everything with 2500",
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"id": 954719709532672000,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:35:16",
"content": "which gives 2500 y^2 + x^2",
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"id": 954719748854255600,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:35:25",
"content": "and also multiplied by 900",
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"id": 954719757096087700,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:35:27",
"content": "giving",
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"id": 954719787278278700,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "03/19/2022 08:35:35",
"content": "900 x^2 + y^2",
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:36:35",
"content": "Oh i thought they just cross multiplied",
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"id": 954720309389459500,
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"author_name": "Waffles",
"timestamp": "03/19/2022 08:37:39",
"content": "Ill try to do it on my question one second",
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"id": 954726524509114400,
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"author_name": "Waffles",
"timestamp": "03/19/2022 09:02:21",
"content": "I got it ty",
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"id": 954726532214034400,
"author_id": 930803347865358300,
"author_name": "Waffles",
"timestamp": "03/19/2022 09:02:23",
"content": ".close",
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},
{
"id": 954726533841428500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 09:02:23",
"content": "Channel closed",
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}
] | help-10 | 00bc24404eec45dcacead644f5d30fda |
1,333 | [
{
"id": 954726787408097300,
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"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 09:03:24",
"content": "Available help channel!",
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},
{
"id": 954727234667683800,
"author_id": 548784134349389800,
"author_name": "Lusername",
"timestamp": "03/19/2022 09:05:10",
"content": "I don’t know where to start",
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"timestamp": "03/19/2022 09:05:11",
"content": "Pinned a message.",
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"timestamp": "03/19/2022 09:06:06",
"content": "hope it helps",
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"id": 954727620346540000,
"author_id": 548784134349389800,
"author_name": "Lusername",
"timestamp": "03/19/2022 09:06:42",
"content": "Ohh thanks, i was using the wrong formula",
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"id": 954727647441723500,
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"timestamp": "03/19/2022 09:06:49",
"content": ".close",
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},
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"id": 954727648779706500,
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"content": "Channel closed",
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}
] | help-10 | 301d7d2fdd0c4b5da33b2ece98e7c0af |
1,334 | [
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"id": 954727707961344100,
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"timestamp": "03/19/2022 09:07:03",
"content": "you are welcome",
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"id": 954740114809036800,
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"content": "Available help channel!",
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{
"id": 954743642692661200,
"author_id": 433291954546278400,
"author_name": "Darquise",
"timestamp": "03/19/2022 10:10:22",
"content": "Guys I need some help: How can I, if I have this task, solve it without calculator?",
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"timestamp": "03/19/2022 10:10:23",
"content": "Pinned a message.",
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"id": 954743921286713300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 10:11:29",
"content": "whats 2^10 / 2^8",
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},
{
"id": 954747418564509700,
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"timestamp": "03/19/2022 10:25:22",
"content": "@Darquise Has your question been resolved?",
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"timestamp": "03/19/2022 10:40:23",
"content": "Channel closed",
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}
] | help-10 | 8525b7fafdaf48fe95130934afc5095a |
1,335 | [
{
"id": 903728696047857700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/29/2021 15:35:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 903729429048619000,
"author_id": 814630804050804700,
"author_name": "flip flop",
"timestamp": "10/29/2021 15:38:06",
"content": "I don’t understand",
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"timestamp": "10/29/2021 15:38:07",
"content": "Pinned a message.",
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"author_id": 814630804050804700,
"author_name": "flip flop",
"timestamp": "10/29/2021 15:38:07",
"content": "I don’t under stand this**",
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"reference": null
},
{
"id": 903732619974414300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/29/2021 15:50:47",
"content": "do you have any idea about part a?",
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},
{
"id": 903732657362452500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/29/2021 15:50:56",
"content": "i mean how to start or any thinking about it",
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},
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"id": 903732710416195600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/29/2021 15:51:08",
"content": "can you think of a way given some amount of money how many things you can buy?",
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"content": "@flip flop Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | a6df8a8d7cf64d64be8cd2a0a5cbba90 |
1,336 | [
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"author_id": 805217272087838700,
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"timestamp": "11/09/2021 21:21:34",
"content": "Available help channel!",
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"id": 907817714238779400,
"author_id": 805217272087838700,
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"content": "no",
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"content": "cause 2x!=x^2",
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"content": "in the case you have x^2",
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"id": 907818724533338100,
"author_id": 652336711325712400,
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"timestamp": "11/09/2021 21:27:30",
"content": "if there’s an x^2",
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"id": 907818781357789300,
"author_id": 652336711325712400,
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"timestamp": "11/09/2021 21:27:43",
"content": "no amount of xs will turn an x into an x^2",
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"content": "spread out is vague",
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"content": "you'd see an x^2",
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"content": "or x*x",
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"content": "yeah, the definition of exponents help with exponents",
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"content": "Channel closed",
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] | help-10 | bce3dc52d298468a9e80e803dc8f9034 |
1,337 | [
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"id": 954752134396645500,
"author_id": 855362529596670000,
"author_name": "Rice Cooker",
"timestamp": "03/19/2022 10:44:07",
"content": "i need help again but with my trig hw 💀",
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"content": "idk how to do this",
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"content": "well what's the range of sin",
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"content": "0 to 1?",
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"content": "not quite",
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"content": "oof",
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"timestamp": "03/19/2022 10:50:54",
"content": "hm..",
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"timestamp": "03/19/2022 10:51:19",
"content": "ohh -1 to 1?",
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"content": "if you put those into the equation for r what do you get?",
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"content": "8 and 0",
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"content": "yes",
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"timestamp": "03/19/2022 10:52:59",
"content": "so i put it in as [0,8] ?",
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"content": "Yes",
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"timestamp": "03/19/2022 10:54:26",
"content": "oh okk so then how can i find the symmetry for sin?",
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"timestamp": "03/19/2022 10:55:31",
"content": "it gives me options",
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"content": "well sine is symmetrical around when it is max and when it is min",
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"content": "So first is sine symmetrical about the x axis?",
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"content": "oh so i just have to find the middle of the maximum and minimum value(?)",
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"content": "well the thing is that r is symmetrical at the same points as sine",
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"content": "this using polar coordinates translates into a symmetry axis",
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"content": "blue is r",
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"content": "orange is sine",
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"content": "oh",
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"timestamp": "03/19/2022 11:06:06",
"content": "Now we need to test those 3 things",
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"timestamp": "03/19/2022 11:06:25",
"content": "see how it's symmetrical around those max and mins",
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"timestamp": "03/19/2022 11:06:30",
"content": "because they go on forever",
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"timestamp": "03/19/2022 11:06:37",
"content": "towards either side",
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"content": "ohh",
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"timestamp": "03/19/2022 11:08:10",
"content": "sin is symmetrical over x axis?",
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"timestamp": "03/19/2022 11:08:53",
"content": "does the top reflect the bottom?",
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"timestamp": "03/19/2022 11:09:59",
"content": "do you know what the r means?",
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"timestamp": "03/19/2022 11:10:34",
"content": "i think so (?)",
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"timestamp": "03/19/2022 11:10:44",
"content": "no i dont 💀",
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"content": "r means the distance from the origin",
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"content": "in polar coordinates",
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"content": "ohhh",
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"timestamp": "03/19/2022 11:11:21",
"content": "in this case they gave r a function",
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"timestamp": "03/19/2022 11:11:32",
"content": "and the idea is to find the symmetry of the shape",
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"timestamp": "03/19/2022 11:11:45",
"content": "that is given with that specific r",
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"timestamp": "03/19/2022 11:11:56",
"content": "ohh icic",
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"timestamp": "03/19/2022 11:12:48",
"content": "so r would be symmetric over the y axis since r's the distance from the origin (?)",
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"timestamp": "03/19/2022 11:15:02",
"content": "i can show you the graph with that r",
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"timestamp": "03/19/2022 11:16:15",
"content": "ooooo",
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"timestamp": "03/19/2022 11:22:14",
"content": "r itself doesn't have any symmetry in the possible options unlike sine because it has been moved up by 4",
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"timestamp": "03/19/2022 11:24:09",
"content": "o",
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"timestamp": "03/19/2022 11:39:10",
"content": "@Rice Cooker Has your question been resolved?",
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"timestamp": "03/19/2022 11:39:14",
"content": "i think ive figured it out tysm again!",
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"content": "Channel closed",
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] | help-10 | 7734f85df9244d02b771d8fc15378e99 |
1,338 | [
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"author_name": "Sirius",
"timestamp": "03/19/2022 11:47:24",
"content": "Hello, all. I have a question in discrete mathematics about formal languages. I have tried to solve it, but I am not really sure if this is the correct way to do it or if my answer is right. Here is my question, and I will post my solution shortly. My concern is only part b",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 11:48:26",
"content": "#proofs-and-logic might be better",
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"id": 954768364847382500,
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"timestamp": "03/19/2022 11:48:36",
"content": "#foundations or this idk which",
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"timestamp": "03/19/2022 11:49:26",
"content": "Okay. Thank you for the heads up!",
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"content": ".close",
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] | help-10 | 1c031540222d49a59f9e4cc7a3e1a32f |
1,339 | [
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"content": "help",
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"id": 954772432055582800,
"author_id": 898326894376792000,
"author_name": "Babloo-_-",
"timestamp": "03/19/2022 12:04:46",
"content": "Idk how 2 bisectors can divide a side into three parts",
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"content": "@Babloo-_- Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 7a99c5e152a34d189f9bda91b9033f6f |
134 | [
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"timestamp": "01/18/2022 10:58:09",
"content": "Available help channel!",
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},
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"id": 933028928354914300,
"author_id": 805217272087838700,
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"timestamp": "01/18/2022 11:03:51",
"content": "Pinned a message.",
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"timestamp": "01/18/2022 11:03:55",
"content": "Does this look right",
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"id": 933029201659985900,
"author_id": 456226577798135800,
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"timestamp": "01/18/2022 11:04:56",
"content": "yes",
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"id": 933029230533566500,
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"author_name": "euridyce",
"timestamp": "01/18/2022 11:05:03",
"content": "Thanks",
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"id": 933029235717726200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/18/2022 11:05:04",
"content": "well done",
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"id": 933029278411542500,
"author_id": 456226577798135800,
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"timestamp": "01/18/2022 11:05:14",
"content": "sure",
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"id": 933029307821985800,
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"timestamp": "01/18/2022 11:05:21",
"content": ".closs",
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"id": 933029321130537000,
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"author_name": "euridyce",
"timestamp": "01/18/2022 11:05:25",
"content": ".close",
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"id": 933029322409775100,
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"content": "Channel closed",
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] | help-10 | 43598f88933e456bb86b97c8cee87cf1 |
1,340 | [
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"content": "Available help channel!",
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"id": 954786371636174800,
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"author_name": "Mohad",
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"content": "$\\int \\frac{1+\\sin(x)}{1+\\cos(x)}dx$",
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"author_name": "TeXit",
"timestamp": "03/19/2022 13:00:12",
"content": "**Mohad**",
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"author_name": "Mohad",
"timestamp": "03/19/2022 13:00:17",
"content": "any ideas how to integrate this?",
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"author_id": 426443702932733950,
"author_name": "Pluton",
"timestamp": "03/19/2022 13:02:53",
"content": "Product rule?",
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"id": 954787114288029700,
"author_id": 704243139116007600,
"author_name": "quevorak",
"timestamp": "03/19/2022 13:03:07",
"content": "try using a trig identity for sin",
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"author_id": 193942262336454660,
"author_name": "KurtDee",
"timestamp": "03/19/2022 13:03:21",
"content": "Substitution?",
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"author_name": "quevorak",
"timestamp": "03/19/2022 13:03:23",
"content": "one where you can convert sin into something with cosines",
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"timestamp": "03/19/2022 13:03:34",
"content": "I don’t think that will work",
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"timestamp": "03/19/2022 13:07:09",
"content": "oh actually",
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"author_name": "quevorak",
"timestamp": "03/19/2022 13:07:36",
"content": "use this form of substitution",
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"author_name": "Mohad",
"timestamp": "03/19/2022 13:11:53",
"content": "I reached $1/2(1+t)^2$",
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"timestamp": "03/19/2022 13:11:56",
"content": "**Mohad**",
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"timestamp": "03/19/2022 13:12:10",
"content": "integral of it",
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"timestamp": "03/19/2022 13:12:12",
"content": "is that right?",
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"timestamp": "03/19/2022 13:27:12",
"content": "@Mohad Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | 8e67d7a8fcdd4ce7b3f571d77079ce2a |
1,341 | [
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"timestamp": "03/19/2022 13:28:54",
"content": "Available help channel!",
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{
"id": 954794629251891200,
"author_id": 337521105910628350,
"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/19/2022 13:32:58",
"content": "So I'm supposed to find the m for which this equation has exactly one solution, I know how to solve it, more or less, but it's hard to check the answers for stuff like this online so could someone tell me if the m values are supposed to be 5/7, 3 and 1?",
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"content": "Pinned a message.",
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"author_name": "Erzis",
"timestamp": "03/19/2022 13:34:25",
"content": "what equation?",
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"timestamp": "03/19/2022 13:36:03",
"content": "Oh wait, I was supposed to send a screenshot, one second.",
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"timestamp": "03/19/2022 13:36:59",
"content": "",
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"id": 954795684803014800,
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"author_name": "flr",
"timestamp": "03/19/2022 13:37:10",
"content": "ok so I got dis",
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"id": 954795844811509900,
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"author_name": "flr",
"timestamp": "03/19/2022 13:37:48",
"content": "so you are generally supposed to be confident enough to not \"check stuff online\"",
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"id": 954795913589706900,
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"author_name": "flr",
"timestamp": "03/19/2022 13:38:05",
"content": "so do let us know what type of equation this is",
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"id": 954796191307165700,
"author_id": 337521105910628350,
"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/19/2022 13:39:11",
"content": "Quadratic with a parameter.",
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"id": 954796933938020500,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:42:08",
"content": "great",
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},
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"id": 954797111373869000,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:42:50",
"content": "do you know which quantity determines whether the eq of this type has a solution?",
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"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/19/2022 13:43:47",
"content": "Yeah delta.",
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"id": 954797600098373600,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:44:47",
"content": "determinant",
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"id": 954797603885809700,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:44:48",
"content": "ok",
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"id": 954797640925728800,
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"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/19/2022 13:44:56",
"content": "If delta = 0 it has 1 solution, if the thing before x^2 is equal to 0 it also has 1 solution.",
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"id": 954797773423779800,
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"author_name": "flr",
"timestamp": "03/19/2022 13:45:28",
"content": "we generally assume that coefficient at X^2 is not 0, so good point",
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"id": 954797940961075200,
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"author_name": "flr",
"timestamp": "03/19/2022 13:46:08",
"content": "so what you need to find is when delta = 0 or m-1=0",
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"id": 954797983118016500,
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"author_name": "flr",
"timestamp": "03/19/2022 13:46:18",
"content": "which gives you m=1",
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"id": 954797994350346400,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:46:21",
"content": "and ?",
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"id": 954798036721209300,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:46:31",
"content": "you say 5/7 and 3",
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"id": 954798080614629400,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:46:41",
"content": "if you have a working out you can show it",
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"id": 954798092526452900,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:46:44",
"content": "and we are done",
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"id": 954800763543118000,
"author_id": 820738377962750000,
"author_name": "flr",
"timestamp": "03/19/2022 13:57:21",
"content": "bruh",
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},
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"timestamp": "03/19/2022 13:57:41",
"content": "handwriting",
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"timestamp": "03/19/2022 13:57:47",
"content": "I will try to read",
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"author_id": 337521105910628350,
"author_name": "𝕁𝕒𝕕𝕖IsPink",
"timestamp": "03/19/2022 13:58:10",
"content": "I mean, you can just tell me what the soution is, that's why I didn't send it right away. :'3",
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"content": "b^2 - 4ac",
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"content": "b= 3m-1\na=(m-1)^2\nc=4",
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"timestamp": "03/19/2022 13:58:56",
"content": "writing for myself",
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"timestamp": "03/19/2022 13:58:59",
"content": "this is quicker",
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"timestamp": "03/19/2022 13:59:01",
"content": "one sec",
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"timestamp": "03/19/2022 14:02:12",
"content": "9m^2 - 6m +1 - 16( m^2 -2m +1 )",
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"id": 954802105959456900,
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"timestamp": "03/19/2022 14:02:41",
"content": "-7m^2 +26m-15",
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"timestamp": "03/19/2022 14:02:57",
"content": "-7m^2 +26m-15=0",
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"timestamp": "03/19/2022 14:03:57",
"content": "checking with Wolfram, it's 5/7 and 3",
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"timestamp": "03/19/2022 14:04:04",
"content": "so well done @𝕁𝕒𝕕𝕖IsPink",
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"timestamp": "03/19/2022 14:04:11",
"content": "you had absolutely no problem",
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"timestamp": "03/19/2022 14:05:30",
"content": "Thanks for your help either way. ^w^",
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"timestamp": "03/19/2022 14:07:39",
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] | help-10 | 5c0d74fdbb744300a9ba3401e4ac3ae3 |
1,342 | [
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"content": "How would you solve this if you never learned the cubic formula?",
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"content": "Have you done polynomial long division?",
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"content": "I have a given linear factor",
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"content": "Do I divide by it and find other factors?",
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"content": "If you're given a factor, then yes divide it",
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"content": "Because then you'll end up with a quadratic and you can factor that",
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"content": "Okay that clears it up, thank you so much!",
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] | help-10 | 4c1adbb9881a4250b1a8095e237686f6 |
1,343 | [
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"content": "what does the second part of question b mean \"determine the concavity...\"",
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"content": "do you know what concavity is?",
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"content": "yeah",
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"timestamp": "03/19/2022 14:43:29",
"content": "is second derivative positive or negative",
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"timestamp": "03/19/2022 14:43:42",
"content": "concave up concave down",
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"content": "so what issue are you having exactly",
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"timestamp": "03/19/2022 14:43:52",
"content": "of all solution curves",
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"content": "dont know what that means",
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"timestamp": "03/19/2022 14:44:50",
"content": "in the 2nd quadrant",
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"content": "what does that mean",
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"timestamp": "03/19/2022 14:45:59",
"content": "recall what the 2nd quadrant in a graph is",
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"timestamp": "03/19/2022 14:46:07",
"content": "yeah i know the top left",
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"timestamp": "03/19/2022 14:46:08",
"content": "but",
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"timestamp": "03/19/2022 14:46:21",
"content": "i still dont know what im looking for",
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"timestamp": "03/19/2022 14:46:41",
"content": "wdym solution curves in second quadrant",
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"timestamp": "03/19/2022 14:46:48",
"content": "solution curves in general",
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"timestamp": "03/19/2022 14:47:19",
"content": "it's just a curve that can be a solution lol",
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"author_id": 200013547491688450,
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"timestamp": "03/19/2022 14:47:26",
"content": "very literal term",
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"author_name": "Deleted User",
"timestamp": "03/19/2022 14:47:35",
"content": "i really dont get it",
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"id": 954813443591012400,
"author_id": 200013547491688450,
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"timestamp": "03/19/2022 14:47:44",
"content": "what exactly is the equation",
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"timestamp": "03/19/2022 14:48:00",
"content": "dy/dx = 2x - y",
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"timestamp": "03/19/2022 14:48:07",
"content": "alright",
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"timestamp": "03/19/2022 14:48:12",
"content": "so determine the 2nd derivative",
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"timestamp": "03/19/2022 14:48:15",
"content": "i did",
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"id": 954813588181241900,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/19/2022 14:48:19",
"content": "and what is that?",
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"timestamp": "03/19/2022 14:48:25",
"content": "2 - 2x + y",
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"timestamp": "03/19/2022 14:48:29",
"content": "alright",
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"id": 954813672327356400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/19/2022 14:48:39",
"content": "so you want to know when that is positive and when that is negative",
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"timestamp": "03/19/2022 14:48:42",
"content": "that'll determine concavity, yeah?",
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"author_name": "Deleted User",
"timestamp": "03/19/2022 14:48:56",
"content": "oh so i just need the ranges?",
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"timestamp": "03/19/2022 14:49:05",
"content": "well think about Q2 for a second",
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"id": 954813817362202800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "03/19/2022 14:49:13",
"content": "what do you know about x and y values in Q2",
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"author_name": "Deleted User",
"timestamp": "03/19/2022 14:49:17",
"content": "like positive from - 2 to -1 or whatever?",
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"timestamp": "03/19/2022 14:49:35",
"content": "idk",
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"timestamp": "03/19/2022 14:49:38",
"content": "well yes, but your function is a lil different",
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"timestamp": "03/19/2022 14:49:44",
"content": "you don't know anything about x and y in q2?",
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"timestamp": "03/19/2022 14:49:47",
"content": "look at a graph maybe?",
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"id": 954813970403958900,
"author_id": 200013547491688450,
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"timestamp": "03/19/2022 14:49:50",
"content": "pick a point in q2?",
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"timestamp": "03/19/2022 14:49:59",
"content": "thats a slope field",
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"timestamp": "03/19/2022 14:50:33",
"content": "i understand that",
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"timestamp": "03/19/2022 14:50:44",
"content": "i'm talking about any graph",
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"timestamp": "03/19/2022 14:50:45",
"content": "function always decreasing in quad 2",
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"id": 954814232623448000,
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"timestamp": "03/19/2022 14:50:52",
"content": "not the function",
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"content": "what is true about x and y in Q2",
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"id": 954814328249405400,
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"content": "they exist",
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"content": "pick a point in Q2",
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"timestamp": "03/19/2022 14:51:36",
"content": "that's in Q2?",
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"content": "and what's similar about y",
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"timestamp": "03/19/2022 14:52:13",
"content": "ones negative and ones positive",
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"content": "so x is always negative in Q2 and y is always positive",
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"content": "so... looking back at your 2nd derivative",
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"content": ".",
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"timestamp": "03/19/2022 14:52:53",
"content": "plugging in negative x and positive y, what will the 2nd derivative ***always*** be?",
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"timestamp": "03/19/2022 14:53:14",
"content": "negative",
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"content": "no",
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"content": "if no then what :bleak:",
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"content": "it cant always be negative",
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"content": "a negative x, positive y",
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"content": "positive",
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"content": "oh",
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"content": "yep",
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"content": "which means concavity is always...?",
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"timestamp": "03/19/2022 14:55:09",
"content": "must have an iq of 70",
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"content": "concavity must have an iq of 70, yes",
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"content": "does all solution curves mean all possible graphs with the derivative given",
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"content": "im bad at math in the stupidest ways",
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"content": "how do u find the general solution",
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"content": "im having trouble isolating the y variable",
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"content": "@Deleted User Has your question been resolved?",
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] | help-10 | 67ac3963575146979e8c73cc0a63fbf5 |
1,344 | [
{
"id": 954826608009678800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 15:40:03",
"content": "Available help channel!",
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 15:51:47",
"content": "How can I solve arccos(1/8) without a calculator",
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"content": "Pinned a message.",
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"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 15:53:15",
"content": "so if you know a cos that makes 1/2",
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"id": 954829964082028500,
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"timestamp": "03/19/2022 15:53:23",
"content": "can you figure out a cos that makes half of that 🤔",
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},
{
"id": 954830013306376300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 15:53:35",
"content": "to be more precise",
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},
{
"id": 954830031979442300,
"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:53:39",
"content": "cos x = 1/2",
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},
{
"id": 954830046944702600,
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"timestamp": "03/19/2022 15:53:43",
"content": "cos ? = 1/4",
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},
{
"id": 954830072202805400,
"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:53:49",
"content": "hmmmmmm",
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{
"id": 954830093727981600,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 15:53:54",
"content": "hold on",
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},
{
"id": 954830108416426100,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 15:53:57",
"content": "lemme think",
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},
{
"id": 954830139391373300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 15:54:05",
"content": "I have some doubts you can get there.",
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"timestamp": "03/19/2022 15:54:12",
"content": "Uhhh you could try some geometry",
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"timestamp": "03/19/2022 15:54:35",
"content": "or maybe some trig identity that involves 4cos",
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{
"id": 954830319633203200,
"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:54:48",
"content": "I think the triple angle for cos does?",
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 15:54:48",
"content": ":sadcat:",
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"id": 954830358241751200,
"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:54:57",
"content": "yh that sounds like the way",
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"timestamp": "03/19/2022 15:55:31",
"content": "",
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"id": 954830511312879600,
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"timestamp": "03/19/2022 15:55:33",
"content": "ah no not quite",
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"id": 954830548696719400,
"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:55:42",
"content": "🤷♂️",
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"id": 954830603868598300,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 15:55:55",
"content": "maybe double angle is good enough if u play around with it . ..",
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"id": 954830839450075100,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 15:56:52",
"content": "how will that work though",
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},
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"id": 954830874216636500,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 15:57:00",
"content": "idk - u play around with some algebra",
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"id": 954830899306983400,
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"timestamp": "03/19/2022 15:57:06",
"content": "plug in cos x = 1/2",
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{
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"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:57:18",
"content": "or 1/8",
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},
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"timestamp": "03/19/2022 15:57:31",
"content": "no, i dont see this immediately working",
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"id": 954831112469881000,
"author_id": 321445119171756000,
"author_name": "Shuri2060",
"timestamp": "03/19/2022 15:57:57",
"content": ",w arccos(1/8)",
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"timestamp": "03/19/2022 15:58:01",
"content": "Results provided by WolframAlpha",
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"id": 954831170741338100,
"author_id": 321445119171756000,
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"timestamp": "03/19/2022 15:58:11",
"content": "doesnt appear to be exact.",
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"timestamp": "03/19/2022 15:58:25",
"content": "so its unlikely you could, then.",
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 16:01:20",
"content": "OH nevermind",
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"id": 954831975204651100,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "03/19/2022 16:01:22",
"content": "I am dumb",
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"content": "I didn't have to do this",
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"timestamp": "03/19/2022 16:01:40",
"content": "thanks a lot for your help @Shuri2060",
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"content": ".close",
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] | help-10 | f64f10fabd4747a2af40a5a6951125a3 |
1,345 | [
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"content": "@Skull Has your question been resolved?",
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"content": "Why do you say it is wrong?",
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"author_name": "Reinout",
"timestamp": "03/19/2022 16:27:05",
"content": "How can i interpret a graph with percentiles on the x axis?",
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"timestamp": "03/19/2022 16:27:45",
"content": "cuz someone told me its wrong",
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"content": "It seems correct to me",
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"author_name": "Mat",
"timestamp": "03/19/2022 16:30:02",
"content": "Ask them a value of x that doesn't line up with your answer maybe",
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"author_name": "Mat",
"timestamp": "03/19/2022 16:30:09",
"content": "So we'll know",
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"id": 954841594039783400,
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"author_name": "Skull",
"timestamp": "03/19/2022 16:39:36",
"content": "its supposed to be -pi/2 < x < -pi/3 or pi/3 < x < pi/2",
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"timestamp": "03/19/2022 16:44:11",
"content": "@Helpers",
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"id": 954843898029670500,
"author_id": 551807466631987200,
"author_name": "Mat",
"timestamp": "03/19/2022 16:48:45",
"content": ",w sum k=0 to inf (2cos(1/2(pi/2+pi/3)))^k",
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"author_name": "Mat",
"timestamp": "03/19/2022 16:49:34",
"content": "It converges also for a value that is not in those intervals though",
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"id": 954844272702656500,
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"author_name": "Mat",
"timestamp": "03/19/2022 16:50:14",
"content": ",w sum k=0 to inf (2cos(1/2(pi/2+2pi/3)))^k",
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"id": 954844285256229000,
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"timestamp": "03/19/2022 16:50:17",
"content": "Results provided by WolframAlpha",
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"id": 954845301984878700,
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"timestamp": "03/19/2022 16:54:20",
"content": "im so confused",
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"timestamp": "03/19/2022 16:54:37",
"content": "mark scheme says this",
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"author_name": "Mat",
"timestamp": "03/19/2022 16:56:12",
"content": "They are taking only positive values of cos(x), would you know why?\nWhat is A1A1?",
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"content": "a1a1 is just marks awarded dw about it",
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"timestamp": "03/19/2022 17:03:23",
"content": "but ye idk why they taking only positive values",
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"timestamp": "03/19/2022 17:03:45",
"content": "should go till -1/2",
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"author_name": "Mat",
"timestamp": "03/19/2022 17:04:13",
"content": "Maybe it is because of part a) of the question?",
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"timestamp": "03/19/2022 17:05:33",
"content": "bruhhh it is because of that",
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"timestamp": "03/19/2022 17:05:46",
"content": "i didn't see the domain",
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"timestamp": "03/19/2022 17:10:28",
"content": "@Mat thanks for ur help",
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"timestamp": "03/19/2022 17:10:46",
"content": "Np!",
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"timestamp": "03/19/2022 17:10:55",
"content": ".close",
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"content": "Channel closed",
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] | help-10 | 17c6cf6e21e84d38a7b3f980d8a062f2 |
1,346 | [
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"content": "I need help for ex3 and 4.",
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"content": "@Hmz Has your question been resolved?",
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"content": "@Hmz Has your question been resolved?",
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"content": "Channel closed",
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] | help-10 | c4a06442032b427895b95b9a0225572b |
1,347 | [
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] | help-10 | 4f060514dc3949b4ba0c55f1ab4abae9 |
1,348 | [
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] | help-10 | 50860e2b8fd7413c99397a660da3340e |
1,349 | [
{
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"timestamp": "03/19/2022 21:03:20",
"content": "how does this make any sense?",
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"timestamp": "03/19/2022 21:03:43",
"content": "oh wait wrong ss",
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"id": 954908192368889900,
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"timestamp": "03/19/2022 21:04:14",
"content": "this",
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"id": 954908361223200800,
"author_id": 456226577798135800,
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"timestamp": "03/19/2022 21:04:54",
"content": "the first one is a partial sum as the index approaches infinity",
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"timestamp": "03/19/2022 21:05:15",
"content": "and the second one is only evaluating the expression as the variable n approaches infinity",
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"timestamp": "03/19/2022 21:05:18",
"content": "they are not the same",
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"timestamp": "03/19/2022 21:05:27",
"content": "what is it am i getting wrong?",
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"timestamp": "03/19/2022 21:07:55",
"content": "Partial sums and single expressions are two different things",
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"timestamp": "03/19/2022 21:08:22",
"content": "yea i know as far as i understood the whole thing partial sums are the sequences value at an specific index",
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"timestamp": "03/19/2022 21:08:43",
"content": "series*",
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"timestamp": "03/19/2022 21:08:53",
"content": "Then what's your question",
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"timestamp": "03/19/2022 21:09:04",
"content": "why are they treating it as an equation",
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"timestamp": "03/19/2022 21:09:06",
"content": "they are not equal",
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"timestamp": "03/19/2022 21:09:34",
"content": "I think they’re saying a_n equals that fraction, and this text writes that lim s_n equals lim a_n",
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"timestamp": "03/19/2022 21:09:41",
"content": "Which is not the case",
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"timestamp": "03/19/2022 21:10:25",
"content": "Show the whole problem",
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"timestamp": "03/19/2022 21:10:33",
"content": "sure",
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"timestamp": "03/19/2022 21:10:46",
"content": "its this",
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"timestamp": "03/19/2022 21:10:47",
"content": "https://tutorial.math.lamar.edu/Solutions/CalcII/ConvergenceOfSeries/Prob3.aspx",
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"timestamp": "03/19/2022 21:11:35",
"content": "Oh that’s fine",
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"timestamp": "03/19/2022 21:11:43",
"content": "That fraction *is* the nth partial sum",
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"timestamp": "03/19/2022 21:12:58",
"content": "how? to me that actually looks like the nth sequence term",
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"timestamp": "03/19/2022 21:13:15",
"content": "They tell you it is",
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"timestamp": "03/19/2022 21:13:27",
"content": "You're not tasked to find out what a_n is",
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"timestamp": "03/19/2022 21:13:38",
"content": "They don’t tell you what a_n actually is",
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"timestamp": "03/19/2022 21:14:03",
"content": "They do tell you its nth partial sum though",
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"timestamp": "03/19/2022 21:14:07",
"content": "Which is that fraction thing",
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"timestamp": "03/19/2022 21:15:03",
"content": "oh wait is that only the formula to get the sum at a certain index",
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"timestamp": "03/19/2022 21:15:25",
"content": "Yes, that’s the nth partial sum",
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"id": 954911021846380500,
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"timestamp": "03/19/2022 21:15:28",
"content": "AHHHHH",
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"timestamp": "03/19/2022 21:15:31",
"content": "Lolll",
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"timestamp": "03/19/2022 21:15:31",
"content": "thanks",
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"timestamp": "03/19/2022 21:15:44",
"content": "thanks a lot of both of you",
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"timestamp": "03/19/2022 21:15:49",
"content": "No problem lol",
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"timestamp": "03/19/2022 21:15:51",
"content": ".close",
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] | help-10 | 3df916e3bfdd42d3bc55388ed3f7fdcd |
135 | [
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"content": "wait is it that 1/x approaches 0 and cos x will at max be 1? so 0?",
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"timestamp": "01/18/2022 12:06:52",
"content": "Have you an intuitive idea",
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"content": "of what the graph will look like",
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"timestamp": "01/18/2022 12:07:30",
"content": "ooh nice, thanks",
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] | help-10 | a83fc663aa934ed581f01238f8e398f1 |
1,350 | [
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"author_name": "CollinMK",
"timestamp": "03/19/2022 21:21:04",
"content": "I need more guidance here. Why is this not 1^inf?. Why is it not just 1? And because of this, how do I best get this into a form where I can apply L'h?",
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"timestamp": "03/19/2022 21:30:22",
"content": "1 + 6/x = (x + 6)/x. you could let the limit be equal to L and take the log of that.",
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"timestamp": "03/19/2022 21:33:18",
"content": "or wait you could actually just use the exponential limit (if you know that)",
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"timestamp": "03/19/2022 21:34:08",
"content": "$e^x = \\lim_{n\\to\\infty} \\qty(1 + \\frac{x}{n})^n$",
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"timestamp": "03/19/2022 21:34:10",
"content": "**Navix**",
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"author_name": "Hexicle",
"timestamp": "03/19/2022 21:37:34",
"content": "It is an indeterminant form of the form 1^inf, the problem is that it isn't the number 1, it is a number getting closer to 1. If it were actually the number 1, this would not arise.",
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"timestamp": "03/19/2022 21:38:20",
"content": "If you want to use L'Hopital's rule, you would rewrite the limit as $e^{\\lim_{x\\rightarrow \\infty} \\frac{\\ln(1 + \\frac{6}{x} )}{\\frac{16}{x}}}$",
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"timestamp": "03/19/2022 21:39:41",
"content": "**Hexicle**",
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"author_name": "CollinMK",
"timestamp": "03/19/2022 21:40:57",
"content": "Thanks all. Gonna try to figure this out with these pointers. Im a bit out of my bounds here.",
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"timestamp": "03/19/2022 21:47:24",
"content": "Got the answer, not confident I could replicate a similar problem without guidance yet. But very thankful.",
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"timestamp": "03/19/2022 21:47:48",
"content": "Mind telling us which approach you used @CollinMK",
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"timestamp": "03/19/2022 21:48:13",
"content": "Good job, nevertheless! :3",
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"timestamp": "03/19/2022 21:48:50",
"content": "I ended up using the L'H because this lesson was focused on taht, so I was assuming thats what they were expecting me to use. 🙂 I also dont think ive explicitly been taught exponential limit.",
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"timestamp": "03/19/2022 21:48:58",
"content": "Appreciate the options regardless",
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] | help-10 | a1e4365bf4704fdabf72419ed8a123d9 |
1,351 | [
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"id": 954921672459292700,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 21:57:48",
"content": "Does the tabular/DI method work on integrals where neither function can be differentiated to 0?",
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"timestamp": "03/19/2022 21:59:27",
"content": "if used appropriately yes",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/19/2022 21:59:29",
"content": "Yes, however you need to know when to stop it yourself, Tabular is just a quick way of doing IBP repeatedly",
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"timestamp": "03/19/2022 22:00:10",
"content": "(and depends on the integral)",
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"author_name": "Raava",
"timestamp": "03/19/2022 22:01:22",
"content": "You’d stop after it gives you the original function then just use algebra to move it to the other side so it no longer repeats right?",
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"author_name": "Raava",
"timestamp": "03/19/2022 22:02:36",
"content": "Also, I saw someone use the tabular method for ln(x) but they did something weird where by the end instead of multiplying diagonally they multiplied across and I saw any example online of some different integral where they did that at the end as well.",
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"timestamp": "03/19/2022 22:02:57",
"content": "I thought you were always supposed to go diagonally",
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"timestamp": "03/19/2022 22:05:12",
"content": "yes",
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"timestamp": "03/19/2022 22:05:45",
"content": "Though I'd frankly not use Tabular for stuff like ln(x), or e^xsin(x) or cos(x)",
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"id": 954923792046637000,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:06:13",
"content": "Why not?",
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"id": 954923951031722100,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:06:51",
"content": "Just go the long way for those?",
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},
{
"id": 954924009722642400,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/19/2022 22:07:05",
"content": "Yeah",
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},
{
"id": 954924127171535000,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:07:33",
"content": "Even though I shouldn’t use it for those, I’m still curious as to why he went across at the end",
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},
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"id": 954924178367197200,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/19/2022 22:07:45",
"content": "ask them",
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},
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"id": 954924196679520300,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:07:50",
"content": "I can’t",
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},
{
"id": 954924210424254500,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:07:53",
"content": "It was a video",
"attachments": [],
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},
{
"id": 954924493275562000,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:09:00",
"content": "But I did see someone else do the same thing online",
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"id": 954924621361201300,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:09:31",
"content": "I’m very confused as to why didn’t generate the next u and dv so they could go diagonally",
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},
{
"id": 954926779779407900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/19/2022 22:18:05",
"content": "that's how you stop when you want in tabular",
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},
{
"id": 954926883441619000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/19/2022 22:18:30",
"content": "and they stopped there because x * 1/x = 1 which is trivially integratable",
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"id": 954927008670974000,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:19:00",
"content": "So if you don’t feel like continuing you just go across?",
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"id": 954927725464912000,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:21:51",
"content": "Thanks for the help!",
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},
{
"id": 954927737993314300,
"author_id": 371350012661334000,
"author_name": "Raava",
"timestamp": "03/19/2022 22:21:54",
"content": ".close",
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},
{
"id": 954927739163525100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 22:21:54",
"content": "Channel closed",
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}
] | help-10 | 62cce35a3da643d499167c33d5e8d86b |
1,352 | [
{
"id": 954927993007005700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 22:22:55",
"content": "Available help channel!",
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},
{
"id": 954930988633456600,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:34:49",
"content": "Yo",
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},
{
"id": 954930990684459000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 22:34:49",
"content": "Pinned a message.",
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"id": 954931091578441700,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:35:13",
"content": "So it says a limit may fail to exist when the function increases or decreases without a bound. What does this mean? An asymptote?",
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},
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"id": 954931543317549000,
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"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:01",
"content": "this is an example, yea",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:08",
"content": "you can also consider just like, limits at infinity",
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"id": 954931636745683100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:23",
"content": "so $\\lim _{x \\to 0^-} \\frac 1 x$",
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"id": 954931650964381700,
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"author_name": "TeXit",
"timestamp": "03/19/2022 22:37:27",
"content": "**jan Niku (Shuri for Honorable)**",
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"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:31",
"content": "this fails to exist because its an asymptote",
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},
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"id": 954931714113830900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:42",
"content": "whereas something like $\\lim _{x \\to \\infty} x$",
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},
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"id": 954931725962731500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/19/2022 22:37:45",
"content": "**jan Niku (Shuri for Honorable)**",
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"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:52",
"content": "doesnt exist, just because, you know",
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"id": 954931769046622200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:37:55",
"content": "obvious reasons",
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"id": 954931903817994200,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:38:27",
"content": "Hmm",
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"id": 954931927658405900,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:38:33",
"content": "Alright then what about",
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"id": 954931985241997400,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:38:47",
"content": "'The function oscillates between 2 fixed values'",
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"id": 954932059674148900,
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"author_name": "kilmx",
"timestamp": "03/19/2022 22:39:04",
"content": "Thats just like a jump discontinuity right",
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"id": 954932084470849500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:39:10",
"content": "nah",
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"id": 954932113545769000,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:39:17",
"content": "Huh",
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},
{
"id": 954932126028017700,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:39:20",
"content": "Whats that mean then",
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},
{
"id": 954932171339071500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:39:31",
"content": "this is probably limits at infinity right",
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"id": 954932197054349300,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:39:37",
"content": "Nope",
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},
{
"id": 954932227509219300,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:39:44",
"content": "Just reasons why a limit may not exist",
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},
{
"id": 954932227895079000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:39:44",
"content": "well i mean, the oscillations",
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},
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"id": 954932241249747100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:39:48",
"content": "yea",
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},
{
"id": 954932289954021400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:39:59",
"content": "so it doesnt make sense for a function to oscillate endlessly between two values at a point",
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},
{
"id": 954932315467956200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:05",
"content": "well there are some esoteric examples of this",
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},
{
"id": 954932359386505200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:16",
"content": "but probably more like",
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},
{
"id": 954932402873045000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:26",
"content": "$\\lim _{ \\theta \\to \\infty} \\sin \\theta$",
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},
{
"id": 954932415284007000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:29",
"content": "whats it equal?",
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},
{
"id": 954932417221771300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/19/2022 22:40:30",
"content": "**jan Niku (Shuri for Honorable)**",
"attachments": [
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{
"id": 954932487946129400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:46",
"content": "this is more oscillation in generally, this could be made to oscillate between points",
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},
{
"id": 954932510855409700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:52",
"content": "say by like",
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"id": 954932517687930900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:40:54",
"content": ":thonk:",
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"id": 954932535106891900,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:40:58",
"content": "Thats considered undefined right",
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{
"id": 954932562797670500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:04",
"content": "well, regardless, you could create a continuous function",
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"id": 954932585480470500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:10",
"content": "think of a sawtooth wave",
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},
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"id": 954932627251527700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:20",
"content": "yea, can you tell why?",
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"id": 954932652442529800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:26",
"content": "whats it approach as theta gets big",
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"id": 954932693387317200,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:41:35",
"content": "Cuz it approaches an undefined point, that shit keeps goin",
"attachments": [],
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},
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"id": 954932726773973100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:43",
"content": "yea shit keeps goin",
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},
{
"id": 954932742292906000,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:41:47",
"content": "https://tenor.com/view/speed-wheelchair-me-running-late-gif-14178485",
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},
{
"id": 954932747137327100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:48",
"content": "its just oscillating forever",
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},
{
"id": 954932754481561600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:50",
"content": "no limit",
"attachments": [],
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},
{
"id": 954932771166511100,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:41:54",
"content": "This be the limit",
"attachments": [],
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},
{
"id": 954932780947632100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:56",
"content": "lol",
"attachments": [],
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},
{
"id": 954932792855265300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:41:59",
"content": "push it to the limit",
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},
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"id": 954932800602112000,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:42:01",
"content": "Accurate representation",
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},
{
"id": 954932824530649100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/19/2022 22:42:07",
"content": "https://tenor.com/view/stalin-no-limit-weird-wtf-cmon-gif-5483812",
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},
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"id": 954932849990070300,
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"author_name": "kilmx",
"timestamp": "03/19/2022 22:42:13",
"content": "Kek",
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},
{
"id": 954932857560776800,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:42:15",
"content": "Thx man",
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},
{
"id": 954932885092180000,
"author_id": 931694306715131900,
"author_name": "kilmx",
"timestamp": "03/19/2022 22:42:21",
"content": ".close",
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},
{
"id": 954932887407431700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 22:42:22",
"content": "Channel closed",
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}
] | help-10 | b90efab789bd4c65965b153d0afa4da1 |
1,353 | [
{
"id": 954933514065829900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/19/2022 22:44:51",
"content": "Available help channel!",
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},
{
"id": 954936057143644200,
"author_id": 948367888878825500,
"author_name": "Immyjimmy",
"timestamp": "03/19/2022 22:54:57",
"content": "This is part of a questions I’m doing. Is this true or false",
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"timestamp": "03/19/2022 22:54:58",
"content": "Pinned a message.",
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"id": 954937966080458800,
"author_id": 197677205382365200,
"author_name": ".nai",
"timestamp": "03/19/2022 23:02:33",
"content": "What do you think?",
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},
{
"id": 954938146645221400,
"author_id": 197677205382365200,
"author_name": ".nai",
"timestamp": "03/19/2022 23:03:16",
"content": "Use the definition of absolute value on |x|<=3 and you'll find out for sure",
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"timestamp": "03/19/2022 23:09:58",
"content": "@Immyjimmy Has your question been resolved?",
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] | help-10 | ff1c834d9fd448829e7ff602aa0319ed |
1,354 | [
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"content": "Available help channel!",
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},
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"id": 954952895172866000,
"author_id": 543414731722063900,
"author_name": "MoneyMaker",
"timestamp": "03/20/2022 00:01:52",
"content": "This is hypothesis testing, confidence level, is this always true, regardless of what significance level may take?",
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"timestamp": "03/20/2022 00:02:42",
"content": "And I also realized that we need to have k to be multiplied here, what is k? wouldnt [p -/+ sqr root()] be enough to find the tails at the end?",
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"content": "@MoneyMaker Has your question been resolved?",
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"timestamp": "03/20/2022 00:53:42",
"content": "Channel closed",
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] | help-10 | 0a9cedbcad784ae88072be70865bb151 |
1,355 | [
{
"id": 954966194153222100,
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"content": "Available help channel!",
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"id": 954968462021759000,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:03:43",
"content": "PQ and RS are two equal chords of length 24 cm each which intersect each other at A. AR > AS. If AQ :AP =1 :3, then show that AP+AR = 36 cm.",
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"id": 954968463909200000,
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"content": "Pinned a message.",
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"author_name": "St_PWR",
"timestamp": "03/20/2022 01:03:53",
"content": "How to solve this question?",
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"id": 954969754957905900,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:08:52",
"content": "I just need to know how to prove it.",
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"timestamp": "03/20/2022 01:14:27",
"content": "@Helpers",
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"id": 954971927926177900,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:17:30",
"content": "uhhh what is the usual wait time here?",
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"id": 954972977471053800,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/20/2022 01:21:40",
"content": "Have you tried to draw out the problem?",
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"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "03/20/2022 01:21:58",
"content": "",
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"author_name": "natex5a",
"timestamp": "03/20/2022 01:21:59",
"content": "Visualising and referring to a diagram youve drawn would make it much clearer",
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"timestamp": "03/20/2022 01:22:19",
"content": "ok",
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"id": 954973173017874400,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:22:26",
"content": "i will see if i get it after i draw",
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"id": 954973187001708500,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/20/2022 01:22:30",
"content": "lmk once youve drawn your diagram!",
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"id": 954973220262531100,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:22:38",
"content": "alright",
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"id": 954973248792186900,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:22:45",
"content": "i wil leave this channel open",
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},
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"id": 954973274792661000,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:22:51",
"content": "if i get it i will close it",
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{
"id": 954975940931366900,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:33:26",
"content": "hello, i drew the diagram but i could not find the correct value of AR. the value of AP is 18cm for sure but how do I know AR is also 18cm? They only gave the ratio for AP and AQ.",
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"id": 954976621356519400,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:36:09",
"content": "I also have a diagram which i drew...should i send it?",
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"id": 954976720526667800,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/20/2022 01:36:32",
"content": "There's this theorem called the Intersecting Chord Theorem. Have you learnt that?",
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"timestamp": "03/20/2022 01:36:37",
"content": "Sure!",
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"author_name": "St_PWR",
"timestamp": "03/20/2022 01:36:50",
"content": "huh could u tell me?",
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"timestamp": "03/20/2022 01:37:08",
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"author_name": "St_PWR",
"timestamp": "03/20/2022 01:38:03",
"content": "so does this mean segment B = C?",
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"author_name": "natex5a",
"timestamp": "03/20/2022 01:38:23",
"content": "B=C only if A=D",
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"id": 954977281800011800,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:38:46",
"content": "so in my question it says both cords are equal",
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"timestamp": "03/20/2022 01:38:50",
"content": "ohhh i get it",
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"id": 954977464831074300,
"author_id": 586972641575829600,
"author_name": "natex5a",
"timestamp": "03/20/2022 01:39:30",
"content": "Both chords are equal, yes. But we can only be sure that the product of the sections AP.PQ=AR.AS",
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"author_name": "natex5a",
"timestamp": "03/20/2022 01:39:48",
"content": "It may not necessarily mean that B=C",
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"id": 954978612149354500,
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"author_name": "St_PWR",
"timestamp": "03/20/2022 01:44:03",
"content": "ok so does that mean AS = AP*AR/AQ",
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"author_name": "natex5a",
"timestamp": "03/20/2022 01:44:17",
"content": "Using this theorem, you'd have to eventually solve a quad formula",
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"timestamp": "03/20/2022 01:44:49",
"content": "or a better way to define it would be AS=24-AR",
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"timestamp": "03/20/2022 01:45:08",
"content": "yeah i was going by the formula",
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"timestamp": "03/20/2022 01:45:25",
"content": "Yup. And then you can sub it into the Intersecting Chord Thm",
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"timestamp": "03/20/2022 01:46:08",
"content": "thanks for your help i think i got the answer!",
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"timestamp": "03/20/2022 01:46:14",
"content": "imma close this channel now",
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"id": 954979204540301300,
"author_id": 900079364027334700,
"author_name": "St_PWR",
"timestamp": "03/20/2022 01:46:25",
"content": ".close",
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},
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"id": 954979205924388900,
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"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 01:46:25",
"content": "Channel closed",
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}
] | help-10 | 233fd83f66d3406cba30d9b2cf97d1e7 |
1,356 | [
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"timestamp": "03/20/2022 01:54:23",
"content": "Available help channel!",
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},
{
"id": 954981607469621200,
"author_id": 805217272087838700,
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"timestamp": "03/20/2022 01:55:57",
"content": "Pinned a message.",
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] | help-10 | d13c31612781476cbfce238fa3f3c29a |
1,357 | [
{
"id": 954983238999371800,
"author_id": 915487527874465800,
"author_name": "Fidelity",
"timestamp": "03/20/2022 02:02:26",
"content": "A river flows at 3 km/h. At what rate should a boat sail in still water so that its actual speed upstream is 18 km/h?",
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"id": 955012730677493800,
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"timestamp": "03/20/2022 03:59:38",
"content": "Available help channel!",
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},
{
"id": 955015670393876600,
"author_id": 915487527874465800,
"author_name": "Fidelity",
"timestamp": "03/20/2022 04:11:19",
"content": "When Jorrel was born his father was 25 years old. Now, his father is 3 years more than twice his age. How old is Jorrel now?\n\nLet Jorrel be x\n\nIs the equation \"2x+3-x=25\" correct for this problem?",
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"id": 955015671668965400,
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"timestamp": "03/20/2022 04:11:19",
"content": "Pinned a message.",
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"id": 955015954243399700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "03/20/2022 04:12:26",
"content": "when you say \"Let Jorrel be x\" do you mean \"Let **Jorrel's present age** be x\"?",
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{
"id": 955016000057802800,
"author_id": 183668144404037630,
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"timestamp": "03/20/2022 04:12:37",
"content": "if so, then yes, your equation is correct.",
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"author_name": "Fidelity",
"timestamp": "03/20/2022 04:23:41",
"content": "yes :))",
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"author_id": 915487527874465800,
"author_name": "Fidelity",
"timestamp": "03/20/2022 04:23:46",
"content": "Thank you!",
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},
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"id": 955018853660917800,
"author_id": 915487527874465800,
"author_name": "Fidelity",
"timestamp": "03/20/2022 04:23:58",
"content": ".close",
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},
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"id": 955018855225364500,
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"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 04:23:58",
"content": "Channel closed",
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] | help-10 | 2772311dad1d4ad493d18efc391ecfa6 |
1,358 | [
{
"id": 907827199095214100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 22:01:10",
"content": "Available help channel!",
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},
{
"id": 907830959406194800,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:16:07",
"content": "Could someone explain what this question means?",
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},
{
"id": 907830960429621400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 22:16:07",
"content": "Pinned a message.",
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"timestamp": "11/09/2021 22:16:19",
"content": "",
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"id": 907831075106091000,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:16:34",
"content": "I don't understand \"the restriction, f|{1,2,3}, of f\"",
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},
{
"id": 907831169859600400,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:16:57",
"content": "Does that mean only the values in the subset {1,2,3} are being mapped from?",
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},
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"id": 907832882863681500,
"author_id": 140928979849838600,
"author_name": "Plurmorant",
"timestamp": "11/09/2021 22:23:45",
"content": "yeah, ignore 4 (because it messes up the injection)",
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"id": 907833667487944700,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:26:53",
"content": "alright ty",
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},
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"id": 907833731497197600,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:27:08",
"content": "so I could just give examples of mappings?",
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"id": 907833776304980000,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:27:19",
"content": "like f(1) = 2, f(2) = 3, f(3) = 4, f(4) = 2",
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},
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"id": 907833940277072000,
"author_id": 476666879922929660,
"author_name": "harryv",
"timestamp": "11/09/2021 22:27:58",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/903430332324405288/907833938049908746/IMG_7248.jpg",
"fileName": "IMG_7248.jpg",
"fileSizeBytes": 14486
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"author_id": 476666879922929660,
"author_name": "harryv",
"timestamp": "11/09/2021 22:28:13",
"content": "any help appreciated:)",
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"id": 907835349663903700,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:33:34",
"content": "get it to 2|z-(2+i)| = |z-(-i)| and you can see it's a line bisecting the two points",
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"id": 907835368898965600,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:33:38",
"content": "but please read #❓how-to-get-help lol",
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"author_name": "harryv",
"timestamp": "11/09/2021 22:34:30",
"content": "oh yeah sorry just read it now",
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"author_id": 476666879922929660,
"author_name": "harryv",
"timestamp": "11/09/2021 22:34:35",
"content": "thanks for the help though",
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"id": 907835731576234100,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:35:05",
"content": "np lol",
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{
"id": 907835771866738800,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:35:14",
"content": "I'd help more if I could but I haven't done complex loci in a while",
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{
"id": 907835951374532600,
"author_id": 476666879922929660,
"author_name": "harryv",
"timestamp": "11/09/2021 22:35:57",
"content": "no worries",
"attachments": [],
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},
{
"id": 907839547734388700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 22:50:15",
"content": "@Alex. Has your question been resolved?",
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{
"id": 907840242638262300,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 22:53:00",
"content": "would a correct answer be f(1) = 2, f(2) = 3, f(3) = 4, f(4) = 2",
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"author_id": 553046591812927500,
"author_name": "justAlex",
"timestamp": "11/09/2021 23:22:29",
"content": "Nope, the restriction is not surjective to the subset they’re mentioning",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 23:32:29",
"content": "@Alex. Has your question been resolved?",
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{
"id": 907851541925486600,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 23:37:54",
"content": "oh mb",
"attachments": [],
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},
{
"id": 907851569226199000,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 23:38:01",
"content": "always need to read the question",
"attachments": [],
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},
{
"id": 907851641502453800,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 23:38:18",
"content": "f(1) = 1, f(2) = 2, f(3) = 3, f(4) = 1",
"attachments": [],
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},
{
"id": 907851861191712800,
"author_id": 553046591812927500,
"author_name": "justAlex",
"timestamp": "11/09/2021 23:39:10",
"content": "Haha apparently so do I, they didn’t require surjectiveness. But yup, that works",
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},
{
"id": 907851976686059500,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 23:39:38",
"content": "lmao you're not wrong, ty though :)",
"attachments": [],
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"reference": null
},
{
"id": 907852015466590200,
"author_id": 313314864481173500,
"author_name": "Alex.",
"timestamp": "11/09/2021 23:39:47",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 907852018100604900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/09/2021 23:39:48",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-10 | 7ff5cce2b042427492a80b0ddc833130 |
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