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199,465 |
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{
"id": 956194017719255000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 10:13:39",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 956195806577328100,
"author_id": 884361317367029800,
"author_name": "Oni",
"timestamp": "03/23/2022 10:20:45",
"content": "i need help with this one pls",
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"id": 956195807550394500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 10:20:45",
"content": "Pinned a message.",
"attachments": [],
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"id": 956199582356885600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 10:35:45",
"content": "@Oni Has your question been resolved?",
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"id": 956199764293210200,
"author_id": 884361317367029800,
"author_name": "Oni",
"timestamp": "03/23/2022 10:36:29",
"content": "@Helpers",
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{
"id": 956207314833125400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 11:06:29",
"content": "@Oni Has your question been resolved?",
"attachments": [],
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{
"id": 956214865150750800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 11:36:29",
"content": "Channel closed",
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] |
help-9
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dd07f83e85864ac1964a374090b940fd
|
199,466 |
[
{
"id": 966287614065926100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 06:41:59",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 966287719061942400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 06:42:24",
"content": "A new test has been introduced to detect diabetic. If a person has diabetic, there is 85% chance\nthat the test will detect it. If a person does not have diabetic, there is a 5% chance that the test\nwill say that he has diabetic. It is known that about 7% of the population has diabetic.\ni. Sally came for the test, and she tested negative for diabetic. Do you think Sally should go\nfor a second opinion? How will Sally be affected if only 3% of the population has diabetic?\nExplain the findings. [8 marks]\nii. If Sally was tested positive for the test, what is the probability that she has diabetic?\nExplain the findings",
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{
"id": 966287721201029100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 06:42:25",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 966287831465087000,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 06:42:51",
"content": "I am stuck at the first question. I cant work my way to find P(N)",
"attachments": [],
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},
{
"id": 966291607085277200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 06:57:51",
"content": "@-------- Has your question been resolved?",
"attachments": [],
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"discriminator": "8000",
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{
"id": 966292144073625600,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 06:59:59",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 966293875973058700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:06:52",
"content": "Use law of total probability",
"attachments": [],
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},
{
"id": 966294150376988700,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:07:58",
"content": "Yeah i know to use this formulas but I just get stuck everytime",
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"id": 966294947177328600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:11:08",
"content": "None of those are law of total prob",
"attachments": [],
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},
{
"id": 966295177461395600,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:12:03",
"content": "Law of prob is by using the tree diagrams right?",
"attachments": [],
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},
{
"id": 966295262307954700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:12:23",
"content": "Sure if you want to draw it",
"attachments": [],
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},
{
"id": 966295378565668900,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:12:51",
"content": "I tried it but I still cant find it",
"attachments": [],
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},
{
"id": 966295604126969900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:13:44",
"content": "P(Negative)=P(Is diabetic and false negative)+P(Not diabetic and correct negative)",
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{
"id": 966295640898420700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:13:53",
"content": "Straight up application of law of total prob",
"attachments": [],
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{
"id": 966295919832203300,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:15:00",
"content": "I already know that but I cant work my way to the answer",
"attachments": [],
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},
{
"id": 966295970100957200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:15:12",
"content": "Why not type more than Idk what to do",
"attachments": [],
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},
{
"id": 966295997938532400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:15:18",
"content": "Instead of me guessing",
"attachments": [],
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},
{
"id": 966296020881395700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:15:24",
"content": "What you know or don’t know",
"attachments": [],
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{
"id": 966296892466155500,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:18:52",
"content": "Since for question 1, we need to know the P(N) as the prime objective. I understand P(N) = P(N|D) =+ P(N|D') but how do I get P(N|D) and P(N|D')",
"attachments": [],
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{
"id": 966297018458853400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:19:22",
"content": "Im trying to work these values out but I just get stuck over and over again",
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{
"id": 966301519077068800,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "04/20/2022 07:37:15",
"content": "You may want to reread what ScapeProf wrote more carefully.\nI quote:\n> P(Negative)=P(Is diabetic and false negative)+P(Not diabetic and correct negative) \nThat's an \"and\", not a \"given\".",
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{
"id": 966303459559211000,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:44:57",
"content": "my bad i wrote the wrong one. Its supposed to be intersect",
"attachments": [],
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{
"id": 966303621027344400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:45:36",
"content": "P(N) = P(N Intersects D) =+ P(N Intersects D')",
"attachments": [],
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},
{
"id": 966306270657282000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:56:08",
"content": "You are given the probabilities for the test and population prob for diabetic?",
"attachments": [],
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{
"id": 966306423615156200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:56:44",
"content": "P(Is diabetic and false negative)=P(Is diabetic) P(false negative | is diabetic)",
"attachments": [],
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},
{
"id": 966306452119650300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 07:56:51",
"content": "You are given both these values?",
"attachments": [],
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{
"id": 966307023098617900,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 07:59:07",
"content": "\"If a person does not have diabetic, there is a 5% chance that the test\nwill say that he has diabetic\" Is this P(P|ND) ?",
"attachments": [],
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},
{
"id": 966307421578477600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:00:42",
"content": "?",
"attachments": [],
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},
{
"id": 966307518039064600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:01:05",
"content": "What is P(P|ND) supposed to mean?",
"attachments": [],
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},
{
"id": 966307568727240700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:01:17",
"content": "Can you find these two values?",
"attachments": [],
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},
{
"id": 966307890908528600,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:02:34",
"content": "Nope",
"attachments": [],
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},
{
"id": 966307948651491300,
"author_id": 896231801717162000,
"author_name": "GaLazy",
"timestamp": "04/20/2022 08:02:48",
"content": "i need some help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966307964577255400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:02:51",
"content": "You can’t find proportion of population who is diabetic?",
"attachments": [],
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},
{
"id": 966308343650091000,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:04:22",
"content": "the population for diabetic for Q1 is 0.03",
"attachments": [],
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},
{
"id": 966308490106773500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:04:57",
"content": "No that is for 2nd part of question 1",
"attachments": [],
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},
{
"id": 966308589952180200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:05:20",
"content": "It is asking you answer the question given information, then do the same with this new information instead",
"attachments": [],
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},
{
"id": 966308765156667400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:06:02",
"content": "Oh yah we need to compare",
"attachments": [],
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},
{
"id": 966308826913591300,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:06:17",
"content": "Diabetes is 0.07",
"attachments": [],
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},
{
"id": 966308880860729300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:06:30",
"content": "So agree you were given that prob and it was just reading?",
"attachments": [],
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},
{
"id": 966308900712374300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:06:35",
"content": "Can you find the other value now?",
"attachments": [],
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},
{
"id": 966308950700081300,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:06:46",
"content": "P(D') is 0.93 if im not wrong",
"attachments": [],
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},
{
"id": 966309134121185300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:07:30",
"content": "Not the value you need rn but yes",
"attachments": [],
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},
{
"id": 966309164106256500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:07:37",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966309388228886500,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:08:31",
"content": "nope i have no idea how to get them",
"attachments": [],
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"reference": null
},
{
"id": 966309449428009100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:08:45",
"content": "“them”?",
"attachments": [],
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"reference": null
},
{
"id": 966309467048259600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:08:50",
"content": "You just found one of them?",
"attachments": [],
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},
{
"id": 966309582173536400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:09:17",
"content": "ignore the them",
"attachments": [],
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},
{
"id": 966309637739671600,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:09:30",
"content": "idk how to get P(N|D)",
"attachments": [],
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},
{
"id": 966309729804619900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:09:52",
"content": "If I tell you prob of getting heads on my coin is 0.6",
"attachments": [],
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},
{
"id": 966309754836226000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:09:58",
"content": "What is prob of tails?",
"attachments": [],
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},
{
"id": 966309775694520300,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:10:03",
"content": "0.4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966309799656562800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:10:09",
"content": "Apply same logic?",
"attachments": [],
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},
{
"id": 966309884226334700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:10:29",
"content": "You are given prob of positive when diabetic",
"attachments": [],
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},
{
"id": 966309924521017500,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:10:39",
"content": "Yup",
"attachments": [],
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},
{
"id": 966309939301728300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:10:42",
"content": "So?",
"attachments": [],
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"reference": null
},
{
"id": 966309955974094800,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:10:46",
"content": "which is 0.85",
"attachments": [],
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},
{
"id": 966309980582080500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:10:52",
"content": "So?",
"attachments": [],
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"reference": null
},
{
"id": 966310053214847100,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:11:09",
"content": "so P(P|D') is 0.15?",
"attachments": [],
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},
{
"id": 966310167333441500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:11:37",
"content": "Yes",
"attachments": [],
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},
{
"id": 966310425937477800,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:12:38",
"content": "So we got P(P|D) and P(P|D')",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966310458225225700,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:12:46",
"content": "How do we move on from now",
"attachments": [],
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"reference": null
},
{
"id": 966310569240064000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:13:12",
"content": "We have this now",
"attachments": [],
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"reference": null
},
{
"id": 966310605013274800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:13:21",
"content": "Do the exact same for the other value we needed",
"attachments": [],
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},
{
"id": 966311235320680400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:15:51",
"content": "I dont get it",
"attachments": [],
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},
{
"id": 966311321765294200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:16:12",
"content": "Get what?",
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},
{
"id": 966311562895822800,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:17:09",
"content": "By this",
"attachments": [],
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"id": 966311627844649100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:17:25",
"content": "I wrote it explicity what other value you needed",
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"timestamp": "04/20/2022 08:17:33",
"content": "Which you also said yes I already know this",
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"id": 966311687730892800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:17:39",
"content": "So I don’t understand",
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},
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"id": 966311706684948500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:17:44",
"content": "What you don’t get",
"attachments": [],
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},
{
"id": 966311810313617400,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:18:08",
"content": "You mean this?",
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{
"id": 966311830362415100,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:18:13",
"content": "P(N) = P(N Intersects D) + P(N Intersects D')",
"attachments": [],
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},
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"id": 966312557889597400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:21:07",
"content": "Yes we need those? And we have just found one of them",
"attachments": [],
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},
{
"id": 966312739859492900,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:21:50",
"content": "We only got P(P|D) and P(P|D'). How did we found one of them?",
"attachments": [],
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},
{
"id": 966312828925534200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:22:11",
"content": "We found this?",
"attachments": [],
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},
{
"id": 966312839130263600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:22:14",
"content": "What???",
"attachments": [],
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},
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"id": 966313046802833400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:23:03",
"content": "The main problem seems to be you not understanding English very well, so you don’t even understand the information in the question",
"attachments": [],
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},
{
"id": 966313078075568100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:23:11",
"content": "Not sure how to help with that",
"attachments": [],
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},
{
"id": 966313484507816000,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:24:47",
"content": "You mean by finding by this u mean values or just substitution?",
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},
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"id": 966313613663035400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:25:18",
"content": "We have found both values on right hand side of the equal sign?",
"attachments": [],
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},
{
"id": 966313979116920800,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:26:45",
"content": "I get it we found P(D). What about P(N|D)",
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},
{
"id": 966314143655268400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:27:25",
"content": "Here you said you had it?",
"attachments": [],
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"id": 966314199200448500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:27:38",
"content": "I srsly don’t understand what is happening",
"attachments": [],
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},
{
"id": 966314234898174100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:27:46",
"content": "You forget everything after 1 min or what?",
"attachments": [],
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},
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"id": 966314342981177300,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:28:12",
"content": "Isnt P(P|D') = P(P|ND) ?",
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},
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"id": 966314424799494100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:28:32",
"content": "Depends on what you mean with your random letters",
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"id": 966314442046443500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:28:36",
"content": "Which you haven’t defined",
"attachments": [],
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},
{
"id": 966314527597682700,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:28:56",
"content": "Prob of getting positive given that she is non-diabetic",
"attachments": [],
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},
{
"id": 966315278302588900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:31:55",
"content": "Given I throw my dice the prob of head is 0.6. Given I throw the dice what is prob of heads?",
"attachments": [],
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},
{
"id": 966315350960533500,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:32:12",
"content": "0.4",
"attachments": [],
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},
{
"id": 966315368677273700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:32:17",
"content": "This seems to be on the form P(A | B) to me, where A is heads and B me throwing",
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},
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"id": 966315490916040700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 08:32:46",
"content": "Seems like you get \n1-P(A | B)=P(A^c | B)",
"attachments": [],
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},
{
"id": 966315640510116000,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:33:21",
"content": "oh i get what u are saying",
"attachments": [],
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},
{
"id": 966315758705602600,
"author_id": 151967411707445250,
"author_name": "--------",
"timestamp": "04/20/2022 08:33:50",
"content": "P(P|D) means the prob of getting positive given that she is diabetic",
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},
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"timestamp": "04/20/2022 09:03:50",
"content": "@-------- Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 09:03:56",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d034f755a3264639a1d86fef1410633c
|
199,467 |
[
{
"id": 966326948638883800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 09:18:18",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 966327881926070300,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:22:00",
"content": "help",
"attachments": [],
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},
{
"id": 966327884530733200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 09:22:01",
"content": "Pinned a message.",
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"id": 966328030920343600,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:22:36",
"content": "can someone help me how did they solve this",
"attachments": [
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"id": 966328353038684300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 09:23:52",
"content": "that's the formula\n\nnPr = (n!)/(n-r)!",
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},
{
"id": 966328419048644700,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:08",
"content": "yeah how tho",
"attachments": [],
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},
{
"id": 966328497717006300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 09:24:27",
"content": "do you what n! is ?",
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},
{
"id": 966328517014986800,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:31",
"content": "yes",
"attachments": [],
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},
{
"id": 966328542482812900,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:38",
"content": "but 8",
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},
{
"id": 966328555325767700,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:41",
"content": "then 8-5",
"attachments": [],
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},
{
"id": 966328575315820700,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:45",
"content": "what happened at that part",
"attachments": [],
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},
{
"id": 966328601031098400,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:52",
"content": "what did he do",
"attachments": [],
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},
{
"id": 966328626201112600,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:58",
"content": "did he divide",
"attachments": [],
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},
{
"id": 966328633646006300,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:24:59",
"content": "multiply",
"attachments": [],
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},
{
"id": 966328654852390900,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:25:04",
"content": "js to get 6,720?",
"attachments": [],
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},
{
"id": 966328672510439400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 09:25:09",
"content": "(8-5)! is 3!",
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},
{
"id": 966328705490223100,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 09:25:16",
"content": "yeah",
"attachments": [],
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},
{
"id": 966328763304517600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 09:25:30",
"content": "8!/3! = 8x7x6x5x4",
"attachments": [],
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},
{
"id": 966328799610413000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 09:25:39",
"content": "since the 3x2x1 will cancel",
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},
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"id": 966328819403345900,
"author_id": 556119013298667500,
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"timestamp": "04/20/2022 09:25:44",
"content": "then just multiply",
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},
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"id": 966330140772687900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 09:30:59",
"content": "alright? @akagi",
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"author_name": "akagi",
"timestamp": "04/20/2022 09:40:00",
"content": "got it",
"attachments": [],
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"id": 966332429310779400,
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"author_name": "akagi",
"timestamp": "04/20/2022 09:40:04",
"content": "tysm !!",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 09:55:04",
"content": "@akagi Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 10:10:05",
"content": "Channel closed",
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}
] |
help-9
|
ef07a9606bb748d399847563bb0ccb74
|
199,468 |
[
{
"id": 966340233547374600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 10:11:05",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 966342841079058400,
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"timestamp": "04/20/2022 10:21:27",
"content": "Pinned a message.",
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"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:21:41",
"content": "find m so that the max value of the function is 5",
"attachments": [],
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},
{
"id": 966342923123830800,
"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:21:46",
"content": "how do i do this",
"attachments": [],
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},
{
"id": 966343239005265900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/20/2022 10:23:01",
"content": "**Frade**",
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"author_name": "Swas.py",
"timestamp": "04/20/2022 10:26:09",
"content": "first notice that m must be negative for there to be a maxima.\nfind f'(x), set it to 0, that gives at what x the slope is 0. then use that x value and let f(x) = 5 then you just need to solve a linear equation",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:28:18",
"content": "are you sure i'm supposed to use derivatives?",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:28:50",
"content": "it's the second question on this paper and those types of problems come way later in it",
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"id": 966344743007166600,
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"timestamp": "04/20/2022 10:29:00",
"content": "that's how I would do it I guess",
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},
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"id": 966344786674069500,
"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:29:10",
"content": "i think there's a simpler way",
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},
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"id": 966344823219056800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/20/2022 10:29:19",
"content": "what would that be",
"attachments": [],
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},
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"id": 966344884619460600,
"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:29:34",
"content": "idk thats why i asked here",
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"author_name": "Frade",
"timestamp": "04/20/2022 10:29:56",
"content": "$The max value of the function is k \ni mean the peak of f function is T(r,k)\n\nyou can find r with -b/2a formula\nb is second coefficient a is leading coefficient.\nthen just find f(r) the result is \"k\".\n\nAlso you can find with derivative. \nFirst lets take its diferanciel.\n\nf'(x) = 2mx - 8 \n\nvalue that makes its derivative 0 is r. \nf(r) = maximum value",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:30:13",
"content": "but i've just been doing exercises of the 2nd question for this test for 3 hours, and none of those used derivatives",
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"author_id": 463054764314198000,
"author_name": "Fischstaebchen14",
"timestamp": "04/20/2022 10:30:27",
"content": "You can always use the vertex form",
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"timestamp": "04/20/2022 10:30:33",
"content": "ah yes the vertex form exists too",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:30:34",
"content": "and usually had a simpler solution",
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"author_name": "Frade",
"timestamp": "04/20/2022 10:31:00",
"content": "@smile70 just use parabolic formula",
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"id": 966345334345318500,
"author_id": 638080358838960100,
"author_name": "Frade",
"timestamp": "04/20/2022 10:31:21",
"content": "T(-b/2a,f(-b/2a))",
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"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:31:26",
"content": "never heard of the vertex form, im not from an english speaking country",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:31:29",
"content": "i'll google it",
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"author_id": 463054764314198000,
"author_name": "Fischstaebchen14",
"timestamp": "04/20/2022 10:31:47",
"content": "What language do you speak ?",
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"timestamp": "04/20/2022 10:31:54",
"content": "romanian",
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"author_name": "Frade",
"timestamp": "04/20/2022 10:32:14",
"content": "did u understand the problem how to solve it ? @smile70",
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"timestamp": "04/20/2022 10:32:25",
"content": "i'll try it rn",
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"author_name": "Frade",
"timestamp": "04/20/2022 10:34:49",
"content": "-b/2a is easier",
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"timestamp": "04/20/2022 10:36:28",
"content": "this gives me m=-48/5",
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"timestamp": "04/20/2022 10:41:20",
"content": "So T( 8/2m ; 5)?",
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"timestamp": "04/20/2022 10:41:33",
"content": "a=m\nb=-8",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:42:05",
"content": "It's given in the problem that 5 is the max point",
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"id": 966348175482974300,
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"author_name": "Dracô",
"timestamp": "04/20/2022 10:42:38",
"content": "The maximum value of a quadratic function lies at x= -b/2a if a<0 \nHere you aren't told if a>0 or a<0\nBut we can easily assume that a<0 because if a>0 then the max value of the quadratic function can never be 5 it shall tend to infinite",
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"author_name": "Dracô",
"timestamp": "04/20/2022 10:42:42",
"content": ":thinks:",
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"id": 966348322333925500,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:43:13",
"content": "So jus equate \nD/4a = 5",
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"id": 966348359097008100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:43:22",
"content": "D is the discriminant",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:44:26",
"content": "I did mad's formula and it says m is 2",
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"author_name": "Dracô",
"timestamp": "04/20/2022 10:45:52",
"content": "Yes m=2 nothing wrong in his formula",
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"author_name": "smile70",
"timestamp": "04/20/2022 10:46:30",
"content": "it does say a=/0 i just forgot to mention it",
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"id": 966349220749668400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:46:48",
"content": "=/?",
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},
{
"id": 966349278249361400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:47:01",
"content": "You wanted to write a<0 ?",
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},
{
"id": 966349322868359200,
"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:47:12",
"content": "≠",
"attachments": [],
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},
{
"id": 966349457031594100,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:47:44",
"content": "Oh yes that's actually obvious",
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},
{
"id": 966349514506125400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:47:58",
"content": "If a=0 \nThen what's the point of calling it a quadratic",
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},
{
"id": 966349617497272300,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:48:22",
"content": "But oh well good thing they mentioned here",
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},
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"id": 966349700158615600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/20/2022 10:48:42",
"content": "Because here it's written just f(x) which could have been linear also if m=0",
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},
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"id": 966350047191105500,
"author_id": 388592852797751300,
"author_name": "smile70",
"timestamp": "04/20/2022 10:50:05",
"content": ".close",
"attachments": [],
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},
{
"id": 966350048956911600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 10:50:05",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
59af667a74a8446187879efefb65089f
|
199,469 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 10:51:05",
"content": "Available help channel!",
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"reference": null
},
{
"id": 966351152167931900,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 10:54:28",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 10:54:29",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 966351202004635800,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 10:54:40",
"content": "someone explain this combination",
"attachments": [],
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"reference": null
},
{
"id": 966354977964556400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 11:09:40",
"content": "@akagi Has your question been resolved?",
"attachments": [],
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"id": 966355109946745000,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "04/20/2022 11:10:12",
"content": "i encourage students to learn combinations with repetition nHr.",
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},
{
"id": 966355131392196700,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "04/20/2022 11:10:17",
"content": "https://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)",
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},
{
"id": 966357476788302000,
"author_id": 716679417203523600,
"author_name": "akagi",
"timestamp": "04/20/2022 11:19:36",
"content": "ty🙇♂️",
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},
{
"id": 966365027508551700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 11:49:36",
"content": "@akagi Has your question been resolved?",
"attachments": [],
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"timestamp": "04/20/2022 12:49:55",
"content": "@akagi Has your question been resolved?",
"attachments": [],
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"timestamp": "04/20/2022 14:52:13",
"content": ".close",
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},
{
"id": 966410985323790300,
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"timestamp": "04/20/2022 14:52:13",
"content": "Channel closed",
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] |
help-9
|
fa12ce1b6ffe41ac824acc0843b68a06
|
199,470 |
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"timestamp": "04/20/2022 17:38:20",
"content": "Available help channel!",
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"id": 966457714949644300,
"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "04/20/2022 17:57:55",
"content": "Hello, can someone explain what the thing in blue means?",
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"content": "Pinned a message.",
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"id": 966457882168152200,
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"timestamp": "04/20/2022 17:58:35",
"content": "the second derivative of y with respect to x",
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{
"id": 966457921003200600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/20/2022 17:58:44",
"content": "equivalently, the derivative of $dy/dx$ with respect to x",
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"id": 966457931753222100,
"author_id": 510789298321096700,
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"timestamp": "04/20/2022 17:58:46",
"content": "**riemann**",
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"timestamp": "04/20/2022 17:59:33",
"content": "but shouldnt the second derivative of y with respect to x be $d^2y/dx$",
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"id": 966458139077656600,
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"timestamp": "04/20/2022 17:59:36",
"content": "**marco.py**",
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"timestamp": "04/20/2022 18:00:16",
"content": "but in the question its $d^2y/dx^2$",
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"id": 966458318199603300,
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"content": "**marco.py**",
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"timestamp": "04/20/2022 18:01:33",
"content": "no. this is not the correct notation.",
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"timestamp": "04/20/2022 18:02:21",
"content": "x has to be raised to the 2nd power?",
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"id": 966458935999602700,
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"timestamp": "04/20/2022 18:02:46",
"content": "understandably, you're reading the notation wrong",
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"id": 966459118288269300,
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"timestamp": "04/20/2022 18:03:29",
"content": "https://en.wikipedia.org/wiki/Notation_for_differentiation",
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"id": 966459197392830600,
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"timestamp": "04/20/2022 18:03:48",
"content": "first few sections",
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},
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"id": 966459316024529000,
"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "04/20/2022 18:04:16",
"content": "ok thx i will check them out",
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"author_id": 492817322105634800,
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"timestamp": "04/20/2022 18:04:29",
"content": ".close",
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},
{
"id": 966459368977621100,
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"timestamp": "04/20/2022 18:04:29",
"content": "Channel closed",
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}
] |
help-9
|
f72f2b504f324dd5a32e93c19d9f5e04
|
199,471 |
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"content": "Available help channel!",
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},
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"id": 966467199218896900,
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"timestamp": "04/20/2022 18:35:41",
"content": "how would you consider drawing this",
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"content": ".close",
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}
] |
help-9
|
99acaf99941d40d68459fd96a38351fa
|
199,472 |
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"timestamp": "04/20/2022 18:45:38",
"content": "Available help channel!",
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},
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"id": 966470121499537500,
"author_id": 264582664122531840,
"author_name": "Maestro Li",
"timestamp": "04/20/2022 18:47:13",
"content": "Problem: EI d^4y/dx^4 = W_0. If the beam if hinged on both ends y(0) = 0, y''(0)=0, y(L) = 0, y''(L) = 0. Find the general solution to the differential equation of the beam.",
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"content": "I'll show pictures of my solution so we can compare if (someone is interested)",
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"content": "@Maestro Li Has your question been resolved?",
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"timestamp": "04/20/2022 19:13:02",
"content": "@Helpers",
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"timestamp": "04/20/2022 19:43:02",
"content": "@Maestro Li Has your question been resolved?",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/20/2022 19:50:28",
"content": "clearly by definition, I got",
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"timestamp": "04/20/2022 19:51:20",
"content": "y(x)=(W_0/24)x^4-(LW_0/12)x^3+(L^3W_0/24)x",
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"content": "Channel closed",
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] |
help-9
|
e46b028576bc42a7a33d866629366df5
|
199,473 |
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"content": "Available help channel!",
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"id": 966496071624826900,
"author_id": 776263725991592000,
"author_name": "Ajim",
"timestamp": "04/20/2022 20:30:20",
"content": "i can't quite understand how expansion works",
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"timestamp": "04/20/2022 20:31:00",
"content": "expansion of?",
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"timestamp": "04/20/2022 20:31:43",
"content": "for example, 7(2ef+3e)",
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"timestamp": "04/20/2022 20:32:00",
"content": "so you gotta simplify right?",
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"timestamp": "04/20/2022 20:32:06",
"content": "yeah",
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"id": 966496543525982300,
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"timestamp": "04/20/2022 20:32:12",
"content": "you distribute and multiply",
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"timestamp": "04/20/2022 20:32:43",
"content": "that is 7(2ef)+7(3e)",
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"timestamp": "04/20/2022 20:33:11",
"content": "oh ok",
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"timestamp": "04/20/2022 20:33:16",
"content": "so it means that,",
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"timestamp": "04/20/2022 20:33:56",
"content": "7(2ef)+7(3e) is the result of the distribute",
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"timestamp": "04/20/2022 20:34:03",
"content": "and if we multiply",
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"timestamp": "04/20/2022 20:34:25",
"content": "is it gonna be 14ef+21e?",
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"timestamp": "04/20/2022 20:34:33",
"content": "yes",
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"timestamp": "04/20/2022 20:34:38",
"content": "oh ok thanks",
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"timestamp": "04/20/2022 20:34:53",
"content": "so we just need to distribute the two factors and multiply",
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"author_name": "Ajim",
"timestamp": "04/20/2022 20:35:39",
"content": "so if its -r/8(2s-8),",
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"timestamp": "04/20/2022 20:35:45",
"content": "is gotta be",
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"timestamp": "04/20/2022 20:36:15",
"content": "-r/8x(-6s) then right?",
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"timestamp": "04/20/2022 20:37:35",
"content": "wait no",
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"timestamp": "04/20/2022 20:37:47",
"content": "oops no",
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"timestamp": "04/20/2022 20:37:58",
"content": "-r/8(-6s)?",
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"timestamp": "04/20/2022 20:38:17",
"content": "where did -6s come from?",
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"timestamp": "04/20/2022 20:38:34",
"content": "2s-8?",
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"timestamp": "04/20/2022 20:38:35",
"content": "ig",
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"timestamp": "04/20/2022 20:38:57",
"content": "2s-8 is NOT equal tp -6s",
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"timestamp": "04/20/2022 20:39:11",
"content": "oh man youre right",
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"timestamp": "04/20/2022 20:39:21",
"content": "if 2s-8, is gotta be.....",
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"timestamp": "04/20/2022 20:39:26",
"content": "try again",
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"timestamp": "04/20/2022 20:39:40",
"content": "hold up",
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"timestamp": "04/20/2022 20:39:46",
"content": "2-8",
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"timestamp": "04/20/2022 20:39:58",
"content": "gotta be negative symbol behind it right",
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"id": 966498593219428400,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/20/2022 20:40:21",
"content": "why are you 2-8??",
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"timestamp": "04/20/2022 20:40:24",
"content": "but we want to multiply it with a fraction tho",
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"timestamp": "04/20/2022 20:40:30",
"content": "2s-8",
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"timestamp": "04/20/2022 20:40:31",
"content": "oh",
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"timestamp": "04/20/2022 20:40:34",
"content": "nonono",
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"timestamp": "04/20/2022 20:40:51",
"content": "ok the question again i repeat -r/8(2s-8)",
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"author_name": "Ajim",
"timestamp": "04/20/2022 20:41:48",
"content": "we need to solve the brackets first?",
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"timestamp": "04/20/2022 20:41:53",
"content": "or what",
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"id": 966499037098426400,
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"author_name": "Deol",
"timestamp": "04/20/2022 20:42:07",
"content": "so, you multiply (-r/2 * 2s) + (-r/2 * 2s)",
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"timestamp": "04/20/2022 20:42:11",
"content": "no",
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"timestamp": "04/20/2022 20:42:24",
"content": "ok",
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"timestamp": "04/20/2022 20:42:31",
"content": "cant do in this question",
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"timestamp": "04/20/2022 20:42:41",
"content": "this is expansion",
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"timestamp": "04/20/2022 20:42:45",
"content": "yeah cuz its algebraic",
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"timestamp": "04/20/2022 20:42:55",
"content": "we can't just solve it",
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"id": 966499284268761100,
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"timestamp": "04/20/2022 20:43:06",
"content": "*",
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"author_name": "Deol",
"timestamp": "04/20/2022 20:44:00",
"content": "yes, so can you worki it out now?",
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"timestamp": "04/20/2022 20:44:08",
"content": "i can",
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"timestamp": "04/20/2022 20:46:15",
"content": "did you understand how distribution works?",
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"timestamp": "04/20/2022 20:47:32",
"content": "yup",
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"timestamp": "04/20/2022 20:47:48",
"content": "you distribute the two factors and multiply em to get the answer",
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"author_name": "Deol",
"timestamp": "04/20/2022 20:50:16",
"content": "you distribute one factor to multiply with the other terms\nbut, i think you got it",
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"content": "yeah thank you",
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"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
e8d88f4fece04de88db2bafe9674f4de
|
199,474 |
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"content": "the topic is modular arithmetic but I have no idea how to apply it to this question",
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] |
help-9
|
16a612bbfb684f69b31dd1b7a2acd5f0
|
199,475 |
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help-9
|
fd241e4bb91545e597a892bc37da86e6
|
199,476 |
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"author_name": "NiThISh",
"timestamp": "03/23/2022 11:39:11",
"content": "hello ?",
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"author_name": "NiThISh",
"timestamp": "03/23/2022 11:39:40",
"content": "need help for my re exam",
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"id": 956215793241190500,
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"author_name": "Omegabet_",
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"content": "answer to your question is 7",
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"author_id": 186109587366215680,
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"timestamp": "03/23/2022 11:40:24",
"content": "> • Ask your math question in a clear, concise manner.\n> • Show your work, and if possible, explain where you are stuck.",
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"content": "anyone personally wants to help me in grade 11 re exam ,5 lessons , 4 days",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/23/2022 11:44:42",
"content": "Try responding to my message................",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/23/2022 11:45:03",
"content": "and wait 15 minutes to ping helpers, although you never posted a question so there's no reason to even ping.",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
6d12a3e1619b473c994ab00835cb99b7
|
199,477 |
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help-9
|
cbb97b294a0d46a4b1562e50d40764af
|
199,478 |
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"timestamp": "04/20/2022 22:46:57",
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"content": "my question is how do i know its just a line integral and not fundamenal theorem or greens or stokes",
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"id": 966531386448154600,
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"timestamp": "04/20/2022 22:52:28",
"content": "heres my updated work",
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"content": "im not sure its right though",
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"timestamp": "04/20/2022 22:57:25",
"content": "methinks that looks good",
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"content": "@früg Has your question been resolved?",
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"timestamp": "04/20/2022 23:20:53",
"content": "okay cool",
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}
] |
help-9
|
67dd2f74b2f54de0ac1d9a737e80820a
|
199,479 |
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"content": "Pinned a message.",
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"content": "I would probably add the 56 over and try to factor something",
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"content": "Let me try it quick",
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"author_name": "Robert Lewandowski",
"timestamp": "04/20/2022 23:29:59",
"content": "Just try numbers is faster lol",
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"author_name": "Robert Lewandowski",
"timestamp": "04/20/2022 23:30:00",
"content": "Its 4",
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"timestamp": "04/20/2022 23:30:17",
"content": "Yeah but thats bad practice 😂",
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"timestamp": "04/20/2022 23:30:22",
"content": "XD",
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"timestamp": "04/20/2022 23:30:48",
"content": "At that point just use wolfram alpha lmao",
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"timestamp": "04/20/2022 23:30:54",
"content": "lol",
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"author_name": "GrimProxy",
"timestamp": "04/20/2022 23:31:44",
"content": "you can't",
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"author_name": "dldh06",
"timestamp": "04/20/2022 23:32:13",
"content": "Don't give out answers",
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"timestamp": "04/20/2022 23:32:41",
"content": "cause I haven't learned how to solve -k^3 +2k +56",
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"timestamp": "04/20/2022 23:33:35",
"content": "Is there a way to do it??? other than",
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"timestamp": "04/20/2022 23:33:59",
"content": "Hm not sure",
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"timestamp": "04/20/2022 23:34:09",
"content": "rip",
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"content": "You can. It factors into -(k-4)(k^2 + 4k + 14) = 0",
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"timestamp": "04/20/2022 23:41:08",
"content": "Then you can easily solve from there",
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"timestamp": "04/20/2022 23:42:49",
"content": "So have you factorised the cubic there?",
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"timestamp": "04/20/2022 23:43:39",
"content": "Did u use this formula? a³ + b³ = (a + b)(a² - ab + b²)",
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"timestamp": "04/20/2022 23:43:53",
"content": "@VictorLee",
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"timestamp": "04/20/2022 23:44:58",
"content": "I used a calculator bc i was too lazy to do it myself 🫢. But no thats not the fact to use",
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"timestamp": "04/20/2022 23:45:23",
"content": "How would you factorise it then??",
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"timestamp": "04/20/2022 23:51:01",
"content": "Its a bit complicated. I could try to explain it but you’d probably be better off looking it up, sorry man",
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"timestamp": "04/20/2022 23:51:09",
"content": "Im rusty on cubics",
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"timestamp": "04/20/2022 23:51:12",
"content": "ok nw",
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"author_name": "GrimProxy",
"timestamp": "04/20/2022 23:51:16",
"content": "thanks",
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"timestamp": "04/21/2022 00:06:16",
"content": "@GrimProxy Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
0d33edde1e0a4c269f4a58937814be69
|
199,480 |
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help-9
|
43612411308640a4913639e8304281f7
|
199,481 |
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"id": 966647826845155300,
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"content": "Is it guaranteed that the number of minimum spanning trees > 1",
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help-9
|
7b87102b94934b7aae497705aca932d0
|
199,482 |
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"author_id": 556119013298667500,
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"content": "@Swas.py Has your question been resolved?",
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"content": "@Helpers",
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"content": "@Swas.py Has your question been resolved?",
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"content": "Hint. What is the value of f(f((a,b)))",
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"timestamp": "04/21/2022 07:58:59",
"content": "Yes, f is a multivariable function, as it takes inputs from the set A x B. To prevent the brackets from getting out of hand, we just write f(a,b) rather than f((a,b))",
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"timestamp": "04/21/2022 07:59:55",
"content": "I see thanks",
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"timestamp": "04/21/2022 08:00:08",
"content": "I've already proved it thanks anyway",
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"content": ".close",
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help-9
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0ba1eb7f0b604f8cae28e42ed0b7dbc3
|
199,483 |
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"content": "Can someone help me with this question",
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"content": "I’m just a fucking moron",
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"content": "skeeeeetch",
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"content": "Bruh",
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"content": "@Navix like this",
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"content": "It seems to form a special triangle",
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"content": "The angle is in the second quadrant so I ignore the other angle",
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"content": "Wait nvm I got it",
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"content": "cot(x) = -1 implies tan(x) = -1 which implies that you have a right triangle with hypothenuse sqrt(2) and other side lengths 1.\n\nsec(x) = 1/cos(x) = hyp/adj = sqrt(2) / -1",
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"timestamp": "04/21/2022 09:27:47",
"content": "-sqrt(2) then",
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},
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"id": 966691735147274200,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:27:49",
"content": "Which is correct",
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},
{
"id": 966691739479978000,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:27:50",
"content": "Thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966691755506425900,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:27:54",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966691757603586000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 09:27:55",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7cb5682b8be34817a342b89c2e6244f5
|
199,484 |
[
{
"id": 966691831184244700,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:28:12",
"content": ".reopen",
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},
{
"id": 966691836594880600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 09:28:14",
"content": "✅",
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"reference": null
},
{
"id": 966691848439611400,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:28:16",
"content": "@Navix wait",
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"timestamp": "04/21/2022 09:28:19",
"content": "One more thing",
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},
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"id": 966691865476874200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:28:20",
"content": "o.o",
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},
{
"id": 966691931054813200,
"author_id": 728716838363594800,
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"timestamp": "04/21/2022 09:28:36",
"content": "Question 7",
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},
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"id": 966691966744150000,
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"content": "",
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"id": 966692036961009800,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:29:01",
"content": "How would I go about simplifying",
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},
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"id": 966692099267395600,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:29:16",
"content": "I know cos pi/6 forms a good number",
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},
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"id": 966692147493498900,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:29:28",
"content": "And so does sin pi/6",
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},
{
"id": 966692188379557900,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:29:37",
"content": "do you know the angle addition identities?",
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},
{
"id": 966692192720678900,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:29:39",
"content": "But what do I do to simplify the other ones",
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},
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"id": 966692293476237300,
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"author_name": "aguaman",
"timestamp": "04/21/2022 09:30:03",
"content": "Yes but the teacher hasn’t taught it yet so I’m skeptical to use it",
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"id": 966692456433336400,
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"author_name": "aguaman",
"timestamp": "04/21/2022 09:30:41",
"content": "Cos(x) = sin(pi/2 - x)",
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"author_name": "aguaman",
"timestamp": "04/21/2022 09:30:58",
"content": "This is what you mean right?",
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},
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"id": 966692608896286700,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:31:18",
"content": "no",
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},
{
"id": 966692653452382300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:31:28",
"content": "cos(2x) = cos(x + x) = ...",
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},
{
"id": 966692926904221700,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:32:34",
"content": "Uhhh I forgot the cos(2x identity",
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},
{
"id": 966692959397482500,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:32:41",
"content": "have it in ur notes?",
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},
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"id": 966693097171988600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:33:14",
"content": "otherwise, cos(a+b) is",
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"id": 966693140163596300,
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"author_name": "Navix",
"timestamp": "04/21/2022 09:33:24",
"content": "",
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"id": 966693257977413600,
"author_id": 728716838363594800,
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"timestamp": "04/21/2022 09:33:52",
"content": "How does that help me here",
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},
{
"id": 966693303271690200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 09:34:03",
"content": "well doesnt it look similar to the problem?",
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},
{
"id": 966694041288843300,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:36:59",
"content": "Ohhhhhhhhhg",
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},
{
"id": 966694174164394000,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:37:31",
"content": "Yeah I see so the answer is cos(pi/5 + pi/6)",
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"timestamp": "04/21/2022 09:38:41",
"content": "sounds reasonable",
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},
{
"id": 966696887157657700,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:48:18",
"content": ".clowe",
"attachments": [],
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"reference": null
},
{
"id": 966696901200195600,
"author_id": 728716838363594800,
"author_name": "aguaman",
"timestamp": "04/21/2022 09:48:21",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966696902810800100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 09:48:21",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5e3d3f3e3de442be80d2e960135ffb88
|
199,485 |
[
{
"id": 966697155844792400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 09:49:22",
"content": "Available help channel!",
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},
{
"id": 966700459865817200,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:02:30",
"content": "Where am I going wrong",
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"timestamp": "04/21/2022 10:02:30",
"content": "Pinned a message.",
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}
},
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"id": 966700492904333300,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:02:37",
"content": "A ) is the answer",
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},
{
"id": 966701878714958000,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "04/21/2022 10:08:08",
"content": "What is the original question?",
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},
{
"id": 966701939909853200,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:08:22",
"content": "4 a",
"attachments": [],
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"reference": null
},
{
"id": 966701954728329200,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:08:26",
"content": "",
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},
{
"id": 966702508225486800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:10:38",
"content": "what have you written here?",
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},
{
"id": 966702572113113100,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:10:53",
"content": "I’m so dumb",
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"reference": null
},
{
"id": 966702616514023600,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:11:04",
"content": "Give second",
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},
{
"id": 966702876032372700,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:12:06",
"content": "I approches from 5",
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},
{
"id": 966702887281512400,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:12:08",
"content": "Not -5",
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"reference": null
},
{
"id": 966702894571212800,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:12:10",
"content": "I’m sorry",
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"reference": null
},
{
"id": 966702929576882200,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:12:18",
"content": "Ugh this is a bad mistake I’m gonna die tomorrow",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966702969968021500,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:12:28",
"content": "Little mistakes like this ruin me",
"attachments": [],
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"reference": null
},
{
"id": 966703034157646000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:12:43",
"content": "it's fine no need to be sorry",
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},
{
"id": 966703220309242000,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:13:28",
"content": "Can I ask more questions",
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},
{
"id": 966703257185566800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:13:36",
"content": "if x approaches 5\nthen isn't f(x) = 5/(5+5) = 5/10 = 1/2 are you sure it's +5?",
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},
{
"id": 966703388328865900,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:14:08",
"content": "Vertical A is -5 so it should approach from the + and - side of -5",
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},
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"id": 966703524622762000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:14:40",
"content": "Yes, -5 not +5",
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},
{
"id": 966703531031687200,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:14:42",
"content": "So idk for the -5+(side) it would be like -5.01/ -5.01 + 5",
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},
{
"id": 966703721163653100,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:15:27",
"content": "If there is a hole",
"attachments": [],
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"reference": null
},
{
"id": 966703769347842000,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:15:39",
"content": "Can there mean there is no vertical asymptote",
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},
{
"id": 966704001167003600,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:16:34",
"content": "not sure what you mean by that question",
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},
{
"id": 966704110931939500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:17:00",
"content": "why is this +inf",
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"id": 966704317094584300,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:17:49",
"content": "yeah i made i mistake i completely changed my work",
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},
{
"id": 966704410086486100,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:18:11",
"content": "from the right side its + inf and from the left side its -inf",
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},
{
"id": 966704450993549400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:18:21",
"content": "its the opposite",
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},
{
"id": 966704487341367300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:18:30",
"content": "from the right of -5 its -inf",
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},
{
"id": 966704506966519800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:18:34",
"content": "and from the left its +inf",
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},
{
"id": 966704570371805300,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:18:50",
"content": "mmakes snese",
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"reference": null
},
{
"id": 966704599404785800,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:18:57",
"content": "im just confusing myself with the messy work im doing",
"attachments": [],
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"reference": null
},
{
"id": 966704619201921200,
"author_id": 448474477869924350,
"author_name": "dopamine",
"timestamp": "04/21/2022 10:19:01",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966704664215158800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/21/2022 10:19:12",
"content": ":catthumbsup:",
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"reference": null
},
{
"id": 966708394981482600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 10:34:01",
"content": "@dopamine Has your question been resolved?",
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},
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"id": 966709159322075100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 10:37:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1b48df2f16b846c3b6e1a5f4af0757d1
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199,486 |
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"id": 966716025661952000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 11:04:21",
"content": "Available help channel!",
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"reference": null
},
{
"id": 966716657491935200,
"author_id": 603628921757499400,
"author_name": "angelized__",
"timestamp": "04/21/2022 11:06:51",
"content": "Got stuck trying to solve this challenge question. No Idea how to solve it",
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"timestamp": "04/21/2022 11:06:52",
"content": "Pinned a message.",
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"id": 966717310687662200,
"author_id": 624561805976535000,
"author_name": "Pishleback",
"timestamp": "04/21/2022 11:09:27",
"content": "Simplify A, B and C, then draw a picture to compute $A \\cap (B \\cup C)$",
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"id": 966717321269895300,
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"author_name": "TeXit",
"timestamp": "04/21/2022 11:09:30",
"content": "**Pishleback**",
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"timestamp": "04/21/2022 11:21:52",
"content": "@angelized__ Has your question been resolved?",
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"timestamp": "04/21/2022 11:36:52",
"content": "Channel closed",
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] |
help-9
|
c19c8db529944bb093cc60aa1d5454c6
|
199,487 |
[
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"id": 956219188882604200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 11:53:40",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 956221576729219100,
"author_id": 645002473882517500,
"author_name": "Mapache",
"timestamp": "03/23/2022 12:03:09",
"content": "To resolve this. Do I need to use integral by parts or should i use change of variable u=cos(ln(x))?",
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"timestamp": "03/23/2022 12:03:10",
"content": "Pinned a message.",
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"id": 956223958980657300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:12:37",
"content": "change of variable, but not cosine",
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"timestamp": "03/23/2022 12:18:10",
"content": "@Mapache Has your question been resolved?",
"attachments": [],
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"timestamp": "03/23/2022 12:33:10",
"content": "Channel closed",
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}
] |
help-9
|
894026138fbd4c8d9f328ad7d9964bed
|
199,488 |
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{
"id": 966742073598423000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 12:47:51",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 966749182515875800,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:16:06",
"content": "Hi there",
"attachments": [],
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},
{
"id": 966749184554315800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 13:16:06",
"content": "Pinned a message.",
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"messageId": 966749182515875800,
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{
"id": 966749239956873300,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:16:20",
"content": "I had to formulate a constraint for a linear program",
"attachments": [],
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},
{
"id": 966749269212151800,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:16:27",
"content": "And was given this statement",
"attachments": [],
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{
"id": 966749411831070700,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:17:01",
"content": "\"In a set amount of time, only 40 apple cakes OR 28 banana cakes OR 34 chocolate cakes can be baked\"",
"attachments": [],
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},
{
"id": 966749461588099200,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:17:12",
"content": "How would I make a constraint based off of this",
"attachments": [],
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},
{
"id": 966749540554272800,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:17:31",
"content": "I was thinking that",
"attachments": [],
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},
{
"id": 966749627850305500,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:17:52",
"content": "40 of a = T",
"attachments": [],
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},
{
"id": 966749669722063000,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:18:02",
"content": "28 of b = T",
"attachments": [],
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},
{
"id": 966749709731516400,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:18:12",
"content": "34 of c = T",
"attachments": [],
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{
"id": 966751999695655000,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/21/2022 13:27:18",
"content": "what do you want to maximize/minimize?",
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},
{
"id": 966752330819199000,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:28:37",
"content": "We want to maximise profit for which values are given",
"attachments": [],
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},
{
"id": 966752402285949000,
"author_id": 665511923852247000,
"author_name": "Gleb",
"timestamp": "04/21/2022 13:28:54",
"content": "But this is just about getting a constraint given the time restrictions",
"attachments": [],
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},
{
"id": 966752994811076600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/21/2022 13:31:15",
"content": "I'm guessing we can actually cook a mix of products?",
"attachments": [],
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},
{
"id": 966753245060038700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/21/2022 13:32:15",
"content": "Let's say we only cooked 20 apple cakes. How many banana cakes can we make?",
"attachments": [],
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},
{
"id": 966753340572721300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/21/2022 13:32:37",
"content": "There's a plane that is the total constraint",
"attachments": [],
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},
{
"id": 966756178459754600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 13:43:54",
"content": "@Gleb Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 13:58:54",
"content": "Channel closed",
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}
] |
help-9
|
9c13392ef64041b4b4c931ce512fdf2f
|
199,489 |
[
{
"id": 966760206719672300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 13:59:54",
"content": "Available help channel!",
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},
{
"id": 966761669546082400,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:05:43",
"content": "spherical polar volume element has a sin phi, in it\nthat means it matter which angle is phi and theta?\nI don't understand why it matters",
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"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 14:05:44",
"content": "Pinned a message.",
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"id": 966763461289836700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:12:50",
"content": "it does matter because one angle's range is [0, pi) and the other is [0, 2pi)",
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"id": 966764725033664500,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:17:52",
"content": "in a question, i wrote int (1-cos(theta))sin(phi) and got a wrong anser\nI tried (1-cos(theta)*sin(theta) and got the right answer\n\nIn spherical coords, how do you know which way your azimuthal angle should be?\nessentially R = 1 - cos (theta) for theta between 0 and pi\nand then do a full revolution of that to get a 3d shape you need to find the vol of (a bit like a donut except a hole of size 0)\nHere, since R depends on theta, choosing whether theta is the azimuthal angle or the polar leads to different results?",
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"id": 966765672539496400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:21:37",
"content": "it just depends on your professor/textbook",
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"id": 966765734757818400,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:21:52",
"content": "I don't get why i get different answers",
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},
{
"id": 966765743318376400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:21:54",
"content": "i think this is standard\nhttps://en.wikipedia.org/wiki/Spherical_coordinate_system",
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"id": 966765770208084000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:22:01",
"content": ".",
"attachments": [],
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},
{
"id": 966765805742198800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:22:09",
"content": "and you're measuring different things",
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"id": 966765847475519500,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:22:19",
"content": "but there is a sin(azimuthal angle) in the volume element",
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{
"id": 966765885899554800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:22:28",
"content": "the integrand isn't symmetric between the two angles",
"attachments": [],
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},
{
"id": 966765969190056000,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:22:48",
"content": "look",
"attachments": [],
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},
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"id": 966765998457888800,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:22:55",
"content": "",
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"author_name": "1080p",
"timestamp": "04/21/2022 14:23:46",
"content": "if I assume this theta is polar, I get the wrong answer\nbut if I assume it's azimuthal, I get the right answer",
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"id": 966766309675266000,
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"author_name": "riemann",
"timestamp": "04/21/2022 14:24:09",
"content": "yes. because you're calculating different things",
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"id": 966766406714671200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:24:33",
"content": "draw a picture using the wiki coordinates",
"attachments": [],
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"id": 966766472376483800,
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"author_name": "riemann",
"timestamp": "04/21/2022 14:24:48",
"content": "you'll see your integrand is different when you swap angles",
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"id": 966767887178141700,
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"author_name": "1080p",
"timestamp": "04/21/2022 14:30:25",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/966767885408165939/20220421_193011.jpg",
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"author_name": "1080p",
"timestamp": "04/21/2022 14:30:27",
"content": "Same thing?",
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"id": 966768042619052000,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:31:03",
"content": "i just rotated the apple",
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"id": 966769151324590100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:35:27",
"content": "now draw it using phi instead of theta",
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"id": 966769242626224100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:35:49",
"content": "including the rotation about x axis",
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"id": 966769523317420000,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:36:56",
"content": "there are two different orientations there\ntop one has the apple hole going through the z axis, theta is azimuthal\nsecond one has the hole going through the x axis, theta is polar",
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"id": 966770263830167600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:39:52",
"content": "for r = 1-cos(theta), the apple has the hole going through the y axis when rotating about the x axis",
"attachments": [],
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},
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"id": 966771031849205900,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:42:55",
"content": "which direction is theta?",
"attachments": [],
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"id": 966771681630757000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:45:30",
"content": "nope my bad. i got it swapped",
"attachments": [],
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"id": 966771730444091400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:45:42",
"content": "this theta should be azimuthal",
"attachments": [],
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},
{
"id": 966771816217583600,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:46:02",
"content": "how do you know?",
"attachments": [],
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"id": 966771852175364100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:46:11",
"content": "\"top half\"",
"attachments": [],
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},
{
"id": 966771926481653800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:46:29",
"content": "nope, double mistake, i was right the first time",
"attachments": [],
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},
{
"id": 966772152932110300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:47:23",
"content": "tracing the curve $r = a(1-\\cos(\\theta))$ for $0 \\le \\theta \\le \\pi$ gives the \"top half\" meaning $z \\ge 0$",
"attachments": [],
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},
{
"id": 966772164122521600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/21/2022 14:47:25",
"content": "**riemann**",
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"author_name": "riemann",
"timestamp": "04/21/2022 14:47:36",
"content": "so it's using cylindrical coords here\nhttps://math.libretexts.org/Courses/University_of_California_Davis/UCD_Mat_21C%3A_Multivariate_Calculus/11%3A_Vectors_and_the_Geometry_of_Space/11.6%3A_Cylinders_and_Quadric_Surfaces",
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"author_name": "1080p",
"timestamp": "04/21/2022 14:49:18",
"content": "so my second graph is right?",
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"author_name": "riemann",
"timestamp": "04/21/2022 14:50:26",
"content": "don't think so. draw it in the xy plane for z=0 first",
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"id": 966772961006731300,
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"author_name": "riemann",
"timestamp": "04/21/2022 14:50:35",
"content": ",w plot r=1-cos(theta) for 0 < theta < pi",
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},
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"id": 966773010361090000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/21/2022 14:50:47",
"content": "Results provided by WolframAlpha",
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},
{
"id": 966773141814792200,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:51:18",
"content": "oh",
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},
{
"id": 966773153453965400,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:51:21",
"content": "i drew this wrong",
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},
{
"id": 966773162366877800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 14:51:23",
"content": "this was wrong. the hole goes through the x-axis*",
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},
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"id": 966773162857627600,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:51:23",
"content": "i see now",
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},
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"id": 966773252955467900,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:51:45",
"content": "this picture is asymmetric for + and - x",
"attachments": [],
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},
{
"id": 966773713389383700,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:53:35",
"content": "i guess the only way to make an apple is to rotate about x",
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},
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"id": 966775058834014200,
"author_id": 306476267916492800,
"author_name": "1080p",
"timestamp": "04/21/2022 14:58:55",
"content": "does the radius need to be constant for change in polar angle to be able to integrate with spherical polar coordinates?",
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},
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"id": 966776185919008800,
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"timestamp": "04/21/2022 15:03:24",
"content": "nope",
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"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 15:13:56",
"content": "@1080p Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 15:18:30",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
f16fc670b29a4fb3bd7fa1b23cce0220
|
199,490 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 15:19:31",
"content": "Available help channel!",
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"timestamp": "04/21/2022 15:32:27",
"content": "Pinned a message.",
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"id": 966783619551101000,
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"author_name": "HP",
"timestamp": "04/21/2022 15:32:56",
"content": "how is the only characteristic value 0?",
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},
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"id": 966784010183393300,
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"author_name": "riemann",
"timestamp": "04/21/2022 15:34:30",
"content": "this channel's occupied. read #❓how-to-get-help",
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"id": 966784420994502700,
"author_id": 552634899668926460,
"author_name": "HP",
"timestamp": "04/21/2022 15:36:07",
"content": "like usually we do det(A-lambda*I)=0",
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"id": 966785072030167000,
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"author_name": "Benjamin",
"timestamp": "04/21/2022 15:38:43",
"content": "here P=X^k is a polynomial such that P(T)=0 right?",
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"id": 966785111624413200,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/21/2022 15:38:52",
"content": "what does this tell about the eigenvalues/characterisitc values for T?",
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"id": 966786921323954200,
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"timestamp": "04/21/2022 15:46:04",
"content": "oh so they gave the characteristic polynomial indirectly",
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"id": 966786979507359900,
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"timestamp": "04/21/2022 15:46:17",
"content": "ic so it implies roots are 0 \nwhich means that eigenvalues are 0",
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"id": 966788840998195200,
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"timestamp": "04/21/2022 15:53:41",
"content": "its not the characteristic polynomial necessarly",
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"id": 966789093914734600,
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"timestamp": "04/21/2022 15:54:42",
"content": "especially the characteristic polynomial is always of degree n",
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"timestamp": "04/21/2022 16:01:18",
"content": "@HP Has your question been resolved?",
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"timestamp": "04/21/2022 16:02:58",
"content": "i mean we can get the charac polynomial from it right? which wld be x^k=0?",
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"timestamp": "04/21/2022 16:04:07",
"content": "the charac polynomial is X^n in this case",
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"id": 966791549021212800,
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"timestamp": "04/21/2022 16:04:27",
"content": "just to clear things up",
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"id": 966791601240281100,
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"timestamp": "04/21/2022 16:04:39",
"content": "if you have P such that P(T) =0",
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"timestamp": "04/21/2022 16:04:49",
"content": "that means that the eigenvalues are among the roots of P",
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"timestamp": "04/21/2022 16:05:05",
"content": "but if P has degree k>n",
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"id": 966791725072941000,
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"timestamp": "04/21/2022 16:05:09",
"content": "you dont have all of them",
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"id": 966792065407156200,
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"author_name": "Benjamin",
"timestamp": "04/21/2022 16:06:30",
"content": "also by definition the characteristic polynomial is equal to the determinant of T-X.In or X.In-T",
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"id": 966792151281320000,
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"timestamp": "04/21/2022 16:06:50",
"content": "(both definitions give the same roots)",
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"id": 966792404285931500,
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"timestamp": "04/21/2022 16:07:51",
"content": "you also know that if Q is the characteristic polynomial Q(T)=0 because of cailey hamilton theorem",
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"timestamp": "04/21/2022 16:09:38",
"content": "so the eigenvalues of T are always among the roots of the characteristic polynomial",
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},
{
"id": 966794292427387000,
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"timestamp": "04/21/2022 16:15:21",
"content": "moreover by its definition",
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"id": 966794357623636000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "04/21/2022 16:15:37",
"content": "the roots of the characteristic polynomials are exactly the eigenvalues",
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{
"id": 966794401395392500,
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"timestamp": "04/21/2022 16:15:47",
"content": "so in this case since T^k=0",
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"id": 966794437604819000,
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"author_name": "Benjamin",
"timestamp": "04/21/2022 16:15:56",
"content": "you know the eigenvalues can only be 0",
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"id": 966794659387019300,
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"timestamp": "04/21/2022 16:16:48",
"content": "so you know the only root of the characteristic polynomial is 0",
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"id": 966794684565430300,
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"timestamp": "04/21/2022 16:16:54",
"content": "since it is of degree n",
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"id": 966794711052484600,
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"timestamp": "04/21/2022 16:17:01",
"content": "it is X^n",
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"timestamp": "04/21/2022 16:30:17",
"content": "ah ty!",
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"timestamp": "04/21/2022 16:31:55",
"content": "also in this question,i didnt quite get the part from \" the space of the characterstic vectors for a given characteristic value\"",
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"timestamp": "04/21/2022 16:32:48",
"content": "i think they are trying to make a point based on subpoint 3 here but it feels they didnt consider all null spaces",
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"id": 966798907566862500,
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"author_name": "Benjamin",
"timestamp": "04/21/2022 16:33:41",
"content": "a characteristic vector x associated with a characteristic value µ is a non 0 vector such that (T-µ.In).x=0 or T.x = µ.x",
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"timestamp": "04/21/2022 16:33:57",
"content": "yess",
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"timestamp": "04/21/2022 16:33:58",
"content": "notice that if you take y = a*x",
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"timestamp": "04/21/2022 16:34:05",
"content": "y is also a characteristic vector",
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"timestamp": "04/21/2022 16:34:22",
"content": "so if you have characteristic vector, you also have a line of characteristic vectors",
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"timestamp": "04/21/2022 16:34:44",
"content": "so you have at least a space of characteristic vectors for µ of dimension 1",
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"timestamp": "04/21/2022 16:34:49",
"content": "(the line)",
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"timestamp": "04/21/2022 16:35:14",
"content": "yea",
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"id": 966799347834560600,
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"timestamp": "04/21/2022 16:35:26",
"content": "so it is at least of dimension 1",
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"id": 966799372421562400,
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"timestamp": "04/21/2022 16:35:32",
"content": "as said in your screenshot",
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"id": 966799409448878100,
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"timestamp": "04/21/2022 16:35:41",
"content": "are you not convinced?",
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"timestamp": "04/21/2022 16:36:07",
"content": "i am \njust trying to make myself convinced abt the jump to saying that is diagnolizable",
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"id": 966799650185154600,
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"timestamp": "04/21/2022 16:36:38",
"content": "oh",
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"timestamp": "04/21/2022 16:36:42",
"content": "you have 3 eigenvalues",
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"timestamp": "04/21/2022 16:36:58",
"content": "and each one of them has a characteristic space of at least 1 dimension",
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"timestamp": "04/21/2022 16:37:18",
"content": "so at least 3 dimensions",
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"timestamp": "04/21/2022 16:37:59",
"content": "yeah",
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"id": 966800053635285000,
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"timestamp": "04/21/2022 16:38:15",
"content": "but your matrix is of dimension 3 aswell",
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"timestamp": "04/21/2022 16:39:26",
"content": "yea",
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"timestamp": "04/21/2022 16:39:54",
"content": "if you take a vector from each of these characteristic spaces it forms a basis of your total vector space right?",
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"timestamp": "04/21/2022 16:40:08",
"content": "they are linearly independant",
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"id": 966800583770116100,
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"timestamp": "04/21/2022 16:40:21",
"content": "and they are as many as there are dimensions",
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"id": 966800638765859000,
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"timestamp": "04/21/2022 16:40:34",
"content": "so you have a basis of eigenvectors",
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"author_name": "Benjamin",
"timestamp": "04/21/2022 16:41:16",
"content": "which is the same as having the Matrix being diagonalizable (by change of basis to this basis composed of eigenvectors)",
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"timestamp": "04/21/2022 16:47:30",
"content": "wait acc to the theorem we need to show that the sum of dimensions of null spaces =dimension of the space\nor are we just not using that :p",
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"content": "yep",
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"timestamp": "04/21/2022 16:51:18",
"content": "thats kinda what we are doing",
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"timestamp": "04/21/2022 16:51:50",
"content": "if by null space you mean { X | (T-µ.In)X=0}",
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"content": "we have 3 null spaces",
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"timestamp": "04/21/2022 16:52:11",
"content": "1 for each eigenvalue",
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"content": "each of them is atleast of dimension 1",
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"timestamp": "04/21/2022 16:52:19",
"content": "yep",
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"timestamp": "04/21/2022 16:52:40",
"content": "so the sum of thei dimensions is at least 3",
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"timestamp": "04/21/2022 16:52:45",
"content": "but we dont know if they equal to 1 \njust atleast right?",
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"timestamp": "04/21/2022 16:52:49",
"content": "but cant be more than 3 since the vector space is of dimension 3",
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"timestamp": "04/21/2022 16:52:55",
"content": "yep just at least",
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"timestamp": "04/21/2022 16:53:10",
"content": "ah that places a restriction",
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"timestamp": "04/21/2022 16:54:31",
"content": "yeah if it was more than 3 you could form a linearly independant family of vectors",
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"timestamp": "04/21/2022 16:54:37",
"content": "by taking the basis of each",
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"content": "null space",
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"timestamp": "04/21/2022 16:54:46",
"content": "and concatenating them",
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"timestamp": "04/21/2022 16:55:08",
"content": "and ytou would have 4+ linearly independant vectors in a vector space of dimension 3",
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"timestamp": "04/21/2022 16:58:22",
"content": "hmm ty!",
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"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 17:28:22",
"content": "@HP Has your question been resolved?",
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"timestamp": "04/21/2022 17:28:41",
"content": "Channel closed",
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] |
help-9
|
ca77a9f9351c4839988d4a326ad4b719
|
199,491 |
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"timestamp": "04/21/2022 17:29:41",
"content": "Available help channel!",
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"content": "Did I do this right?",
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"content": "Seems correct to me.",
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"timestamp": "04/21/2022 17:40:56",
"content": "Thank you. Can you check one more for me?",
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"content": ":JustAsk:",
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"content": "Just look at 3 and down for the work",
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"content": "hm, so everything seems to be fine in my eyes, however I personally would explain the alternating series test more.",
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"content": "for the alternating series test you have to show that the magnitude of each member of the series tends to 0",
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"content": "But you somehow \"replace\" the 2^k-1 with a 1",
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"content": "The result is the same of course",
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"content": "So should the top (-2)^k-1 be a 2^k-1?",
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"content": "Instead of 1",
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"timestamp": "04/21/2022 17:52:10",
"content": "Yeah.",
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"timestamp": "04/21/2022 17:52:30",
"content": "And then 2^k-1 cancels in both the numerator and the denominator?",
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"content": "Basically, for the alternating sequence test you need to show that $a_n \\rightarrow 0$",
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"content": "**Remavas**",
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"content": "Where the sequence itself is a_1 -a_2 + a_3 - a_4+ ...",
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"content": "yup",
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"content": "you still get 0",
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"timestamp": "04/21/2022 17:53:34",
"content": "(and it is evidently non-increasing)",
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"timestamp": "04/21/2022 17:53:38",
"content": "Right. But that should be enough then to show convergence of the endpoint, correct?",
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"timestamp": "04/21/2022 17:53:41",
"content": "Yep",
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"timestamp": "04/21/2022 17:53:45",
"content": "mhm",
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"timestamp": "04/21/2022 17:53:51",
"content": "I wouldn’t need to show absolute or conditional convergence",
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"timestamp": "04/21/2022 17:53:58",
"content": "nope",
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"timestamp": "04/21/2022 17:54:12",
"content": "I mean, as you show later, this series does actually converge absolutely too",
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"timestamp": "04/21/2022 17:54:37",
"content": "Or wait",
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"timestamp": "04/21/2022 17:54:43",
"content": "Alright so change the numerator and have them cancel out, then take the limit of 1/(k+1) which = 0 and I’m good?",
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"timestamp": "04/21/2022 17:54:50",
"content": "Hold on.",
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"timestamp": "04/21/2022 17:54:58",
"content": "The end point 5",
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"timestamp": "04/21/2022 17:55:27",
"content": "You've shown that the members of the series tend to 0",
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"timestamp": "04/21/2022 17:55:35",
"content": "which is great, but doesn't tell you it converges",
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"timestamp": "04/21/2022 17:55:55",
"content": "Why’s that?",
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"timestamp": "04/21/2022 17:56:04",
"content": "Easy.",
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"timestamp": "04/21/2022 17:56:19",
"content": "Does $\\sum_{n=0}^\\infty \\frac{1}{n}$ converge?",
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"timestamp": "04/21/2022 17:56:22",
"content": "**Remavas**",
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"timestamp": "04/21/2022 17:56:27",
"content": "Now",
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"timestamp": "04/21/2022 17:56:30",
"content": "Nope",
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"timestamp": "04/21/2022 17:56:38",
"content": "But 1/n approaches 0 as n tends to infinity",
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"timestamp": "04/21/2022 17:56:49",
"content": "Oh yeah to 0",
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"timestamp": "04/21/2022 17:57:00",
"content": "Wait I’m confused",
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"timestamp": "04/21/2022 17:57:14",
"content": "It diverges.",
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"timestamp": "04/21/2022 17:57:36",
"content": "Per the divergence test?",
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"timestamp": "04/21/2022 17:57:39",
"content": "Just wanted to give you an example of why you can't make the inference that if members of a series tend to 0",
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"content": "it converges",
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"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 17:58:08",
"content": "So what more do I need to do to confirm it?",
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"author_name": "Remavas",
"timestamp": "04/21/2022 17:58:25",
"content": "Either the ratio or root test",
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"author_name": "Remavas",
"timestamp": "04/21/2022 17:58:35",
"content": "Or you can compare it to a sequence you know diverges/converges",
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"id": 966820409255288800,
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"timestamp": "04/21/2022 17:59:08",
"content": "Actually the ratio and root tests would probably give you 1",
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"timestamp": "04/21/2022 17:59:30",
"content": "Alright so the endpoint at x=1 converges per the alternating series test, however, for X=5 I need to do further testing?",
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"timestamp": "04/21/2022 18:00:10",
"content": "yes",
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"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:00:18",
"content": "That’s kinda where I’m confused, all I have left for the endpoint at 5 is just a 1/(k+1)",
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"author_name": "Remavas",
"timestamp": "04/21/2022 18:00:26",
"content": "mhm.",
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"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:00:28",
"content": "I’m not understanding what other test I would use",
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"id": 966820789770920000,
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"author_name": "Remavas",
"timestamp": "04/21/2022 18:00:38",
"content": "Well.",
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"id": 966820926396170200,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:01:11",
"content": "I don't know what tests you know",
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"timestamp": "04/21/2022 18:01:22",
"content": "I see you said ratio or root but I haven’t used ratio for anything other than factorials or exponential",
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"timestamp": "04/21/2022 18:01:31",
"content": "The ratio test would give you 1 here",
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"id": 966821021502033900,
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"author_name": "Remavas",
"timestamp": "04/21/2022 18:01:34",
"content": "so it's useless",
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"id": 966821036941267000,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:01:37",
"content": "I know the limit comparison test but not by heart",
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"timestamp": "04/21/2022 18:01:42",
"content": "Easy",
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"id": 966821244676763600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:02:27",
"content": "If the limits of two sequences members as the index approaches infinity is equal to a constant not equal to 0 (and not infinity), the two sequences converge or diverge together",
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"timestamp": "04/21/2022 18:02:47",
"content": "Ok",
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"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:03:07",
"content": "So let me write it down real quick",
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"id": 966821616455676000,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:03:56",
"content": "Doesn’t that just equal 1?",
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"id": 966821666711806000,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:04:08",
"content": "Well what sequence did you compare it to?",
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{
"id": 966821702917062700,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:04:16",
"content": "1/k",
"attachments": [],
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},
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"id": 966821787918798800,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:04:36",
"content": "Right, so now you've shown that 1/k and 1/(k+1) converge or diverge together",
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"id": 966821827022311600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:04:46",
"content": "What do we know about 1/k?",
"attachments": [],
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},
{
"id": 966821851277971500,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:04:52",
"content": "I forget, harmonic is divergent right?",
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"id": 966821873549733900,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:04:57",
"content": "Yup",
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"id": 966821898644234200,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:05:03",
"content": "I see",
"attachments": [],
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},
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"id": 966821909973053400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:05:06",
"content": "Therefore, 1/(k+1) diverges too",
"attachments": [],
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},
{
"id": 966821950469050400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:05:15",
"content": "Therefore, when x=5, the series diverges.",
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},
{
"id": 966822038918545500,
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"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:05:36",
"content": "Ok so to clarify then, X=1 converges because it passed the alternating series test",
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"id": 966822109584175100,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:05:53",
"content": "Yup.",
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},
{
"id": 966822216476028900,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:06:19",
"content": "I don’t need to do further testing since I know the endpoint at X=1 converges after that alt series test",
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},
{
"id": 966822282561470500,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:06:34",
"content": "Further testing would only show me absolute or conditional convergence",
"attachments": [],
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},
{
"id": 966822358813909100,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:06:53",
"content": "Then for X=5, there’s no need to use the alternating series test",
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},
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"id": 966822398492041300,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:07:02",
"content": "The divergence test is inconclusive",
"attachments": [],
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},
{
"id": 966822453634543600,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:07:15",
"content": "So I need to use the limit comparison test",
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{
"id": 966822526938411000,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:07:33",
"content": "The limit comparison test tells me that 5 diverges",
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{
"id": 966822605573210100,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:07:51",
"content": "Therefore, my endpoints are [1,5)",
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},
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"id": 966822666612924400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:08:06",
"content": "When x=5, it's not an alternating series",
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"id": 966822694999953400,
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"timestamp": "04/21/2022 18:08:13",
"content": "Therefore you cannot use the test.",
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"id": 966822700771319900,
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"timestamp": "04/21/2022 18:08:14",
"content": "Right",
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"id": 966822749144240100,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/21/2022 18:08:26",
"content": "And yep.",
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"id": 966822824901759100,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:08:44",
"content": "Thank you, can’t explain how grateful I am for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966823088656367600,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:09:47",
"content": "I may have questions about my work but I should probably come back later",
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},
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"id": 966823113889292300,
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"author_name": "SteelCurtain322",
"timestamp": "04/21/2022 18:09:53",
"content": "Not the problem we just went over",
"attachments": [],
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},
{
"id": 966826889694044200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 18:24:53",
"content": "@SteelCurtain322 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 18:24:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
3a19b5bce0344bce960f07cf01be2596
|
199,492 |
[
{
"id": 966827160964845600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 18:25:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966827862005018600,
"author_id": 950446080057802800,
"author_name": "Natterman",
"timestamp": "04/21/2022 18:28:45",
"content": "I need the surface area of B and D",
"attachments": [
{
"id": 966827861409431600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/966827861409431592/Screenshot_2022-04-21_133921.png",
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"timestamp": "04/21/2022 18:28:45",
"content": "Pinned a message.",
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"timestamp": "04/21/2022 18:43:45",
"content": "@Natterman Has your question been resolved?",
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"id": 966831753408946200,
"author_id": 263700912109912060,
"author_name": "idiot",
"timestamp": "04/21/2022 18:44:12",
"content": "Why would they be harder than the others?",
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"author_name": "Natterman",
"timestamp": "04/21/2022 18:44:33",
"content": "dont question it",
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},
{
"id": 966831876784410600,
"author_id": 950446080057802800,
"author_name": "Natterman",
"timestamp": "04/21/2022 18:44:42",
"content": "I just need the answer",
"attachments": [],
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},
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"id": 966831899853090800,
"author_id": 950446080057802800,
"author_name": "Natterman",
"timestamp": "04/21/2022 18:44:47",
"content": "/answers",
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},
{
"id": 966832157219774500,
"author_id": 263700912109912060,
"author_name": "idiot",
"timestamp": "04/21/2022 18:45:49",
"content": "D is 39m^2",
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},
{
"id": 966832348534550700,
"author_id": 263700912109912060,
"author_name": "idiot",
"timestamp": "04/21/2022 18:46:34",
"content": "Wait nvm",
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},
{
"id": 966832530428923900,
"author_id": 263700912109912060,
"author_name": "idiot",
"timestamp": "04/21/2022 18:47:18",
"content": "36m^2",
"attachments": [],
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"reference": null
},
{
"id": 966832783743914000,
"author_id": 263700912109912060,
"author_name": "idiot",
"timestamp": "04/21/2022 18:48:18",
"content": "B is 540ft^2",
"attachments": [],
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},
{
"id": 966835413543166000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 18:58:45",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
89c40586367e450f989ee9fcc0c959a4
|
199,493 |
[
{
"id": 966835666270949400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 18:59:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966837329253789700,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:06:22",
"content": "instead of DNE, wouldn't the limit be negative infinity for an | r | value > 1",
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"content": "Pinned a message.",
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"id": 966838116499460100,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:09:29",
"content": "oh wait is it because it could equal either positive or negative infinity",
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},
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"id": 966838127362703500,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:09:32",
"content": "which would make it DNE?",
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"id": 966838973387399200,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/21/2022 19:12:54",
"content": "if r=1 then the limit of r^n indeed doesn't exist. If |r|>1 then yes it could either be + or - infinity",
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},
{
"id": 966839433653547000,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:14:43",
"content": "gotchu thanks",
"attachments": [],
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},
{
"id": 966839437919141900,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:14:45",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 966839439630426200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 19:14:45",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
214e13f47fa8400381bb88c996ee427b
|
199,494 |
[
{
"id": 966839526699987000,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:15:06",
"content": ".reopen",
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},
{
"id": 966839530667802600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 19:15:07",
"content": "✅",
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},
{
"id": 966839564054446100,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/21/2022 19:15:15",
"content": "@R00tKiT ayo j wanna check",
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"author_name": "Flazin",
"timestamp": "04/21/2022 19:15:32",
"content": "so for r = 1, the limit doesnt exist because anything over infinity = undefined",
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"timestamp": "04/21/2022 19:15:47",
"content": "for r > 1, the limit doesnt exist because it could be either positive or negative infinity, correct",
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"timestamp": "04/21/2022 19:15:52",
"content": "ik this is prolly basic stuff but j wanna check",
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"timestamp": "04/21/2022 19:16:18",
"content": "nope just 1. 1 powered to infinity is an indeterminate form",
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"content": "It does exist and it's equal to +/- infinity. AFAIK a limit doesn't exist only if it involves an indeterminate form",
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"timestamp": "04/21/2022 19:17:37",
"content": "*sorry for the first statement I meant that it wouldnt exist because anything over ZERO is undefined",
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"timestamp": "04/21/2022 19:17:44",
"content": "since if r = 1, the denom is 1 - 1, which is 0",
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"timestamp": "04/21/2022 19:18:20",
"content": "If r=1 we don't have the right to write the sum of r^n as 1/(1-r) in the first place.",
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"timestamp": "04/21/2022 19:18:24",
"content": "lmao sorry i get mixed up by all the variables",
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"timestamp": "04/21/2022 19:18:36",
"content": "Haha no prob",
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"content": "aight thanks bro",
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"content": "U welcome",
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"author_name": "Flazin",
"timestamp": "04/21/2022 19:18:51",
"content": ".close",
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"timestamp": "04/21/2022 19:18:51",
"content": "Channel closed",
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}
] |
help-9
|
355e7dc979204866a0e86369141e96c8
|
199,495 |
[
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"timestamp": "04/21/2022 19:25:07",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/21/2022 19:33:02",
"content": "C-E?",
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},
{
"id": 966847577024770200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/21/2022 19:47:05",
"content": "@Helpers",
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},
{
"id": 966848541467246600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 19:50:55",
"content": "```• Ask your math question in a clear, concise manner.\n• Show your work, and if possible, explain where you are stuck.\n```",
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},
{
"id": 966849269703274500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/21/2022 19:53:49",
"content": "I am stuck at questions c-e of #4 I don’t understand the proof methods needed.",
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},
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"id": 966849548427354100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/21/2022 19:54:55",
"content": "https://en.wikipedia.org/wiki/Cycloid",
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},
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"id": 966852978210390000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/21/2022 20:08:33",
"content": ".close",
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"timestamp": "04/21/2022 20:08:33",
"content": "Channel closed",
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] |
help-9
|
871f8786ef2041a9858c026bbfa39087
|
199,496 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 21:40:13",
"content": "Available help channel!",
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},
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"id": 966876355012730900,
"author_id": 262173132268371970,
"author_name": "Mylo",
"timestamp": "04/21/2022 21:41:26",
"content": "Hi friends , I'm looking at\n { (X, Y ) ∈P(A)^2 | X ⊂ Y }\nwhen considering the reflexive property, X ⊂ X cannot be true is that right? as ⊂ implies it is a proper subset?",
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"id": 966876356686262300,
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"timestamp": "04/21/2022 21:41:27",
"content": "Pinned a message.",
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"timestamp": "04/21/2022 21:56:26",
"content": "@Mylo Has your question been resolved?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/21/2022 22:00:49",
"content": "$\\subset$ and $\\subseteq$ are the same thing",
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},
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"id": 966881242635190300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/21/2022 22:00:52",
"content": "**Cogwheels of the mind**",
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"author_id": 262173132268371970,
"author_name": "Mylo",
"timestamp": "04/21/2022 22:01:33",
"content": "are they?..",
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},
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"id": 966881984838246400,
"author_id": 262173132268371970,
"author_name": "Mylo",
"timestamp": "04/21/2022 22:03:48",
"content": "I thought ⊂ = proper subset, and ⊆ is a subset",
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"id": 966882134130315400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/21/2022 22:04:24",
"content": "According to wiki they are the same",
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"id": 966882370475143300,
"author_id": 262173132268371970,
"author_name": "Mylo",
"timestamp": "04/21/2022 22:05:20",
"content": "if D = {3,4,5}",
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"id": 966882473873117300,
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"author_name": "Mylo",
"timestamp": "04/21/2022 22:05:45",
"content": "at least that's what I was using.. 🤔",
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"id": 966883489184104400,
"author_id": 826318983413366800,
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"timestamp": "04/21/2022 22:09:47",
"content": "Funny. Then it depends on which version you are allowed to use then",
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"timestamp": "04/21/2022 22:25:41",
"content": ".close",
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"timestamp": "04/21/2022 22:25:42",
"content": "Channel closed",
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}
] |
help-9
|
7cef3f2e26e54dc3ba33c31a0734ac8d
|
199,497 |
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"content": "Available help channel!",
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"author_name": "$ alan",
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"author_id": 739777021374103600,
"author_name": "$ alan",
"timestamp": "04/21/2022 23:07:05",
"content": "i need to know the angle of h and how to solve for it",
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"id": 966899738827952100,
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"author_name": "rinne",
"timestamp": "04/21/2022 23:14:21",
"content": "there's this rule",
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"author_name": "$ alan",
"timestamp": "04/21/2022 23:15:00",
"content": "is it that a triangle= 180 degrees?",
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"timestamp": "04/21/2022 23:15:17",
"content": "but this isn't a triangle right",
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"id": 966899997394235400,
"author_id": 739777021374103600,
"author_name": "$ alan",
"timestamp": "04/21/2022 23:15:23",
"content": "yeah",
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"id": 966900037663731700,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "04/21/2022 23:15:33",
"content": "it's a quadrilateral.",
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"id": 966900102423793700,
"author_id": 739777021374103600,
"author_name": "$ alan",
"timestamp": "04/21/2022 23:15:48",
"content": "yep",
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"id": 966900135554605000,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "04/21/2022 23:15:56",
"content": "in a quadrilateral, sum of interior angles is 360 deg",
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"id": 966900243457253400,
"author_id": 739777021374103600,
"author_name": "$ alan",
"timestamp": "04/21/2022 23:16:22",
"content": "is it 233?",
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"id": 966900280799141900,
"author_id": 739777021374103600,
"author_name": "$ alan",
"timestamp": "04/21/2022 23:16:31",
"content": "wait",
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"id": 966900321748156400,
"author_id": 739777021374103600,
"author_name": "$ alan",
"timestamp": "04/21/2022 23:16:40",
"content": "127?",
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"id": 966900341457186800,
"author_id": 885158232446881800,
"author_name": "rinne",
"timestamp": "04/21/2022 23:16:45",
"content": "the interior angle opposite to h would be 360-h, wouldnt you agree?",
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"id": 966900400605245400,
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"timestamp": "04/21/2022 23:16:59",
"content": "yeah",
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"id": 966900423720063000,
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"timestamp": "04/21/2022 23:17:05",
"content": "oih okkk",
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"id": 966900429474631800,
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"author_name": "$ alan",
"timestamp": "04/21/2022 23:17:06",
"content": "tysm",
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"id": 966900523708084200,
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"author_name": "rinne",
"timestamp": "04/21/2022 23:17:28",
"content": "no prob",
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"id": 966901533977481200,
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"author_name": "$ alan",
"timestamp": "04/21/2022 23:21:29",
"content": ".close",
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},
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"timestamp": "04/21/2022 23:21:30",
"content": "Channel closed",
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] |
help-9
|
951358db6b2b4d4fb21fe60834bb2c91
|
199,498 |
[
{
"id": 956229381351674000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 12:34:10",
"content": "Available help channel!",
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},
{
"id": 956230465256321000,
"author_id": 650796989881253900,
"author_name": "HappyAccident",
"timestamp": "03/23/2022 12:38:28",
"content": "Statistics\nBrain is blanking, how do I do this?",
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"content": "Pinned a message.",
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{
"id": 956231615355437000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:43:03",
"content": "do you know about z-scores?",
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},
{
"id": 956231645831241700,
"author_id": 645002473882517500,
"author_name": "Mapache",
"timestamp": "03/23/2022 12:43:10",
"content": "would it be sin^2?",
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"timestamp": "03/23/2022 12:43:42",
"content": "close, but no",
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"author_name": "HappyAccident",
"timestamp": "03/23/2022 12:46:20",
"content": "Yeah the lesson is over z scores",
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},
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"id": 956232523162210300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:46:39",
"content": "ok, that makes this easier",
"attachments": [],
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"nickname": "HappyAccident",
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},
{
"id": 956232771397882000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:47:38",
"content": "since the mean is 0 and the standard deviation is 1, this is already in standard normal form. So standard deviation is z",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956232829254139900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:47:52",
"content": "a) is basically asking for the probability z is greater than 2",
"attachments": [],
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"reference": null
},
{
"id": 956233214513528800,
"author_id": 650796989881253900,
"author_name": "HappyAccident",
"timestamp": "03/23/2022 12:49:24",
"content": "I er\nThat's where it confuses me\nBecause I can work with it if it's numbers I can plug into a formula\nHow do I find that?",
"attachments": [],
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},
{
"id": 956233590100852700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:50:53",
"content": "P(Z>2)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956233900705845200,
"author_id": 645002473882517500,
"author_name": "Mapache",
"timestamp": "03/23/2022 12:52:07",
"content": "sin^2(Ln(x)) or Ln(x) it self?",
"attachments": [],
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},
{
"id": 956234042402013300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/23/2022 12:52:41",
"content": "i can't help two of you in one channel, choose an empty channel and I can help there",
"attachments": [],
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{
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},
{
"id": 956234094658867300,
"author_id": 650796989881253900,
"author_name": "HappyAccident",
"timestamp": "03/23/2022 12:52:54",
"content": "I'm good now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956234110664315000,
"author_id": 650796989881253900,
"author_name": "HappyAccident",
"timestamp": "03/23/2022 12:52:57",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956234112522420200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 12:52:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a5ea0a6cc4dd407c8ad2d1f43ea12a0b
|
199,499 |
[
{
"id": 966901788513030300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 23:22:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966903395107618800,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:28:53",
"content": "The percentage of loss is r% when n number of oranges are sold at Dollar 1, to make s% profit how many oranges should be sold at Dollar 1? How would you even approach this?",
"attachments": [],
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"reference": null
},
{
"id": 966903397338980400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 23:28:54",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 966903395107618800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 966907171151417300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 23:43:53",
"content": "@RWesLeGenD Has your question been resolved?",
"attachments": [],
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{
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"name": "RWesLeGenD",
"discriminator": "4474",
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],
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},
{
"id": 966907277057613800,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:44:19",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966907363745472500,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "04/21/2022 23:44:39",
"content": "what is dollar 1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966907408528080900,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:44:50",
"content": "Same as 1 dollar",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966907764867727400,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "04/21/2022 23:46:15",
"content": "question is worded really weirdly in my opinion",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966907853636005900,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "04/21/2022 23:46:36",
"content": "like I don't fully understand what it is even asking",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908038030164000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:47:20",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908096742052000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:47:34",
"content": "Profit = Selling Price - Cost",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908149288284200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:47:47",
"content": "this can be negative when selling price exceeds cost",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908242900951000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:48:09",
"content": "now we want to find the percentage of profit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908243215536100,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:48:09",
"content": "How do I find the cost and selling price here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908391945564200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:48:44",
"content": "so then:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908597634220000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:49:33",
"content": "$\\textrm{%Profit} = \\frac{ \\textrm{Selling Price} - \\textrm{Cost} }{ \\textrm{Cost} } \\times 100%$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966908904221081600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/21/2022 23:50:47",
"content": "**EndTimes**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/966908903856164914/551269104800104449.png",
"fileName": "551269104800104449.png",
"fileSizeBytes": 4641
}
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},
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"id": 966908957417406500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:50:59",
"content": "i'll just type it out haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909001851895900,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:51:10",
"content": "sure",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909012773843000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:51:12",
"content": "%Profit = (Selling Price - Cost)/(Cost)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909025872642000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:51:16",
"content": "as a percentage",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909129698455700,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:51:40",
"content": "yes but how do I find selling price and cost price here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909175013728300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:51:51",
"content": "you are given the selling price",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909362599788500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:52:36",
"content": "which is $1 per unit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909429733810200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:52:52",
"content": "so then we have:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909480744923100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/21/2022 23:53:04",
"content": "(n($1) - n(Cost))/(Cost) = -r%",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909690694996000,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:53:54",
"content": "Oh alright",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909724996030500,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:54:02",
"content": "Let me try it out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909755014660100,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:54:09",
"content": "Thanks for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966909806411649000,
"author_id": 836937698211790800,
"author_name": "RWesLeGenD",
"timestamp": "04/21/2022 23:54:22",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 966909807816769500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 23:54:22",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
9a9f91c8f22a4e398f464ee2b9d7b69c
|
199,500 |
[
{
"id": 966910060758454300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/21/2022 23:55:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966911432715292700,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:00:49",
"content": "messing around with geometric proofs for quadratics, decided to try doing the same for a cubic, I have my binomial raised to the third power, (x+ b/3a) ^ 3, and on the other side of the equation are the volumes that I subtracted, as well as the rectangular prisms that I added to both sides in an attempt to complete the cube, the cube is complete, but unfortunately I am left with x's on both sides of the equation, I'm not quite sure how to move on or isolate the x's in any meaningful way",
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},
{
"id": 966911434619490300,
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 00:00:50",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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"id": 966912145377878100,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:03:39",
"content": "",
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"id": 966912196267343900,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:03:51",
"content": "attempting to solve for X",
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"mentions": [],
"reference": null
},
{
"id": 966912718164619300,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:05:56",
"content": "I could bring the entire thing through and have a radical with x under it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966912737772994600,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:06:01",
"content": "although,",
"attachments": [],
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"reference": null
},
{
"id": 966912760871006200,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:06:06",
"content": "I don't think that would benefit me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966912822791508000,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:06:21",
"content": "being more tautological than not",
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"reference": null
},
{
"id": 966913844985360400,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:10:25",
"content": "@Hedgar 👹 look. maybe you have input",
"attachments": [],
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"name": "Hedgar",
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},
{
"id": 966915160226807800,
"author_id": 811335009415200800,
"author_name": "Hedgar",
"timestamp": "04/22/2022 00:15:38",
"content": "wtf youre here",
"attachments": [],
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},
{
"id": 966915320327577700,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:16:16",
"content": "yes",
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},
{
"id": 966916050593656800,
"author_id": 503066353348116500,
"author_name": "SealLovah",
"timestamp": "04/22/2022 00:19:10",
"content": "do you have input or no lmao",
"attachments": [],
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"id": 966919826528432100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 00:34:11",
"content": "@SealLovah Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 01:07:50",
"content": "@SealLovah Has your question been resolved?",
"attachments": [],
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"id": 966943561746640900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 02:08:30",
"content": "@SealLovah Has your question been resolved?",
"attachments": [],
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{
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"name": "SealLovah",
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"id": 966958661865963500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 03:08:30",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
4992ae0c21474d368d72db36d952fd66
|
199,501 |
[
{
"id": 966958914631520300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 03:09:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966960811597762600,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/22/2022 03:17:02",
"content": "",
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"id": 966960814202421200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 03:17:03",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 966960877708390500,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/22/2022 03:17:18",
"content": "guys how do i figure out that tanx/2 works best",
"attachments": [],
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},
{
"id": 966960916396671000,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/22/2022 03:17:27",
"content": "like wats the reason",
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},
{
"id": 966964692255912000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 03:32:27",
"content": "@iron man Has your question been resolved?",
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{
"id": 966966748400209900,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "04/22/2022 03:40:38",
"content": "This is just a standard trick called a Weierstrass substitution for these kind of integrals.",
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},
{
"id": 966966781468094500,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "04/22/2022 03:40:46",
"content": "See: https://en.wikipedia.org/wiki/Weierstrass_substitution",
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},
{
"id": 966967130195107800,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "04/22/2022 03:42:09",
"content": "That substitution gives you an easy way to convert sin and cos into rational functions of t which lets you use partial fractions.",
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"timestamp": "04/22/2022 03:47:28",
"content": "Channel closed",
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help-9
|
39af600239724bde8e9ccce433d4e2b3
|
199,502 |
[
{
"id": 966995314424827900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 05:34:08",
"content": "Available help channel!",
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},
{
"id": 966998631230079000,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/22/2022 05:47:19",
"content": "I need some help. I don't know what formula to use. \n\nIn the problem, I am given 5 main course dishes, 3 side dishes and 4 drinks. \n\nNow what I am to find is how many meals (one main course dish, one side dish and 1 drink) I can create.",
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 05:47:20",
"content": "Pinned a message.",
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"id": 966999416965828700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:50:26",
"content": "let's say you can enter a movie hall from 2 doors, door A and B, and you can exit it through 3 exits, X, Y and Z. \n\nHow many ways can you enter and leave?",
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"id": 966999481432293400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:50:42",
"content": "Try to list each case and see",
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},
{
"id": 966999899314991200,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/22/2022 05:52:21",
"content": "AX ,BX, AY, BY, AZ, BZ",
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},
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"id": 966999922350100500,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/22/2022 05:52:27",
"content": "That's a total of six.",
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},
{
"id": 966999950581989400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:52:34",
"content": "Correct",
"attachments": [],
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},
{
"id": 967000045331304400,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:52:56",
"content": "So you can enter through 2 ways and leave through 3 so you could do both in 2 x 3 ways",
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},
{
"id": 967000184129200100,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:53:29",
"content": "in general if you can do something in m ways and another in n ways you can do them together in m x n ways",
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"id": 967000190517121000,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/22/2022 05:53:31",
"content": "So I can have about 60 meals?",
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},
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"id": 967000263552540700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:53:48",
"content": "not about, exactly 60 meals",
"attachments": [],
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},
{
"id": 967000266413056000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:53:49",
"content": "yep",
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},
{
"id": 967000292954611700,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/22/2022 05:53:55",
"content": "Thanks. 🙂",
"attachments": [],
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},
{
"id": 967000466749792300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:54:37",
"content": "it's like for each main dish there are 3 side dish options and for each of the 3 side dishes 4 drinks",
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},
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"id": 967000527445557200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/22/2022 05:54:51",
"content": "5 x 3 x 4",
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},
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"id": 967003619952037900,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/22/2022 06:07:09",
"content": ".close",
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},
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"id": 967003621709467600,
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 06:07:09",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
8c6a9a70326a42df9ca87b9402735d7d
|
199,503 |
[
{
"id": 967011367347449900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 06:37:56",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 967021133025132500,
"author_id": 845388501011791900,
"author_name": "SnxgxYT",
"timestamp": "04/22/2022 07:16:44",
"content": ".reopen",
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},
{
"id": 967025727729971200,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 07:34:59",
"content": "Find the value of x in the range 0<x<π where the gradient of the curve y= sin x ÷ (1-cos x) is -1",
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},
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"id": 967025729961357300,
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 07:35:00",
"content": "Pinned a message.",
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}
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"id": 967025888447307800,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 07:35:38",
"content": "my answer booklet says π/2 but I'm unsure of how to get to it",
"attachments": [],
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},
{
"id": 967026062611583000,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/22/2022 07:36:19",
"content": "$\\frac {sin x}{1- cos x}$",
"attachments": [],
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"id": 967026074049478700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 07:36:22",
"content": "**Sus**",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/967026074120777748/931398012809392168.png",
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"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 07:37:21",
"content": "yeah thats what it displays",
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},
{
"id": 967027575241211900,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/22/2022 07:42:20",
"content": "differentiation doesn't give u the answer?",
"attachments": [],
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 07:46:55",
"content": "Is it just differentiation by the quotient formula ?",
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},
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"id": 967032505108676600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 08:01:55",
"content": "@Rooms By The Sea Has your question been resolved?",
"attachments": [],
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"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 08:03:00",
"content": "@Helpers",
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},
{
"id": 967040325673685000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 08:33:00",
"content": "@Rooms By The Sea Has your question been resolved?",
"attachments": [],
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},
{
"id": 967040466203865100,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 08:33:33",
"content": "Can someone help me",
"attachments": [],
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},
{
"id": 967042695178629200,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/22/2022 08:42:25",
"content": "yes",
"attachments": [],
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"id": 967047978122621000,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 09:03:24",
"content": "This differential ends up a lot of trig functions so I'm unsure how can I link it back to my original y-function to find my x-values ?",
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"id": 967048252786614300,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 09:04:30",
"content": "do i have to substitute in trig identities ?",
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},
{
"id": 967051541716558000,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/22/2022 09:17:34",
"content": "you do not have to link it to you original function. You now have to find the x, so that your differential is equal to -1",
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{
"id": 967055158129336300,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/22/2022 09:31:56",
"content": "how do you find the x value because my differential is : dy/dx = [(1-cos x) (cos x) - (sin x)(sin x)] ÷ (1-cos x)^2",
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{
"id": 967055964593344500,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "04/22/2022 09:35:08",
"content": "(cosx(1-cosx) - sin^2(x))/(1-cosx)^2\n= (cos - cos^2 - sin^2)/(1-cosx)^2\n= (cos - 1)/(1-cos)^2\n= 1/(cos - 1)\n\nand set that to -1",
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 10:31:56",
"content": "@Rooms By The Sea Has your question been resolved?",
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"timestamp": "04/22/2022 11:31:57",
"content": "Channel closed",
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}
] |
help-9
|
6b053e1298f94c6fa2d2edabfb62b7dd
|
199,504 |
[
{
"id": 967097025684439000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 12:18:18",
"content": "Available help channel!",
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},
{
"id": 967097450886213600,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:20:00",
"content": "Grade 8 math algebra\ni need to turn this statement into a algebraic equation then solve it for the variable.\nFive times the sum of a number and 2, then the result raised to the second power is 400. What is the number?",
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"timestamp": "04/22/2022 12:20:00",
"content": "Pinned a message.",
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{
"id": 967098707654873100,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:24:59",
"content": "You should be able to figure this out. How would you formulate \"Five times the sum of a number and 2\" algebraically",
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"id": 967098882100191200,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:25:41",
"content": "5n + 2",
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},
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"id": 967098944842789000,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:25:56",
"content": "we di this a while ago then we came back to it now and forgot everthing",
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"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:26:16",
"content": "No. that's the sum of 5 times n and 2.",
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"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:26:34",
"content": "not what they asked for",
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},
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"id": 967099191794991200,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:26:55",
"content": "5(n + 2)",
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},
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"id": 967099194605195400,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:26:55",
"content": "?",
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"id": 967099236976066600,
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"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:27:05",
"content": "Correct!",
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"id": 967099335462514700,
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"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:27:29",
"content": "Now the remaining part : the result raised to the second power is 400",
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"id": 967099440819228800,
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"author_name": "Bam",
"timestamp": "04/22/2022 12:27:54",
"content": "5(n + 2)^2 = 400",
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},
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"id": 967099530728313000,
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"author_name": "Bam",
"timestamp": "04/22/2022 12:28:15",
"content": "wait no",
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"id": 967099621069443100,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:28:37",
"content": "I dont know",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:28:37",
"content": "almost there .. be careful with parentheses. Written this way, 5 isn't raised to the second power",
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"timestamp": "04/22/2022 12:28:53",
"content": "is it",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:29:05",
"content": "what is a(b+c) raised to the second power?",
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"id": 967099963236577300,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:29:59",
"content": "ab^2 + ac^2",
"attachments": [],
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},
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"id": 967100076637966300,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:30:26",
"content": "Nope. Did you raise a to the second power ?",
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"id": 967100226437546000,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 12:31:01",
"content": "a^2(b+c)",
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},
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"id": 967100352874823700,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:31:31",
"content": "Correct but you again left off (b+c), the question is to raise everything to the second power",
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"id": 967100506466046100,
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"author_name": "Bam",
"timestamp": "04/22/2022 12:32:08",
"content": "but when the number is against the bracket like that we use the distributive property right",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:32:48",
"content": "Well you didn't use it above.",
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"author_name": "R00tKiT",
"timestamp": "04/22/2022 12:33:01",
"content": "you distributed the exponent only for a",
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"timestamp": "04/22/2022 12:33:52",
"content": "a^2b + a^2c",
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"content": "(b+c)^2 isn't equal to b^2 + c^2. and again you didn't use the distributive property right",
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"content": "what does this property say ?",
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"timestamp": "04/22/2022 12:35:21",
"content": "take the things outside the brackets and multiply them by the things in the inside?",
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"content": "How would you formulate that algebraically",
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"content": "say you have (ab)^m",
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"content": "(ab)^m = ....?",
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"content": "= ab^2",
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"content": "or is it",
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"timestamp": "04/22/2022 12:37:00",
"content": "a^2b^2",
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"timestamp": "04/22/2022 12:37:24",
"content": "That's the correct one. But we don't have 2 here, we have m",
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"content": "oh ok",
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"timestamp": "04/22/2022 12:37:58",
"content": "So (a(b+c))^2 = ....?",
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"timestamp": "04/22/2022 12:39:12",
"content": "a^2b^2 + c^2a^2",
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"timestamp": "04/22/2022 12:39:42",
"content": "Not quite. How did you get this result ?",
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"timestamp": "04/22/2022 12:39:49",
"content": "What are the intermediary steps",
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"timestamp": "04/22/2022 12:40:01",
"content": "was i supposed to do it like this instead",
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"timestamp": "04/22/2022 12:40:29",
"content": "if you just apply the distributive property to (a(b+c))^2 what do you get ?",
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"content": "actually",
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"content": "Don't skip any steps",
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"timestamp": "04/22/2022 12:41:01",
"content": "(ab + ca)^2",
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"timestamp": "04/22/2022 12:41:03",
"content": "then",
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"timestamp": "04/22/2022 12:42:05",
"content": "That's correct. But you didn't distribute the exponent here",
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"timestamp": "04/22/2022 12:42:08",
"content": "a*^2b*^2",
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"content": "That's equal to (ab)^2, not (a(b+c))^2",
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"content": "i am not sure then",
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"timestamp": "04/22/2022 12:42:43",
"content": "if I set d=b+c",
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"timestamp": "04/22/2022 12:42:47",
"content": "what is (ad)^2",
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"timestamp": "04/22/2022 12:43:29",
"content": "a^2d^2",
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"timestamp": "04/22/2022 12:43:35",
"content": "or did u want me to subsitute the d",
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"timestamp": "04/22/2022 12:43:38",
"content": "for the b + c",
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"timestamp": "04/22/2022 12:43:38",
"content": "Correct!",
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"content": "oh",
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"content": "Yep, now just replace d",
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"content": "what do you get ?",
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"timestamp": "04/22/2022 12:44:33",
"content": "a^2B^2 + c^2",
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"timestamp": "04/22/2022 12:44:57",
"content": "Not quite. What's the step before that",
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"timestamp": "04/22/2022 12:45:22",
"content": "(ad)^2 = a^2d^2 = a^2 (?)^2",
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"content": "don't expand it yet",
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"timestamp": "04/22/2022 12:46:27",
"content": "a^2b^2c^2",
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"timestamp": "04/22/2022 12:47:05",
"content": "or is it a^2b^2 + c^2",
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"timestamp": "04/22/2022 12:47:11",
"content": "Neither.",
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"timestamp": "04/22/2022 12:47:13",
"content": "Don't expand yet",
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"timestamp": "04/22/2022 12:47:21",
"content": "do you mean",
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"timestamp": "04/22/2022 12:47:24",
"content": "abc^2",
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"timestamp": "04/22/2022 12:47:53",
"content": "I mean, only apply the property (ab)^m = a^m*b^m to (a(b+c))^2 without doing any algebraic manipulation",
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"timestamp": "04/22/2022 12:49:04",
"content": "wait dose that mean that my original question is 5((n +2))^2",
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"timestamp": "04/22/2022 12:50:35",
"content": "Almost! You forgot to raise 5 to the second power",
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"timestamp": "04/22/2022 12:51:09",
"content": "5^2((n +2))",
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"timestamp": "04/22/2022 12:51:10",
"content": "like that",
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"timestamp": "04/22/2022 12:51:33",
"content": "or",
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"timestamp": "04/22/2022 12:51:42",
"content": "You forgot the other part again !!",
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"timestamp": "04/22/2022 12:51:50",
"content": "Raise both factors to the second power",
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"timestamp": "04/22/2022 12:51:53",
"content": "not just one",
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"content": "the ^2 is getting distributive property done to it if I do it like that right",
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"timestamp": "04/22/2022 12:53:32",
"content": "^2(5(n +2))",
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"timestamp": "04/22/2022 12:53:43",
"content": "?",
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"timestamp": "04/22/2022 12:54:04",
"content": "thats wrong",
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"timestamp": "04/22/2022 12:54:05",
"content": "is it",
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"timestamp": "04/22/2022 12:54:11",
"content": "It's 5^2 *(n+2)^2",
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"timestamp": "04/22/2022 12:54:20",
"content": "",
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"timestamp": "04/22/2022 12:54:26",
"content": "Yep, you can't write the exponent like that",
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"timestamp": "04/22/2022 12:54:35",
"content": "look at the 3 one",
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"timestamp": "04/22/2022 12:55:01",
"content": "everything gets multiplied",
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"timestamp": "04/22/2022 12:55:41",
"content": "what do you mean by everything ?",
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"timestamp": "04/22/2022 12:55:50",
"content": "inside the brakets",
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"content": "so",
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"timestamp": "04/22/2022 12:55:58",
"content": "(ab)x",
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"timestamp": "04/22/2022 12:56:02",
"content": "the a and b",
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"timestamp": "04/22/2022 12:56:05",
"content": "but here (a(b+c))^2 you have nested brackets",
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"timestamp": "04/22/2022 12:56:21",
"content": "nested means?",
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"timestamp": "04/22/2022 12:56:23",
"content": "what are the factors in (a(b+c))^2",
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"timestamp": "04/22/2022 12:56:30",
"content": "brackets inside other brackets",
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"timestamp": "04/22/2022 12:56:35",
"content": "but let's forget that",
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"content": "what are the factors in (a(b+c))^2",
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"content": "Sorry kind of confused here",
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"content": "(a(b+c))^2",
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"content": "the ^2 makes the a become a^2",
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"content": "so then it looks like",
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"content": "a^2 * (b+c)",
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"content": "Yep but why do you leave out (b+c)",
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"content": "You got the first part right",
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"content": "oh",
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"timestamp": "04/22/2022 13:00:13",
"content": "a^2 * (b^2+c^2)",
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"timestamp": "04/22/2022 13:00:37",
"content": "Nope. I don't know how you got b^2+c^2",
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"timestamp": "04/22/2022 13:00:59",
"content": "am i not supposed to take the ^2 from earlier and put them on the b and c",
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"content": "Nope",
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"content": "b and c are not the factors",
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"timestamp": "04/22/2022 13:01:27",
"content": "factors meaning?",
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"timestamp": "04/22/2022 13:01:27",
"content": "what are the factors in a(b+c)",
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"timestamp": "04/22/2022 13:01:32",
"content": "the things that do the affecting?",
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"timestamp": "04/22/2022 13:02:04",
"content": "factors mean elements that are multipled by something else. The factors in 6*2 are 6 and 2 for example",
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"timestamp": "04/22/2022 13:02:19",
"content": "What are the factors in 6*(1+1)",
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"content": "1",
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"timestamp": "04/22/2022 13:03:53",
"content": "Nope !",
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"timestamp": "04/22/2022 13:04:00",
"content": "what is it then?",
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"timestamp": "04/22/2022 13:04:20",
"content": "Let's take a simpler example, what are the factors in 2+3 ?",
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"timestamp": "04/22/2022 13:04:30",
"content": "notice that there is an addition not a multiplication",
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"timestamp": "04/22/2022 13:04:36",
"content": "there are no factors",
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"timestamp": "04/22/2022 13:04:49",
"content": "Well there is 2+3 itself",
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"content": "5",
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"timestamp": "04/22/2022 13:04:55",
"content": "but that's it",
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"timestamp": "04/22/2022 13:05:03",
"content": "the factors are just",
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"timestamp": "04/22/2022 13:05:04",
"content": "2",
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"timestamp": "04/22/2022 13:05:05",
"content": "and",
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"timestamp": "04/22/2022 13:05:05",
"content": "3",
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"content": "there",
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"timestamp": "04/22/2022 13:05:16",
"content": "Nope because 2 isn't multiplied by 3",
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"timestamp": "04/22/2022 13:05:19",
"content": "It's added to 3",
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"timestamp": "04/22/2022 13:05:47",
"content": "wait whould the factors of 6+2",
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"content": "be",
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"content": "1",
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"content": "Nope!",
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"timestamp": "04/22/2022 13:06:10",
"content": "there is no multiplication in 6+2",
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"timestamp": "04/22/2022 13:06:12",
"content": "it's just 8",
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"timestamp": "04/22/2022 13:06:21",
"content": "so it has to have multplication",
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"timestamp": "04/22/2022 13:06:33",
"content": "Yep.",
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"timestamp": "04/22/2022 13:06:43",
"content": "So in 6(2+3) what are the factors",
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"timestamp": "04/22/2022 13:07:24",
"content": "5",
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"timestamp": "04/22/2022 13:07:27",
"content": "and",
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"content": "6",
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"timestamp": "04/22/2022 13:07:38",
"content": "i only have till 1:15",
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"content": "exactly !",
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"timestamp": "04/22/2022 13:09:13",
"content": "Now what are the factors in a(b+c)",
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"content": "What do you mean by bc ?",
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"timestamp": "04/22/2022 13:10:13",
"content": "where is bc in the expression",
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"timestamp": "04/22/2022 13:10:14",
"content": "wait",
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"content": "its",
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"timestamp": "04/22/2022 13:10:28",
"content": "a",
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"timestamp": "04/22/2022 13:10:37",
"content": "is it just a",
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"content": "No",
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"timestamp": "04/22/2022 13:12:16",
"content": "It's a and something else",
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"timestamp": "04/22/2022 13:12:23",
"content": "what's multiplied by a ?",
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"timestamp": "04/22/2022 13:12:30",
"content": "in a(b+c)",
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"timestamp": "04/22/2022 13:13:18",
"content": "b",
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"timestamp": "04/22/2022 13:15:25",
"content": "Nope. Recall that in 6(2+3) you told me that 6 and 5 are the factors. so in a(b+c) what would be the factors ? if you take just b. it would be 6 and 2 in the first example wouldn't it",
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"timestamp": "04/22/2022 13:16:23",
"content": "yes",
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"content": "so",
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"timestamp": "04/22/2022 13:16:26",
"content": "its",
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"timestamp": "04/22/2022 13:16:49",
"content": "a\nand",
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"timestamp": "04/22/2022 13:16:56",
"content": "and ?",
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"content": "something to do with b and c",
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"timestamp": "04/22/2022 13:17:01",
"content": "not sure if i",
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"timestamp": "04/22/2022 13:17:03",
"content": "which is ?",
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"timestamp": "04/22/2022 13:17:04",
"content": "multiply them",
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"timestamp": "04/22/2022 13:17:08",
"content": "its both",
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"timestamp": "04/22/2022 13:17:09",
"content": "but",
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},
{
"id": 967111844953206800,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:17:11",
"content": "together",
"attachments": [],
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},
{
"id": 967111850384830500,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:17:13",
"content": "why would you multiply them ??",
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},
{
"id": 967111852066734100,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:17:13",
"content": "so like",
"attachments": [],
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},
{
"id": 967111863085195400,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:17:16",
"content": "they're not multiplied",
"attachments": [],
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"reference": null
},
{
"id": 967111893430972500,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:17:23",
"content": "why would you change the expression",
"attachments": [],
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"reference": null
},
{
"id": 967111974485893100,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:17:42",
"content": "a\nB\nc",
"attachments": [],
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"reference": null
},
{
"id": 967111993926504400,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:17:47",
"content": "is it all of them",
"attachments": [],
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},
{
"id": 967112295593410600,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:18:59",
"content": "I have to go now",
"attachments": [],
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"reference": null
},
{
"id": 967112297497645000,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:18:59",
"content": "so",
"attachments": [],
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},
{
"id": 967112331949658100,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:19:08",
"content": "quickly back to the original question",
"attachments": [],
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},
{
"id": 967112349737713700,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:19:12",
"content": "i need to turn this statement into a algebraic equation then solve it for the variable.\nFive times the sum of a number and 2, then the result raised to the second power is 400. What is the number?",
"attachments": [],
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},
{
"id": 967112361595007000,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:19:15",
"content": "what whould it be",
"attachments": [],
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},
{
"id": 967112377155850400,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:19:18",
"content": "ill figure the rest",
"attachments": [],
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},
{
"id": 967112380003790800,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:19:19",
"content": "out",
"attachments": [],
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"reference": null
},
{
"id": 967112398534225900,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:19:23",
"content": "from an exmaple",
"attachments": [],
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},
{
"id": 967112527911735400,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:19:54",
"content": "it's a and (b+c)",
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},
{
"id": 967112550204448800,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:20:00",
"content": "b+c is a factor on its own",
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},
{
"id": 967112569598914600,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:20:04",
"content": "oh",
"attachments": [],
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},
{
"id": 967112678176849900,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:20:30",
"content": "So in your example it's (5(n+2))^2 = 5^2 (n+2)^2 = 25(n+2)^2",
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},
{
"id": 967112699592978400,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:20:35",
"content": "It'll let you solve the equation now",
"attachments": [],
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},
{
"id": 967112736267985000,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "04/22/2022 13:20:44",
"content": "but make sure you understand this",
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},
{
"id": 967113609278812200,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:24:12",
"content": "25(n+2)^2 \n25n^2 + 100n + 100 = 400\n25n^2 + 100n + 100 − 400 = 400 − 400\n25n^2 + 100n - 300 = 0\n25(n - 2)(n+6) = 0\nn = 2",
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},
{
"id": 967113827864948700,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:25:04",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967113854251335700,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:25:10",
"content": "for helping me learn this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967113870487470200,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:25:14",
"content": "i have to go now but",
"attachments": [],
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"reference": null
},
{
"id": 967113877189967900,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:25:16",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967113884861366300,
"author_id": 380860340281409540,
"author_name": "Bam",
"timestamp": "04/22/2022 13:25:18",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967113886333542500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 13:25:18",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ee33407efe16453f84066585243aed01
|
199,505 |
[
{
"id": 967114139145224200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 13:26:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967114888658944000,
"author_id": 745054042606141400,
"author_name": "beanie",
"timestamp": "04/22/2022 13:29:17",
"content": "Given the following hyperplane, x_1 + 3x_2 + 4 = 0, what is the normal vector?",
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"reference": null
},
{
"id": 967114890957443100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 13:29:18",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 967114888658944000,
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{
"id": 967115079197802500,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/22/2022 13:30:03",
"content": "What is a normal vector?",
"attachments": [],
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},
{
"id": 967115322354184200,
"author_id": 745054042606141400,
"author_name": "beanie",
"timestamp": "04/22/2022 13:31:00",
"content": "The vector perpendicular to the hyperplane",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967115574608023600,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/22/2022 13:32:01",
"content": "What does perpendicular mean?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967115813691744300,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/22/2022 13:32:58",
"content": "Well I don't think that's going to help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967115892347523100,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/22/2022 13:33:16",
"content": "Since this is a 2-dimensional hyperplane",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967115915755941900,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/22/2022 13:33:22",
"content": "It's best is if you graphed it",
"attachments": [],
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"reference": null
},
{
"id": 967116199836123100,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/22/2022 13:34:30",
"content": "In this equation there's a portion dependent on `x_{...}` and a part independent of it. Perhaps that would clue you in",
"attachments": [],
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},
{
"id": 967116367146918000,
"author_id": 745054042606141400,
"author_name": "beanie",
"timestamp": "04/22/2022 13:35:10",
"content": "Well if Wx = 0, w is the normal vector right?",
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},
{
"id": 967120143190732800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 13:50:10",
"content": "@beanie Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 14:05:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
399c3053e04e486c99a25c2c15227bd9
|
199,506 |
[
{
"id": 967124171702300800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 14:06:10",
"content": "Available help channel!",
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},
{
"id": 967124575391453200,
"author_id": 845959241432956900,
"author_name": "Msvyx",
"timestamp": "04/22/2022 14:07:47",
"content": "if f(x)=x+! and g(x)=3x+4 then f(g(2))-g(f(2))=?",
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},
{
"id": 967124577530548400,
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"timestamp": "04/22/2022 14:07:47",
"content": "Pinned a message.",
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"id": 967124842279231500,
"author_id": 845959241432956900,
"author_name": "Msvyx",
"timestamp": "04/22/2022 14:08:50",
"content": ".close",
"attachments": [],
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},
{
"id": 967124843738841100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 14:08:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4da5d398951944f0bc83b4f90e3dff3a
|
199,507 |
[
{
"id": 967133648467939300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 14:43:50",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967134747002290200,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 14:48:12",
"content": "Can someone explain to me how to find the complex angle for this root?",
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"timestamp": "04/22/2022 14:48:12",
"content": "Pinned a message.",
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}
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{
"id": 967135654272184400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 14:51:48",
"content": "write it in polar form",
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},
{
"id": 967135823692697700,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 14:52:28",
"content": "This is what I've got. Not sure how to get theta, though",
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 14:53:05",
"content": "Oop, pretend there's also an i multiplied by 2npi",
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},
{
"id": 967136325167894500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 14:54:28",
"content": "write -8i in polar form",
"attachments": [],
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},
{
"id": 967136751284006900,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 14:56:10",
"content": "Okay, well, r is 8, yeah? How do I find the angle, though?",
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},
{
"id": 967136878975402100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 14:56:40",
"content": "write -i in polar form",
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},
{
"id": 967136944758853600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 14:56:56",
"content": "use euler's identity",
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},
{
"id": 967137679395414000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 14:59:51",
"content": "Erm...cos(theta)-isin(theta)?",
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},
{
"id": 967137867128262700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:00:36",
"content": "errrrr",
"attachments": [],
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},
{
"id": 967137990017167500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:01:05",
"content": "start with e^(i pi) + 1 = 0",
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},
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"id": 967138039669338100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:01:17",
"content": "then manipulate until you get -i",
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},
{
"id": 967138106421702800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:01:33",
"content": "-i = -1 * sqrt(-1)",
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},
{
"id": 967138394394230900,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:02:41",
"content": "Woah, you lost me",
"attachments": [],
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},
{
"id": 967138412186452000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:02:46",
"content": "How did you get rid of e?",
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},
{
"id": 967138522467299300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:03:12",
"content": "e^(i pi) = -1",
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},
{
"id": 967138626968387700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:03:37",
"content": "square root both sides",
"attachments": [],
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},
{
"id": 967138757386047600,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:04:08",
"content": "Eh? I don't think I know that relationship",
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},
{
"id": 967138789556355200,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:04:16",
"content": "I thought the only way to get rid of e was ln",
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},
{
"id": 967139049909403600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:05:18",
"content": "you don't want to get rid of e. you want -i in polar form which is e^(i theta) for some angle theta",
"attachments": [],
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},
{
"id": 967139058436440000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:05:20",
"content": "https://www.cuemath.com/numbers/polar-form-of-complex-numbers/",
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},
{
"id": 967139714111012900,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:07:56",
"content": "Ahhh, I see",
"attachments": [],
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},
{
"id": 967139856188858500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:08:30",
"content": "So you get -sqrt(e^(ipi)) = -i",
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},
{
"id": 967140135089090700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:09:36",
"content": "can you figure out the angle theta now?",
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},
{
"id": 967140728432128000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:11:58",
"content": "Umm, no, I don't know where to go from here",
"attachments": [],
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},
{
"id": 967140889921224700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:12:36",
"content": "find an alternative definition of square root",
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},
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"id": 967140930647916500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 15:12:46",
"content": "or the definition",
"attachments": [],
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},
{
"id": 967141502121812000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:15:02",
"content": "Hmmm, do I take the equation I just solved for & set it equal to what I had originally?",
"attachments": [],
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},
{
"id": 967142190621024300,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 15:17:46",
"content": "Something like this?",
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"id": 967145966476099600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 15:32:47",
"content": "@L'Homme.Bepis Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 15:45:13",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
444cb4fa7a0e4a4e832ce0f37e77b267
|
199,508 |
[
{
"id": 967149349391966200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 15:46:13",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 967149881812729900,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 15:48:20",
"content": "Hey! We got some quizzes as fun over the weekend from out teacher, and im really struggeling witrh this one and idek where to start, can anyone help (or give me the answers with showcase of solution :p)",
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"id": 967149884060893300,
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 15:48:21",
"content": "Pinned a message.",
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},
{
"id": 967150681280610400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 15:51:31",
"content": "conservation of linear momentum",
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},
{
"id": 967151169447272600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 15:53:27",
"content": "m1v1+m2v2=m1v1'+m2v2'",
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},
{
"id": 967151656577929200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 15:55:23",
"content": "wait in this case, wont answer for first question be 0?",
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},
{
"id": 967151827512623200,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "04/22/2022 15:56:04",
"content": "No shouldn’t be",
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},
{
"id": 967151860484018200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 15:56:12",
"content": "hmm, im lost lmao",
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},
{
"id": 967152921965891700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:00:25",
"content": "say 1 is for bullet and 2 for box",
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},
{
"id": 967152994426687500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:00:42",
"content": "what would m1, v1, v2 the and m2 be",
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},
{
"id": 967154899324391600,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:08:16",
"content": "(the collision is inelastic so their velocities would be the same)",
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},
{
"id": 967155712281178200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:11:30",
"content": "i dont understand your guyses terms, sorry, i need answers with solving steps, if anyone is willing to give me that that would be awesome",
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},
{
"id": 967155801703735300,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:11:52",
"content": "do you know what conservation of momentum is",
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},
{
"id": 967155805289852900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:11:52",
"content": "m is mass v is velocity",
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},
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"author_name": "taxy",
"timestamp": "04/22/2022 16:12:45",
"content": "m1 would be 0.003, v1 would be 1000 ms/s, m2 would be 2, v2 would me 0",
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"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:12:47",
"content": "or am i tripping",
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},
{
"id": 967156096500383700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:13:02",
"content": "so what's lhs equal to",
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},
{
"id": 967156605336551400,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:15:03",
"content": "3?",
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},
{
"id": 967156703210655900,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:15:26",
"content": "and what is rhs",
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},
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:16:07",
"content": "after collision gun gets embedded so there's one total mass and one velocity",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:16:12",
"content": "bullet",
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},
{
"id": 967156985994825900,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:16:34",
"content": "idk what the ```'``` means at the end of the part",
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},
{
"id": 967157018865565800,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:16:42",
"content": "like m2v2'",
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},
{
"id": 967157059743281300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:16:51",
"content": "final velocity",
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},
{
"id": 967157061819461800,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:16:52",
"content": "final velocity",
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},
{
"id": 967157174654603400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:17:19",
"content": "for this case it's (m1+m2)v'",
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},
{
"id": 967157241771864200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:17:35",
"content": "u can solve for v'",
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},
{
"id": 967157367882018800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:18:05",
"content": "for 2nd part simple time formula",
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},
{
"id": 967157506214350800,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:18:38",
"content": "im too low level for this i feel like, today is the first time i hear about final velocity etc",
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},
{
"id": 967157542641877100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:18:47",
"content": "it's just",
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},
{
"id": 967157569393147900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:18:53",
"content": "velocity after collision",
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},
{
"id": 967157609155154000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:19:02",
"content": "oh it",
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},
{
"id": 967157665061011600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:19:16",
"content": "doesn't say how high it will go after collision",
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},
{
"id": 967157712586674200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:19:27",
"content": "u can find height by conservation of energy",
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},
{
"id": 967157740118102100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:19:34",
"content": "then time formula",
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},
{
"id": 967157863644545000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:20:03",
"content": "for last part",
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},
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:20:09",
"content": "Pythagoras I think",
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"id": 967157923975413900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:20:18",
"content": "solving for base side",
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},
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"id": 967157998801780700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:20:35",
"content": "ah",
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},
{
"id": 967158005684646000,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:20:37",
"content": "🤔",
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},
{
"id": 967158012760432800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:20:39",
"content": "it's vertical",
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},
{
"id": 967158035275448400,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:20:44",
"content": "It'll be an arc",
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},
{
"id": 967158531839107100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:22:42",
"content": "is the height in c",
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},
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:22:45",
"content": "the hypotenuse",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:22:49",
"content": "or the same height in b",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:23:19",
"content": "it doesn't rotate so it will make a straight move",
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},
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"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:25:24",
"content": "yall are 10x smarter than me, i honestly just need the answers with solving steps, i think thag would help me understand better",
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},
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"id": 967159265775194200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:25:37",
"content": "solve for v'",
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},
{
"id": 967159350684713000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:25:58",
"content": "v' is the only unknown",
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},
{
"id": 967159442196029600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:26:19",
"content": "$m1v1=(m1+m2)v'$",
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},
{
"id": 967159451935178800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 16:26:22",
"content": "**Wew \"Fractalogist\" Tbh 🐧**",
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"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:27:14",
"content": "momentum is just mass x velocity and is always conserved, which is why that is valid",
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"id": 967160315349434400,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:29:48",
"content": "v’=1.49775?",
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},
{
"id": 967160430298542100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:30:15",
"content": ",w 3/(2+0.003)",
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},
{
"id": 967160437999276000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 16:30:17",
"content": "Results provided by WolframAlpha",
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},
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"id": 967160455619551200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:30:21",
"content": "yes",
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},
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"id": 967160503401087000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:30:32",
"content": "now apply conservatiion of energy to find height",
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},
{
"id": 967160600956371000,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:30:56",
"content": "so v’ would be answer to question a?",
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"id": 967160658674188400,
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:31:10",
"content": "yes",
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},
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"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:32:26",
"content": "whats the formula for that?",
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"id": 967161066964516900,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:32:47",
"content": "KE = 1/2 m v^2\nPE = mgh",
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},
{
"id": 967161094458183700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:32:53",
"content": "if ur doing momemtum u should know conversation of energy",
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},
{
"id": 967161224154456000,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:33:24",
"content": "",
"attachments": [
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"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "04/22/2022 16:33:30",
"content": "do that next time",
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},
{
"id": 967161274700005400,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:33:36",
"content": "Sorry",
"attachments": [],
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},
{
"id": 967161414626201600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:34:10",
"content": "so what would the equation be here",
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},
{
"id": 967161448209998000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:34:18",
"content": "what would lhs and RHS be",
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},
{
"id": 967161540581146800,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:34:40",
"content": "im not sure how to approach this",
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},
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"id": 967161688979828700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:35:15",
"content": "do conservation of energy",
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},
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:35:20",
"content": "after collision",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:35:49",
"content": "and set height when bullet is inside of box as 0",
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"id": 967161917506469900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:36:10",
"content": "would there be",
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},
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"id": 967161959705366500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:36:20",
"content": "kinetic energy or potential energy in lhs",
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"id": 967162095810510800,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:36:52",
"content": "potential?",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:36:57",
"content": "lhs is basically when bullet is inside and starts moving and RHS is when it's at maximum height",
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"id": 967162310449828000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:37:43",
"content": "remember we set height as 0 when bullet came in box",
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"id": 967162338560073900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:37:50",
"content": "and potential is mgh",
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"author_id": 485164773647056900,
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"timestamp": "04/22/2022 16:37:55",
"content": "h=height",
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"id": 967162384257007600,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:38:01",
"content": "kinetic then",
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"id": 967162403882156000,
"author_id": 485164773647056900,
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"timestamp": "04/22/2022 16:38:06",
"content": "yes",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:38:09",
"content": "what about rhs",
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"id": 967162538116665300,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:38:38",
"content": "idk what those variables are of, of the bullet and box together or one of them or?",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:39:18",
"content": "together we're doing conservation of energy when bullet came in box and starts moving torghetogether to maximum height",
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{
"id": 967162732707184800,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:39:24",
"content": "in the KE = 1/2 m v^2",
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},
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"id": 967162808603131900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:39:42",
"content": "m is together not apart",
"attachments": [],
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},
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"id": 967162926534377500,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:40:10",
"content": "alright so ke = 1.0015v^2?",
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"id": 967163103638872000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:40:52",
"content": "yes",
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},
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"id": 967163137231028200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:41:00",
"content": "v is v' final velocity",
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"id": 967163164112339100,
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"author_name": "taxy",
"timestamp": "04/22/2022 16:41:07",
"content": "Yeah",
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},
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"id": 967163175868960900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:41:10",
"content": "solve for h now",
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"id": 967163371445170200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:41:56",
"content": "so ke = 2.24661995?",
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},
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"id": 967163561757511700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:42:42",
"content": ",w 1.0015*(1.5^2)",
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"id": 967163568980103200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 16:42:43",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
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"id": 967163586214494300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:42:47",
"content": "yes",
"attachments": [],
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},
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"id": 967163864074551400,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:43:54",
"content": "alright and i would figure out height how exactly?",
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"id": 967163948707221500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:44:14",
"content": "conservativon of energy",
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"author_name": "taxy",
"timestamp": "04/22/2022 16:45:22",
"content": "i cannot find a single formula for that online",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:47:33",
"content": "",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:47:42",
"content": "T Is kinetic",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:47:48",
"content": "V potential",
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"author_name": "taxy",
"timestamp": "04/22/2022 16:48:58",
"content": "i dont know what i would plot into those, cus pe is 0",
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"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:50:39",
"content": "it's T1=V2",
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{
"id": 967166023612637200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:52:29",
"content": "so 2.24661995 = V2?",
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},
{
"id": 967166082064449700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:52:43",
"content": "yes",
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},
{
"id": 967166154311340200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:53:00",
"content": "so is that answer for b?",
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},
{
"id": 967166304643579900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:53:36",
"content": "no",
"attachments": [],
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},
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"id": 967166329180287000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 16:53:41",
"content": "v2 isn't height",
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},
{
"id": 967167084578635800,
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"author_name": "taxy",
"timestamp": "04/22/2022 16:56:42",
"content": "so i would calculate height how?",
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},
{
"id": 967167253483258000,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 16:57:22",
"content": "i found a formula and got this",
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},
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"id": 967167262970769400,
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"author_name": "taxy",
"timestamp": "04/22/2022 16:57:24",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/967167262660374568/IMG_3382.png",
"fileName": "IMG_3382.png",
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"timestamp": "04/22/2022 16:57:35",
"content": "h = 0.11433512066253 m",
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"id": 967168067933188100,
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"author_name": "taxy",
"timestamp": "04/22/2022 17:00:36",
"content": "would that be right?",
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},
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"id": 967168943930355800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:04:05",
"content": ",w 2.003*9.81",
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},
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"id": 967168951761133600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 17:04:07",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
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"id": 967169035869503500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:04:27",
"content": ",w 2.25/20",
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},
{
"id": 967169043108864000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 17:04:29",
"content": "Results provided by WolframAlpha",
"attachments": [],
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"reference": null
},
{
"id": 967169066773135400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:04:34",
"content": "yes",
"attachments": [],
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},
{
"id": 967169162340348000,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:04:57",
"content": "sick",
"attachments": [],
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},
{
"id": 967169259484635100,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:05:20",
"content": "alright now for last",
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},
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"id": 967169265776066600,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:05:22",
"content": "c",
"attachments": [],
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},
{
"id": 967170154293243900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:08:53",
"content": "lol",
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},
{
"id": 967170193409318900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:09:03",
"content": "b is asking for time not height",
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{
"id": 967170229732008000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:09:11",
"content": "how would u find time",
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},
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"id": 967171360310829200,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:13:41",
"content": "wait so all we did was waste? xD",
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},
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"id": 967171522722664400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:14:20",
"content": "no",
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},
{
"id": 967171579060576300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:14:33",
"content": "u can find time now",
"attachments": [],
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},
{
"id": 967171600501841900,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:14:38",
"content": "h o w",
"attachments": [],
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},
{
"id": 967171646366568600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:14:49",
"content": "how is time calculated",
"attachments": [],
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},
{
"id": 967172003482181600,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:16:14",
"content": "distance/speed?",
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},
{
"id": 967172470408900600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:18:06",
"content": "yes",
"attachments": [],
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},
{
"id": 967172501165736000,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:18:13",
"content": "but idk distance",
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},
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"id": 967174253373952000,
"author_id": 813166217757589600,
"author_name": "taxy",
"timestamp": "04/22/2022 17:25:11",
"content": "how would i find that @Gooaaa",
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"id": 967178029266772100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 17:40:11",
"content": "@taxy Has your question been resolved?",
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"id": 967178702184120300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:42:51",
"content": "don't know for sure",
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},
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"id": 967178736300593200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/22/2022 17:43:00",
"content": "it's either height or the hypotenuse",
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},
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"id": 967185874037137400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 18:11:21",
"content": "@taxy Has your question been resolved?",
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"id": 967193424694480900,
"author_id": 805217272087838700,
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"timestamp": "04/22/2022 18:41:22",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a2759d36bdf54e2baa9337cbba6db4fc
|
199,509 |
[
{
"id": 955289790272639000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 22:20:34",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 955290367475982500,
"author_id": 950183505827078100,
"author_name": "aslin",
"timestamp": "03/20/2022 22:22:52",
"content": "what row operation was used to get row 4 into all 0",
"attachments": [
{
"id": 955290366792331300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/955290366792331284/unknown.png",
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],
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},
{
"id": 955290369677987800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 22:22:52",
"content": "Pinned a message.",
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}
},
{
"id": 955290423369289700,
"author_id": 950183505827078100,
"author_name": "aslin",
"timestamp": "03/20/2022 22:23:05",
"content": "because it has something to do with +2y",
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},
{
"id": 955290444026220500,
"author_id": 950183505827078100,
"author_name": "aslin",
"timestamp": "03/20/2022 22:23:10",
"content": "but im not sure where that comes from",
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},
{
"id": 955290500435439700,
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"timestamp": "03/20/2022 22:23:23",
"content": "wait...",
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},
{
"id": 955290567028388000,
"author_id": 950183505827078100,
"author_name": "aslin",
"timestamp": "03/20/2022 22:23:39",
"content": "oh nevermind i just noticed that they moved rows around too",
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},
{
"id": 955290571071717500,
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"timestamp": "03/20/2022 22:23:40",
"content": "oops",
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},
{
"id": 955290574229995600,
"author_id": 950183505827078100,
"author_name": "aslin",
"timestamp": "03/20/2022 22:23:41",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
726eaded220b4490832de3d82bb39027
|
199,510 |
[
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"timestamp": "03/23/2022 14:07:25",
"content": "Available help channel!",
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},
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"id": 956256245650690200,
"author_id": 284850606194294800,
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"timestamp": "03/23/2022 14:20:55",
"content": "hey guys",
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"content": "I answered this question a while ago",
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"timestamp": "03/23/2022 14:21:13",
"content": "and I got",
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"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:21:21",
"content": "$x^2 + y^2 = 6y$",
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},
{
"id": 956256364357894100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 14:21:23",
"content": "**Eyesonjune**",
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"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:21:28",
"content": "But I don't understand how I got that answer",
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"timestamp": "03/23/2022 14:21:31",
"content": "I know it is correct",
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},
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"id": 956256451364532200,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:21:44",
"content": "but I'm trying to do it now with the following identities",
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"id": 956256499716485100,
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"timestamp": "03/23/2022 14:21:55",
"content": "$x = rcos\\theta$",
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"id": 956256510026068100,
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"timestamp": "03/23/2022 14:21:58",
"content": "**Eyesonjune**",
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"timestamp": "03/23/2022 14:22:04",
"content": "$y = rsin\\theta$",
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"timestamp": "03/23/2022 14:22:06",
"content": "**Eyesonjune**",
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"timestamp": "03/23/2022 14:22:21",
"content": "$x^2 + y^2 = r^2$",
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},
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"timestamp": "03/23/2022 14:22:24",
"content": "**Eyesonjune**",
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"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:22:43",
"content": "I keep ending up trying to convert the r and just getting like",
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},
{
"id": 956256727710445700,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:22:50",
"content": "$\\sqrt{x^2 + y^2} = 6y$",
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},
{
"id": 956256920480661500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 14:23:36",
"content": "**Eyesonjune**",
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"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:23:37",
"content": "What am I doing wrong",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 14:38:39",
"content": "@Eyesonjune Has your question been resolved?",
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"timestamp": "03/23/2022 14:39:37",
"content": "@Helpers",
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},
{
"id": 956261740897767600,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 14:42:45",
"content": "ping me when you get here",
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},
{
"id": 956266100507693200,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 15:00:04",
"content": "@Helpers",
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},
{
"id": 956267686554374100,
"author_id": 373549242754793500,
"author_name": "nyann",
"timestamp": "03/23/2022 15:06:23",
"content": "multiply both sides by r",
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"id": 956267703998496800,
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"author_name": "nyann",
"timestamp": "03/23/2022 15:06:27",
"content": "use your conversion",
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},
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"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/23/2022 15:15:14",
"content": ".close",
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},
{
"id": 956269917051695100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 15:15:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
332c2030a0cd44b7acee03aa3e2738f6
|
199,511 |
[
{
"id": 967209625671852000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 19:45:44",
"content": "Available help channel!",
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},
{
"id": 967211871193169900,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:54:40",
"content": "I need help with this",
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"content": "Pinned a message.",
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:55:15",
"content": "I think I'm supposed to find another expression to determine this by comparison theorem?",
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},
{
"id": 967212084012134500,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:55:30",
"content": "But I can't figure out how",
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},
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"id": 967212158649761800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/22/2022 19:55:48",
"content": "I think you can use ratio test",
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},
{
"id": 967212254036644000,
"author_id": 444615533162135550,
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"timestamp": "04/22/2022 19:56:11",
"content": "I can't recall if we've learned that",
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},
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"id": 967212303621701800,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "04/22/2022 19:56:23",
"content": "What have you learned",
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},
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:56:54",
"content": "Test for divergence, comparison test",
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},
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"id": 967212475156136000,
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"author_name": "VictorLee",
"timestamp": "04/22/2022 19:57:04",
"content": "Test for divergence then",
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},
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"id": 967212557502922800,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:57:23",
"content": "oh wait",
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{
"id": 967212570568183900,
"author_id": 333544771421470700,
"author_name": "張嘉棋",
"timestamp": "04/22/2022 19:57:26",
"content": "iirc there are 4 tests?",
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"id": 967212573432873100,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:57:27",
"content": "I can do Lhopitals",
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},
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"id": 967212582320636000,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:57:29",
"content": "right?",
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"author_name": "VictorLee",
"timestamp": "04/22/2022 19:57:32",
"content": "Bc the exponent on the denominator is 6 is probably fails. Didn’t do out the math tho",
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"author_name": "張嘉棋",
"timestamp": "04/22/2022 19:57:46",
"content": "no",
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"timestamp": "04/22/2022 19:57:49",
"content": "No",
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"id": 967212716701917200,
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"timestamp": "04/22/2022 19:58:01",
"content": "rip",
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},
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"id": 967212774843379700,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:58:15",
"content": "yeah I would keep getting the same thing",
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"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:58:29",
"content": "so how can I do it",
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"timestamp": "04/22/2022 19:58:44",
"content": "Take the limit",
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"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:58:53",
"content": "yeah, I don't see how to work it out",
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"timestamp": "04/22/2022 19:58:58",
"content": "Oh you meant in the limit",
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"id": 967212970809651200,
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"timestamp": "04/22/2022 19:59:02",
"content": "correct",
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"id": 967213029055942700,
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"author_name": "VictorLee",
"timestamp": "04/22/2022 19:59:16",
"content": "Yeah that would probably work",
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:59:25",
"content": "ok, let me try it now",
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"author_name": "VictorLee",
"timestamp": "04/22/2022 19:59:41",
"content": "Bc if you did it so many times then eventually you would get a constant in the bottom and just e^x in the top",
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"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 19:59:47",
"content": "gonna end up doing it 6 times rip me",
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},
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"id": 967213233687642100,
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"author_name": "VictorLee",
"timestamp": "04/22/2022 20:00:04",
"content": "You don’t actually have to",
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"author_name": "VictorLee",
"timestamp": "04/22/2022 20:00:14",
"content": "Just know that it goes to inf based on what i just said",
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},
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"id": 967213325651947500,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:00:26",
"content": "yeah, I just have to show work later anyway",
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},
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"id": 967213363966914600,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:00:35",
"content": "so it's good practice lol",
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},
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"id": 967213403443712000,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:00:45",
"content": "but I do see it now",
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},
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"id": 967213413019312100,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:00:47",
"content": "thanks a lot",
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},
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"id": 967213588911640600,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "04/22/2022 20:01:29",
"content": "Yeah so from that you know the series diverges",
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},
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"id": 967213613284732900,
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"author_name": "VictorLee",
"timestamp": "04/22/2022 20:01:35",
"content": "Any other questions?",
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},
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"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:01:44",
"content": "no, that was it",
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},
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"id": 967213660730708000,
"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:01:46",
"content": "appreciate it!",
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},
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"author_id": 444615533162135550,
"author_name": "Denver Crossbourne",
"timestamp": "04/22/2022 20:01:50",
"content": ".close",
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},
{
"id": 967213676643885200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 20:01:50",
"content": "Channel closed",
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}
] |
help-9
|
9b0e6dbab32a463ca0a4b8750f154fcb
|
199,512 |
[
{
"id": 967214397464379500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 20:04:42",
"content": "Available help channel!",
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"id": 967216282053267500,
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"timestamp": "04/22/2022 20:12:12",
"content": "Pinned a message.",
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"id": 967216312659087500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:12:18",
"content": "Ideas?",
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{
"id": 967216870333747200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 20:14:31",
"content": "what was your answer to (i) ?",
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"id": 967216968153301000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:14:55",
"content": "21 is the sum of the roots",
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{
"id": 967216996825579500,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:15:02",
"content": "but notice they are different",
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},
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"id": 967217015146283000,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:15:06",
"content": "pi/14",
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{
"id": 967217029318840300,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:15:09",
"content": "instead of pi/7",
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},
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"id": 967217068778856400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/22/2022 20:15:19",
"content": "Yeah use your half angle formulas",
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"id": 967217183438569500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/22/2022 20:15:46",
"content": "and/or difference",
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"id": 967217215290101800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/22/2022 20:15:54",
"content": "Which I forgot and I had to Google because my goofy ass can't remember",
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"id": 967219169164673000,
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"author_name": "<><><>",
"timestamp": "04/22/2022 20:23:39",
"content": "this will lead to a lengthy bash. i think there is another method",
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"id": 967220097565458400,
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"author_name": "iCaird",
"timestamp": "04/22/2022 20:27:21",
"content": "I think the method here is using the fact that if you have a cubic $x^3+px^2+qx+r$",
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"id": 967220108390989800,
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"timestamp": "04/22/2022 20:27:23",
"content": "**iCaird**",
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"id": 967220161461514200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 20:27:36",
"content": "with roots $\\alpha,\\beta,\\gamma$",
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"id": 967220170483462100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 20:27:38",
"content": "**iCaird**",
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"id": 967220258890977400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 20:27:59",
"content": "then $\\alpha\\beta + \\beta\\gamma + \\gamma\\alpha = q$",
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},
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"id": 967220267959062700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/22/2022 20:28:01",
"content": "**iCaird**",
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"id": 967220407881048000,
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"author_name": "iCaird",
"timestamp": "04/22/2022 20:28:35",
"content": "the tricky bit is fudging the expression in the question to look more like those roots you previously found a polynomial for",
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"id": 967221641316802700,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:33:29",
"content": "thx. i will see if i can make headway with that",
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"id": 967221645230080100,
"author_id": 872024354572103700,
"author_name": "<><><>",
"timestamp": "04/22/2022 20:33:30",
"content": ".close",
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},
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"id": 967221646643560400,
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"timestamp": "04/22/2022 20:33:30",
"content": "Channel closed",
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}
] |
help-9
|
74e0227ddeb84729b95343fc31e9cc7b
|
199,513 |
[
{
"id": 967232404114800600,
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"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 21:16:15",
"content": "Available help channel!",
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},
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"id": 967235028981530800,
"author_id": 313345711129362400,
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"timestamp": "04/22/2022 21:26:41",
"content": "Pinned a message.",
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:27:05",
"content": "I don't know where I'm supposed to go from here to further simplify?",
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"id": 967235413582426100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:28:12",
"content": "For polar, rewrite the denominator into polar form and then simplify",
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},
{
"id": 967235735998595100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:29:29",
"content": "for rectangular, you're going to want to covert the exponential into rectangular and then recall how we deal with fractions of complex numbers in rectangular form",
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},
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:30:09",
"content": "Wow, so polar form is literally just 10?",
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},
{
"id": 967236551912333300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:32:44",
"content": "not quite",
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},
{
"id": 967236841310916600,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:33:53",
"content": "Dang, they don't just simplify through algebra? How do I go about it, then?",
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"id": 967236914765758500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:34:10",
"content": "what did you get when converting 1 + i to polar form?",
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},
{
"id": 967237172644163600,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:35:12",
"content": "e^(i*pi/4)",
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"id": 967237273986932700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:35:36",
"content": "whats the length of 1 + i?",
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},
{
"id": 967237365498261500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:35:58",
"content": "Oh, shoot",
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},
{
"id": 967237380509679700,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:36:01",
"content": "Brainfart",
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},
{
"id": 967237481483358200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:36:25",
"content": "😄",
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},
{
"id": 967237651554000900,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:37:06",
"content": "Alright, so 10/sqrt(2) lol",
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"id": 967237694147153900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:37:16",
"content": "yup!",
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:39:41",
"content": "Okay, so I don't know how you deal with complex number fractions in rectangular form",
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},
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"id": 967238413902315500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:40:08",
"content": "okay here's the trick",
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},
{
"id": 967238511499546600,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:40:31",
"content": "This is what I've converted the exponential to",
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"id": 967238568474988500,
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"author_name": "iCaird",
"timestamp": "04/22/2022 21:40:45",
"content": "$\\frac{a+bi}{c+di} \\cdot \\frac{c-di}{c-di}$",
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"author_name": "TeXit",
"timestamp": "04/22/2022 21:40:47",
"content": "**iCaird**",
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"id": 967238748641296400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:41:28",
"content": "this will make the denominator real and allow you to write in rectangular form",
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},
{
"id": 967239607852875800,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:44:52",
"content": "Did I do this right?",
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"id": 967239815043108900,
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"author_name": "iCaird",
"timestamp": "04/22/2022 21:45:42",
"content": "well you got the same answer as before so I'd say so!",
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},
{
"id": 967239981854773200,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:46:22",
"content": "Oh, that's interesting and I'm dumb",
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},
{
"id": 967240033285316700,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:46:34",
"content": "It's the same because there's no complex/imaginary components left over, right?",
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"id": 967240166769037300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/22/2022 21:47:06",
"content": "yeah, our number was actually a real number all along, which has the same polar and rectangular form",
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},
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"id": 967240283077099500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/22/2022 21:47:33",
"content": "This helped a ton, thank you so much!",
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},
{
"id": 967240470516338700,
"author_id": 323945857298858000,
"author_name": "Stryker",
"timestamp": "04/22/2022 21:48:18",
"content": "whats the difference between a strong and weak skew to the right",
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},
{
"id": 967240546152239100,
"author_id": 323945857298858000,
"author_name": "Stryker",
"timestamp": "04/22/2022 21:48:36",
"content": "is a weak skew to the right more varied, or less varied than a strong skew?",
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},
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"id": 967240548685611000,
"author_id": 313345711129362400,
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"timestamp": "04/22/2022 21:48:37",
"content": "@Stryker #❓how-to-get-help",
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"timestamp": "04/22/2022 21:48:47",
"content": ".close",
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},
{
"id": 967240593984069600,
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"timestamp": "04/22/2022 21:48:48",
"content": "Channel closed",
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}
] |
help-9
|
d13b9d4d21f04a9da431d466682db242
|
199,514 |
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"timestamp": "04/22/2022 21:48:54",
"content": "ohhhh",
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"content": "Available help channel!",
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},
{
"id": 967242503600349300,
"author_id": 966575640612593700,
"author_name": "Talon",
"timestamp": "04/22/2022 21:56:23",
"content": "I'm working on a problem asking to find which numbers m allows an integer solution to x^2+3=0 mod m. I started with assuming ordp(x)=1, which then led to a solution of p=4. Then I assumed ordp(x)=2, which then led to a contradiction so no solutions there. Then at ordp(x)=3, I ended up with ordp(x)=3 implies x^3=1 but x^3=x^2*x=-3x. My modular arithmetic is rusty but I feel like that statement at the end should be implying something about ordp(x) which contradicts the assumption but I can't quite figure out what.",
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"content": "Pinned a message.",
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"timestamp": "04/22/2022 22:11:23",
"content": "@Talon Has your question been resolved?",
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"timestamp": "04/22/2022 22:15:10",
"content": "@Helpers",
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},
{
"id": 967249925723259000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:25:52",
"content": "$3^{t}\\prod_{j} p_{j}^{r_{j}}$ I think",
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"timestamp": "04/22/2022 22:27:33",
"content": "Where t=0 or 1,$p_{j}$ is a prime number greater than 3 such that $p_{j} \\equiv 1 (\\mod 3)$, $r_{j}$ is a positive integer",
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"timestamp": "04/22/2022 22:30:03",
"content": "Because use Chinese remainder theorem we have Z/mZ is isomorphic to direct sum of Z/p^rZ where m=Πp^r is the prime factorization of m. So x^2=-3 mod p^r for all those factors. If p=3 then we can easily have r=1, if p>3 then (-3/p)=(p/3)=1 so p=1 mod 3.",
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"author_name": "TeXit",
"timestamp": "04/22/2022 22:30:21",
"content": "**Cogwheels of the mind**",
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"timestamp": "04/22/2022 22:30:36",
"content": "**Cogwheels of the mind**",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:31:20",
"content": "Oh I forgot 2, I need to further think about it…",
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"timestamp": "04/22/2022 22:38:55",
"content": "Okay it’s done now",
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"timestamp": "04/22/2022 22:39:51",
"content": "m satisfies this property iff $m= 2^{u}3^{v}\\prod_{j} p_{j}^{r_{j}}$",
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"author_name": "TeXit",
"timestamp": "04/22/2022 22:39:53",
"content": "**Cogwheels of the mind**",
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"timestamp": "04/22/2022 22:40:58",
"content": "Where p_j are prime numbers greater than 3 that =1 mod 3\nu, r_j are non-negative integers, v=0 or 1",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:41:29",
"content": "Just use CRT, and Legendre symbols",
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"id": 967254646747979800,
"author_id": 966575640612593700,
"author_name": "Talon",
"timestamp": "04/22/2022 22:44:38",
"content": "I don't think I have learned of Legendre symbols before and it may be beyond the scope of this course but i'm not sure. This is an intro to number theory class. Is this something I should have already known?",
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"id": 967254788532224000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:45:12",
"content": "Then read about legendre symbols then, wiki is sufficient",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:45:30",
"content": "You only need two formulas, which are both written on wiki:",
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"timestamp": "04/22/2022 22:45:49",
"content": "(-1/p)=(-1)^((p-1)/2)",
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"id": 967255060511883300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:46:17",
"content": "And (p/q)=(q/p)(-1)^((p-1)(q-1)/4)",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/22/2022 22:46:35",
"content": "When p and q are both odd primes",
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"id": 967255233031970800,
"author_id": 966575640612593700,
"author_name": "Talon",
"timestamp": "04/22/2022 22:46:58",
"content": "hmm alright thanks",
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},
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"id": 967255239554134100,
"author_id": 966575640612593700,
"author_name": "Talon",
"timestamp": "04/22/2022 22:46:59",
"content": ".close",
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},
{
"id": 967255241361858600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 22:47:00",
"content": "Channel closed",
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}
] |
help-9
|
bc83ad536b8344319b7cfe876ab8e712
|
199,515 |
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"id": 967268472629362700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/22/2022 23:39:34",
"content": "Available help channel!",
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"id": 967283128303517700,
"author_id": 712129889561477100,
"author_name": "Greast",
"timestamp": "04/23/2022 00:37:49",
"content": "how can i solve this for ```f(4) =```",
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"timestamp": "04/23/2022 00:37:49",
"content": "Pinned a message.",
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"timestamp": "04/23/2022 00:42:28",
"content": "This is the same as asking what the function output y is when the input x is 4.",
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"timestamp": "04/23/2022 00:43:12",
"content": "so i just put 4?",
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"timestamp": "04/23/2022 00:43:33",
"content": "No, read more carefully",
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"timestamp": "04/23/2022 00:43:47",
"content": "so?",
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"author_name": "Greast",
"timestamp": "04/23/2022 00:44:08",
"content": "so it's a (4, -6)?",
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"timestamp": "04/23/2022 00:44:44",
"content": "Warmer...",
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"author_id": 712129889561477100,
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"timestamp": "04/23/2022 00:45:00",
"content": "(2,8)?",
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"timestamp": "04/23/2022 00:45:26",
"content": "You thought \"warmer\" meant pick a different point?",
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"id": 967285127791145000,
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"timestamp": "04/23/2022 00:45:45",
"content": "-6",
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"id": 967285165091078100,
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"timestamp": "04/23/2022 00:45:54",
"content": "correct?",
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"id": 967285184305197000,
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"timestamp": "04/23/2022 00:45:59",
"content": "Yes",
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"timestamp": "04/23/2022 00:46:07",
"content": "Do you understand why",
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"timestamp": "04/23/2022 00:46:10",
"content": "why people can't explain like this...",
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"timestamp": "04/23/2022 00:46:15",
"content": "yea because f(4) = f(x)",
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"timestamp": "04/23/2022 00:46:24",
"content": "x = 4 , y = -6",
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"timestamp": "04/23/2022 00:46:32",
"content": "so it's basically asking for y",
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"timestamp": "04/23/2022 00:46:35",
"content": "Good job :)",
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"author_id": 261933205387477000,
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"timestamp": "04/23/2022 00:46:53",
"content": "you need to get used to notation and its meaning. math won't change for you",
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"timestamp": "04/23/2022 00:47:00",
"content": "f^-1(8) what about this?",
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"timestamp": "04/23/2022 00:47:06",
"content": "mhm",
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"timestamp": "04/23/2022 00:47:23",
"content": "i don't understand",
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"timestamp": "04/23/2022 00:47:30",
"content": "that's one of the things that confuse me",
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"author_name": "Disorganized",
"timestamp": "04/23/2022 00:48:17",
"content": "You already explained that single-variable functions map an input (such as x) to an output (such as y)",
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"timestamp": "04/23/2022 00:49:14",
"content": "It is important to know that a feature of functions is that they are mappings which \"map\" each input to AT MOST ONE output",
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"timestamp": "04/23/2022 00:49:31",
"content": "so this means that f^-1 translates into y?",
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"timestamp": "04/23/2022 00:49:41",
"content": "Not quite",
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"timestamp": "04/23/2022 00:49:45",
"content": "as we go here, we can see (2,8)",
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"timestamp": "04/23/2022 00:49:55",
"content": "but it's a x,y",
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"timestamp": "04/23/2022 00:50:01",
"content": "An inverse function, first of all, is a function",
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"timestamp": "04/23/2022 00:50:15",
"content": "So it maps whatever the input is to at most one output",
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"id": 967286453912600600,
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"timestamp": "04/23/2022 00:51:01",
"content": "But as it is an INVERSE function, it sends the outputs from before back to the inputs",
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"timestamp": "04/23/2022 00:51:12",
"content": "So, for example",
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"content": "y=f(x) = 2x + 3 is a function",
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"content": "Every input x has one output y",
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"timestamp": "04/23/2022 00:52:36",
"content": "we can very easily find the inverse function by swapping x and y and solving for y again",
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"timestamp": "04/23/2022 00:53:13",
"content": "f^-1(8)=2",
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"timestamp": "04/23/2022 00:53:34",
"content": "x = 2y + 3\n2y = x - 3\ny = (1/2)x -( 3/2)",
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"timestamp": "04/23/2022 00:54:14",
"content": "we can write this as",
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"timestamp": "04/23/2022 00:55:03",
"content": "$f^{-1}(x) = (1/2)x -( 3/2)$",
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"timestamp": "04/23/2022 00:55:13",
"content": "**Disorganized**",
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"timestamp": "04/23/2022 00:56:16",
"content": "Now, if we plug a known output from the previous function into this one, it will return its input.",
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"timestamp": "04/23/2022 00:56:45",
"content": "(don't get hung up on the x, you can plug in y values)",
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"content": "The effect is that f-inverse takes y's back to x",
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"timestamp": "04/23/2022 00:57:39",
"content": "$f^{-1}(x)=(y,x)$",
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"timestamp": "04/23/2022 00:57:42",
"content": "**Greast**",
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"timestamp": "04/23/2022 00:57:49",
"content": "no?",
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"author_id": 712129889561477100,
"author_name": "Greast",
"timestamp": "04/23/2022 00:58:07",
"content": "let's say we have (4, -3)",
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"id": 967288292724854800,
"author_id": 712129889561477100,
"author_name": "Greast",
"timestamp": "04/23/2022 00:58:20",
"content": "the question is to find, f^1(x)",
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"id": 967288389793628200,
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"timestamp": "04/23/2022 00:58:43",
"content": "so, f^1(x)= 4 due to the reason that it's a inverse function",
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"id": 967288533578551300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "04/23/2022 00:59:17",
"content": "Yeah, If you plugged in -3 it will return 4.",
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"timestamp": "04/23/2022 01:00:08",
"content": "it could just be explain that easily :blobsweat:",
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"id": 967289607953727500,
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"author_name": "Greast",
"timestamp": "04/23/2022 01:03:33",
"content": ".close",
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},
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"id": 967289609534980200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 01:03:34",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3da167bdce7c4ec299fe938b8085a723
|
199,516 |
[
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"timestamp": "04/23/2022 01:21:46",
"content": "Available help channel!",
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},
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"id": 967294907226161200,
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 01:24:37",
"content": "Pinned a message.",
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"timestamp": "04/23/2022 01:24:44",
"content": "wait wrong pic",
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"timestamp": "04/23/2022 01:25:15",
"content": "is equal to this",
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"content": "Channel closed",
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] |
help-9
|
848a1592e7f64dddae65130ce2fb5c70
|
199,517 |
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"id": 967295117008453600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "04/23/2022 01:25:27",
"content": "oh wait",
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"id": 967295134569988100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/23/2022 01:25:31",
"content": "Lol",
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"id": 967295137338249200,
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"content": ".reopen",
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"content": "uhhh",
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"author_id": 483962566977126400,
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"timestamp": "04/23/2022 01:25:42",
"content": "so is it closed",
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"id": 967295190274568200,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/23/2022 01:25:44",
"content": "create a diff help channel maybe",
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"timestamp": "04/23/2022 01:25:48",
"content": "yeah",
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"content": "ya",
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"content": "ok ok",
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"content": "Available help channel!",
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{
"id": 967308463950684300,
"author_id": 807012756435763200,
"author_name": "XXXX",
"timestamp": "04/23/2022 02:18:29",
"content": "can someone help me with this question pls?",
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"timestamp": "04/23/2022 02:18:29",
"content": "Pinned a message.",
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"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/23/2022 02:19:25",
"content": "Have you done anything so far?",
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"id": 967309470659121200,
"author_id": 807012756435763200,
"author_name": "XXXX",
"timestamp": "04/23/2022 02:22:29",
"content": "I found the value of k",
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"id": 967309641648312300,
"author_id": 807012756435763200,
"author_name": "XXXX",
"timestamp": "04/23/2022 02:23:10",
"content": "But I'm not entirely sure, what is the next step",
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"timestamp": "04/23/2022 02:38:10",
"content": "@XXXX Has your question been resolved?",
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"id": 967315741080690700,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "04/23/2022 02:47:24",
"content": "that's it",
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"author_name": "Peacemaker II",
"timestamp": "04/23/2022 02:47:27",
"content": "literally",
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"timestamp": "04/23/2022 02:47:42",
"content": "Ooo, Okay",
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"author_name": "Peacemaker II",
"timestamp": "04/23/2022 02:47:56",
"content": "what is the question asking you to do?",
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"id": 967316202420572200,
"author_id": 807012756435763200,
"author_name": "XXXX",
"timestamp": "04/23/2022 02:49:14",
"content": "Express C in terms of",
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"id": 967316901212610600,
"author_id": 328019240898789400,
"author_name": "dino dik",
"timestamp": "04/23/2022 02:52:01",
"content": "you've got C in terms of y in line 2, just need to substitute your value for k",
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"timestamp": "04/23/2022 02:52:47",
"content": "okay thank you guys",
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"id": 967317105793957900,
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"author_name": "XXXX",
"timestamp": "04/23/2022 02:52:49",
"content": ".close",
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},
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"id": 967317107270381600,
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"timestamp": "04/23/2022 02:52:50",
"content": "Channel closed",
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] |
help-9
|
63de4ff5a9474e6c904cbc1ad0c9cb95
|
199,518 |
[
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "04/23/2022 02:57:03",
"content": "$\\tau and \\tau'$ are two non trivial transpositions of Sn.",
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"timestamp": "04/23/2022 02:57:25",
"content": "**Hmz**",
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"timestamp": "04/23/2022 02:58:05",
"content": "How can I show that there exists a permutation sigma such that :",
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"timestamp": "04/23/2022 02:58:51",
"content": "$\\tau' = \\sigma \\tau \\sigma^{-1}$",
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"timestamp": "04/23/2022 02:58:53",
"content": "**Hmz**",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/23/2022 03:03:55",
"content": "Any permutation a,b having the same “type” we can construct a permutation x such that ax=xb like this:",
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"timestamp": "04/23/2022 03:04:13",
"content": "Same type I mean, having same number of j-cycles for any j",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/23/2022 03:04:36",
"content": "You map an i cycle of a to an i cycle of b",
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"timestamp": "04/23/2022 03:05:13",
"content": "For example a=(134)(57)(28) b=(346)(25)(17) in S_8",
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"timestamp": "04/23/2022 03:06:26",
"content": "You let x be such a permutation (mapping any j-cycle of a to a j-cycle of b): x(1)=4,x(3)=6,x(4)=3,x(5)=1,x(7)=7,x(2)=5,x(8)=2",
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"timestamp": "04/23/2022 03:06:49",
"content": "You see what I mean here? Any permutation that maps cycle of a to cycle of b, preserving orders",
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"timestamp": "04/23/2022 03:07:04",
"content": "Yes i think i've got it",
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"timestamp": "04/23/2022 03:08:45",
"content": "Good.Actually you can easilysee that {x:ax=xb} form a group $\\prod_{j}S_{λ_{j}} \\prod \\prod_{j}(Z/jZ)^{λ_{j}}$ where a,b have $λ_{j}$ many j cycles",
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"timestamp": "04/23/2022 03:08:48",
"content": "**Cogwheels of the mind**",
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"timestamp": "04/23/2022 03:09:56",
"content": "Since x maps cycles of a to cycles of b, it looks like permutation of cycles of a first, then for each j cycle there are j ways to map it to a cycle of b",
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"id": 967322088702632000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/23/2022 03:12:37",
"content": "@Moderators spamming",
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"id": 967322128238116900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "04/23/2022 03:12:47",
"content": "b&",
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"author_name": "Hmz",
"timestamp": "04/23/2022 03:18:29",
"content": "@Cogwheels of the mind It's still a bit confusing for me. In the case of 2-cycles (transpositions as in my question), what will it give?",
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"timestamp": "04/23/2022 03:32:41",
"content": "That case it will be {f:f(i)=k,f(j)=l} and {g:g(i)=l,g(j)=k}",
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"timestamp": "04/23/2022 03:33:06",
"content": "ok",
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"author_id": 826318983413366800,
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"timestamp": "04/23/2022 03:33:23",
"content": "Sorry wrote wrong edited",
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"id": 967327541222326300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/23/2022 03:34:17",
"content": "The image of x doesn’t equal i or j under f or g can be any element doesn’t equal k,l",
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"content": "@Hmz Has your question been resolved?",
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help-9
|
69a04c38658446879cf911680eb4dcb4
|
199,519 |
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"author_name": "Greebitz",
"timestamp": "04/23/2022 04:50:08",
"content": "Ayo, I am conflicted as to how to calculate the sum of a geometric sequence. The first location in the sequence is given as 1 instead of 0. Do I then not add a +1 in the sum formula?",
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"content": "**castroploiin**",
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"content": "For the 2nd one, expand the sum:\n\n[1] s = a + ar + ar^2 + ... + ar^k\n[2] s\\*r = ar + ar^2 + ar^3 + ... + ar^(k+1) (multiply everything by r)\n\nSubtract [2] from [1]\n\ns - s\\*r = a - ar^(k+1)\ns(1 - r) = a(1 - r^(k+1))\ns = a(1 - r^(k+1))/(1 - r)",
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"content": "You get an extra term at the end with the starting index of 0, not at the beginning*",
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"author_name": "Greebitz",
"timestamp": "04/23/2022 04:58:34",
"content": "so the start is just moved and i don't have to calculate back to start from 0 instead of 1?",
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"timestamp": "04/23/2022 05:01:15",
"content": "The start is not shifted, the end is",
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"author_name": "Castroploiin¹",
"timestamp": "04/23/2022 05:02:04",
"content": "Meaning $\\sum_{n=0}^{k-1} ar^n = \\frac{a(1 - r^{k})}{1-r}$",
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"timestamp": "04/23/2022 05:02:07",
"content": "**castroploiin**",
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"content": "Here the ending index is shifted back by one, which gives us the same result as this ^",
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"timestamp": "04/23/2022 05:05:19",
"content": "Ah i see, thank you very much! :)",
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"content": ".close",
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] |
help-9
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f8cf9b6ed32249a9ba04a17e61b00407
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199,520 |
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"author_name": "Maredona",
"timestamp": "04/23/2022 05:20:48",
"content": "how do you calculate the derivative of this so f'(x). I used the formula and got this",
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"content": "Pinned a message.",
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] |
help-9
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b6cef55b624f4363aa0ab91b882f81ce
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199,521 |
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"timestamp": "03/23/2022 15:16:15",
"content": "Available help channel!",
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help-9
|
d63001e21528495ea93e9eb1e7332b88
|
199,522 |
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_id": 692059999073206400,
"author_name": "GigaChad",
"timestamp": "04/23/2022 06:42:36",
"content": "help me with the question number a",
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"id": 967375063466790900,
"author_id": 692059999073206400,
"author_name": "GigaChad",
"timestamp": "04/23/2022 06:43:08",
"content": "here, stem means the information from the diagram",
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"timestamp": "04/23/2022 06:49:31",
"content": ",rotate",
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"content": "@GigaChad Has your question been resolved?",
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"content": "@GigaChad Has your question been resolved?",
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"author_name": "Deleted User",
"timestamp": "04/23/2022 07:43:34",
"content": "cant see question properly",
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"content": "@GigaChad Has your question been resolved?",
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"content": ".close",
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help-9
|
83f87cbd8acc49fea83b25ca49fe56cf
|
199,523 |
[
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"timestamp": "04/23/2022 08:42:19",
"content": "Available help channel!",
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},
{
"id": 967406141355204600,
"author_id": 393321484849905660,
"author_name": "RonnyIsEthereal",
"timestamp": "04/23/2022 08:46:37",
"content": "hello, can somone explain what this question means?\n```\nuse your graph to find approximate solution(s) to the equation\n\n-2x^2 - 3x + 5 = -2x + 4\n```",
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"content": "Pinned a message.",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/23/2022 08:47:29",
"content": "have you drawn both of those functions on the same graph?",
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"content": "pink line is ```\n-2x^2 - 3x + 5\n```\nand purple is```-2x + 4```",
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"author_name": "iCaird",
"timestamp": "04/23/2022 08:49:21",
"content": "yep! so you just have to estimate the points where they intersect",
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"timestamp": "04/23/2022 08:49:35",
"content": "how can we do that",
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"id": 967406928609296400,
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"author_name": "iCaird",
"timestamp": "04/23/2022 08:49:45",
"content": "just read off the coordinates",
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"author_name": "RonnyIsEthereal",
"timestamp": "04/23/2022 08:49:50",
"content": "like literally?",
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"id": 967406961366814800,
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"author_name": "iCaird",
"timestamp": "04/23/2022 08:49:53",
"content": "at the intersection points",
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"timestamp": "04/23/2022 08:49:53",
"content": "yeah",
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"author_name": "iCaird",
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"content": "basically because you did it on desmos you're gonna get exact values",
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"author_name": "RonnyIsEthereal",
"timestamp": "04/23/2022 08:50:15",
"content": "that seems too simple, this question is worth 2 marks",
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"timestamp": "04/23/2022 08:50:17",
"content": "if you did it by hand it might be off slightly but you could estimate iygm",
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"timestamp": "04/23/2022 08:50:41",
"content": "nah two marks for drawing two graphs and reading off intersection points seems reasonable to me",
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"timestamp": "04/23/2022 08:50:56",
"content": "it seems easy because you chucked it into desmos which removes most of the work",
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"timestamp": "04/23/2022 08:51:31",
"content": "and there are 2 intersections as well",
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"timestamp": "04/23/2022 08:51:39",
"content": "so, that's probably where the 2 marks come in",
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"timestamp": "04/23/2022 08:51:45",
"content": "well thank you",
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"content": "@RonnyIsEthereal Has your question been resolved?",
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help-9
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372ec9e2278e49ddbc50560674f5684e
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199,524 |
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"timestamp": "04/23/2022 09:10:18",
"content": "Available help channel!",
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},
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"id": 967413094173270000,
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"author_name": "yew",
"timestamp": "04/23/2022 09:14:15",
"content": "is this true?",
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"timestamp": "04/23/2022 09:14:15",
"content": "Pinned a message.",
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"timestamp": "04/23/2022 09:29:51",
"content": "@yew Has your question been resolved?",
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"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "04/23/2022 09:30:16",
"content": "@yew Yes",
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"timestamp": "04/23/2022 09:33:04",
"content": "Channel closed",
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}
] |
help-9
|
82d39f6c5d83418cbdb0398f7ee73076
|
199,525 |
[
{
"id": 967418084765859800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 09:34:05",
"content": "Available help channel!",
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"reference": null
},
{
"id": 967419216489742300,
"author_id": 850020571243741200,
"author_name": "shaza",
"timestamp": "04/23/2022 09:38:34",
"content": "hey could any1 help me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 967419218318483500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 09:38:35",
"content": "Pinned a message.",
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"id": 967419323910070300,
"author_id": 850020571243741200,
"author_name": "shaza",
"timestamp": "04/23/2022 09:39:00",
"content": "?",
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},
{
"id": 967419346362179600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/23/2022 09:39:05",
"content": "?",
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},
{
"id": 967419440088096800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/23/2022 09:39:28",
"content": "It is John Math himself, founder of mathematics",
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},
{
"id": 967419526415257700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/23/2022 09:39:48",
"content": "then he doesnt need help",
"attachments": [],
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"reference": null
},
{
"id": 967419851234738200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/23/2022 09:41:06",
"content": "He is testing us",
"attachments": [],
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},
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"id": 967423099723219000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 09:54:00",
"content": "@shaza Has your question been resolved?",
"attachments": [],
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"timestamp": "04/23/2022 09:58:43",
"content": "Channel closed",
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}
] |
help-9
|
e293e63d4b674810b43cf447de275503
|
199,526 |
[
{
"id": 967424538642112600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 09:59:43",
"content": "Available help channel!",
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},
{
"id": 967424773850300400,
"author_id": 504017189351718900,
"author_name": "nullptr",
"timestamp": "04/23/2022 10:00:39",
"content": "any ideas how to explicitly define this set?",
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"timestamp": "04/23/2022 10:00:40",
"content": "Pinned a message.",
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"id": 967428549537562800,
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 10:15:40",
"content": "@nullptr Has your question been resolved?",
"attachments": [],
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{
"id": 967429502466678900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/23/2022 10:19:27",
"content": "explicitly as in roster form?",
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{
"id": 967431094213410800,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "04/23/2022 10:25:46",
"content": "It's already explicit. This is set builder notation",
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},
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"id": 967431310270427100,
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"author_name": "nullptr",
"timestamp": "04/23/2022 10:26:38",
"content": "yeah, that's what I meant",
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"id": 967436726249341000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/23/2022 10:48:09",
"content": "take n values from -2, -1, 0, 1 , 2",
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"id": 967436776073465900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/23/2022 10:48:21",
"content": "and find x values",
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},
{
"id": 967436837255790600,
"author_id": 504017189351718900,
"author_name": "nullptr",
"timestamp": "04/23/2022 10:48:36",
"content": "is it an infinite set?",
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},
{
"id": 967436841156481000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/23/2022 10:48:37",
"content": "then list them like A = {..., x1, x2, x3 ...}",
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},
{
"id": 967436858151817300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/23/2022 10:48:41",
"content": "yes",
"attachments": [],
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},
{
"id": 967436979895672800,
"author_id": 504017189351718900,
"author_name": "nullptr",
"timestamp": "04/23/2022 10:49:10",
"content": "alright, fair enough",
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},
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"id": 967436990679240800,
"author_id": 504017189351718900,
"author_name": "nullptr",
"timestamp": "04/23/2022 10:49:12",
"content": "thanks!",
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},
{
"id": 967437020991479900,
"author_id": 504017189351718900,
"author_name": "nullptr",
"timestamp": "04/23/2022 10:49:19",
"content": ".close",
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},
{
"id": 967437022056837100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 10:49:20",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
235bce7fa59d411d9e7eeb5eea23efed
|
199,527 |
[
{
"id": 967437275598307300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 10:50:20",
"content": "Available help channel!",
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},
{
"id": 967445779251871900,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "04/23/2022 11:24:08",
"content": "",
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"timestamp": "04/23/2022 11:24:08",
"content": "Pinned a message.",
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"id": 967445806724575200,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "04/23/2022 11:24:14",
"content": "idk how to solve further\nwhere did i make mistake?",
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},
{
"id": 967446738770198500,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "04/23/2022 11:27:56",
"content": "@Helpers (my post was in help1 but time ran out)",
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},
{
"id": 967446789059924100,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "04/23/2022 11:28:08",
"content": "so it exceeded 15 min already",
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},
{
"id": 967446920723325000,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "04/23/2022 11:28:40",
"content": "my approach was to use cos law",
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},
{
"id": 967447641413779600,
"author_id": 739764359450067000,
"author_name": "Off_set",
"timestamp": "04/23/2022 11:31:32",
"content": "im trying my best to help u but have no clue xD",
"attachments": [],
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},
{
"id": 967450696192503800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 11:43:40",
"content": "@Tq Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 11:58:40",
"content": "Channel closed",
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}
] |
help-9
|
a766418a349245d0a5b7db827d1c6819
|
199,528 |
[
{
"id": 967454725014433800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 11:59:40",
"content": "Available help channel!",
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},
{
"id": 967455213080424400,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:01:37",
"content": "Factoring question!",
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},
{
"id": 967455215240486900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 12:01:37",
"content": "Pinned a message.",
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"id": 967455275768500400,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:01:52",
"content": "I have to solve this equation.",
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"id": 967455337076629600,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:02:06",
"content": "These are my workings…",
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"timestamp": "04/23/2022 12:02:08",
"content": "(Not finished)",
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{
"id": 967455416495788000,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:02:25",
"content": "And this is the solution.",
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"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:03:14",
"content": "Obviously what I'm getting wrong is not knowing exactly when I should/am allowed to multiply it by the reciprocal(? the root denominator).",
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"id": 967455840086933500,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:04:06",
"content": "It's akin to multiplying by 1 so I don't think there's any requirement to multiply both sides, correct?",
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},
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"id": 967455894168277100,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:04:19",
"content": "When in my workings should I have done it to get this result?",
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},
{
"id": 967456014272200700,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:04:48",
"content": "Clearly you have to do it at some point to get the sqrt(15) in the numerator!",
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},
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"id": 967456090637865000,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:05:06",
"content": "But I'm not sure how you'd get the 3 instead of the 1 I ended up with…",
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},
{
"id": 967456193427673100,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "04/23/2022 12:05:30",
"content": ",w solve 3x^2 - 6x - 2 = 0",
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},
{
"id": 967456203888267300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/23/2022 12:05:33",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 967456390677397500,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:06:18",
"content": "Yes this is what I ended up with lol",
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},
{
"id": 967456461896704100,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:06:34",
"content": "But it seems to not be complete.",
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},
{
"id": 967456640632766600,
"author_id": 439956925497475100,
"author_name": "GustavoTCB",
"timestamp": "04/23/2022 12:07:17",
"content": "Also, why does the denominator go below both terms rather than only sqrt(5)? I'm confused by that as well.",
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},
{
"id": 967456971559170000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/23/2022 12:08:36",
"content": "$\\frac{3\\pm\\sqrt{15}}{3} = \\frac{3}{3} \\pm \\frac{\\sqrt{15}}{3}$",
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},
{
"id": 967456982921543800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/23/2022 12:08:39",
"content": "**iCaird**",
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"id": 967457199259541500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/23/2022 12:09:30",
"content": "$= 1 \\pm \\frac{\\sqrt{15}}{3} = 1 \\pm \\frac{\\sqrt{15}}{\\sqrt{9}}$",
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},
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"id": 967457400317673500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/23/2022 12:10:18",
"content": "**iCaird**",
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"author_name": "iCaird",
"timestamp": "04/23/2022 12:10:34",
"content": "and then one last step will give your answer",
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"content": "they are equivalent:)",
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"content": "Oh okay I see! So I think the only thing I was really confused by is when the reciprocal multiplication is allowed to take place (is that what it's called or am I mixing up the names?!). If I got this right, even within an addition/subtraction, is it done term-by-term rather than expression-by-expression?",
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"content": "give an example of what you mean",
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"content": "The one we were given works fine!\nIt seems you only multiplied (sqrt(15)/sqrt(3)) by (sqrt(3)/sqrt(3)) rather than the whole right-side expression.",
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"content": "ah",
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"content": "yeah thats called rationalising the denominator",
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"content": "you can do that whenever, and we dont need to do it to everything because all we're doing is timesing one term by $1 = \\frac{\\sqrt{3}}{\\sqrt{3}}$",
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"content": "**iCaird**",
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"content": "I had an inkling that was the way to go but I wasn't feeling very confident about it. Multiplied the whole expression and got a sqrt(3) in the numerator. Now it makes a whole lot more sense!",
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"timestamp": "04/23/2022 12:20:33",
"content": "Thanks a lot for your help!",
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"timestamp": "04/23/2022 12:20:43",
"content": "You're welcome!",
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"content": "Do I need to wait for the bot to ask me if my question was answered or can I do it manually to free up the room quicker?",
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"content": ".close",
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] |
help-9
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2603f68b5a0e4010bc34fde58cb9c26f
|
199,529 |
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"content": ",w 12+2.4sin(0.017(2t-60))",
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"timestamp": "04/23/2022 12:39:40",
"content": "“why does the graph look like a straight line?”",
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"content": "if there is a sin graph that looks like a straight line in all of existence i’ll eat my own sock",
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"timestamp": "04/23/2022 12:40:35",
"content": "where does it look like a straight line?",
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"timestamp": "04/23/2022 12:40:48",
"content": "that’s what the question says",
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"timestamp": "04/23/2022 12:42:14",
"content": "show the question",
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"timestamp": "04/23/2022 12:42:47",
"content": "it'll look like a straight line because the period is so large and we're zoomed in",
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"timestamp": "04/23/2022 12:43:36",
"content": "hmm ok",
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"timestamp": "04/23/2022 12:43:48",
"content": "so i should graph it from like 1-7",
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"content": "not 93-594",
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"timestamp": "04/23/2022 12:44:19",
"content": "it depends what the question wants from you",
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"content": "they're probably expecting you to graph it by hand",
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"timestamp": "04/23/2022 12:44:29",
"content": "and not on wa",
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"timestamp": "04/23/2022 12:44:30",
"content": "yup",
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"timestamp": "04/23/2022 12:45:09",
"content": "the period here is about 200, right?",
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"timestamp": "04/23/2022 12:45:31",
"content": "about that yeah",
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"timestamp": "04/23/2022 12:46:24",
"content": "what’s with those two diagonal lines?",
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"timestamp": "04/23/2022 12:46:33",
"content": "next to the nine",
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"timestamp": "04/23/2022 12:46:58",
"content": "its to indicate they've skipped along the line",
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"content": "iirc they represent that we want to start from the nine instead of 1",
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"timestamp": "04/23/2022 12:47:05",
"content": "its a placeholder for 0 up to 8",
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"timestamp": "04/23/2022 12:47:32",
"content": "nothing is happening down there so wolfram graphs it like that so there isnt tons of white space",
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"timestamp": "04/23/2022 13:01:16",
"content": "i should’ve closed this",
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"timestamp": "04/23/2022 13:01:18",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
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38010594480e4c1da550c0cfde10e0ae
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199,530 |
[
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"id": 967474546238161000,
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"timestamp": "04/23/2022 13:18:43",
"content": "so I'm not able to understand what they did in that step",
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"timestamp": "04/23/2022 13:19:27",
"content": "they added the integrals",
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"timestamp": "04/23/2022 13:19:29",
"content": "they multiplied by $\\frac{sec(x)-tan(x)}{sec(x)-tan(x)}$",
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"content": "**iCaird**",
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"timestamp": "04/23/2022 13:19:49",
"content": "oh oh nvm",
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"content": "@Ned Stark Has your question been resolved?",
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dd1081e33ae143d5bb94abe0785cf0d6
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"content": "hi does anybody know how the equation went from the first highlighted portion to the second one??",
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},
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"timestamp": "04/23/2022 14:21:09",
"content": "@majo Has your question been resolved?",
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"content": "@majo Has your question been resolved?",
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"id": 967506640662327300,
"author_id": 762386555460517900,
"author_name": "majo",
"timestamp": "04/23/2022 15:25:58",
"content": ".close",
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},
{
"id": 967506641857704100,
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"timestamp": "04/23/2022 15:25:58",
"content": "Channel closed",
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}
] |
help-9
|
9b641eb476a347e09b9c948ad5e66663
|
199,532 |
[
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"timestamp": "03/23/2022 15:31:42",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"content": "@Thunder7 Has your question been resolved?",
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}
] |
help-9
|
d5c2a1b1b5704f048aaa569c29230973
|
199,533 |
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},
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"content": "Pinned a message.",
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}
] |
help-9
|
ba5c82968079496facfd391255003716
|
199,534 |
[
{
"id": 967510537451749400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 15:41:27",
"content": "Available help channel!",
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},
{
"id": 967517008193274000,
"author_id": 678912206015823900,
"author_name": "JUGisMUG",
"timestamp": "04/23/2022 16:07:10",
"content": "I cant understand $A\\cap B' = A-B$",
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},
{
"id": 967517009241841700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 16:07:10",
"content": "Pinned a message.",
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"id": 967517290788712600,
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"author_name": "TeXit",
"timestamp": "04/23/2022 16:08:17",
"content": "**JUGisMUG**",
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{
"id": 967520044005355600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/23/2022 16:19:14",
"content": "A-B is \"everything in A that is also not in B\"",
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},
{
"id": 967520191527419900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/23/2022 16:19:49",
"content": "Do you see how this is also $A \\cap B'$?",
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},
{
"id": 967520202420011000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/23/2022 16:19:51",
"content": "**iCaird**",
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{
"id": 967520604855083000,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "04/23/2022 16:21:27",
"content": "A - B = A - A.B = A.(1 - B) = A.B' (dot is the intersection, or \"and\")",
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},
{
"id": 967520705451270100,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "04/23/2022 16:21:51",
"content": "If you treat it as boolean algebra",
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},
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"timestamp": "04/23/2022 16:26:52",
"content": "@JUGisMUG Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 16:41:52",
"content": "Channel closed",
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}
] |
help-9
|
a14c32cad9154fd794604f92ac43f227
|
199,535 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 16:42:52",
"content": "Available help channel!",
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},
{
"id": 967526706581766300,
"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "04/23/2022 16:45:42",
"content": "Can I get help on finding this",
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"timestamp": "04/23/2022 16:45:43",
"content": "Pinned a message.",
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"id": 967526739909693400,
"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "04/23/2022 16:45:50",
"content": "Function already there",
"attachments": [],
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},
{
"id": 967527701877502100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/23/2022 16:49:39",
"content": "Asymptotes happen when anything in the tan = π/2, 3π/2, ect",
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},
{
"id": 967527813898981500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/23/2022 16:50:06",
"content": "\"For all θ\" is a very weird thing to include in the question",
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},
{
"id": 967528351780708500,
"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "04/23/2022 16:52:14",
"content": "Yes that’s what was confusing me",
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},
{
"id": 967528746192085000,
"author_id": 395420559283978240,
"author_name": "CrXpOp",
"timestamp": "04/23/2022 16:53:48",
"content": ".close",
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},
{
"id": 967528747702042800,
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 16:53:49",
"content": "Channel closed",
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}
] |
help-9
|
0a8e8ced719e4ad0928d41d9e1453e58
|
199,536 |
[
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"timestamp": "04/23/2022 16:55:45",
"content": "Available help channel!",
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},
{
"id": 967534158421299200,
"author_id": 386674444791447550,
"author_name": "Undertoten",
"timestamp": "04/23/2022 17:15:19",
"content": "i have a question about this problem: https://cdn.discordapp.com/attachments/736421935264694462/967512366172487831/unknown.png\ni'm having a hard time determining if this problem is solvable or if i'm doing something horribly wrong.",
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"content": "Pinned a message.",
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"id": 967535173640007800,
"author_id": 386674444791447550,
"author_name": "Undertoten",
"timestamp": "04/23/2022 17:19:21",
"content": "the answer is supposed to be 2.464",
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},
{
"id": 967535195236491300,
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"author_name": "Undertoten",
"timestamp": "04/23/2022 17:19:26",
"content": "from the back of the book",
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},
{
"id": 967536129161199600,
"author_id": 279836708160274430,
"author_name": "Jangles",
"timestamp": "04/23/2022 17:23:09",
"content": "I think you can solve it....you have the length of A to the centre and B/C to the centre",
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},
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"id": 967536190335123600,
"author_id": 279836708160274430,
"author_name": "Jangles",
"timestamp": "04/23/2022 17:23:23",
"content": "oh wait",
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},
{
"id": 967536328881373300,
"author_id": 279836708160274430,
"author_name": "Jangles",
"timestamp": "04/23/2022 17:23:56",
"content": "nvm, you can't use Pythagoras theorem if its not a right angled triangle",
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},
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"timestamp": "04/23/2022 17:34:26",
"content": "@Undertoten Has your question been resolved?",
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"id": 967539379423838200,
"author_id": 386674444791447550,
"author_name": "Undertoten",
"timestamp": "04/23/2022 17:36:04",
"content": "we were reading the 1.313 as the wrong side, its the centre lines from the circles to the direct middle, not the top of the top most triangle",
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},
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"id": 967539396888920000,
"author_id": 386674444791447550,
"author_name": "Undertoten",
"timestamp": "04/23/2022 17:36:08",
"content": "we were just reading it wrong",
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},
{
"id": 967539405554335700,
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 17:36:10",
"content": "Channel closed",
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}
] |
help-9
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40d00567ed9c489ea3004fa00fd31425
|
199,537 |
[
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"content": "Available help channel!",
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},
{
"id": 967541728263409700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/23/2022 17:45:24",
"content": "can someone explain this to me",
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},
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"id": 967541730599637100,
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 17:45:24",
"content": "Pinned a message.",
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"timestamp": "04/23/2022 17:46:17",
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"id": 967542171039318100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/23/2022 17:47:09",
"content": "just dont understand the third and last steps and how to get that answer",
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},
{
"id": 967542894225424400,
"author_id": 747996003147317200,
"author_name": "VictorLee",
"timestamp": "04/23/2022 17:50:02",
"content": "For step 3 they said 3n = (6/2)n and then subtracted and the last step they just divided and simplified",
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"id": 967544839040286700,
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"timestamp": "04/23/2022 17:57:45",
"content": "where did they get the 3n from?",
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"id": 967544967700545700,
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"author_name": "Lex1729",
"timestamp": "04/23/2022 17:58:16",
"content": "im not sure how they got to -28/7",
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"timestamp": "04/23/2022 18:13:16",
"content": "@Lex1729 Has your question been resolved?",
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}
] |
help-9
|
ac5cbee326ee4e2ca29029fe558aba5b
|
199,538 |
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"timestamp": "04/23/2022 18:29:17",
"content": "Available help channel!",
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},
{
"id": 967552917357854700,
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"author_name": "Bahnahnah",
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"content": "Pinned a message.",
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"author_id": 727675453934141600,
"author_name": "Bahnahnah",
"timestamp": "04/23/2022 18:30:11",
"content": "Could someone help me with the part 2 of the question - starting from Now apply the modified newton method to f(x)",
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},
{
"id": 967553094835654700,
"author_id": 727675453934141600,
"author_name": "Bahnahnah",
"timestamp": "04/23/2022 18:30:34",
"content": "im not clear on how to add linear approximation to this",
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},
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"id": 967556870522933200,
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"timestamp": "04/23/2022 18:45:34",
"content": "@Bahnahnah Has your question been resolved?",
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"id": 967557087192305800,
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"author_name": "Kaynex",
"timestamp": "04/23/2022 18:46:25",
"content": "I agree, not certain what Δx is supposed to be here",
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},
{
"id": 967558892018098300,
"author_id": 920394925365936100,
"author_name": "bellatookurman",
"timestamp": "04/23/2022 18:53:36",
"content": "whats 100%100?",
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},
{
"id": 967560646189281400,
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 19:00:34",
"content": "Channel closed",
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}
] |
help-9
|
5e9f026b4bdd4e6482ecc2085a3ceef8
|
199,539 |
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"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 21:13:28",
"content": "Available help channel!",
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"id": 967597325658767400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/23/2022 21:26:19",
"content": "is my answer correct? for the first question?",
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"timestamp": "04/23/2022 21:26:19",
"content": "Pinned a message.",
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"id": 967598144198152200,
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"author_name": "Ansh_",
"timestamp": "04/23/2022 21:29:34",
"content": "the inverse for A looks correct!",
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"timestamp": "04/23/2022 21:29:43",
"content": "Really?",
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"id": 967598235856289900,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "04/23/2022 21:29:56",
"content": "now you just ought to evaluate the square of this 3x3",
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"id": 967598280131375100,
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"author_name": "Ansh_",
"timestamp": "04/23/2022 21:30:07",
"content": "Yep, really",
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"id": 967598302566711400,
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"timestamp": "04/23/2022 21:30:12",
"content": "Someone wrote it like this and I was confused",
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"id": 967598496616157200,
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"timestamp": "04/23/2022 21:30:58",
"content": "nah that's incorrect",
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"id": 967598701197557800,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "04/23/2022 21:31:47",
"content": ",w inverse of ((1,1,0), (1,0,0), (1,2,1))",
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"id": 967598714644492300,
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"timestamp": "04/23/2022 21:31:50",
"content": "Results provided by WolframAlpha",
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"id": 967598757548023900,
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"author_name": "Ansh_",
"timestamp": "04/23/2022 21:32:00",
"content": "see :this:",
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"timestamp": "04/23/2022 21:38:18",
"content": "i knew it!",
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"id": 967600608108507300,
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"author_name": "Deleted User",
"timestamp": "04/23/2022 21:39:22",
"content": "how can i get A^-1T?",
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"id": 967601426085847000,
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"author_name": "Ansh_",
"timestamp": "04/23/2022 21:42:37",
"content": "just evaluate the transpose ?",
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"author_name": "Ansh_",
"timestamp": "04/23/2022 21:42:46",
"content": "do you not know how to calculate the transpose of a matrix?",
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"timestamp": "04/23/2022 21:46:05",
"content": "yeah",
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"timestamp": "04/23/2022 21:49:53",
"content": "for transpose you can look up on google",
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"timestamp": "04/23/2022 21:50:05",
"content": "it might be misunderstood if I try to explain with text",
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"timestamp": "04/23/2022 21:50:22",
"content": "it's a simple process where you interchange columns with rows",
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"id": 967603481185751000,
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"author_name": "Ansh_",
"timestamp": "04/23/2022 21:50:47",
"content": "like first column elements all change with first row elements, second column with second row and 3rd with 3rd",
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"timestamp": "04/23/2022 21:57:41",
"content": "also i wonder is B a 2x3 ?",
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"timestamp": "04/23/2022 22:12:42",
"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
5cd274456c2840e38d921ab08607a051
|
199,540 |
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"timestamp": "04/23/2022 22:28:42",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "04/23/2022 22:32:55",
"content": "Solve this",
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"timestamp": "04/23/2022 22:33:58",
"content": "what i have done so far",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:34:35",
"content": "so i let square root 3x-2 is a",
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"timestamp": "04/23/2022 22:34:43",
"content": "and square root x+2 is b",
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{
"id": 967614615028662300,
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:35:01",
"content": "it become 2a + b >= 3 square root ab",
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"timestamp": "04/23/2022 22:35:15",
"content": "square both i got",
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"timestamp": "04/23/2022 22:35:24",
"content": "4a^2 -5ab + b^2 >=0",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:35:30",
"content": "and it same as",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:35:37",
"content": "(4a-b)(a-b) >=0",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:35:39",
"content": "at this point",
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"timestamp": "04/23/2022 22:35:47",
"content": "i dont know if",
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"timestamp": "04/23/2022 22:35:54",
"content": "both 4a - b and a-b >=0",
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"timestamp": "04/23/2022 22:35:56",
"content": "or <=0",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:36:32",
"content": "yea i know it is 2 diffrenet case",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:36:47",
"content": "so with the condition of the problem",
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"timestamp": "04/23/2022 22:36:51",
"content": "i got",
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"author_name": "Looit™",
"timestamp": "04/23/2022 22:37:05",
"content": "0,66 <= x <= 0,72 and x>=2",
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"timestamp": "04/23/2022 22:37:57",
"content": "but the 0,66 is just the condition of the math, and from 0,66 to 0,72 i dont know it is the right x to find",
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"timestamp": "04/23/2022 22:52:58",
"content": "@Looit™ Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
58fed279757447da8c7a80b1c17842c3
|
199,541 |
[
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"id": 967623158381297700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/23/2022 23:08:58",
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"id": 967623923648852000,
"author_id": 816612288165314600,
"author_name": "IS",
"timestamp": "04/23/2022 23:12:00",
"content": "Through the point P(4,1) a kine is drawn to meet the line 3x-y=0 at Q where $$PQ = \\frac{11}{2\\sqrt2}$$. Determine the equation of line.",
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"timestamp": "04/23/2022 23:12:18",
"content": "**IS**",
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"content": "This is my working:",
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"timestamp": "04/23/2022 23:14:25",
"content": "I shouldn't have gotten that number 161 which is not a perfect square according to the answer key, what am I doing wrong?",
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"timestamp": "04/23/2022 23:29:25",
"content": "@IS Has your question been resolved?",
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"timestamp": "04/23/2022 23:46:57",
"content": "I am going to assume ;\na = 80 b = -112 and c = 7 and let me try your method and see if I get the same answer as you. give me a sec",
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"timestamp": "04/23/2022 23:55:24",
"content": "I got 161 too.",
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"author_name": "ymme",
"timestamp": "04/24/2022 00:00:15",
"content": "I think I found the problem: Third line, shouldn't it be 17? not 16?",
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"timestamp": "04/24/2022 00:03:24",
"content": "That changes c = 15. i think",
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"timestamp": "04/24/2022 00:07:36",
"content": "Oh, yeah",
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"timestamp": "04/24/2022 00:07:41",
"content": "Thanks",
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"id": 967638314175832000,
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"timestamp": "04/24/2022 00:09:11",
"content": ".close",
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"content": "Channel closed",
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help-9
|
db341a58a3b749adaee67710d593f346
|
199,542 |
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"timestamp": "04/24/2022 00:27:54",
"content": "how can i get the sum of this series",
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"content": "Pinned a message.",
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"timestamp": "04/24/2022 00:27:56",
"content": "im stuck",
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},
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"timestamp": "04/24/2022 00:42:56",
"content": "@oregano Has your question been resolved?",
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"author_name": "jan Niku",
"timestamp": "04/24/2022 00:48:13",
"content": "can you use geometric :thonk:",
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"author_name": "jan Niku",
"timestamp": "04/24/2022 00:48:18",
"content": "split it into two sums",
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},
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"id": 967648170601492500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/24/2022 00:48:21",
"content": "this is what i would try",
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},
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"author_name": "oregano",
"timestamp": "04/24/2022 00:50:42",
"content": "i tried that but i didnt get any of the proposed answers, lemme try again",
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"timestamp": "04/24/2022 00:52:10",
"content": "ty for the spoiler, ill have a go at it and see what i get",
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"id": 967649158481719300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/24/2022 00:52:17",
"content": ":catthumbsup:",
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"timestamp": "04/24/2022 00:55:52",
"content": "Alriighty i got that, lets see",
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"timestamp": "04/24/2022 00:56:04",
"content": "oh cool",
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"author_name": "oregano",
"timestamp": "04/24/2022 00:57:17",
"content": "tyty i think last time i put $\\frac{1}{1- \\frac{7}{11}}$",
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"timestamp": "04/24/2022 00:57:19",
"content": "**oregano**",
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"content": ":happy:",
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"timestamp": "04/24/2022 00:57:59",
"content": ".close",
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},
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"id": 967650593046941700,
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"timestamp": "04/24/2022 00:57:59",
"content": "Channel closed",
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}
] |
help-9
|
88ec96b8949f40b5bcf143c8e64a2ee3
|
199,543 |
[
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"timestamp": "03/23/2022 16:07:37",
"content": "Available help channel!",
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},
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"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 16:13:23",
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"timestamp": "03/23/2022 16:13:25",
"content": "**Goose on a Moose**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"content": "Channel closed",
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] |
help-9
|
1115a926f69048d29546c540f9077cb5
|
199,544 |
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"id": 967711750650728400,
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"timestamp": "04/24/2022 05:01:00",
"content": "Available help channel!",
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},
{
"id": 967715615467012200,
"author_id": 913846371382091900,
"author_name": "-- 000 ---",
"timestamp": "04/24/2022 05:16:22",
"content": "What is the logic of the inside out product ? can you explain why",
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},
{
"id": 967715617106985000,
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"content": "Pinned a message.",
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"author_name": "Mr.Darkside",
"timestamp": "04/24/2022 05:19:09",
"content": "What's that? Do you have an example?",
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"content": "@-- 000 --- Has your question been resolved?",
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] |
help-9
|
605665cf18cd462f9813e543079edaec
|
199,545 |
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"id": 967723419602931700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 05:47:22",
"content": "Available help channel!",
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},
{
"id": 967730223707738100,
"author_id": 826862665024536700,
"author_name": "Evie❄",
"timestamp": "04/24/2022 06:14:24",
"content": "would someone help me by telling what we say to this sign in maths",
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},
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"id": 967730225465155600,
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"content": "Pinned a message.",
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"author_id": 643741115501117400,
"author_name": "Samarth",
"timestamp": "04/24/2022 06:14:44",
"content": "Which sign?",
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},
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"id": 967730342259744800,
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"content": "wait",
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"author_id": 826862665024536700,
"author_name": "Evie❄",
"timestamp": "04/24/2022 06:15:03",
"content": ".left",
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"id": 967730445016006700,
"author_id": 643741115501117400,
"author_name": "Samarth",
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"content": ",rotate",
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"author_name": "Evie❄",
"timestamp": "04/24/2022 06:15:45",
"content": "that percentage alike sign",
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"id": 967730564553642000,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/24/2022 06:15:46",
"content": "pretty sure it's like percent but instead of /100 its /1000",
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},
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"id": 967730597948710900,
"author_id": 826862665024536700,
"author_name": "Evie❄",
"timestamp": "04/24/2022 06:15:54",
"content": "oh lol",
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"id": 967730629519245300,
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"author_name": "Evie❄",
"timestamp": "04/24/2022 06:16:01",
"content": "thnx, i got it",
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{
"id": 967730747916058600,
"author_id": 180985725045440500,
"author_name": "Az",
"timestamp": "04/24/2022 06:16:29",
"content": "you'd call it a permille iirc",
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},
{
"id": 967730792405024800,
"author_id": 180985725045440500,
"author_name": "Az",
"timestamp": "04/24/2022 06:16:40",
"content": "very rare notationj",
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"id": 967730808704077800,
"author_id": 826862665024536700,
"author_name": "Evie❄",
"timestamp": "04/24/2022 06:16:44",
"content": "okay! thankyou",
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"author_name": "Evie❄",
"timestamp": "04/24/2022 06:17:21",
"content": "not sure, though its in my geo where they used it to measure saltiness of ocean",
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"content": ".done",
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},
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"id": 967730997913329700,
"author_id": 826862665024536700,
"author_name": "Evie❄",
"timestamp": "04/24/2022 06:17:29",
"content": ",done",
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"id": 967731011540623400,
"author_id": 180985725045440500,
"author_name": "Az",
"timestamp": "04/24/2022 06:17:32",
"content": "close",
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"id": 967731037763412000,
"author_id": 756843971262677100,
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"content": "do .close",
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"content": ".close",
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help-9
|
96b3a96ea8a345d79141df5b6f700736
|
199,546 |
[
{
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"timestamp": "04/24/2022 06:24:26",
"content": "Available help channel!",
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},
{
"id": 967734653266034800,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "04/24/2022 06:32:00",
"content": "Can someone help me with IEEE 754?",
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"id": 967734655233183700,
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"content": "Pinned a message.",
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"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "04/24/2022 06:32:14",
"content": "It's computer science but it's mathematical",
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},
{
"id": 967734736380366800,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "04/24/2022 06:32:20",
"content": "since computer science is literally math but in computers",
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"id": 967737393589395600,
"author_id": 867050026161406000,
"author_name": "deflect",
"timestamp": "04/24/2022 06:42:54",
"content": "@Helpers",
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},
{
"id": 967738275756388400,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/24/2022 06:46:24",
"content": "Put your questions someone might be able to help but generally I think would be better",
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"id": 967738338582868000,
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"timestamp": "04/24/2022 06:46:39",
"content": "the link doesn't seem to work",
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},
{
"id": 967738366609203200,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/24/2022 06:46:46",
"content": "1 sec",
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},
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"id": 967738381800976400,
"author_id": 867050026161406000,
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"timestamp": "04/24/2022 06:46:49",
"content": "all good",
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"id": 967738640648249300,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/24/2022 06:47:51",
"content": "https://disboard.org/server/join/678840743019937843",
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},
{
"id": 967738725314482200,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/24/2022 06:48:11",
"content": "Still I think people can help u with that here just post and if people can they will",
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"id": 967738790229717000,
"author_id": 867050026161406000,
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"timestamp": "04/24/2022 06:48:27",
"content": "yeah I just need help understanding IEEE 754",
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"timestamp": "04/24/2022 07:03:27",
"content": "@deflect Has your question been resolved?",
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"timestamp": "04/24/2022 07:35:29",
"content": "@deflect Has your question been resolved?",
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"timestamp": "04/24/2022 08:05:29",
"content": "Channel closed",
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}
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help-9
|
77fee6d50d504d9bafc61b1a4e4507d4
|
199,547 |
[
{
"id": 967763521423163400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 08:26:43",
"content": "Available help channel!",
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},
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"id": 967765651924090900,
"author_id": 384461299792347140,
"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:35:11",
"content": "Guys I need a hand how do I graph `|z-i| = 1`?",
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"id": 967765654130294800,
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"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 08:35:12",
"content": "Pinned a message.",
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"id": 967766616345546900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/24/2022 08:39:01",
"content": "Can you say what that equation means in words?",
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},
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"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:40:00",
"content": "Absolute value of z - i is 1",
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},
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"id": 967767143892549600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/24/2022 08:41:07",
"content": "What does |z-i| represent in terms of distance?",
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},
{
"id": 967767185462272100,
"author_id": 384461299792347140,
"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:41:17",
"content": "Radius",
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},
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"id": 967767523628032000,
"author_id": 911095455537037400,
"author_name": "Plegasus",
"timestamp": "04/24/2022 08:42:37",
"content": "Is one of z or i fixed?",
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},
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"id": 967767622399709300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 08:43:01",
"content": "i is fixed obv :catBruh:",
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"id": 967767644986019800,
"author_id": 911095455537037400,
"author_name": "Plegasus",
"timestamp": "04/24/2022 08:43:06",
"content": "Lol.",
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},
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"id": 967767653538201600,
"author_id": 384461299792347140,
"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:43:08",
"content": "Lmao",
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"id": 967767658508451800,
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"author_name": "Plegasus",
"timestamp": "04/24/2022 08:43:10",
"content": "Yeah.",
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},
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"id": 967767721364320300,
"author_id": 384461299792347140,
"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:43:25",
"content": "Oh so shift it",
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"id": 967767774732619800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 08:43:37",
"content": "if |z| = 1",
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},
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"author_name": "Plegasus",
"timestamp": "04/24/2022 08:43:43",
"content": "No, consider the complex plane.",
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"author_name": "Swas.py",
"timestamp": "04/24/2022 08:43:51",
"content": "then that means the number z is 1 unit way from the origin",
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"timestamp": "04/24/2022 08:43:54",
"content": "Yeah shift the graph down one",
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"author_name": "Plegasus",
"timestamp": "04/24/2022 08:43:58",
"content": "Yep",
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},
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 08:44:06",
"content": "so the number z could lie anywhere on the unit circle",
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"author_id": 911095455537037400,
"author_name": "Plegasus",
"timestamp": "04/24/2022 08:44:07",
"content": "Oh that what you meant.",
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"author_name": "Swas.py",
"timestamp": "04/24/2022 08:44:38",
"content": "yes",
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"author_name": "Plegasus",
"timestamp": "04/24/2022 08:44:48",
"content": "Was referring to Mitchell not you Swas.",
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"author_name": "iCaird",
"timestamp": "04/24/2022 08:44:52",
"content": "No you would shift it up by one",
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"author_name": "Swas.py",
"timestamp": "04/24/2022 08:44:57",
"content": "wait yes up not down",
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"id": 967768197036113900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/24/2022 08:45:18",
"content": "|z-i| is the distance between z and i",
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},
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"id": 967768251532714000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "04/24/2022 08:45:31",
"content": "So if that distance is 1 we are looking for all z that are a distance 1 from i",
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"author_id": 384461299792347140,
"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:46:07",
"content": "Which would be up",
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"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:47:56",
"content": "I have to sketch it intersecting with `Re(z) = -1/rt3 * Im(z)` which I imagine is akin to `x = -1/rt3 * y` right?",
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"id": 967769183720996900,
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"author_name": "Swas.py",
"timestamp": "04/24/2022 08:49:13",
"content": "another way to do this would be\nlet z = (a + bi)\nz-i = a+(b-1)i\n|z-i| = sqrt(a^2 + (b-1)^2)\nsqrt(a^2 + (b-1)^2) = 1\na^2 + (b-1)^2 = 1\n\nand notice that this is the equation of a circle and of the form\n(x-h)^2 + (y-k)^2 = r^2, where r is the radius and (h,k) is the center\n\nso (h,k) here is (0,1) and radius is 1",
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"author_name": "Mitchell Warrick",
"timestamp": "04/24/2022 08:49:48",
"content": "Cheers dudes 👍",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 09:04:48",
"content": "@Mitchell Warrick Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 09:04:58",
"content": "Channel closed",
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}
] |
help-9
|
e68d73e32f3048b28c44428e3cff3143
|
199,548 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 09:05:58",
"content": "Available help channel!",
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},
{
"id": 967773735258038400,
"author_id": 678912206015823900,
"author_name": "JUGisMUG",
"timestamp": "04/24/2022 09:07:18",
"content": "Yes thats what I dont see",
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"timestamp": "04/24/2022 09:07:19",
"content": "Pinned a message.",
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"timestamp": "04/24/2022 09:22:19",
"content": "@JUGisMUG Has your question been resolved?",
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"timestamp": "04/24/2022 09:37:19",
"content": "Channel closed",
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] |
help-9
|
550a02af6fcc4ab5a8292e3384cdd9c5
|
199,549 |
[
{
"id": 967789683625046100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 10:10:41",
"content": "Available help channel!",
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},
{
"id": 967791948519862400,
"author_id": 805217272087838700,
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"timestamp": "04/24/2022 10:19:41",
"content": "Pinned a message.",
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"id": 967791952588312600,
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"content": "Channel closed",
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] |
help-9
|
92f8f1e1c1be4587a3b4f6e95a22b13e
|
199,550 |
[
{
"id": 967792052903485400,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:20:06",
"content": "How does the last step follow",
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"id": 967792156410511400,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:20:30",
"content": "And where can we see the equality",
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"id": 967792248148340700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:20:52",
"content": "can you try .reopen",
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},
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"id": 967792270277501000,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:20:57",
"content": "Ok",
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},
{
"id": 967792274442448900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:20:58",
"content": "wait it won't work",
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},
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"id": 967792283737010200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:21:01",
"content": "maybe",
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},
{
"id": 967792300702978000,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:21:05",
"content": ".reopen",
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},
{
"id": 967792311176159200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:21:07",
"content": "yeah",
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},
{
"id": 967792342427902000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:21:15",
"content": "post it in another channel this closed",
"attachments": [],
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},
{
"id": 967792409696161800,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:21:31",
"content": "B.. But i can chat here",
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"id": 967792464985456800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:21:44",
"content": "the bot will move this away soon ig",
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},
{
"id": 967792491820625900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:21:50",
"content": "not sure what the time limit is",
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},
{
"id": 967792502377697300,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:21:53",
"content": "Oh alr then",
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},
{
"id": 967792533700751400,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:22:00",
"content": "Thx for the heads up",
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},
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"id": 967792561068601500,
"author_id": 942471856076750800,
"author_name": "Legitimate Towel",
"timestamp": "04/24/2022 10:22:07",
"content": ".close",
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},
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 10:22:14",
"content": "already closed xd",
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},
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"id": 967794473226608600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 10:29:43",
"content": "Available help channel!",
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},
{
"id": 967799131663908900,
"author_id": 335973699372974100,
"author_name": "Frodo",
"timestamp": "04/24/2022 10:48:13",
"content": "anyone experienced with spreadsheet queries?",
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"id": 967799132918005800,
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"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 10:48:14",
"content": "Pinned a message.",
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{
"id": 967799359687241700,
"author_id": 696507430703595600,
"author_name": "LTHMath",
"timestamp": "04/24/2022 10:49:08",
"content": "I've done a little tinkering around with excel, so it depends on how hard the question is.",
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"id": 967799382747525100,
"author_id": 335973699372974100,
"author_name": "Frodo",
"timestamp": "04/24/2022 10:49:13",
"content": "the query above returns results based on a specific date, it works",
"attachments": [
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"id": 967799524238168000,
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"author_name": "Frodo",
"timestamp": "04/24/2022 10:49:47",
"content": "now the other yellow cell, uses this query and also works, giving four results",
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"id": 967799608170397800,
"author_id": 335973699372974100,
"author_name": "Frodo",
"timestamp": "04/24/2022 10:50:07",
"content": "now i want to filter the second query on specific dates aswell",
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"id": 967799665410056200,
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"author_name": "Frodo",
"timestamp": "04/24/2022 10:50:21",
"content": "but whatever i type for the A or J column it just returns an empty list",
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},
{
"id": 967799783731363800,
"author_id": 335973699372974100,
"author_name": "Frodo",
"timestamp": "04/24/2022 10:50:49",
"content": "i even tried to edit one entree in the J column to 2005 and write J > 2000 but still doesnt work",
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"id": 967799913918378000,
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"author_name": "Frodo",
"timestamp": "04/24/2022 10:51:20",
"content": "eventho the exact same does work for the first yellow cell, im so stuck been staring for an hour 😦",
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"author_id": 335973699372974100,
"author_name": "Frodo",
"timestamp": "04/24/2022 10:52:10",
"content": "this one doesnt work for example, eventho you can clearly see J is 2005 above",
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"author_name": "LTHMath",
"timestamp": "04/24/2022 10:52:43",
"content": "hmm, I'll put it in my excel and see if I can figure it out.",
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"author_name": "Frodo",
"timestamp": "04/24/2022 10:53:39",
"content": "i can link you the spreadsheet if youd like",
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"timestamp": "04/24/2022 10:53:51",
"content": "Ok",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 11:08:39",
"content": "@Frodo Has your question been resolved?",
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"timestamp": "04/24/2022 11:45:51",
"content": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaa finally found it",
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},
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"id": 967813834200985600,
"author_id": 335973699372974100,
"author_name": "Frodo",
"timestamp": "04/24/2022 11:46:39",
"content": "for the first one i was using the word \"date\" which was definitely required whereas for the second one it magically only works without this keyword",
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"timestamp": "04/24/2022 11:46:49",
"content": "still no clue, but if it works it works😂 ✅",
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"timestamp": "04/24/2022 12:16:49",
"content": "@Frodo Has your question been resolved?",
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"timestamp": "04/24/2022 12:41:24",
"content": "Channel closed",
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}
] |
help-9
|
d4bd98019e7645d8b306f24f3e8b8273
|
199,551 |
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"timestamp": "04/24/2022 13:25:52",
"content": "Available help channel!",
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"id": 967839715984293900,
"author_id": 941889339141537800,
"author_name": "kuroneko",
"timestamp": "04/24/2022 13:29:29",
"content": "For real number x and y\nit is given that:\nx^2 + y^2 = 13\n\nFind Mm where 'M' is the maximum of 'x + 2y' and 'm' is the minimum of 'x +2y'\nwhat is the answer and how can I get it? I dont get it at all",
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"content": "Pinned a message.",
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"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/24/2022 13:37:03",
"content": "try to express y as a function of x",
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"author_name": "kuroneko",
"timestamp": "04/24/2022 13:39:51",
"content": "and?",
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"timestamp": "04/24/2022 13:40:04",
"content": "substitute in x + 2y",
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"id": 967842437932400800,
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"author_name": "Swas.py",
"timestamp": "04/24/2022 13:40:18",
"content": "then maximize it",
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"id": 967845182647197700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "04/24/2022 13:51:13",
"content": "Draw the diagram , check the intersection of the cycle and y=2x",
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"author_name": "Cogwheels of the mind",
"timestamp": "04/24/2022 13:53:33",
"content": "Or x=sqrt(13)cos(t),y=sqrt(13)sin(t), so x+2y=sqrt(65)sin(something). And |sin|<=1",
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"content": "@kuroneko Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
d188b4ac00e5404b928d10204db5a60c
|
199,552 |
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"content": "Available help channel!",
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"author_id": 831991961841434600,
"author_name": "pinkweirdsunsets",
"timestamp": "04/24/2022 14:15:56",
"content": "hii",
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"content": "Pinned a message.",
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"author_name": "pinkweirdsunsets",
"timestamp": "04/24/2022 14:16:37",
"content": "i understand everything until they start finding out 3^4 and so on",
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"author_name": "pinkweirdsunsets",
"timestamp": "04/24/2022 14:17:24",
"content": "how are they finding the value without actually calculating 3^8 and then taking the mod 7 out of it",
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"timestamp": "04/24/2022 14:32:24",
"content": "@pinkweirdsunsets Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "04/24/2022 15:38:51",
"content": "@pinkweirdsunsets Has your question been resolved?",
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help-9
|
e2fa755e4f004064b88fec60637c6d63
|
199,553 |
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"content": "Available help channel!",
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"content": "Pinned a message.",
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help-9
|
7a3eccc6fc5942b09fc9b43d8da38a34
|
199,554 |
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"timestamp": "03/23/2022 16:23:26",
"content": "Available help channel!",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
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"id": 956291188451864600,
"author_id": 245745365540798460,
"author_name": "omega",
"timestamp": "03/23/2022 16:39:46",
"content": "Hi there, when solving the integral $\\int e^{arccos(x)}dx$ I run into the issue where just before I completely solve, I have to substitute $u=arccos(x)$ into $e^u (sin(u) -cos(u)),$ which to my mind would evaluate to $e^{arccos(x)}(\\sqrt{1-x^2}-x)$ however wolfram alpha, desmos, and the source of the integral all give the solution as $e^{arccos(x)}(x-\\sqrt{1-x^2})$ which doesn't make sense to me. Where does the extra sign come into the equation after the substitution?",
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"content": "Pinned a message.",
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"timestamp": "03/23/2022 16:46:46",
"content": "**omega**",
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"content": "@omega Has your question been resolved?",
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"content": "@Helpers",
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"content": "@Helpers",
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"author_name": "riemann",
"timestamp": "03/23/2022 17:27:01",
"content": "No need to ping so often",
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"content": "It's been 20 minutes and no one except you has commented on my question",
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"timestamp": "03/23/2022 17:28:44",
"content": "There are many reasons why no one's responded. Doesn't matter if it's been 20 minutes, don't need to ping that often",
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"timestamp": "03/23/2022 17:32:29",
"content": "Fair enough, any comment on my question?",
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"timestamp": "03/23/2022 17:47:50",
"content": "You probably just have a sign error",
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"timestamp": "03/23/2022 18:02:30",
"content": "@omega Has your question been resolved?",
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"timestamp": "03/23/2022 18:14:46",
"content": "I figured it out",
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"author_name": "omega",
"timestamp": "03/23/2022 18:15:53",
"content": "I didn't realize that $\\frac{d} {dx} arccos = \\frac{-1} {\\sqrt{1-x^2}}$",
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"timestamp": "03/23/2022 18:16:03",
"content": "**omega**",
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help-9
|
b6e0ef38481948a4aba0c8f790ab31b6
|
199,555 |
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"timestamp": "04/24/2022 16:25:10",
"content": "Need someone to walk me through this pls",
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"timestamp": "04/24/2022 16:25:17",
"content": "im terrible at this topic",
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"content": "@<><><> Has your question been resolved?",
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"content": "@<><><> Has your question been resolved?",
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"content": "**azeem321**",
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] |
help-9
|
d961972da2ca43d0879f203aa7238b47
|
199,556 |
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"timestamp": "04/24/2022 19:40:51",
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"content": "May I know here what `n > N` symbolizes?",
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"content": "n is supposed to belong to the indexing set in this case naturals, and there is a forall needed in that statement so its basically saying after every term after the Nth term satisfies the inequality given there",
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"content": "Should it be every term after nth term...?",
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"content": "n is a variable so every term after nth term makes not much sense unless you specify the value of n, they have specified the value to be N so its every term after Nth term",
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"timestamp": "04/24/2022 19:54:11",
"content": "Then may I know why it it `n > N`?",
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"content": "because we may choose N",
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"content": "so, for every term that comes after our chosen N, the equality holds",
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"content": "this question does not make sense to me, are you asking why is epsilon-delta definition of limits defined this way or are you asking why is it n > N as opposed to (N > n)?",
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"timestamp": "04/24/2022 19:57:07",
"content": "Yes, my question is if it is after the Nth term then why it is n > N?",
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"timestamp": "04/24/2022 19:58:00",
"content": "so the term that comes after the Nth term is (N+1)th term",
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"timestamp": "04/24/2022 19:58:24",
"content": "Yes, so should not it be something like `N < N + 1`?",
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"timestamp": "04/24/2022 19:58:33",
"content": "and the term after that will be (N+2)th term ...",
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"timestamp": "04/24/2022 19:59:18",
"content": "that is just changing sides of an inequality :/ that is the same as N+1 > N and since N+1 is a value of n same as n > N or N < n if you like",
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"timestamp": "04/24/2022 19:59:54",
"content": "I see. Thank you 🙂",
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"content": ".close",
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] |
help-9
|
e03049cece07463e8db58ef566bc2be0
|
199,557 |
[
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"content": "Available help channel!",
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"id": 967946723546792000,
"author_id": 215853754828718080,
"author_name": "BoddaDsk",
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"content": "does this look right? something about it doesnt sit right with me",
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] |
help-9
|
cdd2757fd5dc49dcbae0273899816a2e
|
199,558 |
[
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"timestamp": "04/24/2022 22:03:36",
"content": "Available help channel!",
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"id": 967969347945525200,
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"timestamp": "04/24/2022 22:05:53",
"content": "why does he do v^2/r = 4pier/T^2",
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"id": 967969693803634700,
"author_id": 858757612643024900,
"author_name": "doggy",
"timestamp": "04/24/2022 22:05:59",
"content": "cant u just use one formula",
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"id": 967969700086689800,
"author_id": 858757612643024900,
"author_name": "doggy",
"timestamp": "04/24/2022 22:06:00",
"content": "to get it?",
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},
{
"id": 967969880114622500,
"author_id": 858757612643024900,
"author_name": "doggy",
"timestamp": "04/24/2022 22:06:43",
"content": "we can find ac using fc = fg",
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"id": 967969907012694000,
"author_id": 858757612643024900,
"author_name": "doggy",
"timestamp": "04/24/2022 22:06:49",
"content": "then use ac = v^2/r",
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},
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"id": 967969927745142900,
"author_id": 858757612643024900,
"author_name": "doggy",
"timestamp": "04/24/2022 22:06:54",
"content": "but i dont get the same answer",
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"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/24/2022 22:07:57",
"content": "how so",
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"author_id": 858757612643024900,
"author_name": "doggy",
"timestamp": "04/24/2022 22:08:39",
"content": "M*a=GM1M2/r^2",
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"timestamp": "04/24/2022 22:08:45",
"content": "m1 can cancel out",
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"id": 967970432454127600,
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"timestamp": "04/24/2022 22:08:55",
"content": "so its just a=gM2/r^2",
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"timestamp": "04/24/2022 22:11:34",
"content": "is that not true?",
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"timestamp": "04/24/2022 22:19:45",
"content": "@Helpers",
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"content": "@doggy Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "04/24/2022 22:44:10",
"content": ".close",
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}
] |
help-9
|
40605d4fed0948429189ca2768f9e1a3
|
199,559 |
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help-9
|
bb9f3766ecd74cf0aa0dcde2691d4a0f
|
199,560 |
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"content": "ASSESSMENT:\r\nJohn work in a factory producing face mask, face shield and other protective gears against covid-19. Due to the pandemic caused by the disease Covid-19, the demand for protective gears went high. His supervisor told him to make 300 face masks every two hours.\r\n\r\r\nMake a data (table of values) showing the number of hours John worked and the number of face masks he produced within 12 hours.",
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help-9
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05953bd0e802441ca2f6bdff6c6fdc32
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"id": 967994477677535200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 23:44:27",
"content": "Available help channel!",
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"id": 967994829650935800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/24/2022 23:45:51",
"content": "Hey guys",
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"id": 967994831450296400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/24/2022 23:45:52",
"content": "Pinned a message.",
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"id": 967994981908377600,
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"author_name": "dldh06",
"timestamp": "04/24/2022 23:46:28",
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"author_name": "Lex1729",
"timestamp": "04/24/2022 23:46:49",
"content": "Really don’t understand how to solve these type problems",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/24/2022 23:47:03",
"content": "How would I approach this question?",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/24/2022 23:49:13",
"content": "Get all the terms with b on one side, everything else on the other",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/24/2022 23:53:00",
"content": "Yes but how would I make the fractions into a form like this",
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"author_name": "Lex1729",
"timestamp": "04/24/2022 23:53:16",
"content": "I’m used to doing problems like this. However in the fraction form I’m not sure",
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"id": 967996862969827300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/24/2022 23:53:56",
"content": "change it to be base 10",
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"id": 967996981999972400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/24/2022 23:54:25",
"content": "for example, $\\frac 3 5 = \\frac{ 6 }{ 10 } = 0.6$",
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"id": 967997044084056000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/24/2022 23:54:39",
"content": "**jan Niku (join us for @pomo)**",
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"timestamp": "04/24/2022 23:54:56",
"content": "?",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/24/2022 23:55:11",
"content": "the 10 in the bottom tells you how to move the decimal",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/24/2022 23:55:45",
"content": "So for this what would I do?",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/24/2022 23:56:13",
"content": "isolate",
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"author_name": "Lex1729",
"timestamp": "04/24/2022 23:57:03",
"content": "And how do I convert the -2/5 and -7/5 to fit into the normal form?",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/25/2022 00:00:12",
"content": "you dont need to",
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"author_name": "jan Niku",
"timestamp": "04/25/2022 00:00:17",
"content": "but if you want to",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/25/2022 00:00:18",
"content": "make them over 10",
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"id": 967999105181814800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/25/2022 00:02:51",
"content": "So -2/5 will be -0.4?",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "04/25/2022 00:04:08",
"content": "Because I know if all of them are fractions I can multiply each side by lowest common multiple of each.",
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"id": 967999503124795400,
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:04:26",
"content": "However I don’t know how to do it in this form when they are mixed together",
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"author_name": "jan Niku",
"timestamp": "04/25/2022 00:04:55",
"content": "yes",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:07:50",
"content": "Oh ok thanks",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:08:53",
"content": "And for these type questions?",
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"timestamp": "04/25/2022 00:09:19",
"content": "Would I be able to use the same base 10 method for this?",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:19:16",
"content": "Would I be able to double the 1/2 denominator and numerator and convert to get the equivalent whole number,",
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"author_id": 270606727907508220,
"author_name": "mvoiddd",
"timestamp": "04/25/2022 00:20:32",
"content": "you can do whatever you want to the equation as long as it occurs on both sides",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:24:22",
"content": "So for this would It work if do 0.75s instead of 3/4s",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:28:46",
"content": "It's easy with 3/4",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:29:27",
"content": "Just take subtract 2 from both RHS and LHS",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:29:55",
"content": "Than subract 3s/4 from LHS and RHS",
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"timestamp": "04/25/2022 00:31:38",
"content": "Do you mean subtract 3/4s from both sides?",
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"timestamp": "04/25/2022 00:32:28",
"content": "(3/4)s",
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"timestamp": "04/25/2022 00:32:48",
"content": "Oh ok hold on I’ll try that",
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"id": 968007082295058400,
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"timestamp": "04/25/2022 00:34:33",
"content": "👍",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:34:49",
"content": "I got S = -4 is this correct?",
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"timestamp": "04/25/2022 00:37:07",
"content": "How did you got s = -4",
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"timestamp": "04/25/2022 00:37:09",
"content": "?",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:37:17",
"content": "Show me what you have done",
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"timestamp": "04/25/2022 00:39:33",
"content": "Sorry -4 is correct",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:39:42",
"content": "My bad I got it wrong....your answer is absolutely correct",
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"timestamp": "04/25/2022 00:40:09",
"content": ".",
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"timestamp": "04/25/2022 00:40:17",
"content": "Oh ok",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:40:46",
"content": "Keep things in fraction .... No need to convert them to decimal ...cause it's easy to evaluate using fractions",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:41:42",
"content": "yeah I just do that because I’m used to doing these type problems it helps with familiarity for me.",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:42:15",
"content": "Yeah up to you👍 😃",
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"timestamp": "04/25/2022 00:46:20",
"content": "Also one more thing",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:46:46",
"content": "I’m doing this problem currently not sure how to progress, I’m stuck at this point.",
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"timestamp": "04/25/2022 00:47:02",
"content": "I’ve left it in fractions like you suggested",
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"author_name": "Samarth",
"timestamp": "04/25/2022 00:51:14",
"content": "Take it simply just bring all the terms with \"p\" or any other symbols on One side (RHS or LHS) and than take all the constant terms on Other side.l",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:51:54",
"content": "Yes I’ve done that, how should I proceed now to isolate the p?",
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"author_name": "Lex1729",
"timestamp": "04/25/2022 00:52:18",
"content": "Divide by -11/3?",
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"timestamp": "04/25/2022 00:52:29",
"content": "Like In this question you need to take constant terms \"16\" and \"5\" on LHS and and all variable term 3p and 2/3p on RHS",
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"timestamp": "04/25/2022 00:52:46",
"content": "Look",
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"timestamp": "04/25/2022 00:52:54",
"content": "I will show you wait",
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"timestamp": "04/25/2022 00:53:23",
"content": "Oh I’m always used to bringing the variables like p terms on the left side that’s how I usually do it.",
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"timestamp": "04/25/2022 00:54:44",
"content": "You bring it either to LHS or RHS",
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"timestamp": "04/25/2022 00:56:05",
"content": "Where did you get the 3p from on the second one?",
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"timestamp": "04/25/2022 00:59:20",
"content": "From LHS",
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"author_name": "Samarth",
"timestamp": "04/25/2022 01:00:36",
"content": "There is \"-3p\" at LHS , when we bring \"-3p\" to RHS it became \"+3p\"....",
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"timestamp": "04/25/2022 01:00:48",
"content": "It's like adding 3p on both sides",
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"timestamp": "04/25/2022 01:01:09",
"content": ".",
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{
"id": 968014071460945900,
"author_id": 643741115501117400,
"author_name": "Samarth",
"timestamp": "04/25/2022 01:02:19",
"content": "To put simply sign of the value changes when you change its sides.",
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"id": 968014280404377700,
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"author_name": "Samarth",
"timestamp": "04/25/2022 01:03:09",
"content": "That is if you bring a negative value from one side to other it became positive.... similarly if you take positive value from one side to other it became negative",
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},
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"id": 968016279002812400,
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"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 01:11:05",
"content": "@Lex1729 Has your question been resolved?",
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"timestamp": "04/25/2022 01:26:05",
"content": "Channel closed",
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}
] |
help-9
|
ca57215a062f4bdeae8a1cbd4e7ddd53
|
199,562 |
[
{
"id": 968020306721656800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 01:27:06",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 968023668355629200,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:40:27",
"content": "Hiiiii I was just wondering if you could help with this problem. “Prove that if every point on a straight line (remember that a straight line has infinitely many points) is coloured by either a blue or red dot, then there will always be three equally-spaced points on that line that have the same colour.” I tried drawing a tree diagram to show every possible outcome but I was wondering if there was a quicker and more mathematical way of proving this. Thank you!",
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},
{
"id": 968023669664284700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 01:40:27",
"content": "Pinned a message.",
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{
"id": 968024883709739000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:45:17",
"content": "Consider the trivial case",
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},
{
"id": 968024907688579100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:45:23",
"content": "All points are red",
"attachments": [],
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},
{
"id": 968025066875023400,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:46:00",
"content": "That would make the first three points equally spaced already right? Since all the points are red?",
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},
{
"id": 968025434438664300,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:47:28",
"content": "But what about every other possibility that there could be? How do I prove this?",
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},
{
"id": 968026015114854400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:49:47",
"content": "There exists a bijection between R and (a,b) for any reals a and b",
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},
{
"id": 968026262058704900,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:50:45",
"content": "What is a bijection?",
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},
{
"id": 968026338764157000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:51:04",
"content": "Ok let's not go that route then",
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},
{
"id": 968026413703782400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:51:22",
"content": "That's the higher level math it's asking you but it's phrased in a very simple way",
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},
{
"id": 968026455076372500,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:51:31",
"content": "Ohhh",
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},
{
"id": 968026496801312800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:51:41",
"content": "It's easy to ask tough questions in simple ways",
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},
{
"id": 968026601453396000,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:52:06",
"content": "I see, I heard it’s a yr7 question….",
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},
{
"id": 968026728943484900,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:52:37",
"content": "How should I approach it then?",
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},
{
"id": 968026890839408600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:53:15",
"content": "If the line is completely red then it's easy to find the three points that are equally spaced",
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},
{
"id": 968026935299035100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:53:26",
"content": "What if the line was only red on the interval (0,1)?",
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},
{
"id": 968027258373697500,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:54:43",
"content": "But if the line was only red in one points, the rest of the line would be blue then? Like BBBBRBBBBBBBBBBBBB … so there would be three equally spaced points with the blue colour then?",
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},
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"id": 968027317463031900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:54:57",
"content": "Yes",
"attachments": [],
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},
{
"id": 968027421536317400,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:55:22",
"content": "So I’m not sure how to prove that this would always work for every single outcome that could possibly happen",
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},
{
"id": 968027520706416600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:55:46",
"content": "So 3 cases:\nLine is entirely red over some interval\nLine is entirely blue over some interval\nRed and Blue alternate",
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"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:56:36",
"content": "I see, but it doesn’t have to alternate evenly either? So it could be RBBRRBRB etc….",
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},
{
"id": 968027802957938700,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:56:53",
"content": "Which makes many solutions possible…....",
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},
{
"id": 968027924886327300,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 01:57:22",
"content": "The tree diagram I drew is very long and I’m not sure if there is a better way to approach this",
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},
{
"id": 968028392169570300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:59:13",
"content": "If it doesn't alternate evenly",
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},
{
"id": 968028455482568700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:59:28",
"content": "Then there is an interval over which the line is entirely red or entirely blue",
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},
{
"id": 968028493042552800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 01:59:37",
"content": "Which means it's one of the first two cases",
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},
{
"id": 968028920328888300,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:01:19",
"content": "Oh",
"attachments": [],
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},
{
"id": 968029550384660500,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:03:49",
"content": "Umm how should I set out my working out then?",
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},
{
"id": 968030632418627600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:08:07",
"content": "First state that if the line is entirely red or entirely blue over some interval (a,b) then you can find the 3 equally spaced points",
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},
{
"id": 968030858340622300,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:09:01",
"content": "Ohhh and then I discuss the alternating colours case in the form of a worded paragraph?",
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},
{
"id": 968030959771476000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:09:25",
"content": "Yep",
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},
{
"id": 968030982500384800,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:09:31",
"content": "I see",
"attachments": [],
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},
{
"id": 968031082068967400,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:09:55",
"content": "Alsoooooooooooooo, what’s a bijection?",
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},
{
"id": 968031312877330400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:10:50",
"content": "You'll learn that later",
"attachments": [],
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},
{
"id": 968031362860851200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:11:02",
"content": "Do you know what R is?",
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},
{
"id": 968031413683224600,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:11:14",
"content": "Yup, real number",
"attachments": [],
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},
{
"id": 968031474311901200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:11:28",
"content": "Do you know what a function is",
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},
{
"id": 968031696672927700,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:12:21",
"content": "Yup, i have no idea show to explain though 😂 but I learned about it",
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},
{
"id": 968031754747281400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:12:35",
"content": "You're not ready",
"attachments": [],
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},
{
"id": 968031789337702400,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:12:43",
"content": "The the graphs with the x and y values",
"attachments": [],
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},
{
"id": 968031798997176300,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:12:46",
"content": "Oh",
"attachments": [],
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},
{
"id": 968031827510034400,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:12:52",
"content": "When do we start learning it?",
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},
{
"id": 968031875618721800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:13:04",
"content": "Maybe in high school",
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},
{
"id": 968031906165829600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:13:11",
"content": "It depends though",
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},
{
"id": 968031945407742000,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:13:20",
"content": "I see",
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},
{
"id": 968032201319010300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:14:21",
"content": "",
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"id": 968032365794447400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:15:01",
"content": "Try to wrap your head around this",
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},
{
"id": 968032709173715000,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:16:23",
"content": "Soooooooo bijective is a one to one function?",
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},
{
"id": 968032735585259600,
"author_id": 551269104800104450,
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"timestamp": "04/25/2022 02:16:29",
"content": "Yes",
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},
{
"id": 968032780170698800,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:16:39",
"content": "I see",
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},
{
"id": 968033457122988000,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:19:21",
"content": "So an injective must always have at least one value for A and surjective must always have one value for B?",
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},
{
"id": 968033508033429500,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:19:33",
"content": "Is A representing the x and B for the y?",
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},
{
"id": 968033766431920100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:20:35",
"content": "Injective means that for every y, there is at most one x",
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},
{
"id": 968033844915753000,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:20:53",
"content": "Ohhhhhhhhhhhh I see",
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},
{
"id": 968034212311609300,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:22:21",
"content": "And surjective is for every y, there is at least one x?",
"attachments": [],
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},
{
"id": 968034843550175200,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:24:51",
"content": "Does that mean every one to one function is bijective?",
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},
{
"id": 968034890773856300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/25/2022 02:25:03",
"content": "Yeah",
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},
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"id": 968035076615069700,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:25:47",
"content": "I seee",
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},
{
"id": 968035144948650000,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:26:03",
"content": "Well thank you for your help!",
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},
{
"id": 968035253140729900,
"author_id": 759926709297742000,
"author_name": "ChocoJuice",
"timestamp": "04/25/2022 02:26:29",
"content": ".close",
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},
{
"id": 968035254738755600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 02:26:29",
"content": "Channel closed",
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}
] |
help-9
|
bd5fd41dd44f43acb0b8d9bbfddc53a1
|
199,563 |
[
{
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"timestamp": "04/25/2022 02:27:30",
"content": "Available help channel!",
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},
{
"id": 968035716573581300,
"author_id": 726840572496576500,
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"timestamp": "04/25/2022 02:28:20",
"content": "Pinned a message.",
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{
"id": 968039323729555500,
"author_id": 748010973826121900,
"author_name": "ViB",
"timestamp": "04/25/2022 02:42:40",
"content": "what is D? like whats it represent",
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},
{
"id": 968039549295005700,
"author_id": 689502083371892900,
"author_name": "obitobi",
"timestamp": "04/25/2022 02:43:33",
"content": "that's the part he's confused about",
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{
"id": 968039623785873400,
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"timestamp": "04/25/2022 02:43:51",
"content": "it doesn't even mention a D or anything",
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"timestamp": "04/25/2022 02:48:51",
"content": "@hael Has your question been resolved?",
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"author_name": "hael",
"timestamp": "04/25/2022 02:50:17",
"content": "ye",
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},
{
"id": 968048792450510800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 03:20:17",
"content": "@hael Has your question been resolved?",
"attachments": [],
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"name": "hael",
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"timestamp": "04/25/2022 03:50:17",
"content": "Channel closed",
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}
] |
help-9
|
6def102715554cfabf4705b590ff373c
|
199,564 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 03:51:17",
"content": "Available help channel!",
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},
{
"id": 968059891270959100,
"author_id": 780105668261707800,
"author_name": "tofu",
"timestamp": "04/25/2022 04:04:23",
"content": "what's the difference of n-1 and N-1 in the degree of freedom",
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},
{
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"timestamp": "04/25/2022 04:04:24",
"content": "Pinned a message.",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 04:19:23",
"content": "@tofu Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "tofu",
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"id": 968065071546789900,
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"timestamp": "04/25/2022 04:24:58",
"content": ".close",
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},
{
"id": 968065073115451400,
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"author_name": "Mathematics Bot",
"timestamp": "04/25/2022 04:24:59",
"content": "Channel closed",
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}
] |
help-9
|
5ee8142ddf0a4a6eaae057de24b6f0ce
|
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