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201,165 | [
{
"id": 1036680548736847900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 12:38:23",
"content": "Available help channel!",
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{
"id": 1036680837091045500,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "10/31/2022 12:39:32",
"content": "Doesn't this solution assume that the $G_i$ are disjoint? I don't see why we can make this assumption.",
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 12:39:32",
"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "10/31/2022 12:39:35",
"content": "**CoffeeMan**",
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 12:54:32",
"content": "@CoffeeMan Has your question been resolved?",
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"timestamp": "10/31/2022 12:54:40",
"content": "Channel closed",
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] | help-9 | 46940c61cd664a9090faf71c7673041e |
201,166 | [
{
"id": 1069737556566102000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 16:55:08",
"content": "Available help channel!",
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},
{
"id": 1069738799665528800,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:00:04",
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"id": 1069738802073055200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:00:05",
"content": "Pinned a message.",
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"id": 1069738830862753900,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:00:12",
"content": "Could I get help with iiib?",
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{
"id": 1069738876417097900,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:00:22",
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"id": 1069738894700064800,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:00:27",
"content": "Here is what I’ve done",
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{
"id": 1069739053764841600,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:01:05",
"content": "The mark scheme says to use a t distribution, but we haven’t learned that at school",
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{
"id": 1069739114448048100,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:01:19",
"content": "I’m not sure if my teacher accidentally put this in the homework or if there is another way to solve it",
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},
{
"id": 1069739176750235600,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:01:34",
"content": "Either way, it would be cool to learn how to do it with or without t distribution 🙂",
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{
"id": 1069739704804712600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:03:40",
"content": "Both i) and iii) b) should be using a t-test",
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"id": 1069739967682719900,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:04:43",
"content": "Oh gg",
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"id": 1069739987786027100,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:04:47",
"content": "Mind explaining how that works?",
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{
"id": 1069740471070494800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:06:43",
"content": "We use a t-dist instead of using a normal dist because we are using sample sd instead of true sd which adds uncertainty",
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"id": 1069740562988675200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:07:05",
"content": "Using t-dist accounts for this",
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{
"id": 1069740770464104400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:07:54",
"content": "t-dist has a degrees of freedoms as a parameter which is n-1 in i)",
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"id": 1069740978631606300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:08:44",
"content": "Depending if you assume equal or unequal variance in iii) df changes",
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{
"id": 1069741838338113700,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:12:09",
"content": "So in iiib which variance would you use? Also both samples have different values for n",
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{
"id": 1069741900317339600,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:12:23",
"content": "Would you take the weighted mean of their variance?",
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{
"id": 1069742132409139300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:13:19",
"content": "Many intro courses tests if the two variances are equal then pick according to outcome of that test",
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{
"id": 1069742228358049800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:13:42",
"content": "(Note this isn’t recommend to actually do in practice because of issues of multiple testing)",
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"id": 1069742366048665600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/30/2023 17:14:14",
"content": "So I would guess your course does the same (can’t be sure tho)",
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"id": 1069742534202507300,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:14:55",
"content": "Cool well thanks a lot for the help",
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{
"id": 1069742563042545700,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:15:01",
"content": "I’m going to ask my teacher more about it tomorrow",
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{
"id": 1069742588409680000,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:15:07",
"content": "Have a nice night",
"attachments": [],
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},
{
"id": 1069742599642038300,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "01/30/2023 17:15:10",
"content": ".close",
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{
"id": 1069742602368335900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:15:11",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | c9a20167a56648bb961a257970ebc6fc |
201,167 | [
{
"id": 1069742854416634000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:16:11",
"content": "Available help channel!",
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},
{
"id": 1069743629830213600,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:19:16",
"content": "",
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"id": 1069743632409702400,
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:19:16",
"content": "Pinned a message.",
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"id": 1069743654207508500,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:19:22",
"content": "I'm not sure how to prove this",
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{
"id": 1069743682800074800,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:19:28",
"content": "it says to use these 2 theoresm",
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"id": 1069743690513387500,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:19:30",
"content": "*theoresm",
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"author_name": "Cryptarch",
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"id": 1069743833170059300,
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"author_name": "riemann",
"timestamp": "01/30/2023 17:20:04",
"content": "compute each mod 2",
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"id": 1069743906859782100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 17:20:22",
"content": "9 = -1 mod 2",
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"id": 1069743993203732600,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:20:42",
"content": "how does this work?",
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"id": 1069744067359019100,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:21:00",
"content": "I didnt understand how you can use that to compute the mod of a large exponent",
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"id": 1069744131015987300,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:21:15",
"content": "9 = 1 (mod2) right. now use the second theorum",
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"id": 1069744141174591600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 17:21:18",
"content": "9 = 4 * 2 + 1",
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"id": 1069744235517059200,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:21:40",
"content": "oh",
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"id": 1069744240390852700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 17:21:41",
"content": "this can be made simpler",
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"id": 1069744249500876900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 17:21:43",
"content": "9 = 1 mod 2",
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"id": 1069744268773707900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 17:21:48",
"content": "don't know why i suggested -1 first",
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"id": 1069744424306876400,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:22:25",
"content": "so then I can say 9^569347 = 1^569347 (mod 2)",
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"id": 1069744434704564400,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:22:28",
"content": "from theorem 2",
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"id": 1069744563687805000,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:22:58",
"content": "which is still the same as 9^569347 = 1 (mod 2)",
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"id": 1069744786917044400,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:23:52",
"content": "Which implies that 9^569347 is an odd number and the second number is odd from inspection",
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"id": 1069744813576028300,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:23:58",
"content": "and the sum of 2 odd numbers is even",
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"id": 1069744871889440900,
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:24:12",
"content": "is that correct? or did I assume too much",
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"author_name": "utrebsto",
"timestamp": "01/30/2023 17:24:42",
"content": "dont use the concept of parity",
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"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:24:53",
"content": "ok now we have the fact that a = 1 mod 2",
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"id": 1069745057869074400,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:24:56",
"content": "and b = 1 mod 2",
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"id": 1069745111505830000,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:25:09",
"content": "how do we calculate (a+b) mod m ?",
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"id": 1069745121236635800,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:25:11",
"content": "use theorum 1",
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"id": 1069745170230296600,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:25:23",
"content": "its (a mod m + b mod m) mod m",
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"id": 1069745198902546600,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:25:30",
"content": "(1+1) mod 2",
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},
{
"id": 1069745206519406700,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:25:32",
"content": "= 0",
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{
"id": 1069745223711850600,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:25:36",
"content": "given number is even",
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"id": 1069745415953588400,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:26:22",
"content": "is that not allowed",
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"id": 1069745452414668900,
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"author_name": "utrebsto",
"timestamp": "01/30/2023 17:26:30",
"content": "it is allowed",
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"id": 1069745558622842900,
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"author_name": "utrebsto",
"timestamp": "01/30/2023 17:26:56",
"content": "ofc lol but if you are to use those two theorems best to do it this way using them right",
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"id": 1069745636968251500,
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"author_name": "utrebsto",
"timestamp": "01/30/2023 17:27:14",
"content": "and anyways using modular arithmetic makes it more general compared to parity",
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"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:27:15",
"content": "I see",
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"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:27:19",
"content": "Ok",
"attachments": [],
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},
{
"id": 1069745744749285500,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:27:40",
"content": "a and b are refering to the first and second elements of the sum right",
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{
"id": 1069745778576334800,
"author_id": 467709408500121600,
"author_name": "utrebsto",
"timestamp": "01/30/2023 17:27:48",
"content": "yes sir",
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},
{
"id": 1069745886348984300,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "01/30/2023 17:28:14",
"content": "hmm ok ty",
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},
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"id": 1069749663248429200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:43:14",
"content": "@Cryptarch Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:50:43",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 9c7d5d1626a741fa805ce168dcb80560 |
201,168 | [
{
"id": 1069751802125361300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:51:44",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1069752447465160700,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:54:18",
"content": "hey",
"attachments": [],
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"reference": null
},
{
"id": 1069752450002722800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 17:54:19",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1069752447465160700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1069752462849872000,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:54:22",
"content": "",
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{
"id": 1069752528104853500,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:54:37",
"content": "how would you get the quadratic function of this?",
"attachments": [],
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},
{
"id": 1069753649871454300,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:59:05",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1069753661766521000,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:59:08",
"content": "sorry",
"attachments": [],
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"reference": null
},
{
"id": 1069753701062950900,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:59:17",
"content": "i dont know if im allowed to do that",
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},
{
"id": 1069753785532039200,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 17:59:37",
"content": "I apologize in advance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069754686816649200,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/30/2023 18:03:12",
"content": "ax^2 + bx + c",
"attachments": [],
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{
"id": 1069754715476349000,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/30/2023 18:03:19",
"content": "y intercept is (0,c)",
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},
{
"id": 1069754751752884400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/30/2023 18:03:27",
"content": "hence c = ...",
"attachments": [],
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},
{
"id": 1069754893570678900,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/30/2023 18:04:01",
"content": "now u can plug two points to solve for a and b",
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},
{
"id": 1069755182457565200,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 18:05:10",
"content": "ohhhhhhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069755194348404900,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 18:05:13",
"content": "makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069755208869093500,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 18:05:16",
"content": "im so stupid",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069755307120676900,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 18:05:40",
"content": "wait acc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069755338032697300,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 18:05:47",
"content": "so i subbed in -2,0",
"attachments": [],
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},
{
"id": 1069755365006250100,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 18:05:54",
"content": "what do u put in for c",
"attachments": [],
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},
{
"id": 1069759141284958300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 18:20:54",
"content": "@TopG_Arnie Has your question been resolved?",
"attachments": [],
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{
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{
"id": 1069766727958798500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 18:51:03",
"content": "@TopG_Arnie Has your question been resolved?",
"attachments": [],
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{
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"name": "TopG_Arnie",
"discriminator": "9159",
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],
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},
{
"id": 1069772962930106500,
"author_id": 496075446555770900,
"author_name": "BigBoyz",
"timestamp": "01/30/2023 19:15:49",
"content": "So one equation we can use to solve this is \nax^2 + bx + c = y",
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},
{
"id": 1069773042823217200,
"author_id": 496075446555770900,
"author_name": "BigBoyz",
"timestamp": "01/30/2023 19:16:08",
"content": "subbing the given values we get",
"attachments": [],
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},
{
"id": 1069773211304218800,
"author_id": 496075446555770900,
"author_name": "BigBoyz",
"timestamp": "01/30/2023 19:16:49",
"content": "c = 8",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069773305546018800,
"author_id": 496075446555770900,
"author_name": "BigBoyz",
"timestamp": "01/30/2023 19:17:11",
"content": "a(4) + b(-2) = 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069773366690582500,
"author_id": 496075446555770900,
"author_name": "BigBoyz",
"timestamp": "01/30/2023 19:17:26",
"content": "a(9) + b(3) = 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069773444381679600,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 19:17:44",
"content": "i got it thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069773453063901300,
"author_id": 1069726431887753200,
"author_name": "TopG_Arnie",
"timestamp": "01/30/2023 19:17:46",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1069773455957971100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 19:17:47",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 1b6f92ae2832480b8d6fc3fc41a63c3e |
201,169 | [
{
"id": 1069773707939164300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 19:18:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069774238250188900,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:20:53",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069774238074019940/boom.png",
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{
"id": 1069774241291063300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 19:20:54",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1069774317463806100,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:21:12",
"content": "Find XY in parallelogram VWXY",
"attachments": [],
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"reference": null
},
{
"id": 1069774486561366000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/30/2023 19:21:53",
"content": "opposite sides are equal",
"attachments": [],
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},
{
"id": 1069774616932925400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/30/2023 19:22:24",
"content": "set wx and vy to be equal",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069774731785539600,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:22:51",
"content": "so you do",
"attachments": [],
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"reference": null
},
{
"id": 1069774748151709800,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:22:55",
"content": "2c = 3c-22",
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"reference": null
},
{
"id": 1069774763226046500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "01/30/2023 19:22:59",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069774784902201300,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:23:04",
"content": "and you work out c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069774810323890200,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:23:10",
"content": "@FaKe_LiFe",
"attachments": [],
"mentions": [
{
"id": 853425941123694600,
"name": "FaKe_LiFe",
"discriminator": "5265",
"nickname": "FaKe_LiFe",
"isBot": false
}
],
"reference": null
},
{
"id": 1069774830687223800,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:23:15",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069774935066681300,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:23:39",
"content": "c=22",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069774973029318800,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:23:49",
"content": "from 2c = 3c-22 then what?",
"attachments": [],
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"reference": null
},
{
"id": 1069774996869742600,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:23:54",
"content": "then do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775018617221100,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:23:59",
"content": "4(22)-66",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775060983877600,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:24:09",
"content": "and you got your answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775126125617300,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:24:25",
"content": "so its 22?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775219817975800,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:24:47",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775249131962500,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:24:54",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775261702303700,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:24:57",
"content": "np",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775384083710000,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:25:27",
"content": "can i get help wit another one or do i have to make a new channel?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775513331171500,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:25:57",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775516124577900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 19:25:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 0d403359520d41189314b330ac16d388 |
201,170 | [
{
"id": 1069775565164388400,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:26:10",
"content": ".reopen",
"attachments": [],
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"reference": null
},
{
"id": 1069775570939945000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 19:26:11",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775621351297200,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:26:23",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1069775621112201336/boom2.png",
"fileName": "boom2.png",
"fileSizeBytes": 8551
}
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},
{
"id": 1069775674933530600,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:26:36",
"content": "so do i set 2b-43=2b-97?",
"attachments": [],
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},
{
"id": 1069775810732507100,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:27:08",
"content": "nope",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775833209782300,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:27:14",
"content": "i add them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775854839804000,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:27:19",
"content": "then set it to 180",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775886112534700,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:27:26",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775919817961500,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:27:34",
"content": "2b-43 + 2b-97 =180",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069775930836394100,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:27:37",
"content": "then i get 80",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069776084490518500,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:28:14",
"content": "is there more or that it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069776145198878800,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:28:28",
"content": "i haven't seen a question like this for a while",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069776152702500900,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:28:30",
"content": "solve",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069776177289515000,
"author_id": 839916803627024400,
"author_name": "wraith",
"timestamp": "01/30/2023 19:28:36",
"content": "2b-43 +2b-97= 180",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069776281215979500,
"author_id": 853425941123694600,
"author_name": "FaKe_LiFe",
"timestamp": "01/30/2023 19:29:00",
"content": "b=80",
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"timestamp": "01/30/2023 19:29:01",
"content": "then once you got b substitute",
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"content": "so",
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"content": "2(80)-43",
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"timestamp": "01/30/2023 19:29:24",
"content": "why do u multiply by 2?",
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"timestamp": "01/30/2023 19:29:40",
"content": ".",
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"author_name": "wraith",
"timestamp": "01/30/2023 19:29:45",
"content": "wait are you looking for H?",
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"content": "yes",
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"content": "theres 2b",
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"content": "so",
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"timestamp": "01/30/2023 19:30:32",
"content": "if 80 is 1b",
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"timestamp": "01/30/2023 19:31:00",
"content": "then after i do that i get 117",
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"timestamp": "01/30/2023 19:31:33",
"content": "yay is right",
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"content": "yes",
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"content": "its basically just solving equations",
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"content": "but you need to know rules in an angle",
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"content": "all i need is 3 more",
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"timestamp": "01/30/2023 19:34:32",
"content": ".close",
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"timestamp": "01/30/2023 19:34:32",
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] | help-9 | 242cdf7ead0a4580a7542007161344cc |
201,171 | [
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] | help-9 | 227f2a9fb6b447d087abcdb14b330607 |
201,172 | [
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"content": "I've looked at the graph and it seems like it should approach 1, but there's always a 0 in the numerator or the denominator",
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"content": "I tried multiplying by expression by the denominator and multiplying by 1/x^4, but it doesn't seem to work",
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"content": "divite x^4+1 by x^4 see where that gets u",
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"content": "I tried something like that",
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"content": "I’m not sure where I went wrong here",
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"content": "oh u gotta divide the top by x^2 and the bottom by x^4",
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"content": "cuz its under a square root",
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"timestamp": "01/30/2023 20:05:55",
"content": "so youre dividing them both by x^2 its just the bottom is by x^4 cuz its under the ^1/2",
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"timestamp": "01/30/2023 20:06:52",
"content": "so u get 1/sqrt(1+1/x^4)",
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"timestamp": "01/30/2023 20:07:25",
"content": "So like this?",
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"content": "yes",
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"timestamp": "01/30/2023 20:07:36",
"content": "thats it",
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"timestamp": "01/30/2023 20:07:59",
"content": "as a general rule of thumb I heard you should divide by the largest term in the denominator",
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"content": "so if there’s a square root in the denominator, should you adjust for that?",
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"content": "yep",
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"content": "alright I’ll keep that in mind",
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"timestamp": "01/30/2023 20:09:00",
"content": "thanks for the help",
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"content": ".close",
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] | help-9 | c6917e4047fc4f2189b4d46c1f461ba8 |
201,173 | [
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"content": "this is what i got",
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"content": "@Hoesmad Has your question been resolved?",
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"content": "Plot the region to be rotated and the axis of rotation. It is then often helpful, in my experience, to shift everything so that he axis of origin is a coordinate axis so that the result gives the same volume and then to proceed as normal.",
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] | help-9 | 50d46df7d9974ee78bc9ee9364ebeb10 |
201,174 | [
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"content": "@kentuckycoins Has your question been resolved?",
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201,175 | [
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"author_name": "Nayan",
"timestamp": "01/30/2023 21:20:14",
"content": "im having some trouble with trig substitution",
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"timestamp": "01/30/2023 21:20:38",
"content": "So i keep ending up with the integral of tan^3(theta) x 2sec(theta)",
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"timestamp": "01/30/2023 21:21:04",
"content": "and i dont know what to do from there",
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"content": "@Nayan Has your question been resolved?",
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"author_name": "Nayan",
"timestamp": "01/30/2023 21:37:01",
"content": "@Helpers",
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"author_id": 759487903964856300,
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"timestamp": "01/30/2023 21:40:52",
"content": "hello?",
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"author_name": "Kings of Latin",
"timestamp": "01/30/2023 21:52:17",
"content": "i'm pretty sure the only way to solve this is with u sub, if you'd like to see what i have i'd be happy to share",
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"timestamp": "01/30/2023 22:02:04",
"content": "turn tan^2(theta) into sec^2(theta) - 1",
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"timestamp": "01/30/2023 22:02:25",
"content": "then sub u = sec(theta)",
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"timestamp": "01/30/2023 22:03:24",
"content": "I see you actually had that for a second, but it's hard to follow what you did after that",
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"timestamp": "01/30/2023 22:04:23",
"content": "Oh sorry thank you guys I did that now actually",
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"timestamp": "01/30/2023 22:04:34",
"content": "I was worried that I couldn’t u sub after a trig sub",
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"timestamp": "01/30/2023 22:05:03",
"content": "i will show u",
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"timestamp": "01/30/2023 22:05:03",
"content": "And that was why I wasn’t getting the textbook answer",
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"timestamp": "01/30/2023 22:05:16",
"content": "I’m fine now I got the final answer",
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"timestamp": "01/30/2023 22:05:21",
"content": "Oh yeah, for sure, you can make whatever substitutions you want",
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"timestamp": "01/30/2023 22:06:33",
"content": "Yeah I forgot that I had an 8 outside the integral and I also miswrote some trig identities earlier so it was driving me crazy that I couldn’t get the right answer but I just fixated too hard on different parts of the problem",
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"timestamp": "01/30/2023 22:06:44",
"content": "Thanks a lot though",
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"timestamp": "01/30/2023 22:09:03",
"content": "hopefully that helps",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 277dbbc34b5b41b8b829bf5a987f0b63 |
201,176 | [
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"timestamp": "10/21/2022 21:00:02",
"content": "Available help channel!",
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"content": "I attempted to do these but I am not 100% sure if I understand it. I know a set is countable if it has the same cardinality as Z+(positive integers). I got the following: a) Countably infinite b) Uncountable c) Countably infinite d) Uncountable",
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"timestamp": "10/21/2022 21:14:06",
"content": "seems right",
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"content": "Even part d?",
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"timestamp": "10/21/2022 21:22:21",
"content": "yeah. Assuming R+ is the positive reals",
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"timestamp": "10/21/2022 21:32:40",
"content": "alright!",
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"author_name": "Subik",
"timestamp": "10/21/2022 21:33:21",
"content": ".close",
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"timestamp": "10/21/2022 21:33:22",
"content": "Channel closed",
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] | help-9 | 5abd12f23e5a451e84a91bb83a5a0235 |
201,177 | [
{
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"author_name": "CoffeeMan",
"timestamp": "10/31/2022 12:54:45",
"content": ".reopen",
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"timestamp": "10/31/2022 12:54:47",
"content": "✅",
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"id": 1036685017188933800,
"author_id": 1014671992898715600,
"author_name": "Amer",
"timestamp": "10/31/2022 12:56:08",
"content": "are G_i subsets of the real numbers?",
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"timestamp": "10/31/2022 12:57:21",
"content": "sigma(g) is the smallest sigma algebra containing $g$ but $g$ as it is defined seems to be a one element am I missing something here ?",
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"timestamp": "10/31/2022 12:57:24",
"content": "**QuantumMath**",
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"author_name": "Amer",
"timestamp": "10/31/2022 12:58:20",
"content": "and g is defined as a sum of simple characteristic functions. Can you write what g is ?",
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"timestamp": "10/31/2022 12:58:57",
"content": "Sry I didn’t see you were equationing",
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"timestamp": "10/31/2022 12:58:58",
"content": "I’ll go",
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"timestamp": "10/31/2022 12:59:05",
"content": "No",
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"timestamp": "10/31/2022 12:59:29",
"content": "g is a function",
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"timestamp": "10/31/2022 13:00:14",
"content": "$\\sigma (g) := \\sigma \\left g^{-1} (\\mathscr{B} (\\mathbb{R}) \\right)$",
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"timestamp": "10/31/2022 13:00:16",
"content": "**CoffeeMan**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"timestamp": "10/31/2022 13:00:48",
"content": "ok let me think then",
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"timestamp": "10/31/2022 13:01:28",
"content": "I mean by the standard trick we can always go from a countable collection of sets to a countable collection of disjoint sets",
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"timestamp": "10/31/2022 13:01:48",
"content": "I tried that, but I couldn't get the values to carry over for all x too",
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"timestamp": "10/31/2022 13:02:26",
"content": "I assume doing this without disjoint sets is the same idea but just gets more complicated",
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"timestamp": "10/31/2022 13:02:55",
"content": "but yes strictly speaking it looks like they are assuming that the G_i are disjoint, yes",
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"timestamp": "10/31/2022 13:03:22",
"content": "Could you explain how one would go from disjoint to non disjoint though?",
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"timestamp": "10/31/2022 13:03:31",
"content": "I'm finding it difficult to see how it would carry over.",
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"author_name": "Amer",
"timestamp": "10/31/2022 13:04:03",
"content": "B1 = A1, B2 = A2-A1, B3=A3-A2-A1 and so on",
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"timestamp": "10/31/2022 13:04:41",
"content": "if Ai is a collection of measrable sets then Bi set of disjoin measurable",
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"timestamp": "10/31/2022 13:04:49",
"content": "Yes, but what values would you give for the ones in A1 e.g.?",
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"timestamp": "10/31/2022 13:05:00",
"content": "I mean B1",
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"timestamp": "10/31/2022 13:05:12",
"content": "is A1",
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"author_name": "CoffeeMan",
"timestamp": "10/31/2022 13:06:01",
"content": "Oh yeah",
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"author_name": "CoffeeMan",
"timestamp": "10/31/2022 13:06:11",
"content": "Shit",
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"author_name": "CoffeeMan",
"timestamp": "10/31/2022 13:06:26",
"content": "For some reason I couldn't get it to work",
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"timestamp": "10/31/2022 13:06:33",
"content": "but that looks right",
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"timestamp": "10/31/2022 13:06:54",
"content": "Ah",
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"timestamp": "10/31/2022 13:06:54",
"content": "wait",
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"timestamp": "10/31/2022 13:07:04",
"content": "How about if x is in A1 and A2 e.g.?",
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"timestamp": "10/31/2022 13:07:43",
"content": "then $g(x) = 3/4$ but x is only in B1, so in the new sum it would give value $1/2$, no?",
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"timestamp": "10/31/2022 13:07:47",
"content": "**CoffeeMan**",
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"timestamp": "10/31/2022 13:08:52",
"content": "it is my first time seeing the definition of sigma algebra for a function am still processing it, I get used to the definition that sigma algebra of collection of subsets",
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"timestamp": "10/31/2022 13:09:12",
"content": "I am still thinking why you want G_i to be disjoint",
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"timestamp": "10/31/2022 13:09:32",
"content": "otherwise G_i = {g=2^-i} is wrong",
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"timestamp": "10/31/2022 13:10:10",
"content": "we want to recover the sets G_i from g as preimages. which is much easier if the G_i are disjoint",
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"timestamp": "10/31/2022 13:15:58",
"content": "why do you need this?",
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"timestamp": "10/31/2022 13:16:27",
"content": "To conclude that $\\mathscr{G} \\subset \\Sigma$",
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"timestamp": "10/31/2022 13:16:30",
"content": "**CoffeeMan**",
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"timestamp": "10/31/2022 13:31:27",
"content": "@CoffeeMan Has your question been resolved?",
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"content": "I'll just assume they're disjoint and check back on it later.",
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"content": "Channel closed",
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}
] | help-9 | 11001f191e294fa1bb9931213bb5a0e7 |
201,178 | [
{
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"content": "can someone help me integrate this?",
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"author_name": "Lex1729",
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"content": "I was going to expand the brackets although the (x+3) is being squared",
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"content": "It's not too hard to expand tbh",
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"author_name": "Lex1729",
"timestamp": "01/30/2023 22:18:44",
"content": "but what do I do with the (^2)?",
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"timestamp": "01/30/2023 22:18:53",
"content": "in (x+3)",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/30/2023 22:19:01",
"content": "?",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:19:05",
"content": "do I have to expand that first",
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"author_name": "NEONPerseus",
"timestamp": "01/30/2023 22:19:19",
"content": "Yeah first use (a + b)^2",
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"author_name": "NEONPerseus",
"timestamp": "01/30/2023 22:19:28",
"content": "And then multiply every term with x^2",
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"id": 1069819205077188600,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:19:34",
"content": "oh ok",
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"author_name": "Lex1729",
"timestamp": "01/30/2023 22:20:44",
"content": "so like this?",
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"id": 1069819542127267800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:20:55",
"content": "x^2(x^2 + 9 + 6x)",
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"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:22:55",
"content": "yes",
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"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:23:36",
"content": "than distribute the x^2",
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"author_name": "Lex1729",
"timestamp": "01/30/2023 22:25:19",
"content": "ok I got x^4 + 9x^2 +6x^3",
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"id": 1069820821402550400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:26:00",
"content": "after integrating: (x^5/5) + (9x^3/3) + (6x^4/4)",
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"timestamp": "01/30/2023 22:26:16",
"content": "yes",
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"author_name": "Lex1729",
"timestamp": "01/30/2023 22:26:37",
"content": "now do I simplify?",
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"id": 1069821027900727400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:26:49",
"content": "or just leave it like that with +C",
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"id": 1069821345275334700,
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"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:28:05",
"content": "if u are entering it into a computer it shouldn't matter unless stated otherwise, but if u are handing in a paper i would see who ever ur teacher is and what they prefer",
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"timestamp": "01/30/2023 22:28:42",
"content": "yeah I think I am supposed to simplify",
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"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:29:21",
"content": "I would simplify than and than add c when u are finished",
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"timestamp": "01/30/2023 22:29:42",
"content": "ok so x^5/5 + 3x^3",
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"author_name": "Lex1729",
"timestamp": "01/30/2023 22:29:52",
"content": "do I simplify the 6x^4/4 part?",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:30:05",
"content": "like write it as 3/2x^4",
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"id": 1069822099235025000,
"author_id": 830084702727700500,
"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:31:04",
"content": "i would take factor out the 3 in 9x^3/3 and 2 in 6x^4/4",
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{
"id": 1069822181334323200,
"author_id": 830084702727700500,
"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:31:24",
"content": "than u should be able to factor out a x^3",
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"id": 1069822614647877600,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:33:07",
"content": "what do you mean?",
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"id": 1069822642271559700,
"author_id": 830084702727700500,
"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:33:14",
"content": "x^3(x^2/5+3+3x/2)",
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},
{
"id": 1069822759305224300,
"author_id": 830084702727700500,
"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:33:42",
"content": "i can send u a picture if u like",
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},
{
"id": 1069822833359867900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:33:59",
"content": "yeah that would be good, cause I don't really understand.",
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},
{
"id": 1069822870559146000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/30/2023 22:34:08",
"content": "I'm not the best at factoring out, etc.",
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},
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"author_name": "Kings of Latin",
"timestamp": "01/30/2023 22:41:13",
"content": "",
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"timestamp": "01/30/2023 22:41:24",
"content": "hopefully that helps",
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 22:49:09",
"content": "@Lex1729 Has your question been resolved?",
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"timestamp": "01/30/2023 23:04:09",
"content": "Channel closed",
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}
] | help-9 | 9def697cba6f4313b5fb2c8998f15934 |
201,179 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 23:25:43",
"content": "Available help channel!",
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},
{
"id": 1069837706265362400,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:33:05",
"content": "Limits",
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},
{
"id": 1069837708471582800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/30/2023 23:33:06",
"content": "Pinned a message.",
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"id": 1069837790583459800,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:33:25",
"content": "Limit as x approaches 0 of x^2(e^x) over tan^2(x)",
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"id": 1069837806878330900,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:33:29",
"content": "Actually impossible",
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},
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"id": 1069837919809978500,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:33:56",
"content": "I can get 1 by showing a page of work but I had this on a quiz and that is not how I remember teacher doing it",
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"id": 1069837963569152100,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:34:07",
"content": "But I obviously didn’t remember very well",
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"id": 1069838772943994900,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/30/2023 23:37:20",
"content": "Sounds like a standard l'hop tbh",
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"id": 1069838893043699700,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:37:48",
"content": "Impossible",
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},
{
"id": 1069839003928498300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 23:38:15",
"content": "Divide top and bottom by x^2",
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},
{
"id": 1069839031065661400,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:38:21",
"content": "What",
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},
{
"id": 1069839125101953000,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:38:44",
"content": "e^x",
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},
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"id": 1069839157888819200,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:38:51",
"content": "And tan^2x/x^2?",
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"timestamp": "01/30/2023 23:39:00",
"content": "0/0 okay",
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"id": 1069839228592209900,
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"author_name": "riemann",
"timestamp": "01/30/2023 23:39:08",
"content": "Nope",
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},
{
"id": 1069839300771975200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 23:39:25",
"content": "Neither of those approach 0 as x goes to 0",
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},
{
"id": 1069839350436745200,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:39:37",
"content": "What do you mean ?",
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},
{
"id": 1069839382376349700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/30/2023 23:39:45",
"content": ",calc e^0",
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},
{
"id": 1069839384209281200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/30/2023 23:39:45",
"content": "Result:\n```\n1\n```",
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},
{
"id": 1069839435094564900,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "01/30/2023 23:39:57",
"content": "think he's talking about the denom",
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},
{
"id": 1069839457878028300,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:40:03",
"content": "Yeah so why would I divide by x^2 in each term?",
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},
{
"id": 1069839526182260700,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:40:19",
"content": "Only point seems to do l’hos in denominator",
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},
{
"id": 1069839678301290500,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "01/30/2023 23:40:55",
"content": "you can just apply lhop immediately though?",
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},
{
"id": 1069839694180925400,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/30/2023 23:40:59",
"content": "I still don't see why a standard l'hop fails to work",
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},
{
"id": 1069839715001450500,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "01/30/2023 23:41:04",
"content": "^",
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},
{
"id": 1069839733678669800,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:41:09",
"content": "No because I get 2tanxsec^2x",
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},
{
"id": 1069839746039287800,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:41:12",
"content": "Which is also 0/0",
"attachments": [],
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},
{
"id": 1069839804386263200,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "01/30/2023 23:41:26",
"content": "then do lhop again",
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"reference": null
},
{
"id": 1069839809431994400,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:41:27",
"content": "Surley they don’t want me to take the derivative of that",
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},
{
"id": 1069839838313979900,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/30/2023 23:41:34",
"content": "Why not?",
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},
{
"id": 1069839874758283300,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/30/2023 23:41:42",
"content": "That's standard l'hop",
"attachments": [],
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},
{
"id": 1069839913912123400,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:41:52",
"content": "I’m going to get 0 again?",
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},
{
"id": 1069839975010549800,
"author_id": 395431378218516500,
"author_name": "NLRe Pop",
"timestamp": "01/30/2023 23:42:06",
"content": "Oh wait no",
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},
{
"id": 1069840047177728000,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/30/2023 23:42:23",
"content": "Though you can make your life easier by expressing as sines and cosines and moving the cosine up",
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"content": "Use tan(x)/x goes to 1 as x goes to 0",
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"content": "2/2/1",
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"content": "Or sin(x)/x and cos(x)",
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"content": "Bro is genius ?",
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"content": "Wait one second",
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"content": "@riemann i like your solution very much",
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"content": "Genius",
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"content": "Thats why hes gonna become a HAAS engineer before you do",
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"content": "Bro is gonna lift Kevin Magnussen to formula 1 world champion",
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] | help-9 | 9e9e735941454be48ff0d9f232a7dc5e |
201,180 | [
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"content": "(51x^(1167)-32x^(723)+47x^(370)+85x^(222)-44x^(123)+12)/(x+1) find the remainder",
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"content": "OHHH THANKS SO MUCH",
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] | help-9 | 4a5afca1362d49cb9e13b9c6b60a06ef |
201,181 | [
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"content": "nvm i solved it",
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"content": "🎉",
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"content": "all good lol",
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] | help-9 | 9bfbb482fd1c4c3ea8e9b03edf43aa30 |
201,182 | [
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"content": "Would this be a contradiction since the left hand side and the right hand side are not logically equivalent? Which makes the statement always false? I want to make sure I’m interpreting this correctly",
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"content": "It's only a contradiction if it's always false",
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"content": "Just saying that they're not logically equivalent does not mean it's a contradiction. If there are situations where it is true, then it's not a contradiction",
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"content": "Wouldn’t both sides need to have the same truth value because of biconditional? So if they don’t, then it’s always a contradiction?",
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"content": "I think I’m confusing myself",
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"content": "No, the biconditional can still be true for certain statements p and q, even if the two sides are not logically equivalent",
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"content": "For example, consider $p \\iff (p \\wedge q)$.",
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"content": "**tatpoj**",
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"content": "The two sides are not logically equivalent",
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"content": "However, this biconditional statement is true in the case that:\n\np = \"k is an odd prime\"\nq = \"k is a prime greater than 2\"",
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"content": "typo, sorry",
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"content": "So, the biconditional \"p iff (p and q)\" is not a contradiction in and of itself",
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"content": "Ah okay, I think I was confusing biconditional and logical equivalence then",
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"content": "Yeah, I think most people do at first lol",
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"timestamp": "01/31/2023 00:56:25",
"content": "In that case, I’m trying to figure out how I can construct a truth table from this",
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"content": "Try just making a truth table for the left side and the right side separately",
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"content": "It the two columns agree everywhere, it's a tautology",
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"content": "If they disagree everywhere, it's a contradiction",
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"content": "Otherwise, it's neither",
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"timestamp": "01/31/2023 00:58:51",
"content": "Okay, and for the right hand side, I can interpret that as: “If P is true, then Q is true, or P implies Q is a contradiction”?",
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"content": "$\\perp$ is always false",
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"timestamp": "01/31/2023 00:59:37",
"content": "**tatpoj**",
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"content": "So the right side is equivalent to $p \\Rightarrow q$",
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"timestamp": "01/31/2023 01:00:00",
"content": "**tatpoj**",
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"content": "because $a \\ \\vee \\perp \\ \\ \\equiv a$",
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"content": "**tatpoj**",
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"content": "oh yeah, I forgot about the identity law here. that makes sense",
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"timestamp": "01/31/2023 01:01:29",
"content": "okay I think I got it from here then. thanks for the help, I’ll reopen if I have any other questions",
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"content": "Awesome, no problem. Sounds good 👍",
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"content": ".close",
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] | help-9 | bf973287591b43a3b5707813ea2b048b |
201,183 | [
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"author_name": "BasuDev",
"timestamp": "01/31/2023 01:03:47",
"content": "Hi",
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"author_id": 805217272087838700,
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"timestamp": "01/31/2023 01:03:47",
"content": "Pinned a message.",
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"author_name": "BasuDev",
"timestamp": "01/31/2023 01:03:58",
"content": "```\nAmong some students, 80% passed the science exam, 15% failed in math, 75% passed in both the subject. 45 people failed both the examination. Find the total number of ppl who attended the examination.\n```",
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"author_id": 925042255427948500,
"author_name": "BasuDev",
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"content": "Well how am I suppose to do it?",
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"author_name": "BasuDev",
"timestamp": "01/31/2023 01:07:21",
"content": "It's a set theory question",
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"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/31/2023 01:09:28",
"content": "Maybe a venn diagram would help 🤔",
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "01/31/2023 01:11:06",
"content": "Well",
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"content": "Ok",
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"timestamp": "01/31/2023 01:11:09",
"content": "Let me see",
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"timestamp": "01/31/2023 01:20:28",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | ee6b32175a8e4a65b752c15fa891620a |
201,184 | [
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"content": "how would I go about dividing them with such large exponents?",
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"content": "the remainder when f(x) is divided by x-a is f(a)",
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"content": "sorry lol",
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"content": "yeah you just plugg in x=-1",
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] | help-9 | cd9772bba6e0493888c273aa48309539 |
201,185 | [
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"content": "pls help",
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"author_name": "Anagh",
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"content": "tan 45⁰ =?@Shah",
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"content": "X/5",
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"id": 1069874606447525900,
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"author_name": "Anagh",
"timestamp": "01/31/2023 01:59:43",
"content": "No",
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"content": "tan 45⁰ = 1",
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"author_name": "Anagh",
"timestamp": "01/31/2023 02:00:54",
"content": "Use this to find height and then again use tan 30⁰ to find x",
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"timestamp": "01/31/2023 02:01:12",
"content": "@Shah please name the figure and then send it will be easy to explain",
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"content": "no",
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"content": "tan is TOA",
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"timestamp": "01/31/2023 02:01:59",
"content": "opposite/adjacent",
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"timestamp": "01/31/2023 02:02:06",
"content": "Opposite is unknown",
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"author_name": "Shah",
"timestamp": "01/31/2023 02:02:07",
"content": "so x",
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"id": 1069875231012958200,
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"timestamp": "01/31/2023 02:02:12",
"content": "and adjacent is 5",
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"id": 1069875257558700200,
"author_id": 722128756851998700,
"author_name": "Anagh",
"timestamp": "01/31/2023 02:02:18",
"content": "Yes",
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"id": 1069875287245983700,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/31/2023 02:02:25",
"content": "Opposite is obviously 5 if that angle is 45 degree",
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"id": 1069875314236346400,
"author_id": 722128756851998700,
"author_name": "Anagh",
"timestamp": "01/31/2023 02:02:32",
"content": "But what is value of tan 45⁰",
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"timestamp": "01/31/2023 02:02:35",
"content": "?@Shah",
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"id": 1069875348629618700,
"author_id": 722128756851998700,
"author_name": "Anagh",
"timestamp": "01/31/2023 02:02:40",
"content": "Do you know this?",
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"id": 1069875392309112800,
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"timestamp": "01/31/2023 02:02:50",
"content": "No",
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"id": 1069875447158018000,
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"timestamp": "01/31/2023 02:03:03",
"content": "well",
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"author_name": "Anagh",
"timestamp": "01/31/2023 02:03:05",
"content": "In the figure x is different think take another variable for opposite",
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"id": 1069875462995718100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:03:07",
"content": "from the equation we get",
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"id": 1069875465877213300,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:03:08",
"content": "it is",
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{
"id": 1069875503831470100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:03:17",
"content": "ok",
"attachments": [],
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"id": 1069875517026742300,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:03:20",
"content": "just say y then",
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"id": 1069875518624768000,
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"author_name": "Ankit",
"timestamp": "01/31/2023 02:03:20",
"content": ":sully:",
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"id": 1069875602846404600,
"author_id": 722128756851998700,
"author_name": "Anagh",
"timestamp": "01/31/2023 02:03:41",
"content": "@Shah",
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"author_name": "Shah",
"timestamp": "01/31/2023 02:04:49",
"content": "1",
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"timestamp": "01/31/2023 02:05:03",
"content": "Y/5 = 1",
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"id": 1069875975501905900,
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"author_name": "Anagh",
"timestamp": "01/31/2023 02:05:09",
"content": "Then y = 5",
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"id": 1069875994653106200,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:05:14",
"content": "yea ik that",
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"id": 1069876018069901300,
"author_id": 722128756851998700,
"author_name": "Anagh",
"timestamp": "01/31/2023 02:05:20",
"content": "So opposite of 45⁰ = 5",
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"id": 1069876047996264400,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:05:27",
"content": "yes",
"attachments": [],
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},
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"id": 1069876153101336700,
"author_id": 722128756851998700,
"author_name": "Anagh",
"timestamp": "01/31/2023 02:05:52",
"content": "Now use tan 30⁰",
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"id": 1069876275700846600,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:06:21",
"content": "oh",
"attachments": [],
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{
"id": 1069876278552961000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:06:22",
"content": "ok",
"attachments": [],
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},
{
"id": 1069876343573073900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:06:37",
"content": "tan 30 = 5/5+x?",
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"id": 1069876368982151200,
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"author_name": "Anagh",
"timestamp": "01/31/2023 02:06:43",
"content": "Yes",
"attachments": [],
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},
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"id": 1069876411571126400,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:06:53",
"content": "ok how do we find the x",
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"id": 1069876434140676100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:06:59",
"content": "nvm this is basic",
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"id": 1069876444571897900,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:07:01",
"content": "OOOOWA",
"attachments": [],
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},
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"id": 1069876453715476600,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:07:03",
"content": "ok wait",
"attachments": [],
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},
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"id": 1069876568266113200,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:07:31",
"content": "x =",
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"id": 1069876625870688300,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:07:44",
"content": "(y/tan 30) - 5",
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"id": 1069876816828977200,
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"author_name": "Shah",
"timestamp": "01/31/2023 02:08:30",
"content": "ok thanks",
"attachments": [],
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},
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"id": 1069876822487093200,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "01/31/2023 02:08:31",
"content": "bye",
"attachments": [],
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | b51c428f111b4b679eca7b9db0456589 |
201,186 | [
{
"id": 1069877081640550400,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 02:09:33",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_name": "chewie",
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"content": "i thought this was an easy question but i'm struggling to manipulate the equation into a-1=at+t",
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"author_name": "Frosst",
"timestamp": "01/31/2023 02:14:35",
"content": "Do you know the half angle tan identity",
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"timestamp": "01/31/2023 02:16:08",
"content": "t=tan(x/2)",
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"id": 1069878774759428100,
"author_id": 899950503813840900,
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"timestamp": "01/31/2023 02:16:17",
"content": "sin(x)=2t/(1+t^2)",
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"author_name": "chewie",
"timestamp": "01/31/2023 02:16:28",
"content": "cos(x)=(1-t^2)/(1+t^2)",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:19:28",
"content": "im sorry",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:19:32",
"content": "i didn't put brackets",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:20:43",
"content": "i'm not a true mathematician",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:22:37",
"content": "Now do 1 over the other",
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"id": 1069880399410499600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:22:44",
"content": "For tan",
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{
"id": 1069880411771125900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:22:47",
"content": "And cancel",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:24:11",
"content": "do you mean sin(x)/cos(x)?",
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"timestamp": "01/31/2023 02:25:02",
"content": "Yes",
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"timestamp": "01/31/2023 02:25:42",
"content": "2t/(1-t^2)",
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},
{
"id": 1069881280960929800,
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"author_name": "chewie",
"timestamp": "01/31/2023 02:26:14",
"content": "now what",
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"id": 1069882023243685900,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:29:11",
"content": "@Helpers",
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},
{
"id": 1069882225887301600,
"author_id": 1030358837137526800,
"author_name": "Scrooge McDuck",
"timestamp": "01/31/2023 02:30:00",
"content": "!status",
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 02:30:00",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"id": 1069882233260888000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:30:01",
"content": "That’s t right?",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:30:20",
"content": "Put that on the right side of what you are trying to prove",
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"author_name": "chewie",
"timestamp": "01/31/2023 02:30:29",
"content": "no that's tan(x)",
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"timestamp": "01/31/2023 02:30:37",
"content": "t = tan(x/2)",
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"timestamp": "01/31/2023 02:30:48",
"content": "2",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:31:05",
"content": "What??",
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"id": 1069882557367332900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:31:19",
"content": "Look at this",
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"author_name": "chewie",
"timestamp": "01/31/2023 02:31:31",
"content": "how can t=2t/(1-t^2)",
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{
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:31:37",
"content": "We are rewriting tan(x/2) in terms of sin and cos",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:31:59",
"content": "sin(x)=2t/(1+t^2)",
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{
"id": 1069882771205537800,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:32:10",
"content": "cos(x)=(1-t^2)/(1+t^2)",
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},
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"id": 1069882818857029600,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:32:21",
"content": "these are tan(x/2) in terms of sin and cos",
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"id": 1069882893310107800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:32:39",
"content": "No these are cos(x) in terms of tan(x/2) lol",
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"id": 1069882981352751100,
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"author_name": "chewie",
"timestamp": "01/31/2023 02:33:00",
"content": "but how is 2t/(1-t^2)=t",
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"id": 1069883041499062300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:33:14",
"content": "They aren’t the same t",
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{
"id": 1069883072146845700,
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"author_name": "chewie",
"timestamp": "01/31/2023 02:33:21",
"content": "yes they are",
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"id": 1069883211422908500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:33:55",
"content": "Oh they are",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:34:03",
"content": "Look at the first given line",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "01/31/2023 02:34:13",
"content": "What is a in terms of sin and cos",
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"timestamp": "01/31/2023 02:34:50",
"content": "a=(1+sin(x))/cos(x)",
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"timestamp": "01/31/2023 02:35:24",
"content": "Ok now sub in sim and cos as a function of t",
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"timestamp": "01/31/2023 02:35:46",
"content": "These ones",
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"author_name": "Frosst",
"timestamp": "01/31/2023 02:36:59",
"content": "I’m not sure if they want for LHS to stay the same but if you can equate both sides you can just manipulate the RHS",
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"author_name": "chewie",
"timestamp": "01/31/2023 02:37:28",
"content": "yeah im struggling to manipulate this into the required form",
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"id": 1069884154847703000,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:37:40",
"content": "wait",
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"id": 1069884163127259100,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:37:41",
"content": "i got it",
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{
"id": 1069884178751041500,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:37:45",
"content": "let me try",
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},
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"id": 1069884608042238000,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:39:28",
"content": "???",
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"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:39:30",
"content": "i failed",
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},
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"id": 1069884904915095600,
"author_id": 899950503813840900,
"author_name": "chewie",
"timestamp": "01/31/2023 02:40:38",
"content": "nvm I GOT IT",
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"author_name": "chewie",
"timestamp": "01/31/2023 02:40:55",
"content": "took me a few tries",
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"timestamp": "01/31/2023 02:41:09",
"content": "alright @Frosst thanks for your help buddy",
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"timestamp": "01/31/2023 02:41:12",
"content": "take care",
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"id": 1069885064038600700,
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"timestamp": "01/31/2023 02:41:16",
"content": ".close",
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"timestamp": "01/31/2023 02:41:17",
"content": "Channel closed",
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] | help-9 | 0f6702f19d004609b6e4eef47e19b83b |
201,187 | [
{
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"timestamp": "01/31/2023 02:57:07",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_id": 954062091269075000,
"author_name": "pipinstallbrain",
"timestamp": "01/31/2023 02:59:46",
"content": "I can’t seem to figure out where that OP value came from, any help?",
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"id": 1069889744521138200,
"author_id": 954062091269075000,
"author_name": "pipinstallbrain",
"timestamp": "01/31/2023 02:59:52",
"content": "This is lines and planes",
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"id": 1069889991234289700,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "01/31/2023 03:00:51",
"content": "P is just a point on the plane i think",
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"id": 1069890010070925300,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "01/31/2023 03:00:55",
"content": "O is origin",
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"id": 1069890236563333100,
"author_id": 954062091269075000,
"author_name": "pipinstallbrain",
"timestamp": "01/31/2023 03:01:49",
"content": "Yes, but (0, 0 , -5) out of nowhere? Can we randomly choose like that? Saying it’s on the plane?",
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"timestamp": "01/31/2023 03:02:06",
"content": "as long as it satisfies the equation of the plane yes",
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"author_name": "idontsleepanymore",
"timestamp": "01/31/2023 03:02:23",
"content": "like input (0,0,-5) on the lhs for the plane eq u get the rhs",
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"id": 1069890405635735600,
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"timestamp": "01/31/2023 03:02:30",
"content": "How would I be",
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"id": 1069890418407379100,
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"timestamp": "01/31/2023 03:02:33",
"content": "Aaah",
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"id": 1069890529627742300,
"author_id": 954062091269075000,
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"timestamp": "01/31/2023 03:02:59",
"content": "Awsome",
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"id": 1069890783139877000,
"author_id": 954062091269075000,
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"timestamp": "01/31/2023 03:04:00",
"content": "So that would mean I can find one of the intercepts, by setting x and y to 0 and use it always as one of the point, correct?",
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"timestamp": "01/31/2023 03:04:56",
"content": "ig?",
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"author_name": "pipinstallbrain",
"timestamp": "01/31/2023 03:06:06",
"content": "Well thank you so much for your help, I was wondering the whole past 15 mins where this came from 😭",
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"id": 1069891640224911400,
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"content": ".close",
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"id": 1069891643567775700,
"author_id": 805217272087838700,
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"content": "Channel closed",
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] | help-9 | 0030aeb7272d40efa2f928f47e77b823 |
201,188 | [
{
"id": 1036694131797401600,
"author_id": 1014671992898715600,
"author_name": "Amer",
"timestamp": "10/31/2022 13:32:21",
"content": "ok",
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"id": 1036694320398475300,
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"content": "Available help channel!",
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},
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"id": 1036697777037656000,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/31/2022 13:46:50",
"content": "please help with this equation",
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"content": "Pinned a message.",
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"id": 1036697884940308600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/31/2022 13:47:16",
"content": "If 5^4x = 5^100, what's 4x?",
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"id": 1036698410918617200,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/31/2022 13:49:22",
"content": "idk",
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"id": 1036698509660922000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/31/2022 13:49:45",
"content": "a^b = a^c implies that b = c\nSo 5^4x = 5^100 means that 4x = 100",
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"id": 1036698628309405700,
"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/31/2022 13:50:13",
"content": "x = 25?",
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"id": 1036699332008747100,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "10/31/2022 13:53:01",
"content": "Yes",
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"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/31/2022 13:54:04",
"content": "thanks",
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"author_id": 852659815624998900,
"author_name": "Senior Batata",
"timestamp": "10/31/2022 13:54:07",
"content": ".close",
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"timestamp": "10/31/2022 13:54:07",
"content": "Channel closed",
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] | help-9 | af973a566bc94ad58297bffb87a8b79a |
201,189 | [
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"content": "Available help channel!",
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"id": 1069893338582495200,
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"author_name": "babblojipbo",
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"content": "Pinned a message.",
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"author_name": "babblojipbo",
"timestamp": "01/31/2023 03:14:30",
"content": "i need to find the exact value",
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"timestamp": "01/31/2023 03:15:26",
"content": "Recognize this is just tan(a-b)",
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"timestamp": "01/31/2023 03:15:45",
"content": "omg",
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"content": ":sully:",
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"timestamp": "01/31/2023 03:16:03",
"content": "thank you",
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] | help-9 | 27abfb3166424f5baa2b00939fc35fef |
201,190 | [
{
"id": 1069895868817342600,
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"content": "Available help channel!",
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{
"id": 1069896846513811500,
"author_id": 602041776991109100,
"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:28:05",
"content": "how is lhs equal to rhs?",
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"content": "Pinned a message.",
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"id": 1069897154329583700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/31/2023 03:29:19",
"content": "rhs or middle?",
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"id": 1069897373108670500,
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"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:30:11",
"content": "middle",
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"id": 1069897388183003100,
"author_id": 602041776991109100,
"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:30:15",
"content": "i meant middle",
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"id": 1069898611137200300,
"author_id": 602041776991109100,
"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:35:06",
"content": "i dont get how the left hand side is equal to the expression right after it",
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"id": 1069898779613991000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/31/2023 03:35:46",
"content": "divide numerator and denominator by n^2",
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"id": 1069898789537714200,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "01/31/2023 03:35:49",
"content": "Division by n^2",
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"id": 1069898901009748000,
"author_id": 602041776991109100,
"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:36:15",
"content": "why do we divide by n^2 to find the limit?",
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"author_name": "sloppymope",
"timestamp": "01/31/2023 03:36:35",
"content": "Because then you can clearly see that everything that’s divided by n is zero",
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"id": 1069899243524993200,
"author_id": 602041776991109100,
"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:37:37",
"content": "so its a general rule when finding a limit to divide everything by the highest degree?",
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"id": 1069899929260134400,
"author_id": 602041776991109100,
"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:40:20",
"content": "highest degree in the denominator",
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"id": 1069900125838786600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/31/2023 03:41:07",
"content": "when taking limit to infinity",
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"author_name": "Hyppoh",
"timestamp": "01/31/2023 03:42:51",
"content": "ok thank you",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 03:57:52",
"content": "@Hyppoh Has your question been resolved?",
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"timestamp": "01/31/2023 04:12:52",
"content": "Channel closed",
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] | help-9 | ac2a68b003344074a54ee5decee42e24 |
201,191 | [
{
"id": 1069912851633930200,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 04:31:41",
"content": "Available help channel!",
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},
{
"id": 1069916948122587100,
"author_id": 864507729598873600,
"author_name": "mags",
"timestamp": "01/31/2023 04:47:58",
"content": "hello, does anyone here familiar in java programming? can you pls help me find the error in my code? \n\n```java\nimport java.util.Scanner;\n\npublic class PSR {\n \npublic void PSR (String Paper, String Scissor, String Rock) {\n \n Paper = \"P\";\n Scissor = \"S\";\n Rock = \"R\";\n \n\nif (playerOne == playerTwo) {\n System.out.println(\"Tie\");\n \n }else if (playerOne==P && playerTwo==R) {\n System.out.println(\"PSR(\\\"paper\\\", \\\"rock\\\") \\\"Player 1 wins!\\\"\");\n }else if (playerOne==R && playerTwo==S) {\n System.out.print(\"PSR(\\\"rock\\\", \\\"scissors\\\") \\\"Player 1 wins!\\\"\");\n }else if (playerOne==S && playerTwo==P) {\n print(\"PSR(\\\"scissors\\\", \\\"paper\\\") \\\"Player 1 wins!\\\"\");\n }else if (playerTwo==P && playerOne==R) {\n System.out.println(\"PSR(\\\"paper\\\", \\\"rock\\\") \\\"Player 2 wins!\\\"\");\n }else if (playerTwo==R && playerOne==S) {\n System.out.print(\"PSR(\\\"rock\\\", \\\"scissors\\\") \\\"Player 2 wins!\");\n }else if (playerTwo==S && playerOne==P) {\n print(\"PSR(\\\"scissors\\\", \\\"paper\\\") \\\"Player 2 wins!\");\n }\n\nwhile(true); \n Scanner input = new Scanner(System.in);\n System.out.print(\"[P] Paper \\n[S] Scissors \\n[R] Rock \\n\");\n \n String playerOne = scan.nextLine();\n System.out.println(\"Player1: \");\n String playerTwo = scan.nextLine();\n System.out.println(\"Player2: \");\n```",
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"timestamp": "01/31/2023 04:47:59",
"content": "Pinned a message.",
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"id": 1069917306446164000,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:49:23",
"content": "is there any error output or just getting an unexpected result?",
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"author_name": "mags",
"timestamp": "01/31/2023 04:50:07",
"content": "it only has 1 error and it says reach end of file while parsing",
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"author_name": "Sooshon",
"timestamp": "01/31/2023 04:50:26",
"content": "i think on the while(true); line you shouldn't have ; at the end of that line",
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"id": 1069917625783697400,
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"author_name": "Sooshon",
"timestamp": "01/31/2023 04:50:40",
"content": "you need to have a { } block to contain the code for the while loop",
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"id": 1069917679172997200,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:50:52",
"content": "similar to the if block",
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"id": 1069917880315035600,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:51:40",
"content": "but also, seems like youre defining the playerOne, playerTwo variables after the if block, and the if is already trying to use them, so that will be a problem too, won't it?",
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"id": 1069918336554639500,
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"author_name": "mags",
"timestamp": "01/31/2023 04:53:29",
"content": "yes because we were asked to do a rock paper scissor game using two parameters and i'm confused on how to code it i'm honestly lost and i think that the code i made is wrong",
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"author_id": 864507729598873600,
"author_name": "mags",
"timestamp": "01/31/2023 04:53:53",
"content": "because it keeps on having 1 error and doesn't even run",
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},
{
"id": 1069918636065697900,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/31/2023 04:54:40",
"content": "that doesn't look like the full class",
"attachments": [],
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},
{
"id": 1069918984356495400,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/31/2023 04:56:04",
"content": "you're overwriting the parameters passed to the function?",
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"id": 1069919070692048900,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/31/2023 04:56:24",
"content": "send the full code",
"attachments": [],
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},
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"id": 1069919077797212200,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:56:26",
"content": "well right now youre trying to compare playerOne and playerTwo variables before they exist, you need to move that whole if block inside the while loop, and after the input stuff, you want the comparison to run every time the inputs are given right? and it needs to run AFTER the input or it can't make use of the input",
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"id": 1069919247763001300,
"author_id": 864507729598873600,
"author_name": "mags",
"timestamp": "01/31/2023 04:57:06",
"content": "i already send it",
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"id": 1069919733731823600,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/31/2023 04:59:02",
"content": "that wouldn't compile",
"attachments": [],
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},
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"id": 1069919734872686700,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:59:02",
"content": "there are quite a lot of errors",
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"id": 1069919798701596700,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:59:18",
"content": "are you using a IDE that shows you syntax errors at all?",
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"id": 1069919826090397800,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/31/2023 04:59:24",
"content": "you haven't closed off the curly braces",
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"id": 1069919904507117600,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "01/31/2023 04:59:43",
"content": "how do you use the Scanner util class? i forget. your scan variable is not defined",
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"content": "yes, i know it has a lot of errors",
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"content": "I'm trying to correct the code",
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"content": "i'm using an online compiler only",
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"content": "okayy can i see how do u do it?",
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"content": "alright, just random aside, if you need a free offline IDE that will probably give you better display of syntax errors etc to help you fix your code I recommend https://www.jetbrains.com/idea/",
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"content": "oh okay is this the one similar in pycharm?",
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"content": "im not familiar with pycharm, isnt that one just for python?",
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"content": "not sure",
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"content": "yes it is for python",
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"content": "but yeah i think they are by the same developer, i personally use IntelliJ for python as well",
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"content": "actually i tried to code it in python but since i'm not very familiar in java that's why i'm having a hard time to transfer it",
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"content": "i tried to run it on python and it works",
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"content": "but i need to program it to java since its in the instruction",
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"content": "one minute im trying to fix things, there are a lot of things to fix 😅",
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"content": "okay sure take your time",
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"timestamp": "01/31/2023 05:12:18",
"content": "im unclear why it's never getting true for any of the if statements",
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"content": "no matter what input i give it",
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"content": "anyway at least this runs, you can figure out why its not reaching any of the if blocks : ) good luck",
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"content": "@mags",
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"content": "it does run on your end?",
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"timestamp": "01/31/2023 05:18:19",
"content": "thank you i will read the comments on your code",
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"timestamp": "01/31/2023 05:18:43",
"content": "yes it takes the inputs but the comparisons dont seem to work",
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"content": "just skips over that, ignore the test outputs i was doing",
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"content": "oh okayy",
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"content": "thank you so much for your help",
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] | help-9 | 2fb210f7a704426bbc38c7fb13e375e1 |
201,192 | [
{
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"content": "How does 2 (log(base5)(5))) = 2 ?",
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"content": "Heres the full solution",
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"timestamp": "01/31/2023 05:26:14",
"content": "recall properties of logarithms",
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"content": "I dont understand how, log(base5)5 = 1",
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"id": 1069926657407844400,
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"timestamp": "01/31/2023 05:26:33",
"content": "Properties? like the rules?",
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"timestamp": "01/31/2023 05:26:36",
"content": "laws*",
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"id": 1069926694871380000,
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"content": "yes",
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"content": "oh",
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"content": "i see, log(base(a)(a) = a",
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"content": "thanks",
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"content": "nope",
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"content": "?",
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"content": "$log_a(a) \\neq a$",
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"timestamp": "01/31/2023 05:27:19",
"content": "wait",
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"id": 1069926855144132700,
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"author_name": "TeXit",
"timestamp": "01/31/2023 05:27:20",
"content": "**active mental mutilation liker**",
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"content": "it -1",
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"id": 1069926865722159100,
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"content": "=1",
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"id": 1069926877764005900,
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"content": "*",
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"id": 1069926964376379400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/31/2023 05:27:46",
"content": "why even bother applying a log rule to go from $\\log_5(5^2)$ to $2 \\log_5(5)$?",
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"timestamp": "01/31/2023 05:27:54",
"content": "oh rip sully",
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"content": "?",
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"timestamp": "01/31/2023 05:28:05",
"content": "hyd get sully in preamble",
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"timestamp": "01/31/2023 05:28:17",
"content": "to simplify?",
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"timestamp": "01/31/2023 05:28:29",
"content": "**Ann**",
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"timestamp": "01/31/2023 05:28:46",
"content": "if you want to \"simplify\" then why not remind yourself of the definition of log",
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"timestamp": "01/31/2023 05:28:54",
"content": "yea i got it now thanks",
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"id": 1069927255855354000,
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"author_name": "Ann",
"timestamp": "01/31/2023 05:28:56",
"content": "log_a(x) is the answer to the question \"a to what power gives x?\"",
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"timestamp": "01/31/2023 05:29:05",
"content": "log_5(5^2), thus, is the answer to the question \"5 to what power gives 5^2?\"",
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"timestamp": "01/31/2023 05:29:29",
"content": "power of 2?",
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"author_name": "QueefKing",
"timestamp": "01/31/2023 05:30:13",
"content": "thanks guys",
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"timestamp": "01/31/2023 05:30:15",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 05:30:16",
"content": "Channel closed",
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] | help-9 | 56e3b2bda2be48a18920987e1cf440a4 |
201,193 | [
{
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"author_name": "thou_art_an_egg",
"timestamp": "01/31/2023 05:59:40",
"content": "could someone verify if my proof is correct please?",
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"content": "bigger picture:",
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"content": ".close",
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] | help-9 | 896eabde7f2c456aa5ba2eea2163131c |
201,194 | [
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"content": "and what's \"the slide method\"?",
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"content": "the correct pic and link",
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"content": "fastest way to factor a trinomial is to ask a calculator",
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"content": "clickbait title",
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"content": "these things ARE clickbait by their very nature",
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"content": "so does it work?",
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"content": "maybe bc of the y?",
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"content": "i geuss",
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"content": "actually I don't think the y is relevant here at all lol",
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"content": "would you know how to factor 2x^2 - 16x +30 (ignoring the y's)?",
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"content": "$2x^2-16x+30$",
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"timestamp": "01/31/2023 07:43:52",
"content": "**Sooshon**",
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"content": "?",
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"author_name": "Sooshon",
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"content": "if you can factor that, you can factor the other one",
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"content": "example with the first one you posted",
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"content": "if you think about factoring $9x^2+12x+4$ which probably you are more familiar with",
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"timestamp": "01/31/2023 07:45:25",
"content": "**Sooshon**",
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"content": "you can see it's a perfect square: (3x+2)(3x+2)",
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"content": "well the problem with the y would just factor similarly as (3x+2y), if you foil it back you can see how the y ends up in the 2nd and 3rd terms",
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"content": "no wait i meant to askj the different one",
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"timestamp": "01/31/2023 07:47:03",
"content": "yes, so do you know how to factor this?",
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"content": "ohhhhhhh",
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"content": "i misunderstood",
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"timestamp": "01/31/2023 07:51:08",
"content": "weird cuz i got one right with a different one with no y",
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"timestamp": "01/31/2023 07:51:30",
"content": "well i might ask again later",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 745f30b69e8f476c9bce7e4a5e5fb532 |
201,195 | [
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"content": "Pinned a message.",
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"content": "rational root theorem",
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"id": 1069965967528054900,
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"author_name": "Nxthan",
"timestamp": "01/31/2023 08:02:45",
"content": "Did i do this right ?",
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"id": 1069966038080438400,
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"author_name": "DerpZ",
"timestamp": "01/31/2023 08:03:02",
"content": ",w solve z^3 - 4z^2 + 9z - 10 = 0",
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"content": "Results provided by WolframAlpha",
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"id": 1069966091947872400,
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"timestamp": "01/31/2023 08:03:15",
"content": "thanks",
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"id": 1069966098574889100,
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"author_name": "DerpZ",
"timestamp": "01/31/2023 08:03:16",
"content": "yes",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | ef629a1807814262aacdeb44540e8695 |
201,196 | [
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"content": "Available help channel!",
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"id": 1069968872226160600,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 08:14:18",
"content": "Pinned a message.",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:14:25",
"content": "THis is result of derivation of cube root of x",
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"timestamp": "01/31/2023 08:14:35",
"content": "can this be written in some nicer form?",
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"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:15:14",
"content": "$-\\frac{1}{3\\sqrt[3]{x^2}}$ ?",
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"id": 1069969120063393800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/31/2023 08:15:17",
"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:15:28",
"content": "ig urs is nicer",
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"id": 1069969653679525900,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:17:24",
"content": "hmmm",
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"id": 1069969743345365000,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:17:45",
"content": "how u know its like this?",
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:18:10",
"content": "coz $x^\\frac{1}{n}=\\sqrt[n]{x}$",
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"timestamp": "01/31/2023 08:18:13",
"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:19:36",
"content": "and the 1 would be exponent to x ?",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:19:47",
"content": "so thats why previously x is x^2",
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"id": 1069970258586239000,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:19:48",
"content": "under root?",
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"id": 1069970273366970400,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:19:52",
"content": "great sucess?",
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"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:20:17",
"content": "yeah",
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"id": 1069970500010377200,
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:20:46",
"content": "$x^\\frac{a}{b}=\\left(x^a\\right)^\\frac{1}{b}=\\sqrt[b]{x^a}$",
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"id": 1069970562270646300,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:21:01",
"content": "Woah",
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"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:21:18",
"content": "I always get stressed when supposed to derivate a root of something x and whatnot",
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"id": 1069970669196021800,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:21:26",
"content": "so I look for universal key",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:21:35",
"content": "this can be used as universal key for all sort of root derivations?",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:21:47",
"content": "alos like Square root of -x^2 + y",
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"timestamp": "01/31/2023 08:22:45",
"content": "",
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"timestamp": "01/31/2023 08:25:58",
"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:26:46",
"content": "universal key?",
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:28:13",
"content": "are u asking how to differentiate $\\sqrt{-x^2+y}$ wrt x?",
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"id": 1069972387954696200,
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"timestamp": "01/31/2023 08:28:16",
"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:29:47",
"content": "jmmm",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:30:03",
"content": "I have result but",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:30:10",
"content": "its confuse me always",
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"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:30:14",
"content": "square root derivations",
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"id": 1069972934514442200,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:30:26",
"content": "Its always bit diferent",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:30:35",
"content": "so i think what now when x is ^2",
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"timestamp": "01/31/2023 08:30:47",
"content": "so $\\sqrt{-x^2+y}=\\left(-x^2+y\\right)^\\frac{1}{2}$",
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"timestamp": "01/31/2023 08:30:49",
"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:31:23",
"content": "hmmm",
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"timestamp": "01/31/2023 08:31:43",
"content": "are u able to differentiate this?",
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:31:47",
"content": "or is it still confusing",
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"id": 1069973422785970200,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:32:23",
"content": "If diferentiate for x, it would be -1/2 * 2 x",
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"id": 1069973452993339400,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:32:30",
"content": "so -2/2 x right?",
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"id": 1069973572547788800,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:32:58",
"content": "",
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"id": 1069973665388712000,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:33:20",
"content": "oh 2",
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"id": 1069973679028580500,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:33:24",
"content": "28",
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"id": 1069973687983419400,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:33:26",
"content": "w8",
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"id": 1069973713723871200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:33:32",
"content": "what",
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"timestamp": "01/31/2023 08:33:37",
"content": "",
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"id": 1069973757743079400,
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:33:42",
"content": "like this",
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"id": 1069973785555501000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:33:49",
"content": "well no",
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"id": 1069973823866278000,
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:33:58",
"content": "u must use the chain rule",
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"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:34:13",
"content": "🤔",
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"id": 1069973996906496000,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:34:40",
"content": "isnt rule (f(x) + g(x))' = f'(x)+g'(x)?",
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"id": 1069974075549696000,
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:34:58",
"content": "but we have H[ f(x) + g(x) ] here",
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"id": 1069974096890310700,
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"timestamp": "01/31/2023 08:35:03",
"content": "H(x) = sqrt(x)",
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:35:19",
"content": "f(x) = -x^2\ng(x) = y",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:35:34",
"content": "y gets treated like constant",
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"id": 1069974242071941100,
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:35:38",
"content": "yeah",
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"id": 1069974274489724900,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:35:46",
"content": "u have the square root of the sum",
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"timestamp": "01/31/2023 08:36:18",
"content": "if u had only to differentiate -x^2 + y, then it wud simply be the sum of their derivatives",
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"timestamp": "01/31/2023 08:36:46",
"content": "but now u have the square root of the sum",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:38:00",
"content": "I confuse",
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:39:14",
"content": "okay if u had to differentiate $\\left[-x^2+y\\right]^3$, how would u do it",
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"timestamp": "01/31/2023 08:39:17",
"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:39:19",
"content": "wrt x",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:41:13",
"content": "-3x^4",
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"id": 1069975866748174300,
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:42:05",
"content": "um no",
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"id": 1069975914236096600,
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:42:17",
"content": "do u know the chain rule?",
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"id": 1069975927406198900,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:42:20",
"content": "Hmmm",
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{
"id": 1069975956548239400,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:42:27",
"content": "Wait is this complex derivations ?",
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"id": 1069975970242633700,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:42:30",
"content": "with u and v things?",
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"id": 1069976183053238400,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:43:21",
"content": "uhm by complex do u mean relating to complex numbers?",
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"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:43:59",
"content": "u dont need to know complex numbers to do this",
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"timestamp": "01/31/2023 08:44:17",
"content": "the chain rule tells u the derivative $\\der{}{x}f(g(x))$",
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"content": "**SilverSoldier**",
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"content": "in my language its called like that",
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"content": "**SilverSoldier**",
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"content": "When i was learning this i couldnt understand",
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"content": "but now i remember this is this",
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"content": "related to exponent",
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"content": "yes this",
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"content": "i didnt understand",
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"content": "too much things",
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"timestamp": "01/31/2023 08:47:09",
"content": "do u know what $f\\circle g$ means?",
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"content": "its derivated function",
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"content": "oh",
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"timestamp": "01/31/2023 08:47:26",
"content": "wait",
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"timestamp": "01/31/2023 08:47:28",
"content": "wait",
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"timestamp": "01/31/2023 08:47:30",
"content": "circle g i dont know",
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"timestamp": "01/31/2023 08:47:56",
"content": "$\\left(f\\circ g\\right)(x)$",
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"timestamp": "01/31/2023 08:47:58",
"content": "**SilverSoldier**",
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"content": "this stands for $f(g(x))$",
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"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:48:40",
"content": "so u first input the number x to the function g, then find its output, and give that output as the input to f",
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"content": "do u get it?",
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"content": "if u r finding the derivative of this",
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"content": "In that case we would need to get a number to test?",
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"content": "we dont need to test",
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"timestamp": "01/31/2023 08:49:51",
"content": "for example if u had $\\sin\\left(2x\\right)$",
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"content": "**SilverSoldier**",
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"timestamp": "01/31/2023 08:49:58",
"content": "you can see there are two functions",
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"content": "yes",
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"timestamp": "01/31/2023 08:50:00",
"content": "first functions is 2x",
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"timestamp": "01/31/2023 08:50:16",
"content": "so this function takes some number, multiplies it by 2 and gives u the result",
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"timestamp": "01/31/2023 08:50:18",
"content": "right?",
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"timestamp": "01/31/2023 08:50:22",
"content": "the second function is the sine",
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"timestamp": "01/31/2023 08:50:29",
"content": "yes",
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"timestamp": "01/31/2023 08:50:42",
"content": "here we have the function 2x as the input to the sine function",
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"timestamp": "01/31/2023 08:51:35",
"content": "for example when x = 1, the function 2x outputs 2\nso we input 2 to the sine function at x = 1",
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"timestamp": "01/31/2023 08:52:18",
"content": "hmm yes",
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"timestamp": "01/31/2023 08:53:42",
"content": "Oh s o",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:54:00",
"content": "its sin(2x)' * 2x'",
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"timestamp": "01/31/2023 08:54:01",
"content": "yo",
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"timestamp": "01/31/2023 08:54:04",
"content": "I need to go drive someone",
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"author_name": "Zvonko Rohatinski",
"timestamp": "01/31/2023 08:54:07",
"content": "thank very much",
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"content": "well",
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"timestamp": "01/31/2023 08:54:26",
"content": "qaaaaaaa",
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"timestamp": "01/31/2023 08:54:28",
"content": "drama obama",
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"content": "derivative of sine is cos",
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"timestamp": "01/31/2023 08:54:33",
"content": "so cos(2x)",
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"timestamp": "01/31/2023 08:54:33",
"content": "oh",
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"content": "oh",
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"id": 1069979013566705800,
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"timestamp": "01/31/2023 08:54:36",
"content": "yes",
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"timestamp": "01/31/2023 08:54:36",
"content": "mutlitplied by",
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"content": "the derivaitve of 2x which is 2",
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"content": "2",
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"content": "yes",
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"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/31/2023 08:54:47",
"content": "so the answer shud be 2*cos(2x)",
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"timestamp": "01/31/2023 08:54:47",
"content": "great sucess",
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"timestamp": "01/31/2023 08:55:00",
"content": "very nice",
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"timestamp": "01/31/2023 08:55:07",
"content": "now maybe u can try this?",
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"timestamp": "01/31/2023 09:10:00",
"content": "@Zvonko Rohatinski Has your question been resolved?",
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] | help-9 | 6fd4928b5d1046d0be5e17753043e7c3 |
201,197 | [
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"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/31/2023 09:38:29",
"content": "you can just find integral 0 to 1 for 4x-x^2 and double it since the areas are the same",
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},
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"id": 1069990182738206800,
"author_id": 279392238319173630,
"author_name": "ahmed349",
"timestamp": "01/31/2023 09:38:59",
"content": "Ah dang alright",
"attachments": [],
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"reference": null
},
{
"id": 1069990469846700000,
"author_id": 279392238319173630,
"author_name": "ahmed349",
"timestamp": "01/31/2023 09:40:07",
"content": "I got it thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069990478080127100,
"author_id": 279392238319173630,
"author_name": "ahmed349",
"timestamp": "01/31/2023 09:40:09",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1069990481796280300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 09:40:10",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 0dd0fb38086c4f67aec54eef713c0f04 |
201,198 | [
{
"id": 1069990733731352600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 09:41:10",
"content": "Available help channel!",
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"mentions": [],
"reference": null
},
{
"id": 1069990765826162700,
"author_id": 947934312500703200,
"author_name": "Meteoraid",
"timestamp": "01/31/2023 09:41:18",
"content": "have exams tmrw how do you solve these kinda equations",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069990768766357600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 09:41:18",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1069990765826162700,
"channelId": 486844875632017400,
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{
"id": 1069990838966419500,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/31/2023 09:41:35",
"content": "i hope a picture is on its way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069991645761785900,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/31/2023 09:44:47",
"content": "I think your hope is in the wrong place",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069991683040747500,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:44:56",
"content": "well I found the pic in another channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069991774606598300,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:45:18",
"content": "no idea if it has changed tho",
"attachments": [],
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"reference": null
},
{
"id": 1069991793782948000,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/31/2023 09:45:23",
"content": ":KEK:",
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},
{
"id": 1069991848657039500,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "01/31/2023 09:45:36",
"content": "@Meteoraid",
"attachments": [],
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{
"id": 1069991929368023200,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/31/2023 09:45:55",
"content": "where did they send it?",
"attachments": [],
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"reference": null
},
{
"id": 1069991947130900600,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:45:59",
"content": "https://cdn.discordapp.com/attachments/903463355619110912/1069990727804784660/image.png",
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},
{
"id": 1069991971675979900,
"author_id": 279392238319173630,
"author_name": "ahmed349",
"timestamp": "01/31/2023 09:46:05",
"content": "We have yet to formulate theories to solve non existent equations",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069991974322569300,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:46:06",
"content": "I mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069992011664470000,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:46:15",
"content": "we cannot assume that this is the question",
"attachments": [],
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"reference": null
},
{
"id": 1069992112512311400,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:46:39",
"content": "Actually I have a theory",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069992122213740700,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:46:41",
"content": "Its called coose",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069992144250609700,
"author_id": 806790920770814000,
"author_name": "jay.",
"timestamp": "01/31/2023 09:46:46",
"content": ".coose",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069992169701654500,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 09:46:52",
"content": "To solve nonexistent problems we just coose",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069992187540033700,
"author_id": 279392238319173630,
"author_name": "ahmed349",
"timestamp": "01/31/2023 09:46:57",
"content": "cOoSe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1069994541605716000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 09:56:18",
"content": "@Meteoraid Has your question been resolved?",
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"id": 1069998317955719300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 10:11:18",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | ffb164a5b3074113ae9e3f383452492a |
201,199 | [
{
"id": 1036700313186488300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 13:56:55",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1036701660627615900,
"author_id": 229318440194670600,
"author_name": "Newton",
"timestamp": "10/31/2022 14:02:16",
"content": "How would this set look like if n = 3?\n\nwould it be:\n\n{{0},{0,1},{0,1,2,}{0,1,2,3},{1},{1,2},{1,2,3},{2},{2,3},{3}} ?",
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{
"id": 1036701662993199100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 14:02:17",
"content": "Pinned a message.",
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"id": 1036705437015363700,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 14:17:17",
"content": "@Newton Has your question been resolved?",
"attachments": [],
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"name": "Newton",
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{
"id": 1036705566057304000,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "10/31/2022 14:17:48",
"content": "S doesn’t depend on n",
"attachments": [],
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"reference": null
},
{
"id": 1036705807103971500,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "10/31/2022 14:18:45",
"content": "S is defined in terms of the natural numbers, not a single natural number",
"attachments": [],
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},
{
"id": 1036709214019662000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 14:32:17",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 06800ba6040d4eff8ff537f12c5dea27 |
201,200 | [
{
"id": 1069998573023924200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 10:12:19",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1069999757885448300,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:17:01",
"content": "help",
"attachments": [],
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"reference": null
},
{
"id": 1069999760720793900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 10:17:02",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1069999757885448300,
"channelId": 486844875632017400,
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"id": 1069999816597307400,
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"author_name": "eleven",
"timestamp": "01/31/2023 10:17:15",
"content": "",
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{
"id": 1070000578249379800,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:20:17",
"content": "is it 0? right?",
"attachments": [],
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"reference": null
},
{
"id": 1070000597933232100,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:20:22",
"content": "Did you try rationalising",
"attachments": [],
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},
{
"id": 1070000645379195000,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:20:33",
"content": "ohhh i need to rationalize it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070000707744309200,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:20:48",
"content": "Yes because if you substitute",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070000749582495700,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:20:58",
"content": "You get 0/0 which is indeterminate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070000838199759000,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:21:19",
"content": "how to rationalize it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070000853018222600,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:21:23",
"content": "can u give me tips",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070000900866846800,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:21:34",
"content": "Observe the denominator",
"attachments": [],
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"reference": null
},
{
"id": 1070000966465757300,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:21:50",
"content": "By rationalising you would ideally want to remove the roots",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070000977098309800,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:21:52",
"content": "i will change the sign?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070001000238284900,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:21:58",
"content": "Yes exactly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070001021738307700,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:22:03",
"content": "OHHH WAIT",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070001031498448900,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:22:05",
"content": "LEMME TRY",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070001064478261400,
"author_id": 720878221071220900,
"author_name": "Be",
"timestamp": "01/31/2023 10:22:13",
"content": "Multiply both denominator and numerator with the same thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070001667468165200,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:24:37",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070001713001529300,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:24:48",
"content": "ill try it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070002879039021200,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:29:26",
"content": "or im wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070004357824794600,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:35:18",
"content": "I GOT ITTT",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070004386593517700,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:35:25",
"content": "ITS 4 right?",
"attachments": [],
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"reference": null
},
{
"id": 1070008152558420100,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:50:23",
"content": ".closed",
"attachments": [],
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},
{
"id": 1070009168431415400,
"author_id": 722117981664051300,
"author_name": "eleven",
"timestamp": "01/31/2023 10:54:25",
"content": ".close",
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},
{
"id": 1070009171170308100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 10:54:26",
"content": "Channel closed",
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"reference": null
}
] | help-9 | 6d45b73d2be24fa68d80e07fda1be97c |
201,201 | [
{
"id": 1070009424439152800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 10:55:26",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1070011580907008100,
"author_id": 157406565127815170,
"author_name": "Warmazta",
"timestamp": "01/31/2023 11:04:00",
"content": "Practical cards (poker statistics) problem: Say I have two known cards (not the king of diamonds). If I shuffle the remaining deck of cards and deal out 14 cards, then repeat this 20 time. What is expected value of the total Kings of diamonds dealt? Secondly, is there a way to calculate the theoretical SD of the result? For example if the EV is seeing the card 5 times in 20 deals, can I calculate the SD as 3 and therefore approx 68% of the time it is between 2 and 8?",
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},
{
"id": 1070011583733964900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 11:04:01",
"content": "Pinned a message.",
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"id": 1070015357198282800,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 11:19:01",
"content": "@Warmazta Has your question been resolved?",
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"id": 1070015427356414000,
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"author_name": "Warmazta",
"timestamp": "01/31/2023 11:19:17",
"content": "@Helpers",
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},
{
"id": 1070022977992785900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 11:49:18",
"content": "@Warmazta Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 12:49:22",
"content": "@Warmazta Has your question been resolved?",
"attachments": [],
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"timestamp": "01/31/2023 13:49:23",
"content": "Channel closed",
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}
] | help-9 | 1163c2ff817f4f469cfedd17bd9d1117 |
201,202 | [
{
"id": 1070053452010487900,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 13:50:23",
"content": "Available help channel!",
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},
{
"id": 1070054042874695700,
"author_id": 426794182292537340,
"author_name": "__lidiaaaa__02",
"timestamp": "01/31/2023 13:52:44",
"content": "I dont know how to do this exercise:\n\n\"What is the minimum number of vertices that a graph of 66 edges must have?\"",
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},
{
"id": 1070054045101850600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 13:52:44",
"content": "Pinned a message.",
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"id": 1070054087388831700,
"author_id": 426794182292537340,
"author_name": "__lidiaaaa__02",
"timestamp": "01/31/2023 13:52:55",
"content": "could someone help me?",
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},
{
"id": 1070057717244375200,
"author_id": 426794182292537340,
"author_name": "__lidiaaaa__02",
"timestamp": "01/31/2023 14:07:20",
"content": "@Helpers pleasee",
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},
{
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"timestamp": "01/31/2023 14:10:03",
"content": "The minimum number of vertices that a graph of 66 edges must have is 67.",
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"content": "how did you do it?",
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"timestamp": "01/31/2023 14:10:52",
"content": "wait",
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"author_name": "giannis_money",
"timestamp": "01/31/2023 14:11:00",
"content": "Is the graph connected",
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"timestamp": "01/31/2023 14:11:06",
"content": "i think my answer is wrong",
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"timestamp": "01/31/2023 14:11:51",
"content": "Should be 66",
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"content": "i guess its coneected cause i dont think we have to just say 0",
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"timestamp": "01/31/2023 14:12:10",
"content": "and how did you do it?",
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"timestamp": "01/31/2023 14:12:16",
"content": "Cycle",
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"author_name": "heavenlyhaen",
"timestamp": "01/31/2023 14:12:23",
"content": "is it the minimum number?",
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"timestamp": "01/31/2023 14:12:30",
"content": "Even if its not connected you need vertices to have edges",
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"timestamp": "01/31/2023 14:12:42",
"content": "Probably",
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"timestamp": "01/31/2023 14:13:08",
"content": "No wait",
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"author_name": "giannis_money",
"timestamp": "01/31/2023 14:13:23",
"content": "It should be a complete graph",
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"author_name": "giannis_money",
"timestamp": "01/31/2023 14:13:44",
"content": "So there are max edges for a given amount of vertices",
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"author_name": "__lidiaaaa__02",
"timestamp": "01/31/2023 14:14:11",
"content": "so what would be the answerd?",
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"content": "12",
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"author_name": "__lidiaaaa__02",
"timestamp": "01/31/2023 14:17:11",
"content": "but how do you know it?",
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 14:32:11",
"content": "@__lidiaaaa__02 Has your question been resolved?",
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"timestamp": "01/31/2023 14:32:22",
"content": "@Helpers",
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"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:32:53",
"content": "pretty sure it's 66",
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"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:34:33",
"content": "your edges have to connect which means they must create a vertice\n\nit's unavoidable",
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"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:35:12",
"content": "But several edges can share a vertex",
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"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:35:56",
"content": "shi u right I didnt rlly think about that",
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"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:36:57",
"content": "Max number of edges for n vertices is obtained by the complete graph on n vertices, which has n(n-1) edges",
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"timestamp": "01/31/2023 14:37:49",
"content": "So it’s the smallest number such that n(n-1) >= 66",
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"id": 1070065476996169700,
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"timestamp": "01/31/2023 14:38:10",
"content": "Wait no",
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"timestamp": "01/31/2023 14:38:17",
"content": "we lookin for minimum",
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"timestamp": "01/31/2023 14:38:18",
"content": "n(n-1)/2",
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"timestamp": "01/31/2023 14:38:45",
"content": "Yeah this will give the minimum",
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"timestamp": "01/31/2023 14:39:15",
"content": "It’s the smallest number of vertices you can have to get enough edges",
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"timestamp": "01/31/2023 14:39:42",
"content": "so i just have to get n from 66=n(n-1)/2??",
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"author_name": "frownyfrog",
"timestamp": "01/31/2023 14:40:15",
"content": "that would probably work",
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"timestamp": "01/31/2023 14:40:55",
"content": "Basically but I didn’t do the math to know if you actually want an equals sign there",
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"timestamp": "01/31/2023 14:41:14",
"content": "If you end up with a fraction proudness down",
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"timestamp": "01/31/2023 14:41:15",
"content": "oh okay, it's a whole number anyway",
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"timestamp": "01/31/2023 14:41:27",
"content": "you'd round up",
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"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:41:38",
"content": "Round* sorry my keyboard is messed up",
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"id": 1070066380931608600,
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"timestamp": "01/31/2023 14:41:46",
"content": "U right",
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"author_name": "__lidiaaaa__02",
"timestamp": "01/31/2023 14:42:59",
"content": "could the answer be 12?",
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"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:43:09",
"content": "it takes 3 edges to start and end at a point right? one to go away from the point, one to move literally anywhere, and one to come back. I think the answer is 22.",
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"timestamp": "01/31/2023 14:44:12",
"content": "Challenge time: check by drawing the complete graph on 12 vertices and counting the edges",
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"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:44:58",
"content": "Again, the same vertex can be used many times",
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"id": 1070067352449859700,
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"author_name": "ThM",
"timestamp": "01/31/2023 14:45:37",
"content": "it depends what criterias the graph has to fulfil. connected? closed? etc. etc.",
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"timestamp": "01/31/2023 14:46:05",
"content": "yeah I counted the same vertex multiple times oops",
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"timestamp": "01/31/2023 14:46:34",
"content": "it just says a graph nothing more",
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"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:48:17",
"content": "Try to reason how many edges a graph with n vertices can possibly have",
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"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:48:55",
"content": "wait guys I'm stupid",
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"id": 1070068182796218400,
"author_id": 454028710379651100,
"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:48:55",
"content": "At moist there’s an edge for every pair of vertices",
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"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:49:41",
"content": "22 is the amount of trinagles you can make, not vertices",
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"id": 1070068437361107100,
"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:49:56",
"content": "so (22*2)+1",
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"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:50:03",
"content": "45 vertices?",
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"id": 1070068654147895300,
"author_id": 454028710379651100,
"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:50:48",
"content": "Where did 22*2+1 come from?",
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"author_id": 450405283693592600,
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"timestamp": "01/31/2023 14:52:23",
"content": "omg wait",
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"id": 1070069088589729900,
"author_id": 836252175675818100,
"author_name": "ThM",
"timestamp": "01/31/2023 14:52:31",
"content": "as the definition of a graph is unique, of course. 🤦",
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"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:52:35",
"content": "can I just like delete everything I typed",
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"id": 1070069157061722200,
"author_id": 454028710379651100,
"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:52:47",
"content": "Hahaha",
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"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:53:19",
"content": "every time I think I got it I realize I left something out",
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"id": 1070069949189595300,
"author_id": 450405283693592600,
"author_name": "Slash Slash Undo",
"timestamp": "01/31/2023 14:55:56",
"content": "I'm not smart enough for this",
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"id": 1070070081272430700,
"author_id": 454028710379651100,
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"timestamp": "01/31/2023 14:56:28",
"content": "It’s not really about how smart you are",
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"id": 1070070232460296300,
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"timestamp": "01/31/2023 14:57:04",
"content": "They wouldn’t have asked the question if nobody else found it hard",
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"id": 1070070453730811900,
"author_id": 454028710379651100,
"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:57:57",
"content": "Problem solving is more about experience than innate ability",
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"id": 1070070910058496000,
"author_id": 454028710379651100,
"author_name": "ImmortalVoddoler",
"timestamp": "01/31/2023 14:59:45",
"content": "Try answering the reverse question: on a graph with, say, 5 vertices, what’s the maximum number of edges you can fit?",
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"id": 1070074799881207800,
"author_id": 836252175675818100,
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"timestamp": "01/31/2023 15:15:13",
"content": "12",
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"id": 1070076548016771100,
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"timestamp": "01/31/2023 15:22:10",
"content": "choose 12 points, take all possible pairs of 2 points -> 12x11/2 = 66 posible pairs. each pair is one edge",
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"timestamp": "01/31/2023 15:34:39",
"content": "@__lidiaaaa__02 Has your question been resolved?",
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"timestamp": "01/31/2023 16:04:40",
"content": "Channel closed",
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] | help-9 | d3ef06a1ee804ceb90fe790fd0fa0932 |
201,203 | [
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"timestamp": "01/31/2023 16:22:56",
"content": "@llamaa Has your question been resolved?",
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"content": "@llamaa Has your question been resolved?",
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] | help-9 | f625f4740100456db508743d001592c8 |
201,204 | [
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"content": "Available help channel!",
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"id": 1070111493485494300,
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"timestamp": "01/31/2023 17:41:01",
"content": "How many times could \nf(x)=a(x-h)^2+k\nand\ng(x)=a|x-h|+k\nintersect?",
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"content": "i need help",
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"content": "i need someone to explain it",
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"id": 1070111556647526400,
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"timestamp": "01/31/2023 17:41:16",
"content": "in a way",
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"id": 1070111582031458600,
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"timestamp": "01/31/2023 17:41:22",
"content": "that an 8th grader",
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"content": "and 9th grader",
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"timestamp": "01/31/2023 17:41:29",
"content": "could understand",
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"author_name": "Umbraleviathan",
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"content": "Well they obviously have to intersect at (h, k)",
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"content": "Set g(x) and f(x) together to get other solutions",
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"content": "@person. Has your question been resolved?",
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"content": "@person. Has your question been resolved?",
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"content": "@Helpers",
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"content": ".close",
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] | help-9 | 36af2a28d7584e1f9076d2f109c85e03 |
201,205 | [
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"content": "can someone help me with this question i dont know how to do it",
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"author_name": "DerpZ",
"timestamp": "01/31/2023 19:22:19",
"content": "first write the equation in factored form",
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"timestamp": "01/31/2023 19:22:34",
"content": "you know how to write something down in the terms of its roots",
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"timestamp": "01/31/2023 19:23:02",
"content": "like (x - a) (x-b) (x-ab)?",
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"content": "@Logn Has your question been resolved?",
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] | help-9 | 43c079bb8dbb4081958f98153c5ae142 |
201,206 | [
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"author_name": "maïque",
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"content": "Can I just get a hint on how to solve this question? I've tried so many different things altough this is very new to me so I might be missing something obvious.",
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"content": "show what you've been trying",
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"content": "its a bunch of trial and error on paper but give me a sec to take pics",
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"timestamp": "01/31/2023 20:02:56",
"content": "I'm just trying to reorganize it and see if I can see an approach or something",
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"timestamp": "01/31/2023 20:03:19",
"content": "are you explicitly requested to use induction for this?",
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"timestamp": "01/31/2023 20:03:24",
"content": "no",
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"author_name": "ramonov",
"timestamp": "01/31/2023 20:03:50",
"content": "mod just by itself is sufficient",
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"timestamp": "01/31/2023 20:04:05",
"content": "ahhhh",
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"id": 1070147517884403700,
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"author_name": "maïque",
"timestamp": "01/31/2023 20:04:10",
"content": "I've been overcomplicating it",
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"id": 1070147524142313600,
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"author_name": "maïque",
"timestamp": "01/31/2023 20:04:12",
"content": "thank you",
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"author_name": "ramonov",
"timestamp": "01/31/2023 20:04:51",
"content": "(that in combination with basic exponent laws, should only take a few steps for each case)",
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"timestamp": "01/31/2023 20:06:56",
"content": "ok... trying to think about it",
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"author_name": "maïque",
"timestamp": "01/31/2023 20:19:44",
"content": "Can I get another hint if possible? I was thinking towards maybe something like 1 being congruent to 4^n * 3 ^-n mod 7 but I feel like I'm getting nowhere",
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"author_name": "ramonov",
"timestamp": "01/31/2023 20:20:50",
"content": "consider \n$$a^{m+n} = a^m \\cdot a^n$$\nand\n$$a^{bc} = {(a^b)}^c$$",
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"id": 1070151723534012400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/31/2023 20:20:53",
"content": "**ℝamonov**",
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"timestamp": "01/31/2023 20:28:47",
"content": "$$3/4 is congruent to {16/9}^n mod 7$$",
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"timestamp": "01/31/2023 20:28:50",
"content": "**maïque**",
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"timestamp": "01/31/2023 20:28:58",
"content": "Ahh I tried it",
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"author_name": "maïque",
"timestamp": "01/31/2023 20:29:09",
"content": "Am I in the right direction?",
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"id": 1070153842295062700,
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"author_name": "ramonov",
"timestamp": "01/31/2023 20:29:18",
"content": "you should be avoiding fractions",
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"timestamp": "01/31/2023 20:29:30",
"content": "ok",
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"author_name": "maïque",
"timestamp": "01/31/2023 20:31:58",
"content": "Well it has to do with either 3(3^2)^n + 4(4^2)^n or 3(3^n)^2 + 4(4^n)^2 right?",
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"author_name": "ramonov",
"timestamp": "01/31/2023 20:32:42",
"content": "yeh, see what you can do with the first one",
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"author_name": "maïque",
"timestamp": "01/31/2023 20:37:34",
"content": "4 * 3^2n is congruent to -3 * 4^2n maybe...",
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"id": 1070156652097060900,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:40:28",
"content": "4(9^n) is congruent to -3(16^n) modulo 7...",
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"id": 1070156992427073700,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:41:49",
"content": "im wasting so many pages of my notebook lmaooo",
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},
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"id": 1070157045304672300,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:42:02",
"content": "I just want to understand this question",
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"id": 1070157809024516100,
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"author_name": "maïque",
"timestamp": "01/31/2023 20:45:04",
"content": "I just don't know",
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"author_name": "maïque",
"timestamp": "01/31/2023 20:45:14",
"content": "I feel like I'm not seeing something obvious",
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"id": 1070157954638172300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/31/2023 20:45:38",
"content": "> 3(3^2)^n + 4(4^2)^n\n3^2 = ?",
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"id": 1070157963878224000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/31/2023 20:45:41",
"content": "4^2 = ?",
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"id": 1070158003875102700,
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"author_name": "maïque",
"timestamp": "01/31/2023 20:45:50",
"content": "right here",
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"id": 1070158010988626000,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:45:52",
"content": "right?",
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"id": 1070158083105497100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/31/2023 20:46:09",
"content": "answer what i'm asking pls",
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},
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"id": 1070158110678863900,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:46:16",
"content": "9 and 16",
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},
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"id": 1070158152860975100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/31/2023 20:46:26",
"content": "and what's 9 mod 7\nand 16 mod 7",
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},
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"id": 1070158192002203600,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:46:35",
"content": "2 and 2",
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},
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"id": 1070158200034312300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/31/2023 20:46:37",
"content": "yes",
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"id": 1070158331701899300,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:47:08",
"content": "ok",
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},
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"id": 1070158336831533000,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:47:10",
"content": "I get it",
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},
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"id": 1070158412907827300,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:47:28",
"content": "as n increases, the modulo of each of them remain the same",
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"author_name": "ramonov",
"timestamp": "01/31/2023 20:48:21",
"content": "applying that\n3(3^2)^n + 4(4^2)^n (mod 7 )\n= 3 * 9^n + 4 * 16^n (mod 7)\n= 3 * 2^n + 4 * 2^n (mod 7)",
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"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:49:38",
"content": "Ok I need to process those lines but thank you",
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"id": 1070160508684079100,
"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:55:47",
"content": "this might be a stupid question, but how can I google that mod holds on x^n (mod y) = (x mod y)^n (mod y)",
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"author_id": 106920469722087420,
"author_name": "maïque",
"timestamp": "01/31/2023 20:55:58",
"content": "like what is this rule called?",
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},
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"id": 1070164331465035800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:10:59",
"content": "@maïque Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:11:41",
"content": "Channel closed",
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}
] | help-9 | 0158ad900cde4cbbb3c45300ccf8569a |
201,207 | [
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"id": 1070164762031304800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:12:41",
"content": "Available help channel!",
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},
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"timestamp": "01/31/2023 21:14:15",
"content": "Pinned a message.",
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"id": 1070165335640117200,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:14:58",
"content": "@Helpers",
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},
{
"id": 1070165633548951600,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:16:09",
"content": "!15m",
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},
{
"id": 1070165635201519600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:16:10",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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{
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"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:16:24",
"content": "also this looks like a quiz",
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},
{
"id": 1070165721990049800,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:16:30",
"content": "yeah..",
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},
{
"id": 1070165737223770100,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:16:34",
"content": "im kinda stuck",
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},
{
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:16:40",
"content": "is this a quiz?",
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},
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"id": 1070165786179686500,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:16:46",
"content": "kinda",
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},
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"author_name": "Zenoxy",
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"content": "",
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"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/31/2023 21:17:04",
"content": "bro is in class 😭",
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},
{
"id": 1070165876566933600,
"author_id": 173880141871710200,
"author_name": "Zenoxy",
"timestamp": "01/31/2023 21:17:07",
"content": "doing a quiz",
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},
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"id": 1070165918140879000,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:17:17",
"content": "..",
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{
"id": 1070166052450873300,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:17:49",
"content": "we cant help you",
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},
{
"id": 1070166114690142200,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:18:04",
"content": "oh",
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},
{
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:18:27",
"content": "Bro just open ur notes or Google it",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:18:37",
"content": "Or be smarter next time and crop it out lmao",
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"id": 1070166267077611500,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:18:40",
"content": "💀💀💀:opencry: 😂",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:18:42",
"content": "dont promote cheating",
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:18:45",
"content": "Ok fine",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:18:50",
"content": "I'm just teaching common sense tho",
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"id": 1070166353849364600,
"author_id": 1023737949730385900,
"author_name": "HoneyLemon",
"timestamp": "01/31/2023 21:19:01",
"content": ".",
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},
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:19:13",
"content": "It's the best way I can help her",
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:19:31",
"content": "But yeah just study next time",
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"id": 1070166500561915900,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:19:36",
"content": "Ask for help BEFORE ur quiz",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:19:41",
"content": "Best of luck",
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},
{
"id": 1070166577552568300,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 21:19:54",
"content": "This is cheating",
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},
{
"id": 1070166685681729500,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:20",
"content": "No it isn't",
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:29",
"content": "It's called studying if u ask for help BEFORE your quiz",
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"id": 1070166743516975100,
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:34",
"content": "Hemce why I capitalized BEFORE",
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"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:38",
"content": "💀💀💀",
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},
{
"id": 1070166762034843800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:20:38",
"content": "but they are doing a quiz",
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"id": 1070166775917977700,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:42",
"content": "Yes",
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"id": 1070166796025471000,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:46",
"content": "Ykw I feel bad",
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},
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"id": 1070166818146238600,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/31/2023 21:20:52",
"content": "derp was referring to the person occupying the help channel",
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"id": 1070166819031224300,
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"author_name": "DerpZ",
"timestamp": "01/31/2023 21:20:52",
"content": "If you ask while in a quiz it is actually cheating",
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:55",
"content": "@HoneyLemon I'm not gonna help u cheat",
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"timestamp": "01/31/2023 21:20:56",
"content": "Yeah",
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"id": 1070166838840930300,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:20:57",
"content": "But",
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},
{
"id": 1070166877285912600,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:21:06",
"content": "You know how to find the percent of smth",
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},
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"id": 1070166892947447800,
"author_id": 196556976866459650,
"author_name": "DerpZ",
"timestamp": "01/31/2023 21:21:10",
"content": "No hints are allowed either",
"attachments": [],
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},
{
"id": 1070166912371269600,
"author_id": 1013193004053438500,
"author_name": "healthy🌹",
"timestamp": "01/31/2023 21:21:14",
"content": "lol",
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},
{
"id": 1070166959137759200,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "01/31/2023 21:21:25",
"content": "Why are we entertaining this",
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},
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"id": 1070166968948240400,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "01/31/2023 21:21:28",
"content": "@moder",
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},
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"id": 1070166998870409200,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "01/31/2023 21:21:35",
"content": "@Moderators",
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},
{
"id": 1070166999239491600,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:21:35",
"content": "Bruh",
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:21:36",
"content": "Ok fine",
"attachments": [],
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},
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"id": 1070167015769264100,
"author_id": 1013193004053438500,
"author_name": "healthy🌹",
"timestamp": "01/31/2023 21:21:39",
"content": "derpz is a mod",
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"timestamp": "01/31/2023 21:21:41",
"content": "Just close the channel",
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},
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"id": 1070167064976822400,
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"author_name": "healthy🌹",
"timestamp": "01/31/2023 21:21:51",
"content": "kinda",
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},
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"id": 1070167066780377200,
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"author_name": "Zenoxy",
"timestamp": "01/31/2023 21:21:51",
"content": "they havent said anything in 2 minutes",
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},
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"id": 1070167068315488300,
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"timestamp": "01/31/2023 21:21:51",
"content": "ofc im a mod",
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"author_name": "healthy🌹",
"timestamp": "01/31/2023 21:21:52",
"content": "not really",
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},
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"id": 1070167074468532200,
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"author_name": "Zenoxy",
"timestamp": "01/31/2023 21:21:53",
"content": "who r u guys talking to",
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"author_name": "Zenoxy",
"timestamp": "01/31/2023 21:21:54",
"content": "?",
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"author_name": "DerpZ",
"timestamp": "01/31/2023 21:22:14",
"content": "Closing this channel for academic dishonesty",
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"timestamp": "01/31/2023 21:22:16",
"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | a3f6dac357a849389440d8d551c46b70 |
201,208 | [
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"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:22:19",
"content": "💯",
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"id": 1070167248158863500,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:22:34",
"content": "Btw the one piece is real",
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},
{
"id": 1070167320082788400,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:22:51",
"content": "Taiwan beats Isreal",
"attachments": [],
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},
{
"id": 1070167352156639200,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:22:59",
"content": "💀💀💀:opencry:",
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},
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"id": 1070167372440293500,
"author_id": 306574358262841340,
"author_name": "Ruler Jowo",
"timestamp": "01/31/2023 21:23:04",
"content": ":opencry: :opencry: :opencry: :opencry: :opencry: :opencry:",
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"id": 1070168698612089000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:28:20",
"content": "Available help channel!",
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},
{
"id": 1070170102680527000,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:33:55",
"content": "Is the answer 2? I’m assuming this bc the whole function is increasing and a line through zero would show that kind of trajectory?",
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"timestamp": "01/31/2023 21:33:55",
"content": "Pinned a message.",
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"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:34:01",
"content": "I’m not entirely sure",
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"id": 1070170329101635700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "01/31/2023 21:34:49",
"content": "looks about right",
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"id": 1070170360831545300,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:34:56",
"content": "Is the rationale correct?",
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},
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"id": 1070170417047814100,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "01/31/2023 21:35:10",
"content": "can't be negative, is greater than 1, yeah",
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"id": 1070170585839194100,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:35:50",
"content": "It’s greater than 1 bc the Y value at x = 1 is greater than 1?",
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"id": 1070170690537402400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "01/31/2023 21:36:15",
"content": "it's greater than 1 because it has a steeper slope than the function y=x",
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"id": 1070170723580137500,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:36:23",
"content": "Right",
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},
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"id": 1070170745017225300,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:36:28",
"content": "Can I ask one more?",
"attachments": [],
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},
{
"id": 1070170755544912000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "01/31/2023 21:36:30",
"content": "go for it",
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"id": 1070171000924287000,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:37:29",
"content": "For question 4, I’m a bit confused",
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"id": 1070171074492366800,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:37:46",
"content": "Do I treat f(x) as a straight line like X+13?",
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},
{
"id": 1070171104116740200,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:37:54",
"content": "The answer would then be zero",
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},
{
"id": 1070171224153526300,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:38:22",
"content": "Reading this over, my thought doesn’t make sense lol",
"attachments": [],
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},
{
"id": 1070171372191481900,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:38:57",
"content": "There would be a horizontal line at 14",
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},
{
"id": 1070171450754990100,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:39:16",
"content": "Which means a slope of zero. Then the derivative would have to be zero?",
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{
"id": 1070171517587042400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "01/31/2023 21:39:32",
"content": "yep",
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"id": 1070171560826130600,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:39:42",
"content": "Ok sorry for wasting your time there",
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},
{
"id": 1070171574411477000,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:39:46",
"content": "Appreciate the help",
"attachments": [],
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},
{
"id": 1070171594518974600,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:39:50",
"content": ".closs",
"attachments": [],
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},
{
"id": 1070171610096599200,
"author_id": 424350807903961100,
"author_name": "SteelCurtain322",
"timestamp": "01/31/2023 21:39:54",
"content": ".close",
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},
{
"id": 1070171612403470500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:39:55",
"content": "Channel closed",
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] | help-9 | 098f8bd57fd24cbf8bbb5fb07dcad699 |
201,209 | [
{
"id": 1070172632944738300,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 21:43:58",
"content": "Available help channel!",
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},
{
"id": 1070173664785481700,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:48:04",
"content": "Suppose you have 66 fruits that are the same flavor and 88 (distinguishable) students. How many ways can you distribute the fruit to the students?",
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"timestamp": "01/31/2023 21:48:05",
"content": "Pinned a message.",
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"id": 1070173892720742500,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:48:58",
"content": "I think the answer is 88C66, but someone said to use stars + bars for 153C87...",
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},
{
"id": 1070173911020486800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:49:03",
"content": "doesn't make sense to me personally 😐",
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},
{
"id": 1070175979265343500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:57:16",
"content": "this is stars and bars yes",
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},
{
"id": 1070176089839784100,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:57:42",
"content": "the distinguishable factor here is students, so those are your \"bars\"",
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},
{
"id": 1070176105593589800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:57:46",
"content": "your \"stars\" are your fruits",
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},
{
"id": 1070176147012341900,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:57:56",
"content": "and there should be 87 bars indeed",
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},
{
"id": 1070176210295996500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:58:11",
"content": "where are you getting 88C66 from?",
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"id": 1070176356626858000,
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"timestamp": "01/31/2023 21:58:46",
"content": "hm",
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"id": 1070176371940278300,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:58:49",
"content": "i always thought stars and bars",
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{
"id": 1070176424192901100,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:59:02",
"content": "was of the form x1 + x2 + ... + xn = k",
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},
{
"id": 1070176432283725800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:59:04",
"content": "i just thought",
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"id": 1070176493004660700,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:59:18",
"content": "we were choosing 66 fruits",
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{
"id": 1070176524197691500,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:59:26",
"content": "for 88 ppl",
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},
{
"id": 1070176550118490200,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 21:59:32",
"content": "so 88 choose 6..",
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"id": 1070176619240624300,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:59:48",
"content": "88 choose 66 doesnt mean \"choose 66 things for 88 other things\"",
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},
{
"id": 1070176635736830000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 21:59:52",
"content": "it means \"out of 88 things, choose 66\"",
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},
{
"id": 1070176704296927200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:00:09",
"content": "fruits and students are 2 separate categories here",
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{
"id": 1070176751801606100,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:00:20",
"content": "ugh, thats so stupid of me🤦♂️",
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{
"id": 1070176808558927900,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:00:34",
"content": "is there a way to rewrite this as a sum of x_i?",
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},
{
"id": 1070177313284702300,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:02:34",
"content": "yes, see <https://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)#Proofs_by_generating_functions>",
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"id": 1070177376035672000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:02:49",
"content": "at least if i'm understanding the question correctly",
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{
"id": 1070177389264523400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:02:52",
"content": "(might be misunderstanding what you mean)",
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},
{
"id": 1070177608932806700,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:03:44",
"content": "well, basically, i mean, if you want the number of solutions to x_1 + x_2 + x_3 = 100, where x_i >= 0, you use stars and bars to get the answer there",
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{
"id": 1070177621813498000,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:03:47",
"content": "and im wondering if",
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{
"id": 1070177647071600600,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:03:54",
"content": "any sol of stars and bars",
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},
{
"id": 1070177661252546600,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:03:57",
"content": "can be turned analogously",
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{
"id": 1070177664121450500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:03:58",
"content": "oh",
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{
"id": 1070177669729226800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:03:59",
"content": "into some form of that",
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},
{
"id": 1070177674909204500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:04:00",
"content": "yes",
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"id": 1070177734875152400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:04:14",
"content": "here each x_i is the number of fruits possessed by student i",
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{
"id": 1070177766512803800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:04:22",
"content": "so you have a sum x₁ + x₂ + ... + x₈₈ = 66",
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"id": 1070177805377216500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:04:31",
"content": "where each xᵢ is ≥0",
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{
"id": 1070177910025101400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:04:56",
"content": "(and many xᵢ will be equal to 0, since theres more students than fruit)",
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},
{
"id": 1070178259578409100,
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"author_name": "drange",
"timestamp": "01/31/2023 22:06:20",
"content": "that makes sense, thank you!",
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{
"id": 1070178543411138700,
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"author_name": "drange",
"timestamp": "01/31/2023 22:07:27",
"content": "if we change the problem so you suppose the 66 fruits are also distinct, alongside the 88 unique students, would it be something like 88^66 in that case?",
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{
"id": 1070178567310299100,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:07:33",
"content": "trying to make sure i understand",
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{
"id": 1070178576990732400,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:07:35",
"content": "distinguishability here",
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},
{
"id": 1070178719932620800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:08:09",
"content": "right",
"attachments": [],
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},
{
"id": 1070178758671212700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:08:19",
"content": "each fruit has 88 possibilities of where it goes, and theres 66 fruit total",
"attachments": [],
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},
{
"id": 1070178782268371000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:08:24",
"content": "so 88 * 88 * 88 * ... * 88 [66 times]",
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},
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"id": 1070179675831291900,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:11:57",
"content": "okay great",
"attachments": [],
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},
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"id": 1070179719502385200,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:12:08",
"content": "okay, now something i sort of dont understand is *indistinguishability*",
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},
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"id": 1070179742772379800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:12:13",
"content": "say both the students and the fruit are indistinguishable",
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"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:12:17",
"content": "then there's only 1 way",
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"author_name": "drange",
"timestamp": "01/31/2023 22:12:19",
"content": "to actually give it out",
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"id": 1070179807536631800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:12:29",
"content": "but...that doesnt feel right",
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"author_name": "drange",
"timestamp": "01/31/2023 22:12:31",
"content": "i mean",
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"id": 1070179917054087200,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:12:55",
"content": "like...okay they're \"indistinguishable\" but they're not *truly* the same...?",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:13:24",
"content": "\"distinguishable\" means \"if we swap two of them, it's possible that creates a 'different' entry in our 'count'\"",
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"id": 1070180098919125100,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:13:38",
"content": "so for example, lets say we have two people and three fruit",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:13:46",
"content": "the following are both possible entries:",
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"id": 1070180173812617300,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:13:56",
"content": "A: two fruit, B: one fruit\nA: one fruit, B: two fruit",
"attachments": [],
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{
"id": 1070180238035787800,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:14:11",
"content": "if our people A and B are considered to be distinguishable, then these are two separate entries in our \"count\"",
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{
"id": 1070180265734963300,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:14:18",
"content": "but if they ARENT distinguishable, then these are the \"same\" entry",
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"author_name": "drange",
"timestamp": "01/31/2023 22:14:32",
"content": "ooh thats a nice way to define it",
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"author_name": "drange",
"timestamp": "01/31/2023 22:14:36",
"content": "makes much more conceptual sense",
"attachments": [],
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{
"id": 1070180356973658100,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:14:40",
"content": "in this toy example with two people, the nondistinguishable case has twice as many entries as the distinguishable case",
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"id": 1070180572971929600,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:15:31",
"content": "anyway, if both the fruit and students are indistinguishable, then this just becomes an elementary counting problem in the sense that",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:15:40",
"content": "you have 88+66 total things",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:15:48",
"content": "i.e. 154",
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{
"id": 1070180687740665900,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:15:58",
"content": "but the \"orderings\" of 66 of them and of 88 of them dont matter",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:16:28",
"content": "er oops",
"attachments": [],
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{
"id": 1070180846822240300,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:16:36",
"content": "that explanation is probably skipping a few steps",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:16:37",
"content": "lmao",
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{
"id": 1070180948458602600,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:17:01",
"content": "like the idea is we can still view this as stars-and-bars but",
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{
"id": 1070180979316097200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:17:08",
"content": "now its much easier to do the counting",
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{
"id": 1070181131372208300,
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"author_name": "drange",
"timestamp": "01/31/2023 22:17:44",
"content": "yeah no",
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{
"id": 1070181134824120300,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:17:45",
"content": "that makes",
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"id": 1070181141589524500,
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"author_name": "drange",
"timestamp": "01/31/2023 22:17:47",
"content": "total sense",
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"id": 1070181299597357000,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:18:24",
"content": "well i guess i should be saying 87, not 88",
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"id": 1070181492497596400,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:19:10",
"content": "kind of a weird case to be considering in general though since the numbers get VERY large",
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"id": 1070181625469612200,
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"author_name": "drange",
"timestamp": "01/31/2023 22:19:42",
"content": "okay let me see if i understand stars and bars w/ a sample problem prof gave.\n\nThere are 5 fruits: strawberry, kiwi, apples, bananas, cherries. You take `x` fruits. How many different flavor outcomes are possible? Order doesn't matter, so if x=3, then {kiwi, apple, banana} = {apple, kiwi, banana}.\n\nin this case, stars and bars would just be (x + 4) choose (4) right? we separate the `x` fruits into 5 categories",
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"id": 1070181843091071000,
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"author_name": "drange",
"timestamp": "01/31/2023 22:20:34",
"content": "which is the same as solving x_1 + x_2 + x_3 + x_4 + x_5 = x, x>=0?",
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{
"id": 1070182184389984300,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:21:55",
"content": "this does not seem like a stars and bars problem",
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{
"id": 1070182226324635800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:22:05",
"content": "youre choosing 3 fruits out of 5 possibilities",
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{
"id": 1070182256850772100,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:22:13",
"content": "there arent separate \"stars\" and \"bars\" here",
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{
"id": 1070182321271099500,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:22:28",
"content": "this should just be a simple 5 choose 3 [or more generally, 5 choose x]",
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{
"id": 1070182335921791100,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:22:31",
"content": "unless im misunderstanding you",
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{
"id": 1070182657318731800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:23:48",
"content": "I thought you could consider the `x` fruit before they can be distinguished and then putting in 5-1=4 bars between them to separate the fruit into 5 distinct categories, so then you can see how many different ways you can arrange the 4 bars throughout the `x` fruit which reveals all the different possible way to split up `x` fruits into 5 categories",
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"id": 1070182660313456800,
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"author_name": "drange",
"timestamp": "01/31/2023 22:23:49",
"content": "err",
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"id": 1070182675048038400,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:23:52",
"content": "idk if that makes sense",
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{
"id": 1070182696137015300,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:23:57",
"content": "i think your answer makes more intuitive sense actually",
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{
"id": 1070182802169024500,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:24:23",
"content": "idk why i thought this way made sense now :\\\\... lol",
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{
"id": 1070182953205891100,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:24:59",
"content": "the fruits can be distinguished here",
"attachments": [],
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{
"id": 1070182996377882800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:25:09",
"content": "if i have {kiwi, apple, strawberry} and i replace \"strawberry\" with \"banana\"",
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"id": 1070183010126790700,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:25:12",
"content": "thats a separate entry",
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{
"id": 1070183022244147300,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:25:15",
"content": "that i need to count separately",
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{
"id": 1070183080305905700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:25:29",
"content": "\"before they can be distinguished\" doesnt make sense to me",
"attachments": [],
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{
"id": 1070183173192953900,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:25:51",
"content": "also i think youre confusing solving an individual x₁ + x₂ + ... + xₙ = x problem with counting the number of solutions",
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{
"id": 1070183231741235200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:26:05",
"content": "each \"arrangement\" of stars and bars should represent ONE \"entry\" in your count",
"attachments": [],
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{
"id": 1070183273524900000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:26:15",
"content": "and youre counting the total number of such entries (i.e. the orderings of stars and bars)",
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{
"id": 1070183380068618400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:26:40",
"content": "for this problem, \"all the different possible way to split up x fruits into 5 categories\" shouldn't manifest as a part of an entry that you are counting",
"attachments": [],
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{
"id": 1070183415510478800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:26:49",
"content": "the only info an entry has is the fruit it contains",
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{
"id": 1070183438767886500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:26:54",
"content": "nothing more, nothing less",
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{
"id": 1070183520808468600,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:27:14",
"content": "(i'm saying \"entry\", but combinatorics people usually say something like \"sample\" or \"instance\")",
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"id": 1070183802246287400,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:28:21",
"content": "yeah i was confounding them",
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{
"id": 1070184048753909800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:29:20",
"content": "Oh wait",
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{
"id": 1070184122879856600,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:29:37",
"content": "Okay, the thing is, the way this is worded",
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"id": 1070184197618143400,
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"author_name": "drange",
"timestamp": "01/31/2023 22:29:55",
"content": "makes me assume you can actually select 10 `fruits`, like {banana, banana, banana, kiwi, kiwi, apple, apple, ...} etc",
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{
"id": 1070184250533490800,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:30:08",
"content": "oh, i see",
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{
"id": 1070184251951173800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:30:08",
"content": "but in that case, there is no way to do 5 choose 10",
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{
"id": 1070184287460139100,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:30:17",
"content": "i thought that there was only one of each type of fruit",
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{
"id": 1070184296784085000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:30:19",
"content": "misunderstood",
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{
"id": 1070184455270051800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:30:57",
"content": "okay, so let's step back and think of how to view this \"correct\" version of the problem",
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"id": 1070184477801853000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:31:02",
"content": "we have x amount of fruit",
"attachments": [],
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},
{
"id": 1070184565345366000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:31:23",
"content": "each fruit can take 5 possibilities",
"attachments": [],
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},
{
"id": 1070184612896194700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:31:34",
"content": "something like {banana, banana, banana, banana, banana} is possible for instance",
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},
{
"id": 1070184644579967000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:31:42",
"content": "now at first blush its tempting to say 5^x",
"attachments": [],
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{
"id": 1070184651592827000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:31:44",
"content": "but theres a problem",
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{
"id": 1070184769582809200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:32:12",
"content": "{banana, kiwi} and {kiwi, banana} need to be the same entry",
"attachments": [],
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},
{
"id": 1070184813476196500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:32:22",
"content": "since order doesnt matter",
"attachments": [],
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{
"id": 1070184842312040600,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:32:29",
"content": "but 5^x treats them as separate",
"attachments": [],
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{
"id": 1070184871823167500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:32:36",
"content": "so indeed, we do have to be more clever",
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{
"id": 1070184894132658200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:32:41",
"content": "and you CAN now view this as stars and bars",
"attachments": [],
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{
"id": 1070184962353012700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:32:58",
"content": "we have 4 distinguishable bars and some number x of indistinguishable fruits",
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{
"id": 1070185054598336500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:33:20",
"content": "(the 4 comes from there being 5 categories, thus 4 ways to separate them)",
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{
"id": 1070185212274819200,
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"author_name": "drange",
"timestamp": "01/31/2023 22:33:57",
"content": "that makes sense! yay :happy:",
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{
"id": 1070185263231422500,
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"author_name": "drange",
"timestamp": "01/31/2023 22:34:09",
"content": "tysm for the help, wow",
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{
"id": 1070185302796279800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:34:19",
"content": "and then we do get (x + 5 - 1) choose (5 -1) ways to order this",
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"id": 1070185327874035700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:34:25",
"content": "which is what you said, x + 4 choose 4",
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"id": 1070185340498882700,
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"author_name": "Namington",
"timestamp": "01/31/2023 22:34:28",
"content": "i just misunderstood the question",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:35:21",
"content": "do you understand visually where this formula comes from btw?",
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"author_name": "drange",
"timestamp": "01/31/2023 22:36:41",
"content": "i can sort of see the arrangement but",
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"author_name": "drange",
"timestamp": "01/31/2023 22:36:45",
"content": "i cant really derive it",
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"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:36:51",
"content": "so im inclined to say no",
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"id": 1070185961322983400,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:36:56",
"content": "which is why i always try to rewrite it",
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"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:36:57",
"content": "in terms of a sum",
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"id": 1070186066792951900,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:37:21",
"content": "so the idea is",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:37:33",
"content": "i'm gonna take x = 7 for this example",
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"author_name": "Namington",
"timestamp": "01/31/2023 22:37:45",
"content": "we have x fruits, which i'll denote by *, that we're sorting into 5 categories",
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{
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"author_name": "Namington",
"timestamp": "01/31/2023 22:38:00",
"content": "since order doesnt matter, its safe to just separate the categories by drawing 5 separate \"buckets\"",
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{
"id": 1070186267293262000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:38:09",
"content": "so a possible way to write this is",
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{
"id": 1070186326365835400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:38:23",
"content": "`***||*|*|**`",
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{
"id": 1070186373937643500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:38:34",
"content": "here, the first category has 3 fruits, the second has 0, the third has 1, the fourth has 1, the fifth has 2",
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"id": 1070186419445833700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:38:45",
"content": "it doesnt matter what type of fruit the \"first category\" is as long as its consistent",
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"id": 1070186436621504500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:38:49",
"content": "maybe its bananas, whatever",
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"id": 1070186520406929500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:39:09",
"content": "now note that we can change the distribution by \"moving\" the bars around",
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{
"id": 1070186537351925900,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:39:13",
"content": "like if i move the first bar 1 to the left",
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},
{
"id": 1070186572139467000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:39:21",
"content": "`**|*|*|*|**`",
"attachments": [],
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},
{
"id": 1070186614300627000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:39:31",
"content": "now the first category has 2 fruits and the second has 1",
"attachments": [],
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{
"id": 1070186672655978600,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:39:45",
"content": "this is also a valid solution to the problem (and indeed, any amount of \"moving\" bars will produce a valid solution)",
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"id": 1070186733725036700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:40:00",
"content": "so since we can \"arrange\" the bars and stars in any way to produce a valid collection here",
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"id": 1070186800758407200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:40:16",
"content": "this actually becomes a counting problem on the number of ways to arrange them",
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"id": 1070186848242127000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:40:27",
"content": "there are 7 + 4 \"spaces\"",
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"id": 1070186876050346000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:40:34",
"content": "because theres 7 fruit and 4 bars",
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{
"id": 1070186883625275400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:40:36",
"content": "so 7 + 4 total",
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{
"id": 1070186936532217900,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:40:48",
"content": "(4 bars because we have 5 categories, but you only need 4 bars, not 5, to separate 5 categories)",
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{
"id": 1070186984234045400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:00",
"content": "and in those 7+4 \"spaces\", we need to place 4 bars",
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{
"id": 1070187012709159000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:06",
"content": "in other words, we need to CHOOSE 4 spaces that get bars",
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"id": 1070187027712180200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:10",
"content": "hence, 7 + 4 choose 4",
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{
"id": 1070187051066077200,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:16",
"content": "replace \"7\" with \"x\" in my explanation and it still wroks",
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"id": 1070187089980833900,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:41:25",
"content": "OH",
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"id": 1070187108792270800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:29",
"content": "footnote: you might notice that, instead of choosing 4 spaces to get bars, we could've chosen 7 spaces to get stars",
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{
"id": 1070187117906509800,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:32",
"content": "that would work as well",
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{
"id": 1070187118527254500,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:41:32",
"content": "thats clean actually",
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},
{
"id": 1070187136579539000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:36",
"content": "since 11 choose 4 = 11 choose 7",
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{
"id": 1070187157718827100,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/31/2023 22:41:41",
"content": "indeed, this is one way to prove that fact lmao",
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{
"id": 1070187243827888300,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:02",
"content": "oh yeah since exhausting one way has to exhaust the other",
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"id": 1070187247896367100,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:03",
"content": "okay",
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"id": 1070187285573812400,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:11",
"content": "thats actually so clean, i didnt think of it as moving the bars around",
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},
{
"id": 1070187294587363500,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:14",
"content": "i dont know why",
"attachments": [],
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},
{
"id": 1070187302703349800,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:16",
"content": "i was thinking of moving",
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"id": 1070187308327895000,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:17",
"content": "the stars around",
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"id": 1070187390003585000,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:36",
"content": "but shifting the placement of the bars makes it click, i dont know",
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"id": 1070187403836395600,
"author_id": 1055362047900131500,
"author_name": "drange",
"timestamp": "01/31/2023 22:42:40",
"content": "even tho its actually analogous",
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"id": 1070189191381651600,
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"author_name": "drange",
"timestamp": "01/31/2023 22:49:46",
"content": ".close",
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"id": 1070189194737107100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 22:49:47",
"content": "Channel closed",
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] | help-9 | b4fc5258c7eb42058af8093af162aa52 |
201,210 | [
{
"id": 1036709466009260000,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 14:33:17",
"content": "Available help channel!",
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{
"id": 1036710292123553800,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:36:34",
"content": "i get that n^n grows quicker than n! as n goes to inf",
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"timestamp": "10/31/2022 14:36:35",
"content": "Pinned a message.",
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"id": 1036710371362341000,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:36:53",
"content": "but why does that give the intution that its going to converge",
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"id": 1036710414723072100,
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"timestamp": "10/31/2022 14:37:04",
"content": "i dont quite see it, can someone dumb it down for me",
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{
"id": 1036710895465812000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "10/31/2022 14:38:58",
"content": "do you know ratio test",
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"id": 1036711328401854600,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:40:41",
"content": "sort of need to practice more but im supposed to use comparison test for this problem",
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{
"id": 1036711560413991000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "10/31/2022 14:41:37",
"content": "does it tell you what to compare it to?",
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{
"id": 1036711761467941000,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:42:25",
"content": "it just says determine whether series is convergent",
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"id": 1036711796561694700,
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"timestamp": "10/31/2022 14:42:33",
"content": "the problem in vid is the exact same",
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{
"id": 1036711845475664000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "10/31/2022 14:42:45",
"content": "then why are you supposed to use comparison test?",
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{
"id": 1036711977503969300,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:43:16",
"content": "well im told to use it for certain problems to practice",
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{
"id": 1036712184748724400,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:44:06",
"content": "would that fraction tends toward zero as n^n grows quciker than n!",
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"id": 1036712206387134500,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:44:11",
"content": "hence we expect it to converge (i might be completly wrong)",
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"id": 1036712261164748900,
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"author_name": "riemann",
"timestamp": "10/31/2022 14:44:24",
"content": "that's correct but not enough to prove it",
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"id": 1036712327032098800,
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"author_name": "DISS",
"timestamp": "10/31/2022 14:44:39",
"content": "thats all i needed i understand the 2nd half of video",
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"id": 1036712329305399300,
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"timestamp": "10/31/2022 14:44:40",
"content": "plug in n=3, 4, 5 to see for yourself that individual terms are shrinking",
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"id": 1036712378202603500,
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"timestamp": "10/31/2022 14:44:52",
"content": "got it",
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"id": 1036712429419237400,
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"author_name": "DISS",
"timestamp": "10/31/2022 14:45:04",
"content": "thanks",
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"id": 1036712439590420500,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 14:45:06",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 14:45:08",
"content": "Channel closed",
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}
] | help-9 | 4a3b85ea2aef4b248880c70a5ba878d3 |
201,211 | [
{
"id": 1070191849039474800,
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"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 23:00:20",
"content": "Available help channel!",
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},
{
"id": 1070192576805732500,
"author_id": 606397901765214200,
"author_name": "klu",
"timestamp": "01/31/2023 23:03:13",
"content": "Can someone solve the lengths for me?",
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},
{
"id": 1070192579397820400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/31/2023 23:03:14",
"content": "Pinned a message.",
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"content": "",
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"id": 1070192977680543900,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/31/2023 23:04:49",
"content": "We won’t do your work for you",
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},
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"id": 1070193006721900500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/31/2023 23:04:56",
"content": "but you want to use distance formula",
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},
{
"id": 1070193032646893700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/31/2023 23:05:02",
"content": "and it’ll be pretty easy",
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{
"id": 1070193082596872300,
"author_id": 606397901765214200,
"author_name": "klu",
"timestamp": "01/31/2023 23:05:14",
"content": "can you guide me through it?",
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"timestamp": "01/31/2023 23:05:28",
"content": "and is the slopes correct?",
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"author_name": "Kihei",
"timestamp": "01/31/2023 23:05:34",
"content": "do you know of the distance formula?",
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"content": "yeah",
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"content": "looks right to me",
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"timestamp": "01/31/2023 23:06:29",
"content": "for the lengths they are using the Pythagorean theorem though",
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"content": "yep",
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"timestamp": "01/31/2023 23:06:58",
"content": "the distance formula is essentially Pythagorean theorem",
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"timestamp": "01/31/2023 23:07:06",
"content": "oh ok",
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"timestamp": "01/31/2023 23:07:21",
"content": "so the formula for wx",
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"timestamp": "01/31/2023 23:08:21",
"content": "would be what?",
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"id": 1070194278967554000,
"author_id": 606397901765214200,
"author_name": "klu",
"timestamp": "01/31/2023 23:09:59",
"content": "sq root of 4^2 + 4^2?",
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"timestamp": "01/31/2023 23:10:20",
"content": "yup",
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"timestamp": "01/31/2023 23:10:29",
"content": "so 4?",
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"author_name": "klu",
"timestamp": "01/31/2023 23:10:36",
"content": "is the length of wx",
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"author_name": "klu",
"timestamp": "01/31/2023 23:10:45",
"content": "wait nvm",
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"timestamp": "01/31/2023 23:10:47",
"content": "what",
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"timestamp": "01/31/2023 23:10:59",
"content": "sqrt(4^2 + 4^2) = sqrt(16 + 16)",
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"timestamp": "01/31/2023 23:11:32",
"content": "4 sq root 2",
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"timestamp": "01/31/2023 23:11:53",
"content": "yep",
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"id": 1070194998693335200,
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"timestamp": "01/31/2023 23:12:50",
"content": "And the length of xy",
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"author_name": "klu",
"timestamp": "01/31/2023 23:13:02",
"content": "sq root 41?",
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"id": 1070195268483551400,
"author_id": 208786054721830900,
"author_name": "Aidan",
"timestamp": "01/31/2023 23:13:55",
"content": "I think sqrt34.",
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"author_name": "klu",
"timestamp": "01/31/2023 23:14:19",
"content": "oh",
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"timestamp": "01/31/2023 23:14:49",
"content": "yeah it is",
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"timestamp": "01/31/2023 23:14:50",
"content": "nvm",
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"timestamp": "01/31/2023 23:15:02",
"content": "and yw?",
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"id": 1070195567961063400,
"author_id": 208786054721830900,
"author_name": "Aidan",
"timestamp": "01/31/2023 23:15:06",
"content": "sqrt 50",
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"author_id": 606397901765214200,
"author_name": "klu",
"timestamp": "01/31/2023 23:15:06",
"content": "Is 7 right?",
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"id": 1070195610789105800,
"author_id": 606397901765214200,
"author_name": "klu",
"timestamp": "01/31/2023 23:15:16",
"content": "o",
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"id": 1070195735074721800,
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"author_name": "klu",
"timestamp": "01/31/2023 23:15:46",
"content": "wouldn’t it be (7)^2 and (1)^2?",
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"timestamp": "01/31/2023 23:15:53",
"content": "sq root",
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"author_name": "Aidan",
"timestamp": "01/31/2023 23:16:02",
"content": "distance : sqrt((x2-x1)^2 + (y2-y1)^2)",
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"timestamp": "01/31/2023 23:16:16",
"content": "sqrt ( 1 + 49)",
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"timestamp": "01/31/2023 23:16:24",
"content": "ohhh",
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"timestamp": "01/31/2023 23:16:25",
"content": "yeah",
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"id": 1070195920471326700,
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"timestamp": "01/31/2023 23:16:30",
"content": "ty",
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"id": 1070195941996515500,
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"author_name": "klu",
"timestamp": "01/31/2023 23:16:35",
"content": "and what is the triangle",
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"timestamp": "01/31/2023 23:18:22",
"content": "?",
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"timestamp": "01/31/2023 23:18:33",
"content": "scalene",
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"timestamp": "01/31/2023 23:18:36",
"content": "and not right",
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"timestamp": "01/31/2023 23:21:20",
"content": "I got it",
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"content": "ty guys",
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"timestamp": "01/31/2023 23:36:32",
"content": "@klu Has your question been resolved?",
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"author_id": 1066023854830518300,
"author_name": "Frozen City.",
"timestamp": "01/31/2023 23:42:47",
"content": "what is the ratio of 3:12",
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"content": "I need 2 answers",
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] | help-9 | a149542485be4517a63eb6c114eb7c14 |
201,212 | [
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"content": "i got the derivative correct but my textbook only puts 0 and 4 as the critical points",
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"content": "why would -5 not be a critical point here?",
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"content": "[5,5]",
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"content": "[-5,5]*",
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"content": "are the ends of the domain unable to be critical points?",
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"content": "No, they can",
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"content": "If it fits the definition of a critical point",
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"content": "https://tutorial.math.lamar.edu/classes/calci/criticalpoints.aspx",
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"content": "how would -5 not be a critical point then",
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"timestamp": "02/01/2023 00:17:54",
"content": "thats a helpful resource you linked but it doesnt answer my question",
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"timestamp": "02/01/2023 00:19:29",
"content": "Oh hmm",
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"timestamp": "02/01/2023 00:19:38",
"content": "Can you show the original question. Screenshot or picture",
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"content": "Instructions",
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"content": "find the cirtical points",
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"content": "thats all",
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"content": "nothing else",
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"content": "this is the derivative",
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"author_name": "gabe",
"timestamp": "02/01/2023 00:20:55",
"content": "i solved for 5x^2+20x=0 and i got x=0,4",
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"timestamp": "02/01/2023 00:21:01",
"content": "then i solved the bottom portion and got x=-5",
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"timestamp": "02/01/2023 00:21:05",
"content": "so that would make 3 critical points",
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"id": 1070212194119209000,
"author_id": 305935471513567200,
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"timestamp": "02/01/2023 00:21:10",
"content": "but my book's answer key only lists 0 and 4",
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"id": 1070212516707319900,
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"author_name": "gabe",
"timestamp": "02/01/2023 00:22:27",
"content": "@riemann",
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"id": 1070212584604700700,
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"author_name": "riemann",
"timestamp": "02/01/2023 00:22:43",
"content": "Show this",
"attachments": [],
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},
{
"id": 1070212686626955400,
"author_id": 305935471513567200,
"author_name": "gabe",
"timestamp": "02/01/2023 00:23:08",
"content": "the instructions are to find the critical points",
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"id": 1070212690766725200,
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"author_name": "gabe",
"timestamp": "02/01/2023 00:23:09",
"content": "thats all",
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"timestamp": "02/01/2023 00:23:23",
"content": "",
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"id": 1070213276476117100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "02/01/2023 00:25:28",
"content": "And the answer sheet?",
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{
"id": 1070213320059142100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "02/01/2023 00:25:39",
"content": "Lists this",
"attachments": [],
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"id": 1070213509356474500,
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"author_name": "gabe",
"timestamp": "02/01/2023 00:26:24",
"content": "@riemann",
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"id": 1070213858075099100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "02/01/2023 00:27:47",
"content": "Yea that's an error in the book",
"attachments": [],
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"id": 1070213902765408300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "02/01/2023 00:27:58",
"content": ",w critical points x^2 sqrt(x+5)",
"attachments": [],
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},
{
"id": 1070213913603489900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/01/2023 00:28:00",
"content": "Results provided by WolframAlpha",
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"id": 1070213976501276700,
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"author_name": "gabe",
"timestamp": "02/01/2023 00:28:15",
"content": "oh wow really",
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"id": 1070214099729920000,
"author_id": 305935471513567200,
"author_name": "gabe",
"timestamp": "02/01/2023 00:28:44",
"content": "so as long as f'(x)=0 its a critical point?",
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"id": 1070214254239694800,
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"author_name": "riemann",
"timestamp": "02/01/2023 00:29:21",
"content": "That's what the link says",
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"id": 1070217875673063400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 00:43:45",
"content": "@gabe Has your question been resolved?",
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"timestamp": "02/01/2023 00:58:45",
"content": "Channel closed",
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}
] | help-9 | f19cd17a28194a88be8e277f9a9bcb14 |
201,213 | [
{
"id": 1070224357718229000,
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 01:09:30",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1070224821880881200,
"author_id": 771216630428336100,
"author_name": "CohesiveCave",
"timestamp": "02/01/2023 01:11:21",
"content": "let a = 0,0 b=8,0 and c=x,x find x given that bc = 7",
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},
{
"id": 1070224823814455400,
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"content": "Pinned a message.",
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"author_name": "CohesiveCave",
"timestamp": "02/01/2023 01:16:55",
"content": "Hello",
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},
{
"id": 1070228983217655900,
"author_id": 771216630428336100,
"author_name": "CohesiveCave",
"timestamp": "02/01/2023 01:27:53",
"content": "@Helpers",
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{
"id": 1070229842827694100,
"author_id": 771216630428336100,
"author_name": "CohesiveCave",
"timestamp": "02/01/2023 01:31:18",
"content": "@Helpers",
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{
"id": 1070232107324031000,
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"author_name": "CohesiveCave",
"timestamp": "02/01/2023 01:40:18",
"content": "@Moderators",
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 01:55:18",
"content": "@CohesiveCave Has your question been resolved?",
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"timestamp": "02/01/2023 02:00:29",
"content": "Hmm",
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"id": 1070237308315516900,
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"author_name": "VulcanOne",
"timestamp": "02/01/2023 02:00:58",
"content": "You pinged helpers twice and then pinged the mods",
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"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "02/01/2023 02:01:00",
"content": ":thinkspin:",
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"content": "Channel closed",
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}
] | help-9 | 49a06aafb0614723817dbdbbf102c393 |
201,214 | [
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"content": "Available help channel!",
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"author_id": 328198185795190800,
"author_name": "Leonard17",
"timestamp": "02/01/2023 02:29:35",
"content": "Can someone help me to understand why I should start from the left side when I want to calculate the lower sums, whilst in every other istance it starts from the right side of the graph. Is is because you start with the lowest y value? https://gyazo.com/ed357107f98bae386b1bff28ac78b570",
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"content": "Pinned a message.",
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"content": "@Leonard17 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | c1f93ef4d99d44c4a95b452b52738ac0 |
201,215 | [
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"content": "Available help channel!",
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},
{
"id": 1070255166567235600,
"author_id": 220634889576382460,
"author_name": "Makogan",
"timestamp": "02/01/2023 03:11:56",
"content": "I am trying to understand what I need to do. I have been going to class but I don;t understand what's going on and my notes are a mess.\n\nOne thing I know I am supposed to do is fill in the values of the matrix K and M. I am not sure where to find a resource that states their definition. I.e. I want to read a text with an explicit formulation for K and M.\n\nAdditionally, I am not understanding 100% what the actual question is. Whcih eigenvalue am I computing? is it the eigen value of (K-\\lambdaM) ? or just K or just M? I am a little lost here.",
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"content": "Pinned a message.",
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"timestamp": "02/01/2023 03:26:56",
"content": "@Makogan Has your question been resolved?",
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"timestamp": "02/01/2023 03:57:29",
"content": "@Makogan Has your question been resolved?",
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"timestamp": "02/01/2023 05:04:56",
"content": "@Makogan Has your question been resolved?",
"attachments": [],
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"timestamp": "02/01/2023 06:04:56",
"content": "Channel closed",
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] | help-9 | fe331510d8e34b2ba4553006e628c7f9 |
201,216 | [
{
"id": 1070298958175420400,
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 06:05:56",
"content": "Available help channel!",
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},
{
"id": 1070299501165817900,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:08:06",
"content": "How do u solve for x and t",
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"timestamp": "02/01/2023 06:08:07",
"content": "Pinned a message.",
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"id": 1070299512020676600,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:08:08",
"content": "Y*",
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},
{
"id": 1070299790631514100,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "02/01/2023 06:09:15",
"content": "!status",
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},
{
"id": 1070299791243886600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 06:09:15",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"id": 1070300820148588700,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:13:20",
"content": "1",
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},
{
"id": 1070300847218626700,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:13:27",
"content": "I dont know where to begin",
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},
{
"id": 1070301550477582300,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "02/01/2023 06:16:14",
"content": "Look at the rules concerning tangents in a circle",
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"id": 1070301569003815000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "02/01/2023 06:16:19",
"content": "And the secant theorems",
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"id": 1070301808402108400,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "02/01/2023 06:17:16",
"content": "Particularly that “tangents to circle from some external point are equal”",
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"id": 1070302096622112900,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "02/01/2023 06:18:25",
"content": "guess i forgot that, i was struggling with #1 😅",
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"id": 1070302973831422000,
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"author_name": "purrp",
"timestamp": "02/01/2023 06:21:54",
"content": "I dont get it",
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"id": 1070304462280851500,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:27:49",
"content": "So does that mean y is 9",
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{
"id": 1070304892817776600,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "02/01/2023 06:29:31",
"content": "so the segments of the same color are the same length",
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"id": 1070305029396901900,
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"author_name": "Sooshon",
"timestamp": "02/01/2023 06:30:04",
"content": "for each of them (like the two reds) you start at the same point and then draw a tangent to the circle, that will always be the same length, see if you can work it out from there",
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"id": 1070306201507745900,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:34:43",
"content": "In sorry but i still dont know. What do i do?",
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},
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"id": 1070307653647081500,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "02/01/2023 06:40:29",
"content": "if the 2nd blue segment is also 2 (matches its pair), and you know the total segment of red + blue = 9 (given by the problem), what is the red part?",
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 06:49:44",
"content": "@purrp Has your question been resolved?",
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"id": 1070311535290888200,
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"author_name": "purrp",
"timestamp": "02/01/2023 06:55:55",
"content": "Y=7",
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},
{
"id": 1070311545315283100,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:55:57",
"content": "Oh",
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"id": 1070311669479260200,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 06:56:27",
"content": "How about the x",
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{
"id": 1070314836145209300,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 07:09:02",
"content": "Should i just add the red and gree to get x?",
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},
{
"id": 1070317712217219100,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 07:20:28",
"content": "How about no2",
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},
{
"id": 1070317728734396400,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 07:20:32",
"content": "How do i do that",
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},
{
"id": 1070325279744082000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 07:50:32",
"content": "@purrp Has your question been resolved?",
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"id": 1070329842580607100,
"author_id": 750992393502720000,
"author_name": "Skill_Issue",
"timestamp": "02/01/2023 08:08:40",
"content": "since we found y (the red) and using the same rules we can get that the red+green=x and you can solve from there",
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{
"id": 1070331518674813000,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "02/01/2023 08:15:19",
"content": "How about no. 2?",
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{
"id": 1070332692127813800,
"author_id": 750992393502720000,
"author_name": "Skill_Issue",
"timestamp": "02/01/2023 08:19:59",
"content": "im not really sure, i think there is some x:9=4:12",
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"id": 1070333062644240400,
"author_id": 750992393502720000,
"author_name": "Skill_Issue",
"timestamp": "02/01/2023 08:21:27",
"content": "heres an exanple online, AK:CK=KD:KB",
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"timestamp": "02/01/2023 09:15:20",
"content": "@purrp Has your question been resolved?",
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"timestamp": "02/01/2023 09:15:24",
"content": "Channel closed",
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}
] | help-9 | 24b4bf86deb2469faf8bfcf085a24e0f |
201,217 | [
{
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"timestamp": "02/01/2023 09:16:24",
"content": "Available help channel!",
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},
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"id": 1070348053472624600,
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"content": "Pinned a message.",
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"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:21:03",
"content": "how can i solve this",
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},
{
"id": 1070348117649653800,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:21:17",
"content": "i started by switching the integrals",
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"id": 1070348158485405700,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:21:27",
"content": "i took dy's first instead of dx's",
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{
"id": 1070349250317254700,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:25:47",
"content": "so what were your new bounds?",
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},
{
"id": 1070349833644277800,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:28:06",
"content": "i have to change the bounds if i switch the integrals ?",
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},
{
"id": 1070350356221010000,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:30:11",
"content": "yes",
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},
{
"id": 1070350499993358500,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:30:45",
"content": "draw ur region",
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},
{
"id": 1070350502300229600,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:30:45",
"content": "waitt",
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},
{
"id": 1070350504850374800,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:30:46",
"content": "so like",
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},
{
"id": 1070350602166620200,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:31:09",
"content": "drawing is a problem for me ill just write it like a range thingy",
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{
"id": 1070350606075691000,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:31:10",
"content": "hold on",
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},
{
"id": 1070350682550435800,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:31:28",
"content": "practice drawing, it will be worth it",
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},
{
"id": 1070350714276159600,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:31:36",
"content": "being able to sketch a region is super useful",
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},
{
"id": 1070351402569842800,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:34:20",
"content": "where do i even start if i want to draw",
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},
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"id": 1070352125382627300,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:37:12",
"content": "so you are drawing the region represented by the bounds",
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},
{
"id": 1070352215975411700,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "02/01/2023 09:37:34",
"content": "the inside bound says \"x is between y and pi/2\" the outside bound says \"y is between 0 and pi/2\"",
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"id": 1070352931330732000,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:40:25",
"content": "y which is a normal line",
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{
"id": 1070352961143845000,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:40:32",
"content": "and pi/2 is a point ?",
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{
"id": 1070353025534791700,
"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:40:47",
"content": "so like this",
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"author_id": 212318261021376500,
"author_name": "akiraDUH",
"timestamp": "02/01/2023 09:40:56",
"content": "lemme show u",
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"timestamp": "02/01/2023 09:47:09",
"content": "Is this even close ?",
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"timestamp": "02/01/2023 10:02:10",
"content": "@akiraDUH Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 22725f0141f845ffaba2623ccf4116b2 |
201,218 | [
{
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"content": "Available help channel!",
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},
{
"id": 1070368599375630300,
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"content": "help",
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},
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"id": 1070368601414049800,
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"content": "@xjqstin Has your question been resolved?",
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"timestamp": "02/01/2023 11:28:43",
"content": "@xjqstin Has your question been resolved?",
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] | help-9 | a2a9179cf1374236a456def7e741fddb |
201,219 | [
{
"id": 1070392984467681400,
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 12:19:34",
"content": "Available help channel!",
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},
{
"id": 1070393303113142400,
"author_id": 371611734777266200,
"author_name": "Sas",
"timestamp": "02/01/2023 12:20:50",
"content": "How to comparison test this series",
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"id": 1070393305411629200,
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 12:20:50",
"content": "Pinned a message.",
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{
"id": 1070394018560741500,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "02/01/2023 12:23:40",
"content": "what do you mean, you want to find out a suitable comparison?",
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},
{
"id": 1070394345502539900,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "02/01/2023 12:24:58",
"content": "comparison with 1/n is the most obvious choice by the way",
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},
{
"id": 1070395593224097800,
"author_id": 371611734777266200,
"author_name": "Sas",
"timestamp": "02/01/2023 12:29:56",
"content": "To se if it diverges or konvergens",
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},
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"id": 1070396011937280100,
"author_id": 371611734777266200,
"author_name": "Sas",
"timestamp": "02/01/2023 12:31:36",
"content": "@Lixera",
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"id": 1070396119206608900,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "02/01/2023 12:32:01",
"content": "compare with 1/n then",
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"id": 1070397092645851100,
"author_id": 371611734777266200,
"author_name": "Sas",
"timestamp": "02/01/2023 12:35:53",
"content": "Ok\nSå diverges",
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"id": 1070397138921599000,
"author_id": 1067522727499546800,
"author_name": "Lixera",
"timestamp": "02/01/2023 12:36:04",
"content": "yea",
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"id": 1070397254516617200,
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"author_name": "Sas",
"timestamp": "02/01/2023 12:36:32",
"content": "Ok",
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},
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"id": 1070401030363304100,
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"timestamp": "02/01/2023 12:51:32",
"content": "@Sas Has your question been resolved?",
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"timestamp": "02/01/2023 12:51:41",
"content": "Channel closed",
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] | help-9 | 1a1db0d5183c4398b15a5e7c2c2882b4 |
201,220 | [
{
"id": 1070401321749975200,
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"timestamp": "02/01/2023 12:52:42",
"content": "Available help channel!",
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},
{
"id": 1070401407636746200,
"author_id": 511103596302041100,
"author_name": "P7øenix",
"timestamp": "02/01/2023 12:53:02",
"content": "I need to find cordinates from this equation",
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},
{
"id": 1070401410337869800,
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"content": "Pinned a message.",
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"timestamp": "02/01/2023 12:53:18",
"content": "2x+3y+4z=5",
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},
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"id": 1070401527824519300,
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"id": 1070401552503799800,
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"timestamp": "02/01/2023 12:53:37",
"content": "This is what i found",
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},
{
"id": 1070401844234428700,
"author_id": 511103596302041100,
"author_name": "P7øenix",
"timestamp": "02/01/2023 12:54:46",
"content": "Is this the right approach?",
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},
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"id": 1070402390550925400,
"author_id": 511103596302041100,
"author_name": "P7øenix",
"timestamp": "02/01/2023 12:56:57",
"content": "Brother we didnt used pythagoras thru out tge whole chapther neither omega",
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},
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"timestamp": "02/01/2023 12:57:30",
"content": "Ok teach me senior",
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"content": "So he taught us the wrong way",
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"content": "what are you even talking about? he just needs to find example coordinates on that line?",
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"content": "Yewh i just need to find coordinates from the given equation",
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"content": "what do you mean by coordinates",
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"content": "like just an example of 1 or 2 points that are on the line?",
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"content": "Yes",
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"content": "Leave us alone man",
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"timestamp": "02/01/2023 13:02:25",
"content": "But the solution provided by my teacher is different i ll portrait it",
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"timestamp": "02/01/2023 13:04:26",
"content": "@dGhost this guy is high idk what going on",
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"content": "there are infinite points on a line so yeah if you're just asked for examples likely two people aren't gonna give the same answer, other than the fact that people tend to pick easy coordinates to plug in and do the math with",
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"content": "Oh now it makes sens thankyou",
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] | help-9 | 5ce784794b534f468ea25adf765b55c7 |
201,221 | [
{
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"content": "Can I ask a question about kinetic energy?",
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"content": "https://www.khanacademy.org/science/physics/work-and-energy/work-and-energy-tutorial/a/what-is-kinetic-energy",
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"timestamp": "10/31/2022 14:58:01",
"content": "it says the page does not exist",
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"content": "I will enter later I'm doing some things I finish and go in",
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"timestamp": "10/31/2022 15:02:07",
"content": "Classical kinetic energy is $E_{k} = \\frac{1}{2}mv^{2}$, relativistic one is $E_{k} = mc^{2}(\\gamma - 1)$",
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"timestamp": "10/31/2022 15:02:33",
"content": "**꧁╭⊱尺αιηωα𝗋𝖾⊱╮꧂**",
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"content": "Where $\\gamma = \\frac{1}{\\sqrt{1-\\frac{v^{2}}{c^{2}}}}$ (Lorentz factor)",
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"content": "**꧁╭⊱尺αιηωα𝗋𝖾⊱╮꧂**",
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"timestamp": "10/31/2022 15:15:28",
"content": "@juan. Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 8fb4607815a44e84980f6346c197be1b |
201,222 | [
{
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"content": "Pinned a message.",
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"content": "AB = 12, BAC = 90deg, C = 20deg",
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"content": "BC * DC = ?",
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"timestamp": "02/01/2023 13:09:53",
"content": "I have been doing this question for like an hour now but I keep getting different answers",
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"timestamp": "02/01/2023 13:10:06",
"content": "And I get DC to be super thin sometimes",
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"id": 1070406038865576100,
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"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:11:26",
"content": "What are u getting DC to be?",
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{
"id": 1070406085896327300,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:11:38",
"content": "It might be right but the diagram is not drawn to scale",
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{
"id": 1070406156666798100,
"author_id": 368554884657840100,
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"timestamp": "02/01/2023 13:11:54",
"content": "Since C is 20 degrees it’ll be really small",
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"id": 1070406297335374000,
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"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:12:28",
"content": "1.493",
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"id": 1070406349122453600,
"author_id": 542002387754287100,
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"timestamp": "02/01/2023 13:12:40",
"content": "While BC is 12.77013",
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{
"id": 1070406801201299500,
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"timestamp": "02/01/2023 13:14:28",
"content": "Like I do 12.77 * 1.493 but it’s not the right answer",
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{
"id": 1070406928183861400,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:14:58",
"content": "Do u know the right answer?",
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"timestamp": "02/01/2023 13:15:34",
"content": "Nope",
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"id": 1070407147306885200,
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"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:15:51",
"content": "Ok so do you know how to get the angle of B",
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{
"id": 1070407181570158600,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:15:59",
"content": "Yes B is 20",
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{
"id": 1070407214310891600,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:16:07",
"content": "No",
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"id": 1070407241787781200,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:16:13",
"content": "Wym no",
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},
{
"id": 1070407271504412700,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:16:20",
"content": "The angles in a triangle add up to 180",
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{
"id": 1070407288654925800,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:16:24",
"content": "If you have 90 and 20",
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{
"id": 1070407322033213600,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:16:32",
"content": "What do you need to get a 180",
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{
"id": 1070407493198553200,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:17:13",
"content": "Oh right",
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},
{
"id": 1070407504850321500,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:17:16",
"content": "70",
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},
{
"id": 1070407519471681500,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:17:19",
"content": "Yeah",
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},
{
"id": 1070407562190659600,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:17:30",
"content": "U need more help from here or do u want to try it from here",
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},
{
"id": 1070407588937744500,
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"timestamp": "02/01/2023 13:17:36",
"content": "I’ll try",
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"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:17:53",
"content": ":thumbup:",
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"timestamp": "02/01/2023 13:25:52",
"content": "Ok so I got 395.636",
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"id": 1070410044656582700,
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"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:27:21",
"content": "Which isnt correct",
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"id": 1070410083672010800,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:27:31",
"content": "Yeah",
"attachments": [],
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"id": 1070410106698735700,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:27:36",
"content": "How are you getting that?",
"attachments": [],
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},
{
"id": 1070410200642752600,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:27:59",
"content": "I’m getting 1086.976",
"attachments": [],
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"reference": null
},
{
"id": 1070410200751804400,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:27:59",
"content": "AB = 12.77013",
"attachments": [],
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},
{
"id": 1070410271379701800,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:28:15",
"content": "DC = 30.981",
"attachments": [],
"mentions": [],
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},
{
"id": 1070410295517925500,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:28:21",
"content": "Isn’t AB 12?",
"attachments": [],
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},
{
"id": 1070410383002710000,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:28:42",
"content": "I got 12.77013",
"attachments": [],
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},
{
"id": 1070410396726468700,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:28:45",
"content": "I have that for DC too though",
"attachments": [],
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},
{
"id": 1070410421317681200,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:28:51",
"content": "Didn’t the question say 12?",
"attachments": [],
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},
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"id": 1070410434735259600,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:28:54",
"content": "Oh I meant",
"attachments": [],
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},
{
"id": 1070410444872884400,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:28:57",
"content": "Bc is 12.77013",
"attachments": [],
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},
{
"id": 1070410518982045700,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:29:14",
"content": "Dude u were right",
"attachments": [],
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},
{
"id": 1070410531871142000,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:29:18",
"content": "How did u do it wtf",
"attachments": [],
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},
{
"id": 1070410545917853700,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:29:21",
"content": "If DC is 30 then BC can’t be less",
"attachments": [],
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},
{
"id": 1070410569850564700,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:29:27",
"content": "Oh",
"attachments": [],
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},
{
"id": 1070410573579309200,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:29:28",
"content": "Since DC is in BC",
"attachments": [],
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},
{
"id": 1070410733675876400,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:30:06",
"content": "Ok so I found it by using cos with the 70 degree angle to find BD",
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},
{
"id": 1070410904014950500,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:30:46",
"content": "Cos(70) =BD / AB => BD / 12",
"attachments": [],
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},
{
"id": 1070410927461114000,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:30:52",
"content": "Yes",
"attachments": [],
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},
{
"id": 1070410963326615700,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:31:00",
"content": "Oh wait bd",
"attachments": [],
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},
{
"id": 1070411019165384800,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:31:14",
"content": "Yeah",
"attachments": [],
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"reference": null
},
{
"id": 1070411041428742300,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:31:19",
"content": "These letters get confusing xd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070411098286719000,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:31:33",
"content": "True",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070411115097489500,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:31:37",
"content": "Ok so we get BD",
"attachments": [],
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},
{
"id": 1070411192943792300,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:31:55",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070411258479779800,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:32:11",
"content": "And then DC was right",
"attachments": [],
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},
{
"id": 1070411326041628700,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:32:27",
"content": "So BC is the two of them added up",
"attachments": [],
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},
{
"id": 1070411384757682300,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:32:41",
"content": "Ighttt",
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},
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"id": 1070411418467307500,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:32:49",
"content": "Ty man",
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},
{
"id": 1070411450507608200,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:32:57",
"content": "Np",
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},
{
"id": 1070411466701803500,
"author_id": 542002387754287100,
"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:33:00",
"content": ".close",
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},
{
"id": 1070411469675581600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 13:33:01",
"content": "Channel closed",
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}
] | help-9 | f0a4b30fe92c415ea3c67e93053c55fe |
201,223 | [
{
"id": 1070411722176868500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 13:34:01",
"content": "Available help channel!",
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"author_id": 542002387754287100,
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"timestamp": "02/01/2023 13:34:46",
"content": "Cos(70) =BD / AB => BD / 12\n\nBD = 4.10\n\nDC: Sin(20) = DC/4.36 -> 1.49382\n\n1.49382 + 4.10 -> 8.3624",
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},
{
"id": 1070411912417914900,
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"timestamp": "02/01/2023 13:34:47",
"content": "Pinned a message.",
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"content": "Wait wat",
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{
"id": 1070411953996038100,
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"author_name": "nbhIsHere",
"timestamp": "02/01/2023 13:34:57",
"content": ".close",
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},
{
"id": 1070411956957229000,
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 13:34:57",
"content": "Channel closed",
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] | help-9 | f81529a94ac94e709cbf6a055ce6bbd3 |
201,224 | [
{
"id": 1070413195380006900,
"author_id": 917701180791066600,
"author_name": "effect-celebre",
"timestamp": "02/01/2023 13:39:53",
"content": "is it realy 2+2=3",
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},
{
"id": 1070413687615140000,
"author_id": 917701180791066600,
"author_name": "effect-celebre",
"timestamp": "02/01/2023 13:41:50",
"content": "because my teacher give it to me in the test and he says if tomorrow you give me the solution I will get a+",
"attachments": [],
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},
{
"id": 1070413970596442200,
"author_id": 917701180791066600,
"author_name": "effect-celebre",
"timestamp": "02/01/2023 13:42:57",
"content": "soooooooooooooooooooo",
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},
{
"id": 1070414101186101200,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 13:43:29",
"content": "Either he doesn’t want to give you an a+ or it has some weird trick",
"attachments": [],
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},
{
"id": 1070414441251885200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 13:44:50",
"content": "Available help channel!",
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},
{
"id": 1070416492069404700,
"author_id": 721061356354142300,
"author_name": "YeBoiStormzy",
"timestamp": "02/01/2023 13:52:59",
"content": "how do you find the slope of BC",
"attachments": [
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 13:53:00",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 14:08:00",
"content": "@YeBoiStormzy Has your question been resolved?",
"attachments": [],
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"content": "Channel closed",
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}
] | help-9 | 49729ad15f80460da4e940f7d47f32a0 |
201,225 | [
{
"id": 1070425875025240000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 14:30:16",
"content": "Available help channel!",
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},
{
"id": 1070426228533755900,
"author_id": 107678929925484540,
"author_name": "Zephireis",
"timestamp": "02/01/2023 14:31:40",
"content": "where is -10/3 coming from in thiss point slope problem",
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"content": "Pinned a message.",
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{
"id": 1070426403457212500,
"author_id": 368554884657840100,
"author_name": "swichherddhhhh",
"timestamp": "02/01/2023 14:32:22",
"content": "It intercepts the y axis at -10/3",
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},
{
"id": 1070426882568368300,
"author_id": 107678929925484540,
"author_name": "Zephireis",
"timestamp": "02/01/2023 14:34:16",
"content": "I",
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{
"id": 1070426935768908000,
"author_id": 107678929925484540,
"author_name": "Zephireis",
"timestamp": "02/01/2023 14:34:29",
"content": "im not understanding where 10 is coming from in this problem",
"attachments": [],
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"reference": null
},
{
"id": 1070428373484048500,
"author_id": 107678929925484540,
"author_name": "Zephireis",
"timestamp": "02/01/2023 14:40:11",
"content": "Let me back up. This is what I have. I'm confused how this is the actual answer",
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{
"id": 1070428406744891500,
"author_id": 107678929925484540,
"author_name": "Zephireis",
"timestamp": "02/01/2023 14:40:19",
"content": "",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1070428406551945246/image.png",
"fileName": "image.png",
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],
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},
{
"id": 1070431023927673000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "02/01/2023 14:50:43",
"content": ",calc 1/3 + 3",
"attachments": [],
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"nickname": "Zephireis",
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{
"id": 1070431025936740500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/01/2023 14:50:44",
"content": "Result:\n```\n3.3333333333333\n```",
"attachments": [],
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},
{
"id": 1070431037550756000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "02/01/2023 14:50:46",
"content": ",calc 10/3",
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},
{
"id": 1070431039417241700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/01/2023 14:50:47",
"content": "Result:\n```\n3.3333333333333\n```",
"attachments": [],
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"reference": null
},
{
"id": 1070432237834739800,
"author_id": 107678929925484540,
"author_name": "Zephireis",
"timestamp": "02/01/2023 14:55:33",
"content": "i see where I went wrong, 1 I added 3 to both sides when I should have -3 and I didn't add fractions.",
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},
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 15:10:33",
"content": "@Zephireis Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 15:10:41",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | b2ebf417efee4510b5bd8df3907ef368 |
201,226 | [
{
"id": 1070447430673371100,
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 15:55:55",
"content": "Available help channel!",
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},
{
"id": 1070448680550801500,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:00:53",
"content": "",
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{
"id": 1070448683595874400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 16:00:54",
"content": "Pinned a message.",
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{
"id": 1070448806677725300,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:01:23",
"content": "y=mx-5m for both",
"attachments": [],
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},
{
"id": 1070448854467621000,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:01:34",
"content": "subbing into eqns",
"attachments": [],
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},
{
"id": 1070449182193754100,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:02:53",
"content": "x^2+(mx-5m)^2 -4x +12(mx-5m)+23=0",
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},
{
"id": 1070449462608142300,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:03:59",
"content": "simplifies to \n(1+m^2)x^2 + (12m-10m^2 -4)x + (25m^2 -60m+23)",
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},
{
"id": 1070449497928380400,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:04:08",
"content": "discriminant",
"attachments": [],
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"reference": null
},
{
"id": 1070449772080664600,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:05:13",
"content": "(12m-10m^2 -4)^2 -4(1+m^2)(25m^2 -60m+23)",
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},
{
"id": 1070449818570334300,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:05:24",
"content": "heres where it goes downhill",
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},
{
"id": 1070449962921500800,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:05:59",
"content": "after a lot of simplification i got \n32m^2 -144m -75=0",
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"id": 1070450201141198800,
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"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:06:55",
"content": "m= (9+-sqrt(119))/4",
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},
{
"id": 1070450341155446900,
"author_id": 824315728089710700,
"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:07:29",
"content": "funny thing is m= 1/4 and 19/8 💀",
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},
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"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 16:22:29",
"content": "@gul_garnish Has your question been resolved?",
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"timestamp": "02/01/2023 16:23:02",
"content": "@Helpers ?",
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"author_id": 824315728089710700,
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"timestamp": "02/01/2023 16:48:30",
"content": "_sigh_",
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"id": 1070460700197138600,
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"author_name": "gul_garnish",
"timestamp": "02/01/2023 16:48:39",
"content": ".close",
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"id": 1070460703200256100,
"author_id": 805217272087838700,
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"timestamp": "02/01/2023 16:48:39",
"content": "Channel closed",
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] | help-9 | 01930df283de47c29376ac3ae8e44413 |
201,227 | [
{
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"content": "Available help channel!",
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},
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"id": 1070462060846141400,
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"timestamp": "02/01/2023 16:54:03",
"content": "Pinned a message.",
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},
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"content": ".close",
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"id": 1070462215930515500,
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"content": "Channel closed",
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}
] | help-9 | 6a364bd53baa434ab97592b58bdb6ec7 |
201,228 | [
{
"id": 1070462416757989500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "02/01/2023 16:55:28",
"content": "you've opened two channels",
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},
{
"id": 1070462450555695200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "02/01/2023 16:55:36",
"content": "for the same question",
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},
{
"id": 1070462458508087300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "02/01/2023 16:55:38",
"content": "you know the rules",
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"id": 1070462570751860900,
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{
"id": 1070462606797705200,
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"timestamp": "02/01/2023 16:56:13",
"content": "youre literally boki",
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},
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"content": "Available help channel!",
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},
{
"id": 1070465185128644700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 17:06:28",
"content": "Pinned a message.",
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"content": "@Chief Has your question been resolved?",
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"content": "@Chief Has your question been resolved?",
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"content": "@Chief Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | d33f9ddbd3e4449c99a830f19df0a3a5 |
201,229 | [
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{
"id": 1070543629438964000,
"author_id": 478972802674720800,
"author_name": "sophia!",
"timestamp": "02/01/2023 22:18:10",
"content": "i am not sure how im getting 1c wrong. I feel like the answer is simple and i only have one try left",
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"author_name": "sophia!",
"timestamp": "02/01/2023 22:18:51",
"content": "i've done 4x-24, 4x-28, and 4x-20",
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"id": 1070543944028528600,
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"timestamp": "02/01/2023 22:19:26",
"content": "i did y-(-4)=4(x-6)",
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"author_name": "Lixera",
"timestamp": "02/01/2023 22:19:27",
"content": "haven't really checked your numbers yet, but a definitely possible reason is you forgetting the y =",
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"timestamp": "02/01/2023 22:19:33",
"content": "OH",
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"timestamp": "02/01/2023 22:20:06",
"content": "thank you so much lol",
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"author_name": "Lixera",
"timestamp": "02/01/2023 22:20:17",
"content": "yeah okay should be just that",
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"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | 5a6b9b3bcfa740a3848b53ff0da0afb4 |
201,230 | [
{
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},
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"id": 1070550440988639400,
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"content": "Pinned a message.",
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"id": 1070550522618196100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 22:45:34",
"content": "definite integral with limits 0-9",
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},
{
"id": 1070550570378727400,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/01/2023 22:45:45",
"content": "Show work",
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"id": 1070550702230876200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 22:46:17",
"content": "haven't started yet all I've done is wrote this.",
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"id": 1070550718529933300,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/01/2023 22:46:21",
"content": "Yea so just substract integrals",
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"id": 1070550806102810600,
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"author_name": "Lex1729",
"timestamp": "02/01/2023 22:46:42",
"content": "so 1/3x - x^1/2",
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"id": 1070550878559412200,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/01/2023 22:46:59",
"content": "Ye",
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},
{
"id": 1070550902647304200,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/01/2023 22:47:05",
"content": "Integrate",
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"id": 1070551008968708100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 22:47:30",
"content": "so it will become 1/3x^2 / 2",
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"id": 1070551014651998200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 22:47:31",
"content": "?",
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"id": 1070551088706617300,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/01/2023 22:47:49",
"content": "x2/6 - 2/3 x^(3/2)",
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},
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"id": 1070551640874164200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 22:50:01",
"content": "I got 2/3x^2 - 2x^3/2",
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"id": 1070551789000204400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 22:50:36",
"content": "cause I thought I have to multiply by 2 in order to remove the 3/2 beneath -x^3/2",
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"id": 1070554591525097500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 23:01:44",
"content": "could anyone help me out with this?",
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},
{
"id": 1070556203119288300,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "02/01/2023 23:08:08",
"content": "$\\int\\frac{1}{3}x\\,dx=\\frac{1}{3}\\cdot\\frac{x^{1+1}}{1+1}=\\frac{1}{6}x^2+C$",
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},
{
"id": 1070556213718294500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/01/2023 23:08:11",
"content": "**SilverSoldier**",
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"author_name": "SilverSoldier",
"timestamp": "02/01/2023 23:11:09",
"content": "u divide 1/3 by 2, that gives u 1/6, not 2/3",
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"id": 1070557507271008300,
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"author_name": "Lex1729",
"timestamp": "02/01/2023 23:13:19",
"content": "So it this correct?",
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"timestamp": "02/01/2023 23:25:28",
"content": "@SilverSoldier",
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"timestamp": "02/01/2023 23:33:10",
"content": ".close",
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{
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"timestamp": "02/01/2023 23:33:11",
"content": "Channel closed",
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] | help-9 | b611144c0f5441fb924a5fb2d8fd24f9 |
201,231 | [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 23:34:11",
"content": "Available help channel!",
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},
{
"id": 1070563197083467800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 23:35:56",
"content": "could anyone help me out",
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},
{
"id": 1070563199352574000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 23:35:56",
"content": "Pinned a message.",
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"id": 1070563224858149000,
"author_id": 1053414736387113100,
"author_name": "Rolingstone09",
"timestamp": "02/01/2023 23:36:02",
"content": "could anyone help me out",
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},
{
"id": 1070563294479392800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 23:36:19",
"content": "please use another channel, this is occupied.",
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},
{
"id": 1070563329401167900,
"author_id": 1053414736387113100,
"author_name": "Rolingstone09",
"timestamp": "02/01/2023 23:36:27",
"content": "Ok",
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},
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"id": 1070563640584970200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
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"id": 1070565375776931800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/01/2023 23:44:35",
"content": "!status",
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},
{
"id": 1070565376611590300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 23:44:35",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"id": 1070566435342004200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "02/01/2023 23:48:48",
"content": "4",
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},
{
"id": 1070566704914108400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/01/2023 23:49:52",
"content": "!show",
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"reference": null
},
{
"id": 1070566708626075800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/01/2023 23:49:53",
"content": "Show your work, and if possible, explain where you are stuck.",
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},
{
"id": 1070570211259973600,
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"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 00:03:48",
"content": "@Lex1729 Has your question been resolved?",
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"timestamp": "02/02/2023 00:18:49",
"content": "Channel closed",
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}
] | help-9 | 28ee52754c92453eb852cd2d7a1c8368 |
201,232 | [
{
"id": 1036724109037535400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 15:31:28",
"content": "Available help channel!",
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},
{
"id": 1036724583845351400,
"author_id": 469485760626556900,
"author_name": "Dakkhyl",
"timestamp": "10/31/2022 15:33:22",
"content": "24 bills, 4 in the stack are counterfeit. ten are drawn, what's the chance there's no counterfeit money I have no idea how to approach this, just started propability.\n\nnchoosek(20,10)/nchoosek(24,10) idk why this doesnt give me the correct answer in matlab",
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"id": 1036724586101874700,
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"content": "Pinned a message.",
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"id": 1036726652077613000,
"author_id": 212041922150137860,
"author_name": "nerdyjoe",
"timestamp": "10/31/2022 15:41:35",
"content": "think about drawing two bills first.",
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},
{
"id": 1036726696214282200,
"author_id": 212041922150137860,
"author_name": "nerdyjoe",
"timestamp": "10/31/2022 15:41:45",
"content": "from the same 4:24 deck",
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"timestamp": "10/31/2022 15:48:22",
"content": "@Dakkhyl Has your question been resolved?",
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"timestamp": "10/31/2022 15:48:32",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 8cbf4ee962924ed1bc836aa270e74e9f |
201,233 | [
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"timestamp": "02/02/2023 00:19:49",
"content": "Available help channel!",
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},
{
"id": 1070577753046396900,
"author_id": 805217272087838700,
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"timestamp": "02/02/2023 00:33:46",
"content": "Pinned a message.",
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"timestamp": "02/02/2023 00:37:08",
"content": "Channel closed",
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}
] | help-9 | f526408305c1475a8dc00629c57a0d51 |
201,234 | [
{
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"timestamp": "02/02/2023 00:43:48",
"content": "Available help channel!",
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},
{
"id": 1070581384537718900,
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"timestamp": "02/02/2023 00:48:12",
"content": "Pinned a message.",
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"author_id": 825606408350466000,
"author_name": "YungKula",
"timestamp": "02/02/2023 00:48:14",
"content": "I got 32",
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},
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"id": 1070582591788433400,
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"content": "Channel closed",
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}
] | help-9 | 2985aa9e0ee54c409c238db4d09a85a2 |
201,235 | [
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"timestamp": "02/02/2023 00:58:15",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_name": "YungKula",
"timestamp": "02/02/2023 00:59:19",
"content": "I need assistance on cheking this",
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"id": 1070584192854937600,
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"author_name": "YungKula",
"timestamp": "02/02/2023 00:59:22",
"content": "I got thirty si",
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"timestamp": "02/02/2023 01:14:22",
"content": "@YungKula Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 20044a019632436686cfb2f2b1246657 |
201,236 | [
{
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"content": "Available help channel!",
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},
{
"id": 1070593581070430200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 01:36:40",
"content": "Pinned a message.",
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"author_id": 951190447185875000,
"author_name": "MathIsAlwaysRight",
"timestamp": "02/02/2023 01:37:32",
"content": "What are you supposed to calculate?",
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"id": 1070593833433301100,
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"author_name": "Shyunii",
"timestamp": "02/02/2023 01:37:40",
"content": "im just supposed to simplify this",
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"id": 1070593902685466600,
"author_id": 445406556801204200,
"author_name": "Shyunii",
"timestamp": "02/02/2023 01:37:57",
"content": "but im confused on if the conjugate for 3/5 is -3/5 or -5/3",
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"timestamp": "02/02/2023 01:38:11",
"content": "Why would you need conjugate?",
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"author_name": "Shyunii",
"timestamp": "02/02/2023 01:38:21",
"content": "to simplify it",
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"timestamp": "02/02/2023 01:38:37",
"content": "as much as possible",
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"author_name": "Shyunii",
"timestamp": "02/02/2023 01:38:42",
"content": "or at least thats what my math teacher wants me to do ig",
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"author_name": "Clarkie",
"timestamp": "02/02/2023 01:38:49",
"content": "do they mean rewrite without a negative exponent?",
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"timestamp": "02/02/2023 01:39:06",
"content": "I would just use rule b^(-x)=1/b^x",
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"content": "I assume so",
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"timestamp": "02/02/2023 01:39:22",
"content": "then $a^{-n}=1/a^n$",
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"timestamp": "02/02/2023 01:39:24",
"content": "**Clarkie**",
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"author_name": "Shyunii",
"timestamp": "02/02/2023 01:39:44",
"content": "but then from there I have to get rid of the n right",
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"timestamp": "02/02/2023 01:40:12",
"content": "cause i cant leave a radical in the denom?",
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"timestamp": "02/02/2023 01:41:24",
"content": "i mean this is the answer im just not completely sure of the process",
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"timestamp": "02/02/2023 01:41:52",
"content": "looks gud if thats the goal",
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"timestamp": "02/02/2023 01:42:13",
"content": "First step would be rewrite the negative exponent like this",
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"timestamp": "02/02/2023 01:42:13",
"content": "i just dont know how to get there",
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"timestamp": "02/02/2023 01:42:17",
"content": "mmhmm",
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"timestamp": "02/02/2023 01:42:52",
"content": "you multiplied by 1 , b^(3/5) / b^(3/5)",
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"timestamp": "02/02/2023 01:42:55",
"content": "I would then multiply denom and nominator by",
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"timestamp": "02/02/2023 01:43:26",
"content": "Try to do it and you will see what you'll get",
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"timestamp": "02/02/2023 01:44:39",
"content": "isnt it \n1\n--\nb ^12/5",
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"author_name": "Shyunii",
"timestamp": "02/02/2023 01:44:43",
"content": "or am i doing smthing wrong",
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"timestamp": "02/02/2023 01:45:04",
"content": "Not really",
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"timestamp": "02/02/2023 01:45:27",
"content": "whu",
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] | help-9 | 9498d4c4d8ea4c278eb443eef020c96d |
201,237 | [
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"author_id": 228984275301564400,
"author_name": ".bruh",
"timestamp": "02/02/2023 02:14:54",
"content": "how did it go from the first highlighted step to the second one?",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "02/02/2023 02:16:25",
"content": "opposite of log",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "02/02/2023 02:16:51",
"content": "raise both sides exponentially with base 3",
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"id": 1070604145624617000,
"author_id": 228984275301564400,
"author_name": ".bruh",
"timestamp": "02/02/2023 02:18:39",
"content": "wait can u write out how that would look like becuase I don't get how 4 turns into 8 and 2 turns into 6",
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"id": 1070604228386639900,
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"timestamp": "02/02/2023 02:18:58",
"content": "what I am thinking is 2x3 = 6",
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"id": 1070604243330924700,
"author_id": 228984275301564400,
"author_name": ".bruh",
"timestamp": "02/02/2023 02:19:02",
"content": "but i know thats not right",
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"id": 1070604810396635100,
"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "02/02/2023 02:21:17",
"content": "$3^{\\log_{3}{((x+2)(x+4))}} = (x+2)(x+4)$",
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"id": 1070604819389227000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 02:21:19",
"content": "**Kookiemon**",
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"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "02/02/2023 02:21:58",
"content": "$a^{log_{a}{x}} = x$",
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"id": 1070605029251231900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 02:22:09",
"content": "**Kookiemon**",
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"timestamp": "02/02/2023 02:25:09",
"content": "got it another question how would i solve",
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"timestamp": "02/02/2023 02:25:18",
"content": "I have never seen it",
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"author_name": "Kookiemon",
"timestamp": "02/02/2023 02:28:01",
"content": "Look at the identity I just posted.",
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"id": 1070607640004145200,
"author_id": 228984275301564400,
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"timestamp": "02/02/2023 02:32:32",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 02:32:33",
"content": "Channel closed",
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] | help-9 | 563c1d6b28494bac8474ddc774508237 |
201,238 | [
{
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"timestamp": "02/02/2023 03:36:06",
"content": "Available help channel!",
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"author_name": "lions788",
"timestamp": "02/02/2023 03:47:34",
"content": "Using First Principles to differentiate an equation. f(x) = x * sqrt(x)\nI can setup the first principles equation and multiple by the conjugate but I get stuck after the 3rd step and end up with the equation as\n((x+h)^3 - x^3) / h((x+h) * sqrt(x + h) + x * sqrt(x))",
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"id": 1070626866119061500,
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"author_name": "Ann",
"timestamp": "02/02/2023 03:48:56",
"content": "that looks like more trouble than its worth",
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"id": 1070626976739643400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "02/02/2023 03:49:22",
"content": "oh actually hold on",
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"id": 1070627005109915600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "02/02/2023 03:49:29",
"content": "right yeah so",
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"id": 1070627046713212900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "02/02/2023 03:49:39",
"content": "you can do some fuckery in at least 2 different ways on the numerator.",
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"id": 1070627125540954100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "02/02/2023 03:49:58",
"content": "either expand (x+h)^3, or apply the difference-of-cubes identity to the whole thing",
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"id": 1070627248484397000,
"author_id": 333315591882407940,
"author_name": "lions788",
"timestamp": "02/02/2023 03:50:27",
"content": "never learned the difference of cubes identity. What is it?",
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{
"id": 1070627398015524900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "02/02/2023 03:51:02",
"content": "$a^3 - b^3 = (a-b)(a^2+ab+b^2)$",
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"id": 1070627405816926200,
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"timestamp": "02/02/2023 03:51:04",
"content": "**Ann**",
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"author_name": "lions788",
"timestamp": "02/02/2023 03:52:44",
"content": "so, in this context wouldnt the numerator become (x+h)(x^2 + 2xh + h^2) - x^3? Not sure what you could do after",
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"timestamp": "02/02/2023 04:07:44",
"content": "@lions788 Has your question been resolved?",
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"timestamp": "02/02/2023 04:07:53",
"content": ".close",
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"timestamp": "02/02/2023 04:07:54",
"content": "Channel closed",
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] | help-9 | 76d4f0ba366b485296768baaee95c0fb |
201,239 | [
{
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"content": "Available help channel!",
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"author_name": "Naruto Brat",
"timestamp": "02/02/2023 04:25:49",
"content": "welp please",
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"content": "Pinned a message.",
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"content": ".close",
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] | help-9 | 3d83a7decdac4d2bbcf970584312ea8e |
201,240 | [
{
"id": 1070636495943254000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "02/02/2023 04:27:12",
"content": "You're welcome.",
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"content": "Available help channel!",
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},
{
"id": 1070639316935655600,
"author_id": 766504260501241900,
"author_name": "cyan",
"timestamp": "02/02/2023 04:38:24",
"content": "Flor has 7 romance books, 5 detective books, and 4 horror books. If she goes on\nvacation and wants to bring 3 books with her, what is the probability that all 3 genres are represented",
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"timestamp": "02/02/2023 04:38:25",
"content": "Pinned a message.",
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"id": 1070639350221643800,
"author_id": 766504260501241900,
"author_name": "cyan",
"timestamp": "02/02/2023 04:38:32",
"content": "oops",
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{
"id": 1070639927659876400,
"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:40:50",
"content": "Wouldn't it be (A¹/⁷×A¹/⁵×A¹/⁴) ÷ A³/¹⁶",
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"author_name": "Cece♡",
"timestamp": "02/02/2023 04:41:05",
"content": "Arrangements",
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"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:41:29",
"content": "Or combinations if its simultaneously",
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"id": 1070640139723874300,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "02/02/2023 04:41:40",
"content": "Find another help channel cyan was first 💀",
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"author_name": "cyan",
"timestamp": "02/02/2023 04:42:16",
"content": "can u explain me how",
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"author_name": "Cece♡",
"timestamp": "02/02/2023 04:44:27",
"content": "Well she wants one of each book so order matters and repetition isn't allowed \nSo that calls for arrangements",
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"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:44:52",
"content": "Or combinations since she's taking one only",
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"id": 1070641009572204500,
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"author_name": "Cece♡",
"timestamp": "02/02/2023 04:45:08",
"content": "Basically you're taking one of each batch and putting them together in one",
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"id": 1070641036508016600,
"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:45:14",
"content": "So you multiply it",
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"id": 1070641290909335600,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "02/02/2023 04:46:15",
"content": "Is this A notation just nPr",
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"id": 1070641327961808900,
"author_id": 766504260501241900,
"author_name": "cyan",
"timestamp": "02/02/2023 04:46:24",
"content": "ahhhh",
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"id": 1070641360044044400,
"author_id": 766504260501241900,
"author_name": "cyan",
"timestamp": "02/02/2023 04:46:31",
"content": "so i add 7+5+4",
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"id": 1070641363160399900,
"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:46:32",
"content": "Basically yea",
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{
"id": 1070641388259119100,
"author_id": 766504260501241900,
"author_name": "cyan",
"timestamp": "02/02/2023 04:46:38",
"content": "then 16P3",
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"id": 1070641443519090700,
"author_id": 766504260501241900,
"author_name": "cyan",
"timestamp": "02/02/2023 04:46:51",
"content": "or is it nCr",
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"timestamp": "02/02/2023 04:46:56",
"content": "Npr",
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"id": 1070641474804396000,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "02/02/2023 04:46:59",
"content": "Hold on isn’t it wrong",
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"id": 1070641517443698700,
"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:47:09",
"content": "I take math in french :sadlaughing_RS:",
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"id": 1070641570690379900,
"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:47:22",
"content": "If she's taking the books simultaneously",
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"id": 1070641579754278900,
"author_id": 821264367597256700,
"author_name": "Cece♡",
"timestamp": "02/02/2023 04:47:24",
"content": "It's nCr",
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201,241 | [
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"id": 1070648369996894300,
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"content": "A) a,b,c\nB) i.3 ii.2 iii.5\nC) 3a +2b+5c+7d+e",
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"content": "this is what i ended up doing",
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"content": "idk if its right",
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"content": "Everything except C is right",
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"content": "Is pretty easy question",
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"author_name": "!Falcon",
"timestamp": "02/02/2023 05:15:21",
"content": "what does a question like 3y + 2x +1b mean",
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"author_name": "!Falcon",
"timestamp": "02/02/2023 05:15:27",
"content": "whats 3y supposed to mean?",
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"timestamp": "02/02/2023 05:16:04",
"content": "It currently represents nothing because your just using it to show you understand what terms and coefficients are",
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"content": "am i meant to add them together and it becomes 8yxb",
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"content": "You're overthinking this",
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"content": "It's an easy question",
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"timestamp": "02/02/2023 05:17:03",
"content": "does it equal something?",
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"timestamp": "02/02/2023 05:17:14",
"content": "God what's people problem with having invisible usernames",
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"author_name": "!Falcon",
"timestamp": "02/02/2023 05:18:05",
"content": "for the top questions",
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"author_id": 905334775210983400,
"author_name": "!Falcon",
"timestamp": "02/02/2023 05:18:14",
"content": "D ) x is tripled",
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"timestamp": "02/02/2023 05:18:19",
"content": "it means 3x",
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"timestamp": "02/02/2023 05:18:29",
"content": "This is entirely new question,",
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"id": 1070649438504226800,
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"timestamp": "02/02/2023 05:18:37",
"content": "Open and close the question thing",
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"timestamp": "02/02/2023 05:18:45",
"content": "oh okay",
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"timestamp": "02/02/2023 05:18:47",
"content": "thanks",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 86673538e7bd46ada8414b9bf48efd0c |
201,242 | [
{
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"id": 1070653899276566500,
"author_id": 362794394887127040,
"author_name": "numbpy",
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"content": "Show that if ord(a) = n = rs, where (r, s) = 1, then $\\langle a \\rangle \\cong \\langle b \\rangle \\times \\langle c \\rangle$, where ord(b) = r and ord(c) = s",
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"timestamp": "02/02/2023 05:36:48",
"content": "**numbpy**",
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"content": "This should be fairly simple, I think b = a^s and c = a^r. Then ord(b) = r and ord(c) = s",
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"timestamp": "02/02/2023 05:37:57",
"content": "But I am not sure about the bijection",
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"content": "I was thinking $\\phi : \\langle b \\rangle \\times \\langle c \\rangle \\rightarrow \\langle a \\rangle$",
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"timestamp": "02/02/2023 05:38:54",
"content": "**numbpy**",
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"timestamp": "02/02/2023 05:39:14",
"content": "with phi((x, y)) = xy",
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"content": "Proving that phi is homomorphism is easy but I am not sure I am right as I am unable to prove bijection",
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"content": "@numbpy Has your question been resolved?",
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"content": "@Helpers",
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"content": "@numbpy Has your question been resolved?",
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"content": "@Helpers anyone",
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"content": ".close",
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] | help-9 | 46db144d5d9e4dd79a46dc0721e7852f |
201,243 | [
{
"id": 1036728650986442800,
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"timestamp": "10/31/2022 15:49:31",
"content": "Available help channel!",
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"id": 1036728865902559400,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "10/31/2022 15:50:23",
"content": "how is that 1",
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"timestamp": "10/31/2022 15:51:11",
"content": "as x goes to 0, sin(x) -> x",
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"timestamp": "10/31/2022 15:52:17",
"content": "so here, as n --> infty, 1/n -->0 so sin(1/n) ----> 1/n",
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"timestamp": "10/31/2022 15:52:48",
"content": "you have (1/n) / (1/n) ----> 1",
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"timestamp": "10/31/2022 15:52:53",
"content": "why 0 isnt it going to inf",
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"timestamp": "10/31/2022 15:53:34",
"content": "oh",
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"timestamp": "10/31/2022 15:53:37",
"content": "i see",
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"timestamp": "10/31/2022 15:53:52",
"content": "This is kind of a rule",
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"timestamp": "10/31/2022 15:54:28",
"content": "and when applied to your exercise, x = 1/n so n as to --->infty in order to have x--->0",
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"timestamp": "10/31/2022 15:56:27",
"content": "finally",
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"timestamp": "10/31/2022 15:56:49",
"content": "i see it",
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"timestamp": "10/31/2022 15:56:50",
"content": "thanks",
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"timestamp": "10/31/2022 15:57:13",
"content": ".close",
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] | help-9 | 4bfaea6838e44f4db16a60aaf844a249 |
201,244 | [
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"timestamp": "02/02/2023 06:58:58",
"content": "hoe to do this?",
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"content": "Pinned a message.",
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"content": "I think you're supposed to isolate z but making it \"the subject\" is weird wording",
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"content": "could you show me the steps",
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"content": "We're not supposed to tell answers directly, I can give hints",
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"content": "(1) locate z in the equation",
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"content": "(2) move it to one side of equality and everything else to other side",
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"content": "z is at -3yz",
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"content": "do i move the -3yz or just z ?",
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"author_name": "numbpy",
"timestamp": "02/02/2023 07:05:07",
"content": "-3yz since you can't directly get rid of -3y",
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"timestamp": "02/02/2023 07:07:55",
"content": "so it would be like this",
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"author_name": "Wattzyn",
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"content": "3yz = -x +uv + 4w - 0 ?",
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"timestamp": "02/02/2023 07:11:46",
"content": "yes, now to remove 3y, divide both sides by it",
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"timestamp": "02/02/2023 07:14:18",
"content": "okay done it whats the next step after divde by 3y both sides ?",
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"timestamp": "02/02/2023 07:20:29",
"content": "thats the last step, z is now the subject",
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"content": "assuming you did it correctly",
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"timestamp": "02/02/2023 07:24:00",
"content": "also close channels before opening a new one",
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"timestamp": "02/02/2023 07:33:10",
"content": "@Wattzyn Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 7e6f896293c440debf5bddf495b69a17 |
201,245 | [
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"content": "Available help channel!",
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"author_id": 208188247291985920,
"author_name": "halalchad",
"timestamp": "02/02/2023 07:57:31",
"content": "so i have a question $-1\\leq \\sqrt{y} \\leq +1$",
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"timestamp": "02/02/2023 07:57:33",
"content": "**halalchad**",
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"timestamp": "02/02/2023 07:57:52",
"content": "what to do in these types of inequalities?",
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"content": "@halalchad Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | a9a5cae690c54df6a6097efd2c7e604b |
201,246 | [
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"content": "Available help channel!",
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"author_id": 593770484446003200,
"author_name": "Shockshwat",
"timestamp": "02/02/2023 08:34:38",
"content": "Was doing practice question paper and got this question, tried solving for the height but i got 7r - 1",
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"content": "Pinned a message.",
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"author_name": "AGENT_69",
"timestamp": "02/02/2023 08:34:55",
"content": "1. A residential house society is built is 4000 sq. m area. It has an underground tank to collect the rain\nwater, the length, breadth and height of which are 50 m, 40 m and 4 m respectively. If it rains at the rate of\n2 mm per minute for 5 hours, then calculate the depth of water in the tank. What value is depicted in this\nproblem ?",
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"author_name": "Shockshwat",
"timestamp": "02/02/2023 08:36:22",
"content": "delete",
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"timestamp": "02/02/2023 08:37:24",
"content": "!status",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 08:37:25",
"content": "```\nWhat step are you on?\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
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"id": 1070699488576012300,
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"timestamp": "02/02/2023 08:37:30",
"content": "2",
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"timestamp": "02/02/2023 08:42:57",
"content": "ah nvm",
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"author_name": "Shockshwat",
"timestamp": "02/02/2023 08:42:59",
"content": ".close",
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},
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"id": 1070700872364990500,
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"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 08:43:00",
"content": "Channel closed",
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}
] | help-9 | 930608be0d7045caa36aec161d5dc488 |
201,247 | [
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"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 08:44:42",
"content": "Available help channel!",
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},
{
"id": 1070702120942174200,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 08:47:58",
"content": "Hi, I have this Fourier series",
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"content": "Pinned a message.",
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"id": 1070702149660590200,
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"author_name": "draganb",
"timestamp": "02/02/2023 08:48:05",
"content": "$f(x)=4x+2=2+2\\pi+\\frac{8}{\\pi}\\sum_{n=1}^{\\infty}\\frac{(-1)^{n}-1}{n^2}cos(nx)$",
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"timestamp": "02/02/2023 08:48:07",
"content": "**draganb**",
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"author_name": "draganb",
"timestamp": "02/02/2023 08:48:30",
"content": "And using it, I somehow need to calculate this sum",
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"author_name": "draganb",
"timestamp": "02/02/2023 08:49:07",
"content": "$\\sum_{n=1}^{\\infty}\\frac{1}{(2n-1)^2}$",
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"timestamp": "02/02/2023 08:49:11",
"content": "**draganb**",
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"timestamp": "02/02/2023 08:49:21",
"content": "How would I do that?",
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"author_name": "dark knight",
"timestamp": "02/02/2023 08:53:30",
"content": "Dont actually know how to solve this but have you considered replacing (2n-1) with f(x) / 2 ?",
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"content": "f(x)/2 would just be 2x+1",
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"author_name": "draganb",
"timestamp": "02/02/2023 08:55:28",
"content": "2n-1 is not f(x)/2",
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"author_name": "draganb",
"timestamp": "02/02/2023 08:55:42",
"content": "This whole series is the definition of this function",
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"author_name": "draganb",
"timestamp": "02/02/2023 08:56:10",
"content": "n \"exists\" just in the series",
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"author_name": "dark knight",
"timestamp": "02/02/2023 09:00:14",
"content": "Ah ok i see. Welp, hopefully you get help soon. Good luck",
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"author_name": "draganb",
"timestamp": "02/02/2023 09:00:41",
"content": "Well this substitution you mentioned might have gave me an idea",
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"author_name": "draganb",
"timestamp": "02/02/2023 09:01:31",
"content": "If is substitute 2n-1 for n in the first series",
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"author_name": "draganb",
"timestamp": "02/02/2023 09:02:15",
"content": "Then it becomes",
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"id": 1070705738143510700,
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"author_name": "draganb",
"timestamp": "02/02/2023 09:02:20",
"content": "$-2\\sum_{n=1}^{\\infty}\\frac{1}{(2n-1)^2}$",
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"timestamp": "02/02/2023 09:02:22",
"content": "**draganb**",
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"timestamp": "02/02/2023 09:02:32",
"content": "for x=0, of course",
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"author_name": "draganb",
"timestamp": "02/02/2023 09:03:06",
"content": "But I don't know how that affects f(x)",
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"timestamp": "02/02/2023 09:04:08",
"content": "@Helpers",
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"timestamp": "02/02/2023 09:19:09",
"content": "@draganb Has your question been resolved?",
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"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 09:22:27",
"content": "@Helpers",
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},
{
"id": 1070718179866853400,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 09:51:47",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1070718182689611800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 09:51:47",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 83ee09606eed4bd0a57b78e250633d83 |
201,248 | [
{
"id": 1070718435027329000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 09:52:47",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1070718957117513900,
"author_id": 823548358487965700,
"author_name": "DiriDam",
"timestamp": "02/02/2023 09:54:52",
"content": "sorry for the very simple question, i was probably doodling in class when this was taught. \n\nE(x)=(x +1)² - (x - 1)²\nprove E(n^3) - E(n) is divisible by 24, for any value that n might have (and sorry for bad english, i dont know if i was explicit enough)\n\ni figured out E(x) = 4x",
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"id": 1070718959701213200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 09:54:52",
"content": "Pinned a message.",
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"id": 1070719596207816800,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 09:57:24",
"content": "E(n^3) = 4n^3",
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"id": 1070719618248872100,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 09:57:29",
"content": "E(n) = 4n",
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},
{
"id": 1070719845156536400,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 09:58:24",
"content": "So E(n^3) - E(n) = 4n^3 - 4n",
"attachments": [],
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},
{
"id": 1070719978376024200,
"author_id": 823548358487965700,
"author_name": "DiriDam",
"timestamp": "02/02/2023 09:58:55",
"content": "oh i get it now",
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},
{
"id": 1070720014409285600,
"author_id": 823548358487965700,
"author_name": "DiriDam",
"timestamp": "02/02/2023 09:59:04",
"content": "im stupeed",
"attachments": [],
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},
{
"id": 1070720108797898900,
"author_id": 313677919459213300,
"author_name": "draganb",
"timestamp": "02/02/2023 09:59:26",
"content": "So maybe try write it as 24*Q(n)",
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},
{
"id": 1070720141677039600,
"author_id": 823548358487965700,
"author_name": "DiriDam",
"timestamp": "02/02/2023 09:59:34",
"content": "ok",
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},
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"id": 1070720149713334300,
"author_id": 823548358487965700,
"author_name": "DiriDam",
"timestamp": "02/02/2023 09:59:36",
"content": ".close",
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},
{
"id": 1070720153186222100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 09:59:37",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 4d999243628b40209bda61332525f806 |
201,249 | [
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"id": 1070721486559645700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 10:04:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070728045301870600,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
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"content": "",
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"id": 1070728048887988400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 10:31:00",
"content": "Pinned a message.",
"attachments": [],
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"id": 1070729505108394100,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:36:47",
"content": "what is the amp function",
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},
{
"id": 1070729600927281200,
"author_id": 1056954465208521000,
"author_name": "Exodia_",
"timestamp": "02/02/2023 10:37:10",
"content": "Amplitude",
"attachments": [],
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:37:14",
"content": "amplitude and argument is the same i think",
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"author_name": "Exodia_",
"timestamp": "02/02/2023 10:37:23",
"content": "Yeah",
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:39:05",
"content": "whats (9, 36, 27, 81) supposed to mean?",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:39:14",
"content": "choices",
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"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:39:41",
"content": "what is the relation between Z_1 and Z_2?",
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},
{
"id": 1070730267049861100,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:39:48",
"content": "plotted on the complex plane",
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"id": 1070730694323609700,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:41:30",
"content": "its my first complex class so i dont know wdm",
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"id": 1070731142992498700,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:43:17",
"content": "do you know polar forms",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:43:22",
"content": "yes",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:43:31",
"content": "i used to",
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"id": 1070731233232945200,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:43:39",
"content": "express Z_1 and Z_2 in their polar forms",
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},
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"id": 1070731272718131300,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:43:48",
"content": "complex",
"attachments": [],
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},
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"id": 1070731303969882100,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:43:56",
"content": "X +iY",
"attachments": [],
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},
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"id": 1070731363830993000,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:44:10",
"content": "the one using the exponential function",
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"id": 1070731908641718300,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:46:20",
"content": "$r \\cdot e^{i \\theta}$",
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},
{
"id": 1070731918024384600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 10:46:22",
"content": "**rbit ✨**",
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:46:34",
"content": "have you seen this form before?",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:46:59",
"content": "yes , Euler",
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"id": 1070732172387958900,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:47:23",
"content": "how would you express Z1 in this form?",
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"id": 1070732327610745000,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:48:00",
"content": "3 (cos X + i sin x )",
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"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:48:26",
"content": "what is the argument of Z_1",
"attachments": [],
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"id": 1070732529470013400,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:48:48",
"content": "you dont really need sin and cos for this, just stay with the exponential function",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:49:46",
"content": "theta",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:50:06",
"content": "r (X +iY )",
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"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:50:37",
"content": "what is the magnitude of Z_1",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:50:38",
"content": "r =(X^2 + Y ^2 )^1/2",
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"id": 1070733124377530500,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:51:10",
"content": "not given",
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"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:51:23",
"content": "its just 3 (x + iy)",
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},
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"id": 1070733335170654300,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:52:00",
"content": "it is given",
"attachments": [],
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"id": 1070733368368582700,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:52:08",
"content": "yes 3",
"attachments": [],
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"id": 1070733392661971100,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:52:14",
"content": "yes",
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"id": 1070733417676800000,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:52:20",
"content": "so how would you write Z_1 in polar form",
"attachments": [],
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},
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"id": 1070733465114386400,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:52:31",
"content": ".",
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},
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"id": 1070733500048752800,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:52:39",
"content": "3 (x + iy)",
"attachments": [],
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},
{
"id": 1070733665606303900,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:53:19",
"content": "we could replace x with (9-y^2)^0.5",
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"id": 1070733733314953300,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:53:35",
"content": "no",
"attachments": [],
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"id": 1070733744421482500,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 10:53:37",
"content": "just use polar form",
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},
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"id": 1070733764940021800,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 10:53:42",
"content": "ok",
"attachments": [],
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},
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:57:22",
"content": "$Z_1 = r \\cdot e^{i \\theta}$",
"attachments": [],
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},
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"id": 1070734756507025500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 10:57:39",
"content": "**rbit ✨**",
"attachments": [
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "02/02/2023 10:57:43",
"content": "what is r?",
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},
{
"id": 1070735570474647700,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 11:00:53",
"content": ".",
"attachments": [],
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"reference": null
},
{
"id": 1070735697020977300,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 11:01:23",
"content": "and what is it",
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},
{
"id": 1070735705195688000,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 11:01:25",
"content": "modulus",
"attachments": [],
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"reference": null
},
{
"id": 1070735738288734300,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 11:01:33",
"content": "of x and y",
"attachments": [],
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},
{
"id": 1070735779413901400,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 11:01:43",
"content": "what is the exact value",
"attachments": [],
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},
{
"id": 1070735834719977500,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 11:01:56",
"content": "3",
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},
{
"id": 1070735862322708600,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 11:02:02",
"content": "yes",
"attachments": [],
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},
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"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 11:02:05",
"content": "and what is theta",
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},
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"id": 1070735930668884100,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 11:02:19",
"content": "mb",
"attachments": [],
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},
{
"id": 1070735944476537000,
"author_id": 610438546830000100,
"author_name": "NutronStar45",
"timestamp": "02/02/2023 11:02:22",
"content": "it's just theta",
"attachments": [],
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},
{
"id": 1070735966471471100,
"author_id": 362652644457840640,
"author_name": "[U777] ahmedkhlil",
"timestamp": "02/02/2023 11:02:27",
"content": "yes",
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"content": "and what is Z_2 in polar form?",
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"content": "same as z _1",
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"content": "but with diff in signs due to direction of theta",
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"content": "wdym",
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"timestamp": "02/02/2023 11:03:44",
"content": "what is the polar form",
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"content": "its in second quad",
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"content": "how do you know that it is in the second quadrant",
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"content": "sorry third",
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"timestamp": "02/02/2023 11:08:53",
"content": "by changing symbols of theta and alpha",
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"content": "how do you know that it is in the third quadrant",
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"content": "if th-alpha = 180",
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"content": "and",
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"content": "third quad -180+th = alpha",
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"content": "i ll give u photo cuz i dont have one",
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"content": "how do you know that alpha is in the first quadrant",
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"content": "positive of both of sine and cos",
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"content": "how do you know that the sine and cosine are both positive",
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"content": "he told us if u dont know imagine it 1st quad",
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"timestamp": "02/02/2023 11:22:28",
"content": "is it right , isnt it ?",
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"timestamp": "02/02/2023 11:24:21",
"content": "what is the polar form of Z_2",
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"timestamp": "02/02/2023 11:24:59",
"content": "3 ( x + i y )",
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"timestamp": "02/02/2023 11:40:00",
"content": "@[U777] ahmedkhlil Has your question been resolved?",
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"timestamp": "02/02/2023 11:55:01",
"content": "Channel closed",
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] | help-9 | 946c18f6573d43f0bb34703a97f849f5 |
201,250 | [
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"content": "Available help channel!",
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"content": "i have a question on integer partitions\ni am trying to understand how you can compute unique integer partitions given the following constraints:\n0) partions have exact size K eg when N=3 {3+2+1} {2+2+2} both have size 3. i read eulers paper (E158), but i got confused. order doesnt matter eg {2+3} = {3+2}\n1) summands <=K, eg when k=3 {3+1}, {1+1+1+1} are fine {4} is not since 4>K",
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"content": "Pinned a message.",
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"content": "if it helps i know (or i think i know) 0) is possible, but i dont know if there's a way to do 1)",
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"content": "@e2e4 Has your question been resolved?",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 36ef99babc3d4072b6c576d467b86b05 |
201,251 | [
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"content": "Available help channel!",
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"timestamp": "02/02/2023 12:55:10",
"content": "How to do part a??",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "02/02/2023 12:56:01",
"content": "differentiate f a few times",
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"author_name": "Denascite",
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"content": "then hopefully notice a pattern",
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"timestamp": "02/02/2023 12:56:15",
"content": "and prove it by induction",
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"content": "theres only a pattern in the denominator",
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"content": "it might help to first use a logarithm law on f",
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"timestamp": "02/02/2023 12:59:58",
"content": "is there a way to use taylor power series",
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"content": "cuz thats the subtopic",
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"content": "idk which centre of expansion tho",
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"content": "well the point of the exercise is to compute the taylor series",
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"content": "in part b)",
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"timestamp": "02/02/2023 13:02:50",
"content": "maybe splitting them up makes a more apparent pattern using $$\\ln\\frac{1+x}{1-x}=\\ln(1+x)-\\ln(1-x)$$",
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"content": "**Duh Hello**",
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"content": ".",
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"content": "hmm",
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"content": "one sec",
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"content": "i dont think theres a pattern",
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"content": "there is a pattern, it might just not be all that easy to tell",
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"timestamp": "02/02/2023 13:16:14",
"content": "oj",
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"timestamp": "02/02/2023 13:16:17",
"content": "oh*",
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"timestamp": "02/02/2023 13:16:56",
"content": "one sec ill send u till 4th derivative",
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"timestamp": "02/02/2023 13:19:25",
"content": "hopefully its right",
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"timestamp": "02/02/2023 13:19:30",
"content": ",rotate",
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"content": "ok",
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"timestamp": "02/02/2023 13:20:15",
"content": "notice a pattern now?",
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"timestamp": "02/02/2023 13:21:28",
"content": "the denominators have a pattern",
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"timestamp": "02/02/2023 13:21:44",
"content": "the numerators also do, its a factorial pattern",
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"timestamp": "02/02/2023 13:21:50",
"content": "oh yeahhh",
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"content": "so n factorial",
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"content": "not quite n!, but close. for example for the 4th we would have 4! but 4!=24 and we need 6",
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"content": "but what about the signs",
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"content": "good thing that 3!=6 so we can instead choose (n-1)!",
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"timestamp": "02/02/2023 13:23:24",
"content": "and for alternating signs we usually use $(-1)^n$ or some variation of that",
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"content": "ahh ok",
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"timestamp": "02/02/2023 13:23:27",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 13:24:03",
"content": "for even and odd numbers??",
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"timestamp": "02/02/2023 13:24:46",
"content": "for all numbers, but $(-1)^n$ is positive when n is even and negative when n is odd",
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"content": "**Duh Hello**",
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"timestamp": "02/02/2023 13:26:05",
"content": "yes i get it",
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"timestamp": "02/02/2023 13:26:17",
"content": "you can just change it to $(-1)^{n+1}$ if you want it to be negative when n is even and positive when odd",
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"timestamp": "02/02/2023 13:26:19",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 13:27:15",
"content": "hmm ok",
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"timestamp": "02/02/2023 13:29:39",
"content": "so i got my final eq as this",
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"timestamp": "02/02/2023 13:30:28",
"content": "where n is a natural num",
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"timestamp": "02/02/2023 13:31:18",
"content": "denom in 2nd fraction should be slightly different",
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"timestamp": "02/02/2023 13:31:35",
"content": "but other than that it looks right",
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"timestamp": "02/02/2023 13:31:37",
"content": "oh sorry",
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"timestamp": "02/02/2023 13:31:48",
"content": "(1-x)^n",
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"timestamp": "02/02/2023 13:32:20",
"content": "you can also now simplify this a bit further if you want but its not necessary. also depending on your class they might want you to prove this using induction",
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"timestamp": "02/02/2023 13:32:52",
"content": "also note that this is not correct for $n=0$, only for positive integers",
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"timestamp": "02/02/2023 13:32:55",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 13:33:05",
"content": "yes",
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"timestamp": "02/02/2023 13:33:17",
"content": ".",
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"timestamp": "02/02/2023 13:33:23",
"content": "its in the q",
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"timestamp": "02/02/2023 13:33:38",
"content": ".",
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"timestamp": "02/02/2023 13:33:44",
"content": "yes they do",
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"timestamp": "02/02/2023 13:34:44",
"content": "well then you gotta attempt to do that",
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"timestamp": "02/02/2023 13:34:53",
"content": "np ill do that",
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"timestamp": "02/02/2023 13:35:42",
"content": "also then for the b part",
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"timestamp": "02/02/2023 13:37:17",
"content": ",w taylor series formula",
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"timestamp": "02/02/2023 13:37:20",
"content": "Results provided by WolframAlpha",
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"timestamp": "02/02/2023 13:37:31",
"content": ",w general taylor series formula",
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"content": "Results provided by WolframAlpha",
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"timestamp": "02/02/2023 13:37:43",
"content": "hmm, seems it does not want to give that one",
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"content": "ok",
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"timestamp": "02/02/2023 13:46:01",
"content": "and also part c??",
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"timestamp": "02/02/2023 13:48:11",
"content": "just check the convergence?",
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"timestamp": "02/02/2023 13:48:29",
"content": "how to do that",
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"timestamp": "02/02/2023 13:48:54",
"content": "well did you get the taylor series written in a summation form?",
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"timestamp": "02/02/2023 13:49:32",
"content": "yes",
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"timestamp": "02/02/2023 13:49:49",
"content": "do you remember the different ways of checking convergence?",
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"timestamp": "02/02/2023 13:50:01",
"content": "ratio test,root test??",
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"timestamp": "02/02/2023 13:50:21",
"content": "stuff like that yes, then you will find for which values of x it does converge",
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"timestamp": "02/02/2023 13:51:07",
"content": "for example it will clearly diverge at $x=1$ since all the denominators go to zero",
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"timestamp": "02/02/2023 13:51:10",
"content": "**Duh Hello**",
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"content": "yes",
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"content": ",rccw",
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"timestamp": "02/02/2023 13:52:30",
"content": "this is what i got for b",
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"timestamp": "02/02/2023 13:52:46",
"content": "this is expanded at x0=0",
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"timestamp": "02/02/2023 13:53:24",
"content": ",w taylor series of ln((1+x)/(1-x)) at x=0",
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"timestamp": "02/02/2023 13:53:53",
"content": "Results provided by WolframAlpha",
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"timestamp": "02/02/2023 13:54:14",
"content": "does not look entirely right",
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"timestamp": "02/02/2023 13:54:33",
"content": "this is log tho",
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"timestamp": "02/02/2023 13:54:50",
"content": "log=ln for wolfram",
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"timestamp": "02/02/2023 13:54:57",
"content": "oh",
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"timestamp": "02/02/2023 13:54:59",
"content": "dont ask me why",
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"timestamp": "02/02/2023 13:55:04",
"content": "ok",
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"timestamp": "02/02/2023 13:56:46",
"content": "let me do it myself and ill see where you went wrong",
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"timestamp": "02/02/2023 13:56:52",
"content": "ok tyvm",
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"timestamp": "02/02/2023 13:57:25",
"content": "Also this is the formula I used",
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"content": "ah yeah, remember that this formula goes from $n=0$ but ours is not correct for $n=0$, we need to just add on our n=0 case and go from n=1 and onwards, hence we need to subtract 1 from each n in that formula and start from $n=1$",
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"timestamp": "02/02/2023 13:59:08",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 14:00:17",
"content": "well your nth derivative is good from n=1 and onwards",
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"timestamp": "02/02/2023 14:00:29",
"content": "but this formula starts from n=0",
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"content": "yes i understand what you r saying",
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"content": "so you dont need to touch your nth derivative formula, just that when you put it into the taylor formula you need to take out the special case of n=0 and start from n=1 and onwards, hence you should have $$f^{(0)}(0)+\\sum_{n=1}^\\infty \\frac{f^{(n)}(0)}{(n-1)!}(x-0)^{n-1}$$",
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"timestamp": "02/02/2023 14:02:07",
"content": "**Duh Hello**",
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"content": "ahh ok",
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"content": "but when we do that",
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"content": "wait actually i realize i might be wrong, we are not supposed to make it n-1 :pepega: my bad",
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"timestamp": "02/02/2023 14:04:42",
"content": "oh",
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"content": "np",
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"timestamp": "02/02/2023 14:05:59",
"content": "but you just plug in x=0 except for the $x^n$ part",
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"timestamp": "02/02/2023 14:06:02",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 14:07:15",
"content": "our $x_0$ is 0 right? so we just put it into our $f^{(n)}$ formula that we are putting in here",
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"content": "**Duh Hello**",
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"content": "yes ik",
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"content": "i did that",
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"timestamp": "02/02/2023 14:07:39",
"content": "then simplify as much as you can",
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"content": "yes ik",
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"content": "i did that",
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"timestamp": "02/02/2023 14:08:09",
"content": "and you should get something which is recognisable",
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"timestamp": "02/02/2023 14:08:14",
"content": "i reached till here",
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"content": ".",
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"timestamp": "02/02/2023 14:13:16",
"content": "oh right :pepega: yeah for some reason i thought that one was still wrong, mb. still need to change the sum thing but yeah. ok so now we just need to see that whenever the $(-1)^{n+1}-1=0$ we will just skip over this part. once you have fixed ur sum you should see that this happens whenever n is even, so you can rewrite the sum to only use the times where n is odd",
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"timestamp": "02/02/2023 14:13:32",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 14:14:48",
"content": "and after that you should get it on the same form as wolfram and can now find the range of convergence",
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"timestamp": "02/02/2023 14:15:20",
"content": "so my sum is wrong??",
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"timestamp": "02/02/2023 14:15:26",
"content": "or am i supposed to write two sums",
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"timestamp": "02/02/2023 14:15:32",
"content": "one sum",
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"timestamp": "02/02/2023 14:15:34",
"content": "not understanding what you r saying",
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"timestamp": "02/02/2023 14:15:55",
"content": "ok but mine needs change cuz of the zero??",
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"timestamp": "02/02/2023 14:16:04",
"content": "yeah you still need it to start from n=1",
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"timestamp": "02/02/2023 14:16:12",
"content": "ok",
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"timestamp": "02/02/2023 14:16:14",
"content": "since the n=0 case doesnt work",
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"timestamp": "02/02/2023 14:16:32",
"content": "yes i got that",
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"timestamp": "02/02/2023 14:16:37",
"content": "but how do i do that",
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"timestamp": "02/02/2023 14:16:52",
"content": "you just cross out the 0 and put a 1",
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"timestamp": "02/02/2023 14:17:33",
"content": "$\\sum_{n=1}^\\infty\\frac{(-1)^{n+1}-1}{n}x^n$",
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"timestamp": "02/02/2023 14:17:47",
"content": "oh",
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"timestamp": "02/02/2023 14:17:47",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 14:18:07",
"content": "but that not the formula right",
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"timestamp": "02/02/2023 14:22:13",
"content": "it is basically right, but i think weve made a mistake somewhere. anyhow ill just go through the next steps with this one so you can see the pattern, the numerator we have $$(-1)^{n+1}-1$$this is equal to $-2$ when $n$ is even and $0$ when $n$ is odd",
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"timestamp": "02/02/2023 14:22:16",
"content": "**Duh Hello**",
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"timestamp": "02/02/2023 14:22:21",
"content": "meaning that half of the terms vanish",
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"timestamp": "02/02/2023 14:23:24",
"content": "my issue is that its supposed to be 2 when n is odd and 0 when n is even so that leads me to believe weve done a mistake somewhere",
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"timestamp": "02/02/2023 14:24:45",
"content": ",w \\sum_{n=1}^\\infty \\frac{(-1)^{n+1}-1}{n}x^n",
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"timestamp": "02/02/2023 14:24:49",
"content": "Results provided by WolframAlpha",
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"timestamp": "02/02/2023 14:25:05",
"content": "seems we have missed a minus sign somewhere",
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"timestamp": "02/02/2023 14:25:25",
"content": "yes i get that",
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"timestamp": "02/02/2023 14:26:28",
"content": "do you see how you can rewrite the sum from that?",
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"timestamp": "02/02/2023 14:26:34",
"content": "omg",
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"timestamp": "02/02/2023 14:26:39",
"content": "i got the mistake",
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"timestamp": "02/02/2023 14:26:59",
"content": "i messed up a sign ffs",
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"timestamp": "02/02/2023 14:27:12",
"content": ".",
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"timestamp": "02/02/2023 14:27:32",
"content": "firs derivative is plus not minus",
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"timestamp": "02/02/2023 14:30:10",
"content": "@Duh Hello i messed up there yeah??",
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"timestamp": "02/02/2023 14:32:33",
"content": "ah yeah lol",
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"timestamp": "02/02/2023 14:32:46",
"content": "im so sorry 😭",
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"timestamp": "02/02/2023 14:32:49",
"content": "well then, thats a lot of minus signs to fix :omegaLUL:",
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"timestamp": "02/02/2023 14:35:21",
"content": "i fixed it",
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"author_name": "Mazda",
"timestamp": "02/02/2023 14:35:32",
"content": "the second part of the sum we just change all signs i think",
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"timestamp": "02/02/2023 14:35:56",
"content": "yeah that should fix it, now it will become the same as what wolfram found",
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"id": 1070789806570864800,
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"timestamp": "02/02/2023 14:36:24",
"content": "but we need to change our derivative formula as well right",
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"timestamp": "02/02/2023 14:37:32",
"content": "ye",
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"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:37:50",
"content": "so it just becomes positive instead of negative",
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"id": 1070790204501262500,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:37:59",
"content": "on the secomd part",
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"id": 1070790241000100000,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:38:07",
"content": "wait no",
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"id": 1070790321870483600,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:38:27",
"content": "does it?",
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"id": 1070790473943355500,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:39:03",
"content": "sorry i got a call so was multi tasking lol, yeah the 2nd half should be positive not negative",
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"id": 1070790537306718300,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:39:18",
"content": "2nd half of this",
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"timestamp": "02/02/2023 14:39:26",
"content": "np",
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"id": 1070790697126469800,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:39:56",
"content": "right",
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},
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"id": 1070790874126106800,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:40:38",
"content": "and the sum also changes in the second part",
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"id": 1070790894464286800,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:40:43",
"content": "- to +",
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},
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"id": 1070790946880499800,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:40:56",
"content": "so when you group it you get $$(n-1)!\\left(\\frac{(-1)^{n+1}}{(1+x)^n}+\\frac{1}{(1-x)^n}\\right)$$",
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},
{
"id": 1070790975666008200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 14:41:02",
"content": "**Duh Hello**",
"attachments": [
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"id": 1070791215303368800,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:42:00",
"content": "yes and x is zero",
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"id": 1070791277328740500,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:42:14",
"content": "and then yeah we put in x=0 here and plug that back into the taylor thing, you get the exact same except 2nd half is positive, and now what i said it should be here is true so we get it on the same form as wolfram alpha",
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"id": 1070791327748468700,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:42:26",
"content": "yes",
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},
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"id": 1070791520271212500,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:43:12",
"content": "and then from there you use the power rule to just get a simple convergence test",
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},
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"id": 1070791597798740000,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:43:31",
"content": "whats a power rule",
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},
{
"id": 1070791598234947600,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:43:31",
"content": "that was a lot more work than i thought it was gonna be lol",
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},
{
"id": 1070791834386833400,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:44:27",
"content": "when does $\\sum x^n$ converge?",
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},
{
"id": 1070791843278757900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 14:44:29",
"content": "**Duh Hello**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1070791843052273836/183414609833754624.png",
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{
"id": 1070791966645829800,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:44:59",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070791984589054100,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:45:03",
"content": "how do we do it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070792081641046100,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:45:26",
"content": "you should probably know this by the time you get to taylor series, if you need a refresher read here https://tutorial.math.lamar.edu/classes/calcii/PowerSeries.aspx",
"attachments": [],
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},
{
"id": 1070792310650056700,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:46:21",
"content": "i think im done for now tho, sorry that i was sort of brain dead for parts of this lol. the radius of convergence of a simple power series is something you can just google pretty easily yourself",
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},
{
"id": 1070792365322817700,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:46:34",
"content": "ok np",
"attachments": [],
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},
{
"id": 1070792404485034000,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:46:43",
"content": "tysm im sorry for using your time",
"attachments": [],
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"reference": null
},
{
"id": 1070792452081987700,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "02/02/2023 14:46:54",
"content": "nah u didnt",
"attachments": [],
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"reference": null
},
{
"id": 1070792484076138600,
"author_id": 252115810007515140,
"author_name": "Mazda",
"timestamp": "02/02/2023 14:47:02",
"content": ".close",
"attachments": [],
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},
{
"id": 1070792486806634600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 14:47:03",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | cd24477c2af445bf8a37e941550c83f9 |
201,252 | [
{
"id": 1070792739186282500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 14:48:03",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1070795733743177700,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 14:59:57",
"content": "Hey guys",
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},
{
"id": 1070795736414957700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 14:59:57",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1070795733743177700,
"channelId": 486844875632017400,
"guildId": null
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"id": 1070795762277040300,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:00:04",
"content": "How do i denote somethign as constant?",
"attachments": [],
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"reference": null
},
{
"id": 1070795917076209800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "02/02/2023 15:00:41",
"content": "what do you mean",
"attachments": [],
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"reference": null
},
{
"id": 1070795936747503700,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:00:45",
"content": "A=5 :KEK:",
"attachments": [],
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"reference": null
},
{
"id": 1070795937993199700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "02/02/2023 15:00:46",
"content": "*let a be constant*?",
"attachments": [],
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},
{
"id": 1070795942263017500,
"author_id": 397054428865364000,
"author_name": "Bobert",
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"content": "",
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"id": 1070795948302811100,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:00:48",
"content": "would this be correct?",
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},
{
"id": 1070796053894402200,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:01:13",
"content": "like how to denote that a variable has unchanging value",
"attachments": [],
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"reference": null
},
{
"id": 1070796092364574700,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:01:22",
"content": "i can't remember if its this symbol or not",
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"reference": null
},
{
"id": 1070796187613020300,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:01:45",
"content": "oh",
"attachments": [],
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"reference": null
},
{
"id": 1070796211453427800,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:01:51",
"content": "do you have a physical relationship?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070796227697987700,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:01:55",
"content": "between those two?",
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"id": 1070796295448559700,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:02:11",
"content": "wdym",
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"reference": null
},
{
"id": 1070796367359918200,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:02:28",
"content": "V is constant im just trying to remember what the correct notation is",
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},
{
"id": 1070796584939442300,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:03:20",
"content": "∝ ?",
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},
{
"id": 1070796621752827900,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:03:29",
"content": "I mean that's why I asked if you have a relationship, you've wrote that v is directly proportional two a ratio of two other variables",
"attachments": [],
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},
{
"id": 1070796633358467200,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:03:31",
"content": "presumably the other two",
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},
{
"id": 1070796705617952900,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:03:49",
"content": "ie av=t , v=t/a or something of the likes",
"attachments": [],
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"reference": null
},
{
"id": 1070796815655518200,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:04:15",
"content": "yes this from a physics problem",
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},
{
"id": 1070796848668881000,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:04:23",
"content": "sure",
"attachments": [],
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},
{
"id": 1070796889429123200,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:04:32",
"content": "T/P = V",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070796906873229400,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:04:37",
"content": "and since V is always the same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070796933343490200,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:04:43",
"content": "T/P is also always teh same value",
"attachments": [],
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"reference": null
},
{
"id": 1070796980617490600,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:04:54",
"content": "$\\frac{T_1}{P_1}=\\frac{T_2}{P_2}=V$",
"attachments": [],
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"reference": null
},
{
"id": 1070796981192110300,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:04:54",
"content": "But how do i write that with math symbols?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070796991166160900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 15:04:57",
"content": "**Clarkie**",
"attachments": [
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{
"id": 1070797005099643000,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:05:00",
"content": "good question tbh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070797010153771000,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:05:01",
"content": ":KEK:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070797038142373900,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:05:08",
"content": ":blobcry:",
"attachments": [],
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"reference": null
},
{
"id": 1070797060074389600,
"author_id": 996499674351546400,
"author_name": "Vegan",
"timestamp": "02/02/2023 15:05:13",
"content": "Can I get some help?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070797082216116500,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "02/02/2023 15:05:18",
"content": "#❓how-to-get-help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070797126705107000,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:05:29",
"content": "its ok the teacher will accept it its probably fine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070797194313093100,
"author_id": 397054428865364000,
"author_name": "Bobert",
"timestamp": "02/02/2023 15:05:45",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070797197232320500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 15:05:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | f493b158b9ff42e8a15fa47680ef3821 |
201,253 | [
{
"id": 1070798267761299600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 15:10:01",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070798849234456600,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:12:20",
"content": "Uhh, this is such a basic concept that I've never really understood and I'm not really sure what to Google.\ne.g. Solve (1/2)|x-9|-3 = -(1/3)x+5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070798851268685800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 15:12:20",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1070798849234456600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1070799428354572400,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:14:38",
"content": "Surely x has 2 solutions",
"attachments": [],
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"id": 1070799493219491800,
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"author_name": "Willzy",
"timestamp": "02/02/2023 15:14:53",
"content": "wait ignore my im just being stupid",
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"id": 1070799542351568900,
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"content": "ffs",
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},
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"id": 1070799561230139500,
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"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:09",
"content": "🤦♂️",
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},
{
"id": 1070799616620110000,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:23",
"content": "!close",
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},
{
"id": 1070799633380540400,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:27",
"content": "!quit",
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},
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"id": 1070799653945217000,
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"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:31",
"content": ".close",
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},
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"id": 1070799657657192400,
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"timestamp": "02/02/2023 15:15:32",
"content": "Channel closed",
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}
] | help-9 | 5bc6b9a3852b4af580bc02353c91c992 |
201,254 | [
{
"id": 1036732928987775100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 16:06:31",
"content": "Available help channel!",
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},
{
"id": 1036735574901534800,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "10/31/2022 16:17:02",
"content": "havent touched parabolas in forever, could anyone remind me on how to work through this",
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"content": "Pinned a message.",
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{
"id": 1036736538211528800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:20:52",
"content": "https://www.cuemath.com/vertex-formula/",
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{
"id": 1036736573384962200,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "10/31/2022 16:21:00",
"content": "Vertex form or \"standard form\" as written on the note is y=a(x-p)^2 + q where (p,q) is the vertex. You are given (p,q) and a (x,y) point. All you need to do is to plug in the given and find a to state the equation",
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"timestamp": "10/31/2022 16:21:30",
"content": "ahh ok makes sense",
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"id": 1036736717367033900,
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"author_name": "poonj",
"timestamp": "10/31/2022 16:21:35",
"content": "just forget where to plug in values",
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},
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"id": 1036737295874805900,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "10/31/2022 16:23:52",
"content": ".close",
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},
{
"id": 1036737299146342400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 16:23:53",
"content": "Channel closed",
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}
] | help-9 | 251241ad0ecc4204ba33165efb39c127 |
201,255 | [
{
"id": 1070799686904074400,
"author_id": 1070419431110484000,
"author_name": "nyashwarrior",
"timestamp": "02/02/2023 15:15:39",
"content": ".reopen",
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},
{
"id": 1070799709704294400,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:45",
"content": "?",
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},
{
"id": 1070799721796468900,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:48",
"content": "did it not work",
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},
{
"id": 1070799757334810600,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:15:56",
"content": ".close",
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},
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"id": 1070799770307801200,
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"content": ".reopen",
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},
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"id": 1070799778276982900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 15:16:01",
"content": "✅",
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},
{
"id": 1070799785084326000,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:16:03",
"content": "wtf",
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},
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"id": 1070799793481334900,
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"author_name": "Willzy",
"timestamp": "02/02/2023 15:16:05",
"content": ".close",
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},
{
"id": 1070799797319118800,
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"timestamp": "02/02/2023 15:16:06",
"content": "Channel closed",
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}
] | help-9 | cc3d9217115a459dac18acbecc4352dd |
201,256 | [
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"id": 1070799835717959700,
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"author_name": "Willzy",
"timestamp": "02/02/2023 15:16:15",
"content": "I've completly lost it",
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},
{
"id": 1070799894668914800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "02/02/2023 15:16:29",
"content": "[only the OP, and helpful/helpers can close channels]",
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},
{
"id": 1070799989665714300,
"author_id": 290016375810818050,
"author_name": "Willzy",
"timestamp": "02/02/2023 15:16:52",
"content": "Alright",
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},
{
"id": 1070802299972235300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 15:26:02",
"content": "Available help channel!",
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},
{
"id": 1070803343603138700,
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"author_name": "Alpaka",
"timestamp": "02/02/2023 15:30:11",
"content": "How do I differentiate these",
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"timestamp": "02/02/2023 15:30:12",
"content": "Pinned a message.",
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"content": ".close",
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},
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"content": "Channel closed",
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}
] | help-9 | a7db103c0e8447cb88b975cc1e04545c |
201,257 | [
{
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"content": "Available help channel!",
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},
{
"id": 1070809910457159700,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "02/02/2023 15:56:17",
"content": "Hey guys could someone help me out please",
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"content": "Pinned a message.",
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"id": 1070810086995411100,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "02/02/2023 15:56:59",
"content": "what formula do you have for tan(A+B)?",
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},
{
"id": 1070810915253010600,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "02/02/2023 16:00:16",
"content": "The proof",
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},
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"timestamp": "02/02/2023 16:16:44",
"content": "@hoggersfc Has your question been resolved?",
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"timestamp": "02/02/2023 16:46:50",
"content": "@hoggersfc Has your question been resolved?",
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"timestamp": "02/02/2023 17:46:55",
"content": "@hoggersfc Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | f83027fdef9f42449f8103af47a39f6d |
201,258 | [
{
"id": 1070859757235220500,
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"timestamp": "02/02/2023 19:14:21",
"content": "Available help channel!",
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},
{
"id": 1070860476868739200,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
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"content": "Pinned a message.",
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"id": 1070860554274619500,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "02/02/2023 19:17:31",
"content": "I just finished defining subtraction for Natural numbers not including 0",
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},
{
"id": 1070860716904554600,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "02/02/2023 19:18:10",
"content": "but im confused for 2b",
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{
"id": 1070860837134278700,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "02/02/2023 19:18:39",
"content": "I could say -m < -k and then add n to both sides to reach the intended solution n-m < n-k",
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},
{
"id": 1070860878829854800,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "02/02/2023 19:18:49",
"content": "but does -m < -k even make any sense",
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},
{
"id": 1070860933536166000,
"author_id": 202935547440791550,
"author_name": "Cryptarch",
"timestamp": "02/02/2023 19:19:02",
"content": "considering they dont exist in the set of natural numbers",
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"timestamp": "02/02/2023 19:34:02",
"content": "@Cryptarch Has your question been resolved?",
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"timestamp": "02/02/2023 20:05:07",
"content": "@Cryptarch Has your question been resolved?",
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"timestamp": "02/02/2023 20:35:08",
"content": "Channel closed",
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}
] | help-9 | fda0dd6256004cd79871452474539f32 |
201,259 | [
{
"id": 1070880340295569500,
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"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 20:36:09",
"content": "Available help channel!",
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},
{
"id": 1070880924142678100,
"author_id": 909218746801979400,
"author_name": "xzino",
"timestamp": "02/02/2023 20:38:28",
"content": "Prove that there are no non-zero integers a, b and c for which $9a^3 + 10b^3 + 6c^3 = 0 $\ncan anyone one give me an idea of how to go about this I have used mod 7 but couldn't figure out a solution still",
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"id": 1070880927003197400,
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"timestamp": "02/02/2023 20:38:29",
"content": "Pinned a message.",
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"id": 1070881060868595800,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "02/02/2023 20:39:00",
"content": "by mod 5 i got c^3-a^3=0(mod 5)",
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},
{
"id": 1070881117315530900,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "02/02/2023 20:39:14",
"content": "but then its also useless",
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},
{
"id": 1070881672477802600,
"author_id": 909218746801979400,
"author_name": "xzino",
"timestamp": "02/02/2023 20:41:26",
"content": "yeah I have tried mod 7 as you have suggested it gets messy for 7k+1",
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},
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"timestamp": "02/02/2023 20:56:26",
"content": "@xzino Has your question been resolved?",
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"timestamp": "02/02/2023 21:26:38",
"content": "@xzino Has your question been resolved?",
"attachments": [],
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"timestamp": "02/02/2023 21:56:38",
"content": "Channel closed",
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}
] | help-9 | bba2713cee8e44c7a2adc31e1453b618 |
201,260 | [
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"content": "Available help channel!",
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},
{
"id": 1070901921533153400,
"author_id": 215761998795898880,
"author_name": "Atsukii",
"timestamp": "02/02/2023 22:01:54",
"content": "hi, can I have some indication regarding this pls ?",
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"content": "Pinned a message.",
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"timestamp": "02/02/2023 22:16:54",
"content": "@Atsukii Has your question been resolved?",
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"timestamp": "02/02/2023 22:48:50",
"content": "@Atsukii Has your question been resolved?",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | d4f1da69d7bd4f48912b7f3efdba2bed |
201,261 | [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/02/2023 23:10:23",
"content": "Available help channel!",
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"id": 1070919389462925300,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:11:19",
"content": "Need to find values for m and b, this is what I have so far...",
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"author_name": "has",
"timestamp": "02/02/2023 23:12:10",
"content": "I got b value as -5 but this is incorrect, I am sure my m is correct though",
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{
"id": 1070919648553468000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:12:20",
"content": "Can someone please help me?",
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},
{
"id": 1070919942876168200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:13:31",
"content": "So u found the point (e,15e-6)",
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},
{
"id": 1070920021154476000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:13:49",
"content": "Sorry my slope is",
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},
{
"id": 1070920036706955400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:13:53",
"content": "15 - (6/e)",
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"id": 1070920089169309700,
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"author_name": "has",
"timestamp": "02/02/2023 23:14:05",
"content": "Yes found that point",
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},
{
"id": 1070920213601722400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:14:35",
"content": "Ok that’s correct slope",
"attachments": [],
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},
{
"id": 1070920353326571600,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:15:08",
"content": "I got 2 different values for b and they are both incorrect",
"attachments": [],
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},
{
"id": 1070920478002254000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:15:38",
"content": "So $y - y_1 = m(x - x_1)$ where $(x_1,y_1)$ and $m$ is slope",
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},
{
"id": 1070920486990663700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/02/2023 23:15:40",
"content": "**Stephen**",
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"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:16:06",
"content": "How can I get the b value through that?",
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},
{
"id": 1070920707162247300,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:16:33",
"content": "Well, first plug in our values and you will seee",
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},
{
"id": 1070920771054088200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:16:48",
"content": "That’s point slope form",
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},
{
"id": 1070920809687830700,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:16:57",
"content": "Yeah",
"attachments": [],
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},
{
"id": 1070920813198446600,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:16:58",
"content": "We can turn it into slope intercept form pretty easily",
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},
{
"id": 1070920832366428300,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:17:03",
"content": "Ohh",
"attachments": [],
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},
{
"id": 1070920872002605200,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:17:12",
"content": "okay let me first sub and see what I can do next",
"attachments": [],
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},
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"id": 1070921333598343300,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:19:02",
"content": "",
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"id": 1070921364803965000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:19:10",
"content": "Im not sure what to do now",
"attachments": [],
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},
{
"id": 1070921463143600300,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:19:33",
"content": "Simplify",
"attachments": [],
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},
{
"id": 1070922078657712100,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:22:00",
"content": "It's because there are 2 variables thats why im struggling",
"attachments": [],
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},
{
"id": 1070922246635405300,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:22:40",
"content": "How can I simplify it?",
"attachments": [],
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},
{
"id": 1070922280076574700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:22:48",
"content": "Let’s start with the left",
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},
{
"id": 1070922298699300900,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:22:52",
"content": "What do u think u can do there",
"attachments": [],
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},
{
"id": 1070922340860436500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:23:02",
"content": "With that first minus sign",
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},
{
"id": 1070922579847692400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:23:59",
"content": "I can add (15e - 6) to both sides",
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},
{
"id": 1070922721682264200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:24:33",
"content": "Ok sure do that",
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},
{
"id": 1070922807472558100,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:24:54",
"content": "Then do I expand the 15-(6/e) to the (x-e)",
"attachments": [],
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},
{
"id": 1070922809162862700,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:24:54",
"content": "?",
"attachments": [],
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},
{
"id": 1070922827689119700,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:24:58",
"content": "distribute it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070922832990703600,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:25:00",
"content": "Yes",
"attachments": [],
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},
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"id": 1070923238798012400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:26:36",
"content": "",
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"id": 1070923247413100500,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:26:38",
"content": "left with this now",
"attachments": [],
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},
{
"id": 1070923350173556900,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:27:03",
"content": "So the b value would be -6/e?",
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},
{
"id": 1070924103168561200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:30:03",
"content": "Looks good",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070924207501885400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:30:27",
"content": "But its wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070924232663498800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:30:33",
"content": "Wat",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070924233955356700,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:30:34",
"content": "The answer is supposed to be 0",
"attachments": [],
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},
{
"id": 1070924402532819000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:31:14",
"content": "I was told a few times to use the point slope form but I never got the right answer either",
"attachments": [],
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},
{
"id": 1070924428529127400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:31:20",
"content": "so I just went on symbolab",
"attachments": [],
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},
{
"id": 1070924471277469700,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:31:30",
"content": "Put the original y=mx+b equation I got",
"attachments": [],
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},
{
"id": 1070924486410510300,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:31:34",
"content": "And it gave me 0",
"attachments": [],
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},
{
"id": 1070924502285955200,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:31:38",
"content": "I still couldnt solve it myself though",
"attachments": [],
"mentions": [],
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},
{
"id": 1070924541519462400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:31:47",
"content": "And I tried putting 0 as an answer and it worked",
"attachments": [],
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},
{
"id": 1070924598884966400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:32:01",
"content": "But im just trying to understand what I should have done thats why i was asking for help",
"attachments": [],
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},
{
"id": 1070924704287830000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:32:26",
"content": "I asked symbolab to solve for b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070924709895602200,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:32:27",
"content": "*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070924972748460200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:33:30",
"content": "Lemme double check our work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070925000640573600,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:33:36",
"content": "Ok thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070925941951451100,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:37:21",
"content": "So ur hw solution is saying that b=0?",
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},
{
"id": 1070926122038075400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:38:04",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070926231865934000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:38:30",
"content": "",
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},
{
"id": 1070926371523674100,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:39:03",
"content": "This is just a practice not assignment or anything",
"attachments": [],
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"reference": null
},
{
"id": 1070926440155066400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:39:20",
"content": "But i got 0 from symbolab anyway, now im just trying to figure out how",
"attachments": [],
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"reference": null
},
{
"id": 1070926981081862300,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:41:29",
"content": "I don't wanna take up too much of your time, I understand the procedure. So you don't need to help me figure it out its all good. \nThanks for your help, I really appreciate it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070927158278627500,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:42:11",
"content": "Unless you want to figure it out, thats fine by me I'd be happy to find out whats wrong. But if its too much time, its all good.",
"attachments": [],
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"reference": null
},
{
"id": 1070927233641873400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:42:29",
"content": "Yea I’m gonna solve this hold on",
"attachments": [],
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"reference": null
},
{
"id": 1070927248821067900,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:42:32",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070927519450153000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:43:37",
"content": "Wait what lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070927563112841300,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:43:47",
"content": "Xd just a silly mistake",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070927584319242200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:43:52",
"content": "Reading too fast",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070927628137148400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:44:03",
"content": "Look at the third line",
"attachments": [],
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"reference": null
},
{
"id": 1070927693501186000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:44:19",
"content": "Simplify again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070927778742010000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:44:39",
"content": "U made a mistake in the transcription between the 3rd and 4th lines",
"attachments": [],
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"reference": null
},
{
"id": 1070927801621954700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:44:44",
"content": "Just take a look and u will see it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070928007331594200,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:45:33",
"content": "I missed the x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070928044501504100,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:45:42",
"content": "Xd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1070928064176980000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:45:47",
"content": "Rip bruh",
"attachments": [],
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},
{
"id": 1070928073861648400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:45:49",
"content": "Lmaoo",
"attachments": [],
"mentions": [],
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},
{
"id": 1070928102315798700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:45:56",
"content": "Good that we found it tho",
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"timestamp": "02/02/2023 23:45:59",
"content": "Yeah",
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"author_name": "has",
"timestamp": "02/02/2023 23:46:08",
"content": "So now",
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"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:46:13",
"content": "What do I do?",
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"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:46:36",
"content": "Find lcd?",
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"id": 1070928364229111800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "02/02/2023 23:46:58",
"content": "Wdym",
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"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:47:07",
"content": "Ohhh",
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"timestamp": "02/02/2023 23:47:07",
"content": "Oh",
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"id": 1070928414548181000,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:47:10",
"content": "I understand",
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"id": 1070928424111198200,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:47:13",
"content": "There is no b value",
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"timestamp": "02/02/2023 23:47:13",
"content": "To combine fractions",
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"timestamp": "02/02/2023 23:47:28",
"content": "Only x terms so no b value",
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"timestamp": "02/02/2023 23:47:28",
"content": "If there was no x that would be the b value then right",
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"id": 1070928498652356600,
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"timestamp": "02/02/2023 23:47:30",
"content": "Yeah",
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"id": 1070928501328314400,
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"author_name": "has",
"timestamp": "02/02/2023 23:47:31",
"content": "Ok",
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"id": 1070928507976286300,
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"author_name": "has",
"timestamp": "02/02/2023 23:47:33",
"content": "Thanks a lot",
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"timestamp": "02/02/2023 23:47:35",
"content": "Np",
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"timestamp": "02/02/2023 23:47:39",
"content": "lol stupid mistake as always",
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"id": 1070928551357984900,
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"author_name": "Stephen",
"timestamp": "02/02/2023 23:47:43",
"content": "Xddd",
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"id": 1070928576293113900,
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"author_name": "Stephen",
"timestamp": "02/02/2023 23:47:49",
"content": "Dw it happens to everyone",
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"id": 1070928604118138900,
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"timestamp": "02/02/2023 23:47:56",
"content": "Yeah haha",
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"id": 1070928638700175400,
"author_id": 1009333162050076700,
"author_name": "has",
"timestamp": "02/02/2023 23:48:04",
"content": "Again appreciate your help!",
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"id": 1070928745155801100,
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"timestamp": "02/02/2023 23:48:29",
"content": "No problem, lmk if u ever need help and if I can, and I have time, I’ll help",
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"timestamp": "02/02/2023 23:48:47",
"content": "I like these kinda problems",
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"timestamp": "02/02/2023 23:49:51",
"content": "Yeah I like solving these kind of questions but I always mess up somewhere",
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"timestamp": "02/02/2023 23:50:02",
"content": "And yeah that sounds awesome. Thank you",
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] | help-9 | 017b6d014a21445cb052901b866fea80 |
201,262 | [
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"content": "@TheFinestMeme Has your question been resolved?",
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] | help-9 | 038c8ba80f00465d96ade4dd236c4047 |
201,263 | [
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"content": "1.5* 3/2 +2.5*1/3 =",
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] | help-9 | af693d473ede422e9ed620b7e110aa06 |
201,264 | [
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"author_name": "Arven",
"timestamp": "02/03/2023 06:44:06",
"content": "Would really appreciate some help on this problem, not really sure how to tackle this :|",
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"timestamp": "02/03/2023 06:45:21",
"content": "I would try drawing perpendicular lines to force right angles to find other angles and play with the formula (n-2) x 180 for the total degrees in a n sided regular polygon",
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"content": "Exactly the lines I was thinking along lmao",
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"timestamp": "02/03/2023 06:45:52",
"content": "This is what I have come up with so far",
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"timestamp": "02/03/2023 06:46:36",
"content": "But I dont really see anything else I can do here...",
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"content": "I think you are going the wrong direction ? you want to find degrees of one angle so try forcing the lines to be 'inside' the polygon",
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"timestamp": "02/03/2023 06:47:11",
"content": "Though your drawing does help",
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"content": "So extend them inside, see what you can do",
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"timestamp": "02/03/2023 06:49:43",
"content": "I've found this but idk if this is useful Im gonna keep looking for other things",
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"timestamp": "02/03/2023 06:50:04",
"content": "You're actually very close",
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"id": 1071034882433749000,
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"author_name": "conner",
"timestamp": "02/03/2023 06:50:14",
"content": "the angle C D X where x is the right angle is what?",
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"id": 1071034906332893200,
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"author_name": "conner",
"timestamp": "02/03/2023 06:50:20",
"content": "and what can you add to that angle to get angle D ?",
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"id": 1071034934879334400,
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"timestamp": "02/03/2023 06:50:27",
"content": "very visually intense",
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"author_name": "Arven",
"timestamp": "02/03/2023 06:51:35",
"content": "Ohhh I got it",
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"id": 1071035277927268400,
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"timestamp": "02/03/2023 06:51:49",
"content": "156 right",
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"timestamp": "02/03/2023 06:51:51",
"content": "This is also a right angle",
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"timestamp": "02/03/2023 06:51:56",
"content": "156",
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"timestamp": "02/03/2023 06:51:56",
"content": "Yep",
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"timestamp": "02/03/2023 06:51:57",
"content": "Yeah!",
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"timestamp": "02/03/2023 06:52:09",
"content": "Thanks man I really appreciate the help @conner",
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"author_name": "Arven",
"timestamp": "02/03/2023 06:52:13",
"content": "I hope you have a good day",
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"timestamp": "02/03/2023 06:52:17",
"content": "no problem, you too :)",
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"timestamp": "02/03/2023 06:52:21",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1071035415399768000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 06:52:21",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 25c85d7110674013bd19b3ad7328e2a9 |
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