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"id": 956033327519912000,
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"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 23:35:07",
"content": "Available help channel!",
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"timestamp": "03/22/2022 23:44:05",
"content": "Pinned a message.",
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"id": 956035624777941000,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/22/2022 23:44:15",
"content": "does anyone know the 2 primary functions for this",
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{
"id": 956035704083853300,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/22/2022 23:44:34",
"content": "ik volume is x(10-2x)(10-2x)",
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"id": 956035717379813400,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/22/2022 23:44:37",
"content": "idk the other",
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{
"id": 956035734287056900,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/22/2022 23:44:41",
"content": "this is an optimization question",
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"id": 956038052835385300,
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"timestamp": "03/22/2022 23:53:54",
"content": "@Helpers",
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{
"id": 956039202959663100,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/22/2022 23:58:28",
"content": "anyone",
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{
"id": 956040966421237800,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/23/2022 00:05:28",
"content": "@Helpers",
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"id": 956042145792413700,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/23/2022 00:10:09",
"content": "hello",
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{
"id": 956043332327469000,
"author_id": 401842339590570000,
"author_name": "PRIT",
"timestamp": "03/23/2022 00:14:52",
"content": "yoyo",
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"content": "@PRIT Has your question been resolved?",
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"timestamp": "03/23/2022 01:03:38",
"content": "@PRIT Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
438b8f8dfe7844f4834aeadbb4380333
|
199,366 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 00:01:03",
"content": "Available help channel!",
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"id": 964013120077037600,
"author_id": 963481625440714800,
"author_name": "drizzy",
"timestamp": "04/14/2022 00:03:58",
"content": "hello",
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{
"id": 964013121956118500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 00:03:58",
"content": "Pinned a message.",
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"timestamp": "04/14/2022 00:04:21",
"content": "can anyone verify that this is correct?",
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"timestamp": "04/14/2022 00:19:22",
"content": "@drizzy Has your question been resolved?",
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] |
help-9
|
5c8d497012bb4d32b98fd721cf953bd8
|
199,367 |
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"timestamp": "04/14/2022 00:35:22",
"content": "Available help channel!",
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},
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"author_id": 920333032802623600,
"author_name": "Topazclifford",
"timestamp": "04/14/2022 00:35:44",
"content": "Any pls create a",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 00:35:45",
"content": "Pinned a message.",
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"author_id": 920333032802623600,
"author_name": "Topazclifford",
"timestamp": "04/14/2022 00:35:52",
"content": "Cube channel",
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"author_id": 920333032802623600,
"author_name": "Topazclifford",
"timestamp": "04/14/2022 00:36:03",
"content": "For solving it",
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"id": 964021237930135600,
"author_id": 920333032802623600,
"author_name": "Topazclifford",
"timestamp": "04/14/2022 00:36:13",
"content": "Like chess go",
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"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 00:51:13",
"content": "@Topazclifford Has your question been resolved?",
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help-9
|
42ed06ae1d7540f4a78414acf4f19d85
|
199,368 |
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"id": 964029041525030900,
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"timestamp": "04/14/2022 01:07:14",
"content": "Available help channel!",
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"id": 964029401060757500,
"author_id": 726069421377847300,
"author_name": "Wayne Kerr",
"timestamp": "04/14/2022 01:08:40",
"content": "I am not sure what to substitute for part a",
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"timestamp": "04/14/2022 01:08:40",
"content": "Pinned a message.",
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"id": 964029458908606500,
"author_id": 726069421377847300,
"author_name": "Wayne Kerr",
"timestamp": "04/14/2022 01:08:53",
"content": "I first found velocity equation in terms of t",
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"id": 964029762135785500,
"author_id": 726069421377847300,
"author_name": "Wayne Kerr",
"timestamp": "04/14/2022 01:10:06",
"content": "Then I am not sure what numbers to substitute inside the equations. I am not sure where to put t=0 and just solve as simultaneous or need to use the instantaneous at rest when t=2",
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"id": 964030936398315500,
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"author_name": "Wayne Kerr",
"timestamp": "04/14/2022 01:14:46",
"content": "for part A I am talkn abt...",
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"id": 964031258902552600,
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"author_name": "hsp",
"timestamp": "04/14/2022 01:16:02",
"content": "at $t = 0$, $a = pt + q = -2$, so you can solve for $q$ here $\\\\$\nfind $v(t)$ as $\\int_3^v \\dd{v} = \\int_0^t (pt + q) \\dd{t} \\\\$ \nplug in $t = 2$, $v = 0$ there to solve for $p$",
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"id": 964031353932877800,
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"author_name": "TeXit",
"timestamp": "04/14/2022 01:16:25",
"content": "**hsp**",
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"timestamp": "04/14/2022 01:17:05",
"content": "oh okay thanks so much",
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"id": 964032040519499800,
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"author_name": "Wayne Kerr",
"timestamp": "04/14/2022 01:19:09",
"content": ".close",
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"id": 964032041949724700,
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"content": "Channel closed",
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] |
help-9
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99dc1412f43f4925a96bb324c9bbdf5a
|
199,369 |
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"timestamp": "04/14/2022 01:20:10",
"content": "Available help channel!",
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},
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"id": 964035138424029200,
"author_id": 676103624576860200,
"author_name": "Baskit",
"timestamp": "04/14/2022 01:31:27",
"content": "Can someone help me with this question",
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"id": 964035140319862800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 01:31:28",
"content": "Pinned a message.",
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"author_name": "Baskit",
"timestamp": "04/14/2022 01:32:04",
"content": "Is a) right ?",
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"id": 964035433757569000,
"author_id": 920333032802623600,
"author_name": "Topazclifford",
"timestamp": "04/14/2022 01:32:38",
"content": ". Reopen",
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},
{
"id": 964035606650957800,
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"author_name": "Daltac",
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"author_name": "Daltac",
"timestamp": "04/14/2022 01:34:05",
"content": "how do i do this",
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"author_name": "Baskit",
"timestamp": "04/14/2022 01:34:20",
"content": "Are you guys serious ?",
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"id": 964035884607504400,
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"author_name": "Daltac",
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"content": "?",
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"id": 964035904278761500,
"author_id": 707534361028722800,
"author_name": "Daltac",
"timestamp": "04/14/2022 01:34:30",
"content": "i need help",
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},
{
"id": 964035943977861200,
"author_id": 707534361028722800,
"author_name": "Daltac",
"timestamp": "04/14/2022 01:34:39",
"content": "isnt this where i go",
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"id": 964035959043805200,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "04/14/2022 01:34:43",
"content": "please open a new help channel",
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"id": 964035970368434200,
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"author_name": "Swas.py",
"timestamp": "04/14/2022 01:34:46",
"content": "this is occupied",
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"id": 964036042455928800,
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"author_name": "Daltac",
"timestamp": "04/14/2022 01:35:03",
"content": "oh sorry",
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"author_name": "Baskit",
"timestamp": "04/14/2022 01:40:41",
"content": ".close",
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"content": "Channel closed",
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help-9
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726556498cef4223a8a88712be26b845
|
199,370 |
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"timestamp": "04/14/2022 01:41:42",
"content": "Available help channel!",
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"author_name": "๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐",
"timestamp": "04/14/2022 01:51:28",
"content": "Doing algebra, I know this looks rather... Let's just say bad, I would like to know what I did wrong that I have a x left at the end I was trying get the sqrt of the polynomial if I check the quotient squared I do get the polynomial so that's correct but there's an x left where did I go wrong?",
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"author_name": "๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐",
"timestamp": "04/14/2022 01:58:47",
"content": "Btw here you have to add double the first term of the quotient",
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"author_name": "๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐",
"timestamp": "04/14/2022 01:58:54",
"content": "To the trial divisor",
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"id": 964042217167654900,
"author_id": 704321812040908800,
"author_name": "๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐",
"timestamp": "04/14/2022 01:59:35",
"content": "After subtracting the square of the first term of the root from the polynomial",
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"author_name": "๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐",
"timestamp": "04/14/2022 02:01:50",
"content": "Btw gimme a ping if ya got the answer, thanks in advance",
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"timestamp": "04/14/2022 02:16:50",
"content": "@๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐ Has your question been resolved?",
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"timestamp": "04/14/2022 02:17:34",
"content": "I figured it out myself lol",
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"author_name": "๐๐๐ฆ๐๐ฌ๐๐จ๐ง๐",
"timestamp": "04/14/2022 02:17:37",
"content": "Sorry for the spam",
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},
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"timestamp": "04/14/2022 02:17:38",
"content": "Channel closed",
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}
] |
help-9
|
9073ccabcde44bf4bae932cfa2b49236
|
199,371 |
[
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"timestamp": "04/14/2022 02:18:39",
"content": "Available help channel!",
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},
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"author_name": "OverLord",
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"content": "Pinned a message.",
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"timestamp": "04/14/2022 02:20:35",
"content": "THis is discrete mathmatics and it wants me to take the power set of f",
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"content": "I just dont know how I would go about this with max, min things",
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"timestamp": "04/14/2022 02:32:05",
"content": ".close",
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}
] |
help-9
|
017afbb124cd46209cb0d6e659fd552b
|
199,372 |
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"timestamp": "04/14/2022 06:09:08",
"content": "Available help channel!",
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"timestamp": "04/14/2022 06:14:25",
"content": "Answer was d",
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"author_id": 578954683310145500,
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"timestamp": "04/14/2022 06:14:37",
"content": "But i stuck on here",
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"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:14:45",
"content": "Anything wrong?",
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"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 06:29:46",
"content": "@Shiwu Has your question been resolved?",
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"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 06:53:50",
"content": "any steps to show?",
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"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 06:54:16",
"content": "i didn't really understand what u doing here so",
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"author_name": "Shiwu",
"timestamp": "04/14/2022 06:57:18",
"content": "x:2y (length)\nx:4y (diameter)\nResistance = ((1/2)K) / (1/4)ยฒ",
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"author_name": "Shiwu",
"timestamp": "04/14/2022 06:57:42",
"content": "K= 1",
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"id": 964117266516029600,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:57:48",
"content": "So, 1/8",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 06:58:15",
"content": "this seems wrong",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 06:58:23",
"content": "2x:y right?",
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"id": 964117432337834000,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:58:28",
"content": "Yup",
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"id": 964117436695711700,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 06:58:29",
"content": "as per question",
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{
"id": 964117451065409500,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:58:32",
"content": "Wait",
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"id": 964117525724037100,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:58:50",
"content": "X is twice of Y",
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"id": 964117579868295200,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:59:03",
"content": "Mean x = 2y",
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"id": 964117624621510700,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 06:59:14",
"content": "Is it",
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"id": 964117715864399900,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 06:59:35",
"content": "wait then i understood ur notation wrong",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 06:59:48",
"content": "ok try it this way",
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"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 07:00:12",
"content": "length of wire X=2k, then wire Y = k",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 07:00:28",
"content": "similarly do for diameters n see what u get",
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"author_name": "Shiwu",
"timestamp": "04/14/2022 07:03:20",
"content": "Length = x/2\nDiameter = x/4",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 07:08:02",
"content": "what's x here?",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 07:08:09",
"content": "@Shiwu",
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"id": 964120420246782000,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 07:10:20",
"content": "Unknown?",
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"id": 964121054261940200,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 07:12:51",
"content": "Length = 1/2\nDiameter = 1/4",
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},
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"id": 964121264417538000,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 07:13:41",
"content": "Solved from the question with \nLength= 1:2\nDiameter = 1:4",
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"id": 964122049515749500,
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"author_name": "newbienoob",
"timestamp": "04/14/2022 07:16:49",
"content": "no that's the mistake",
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"id": 964122079958007800,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 07:16:56",
"content": "length is 2:1 as per q",
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{
"id": 964122852649496600,
"author_id": 578954683310145500,
"author_name": "Shiwu",
"timestamp": "04/14/2022 07:20:00",
"content": "Mean?",
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"id": 964125256342208500,
"author_id": 960560210206920800,
"author_name": "newbienoob",
"timestamp": "04/14/2022 07:29:33",
"content": "the question says length of X is twice the length of Y (2:1)",
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"author_name": "newbienoob",
"timestamp": "04/14/2022 07:30:08",
"content": "and diameter of X is 1:4 or one/fourth of Y",
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"timestamp": "04/14/2022 07:50:00",
"content": "@Shiwu Has your question been resolved?",
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"author_name": "Shiwu",
"timestamp": "04/14/2022 07:54:02",
"content": "So it mean 2x = y if based on question?",
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"author_id": 919577278537666600,
"author_name": "weeeawsdawdasd",
"timestamp": "04/14/2022 08:38:57",
"content": "200 people stand in a circle in order to 1 to 200 . number 1 has a sword he kills the next person (i.e. No. 2) and gives the sword to the next living person (i.e. No. 3). all people do the same until only 1 survives. wich number surivives to the end?",
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"timestamp": "04/14/2022 08:41:11",
"content": "Stop spamming your question in every single occupied channel",
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"timestamp": "04/14/2022 09:01:11",
"content": "@Shiwu Has your question been resolved?",
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"timestamp": "04/14/2022 09:10:02",
"content": ".close",
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},
{
"id": 964150546040783000,
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"timestamp": "04/14/2022 09:10:03",
"content": "Channel closed",
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}
] |
help-9
|
ded40b798d8e40688146334e2744481c
|
199,373 |
[
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"timestamp": "04/14/2022 09:14:27",
"content": "I'm very confused on the mark scheme for the trapezium rule",
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] |
help-9
|
06ed954f491044c38bed8e82fd781225
|
199,374 |
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"timestamp": "04/14/2022 09:24:30",
"content": "Available help channel!",
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"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "04/14/2022 09:38:52",
"content": "just curious, would a valid definition of domain be: the set of inputs that map to a real valued output?",
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"content": "Pinned a message.",
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"timestamp": "04/14/2022 09:42:26",
"content": "In high school, yes",
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"timestamp": "04/14/2022 09:42:45",
"content": "If the range of your function is a subset of the real numbers, then, technically, yes. That definition is very restricted, though",
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"content": "In general, no. It's just the set of inputs the function can take.",
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"timestamp": "04/14/2022 09:43:15",
"content": "hmm",
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"author_name": "Kaynex",
"timestamp": "04/14/2022 09:43:27",
"content": "So for a function that takes all complex numbers and outputs complex numbers, the domain is the complex numbers.",
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"timestamp": "04/14/2022 09:43:56",
"content": "Well, does it work for a Calculus 1 level definition?",
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"timestamp": "04/14/2022 09:46:00",
"content": "the set of inputs that a function can take, so does that mean f(x) = sqrt(x), f(-1)",
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"timestamp": "04/14/2022 09:46:45",
"content": "I mean, that wouldn't work right?",
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"author_name": "Navix",
"timestamp": "04/14/2022 09:46:57",
"content": "not for the real-valued square root function",
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"author_name": "Navix",
"timestamp": "04/14/2022 09:47:07",
"content": "in the complex world, it does work indeed",
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"author_name": "Navix",
"timestamp": "04/14/2022 09:48:01",
"content": "so yes it would not work in HS context",
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"timestamp": "04/14/2022 09:48:20",
"content": "hmm",
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"timestamp": "04/14/2022 09:49:07",
"content": "So If I say if my function is a subset of real numbers then the definition would be valid? Also how do you know if you're dealing with a complex subset function, will they explicitly state that with some subset symbol",
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"author_name": "Navix",
"timestamp": "04/14/2022 09:49:56",
"content": "they usually write something like f: R -> R for real valued functions and f: C -> C for complex functions",
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"timestamp": "04/14/2022 09:50:16",
"content": "before writing down what the function actually does",
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"author_name": "Conquest",
"timestamp": "04/14/2022 09:51:18",
"content": "interesting, well what's the difference between writing that and f โ R or something. Is that improper notation or is it just customary?",
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"author_name": "Navix",
"timestamp": "04/14/2022 09:51:54",
"content": "to be exact, f is actually a set of 2-tuples (x, f(x)) for each valid input x",
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"timestamp": "04/14/2022 09:52:20",
"content": "so for example, f could be a subset of R^2 or R x R (cartesian product)",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/14/2022 09:53:24",
"content": "the domain and range are then separately denoted by other symbols such as D for domain and some other symbol for the range",
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"author_name": "Conquest",
"timestamp": "04/14/2022 09:53:38",
"content": "woah nice, I'm assuming these tuples can go on forever then. what do you call it an n-tuple or something",
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"timestamp": "04/14/2022 09:55:11",
"content": "hmm you mean functions taking multiple inputs?",
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"id": 964161977633079300,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "04/14/2022 09:55:28",
"content": "yeah, like (x,y,z); (x,y,z,w), etc",
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"id": 964162092104044500,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/14/2022 09:55:56",
"content": "a function always maps between two objects",
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"id": 964162135959683200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/14/2022 09:56:06",
"content": "so the tuples should always contain 2 items, the input and the output",
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"id": 964162173880401900,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/14/2022 09:56:15",
"content": "but the input and output themselves can be tuples or sets etc.",
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"id": 964162309264113700,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "04/14/2022 09:56:47",
"content": "that sounds too cool lol",
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"id": 964162426268422100,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/14/2022 09:57:15",
"content": "for example, say you have a function f(x,y) = z. then the function would look like this in set notation: f = {((x1,y1), z1), ...}",
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"id": 964162540932329500,
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"author_name": "Navix",
"timestamp": "04/14/2022 09:57:43",
"content": "so it takes these 2 inputs and sees them as one object/unit again that it maps to something else",
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"id": 964162812920344600,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "04/14/2022 09:58:47",
"content": "very interesting, thanks for the info",
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"id": 964162861523931100,
"author_id": 874030613211021400,
"author_name": "Conquest",
"timestamp": "04/14/2022 09:58:59",
"content": ".close",
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},
{
"id": 964162863038091300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 09:58:59",
"content": "Channel closed",
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}
] |
help-9
|
139132c35086443b88552368fc50f3e9
|
199,375 |
[
{
"id": 964163116474695800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 10:00:00",
"content": "Available help channel!",
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"id": 964165006822367200,
"author_id": 460827024882139140,
"author_name": "pOp",
"timestamp": "04/14/2022 10:07:30",
"content": "a^2-13a=b^2-13b\nall values of a,b which satisfy the above equation where a isnt equal to b?",
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"id": 964165008936284300,
"author_id": 805217272087838700,
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"timestamp": "04/14/2022 10:07:31",
"content": "Pinned a message.",
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"id": 964165049591668700,
"author_id": 460827024882139140,
"author_name": "pOp",
"timestamp": "04/14/2022 10:07:41",
"content": "trying to solve this since quiitte a lot of time",
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},
{
"id": 964165062535290900,
"author_id": 460827024882139140,
"author_name": "pOp",
"timestamp": "04/14/2022 10:07:44",
"content": "any way?",
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},
{
"id": 964166081616953500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/14/2022 10:11:47",
"content": "You can see this as a quadratic in a:\naยฒ - 13a + (-bยฒ + 13b) = 0",
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{
"id": 964166125627772900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/14/2022 10:11:57",
"content": "Then the quadratic equation solves for a",
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},
{
"id": 964168840017748100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 10:22:44",
"content": "@pOp Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 10:37:45",
"content": "Channel closed",
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}
] |
help-9
|
0d63cf9a50ae462a927053332bd4c7c5
|
199,376 |
[
{
"id": 956055932184436700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 01:04:56",
"content": "Available help channel!",
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},
{
"id": 956056398003834900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:06:47",
"content": "i'm given function `f(x)=2x+4`, i need to find a specific primitive function of it that has `y=6x+3` as its tangent, how can I achieve this?",
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},
{
"id": 956056399882899500,
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"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 01:06:48",
"content": "Pinned a message.",
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{
"id": 956059244166258700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:18:06",
"content": "figured it out, since all of the primitives are parabolas (x^2+4x+C) you need to specifically find the C with which x^2+4x+C=6x+3 only has one solution",
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{
"id": 956059297987575800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:18:19",
"content": "which can be achieved by equaling the discriminant to 0",
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},
{
"id": 956059332536049700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:18:27",
"content": "`D=b^2-4ac=0`",
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},
{
"id": 956059410634002400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:18:46",
"content": "`4^2-4*1*C=16`",
"attachments": [],
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"reference": null
},
{
"id": 956059442196131800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:18:53",
"content": "`C=4`",
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"reference": null
},
{
"id": 956059506259918800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:19:09",
"content": "therefore the specific primitive is `x^2+4x+4`",
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},
{
"id": 956061461476683800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/23/2022 01:26:55",
"content": ".close",
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},
{
"id": 956061463078903800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 01:26:55",
"content": "Channel closed",
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}
] |
help-9
|
af13404757844f96ab1adad5ffa4ab01
|
199,377 |
[
{
"id": 964172870819401700,
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"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 10:38:45",
"content": "Available help channel!",
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},
{
"id": 964173194397380700,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 10:40:03",
"content": "Hello guys, its an algorithmic question, what is average number of growths for `ndigit`, `nwhite` and `nother`? We know that there is array of n elements where each character's probability of occurrence is equal. In total, we have C amount of possible characters.",
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"content": "Pinned a message.",
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"author_name": "dark_times",
"timestamp": "04/14/2022 10:43:02",
"content": "So far I understand that probability of `ndigit` occuring is 10/C, `nwhite` is 3/C and `nother` is (C - 13) / C",
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"author_name": "dark_times",
"timestamp": "04/14/2022 10:43:26",
"content": "But I'm not sure how to calculate average number of cases for each",
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"author_name": "dark_times",
"timestamp": "04/14/2022 10:44:09",
"content": "My guess is it would be n/2 * 10/c, n/2 * 3/c and n/2 * (C - 13) / C",
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"timestamp": "04/14/2022 10:44:38",
"content": "n/2 because average number of growth would be n/2 thats easy to prove using sum",
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"timestamp": "04/14/2022 10:59:04",
"content": "@Helpers",
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{
"id": 964179708445081600,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:05:56",
"content": "hi again : )",
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{
"id": 964179749134008300,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:06:05",
"content": "hello",
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{
"id": 964179821087301800,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:06:22",
"content": "my head is bleeding",
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},
{
"id": 964179838615310300,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:06:27",
"content": "I dont understand",
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{
"id": 964179847515607000,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:06:29",
"content": "๐",
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},
{
"id": 964180156879093800,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:07:43",
"content": "you have n data and each of them has 10/c chance to be a number for example",
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"id": 964180260449042400,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:08:07",
"content": "so you will have n*10/c on average",
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},
{
"id": 964180282846625800,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:08:13",
"content": "and the others too",
"attachments": [],
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},
{
"id": 964180355814924300,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:08:30",
"content": "but whyy",
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},
{
"id": 964180429651476500,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:08:48",
"content": ":this:",
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},
{
"id": 964180552058040400,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:09:17",
"content": "what why",
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{
"id": 964180573260234900,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:09:22",
"content": "if you have 100 apples",
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{
"id": 964180650867425400,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:09:40",
"content": "and 10% that the apple is rotten",
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"id": 964180757461500000,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:10:06",
"content": "youll have 10 rotten apple",
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"timestamp": "04/14/2022 11:10:33",
"content": "again, average",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:12:38",
"content": "okay yeah i get it with apples now",
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"id": 964181485391339500,
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:12:59",
"content": "if 10% is chance of apple being rotten, on average from random infinite apples, we will have 10 apples rotten out of 100",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:14:30",
"content": "but I'm bothered with somehting now",
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"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:15:17",
"content": ":JustAsk:",
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"id": 964182802021113900,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:18:13",
"content": "You know that formula: ET = X1 * P1 + X2 * P2 + ... Xn * Pn",
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"id": 964182843267891200,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:18:23",
"content": "for calculating average",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:18:58",
"content": "where P1, P2, Pn are portions",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:19:54",
"content": "and X1, X2, Xn are values",
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:21:20",
"content": "So say if some algorithm in 1/3 portion needs 0 increments, 1/3 portion needs 2 increments, in 1/3 portion needs 3 increments",
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"id": 964183747379478500,
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:21:59",
"content": "then we multiply and add them and get average: 1/3 * 0 + 1/3 * 2 + 1/3 * 3 =5/3",
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:22:10",
"content": "so we say that this algorithm spends 5/3 increments on avg",
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:24:05",
"content": "now with linear search, we'd do something like this with this formula, if we have n elements and n cases, then each increment has 1/n probability",
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"id": 964184545857536000,
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:25:09",
"content": "so 1/n * (1 + 2 + ... + n)",
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"id": 964184785385828500,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:26:06",
"content": "and we'd calculate that and get n/2",
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"id": 964184820236320800,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:26:14",
"content": "our average number of increments",
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},
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"id": 964184922870907000,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:26:39",
"content": "so my question is, how we'd apply this formula here ? if possible,",
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"id": 964185052437155800,
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:27:10",
"content": "so we kinda calculate probabilities separately per case, instead of generalizing",
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"id": 964185079779852300,
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:27:16",
"content": "so I wonder if thats possible here",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:27:30",
"content": "with this algorithm",
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"author_name": "Spreeter",
"timestamp": "04/14/2022 11:28:35",
"content": "its not an algorithm",
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},
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"id": 964185470366011400,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:28:49",
"content": "i meant the problem",
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"id": 964185538817052700,
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"author_name": "dark_times",
"timestamp": "04/14/2022 11:29:06",
"content": "we did it in the general and simpler way, but I wonder if we can do it in this different way",
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"id": 964185604281757700,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:29:21",
"content": "for my total understanding",
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"id": 964185693033234400,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:29:42",
"content": "the comparing of 2 things is always counted as 1 step",
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"id": 964185821026590700,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/14/2022 11:30:13",
"content": "not rly sure what changes after what u said : )",
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"id": 964185989360804000,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:30:53",
"content": "oh like in our case, P1 is 10/c",
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},
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"id": 964186013561942000,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:30:59",
"content": "P2 is 3/c",
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"id": 964186098383351800,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:31:19",
"content": "P3 is (c - 13)/c",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:31:30",
"content": "yeah i was overcomplicating",
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"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:31:33",
"content": "thanks",
"attachments": [],
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},
{
"id": 964186166129754100,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:31:35",
"content": "โค๏ธ",
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},
{
"id": 964186241417482200,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:31:53",
"content": "I cant express enough gratitude",
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},
{
"id": 964186276750303200,
"author_id": 265045400845549570,
"author_name": "dark_times",
"timestamp": "04/14/2022 11:32:02",
"content": ".close",
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},
{
"id": 964186278365126800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 11:32:02",
"content": "Channel closed",
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}
] |
help-9
|
9cc95d537eb844c88d1fdedc1e84dd7b
|
199,378 |
[
{
"id": 964205153991417900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 12:47:02",
"content": "Available help channel!",
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},
{
"id": 964206263653257200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 12:51:27",
"content": "Pinned a message.",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 12:53:06",
"content": "Did you learn any factoring methods?",
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},
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"id": 964207069739765800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 12:54:39",
"content": "C and D is factor by grouping. Because factor by grouping is more ideal for even amount of terms",
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},
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"id": 964207871690670100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 12:57:50",
"content": "A is using whatever method you want",
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},
{
"id": 964207960412790900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 12:58:11",
"content": "B, because it's two terms, that's difference of squares",
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},
{
"id": 964208231016714200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 12:59:16",
"content": "Do you know difference of squares?",
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},
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"id": 964208796937371800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 13:01:31",
"content": "a^2 - b^2 = (a + b)(a - b)",
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"id": 964210096911552600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 13:06:41",
"content": "I'm not giving you any answers",
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},
{
"id": 964210153194930300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 13:06:54",
"content": "I gave you the necessary information to solve them",
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},
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"id": 964210194097774700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/14/2022 13:07:04",
"content": "You should attempt the problems",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 13:20:55",
"content": "@! sez Has your question been resolved?",
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"id": 964215071263825900,
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"timestamp": "04/14/2022 13:26:27",
"content": "try understanding rather than asking for the answer",
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"timestamp": "04/14/2022 13:26:52",
"content": "dldh has explained it",
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"author_name": "sLoct",
"timestamp": "04/14/2022 13:27:23",
"content": "if you did not understand you should ask again",
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"timestamp": "04/14/2022 13:35:55",
"content": "Channel closed",
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}
] |
help-9
|
06e569c21b1845a497d3ee462f85f5e7
|
199,379 |
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"content": "Available help channel!",
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"id": 964217856352993400,
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"author_name": "yau",
"timestamp": "04/14/2022 13:37:31",
"content": "i need help solving this",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/14/2022 13:38:16",
"content": "apply definitions and relation between the central angle and the respective measure of an arc",
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"id": 964218192589365200,
"author_id": 755878589781770400,
"author_name": "yau",
"timestamp": "04/14/2022 13:38:51",
"content": "what you mean",
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"id": 964218586782634100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/14/2022 13:40:25",
"content": "if you don't know the defintions and relation",
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},
{
"id": 964218597339709600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/14/2022 13:40:27",
"content": "look it up",
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},
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"id": 964218634920656900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/14/2022 13:40:36",
"content": "`central angle and measure of an arc`",
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"content": "@yau Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
29ad2fc6261548b99f2a469e9a1397a5
|
199,380 |
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"content": "Available help channel!",
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"id": 964224578975064000,
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"timestamp": "04/14/2022 14:04:27",
"content": "so for the first one, i know i make an integral from 0 to .12",
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"content": "but what goes inside of the integral?",
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"id": 964225892941451400,
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"content": ",, W= \\int_a^b f(x) \\text{dx}",
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"content": "**Yone**",
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"content": "what do you think the force function for a spring is?",
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"timestamp": "04/14/2022 14:12:27",
"content": "btw you donโt need an integral bc itโs linear force qty but sure",
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"content": "so f(x) in that pic you sent would be kx?",
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"content": "bound to 0 and 0.12?",
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"timestamp": "04/14/2022 14:14:15",
"content": "yes f(x) is a force function and the integral is path dependent for context",
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"timestamp": "04/14/2022 14:14:41",
"content": "damn how would i solve that",
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"content": "wait no didnโt i just say itโs path dependent lol",
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"timestamp": "04/14/2022 14:15:23",
"content": "path of 0-0.12 is not the same as the path of 0.3-0.42",
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"timestamp": "04/14/2022 14:23:27",
"content": "Oh so it would be integral from 0.3 to 0.42 with kx inside?",
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"timestamp": "04/14/2022 14:23:37",
"content": "yes.",
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"content": "k is an arbitrary constant so you can integrate it",
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"timestamp": "04/14/2022 14:24:47",
"content": "because that wouldnโt affect the way the integral is computed",
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"content": "needless to say, you can easily calculate what k is before integration",
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"content": "You mean it would just stay k after integration?",
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"content": "how do you integrate 3x?",
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"timestamp": "04/14/2022 14:32:49",
"content": "same way with kx",
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"timestamp": "04/14/2022 14:33:49",
"content": ",,W= \\text{k} \\int_{0.3}^{0.42} x \\text{dx}",
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"timestamp": "04/14/2022 14:34:22",
"content": "**Yone**",
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"timestamp": "04/14/2022 14:35:28",
"content": "you can get the value of k from f=k delta x",
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"timestamp": "04/14/2022 14:37:59",
"content": "So then for F Iโd put in 2J and delta x .12?",
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"timestamp": "04/14/2022 14:38:51",
"content": "that shouldโve been trivial by now but yes :nozoomi:",
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"timestamp": "04/14/2022 14:41:06",
"content": "Okay the once I get k I can plug it into the integral and then into calculator right?",
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"timestamp": "04/14/2022 14:41:17",
"content": "And whatever my answer is is the work?",
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"timestamp": "04/14/2022 14:41:46",
"content": "k doesnโt have anything to do with the integral",
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"timestamp": "04/14/2022 14:41:53",
"content": "as i showed u by factoring it out lol",
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"timestamp": "04/14/2022 14:41:58",
"content": "anyway if itโs hard for u",
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"timestamp": "04/14/2022 14:42:11",
"content": "u can just put everything in a calculator even the integral but itโs as basic as it can get..",
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"timestamp": "04/14/2022 14:42:28",
"content": "Oh yea I mean multiply i with the integral",
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"timestamp": "04/14/2022 14:42:58",
"content": "And would it be incorrect if we left it inside and put it in the calculator like that?",
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"content": "no",
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"content": "itโd serve you right to know the integral of that though",
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"timestamp": "04/14/2022 14:44:25",
"content": ",w \\int_{0.3}^{0.42} x \\text{dx}",
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"timestamp": "04/14/2022 14:45:01",
"content": "Results provided by WolframAlpha",
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"content": "Yea and multiply that by k to get the work done?",
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"timestamp": "04/14/2022 14:46:57",
"content": "Or would that only give me the force to use in w=fd",
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"timestamp": "04/14/2022 14:48:20",
"content": "what do you think?",
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"timestamp": "04/14/2022 14:48:56",
"content": "u should review an alternate definition of integration",
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"timestamp": "04/14/2022 14:49:20",
"content": "which is summing up the force * infinitesimal displacement",
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"timestamp": "04/14/2022 14:49:47",
"content": "anyway thatโd be the work..",
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"timestamp": "04/14/2022 14:50:10",
"content": "since we input all the parameters here",
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"content": "Okay thank you , and how would I do the second part if Iโm not given any bounds",
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"timestamp": "04/14/2022 15:00:06",
"content": "what do you think?",
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"timestamp": "04/14/2022 15:04:46",
"content": "Oh use the k constant from the first one to find work?",
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"content": "I mean like the displacement",
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"content": "use the k and f to find delta x",
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"timestamp": "04/14/2022 15:05:10",
"content": "Not wor",
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"timestamp": "04/14/2022 15:05:17",
"content": "btw you realize you havenโt even started part 1 right",
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"content": "Yea Iโm just trying to make sense and understand what weโre doing",
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"timestamp": "04/14/2022 15:06:07",
"content": ",,2 = \\int_{0.3}^{0.42} kx dx",
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"content": "**Yone**",
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"content": "you have to find k here",
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"timestamp": "04/14/2022 15:06:42",
"content": "using that k",
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"timestamp": "04/14/2022 15:07:54",
"content": "part a) would be",
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"timestamp": "04/14/2022 15:08:19",
"content": ",, W = \\int_{0.35}^{0.4} kx dx",
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"content": "**Yone**",
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"timestamp": "04/14/2022 15:08:29",
"content": "with the k you got from here",
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"timestamp": "04/14/2022 15:09:43",
"content": "anyway alternative, if youโre aware of physics terminology you can exploit the fact that you donโt have to use integrals at all bc of constant force",
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"content": "so part a can simply be something like W= 1/2 kx^2",
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"content": "we have work and we have x (which is delta x essentially)",
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"content": "2=1/2 k(0.42-0.3)^2 and solve for k",
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"timestamp": "04/14/2022 15:11:33",
"content": "then use that k for part a)",
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"timestamp": "04/14/2022 15:12:09",
"content": "which would be W = 1/2 k (0.4-0.35)^2",
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"timestamp": "04/14/2022 15:20:44",
"content": "@SlyDaw Has your question been resolved?",
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] |
help-9
|
a98802a8e761441fb7a482b8a372c3d7
|
199,381 |
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"content": "Pinned a message.",
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"content": "I think im overthinking this problem",
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"content": "would the approach just be as simple as replacing cos(x) with its appropriate power series then integrating it",
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"timestamp": "04/14/2022 15:57:21",
"content": "and leaving it as a summation?",
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"id": 964253749830910100,
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"timestamp": "04/14/2022 16:00:08",
"content": "Yes",
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"content": "@joey Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
eb9afff3316042549fd2372456f190c3
|
199,382 |
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"timestamp": "04/14/2022 16:18:17",
"content": "@Zorn's Lemon should I substitute in the values of the definite integral after integrating",
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"content": "or just leave it like it is",
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"content": "Well does the question ask you to evaluate a definite integral",
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"content": "nope",
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"id": 964258558562668500,
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"content": "gotcha",
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"content": ".close",
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"timestamp": "04/14/2022 16:19:21",
"content": "Channel closed",
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}
] |
help-9
|
799db8c9d0cd4e1981688c91c5833c96
|
199,383 |
[
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"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "04/14/2022 16:30:40",
"content": "can someone help me find out what hat this is",
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"content": "No. This is a math server, for you to get help on math related questions you are stuck on",
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"content": "@Zvonko Rohatinski Has your question been resolved?",
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] |
help-9
|
aa407a6baee6473199f76157aaa02a3b
|
199,384 |
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"content": "Available help channel!",
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help-9
|
3980986a2bb54f1fb252c434229152b8
|
199,385 |
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"id": 964271316754653200,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:09:57",
"content": "could someone help integrate this",
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"id": 964273795936448500,
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"content": "r is a constant",
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"timestamp": "04/14/2022 17:19:48",
"content": "Pinned a message.",
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"author_name": "seemo",
"timestamp": "04/14/2022 17:21:54",
"content": "if this integrable is unenterable try this one:",
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"id": 964275067443880100,
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"author_name": "seemo",
"timestamp": "04/14/2022 17:24:51",
"content": "#help-9 cough",
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{
"id": 964275260100845600,
"author_id": 282640167733559300,
"author_name": "live",
"timestamp": "04/14/2022 17:25:37",
"content": "o shit wait this channel is reserved? im kinda new here",
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{
"id": 964277240126914600,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:33:29",
"content": "i think so?",
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"id": 964279551700123600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:42:40",
"content": "@seemo So basically we want to integrate $\\sqrt{(5-4x)(1+x)}$. We can write it as $\\sqrt{-4x^{2} + x + 5}$. Completing the square, we get $\\sqrt{\\frac{81}{16} - \\frac{(8x-1)^2}{16}}$. Do some algebra, you can write it as $\\frac{9}{4} \\sqrt{1 - \\left ( \\frac{8x-1}{9} \\right )^{2}}$. Let $u = \\frac{8x-1}{9}$. Now you can use a simple trig sub to solve the integral.",
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"id": 964280518076141600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/14/2022 17:46:30",
"content": "**Sup?**",
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"timestamp": "04/14/2022 17:48:29",
"content": "@seemo Has your question been resolved?",
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"id": 964281063985791000,
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"author_name": "Sup?",
"timestamp": "04/14/2022 17:48:41",
"content": "The trig sub that will help is u = sin(theta)",
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"id": 964281073251020800,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:48:43",
"content": "One second",
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},
{
"id": 964281187155718100,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:49:10",
"content": "That's it!!",
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},
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"id": 964281192390197200,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:49:11",
"content": "XDDD",
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"id": 964281366533533700,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:49:53",
"content": "@Sup? this isn't possible?",
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"id": 964281550709608600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:50:37",
"content": "same strat",
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"id": 964281675737612400,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:51:06",
"content": "complete the square, write it in a form a^2 - y^2, a^2 + y^2 or y^2 - a^2, where a is some constant",
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"id": 964281685418070000,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:51:09",
"content": "then use a trig sub",
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"timestamp": "04/14/2022 17:52:01",
"content": "Channel closed",
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}
] |
help-9
|
c6c4514a97564efd9b8fd6a0204c0275
|
199,386 |
[
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"id": 964282719708274700,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:55:15",
"content": ".reopen",
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},
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"id": 964282724787564500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/14/2022 17:55:17",
"content": "โ
",
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},
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"id": 964282745192853600,
"author_id": 835637303450927100,
"author_name": "seemo",
"timestamp": "04/14/2022 17:55:21",
"content": "@Sup? right but the problem is when u complete the square u have (y - 0.125 r)^2 + something\nand that doesnt work",
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"id": 964283581335756900,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:58:41",
"content": "yeah",
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"id": 964283647404433400,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:58:57",
"content": "So write that something as \"something1\"^2",
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"id": 964283685073473700,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:06",
"content": "and let Y = y - 0.125",
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},
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"id": 964283724680290300,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:15",
"content": "You get Y^2 + something1^2",
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"id": 964283731651203100,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:17",
"content": "then a trig sub",
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"id": 964283741419753500,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:19",
"content": "@seemo",
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"id": 964283806188204200,
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"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:34",
"content": "You will probably get Y^2 - something1^2 actually",
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},
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"id": 964283837121196000,
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"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:42",
"content": "since the + gets used in completing the square",
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"id": 964283854452060200,
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"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:46",
"content": "and you are left with the - thing",
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"id": 964283861422989300,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "04/14/2022 17:59:48",
"content": "check again",
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"timestamp": "04/14/2022 18:10:22",
"content": "@seemo Has your question been resolved?",
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"timestamp": "04/14/2022 18:25:22",
"content": "Channel closed",
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}
] |
help-9
|
817151650fff401fa0df885c5d6f7d64
|
199,387 |
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"timestamp": "03/23/2022 01:27:55",
"content": "Available help channel!",
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},
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"id": 956064904253673500,
"author_id": 863039006753030100,
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"content": "how to solve this",
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"content": "Pinned a message.",
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"content": "Uh, there's no question here. You sure this is the full thing?",
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"content": "what is the original question?",
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"timestamp": "03/23/2022 01:42:25",
"content": "ah sorry",
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"content": "just a sec",
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help-9
|
2d4ba2c9a0de4b5dbe152fc93dad9384
|
199,388 |
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"content": "Hello, I don't understand how to tell if it's above or below, i was able to find the second derivative, but i am not sure how that can help.",
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"timestamp": "04/14/2022 19:21:58",
"content": "Hi, This seems to me like an Edx Course Question, which you should take on your own withour cheating. However, you are not supposed to take the deriverative of g.",
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"content": "You have to calculate the y-value of the tangent of the previous question. So y(x=100) Plug in 100",
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"content": "yeah, but i don't understand and i already looked at the solution but i don't get it",
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"timestamp": "04/14/2022 19:23:09",
"content": "yeah i got -1/4000",
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"timestamp": "04/14/2022 19:23:14",
"content": "but i forgot what that means",
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"timestamp": "04/14/2022 19:23:38",
"content": "how do u work this out?",
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"content": "Please open your own chanell #โhow-to-get-help",
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"timestamp": "04/14/2022 19:25:21",
"content": "For this question it just means, that your output is -1/4000 (for the deriverative function).",
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"timestamp": "04/14/2022 19:25:33",
"content": "while your input was x=100",
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"timestamp": "04/14/2022 19:26:12",
"content": "-1/4000 is the y value of the second derivative",
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"author_name": "Emundo",
"timestamp": "04/14/2022 19:26:25",
"content": "To Compare it with your g function you have to find the output of the g function",
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"timestamp": "04/14/2022 19:26:41",
"content": "output of g function is 10 at 100, right?",
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"author_name": "Emundo",
"timestamp": "04/14/2022 19:26:48",
"content": "correct",
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"timestamp": "04/14/2022 19:27:07",
"content": "ok so what do i do next",
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"author_name": "Emundo",
"timestamp": "04/14/2022 19:27:29",
"content": "You need to find the value of your tangent line at x=100",
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"timestamp": "04/14/2022 19:27:50",
"content": "its 0.05",
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"id": 964306062473838600,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/14/2022 19:28:01",
"content": "your tangent line is your first deriverative",
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"author_name": "Emundo",
"timestamp": "04/14/2022 19:28:21",
"content": "Ok now just compare the values. g and of the tangentline",
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"id": 964306164697428000,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/14/2022 19:28:25",
"content": "10 and 0.05",
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"id": 964306269118791700,
"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "04/14/2022 19:28:50",
"content": "the second derivative is above the tangent line?",
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"id": 964306361410273400,
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"author_name": "Emundo",
"timestamp": "04/14/2022 19:29:12",
"content": "the second does not matter for this question",
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"timestamp": "04/14/2022 19:29:32",
"content": "oh right",
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"id": 964306477277925400,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/14/2022 19:29:40",
"content": "just the tangent line compared to the normal function",
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"id": 964306494923345900,
"author_id": 492817322105634800,
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"timestamp": "04/14/2022 19:29:44",
"content": "the tangent line is below the normal function",
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"id": 964306517195112400,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/14/2022 19:29:49",
"content": "correct",
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"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "04/14/2022 19:29:52",
"content": "that's it?",
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"id": 964306545489895400,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/14/2022 19:29:56",
"content": "0.05 is smaller than 10",
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"id": 964306556680273900,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/14/2022 19:29:59",
"content": "and thats it",
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"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "04/14/2022 19:30:18",
"content": "ok lol, thank you\\",
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"id": 964306663639240700,
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"timestamp": "04/14/2022 19:30:24",
"content": "no problem!",
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"timestamp": "04/14/2022 19:30:29",
"content": ".close",
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help-9
|
d03776c0b08b40758516bee53ebdb4c0
|
199,389 |
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"content": "Can somebody explain to me Q2 ? ^^^",
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"content": "can someone help me",
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help-9
|
8ac7ca08134c47288e7d60cb8cebdc04
|
199,390 |
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"content": "yo! can someone help me with this exercise",
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"author_name": "Hyuukai(หโฟหิ
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"timestamp": "04/14/2022 20:45:35",
"content": "factor xd",
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"content": "Simplify and then factor?",
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"content": "Alright",
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"content": "What have you tried so far?",
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"timestamp": "04/14/2022 20:49:25",
"content": "just this but i have no idea",
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"content": "Thats different than in the image",
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"content": "The image has",
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"timestamp": "04/14/2022 20:50:19",
"content": "$2ab(a + c - c)$",
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"timestamp": "04/14/2022 20:50:22",
"content": "**Breeziboi**",
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)",
"timestamp": "04/14/2022 20:50:32",
"content": "uh",
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"timestamp": "04/14/2022 20:50:40",
"content": "In your original post",
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"timestamp": "04/14/2022 20:51:04",
"content": "$2ab(a + b - c) - 3x(a + b - c)$",
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"content": "**Breeziboi**",
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"timestamp": "04/14/2022 20:51:08",
"content": "Is this the real?",
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"timestamp": "04/14/2022 20:51:15",
"content": "yea",
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"timestamp": "04/14/2022 20:51:22",
"content": "Then what you have written is correct lol",
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"timestamp": "04/14/2022 20:51:25",
"content": "Was it marked wrong?",
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"timestamp": "04/14/2022 20:51:45",
"content": "$(a + b - c)(2ab - 3x)$",
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"timestamp": "04/14/2022 20:51:48",
"content": "**Breeziboi**",
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)",
"timestamp": "04/14/2022 20:52:33",
"content": "so this is the answer ?",
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"timestamp": "04/14/2022 20:53:02",
"content": "Yes, you had it already",
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"content": "oh",
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"timestamp": "04/14/2022 20:53:09",
"content": "lol",
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)",
"timestamp": "04/14/2022 20:53:21",
"content": "thanks xD",
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"timestamp": "04/14/2022 21:08:21",
"content": "@Hyuukai(หโฟหิ
) Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
534bc27319bf47e3afcad3a1e918e4fe
|
199,391 |
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"content": "Available help channel!",
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"content": "how does it become - the fraction",
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"timestamp": "04/14/2022 21:10:45",
"content": "and why do we even have to do that, cant we just keep it in 2400-x for the integral",
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"id": 964332112964616200,
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"content": "1/(2400-x) = - 1/(x-2400)",
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"content": "you don't have to do that",
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"content": "ok but why do we need to do that",
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"timestamp": "04/14/2022 21:11:56",
"content": "so if we didint do that",
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"content": "its just easier to integrate if you do that",
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"content": "why",
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"content": "whats the diff between 2400-x and x-2400",
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"content": "since you dont have to worry about adding a - sign after integrating",
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"timestamp": "04/14/2022 21:23:47",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
1a1776e955b243758fd3babf1d050fcc
|
199,392 |
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"timestamp": "04/15/2022 00:49:42",
"content": "so",
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"id": 964387109223936000,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:50:04",
"content": "I did โซsectan(tan^2)*sec^5 which is โซsectan(sex^2-1)sec^5",
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{
"id": 964387152609816600,
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"author_name": "Zephyr",
"timestamp": "04/15/2022 00:50:14",
"content": "let u=sec du=sectan",
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{
"id": 964387329076785200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/15/2022 00:50:56",
"content": "bad notation",
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},
{
"id": 964387364237627400,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:51:05",
"content": "notation?",
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{
"id": 964387404163190800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/15/2022 00:51:14",
"content": "you should not omit the input of any trig functions",
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"id": 964387427030552600,
"author_id": 183668144404037630,
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"timestamp": "04/15/2022 00:51:20",
"content": "it's tan(x), not just tan",
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"id": 964387445468708900,
"author_id": 183668144404037630,
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"timestamp": "04/15/2022 00:51:24",
"content": "sec(x), not just sec",
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"id": 964387451491741800,
"author_id": 183668144404037630,
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"timestamp": "04/15/2022 00:51:25",
"content": "and so on",
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"id": 964387468004692000,
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"timestamp": "04/15/2022 00:51:29",
"content": "ah",
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"author_name": "Ann",
"timestamp": "04/15/2022 00:51:37",
"content": "okay, so you decided to substitute u := sec(x). what did you do afterward?",
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"id": 964387564591153200,
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"timestamp": "04/15/2022 00:51:52",
"content": "du=sec(x)tan(x)dx",
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"id": 964387597361221600,
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"author_name": "Zephyr",
"timestamp": "04/15/2022 00:52:00",
"content": "which made for easy direct substitution",
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"id": 964387649446109200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/15/2022 00:52:13",
"content": "where did you end up stuck though",
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{
"id": 964387659038457900,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:52:15",
"content": "so I had โซu^5(u^2-1)du",
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{
"id": 964387685475172400,
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"author_name": "Zephyr",
"timestamp": "04/15/2022 00:52:21",
"content": "I just got the answer wrong idk why",
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"id": 964387867591839700,
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"author_name": "Ann",
"timestamp": "04/15/2022 00:53:05",
"content": "what is your answer and what's the book's answer?",
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"id": 964387958826340400,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:53:26",
"content": "my answer was 1/9sec^9(x) - 1/7 sec^7(x)",
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"id": 964387978577330200,
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"timestamp": "04/15/2022 00:53:31",
"content": "+C",
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"timestamp": "04/15/2022 00:53:36",
"content": "",
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"id": 964388010718285800,
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"timestamp": "04/15/2022 00:53:39",
"content": "also wait",
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"id": 964388020637823000,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:53:41",
"content": "and thats my book answer",
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{
"id": 964388054913654800,
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"author_name": "Ann",
"timestamp": "04/15/2022 00:53:49",
"content": "how did you end up with sec^**9**?",
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{
"id": 964388104112853000,
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"author_name": "Ann",
"timestamp": "04/15/2022 00:54:01",
"content": "u^5(u^2 - 1) is a 7th degree polynomial",
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{
"id": 964388126070030300,
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"author_name": "Ann",
"timestamp": "04/15/2022 00:54:06",
"content": "integrating will increase its degree by 1",
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"timestamp": "04/15/2022 00:54:07",
"content": "to 8",
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"content": "not 9",
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"author_name": "Zephyr",
"timestamp": "04/15/2022 00:54:12",
"content": "oh I added wrong then",
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"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:54:28",
"content": "but either way I must've gone in a totally wrong direction bc I was missing a term somewhere",
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"id": 964388224652935200,
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"author_name": "Ann",
"timestamp": "04/15/2022 00:54:30",
"content": "$\\int u^5 (u^2 - 1) \\dd{u} = \\int (u^7 - u^5) \\dd{u} = \\frac18u^8 - \\frac16u^6 + C$",
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"timestamp": "04/15/2022 00:54:32",
"content": "**Ann**",
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"content": "and no you're not missing a term",
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"author_id": 183668144404037630,
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"content": "they just expressed things in terms of tangent instead of your secant",
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"timestamp": "04/15/2022 00:55:15",
"content": "how did you know?",
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"author_name": "Zephyr",
"timestamp": "04/15/2022 00:55:43",
"content": "that that was the case and I wasn't just spectacularly wrong with my math?",
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"author_id": 183668144404037630,
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"content": "you laid out your solution in full",
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"content": "and i was able to see that it was a simple off by one error and nothing more that did you in",
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"author_name": "Zephyr",
"timestamp": "04/15/2022 00:57:03",
"content": "but even so to me 1/8sec^8(x) - 1/6 sec^6(x) looks different from the books answer",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/15/2022 00:57:34",
"content": "let's have WA calculate the difference, shall we?",
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"author_name": "Ann",
"timestamp": "04/15/2022 00:57:59",
"content": ",w simplify (1/8 * sec^8(x) - 1/6 * sec^6(x)) - (1/8 * tan^8(x) + 1/3 * tan^6(x) + 1/4 * tan^4(x))",
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"timestamp": "04/15/2022 00:58:02",
"content": "Results provided by WolframAlpha",
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"timestamp": "04/15/2022 00:58:06",
"content": "> -1/24",
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"id": 964389178693533800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/15/2022 00:58:17",
"content": "it differs only by a constant",
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"timestamp": "04/15/2022 00:58:32",
"content": "Oh",
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"id": 964389300462551000,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "04/15/2022 00:58:46",
"content": "Because I've been trying that out for other problems and that \"oh I got a nonzero answer theres a difference I must be wrong\"",
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"id": 964389810997444700,
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"timestamp": "04/15/2022 01:00:48",
"content": "you're doing an indefinite integral",
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"content": "a constant difference is absorbed by the +C",
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"content": "@Zephyr Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
38478bee607943a494ebdb99bee1ab90
|
199,393 |
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help-9
|
affdbbc6401b45d796c821ad997cb3b5
|
199,394 |
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"id": 964405756382302200,
"author_id": 429126595937042500,
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"timestamp": "04/15/2022 02:04:10",
"content": "can't figure out how they went from one step to the next",
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"content": "no idea where that 12 is coming from",
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"content": "$(\\frac12\\sin2\\theta)โ=\\cos2\\theta$",
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"id": 964406312077230100,
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"content": "**Micni9**",
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help-9
|
752d06ed64ba42e489362b30c4e5145d
|
199,395 |
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"timestamp": "04/15/2022 02:56:37",
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"content": "So I can use discriminant",
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"content": "You can set a new variable $\\lambda = \\sqrt(x)$ and then solve for $\\lambda$ and then solve for x",
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"content": "**Max..**",
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"content": "Tbh the easier way would've been to sub out y in the second equation using the first",
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"timestamp": "04/15/2022 02:59:04",
"content": "yeah or for this q u donโt necessarily need determinant",
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"content": "$(x+k-1-1)^2=4x$, expand LHS and solve for x",
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"content": "**Max..**",
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"timestamp": "04/15/2022 02:59:14",
"content": "can find minimum point of the second eqn and then relate it to first as well",
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"timestamp": "04/15/2022 02:59:32",
"content": "Good point",
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"content": "either works",
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"timestamp": "04/15/2022 03:11:42",
"content": "@soufflรฉ Has your question been resolved?",
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"content": "Wait but we need to use discriminant tho?",
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"timestamp": "04/15/2022 03:19:31",
"content": "Oh wait nvm",
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"author_id": 922322900571263000,
"author_name": "soufflรฉ",
"timestamp": "04/15/2022 03:19:33",
"content": ".close",
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},
{
"id": 964424729068978200,
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"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 03:19:33",
"content": "Channel closed",
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}
] |
help-9
|
fdac846a0b7443b08d90a0fcdb7b13b0
|
199,396 |
[
{
"id": 964424982597886000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 03:20:34",
"content": "Available help channel!",
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},
{
"id": 964429176704733200,
"author_id": 455728089931055100,
"author_name": "Nikoloz",
"timestamp": "04/15/2022 03:37:13",
"content": "Do anyone have list of triangle formulas ?",
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},
{
"id": 964429178424414200,
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"content": "Pinned a message.",
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"id": 964429334137954300,
"author_id": 455728089931055100,
"author_name": "Nikoloz",
"timestamp": "04/15/2022 03:37:51",
"content": "Or it isn't allowed to ask here",
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},
{
"id": 964430171170046000,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "04/15/2022 03:41:11",
"content": "what do u mean by triangle formulas exactly",
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"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "04/15/2022 03:42:09",
"content": "like the trig ratios?",
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},
{
"id": 964430644618858500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/15/2022 03:43:03",
"content": "there are a plethora of formulas/identities related to triangles",
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},
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"id": 964430697056055300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/15/2022 03:43:16",
"content": "be more specifc",
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},
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"id": 964433109972045800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 03:52:51",
"content": "@Nikoloz Has your question been resolved?",
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"timestamp": "04/15/2022 04:07:51",
"content": "Channel closed",
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}
] |
help-9
|
4ca57013fa7742eb8335ac887459c70f
|
199,397 |
[
{
"id": 964458451252154400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 05:33:33",
"content": "Available help channel!",
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},
{
"id": 964465721360928800,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:02:26",
"content": "a 4uc is bought from infinite to a point p by performing 0.037J work the potential at point p is",
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},
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"id": 964465723122536400,
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"timestamp": "04/15/2022 06:02:27",
"content": "Pinned a message.",
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"id": 964466077096636400,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:03:51",
"content": "im stuck on that question been stuck on it for 2 hrs",
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},
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"id": 964466137368760300,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:04:06",
"content": "4uc would be 4*10^-6",
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},
{
"id": 964466343200038900,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:04:55",
"content": "nvm",
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},
{
"id": 964466354524663800,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:04:57",
"content": "found the answer",
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},
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"id": 964466360799334400,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:04:59",
"content": "sry",
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},
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"id": 964466367543795700,
"author_id": 769207907714859100,
"author_name": "Mamzi",
"timestamp": "04/15/2022 06:05:00",
"content": ".close",
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},
{
"id": 964466369125032000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 06:05:01",
"content": "Channel closed",
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] |
help-9
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0a941f730d54481a97928e69ab836054
|
199,398 |
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{
"id": 955278769705328600,
"author_id": 636716874666606600,
"author_name": "bananasauce",
"timestamp": "03/20/2022 21:36:46",
"content": "if I want to independently study topology, is there any prerequisites I should have? Eg; anything I should look at before. (HS Freshman)",
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"id": 955279066112618600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/20/2022 21:37:57",
"content": "Check out at least the basics of real analysis, as topology is trying to extend those ideas to general sets",
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},
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"id": 955279075054854300,
"author_id": 684674576998858800,
"author_name": "kloser",
"timestamp": "03/20/2022 21:37:59",
"content": "maybe some set theory",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "03/20/2022 21:38:12",
"content": "Oh yeah, set theory asap of course",
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"id": 955279424054513700,
"author_id": 391959424924778500,
"author_name": "ohNoiAmHere",
"timestamp": "03/20/2022 21:39:22",
"content": "TLDR:\n\nSet point topology -> Maybe some set theory\nAlgebraic topology -> Abstract algebra\n\nAlso, I highly recommend knowing what a formal proof is.",
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"id": 955279473845096400,
"author_id": 391959424924778500,
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"timestamp": "03/20/2022 21:39:34",
"content": "And of course analysis",
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"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 21:42:50",
"content": "Available help channel!",
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"id": 955281916897148900,
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"content": "Pinned a message.",
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"timestamp": "03/20/2022 21:49:25",
"content": "i'm a bit stuck on this problem",
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"id": 955282056491991000,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 21:49:50",
"content": "with the denominator on the second step on my work",
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"timestamp": "03/20/2022 21:56:30",
"content": "The numerator looks good, but for the denominator I would use this identity:",
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"timestamp": "03/20/2022 21:56:47",
"content": "$\\cos(2x)=1-2\\sin^2(x)$",
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"timestamp": "03/20/2022 21:57:01",
"content": "**sadkid**",
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"timestamp": "03/20/2022 21:57:47",
"content": "since the final product that you're trying to get is cos(x)/sin(x), this will help you get that",
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"timestamp": "03/20/2022 21:57:48",
"content": "but cos(2x) isnt equal to cos^2(x) right?",
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"timestamp": "03/20/2022 21:58:19",
"content": "no",
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"timestamp": "03/20/2022 21:58:21",
"content": "so how exactly would i plug it into my denominator?",
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"timestamp": "03/20/2022 21:59:11",
"content": "**sadkid**",
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"timestamp": "03/20/2022 21:59:55",
"content": "that way you can cancel out a sin(x) from the numerator and be left with just cos(x) in the numerator and sin(x) in the denominator",
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"id": 955285169483448400,
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"author_name": "manuel",
"timestamp": "03/20/2022 22:02:12",
"content": "i understand the canceling part but",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:02:20",
"content": "applying the identity seems to confuse me",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:02:37",
"content": "i don't understand the application for my denominator",
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"id": 955285365005107200,
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"author_name": "manuel",
"timestamp": "03/20/2022 22:02:59",
"content": "where the 1- is coming from",
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"author_id": 478703800463523840,
"author_name": "sadkid",
"timestamp": "03/20/2022 22:07:14",
"content": "this part?",
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"timestamp": "03/20/2022 22:07:29",
"content": ".",
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"timestamp": "03/20/2022 22:07:55",
"content": "yeah",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:08:20",
"content": "and what part of my denominator i would replace with the equal part of that identity",
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"timestamp": "03/20/2022 22:08:35",
"content": "that was carried over from before",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:08:35",
"content": "since i don't see cos(2*theta) in my denominator",
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"timestamp": "03/20/2022 22:08:44",
"content": "nor 2sin^2(theta)",
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"timestamp": "03/20/2022 22:08:54",
"content": "hol up??",
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"timestamp": "03/20/2022 22:09:08",
"content": "i see cos^2(theta)",
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"timestamp": "03/20/2022 22:09:28",
"content": "wait i think",
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"id": 955287011898572800,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:09:32",
"content": "i did my work wrong",
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"timestamp": "03/20/2022 22:09:47",
"content": "**sadkid**",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:10:14",
"content": "idk where i got 2sin(x)*cos(x) / cos^2(x)-sin^2(x) from",
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"id": 955287244938305700,
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"timestamp": "03/20/2022 22:10:27",
"content": "let me start all over again with the identity u sent",
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"timestamp": "03/20/2022 22:10:34",
"content": "okay",
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"author_id": 478703800463523840,
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"timestamp": "03/20/2022 22:10:37",
"content": "but the numerator is correct",
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"timestamp": "03/20/2022 22:11:14",
"content": "**sadkid**",
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"timestamp": "03/20/2022 22:11:47",
"content": "got it",
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"id": 955287641329389700,
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"author_name": "manuel",
"timestamp": "03/20/2022 22:12:02",
"content": "so my denominator turns into 1-1-2sin^2(x)",
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"timestamp": "03/20/2022 22:12:09",
"content": "yep",
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"id": 955287681947013100,
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"timestamp": "03/20/2022 22:12:11",
"content": "which turns into -2sin^2(x)",
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"timestamp": "03/20/2022 22:12:15",
"content": "hol up",
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"timestamp": "03/20/2022 22:12:27",
"content": "you mismatched parentheses",
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"timestamp": "03/20/2022 22:12:48",
"content": "**sadkid**",
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"content": "ohh",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:14:06",
"content": "1-1+2sin^2(x)?",
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"timestamp": "03/20/2022 22:14:13",
"content": "yes sirrrrr",
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"timestamp": "03/20/2022 22:14:21",
"content": "= 2sin^2(x)",
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"timestamp": "03/20/2022 22:14:25",
"content": "yup",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:14:57",
"content": "but i cant cancel out since my denominator has a power of 2 and my numerator doesnt?",
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"id": 955288440780513300,
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"author_name": "manuel",
"timestamp": "03/20/2022 22:15:12",
"content": "i can cancel out the 2",
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"id": 955288451345948700,
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"timestamp": "03/20/2022 22:15:15",
"content": "actually",
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"timestamp": "03/20/2022 22:15:30",
"content": "**sadkid**",
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"author_name": "manuel",
"timestamp": "03/20/2022 22:15:48",
"content": "2sin(x)*cos(x) / 2sin^2(x)",
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"timestamp": "03/20/2022 22:15:52",
"content": "now you have to use the numerator you found originally",
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"timestamp": "03/20/2022 22:15:58",
"content": "yes sirrrr",
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"id": 955288712349118500,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:16:17",
"content": "and cancel out the leading term of the numerator an denominator?",
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"id": 955288726643290100,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:16:20",
"content": "the 2 ^",
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"id": 955288752081743900,
"author_id": 478703800463523840,
"author_name": "sadkid",
"timestamp": "03/20/2022 22:16:26",
"content": "yup",
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"id": 955288918343974900,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:17:06",
"content": "sin^2(x) = sin(x) * sin(x)",
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"id": 955288959162916900,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:17:16",
"content": "so it leaves me with",
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"id": 955289039580323800,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:17:35",
"content": "sin(x) * cos(x) / sin(x) * sin(x)",
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"id": 955289069674438700,
"author_id": 869323910162825200,
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"timestamp": "03/20/2022 22:17:42",
"content": "cancel out one sin",
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"id": 955289093976244200,
"author_id": 869323910162825200,
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"timestamp": "03/20/2022 22:17:48",
"content": "cos (x) / sin (x)",
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"author_id": 478703800463523840,
"author_name": "sadkid",
"timestamp": "03/20/2022 22:18:05",
"content": "which is equal to?",
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"id": 955289187962216400,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:18:10",
"content": "cot theta",
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"author_id": 478703800463523840,
"author_name": "sadkid",
"timestamp": "03/20/2022 22:18:19",
"content": "https://tenor.com/view/wheelie-rollin-they-see-me-rollin-jeep-kid-gif-19615923",
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"id": 955289283240009900,
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"author_name": "manuel",
"timestamp": "03/20/2022 22:18:33",
"content": "okay so my issue was something with my work on the denominator",
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"timestamp": "03/20/2022 22:18:39",
"content": "yeah",
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"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:18:44",
"content": "i'll try to be more attentive with my identities",
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"author_name": "sadkid",
"timestamp": "03/20/2022 22:18:47",
"content": "I think you thought it said $cos^{2}(x)$",
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"id": 955289387531386900,
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"timestamp": "03/20/2022 22:18:58",
"content": "**sadkid**",
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"timestamp": "03/20/2022 22:19:05",
"content": "yeah i think so",
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"id": 955289447040168000,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:19:12",
"content": "then it messed up my whole problem ๐ญ",
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{
"id": 955289460583596000,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:19:15",
"content": "but tysm !",
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"id": 955289479218872300,
"author_id": 478703800463523840,
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"timestamp": "03/20/2022 22:19:20",
"content": "np",
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"id": 955289480594620400,
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"author_name": "manuel",
"timestamp": "03/20/2022 22:19:20",
"content": "i really appreciate it",
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},
{
"id": 955289534898245600,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "03/20/2022 22:19:33",
"content": ".close",
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},
{
"id": 955289537372901400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 22:19:34",
"content": "Channel closed",
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}
] |
help-9
|
c91382324fc249389f0d1504e7d6c826
|
199,399 |
[
{
"id": 956109514363514900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 04:37:51",
"content": "Available help channel!",
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},
{
"id": 956118099231400000,
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"author_name": "WhyWouldYouKap",
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"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:12:31",
"content": "would like some help on answering",
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},
{
"id": 956118402030784500,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:13:10",
"content": "Where are you stuck?",
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},
{
"id": 956118435308396500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:13:18",
"content": "where to start",
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},
{
"id": 956118477737963500,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:13:28",
"content": "So you have the total time",
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},
{
"id": 956118523623653400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:13:39",
"content": "ik theres some s=d/t but idk where its gonna be useful",
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{
"id": 956118575314268200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:13:52",
"content": "also its a quadratics worksheet so thats gonna come in somewhere",
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{
"id": 956118601738371100,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:13:58",
"content": "You know the distances",
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{
"id": 956118624584740900,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:14:03",
"content": "And you know the speeds",
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{
"id": 956118646915235800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:14:09",
"content": "idk the speeds",
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{
"id": 956118712610607100,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:14:24",
"content": "ik one is 21km/h faster than the other",
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"timestamp": "03/23/2022 05:14:33",
"content": "Yeah",
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"timestamp": "03/23/2022 05:14:36",
"content": "are you saying",
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"id": 956118781372031000,
"author_id": 728366980796514300,
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"timestamp": "03/23/2022 05:14:41",
"content": "that with s=d/t",
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"timestamp": "03/23/2022 05:14:48",
"content": "that the total distance is 392",
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"timestamp": "03/23/2022 05:14:53",
"content": "the total time is 11 hours",
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"id": 956118875714519000,
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"timestamp": "03/23/2022 05:15:03",
"content": "so if we rearrange the sdt triangle",
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"timestamp": "03/23/2022 05:15:19",
"content": "we get 392/11 is the speeds?",
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"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:16:35",
"content": "No no, you can use that only if the speed is constant",
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"timestamp": "03/23/2022 05:16:39",
"content": "ah ok",
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:16:42",
"content": "Use T=D/S",
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},
{
"id": 956119305156702200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:16:46",
"content": "ok",
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"id": 956119351440838700,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "03/23/2022 05:16:57",
"content": "I am assuming its saying it travels 196 by train",
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"timestamp": "03/23/2022 05:17:01",
"content": "yes",
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{
"id": 956119372081008600,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "03/23/2022 05:17:02",
"content": "and comes back 196 km by car",
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{
"id": 956119376749273100,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "03/23/2022 05:17:03",
"content": "right?",
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{
"id": 956119384722665500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:17:05",
"content": "true",
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"id": 956119402842062800,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "03/23/2022 05:17:09",
"content": "`speed of train = x km/h \nspeed of car = x + 21 km/h \n\ntime taken to reach by train = 196/x \ntime taken to arrive by car = 196/x+21\n\n196/x + 196/x+21 = 11 `",
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"timestamp": "03/23/2022 05:17:11",
"content": "thats my understanding of it mate",
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"timestamp": "03/23/2022 05:17:33",
"content": "holy crap",
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"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:17:36",
"content": "thats so smart",
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},
{
"id": 956119565442629600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:17:48",
"content": "so now do i just multiply by the lcd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956119581058019300,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:17:51",
"content": "and solve?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956119763606728700,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:18:35",
"content": "so id get 196(x+21) + 196x = 11x(x+21)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956119836415656000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:18:52",
"content": "if so, thats very helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956119894435463200,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/23/2022 05:19:06",
"content": "Yup",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956119952174239700,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:19:20",
"content": "thanks mate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956119968917880800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:19:24",
"content": "really appreciate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956120009179029500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:19:34",
"content": "how do I close this thing now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956120049658265600,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "03/23/2022 05:19:43",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956120079714644000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "03/23/2022 05:19:50",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956120081321054200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 05:19:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4531c5aabe424258abb2dea0d8361a9a
|
199,400 |
[
{
"id": 964476115827691500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 06:43:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 964477587004981200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 06:49:35",
"content": "Pinned a message.",
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"guildId": null
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"id": 964481360733552600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 07:04:35",
"content": "@Ross Has your question been resolved?",
"attachments": [],
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{
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"timestamp": "04/15/2022 07:35:07",
"content": "@Ross Has your question been resolved?",
"attachments": [],
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"id": 703907270618251300,
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 08:05:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6d85b7ed27f440208ce49482958224af
|
199,401 |
[
{
"id": 964496849526468600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 08:06:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 964500728590790700,
"author_id": 732801184351387600,
"author_name": "dawdawd",
"timestamp": "04/15/2022 08:21:33",
"content": "",
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"id": 964500730666942500,
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"timestamp": "04/15/2022 08:21:33",
"content": "Pinned a message.",
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"messageId": 964500728590790700,
"channelId": 486844875632017400,
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}
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{
"id": 964500762061324300,
"author_id": 732801184351387600,
"author_name": "dawdawd",
"timestamp": "04/15/2022 08:21:41",
"content": "would it be history?",
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"reference": null
},
{
"id": 964500811486994400,
"author_id": 732801184351387600,
"author_name": "dawdawd",
"timestamp": "04/15/2022 08:21:53",
"content": "explanation would be appreciated too",
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"reference": null
},
{
"id": 964502248099037200,
"author_id": 637630850791505900,
"author_name": "dee ๐",
"timestamp": "04/15/2022 08:27:35",
"content": "yep",
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"name": "dawdawd",
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"id": 964502423085416600,
"author_id": 732801184351387600,
"author_name": "dawdawd",
"timestamp": "04/15/2022 08:28:17",
"content": "is there some reason?",
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"id": 964502713897455600,
"author_id": 637630850791505900,
"author_name": "dee ๐",
"timestamp": "04/15/2022 08:29:26",
"content": "SD basically measures how spread out the data is from the mean, the bigger the number the more spread out https://www.mathsisfun.com/data/standard-deviation.html",
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},
{
"id": 964503209894899700,
"author_id": 732801184351387600,
"author_name": "dawdawd",
"timestamp": "04/15/2022 08:31:24",
"content": "gotcha thanks",
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},
{
"id": 964503294808571900,
"author_id": 732801184351387600,
"author_name": "dawdawd",
"timestamp": "04/15/2022 08:31:45",
"content": ".close",
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},
{
"id": 964503296364650500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 08:31:45",
"content": "Channel closed",
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}
] |
help-9
|
f963aa8cef5f43c1bdbac419220a6b9d
|
199,402 |
[
{
"id": 964503549717385200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 08:32:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 964511734364790900,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 09:05:17",
"content": "There is a paper that is 2m^2. On the top of the paper there is a 10cm wide margin, and on the bottom there is a 5cm margin. On both sides of the paper there is a 2.5cm margin. What dimensions (length and width) should the paper have in order to have the biggest area possible inside the margins? And what is the area inside the margins then?",
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},
{
"id": 964511736147361800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 09:05:17",
"content": "Pinned a message.",
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"messageId": 964511734364790900,
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}
},
{
"id": 964511843475423200,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 09:05:43",
"content": "How the heck to do this",
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},
{
"id": 964515619598905300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 09:20:43",
"content": "@sure Has your question been resolved?",
"attachments": [],
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"id": 964523356802121700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 09:51:28",
"content": "@sure Has your question been resolved?",
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"id": 825100575346917400,
"name": "sure",
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},
{
"id": 964525658527109100,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:00:37",
"content": "bro",
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"name": "sure",
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},
{
"id": 964525710054129700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:00:49",
"content": "have you done any differentiation so far?",
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},
{
"id": 964525726382583800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:00:53",
"content": "@sure",
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"id": 964525790165352600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:01:08",
"content": "l x b = 20000",
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},
{
"id": 964526279623868400,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:03:05",
"content": "(l-15)(b-5) = A",
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},
{
"id": 964526366605332600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:03:25",
"content": "b = 20000/l",
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},
{
"id": 964526579290079200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:04:16",
"content": "20000 + 75 - 5(3b+l) = A",
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},
{
"id": 964526771850604700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:05:02",
"content": "use this to get A in terms of l",
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},
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"id": 964526828482085000,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/15/2022 10:05:15",
"content": "dA/dl = 0",
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},
{
"id": 964528675129294800,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 10:12:36",
"content": "Where do u get 20000 from",
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},
{
"id": 964543775458349000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 11:12:36",
"content": "@sure Has your question been resolved?",
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"id": 964548926789271700,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:33:04",
"content": "Amount of training hours after x weeks is:\nf(x) = 1,1x + 0,16x * sin x",
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},
{
"id": 964549149192224800,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:33:57",
"content": "How many hours of training are them planning to do the upcoming year?",
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},
{
"id": 964549194004201500,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:34:08",
"content": "When x is from 0 to 52",
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},
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"id": 964549223586627600,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:34:15",
"content": "0 weeks to 52 weeks which is 1 year",
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},
{
"id": 964549273574314000,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:34:27",
"content": "I tried to plug in 52 for x",
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},
{
"id": 964549296936616100,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:34:32",
"content": "But didn't work",
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},
{
"id": 964549415710884000,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 11:35:01",
"content": "I got 63 hours, but the answer is 1489 hours",
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},
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"id": 964551993693708300,
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"author_name": "sure",
"timestamp": "04/15/2022 11:45:15",
"content": "",
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"id": 964552133338869800,
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"author_name": "sure",
"timestamp": "04/15/2022 11:45:49",
"content": "It's task C",
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},
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"id": 964582333321719800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 13:45:49",
"content": "@sure Has your question been resolved?",
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{
"id": 964597739881103400,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "04/15/2022 14:47:02",
"content": "I believe you would need to take the sum of f(x) for all x values",
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},
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"id": 964627903067353200,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/15/2022 16:46:54",
"content": ",w integrate 1.1x+0.16x*sinx from 0 to 52",
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},
{
"id": 964627914370994200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/15/2022 16:46:56",
"content": "Results provided by WolframAlpha",
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},
{
"id": 964627947296276600,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/15/2022 16:47:04",
"content": "yeah",
"attachments": [],
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},
{
"id": 964644138408616000,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "04/15/2022 17:51:24",
"content": "Nice",
"attachments": [],
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},
{
"id": 964704537267019800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/15/2022 21:51:25",
"content": "@sure Has your question been resolved?",
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"id": 964764935911518200,
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"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 01:51:25",
"content": "Channel closed",
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}
] |
help-9
|
00be5798046948478c65024cd984928f
|
199,403 |
[
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"timestamp": "04/16/2022 01:52:25",
"content": "Available help channel!",
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},
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"id": 964770288648728600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/16/2022 02:12:41",
"content": "we're supposed to use kuratowski's theorem for this problem, but i can't seem to find any subgraph that's homeomorphic to K3,3",
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"content": "Pinned a message.",
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"timestamp": "04/16/2022 02:27:41",
"content": "@Deleted User Has your question been resolved?",
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"id": 964774266618904600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/16/2022 02:28:29",
"content": "@Helpers",
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"id": 964776237220397000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/16/2022 02:36:19",
"content": "@Deleted User not sure if it will help but my first idea would be to look at the degree 3 vertices",
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"timestamp": "04/16/2022 02:36:58",
"content": "any K_(3,3) graph in G will need to have at least 2 of those",
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"content": "yeah, i looked at a few like f-e-b and a-b-c, but those contain edges connecting f-e and a-b so i dont believe it counts as a complete bipartite for k3,3",
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"content": "f-e-b and a-b-c being the two sets",
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"content": "I think you can rule out vertices being in the K_(3,3)",
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"timestamp": "04/16/2022 02:39:30",
"content": "like let's try to make a K_(3,3) that has vertex g in it",
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"content": "ah okay",
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"timestamp": "04/16/2022 02:40:12",
"content": "another issue is can any of the vertices here be series reduced? i thought series reduction could only be done on vertices of degree 2",
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"timestamp": "04/16/2022 02:40:15",
"content": "it must look like\ng - -\nd h a \nright?",
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"timestamp": "04/16/2022 02:41:23",
"content": "ugh I can't remember the terminology but d h and a must be in the set of 3 vertices that g isn't",
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"timestamp": "04/16/2022 02:41:29",
"content": "wait, i was under the assumption that subgraphs couldn't add edges that dont already exist in the original graph?",
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"timestamp": "04/16/2022 02:41:31",
"content": "or is that incorrect",
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"timestamp": "04/16/2022 02:42:04",
"content": "did something I said suggest that?",
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"timestamp": "04/16/2022 02:42:34",
"content": "ah wait nvm i misread",
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"timestamp": "04/16/2022 02:42:53",
"content": "yeah g - - and d h a seems right",
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"timestamp": "04/16/2022 02:43:25",
"content": "then h only connects to f and c?",
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"timestamp": "04/16/2022 02:43:39",
"content": "yep",
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"timestamp": "04/16/2022 02:43:53",
"content": "but f doesnt connect to d though",
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"timestamp": "04/16/2022 02:43:58",
"content": "yep, exactly",
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"timestamp": "04/16/2022 02:44:25",
"content": "been having trouble really just finding it",
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"timestamp": "04/16/2022 02:45:09",
"content": "i think some type of series reduction has to be made since k3,3 doesnt exist in any subgraph i believe",
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"timestamp": "04/16/2022 02:45:22",
"content": "my point was that the (or any, if there are multiple) K_(3,3) can't contain g",
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"timestamp": "04/16/2022 02:45:37",
"content": "and if you can do the same thing with another vertex, you'll know exactly which vertices you need to use",
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"timestamp": "04/16/2022 02:45:54",
"content": "okay thanks, i'll try to work off that",
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"timestamp": "04/16/2022 02:51:45",
"content": "ok after playing around with it a bit I feel like there must be something wrong with what I said",
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"author_name": "Deleted User",
"timestamp": "04/16/2022 02:52:19",
"content": "with the not containing g?",
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"timestamp": "04/16/2022 02:52:38",
"content": "yea",
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"timestamp": "04/16/2022 02:53:48",
"content": "unless there is no K_(3,3) ๐ตโ๐ซ",
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"timestamp": "04/16/2022 02:54:20",
"content": "yeah, i believe there is no k3,3? maybe only a subgraph homeomorphic",
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"timestamp": "04/16/2022 02:54:38",
"content": "so hypothetically, if you took a-e-g-d for example as your subgraph",
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"timestamp": "04/16/2022 02:54:41",
"content": "would g have degree 2?",
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"timestamp": "04/16/2022 02:54:47",
"content": "and thus be able to be series reduced?",
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"timestamp": "04/16/2022 02:56:03",
"content": "ahhhh yea I think you are right",
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"timestamp": "04/16/2022 02:57:27",
"content": "sorry, I've only been thinking about trying to find a K_(3,3)",
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"timestamp": "04/16/2022 02:58:08",
"content": "yeee",
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"author_name": "Deleted User",
"timestamp": "04/16/2022 03:00:37",
"content": "i'm having difficulty finding even a subgraph of 7 vertices that would contain a vertice of degree 2 that could be series reduced though",
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"timestamp": "04/16/2022 03:14:08",
"content": "ok I might have one",
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"timestamp": "04/16/2022 03:14:27",
"content": "sure shoot",
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"timestamp": "04/16/2022 03:18:17",
"content": "I drew it poorly, one moment haha",
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"timestamp": "04/16/2022 03:21:37",
"content": "",
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"timestamp": "04/16/2022 03:22:11",
"content": "the one between g and f is h",
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"timestamp": "04/16/2022 03:24:18",
"content": "ahh",
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"author_name": "Deleted User",
"timestamp": "04/16/2022 03:24:26",
"content": "but what happened to the edges between a-b and f-e",
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"author_name": "Deleted User",
"timestamp": "04/16/2022 03:25:17",
"content": "can't we just remove them?",
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"id": 964788690293522400,
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"author_name": "Deleted User",
"timestamp": "04/16/2022 03:25:48",
"content": "uhhh maybe i missed something fundamental LOL",
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"timestamp": "04/16/2022 03:25:57",
"content": "this is a subgraph of G, isn't it?",
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"timestamp": "04/16/2022 03:25:59",
"content": "yes",
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"author_name": "Deleted User",
"timestamp": "04/16/2022 03:26:17",
"content": "i guess it's a lot easier than i made it out to be then lmao",
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"timestamp": "04/16/2022 03:27:35",
"content": "thanks for the help :holoApple:",
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"timestamp": "04/16/2022 03:27:42",
"content": "np!",
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"author_name": "Deleted User",
"timestamp": "04/16/2022 03:32:47",
"content": ".close",
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{
"id": 964790450760351700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 03:32:48",
"content": "Channel closed",
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] |
help-9
|
b462122dfa20477798e8b229c44e33f4
|
199,404 |
[
{
"id": 964790703991439400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 03:33:48",
"content": "Available help channel!",
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},
{
"id": 964804196698316900,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:27:25",
"content": "According to a dietician, two slices of chocolate cake and three slices of mango cake contain 132 grams of sugar. Three slices of chocolate cake and five slices of mango cake contain 210 grams of sugar. How many grams of sugar does one slice of chocolate cake contain?",
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{
"id": 964804198711590900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 04:27:26",
"content": "Pinned a message.",
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{
"id": 964804504799301600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/16/2022 04:28:39",
"content": "make an equation",
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},
{
"id": 964804533693874200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/16/2022 04:28:46",
"content": "simultaneous equation",
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},
{
"id": 964804595111043100,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:29:00",
"content": "2x+3y = 132\n3x + 5y = 210 right?",
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{
"id": 964804629672099800,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:29:08",
"content": "but I forgot what's next",
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},
{
"id": 964804993699958800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/16/2022 04:30:35",
"content": "https://youtu.be/Lwto-lQzmec",
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},
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"id": 964805937875546100,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:34:20",
"content": "Familiar with substitution and elimination method for simultaneous equations?",
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"id": 964806193962967000,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:35:21",
"content": "I'm not so familiar with that",
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},
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"id": 964806334040133600,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:35:55",
"content": "What topic are you doing right now?",
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{
"id": 964806448385241100,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:36:22",
"content": "Idk what this is called",
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},
{
"id": 964806468954128400,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:36:27",
"content": "Nevertheless, you should say what x and y represent",
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"author_name": "Ichika",
"timestamp": "04/16/2022 04:36:27",
"content": "Seems like algebra to me",
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"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:36:47",
"content": "Itโs simultaneous equations prob",
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"id": 964806562394828800,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:36:49",
"content": "X represents the chocolate cake\nY represents mango cake",
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},
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"id": 964806584540725200,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:36:54",
"content": "No",
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"id": 964806655109890000,
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"timestamp": "04/16/2022 04:37:11",
"content": "wdym",
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{
"id": 964806659740434400,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:37:12",
"content": "Thatโs wrong",
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},
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"id": 964806722755649500,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:37:27",
"content": "why?",
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},
{
"id": 964806751952175100,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:37:34",
"content": "According to a dietician, two slices of chocolate cake and three slices of mango cake contain 132 grams of sugar. Three slices of chocolate cake and five slices of mango cake contain 210 grams of sugar. How many grams of sugar does one slice of chocolate cake contain?",
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"id": 964806772697210900,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:37:39",
"content": "Reread it",
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"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:38:25",
"content": "The last question hints what x represents",
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"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:38:34",
"content": "And will give an idea for what y represents",
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"timestamp": "04/16/2022 04:39:02",
"content": "X represents the grams of sugar for chocolate cake\nY represents grams of sugar for the mango cake",
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"timestamp": "04/16/2022 04:39:03",
"content": "?",
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"content": "Yes",
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"timestamp": "04/16/2022 04:39:36",
"content": "Youโll prob need to learn both substitution and elimination methods for this simultaneous equations",
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"timestamp": "04/16/2022 04:39:50",
"content": "Watch the video this person recommended",
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"timestamp": "04/16/2022 04:39:59",
"content": "To get an idea of what to do with the equations",
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"timestamp": "04/16/2022 04:40:25",
"content": "Btw itโs slice of chocolate cake and slice of mango cake",
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"timestamp": "04/16/2022 04:40:25",
"content": "Kinda did that the first time but the value of x was large",
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"timestamp": "04/16/2022 04:40:29",
"content": "Not the whole cake",
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"author_name": "Ichika",
"timestamp": "04/16/2022 04:40:43",
"content": "yea yea imma try it again",
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"timestamp": "04/16/2022 04:40:47",
"content": "Oof I stuff up on simultaneous equations sometimes too",
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"timestamp": "04/16/2022 04:40:51",
"content": "Let me use calc",
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"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:42:09",
"content": "Ohhh",
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"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:42:11",
"content": "I got it!",
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"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:42:17",
"content": "It's 30g",
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"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:42:37",
"content": "So x = 30",
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"timestamp": "04/16/2022 04:42:41",
"content": "Yea thatโs what I got",
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"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:42:46",
"content": "What u get for y?",
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"author_name": "Ichika",
"timestamp": "04/16/2022 04:43:10",
"content": "",
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"author_name": "Ichika",
"timestamp": "04/16/2022 04:43:14",
"content": "Only x was asked so I didn't solve for y hehe",
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"id": 964808221577605100,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:43:25",
"content": "Oh right",
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"id": 964808254637113300,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:43:33",
"content": "Lmfao forgot about the question",
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"id": 964808299780382700,
"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:43:43",
"content": "So one slice of chocolate cake contains 30g of sugar",
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"id": 964808305547554800,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:43:45",
"content": "Just for practice. Write your final answer in a sentence",
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"id": 964808327278248000,
"author_id": 536452419219882000,
"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:43:50",
"content": "Yea thatโs right",
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"id": 964808337235521500,
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"author_name": "DontalRulz",
"timestamp": "04/16/2022 04:43:52",
"content": "Good job",
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"author_id": 572724250188840960,
"author_name": "Ichika",
"timestamp": "04/16/2022 04:43:52",
"content": "yeaaa",
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"author_id": 572724250188840960,
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"timestamp": "04/16/2022 04:43:55",
"content": "Thank you!",
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"timestamp": "04/16/2022 04:44:00",
"content": "Np",
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"id": 964808371385561100,
"author_id": 572724250188840960,
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"timestamp": "04/16/2022 04:44:01",
"content": ".close",
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},
{
"id": 964808372945817600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 04:44:01",
"content": "Channel closed",
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}
] |
help-9
|
33f8da538c35450f9c914a94923175bd
|
199,405 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 04:45:01",
"content": "Available help channel!",
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"id": 964809362176610300,
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"content": "If the trace of a matrix (A squared) is zero, then is it true that A is zero?",
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"timestamp": "04/16/2022 04:49:31",
"content": "@mniip",
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"content": "@mniip pls ban this",
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"timestamp": "04/16/2022 04:50:30",
"content": "@Moderators",
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"id": 964810018903953500,
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"timestamp": "04/16/2022 04:50:33",
"content": "ty",
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"timestamp": "04/16/2022 05:00:49",
"content": "It is true btw",
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"timestamp": "04/16/2022 05:01:59",
"content": "Wait I'm not so sure now",
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"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "04/16/2022 05:02:20",
"content": "$\\begin{pmatrix} 1 & 1 \\\\ -1 & 1 \\end{pmatrix}$",
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"timestamp": "04/16/2022 05:02:21",
"content": "About?",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/16/2022 05:02:23",
"content": "**Katharine**",
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"timestamp": "04/16/2022 05:02:39",
"content": "tr(A^T A) is what I'm thinking of",
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"timestamp": "04/16/2022 05:02:52",
"content": "Zero iff zero",
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"author_name": "Katharine",
"timestamp": "04/16/2022 05:04:13",
"content": "$\\begin{pmatrix} 1 & 1 \\\\ -1 & 1 \\end{pmatrix}^2 = \\begin{pmatrix} 0 & 2 \\\\ 2 & 0 \\end{pmatrix}$",
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"timestamp": "04/16/2022 05:04:29",
"content": "**Katharine**",
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"timestamp": "04/16/2022 05:04:33",
"content": "am i wrong?",
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"timestamp": "04/16/2022 05:05:08",
"content": "-2 on the bottom I think",
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"timestamp": "04/16/2022 05:05:30",
"content": "But yeah this is indeed a counterexample",
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"content": "i only did the top 0 and 2",
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"timestamp": "04/16/2022 05:08:15",
"content": "i just inferred the other 2",
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"timestamp": "04/16/2022 05:08:16",
"content": "XD",
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"timestamp": "04/16/2022 05:08:27",
"content": "but i created A from A^2",
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"timestamp": "04/16/2022 05:08:34",
"content": "in the general a ,b, c, and d",
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"timestamp": "04/16/2022 05:08:48",
"content": "with the trace being a^2 + 2 b c + d^2",
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"content": "= 0",
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"timestamp": "04/16/2022 05:08:57",
"content": "a = 1",
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"timestamp": "04/16/2022 05:09:01",
"content": "b = 1",
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"timestamp": "04/16/2022 05:09:04",
"content": "c = -1",
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"timestamp": "04/16/2022 05:09:05",
"content": "d = 1",
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"author_name": "blackiris",
"timestamp": "04/16/2022 05:12:49",
"content": "So, the statement which I have stated above is not always true right?",
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"timestamp": "04/16/2022 05:13:49",
"content": "well if i found a counter example",
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"id": 964815918691672000,
"author_id": 160921656313905150,
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"timestamp": "04/16/2022 05:14:00",
"content": "then it is not correct",
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"author_name": "blackiris",
"timestamp": "04/16/2022 05:14:45",
"content": "hmm don't the matrix u did above prove my statement wrong?",
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"timestamp": "04/16/2022 05:14:55",
"content": "yes",
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"timestamp": "04/16/2022 05:14:58",
"content": "i think so",
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"timestamp": "04/16/2022 05:15:40",
"content": "hmm so we are not quite sure tho.",
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"timestamp": "04/16/2022 05:16:26",
"content": "in general",
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"timestamp": "04/16/2022 05:16:46",
"content": "every matrix that has the condition b = d = a",
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"timestamp": "04/16/2022 05:16:50",
"content": "and c = - a",
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"timestamp": "04/16/2022 05:16:57",
"content": "or b = -a and c = d = a",
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"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "04/16/2022 05:17:02",
"content": "is a counter example",
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"id": 964816727957446700,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "04/16/2022 05:17:13",
"content": "where a != 0",
"attachments": [],
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},
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"id": 964816777274065000,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "04/16/2022 05:17:25",
"content": "maybe i'm wrong about that though",
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},
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"id": 964816796593049600,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "04/16/2022 05:17:29",
"content": "if someone can double check",
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},
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"id": 964820115923284100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 05:30:41",
"content": "@blackiris Has your question been resolved?",
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"timestamp": "04/16/2022 05:45:41",
"content": "Channel closed",
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}
] |
help-9
|
f801df11d0934335bc5b85dedc7c3792
|
199,406 |
[
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"id": 964824144124457000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 05:46:41",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 964825636881465300,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 05:52:37",
"content": "Help",
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"content": "Pinned a message.",
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"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 05:52:45",
"content": "Just read the English part",
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},
{
"id": 964826903473188900,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/16/2022 05:57:39",
"content": "Didn't expected any bengalis like me in the server lol",
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"id": 964827047623024800,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 05:58:13",
"content": "Hi XD",
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},
{
"id": 964830178020827100,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 06:10:40",
"content": "@Helpers",
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},
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"id": 964831315843219500,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/16/2022 06:15:11",
"content": "I didn't got much but I think ABC is a equilateral triangle",
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},
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"id": 964831352816033800,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/16/2022 06:15:20",
"content": "As per the math",
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},
{
"id": 964831437222195300,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/16/2022 06:15:40",
"content": "Nvm it isn't ๐",
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},
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"id": 964833911844798500,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 06:25:30",
"content": "Alright what about this",
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"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 06:27:47",
"content": "@Helpers",
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},
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"id": 964838262319505400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 06:42:47",
"content": "@BlasterOverlord Has your question been resolved?",
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"id": 964839894193156100,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 06:49:16",
"content": ":sadcat:",
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},
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"id": 964847444842119300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 07:19:16",
"content": "@BlasterOverlord Has your question been resolved?",
"attachments": [],
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{
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"discriminator": "1160",
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"id": 964847780055097300,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 07:20:36",
"content": "@Helpers",
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},
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"id": 964850228173877200,
"author_id": 706112069279416400,
"author_name": "blackiris",
"timestamp": "04/16/2022 07:30:20",
"content": "try expanding the given terms using their respective formulas might get what u want",
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"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 07:31:44",
"content": "I did but it just makes things more complicated",
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"id": 964854052041150500,
"author_id": 941361014383997000,
"author_name": "Kalen",
"timestamp": "04/16/2022 07:45:32",
"content": "",
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"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 08:09:56",
"content": "Hi, thank you, but can you explain how you came to that line after โTherefore,โ",
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"author_name": "Kalen",
"timestamp": "04/16/2022 08:20:59",
"content": "oh I just multiply both sides with 2/abc",
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"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 09:06:56",
"content": "I see,thx.",
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"id": 964882882134937600,
"author_id": 531822880950976500,
"author_name": "BlasterOverlord",
"timestamp": "04/16/2022 09:40:05",
"content": ".close",
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},
{
"id": 964882883561025500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 09:40:06",
"content": "Channel closed",
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}
] |
help-9
|
02b5292e11c9476ab8f64fdebf46586c
|
199,407 |
[
{
"id": 964883137001816200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 09:41:06",
"content": "Available help channel!",
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"reference": null
},
{
"id": 964886665665581000,
"author_id": 210874653974069250,
"author_name": "thiccfetus",
"timestamp": "04/16/2022 09:55:07",
"content": "hello, can someone explain to me what the variables y, x, j, k, and n mean in scipy's fft note on line 99? You can ignore the np.sum, exp and arange https://github.com/scipy/scipy/blob/main/scipy/fft/_basic.py\ny[k] = np.sum(x * np.exp(-2j * np.pi * k * np.arange(n)/n))",
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"id": 964886668060553300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 09:55:08",
"content": "Pinned a message.",
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"id": 964887212569264100,
"author_id": 210874653974069250,
"author_name": "thiccfetus",
"timestamp": "04/16/2022 09:57:18",
"content": "x is the array and n is the length",
"attachments": [],
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},
{
"id": 964887488923582600,
"author_id": 210874653974069250,
"author_name": "thiccfetus",
"timestamp": "04/16/2022 09:58:24",
"content": "i suppose k is the frequency value?",
"attachments": [],
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},
{
"id": 964889068162924500,
"author_id": 310130706518900740,
"author_name": "Murat",
"timestamp": "04/16/2022 10:04:40",
"content": "Looks like a computer science problem",
"attachments": [],
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},
{
"id": 964891265164525700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 10:13:24",
"content": "@thiccfetus Has your question been resolved?",
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},
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"id": 964891427060461600,
"author_id": 210874653974069250,
"author_name": "thiccfetus",
"timestamp": "04/16/2022 10:14:03",
"content": "i think it's more of a math problem",
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},
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"id": 964891466356883600,
"author_id": 210874653974069250,
"author_name": "thiccfetus",
"timestamp": "04/16/2022 10:14:12",
"content": "I just need to understand the equation",
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},
{
"id": 964897256828461200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/16/2022 10:37:12",
"content": "This is a domain-specific question, not a math one. A python expert can help more than a math expert",
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"id": 964897277745455100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/16/2022 10:37:17",
"content": ".close",
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},
{
"id": 964897279209259000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 10:37:18",
"content": "Channel closed",
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}
] |
help-9
|
d59768375f4941fc9c90e0376451c3af
|
199,408 |
[
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"id": 964897531924471800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 10:38:18",
"content": "Available help channel!",
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"reference": null
},
{
"id": 964899266181075100,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:45:12",
"content": "yo",
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},
{
"id": 964899269565890700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 10:45:12",
"content": "Pinned a message.",
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"author_name": "Maxaco",
"timestamp": "04/16/2022 10:45:13",
"content": "",
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"id": 964899275823775700,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:45:14",
"content": "plz help",
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"reference": null
},
{
"id": 964900112830726300,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/16/2022 10:48:33",
"content": "What have you tried so far?",
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"id": 964900150545883100,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "04/16/2022 10:48:42",
"content": "If you add the functions, what do you get?",
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},
{
"id": 964900360483385300,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:49:32",
"content": "2x^5 + ax^4 + sx^4 + bx^3 + tx^3",
"attachments": [],
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},
{
"id": 964900368075092000,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:49:34",
"content": "right?",
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},
{
"id": 964900624867139600,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:50:35",
"content": "where's yx^3 from?",
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},
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"id": 964900690310873100,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:50:51",
"content": "i mean t",
"attachments": [],
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},
{
"id": 964901151030001700,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:52:41",
"content": "okay now what do you get after you group the terms (x^5, x^4, x^3) then try to divide by x^4?",
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"id": 964901467272126600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:53:56",
"content": "2x^5 + x^4 (a + s) + x^3 (b + t)",
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},
{
"id": 964901472364011500,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:53:58",
"content": "right?",
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},
{
"id": 964901488180727800,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:54:01",
"content": "yes",
"attachments": [],
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},
{
"id": 964901505524187300,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:54:05",
"content": "divded by x^4?",
"attachments": [],
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"reference": null
},
{
"id": 964901535727358100,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:54:13",
"content": "yes",
"attachments": [],
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},
{
"id": 964901584255459300,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:54:24",
"content": "since the question is asking divisible by x^4",
"attachments": [],
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},
{
"id": 964901611967225900,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:54:31",
"content": "synthetic dividsion right",
"attachments": [],
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"reference": null
},
{
"id": 964901665448792000,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:54:44",
"content": "or what",
"attachments": [],
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"reference": null
},
{
"id": 964901728396918800,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:54:59",
"content": "umm, idk what that means, but try it",
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},
{
"id": 964901762534355000,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:55:07",
"content": "k ill not do that then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 964901765608771600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:55:07",
"content": "xD",
"attachments": [],
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"reference": null
},
{
"id": 964901813063155700,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:55:19",
"content": "how do i divide it by x^4",
"attachments": [],
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"reference": null
},
{
"id": 964901826111602700,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 10:55:22",
"content": "nah do it, cuz maybe that's just a phrase idk lol",
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"timestamp": "04/16/2022 10:56:16",
"content": "okay so [2x^5 + x^4 (a + s) + x^3 (b + t)] / x^4",
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"content": "it is a fraction right? what can you do with terms in numerators in a fraction",
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"timestamp": "04/16/2022 10:58:14",
"content": "would it be 2x",
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"timestamp": "04/16/2022 10:58:22",
"content": "the first on",
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"content": "one*",
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"timestamp": "04/16/2022 10:58:26",
"content": "yes",
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"timestamp": "04/16/2022 10:58:52",
"content": "2x + (a +s) + x^-1(b + t)",
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"content": "yes",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 10:59:18",
"content": "now which of these terms is a fraction?",
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"author_id": 349093430762274800,
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"timestamp": "04/16/2022 10:59:34",
"content": "1/x",
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"id": 964902896758059100,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "04/16/2022 10:59:37",
"content": "last one?",
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"timestamp": "04/16/2022 10:59:40",
"content": "yup",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 11:00:22",
"content": "therefore, since (b+t)x^-1 is a fraction, it means that (b+t)x^3 is not divisible by x^4",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 11:00:51",
"content": "so in order for 2x^5 + x^4 (a + s) + x^3 (b + t) to be divisible by x^4, (b+t)x^3 needs to be gone",
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"author_name": "Maxaco",
"timestamp": "04/16/2022 11:01:04",
"content": "oh wow",
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"author_name": "Maxaco",
"timestamp": "04/16/2022 11:01:05",
"content": "thanks",
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"author_name": "Maxaco",
"timestamp": "04/16/2022 11:01:08",
"content": "thats hard af",
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"id": 964903294763937900,
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"timestamp": "04/16/2022 11:01:12",
"content": "for an SAT question",
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"timestamp": "04/16/2022 11:01:33",
"content": ":BigBrain:",
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"id": 964903476624760800,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 11:01:55",
"content": "just to check, what is your answer?",
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"timestamp": "04/16/2022 11:02:08",
"content": "D",
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"id": 964903560888328300,
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"author_name": "lgkoo",
"timestamp": "04/16/2022 11:02:15",
"content": "ye :espeongg:",
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"id": 964903572766593200,
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"timestamp": "04/16/2022 11:02:18",
"content": "thansk",
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"id": 964903585332744300,
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"timestamp": "04/16/2022 11:02:21",
"content": "thanks*",
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"timestamp": "04/16/2022 11:17:22",
"content": "@Maxaco Has your question been resolved?",
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] |
help-9
|
0a38ceb507fc4e598f1c024fe07dee3a
|
199,409 |
[
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"id": 964911389665808400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 11:33:22",
"content": "Available help channel!",
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"id": 964911488424898600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/16/2022 11:33:46",
"content": "The curve y = 1 + sin x and the positive coordinate axes limit an area, which may rotate about the x-axis. Calculate the volume of the resulting rotating body. What values โโshould I insert in the upper and lower limits of the integral?",
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"timestamp": "04/16/2022 11:33:59",
"content": "I'd say the bounds of the integrals are 0, and the first positive solution of 1+sin x=0, i.e. x=3pi/2",
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"timestamp": "04/16/2022 11:34:28",
"content": "How do I solve this?",
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"id": 964912202765180900,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/16/2022 11:36:36",
"content": "@AuHasard well do you know the formula for rotational volumes?",
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"timestamp": "04/16/2022 11:37:39",
"content": "There are three methods",
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"timestamp": "04/16/2022 11:37:42",
"content": "@Navix",
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"timestamp": "04/16/2022 11:39:15",
"content": "yeah which one do you think will be easiest here",
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"content": "@Navix The thing is I suck at this area of my course because I couldn't wrap my head around it, and I can't tell *when* we can use each one of them.",
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"content": "@AuHasard Has your question been resolved?",
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help-9
|
533cdc8806e54363bbcb1971a61200ea
|
199,410 |
[
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"content": "Pinned a message.",
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"timestamp": "03/23/2022 05:43:05",
"content": "a little confused",
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"id": 956125935722184700,
"author_id": 420505138936021000,
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"timestamp": "03/23/2022 05:43:07",
"content": "on most of em",
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{
"id": 956126004567478300,
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"content": "num 3 is aight",
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"id": 956126047206797300,
"author_id": 420505138936021000,
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"content": "but 2 15-19",
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"timestamp": "03/23/2022 05:48:07",
"content": "15,16,17 and 19",
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"id": 956127204562059300,
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"author_name": "KingArthur",
"timestamp": "03/23/2022 05:48:09",
"content": "pretty confusin",
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"author_name": "MoneyMaker",
"timestamp": "03/23/2022 05:50:08",
"content": "Are you familiar with the exponential law?",
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"content": "i am but",
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"timestamp": "03/23/2022 05:58:56",
"content": "this is",
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"id": 956129956793036800,
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"timestamp": "03/23/2022 05:59:05",
"content": "much more like multiple applications",
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"timestamp": "03/23/2022 05:59:28",
"content": "for example,for 15 can i just the cube into a cube root",
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"id": 956130064083324900,
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"timestamp": "03/23/2022 05:59:31",
"content": "would that be fair?",
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"id": 956130168433410000,
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"timestamp": "03/23/2022 05:59:56",
"content": "and then for the fractional questions",
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"timestamp": "03/23/2022 06:00:09",
"content": "so do i convert the denom to common terms",
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"timestamp": "03/23/2022 06:00:10",
"content": "so ye",
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"content": "simple things like tha",
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"timestamp": "03/23/2022 06:00:15",
"content": "that",
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"content": "just a little confused",
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"timestamp": "03/23/2022 06:08:32",
"content": "for 15",
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"timestamp": "03/23/2022 06:09:09",
"content": "you need to start turning 27 and 9 into a common number for the law to work",
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"timestamp": "03/23/2022 06:09:15",
"content": "try doing that first",
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"timestamp": "03/23/2022 06:15:20",
"content": "@KingArthur Has your question been resolved?",
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"author_name": "Quiche",
"timestamp": "03/23/2022 06:28:20",
"content": "With 2 think about what 225 actually is in comparison with 15, it is just (15^2) so put that in and then you put that to the power of 2/3 like (15^2)^2/3 so you would just multiply to get 15^4/3 then divided by 15^-1/3 which is just equal to 15^5/3",
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"timestamp": "03/23/2022 06:28:44",
"content": "Try using that to solve the rest",
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"content": "Channel closed",
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}
] |
help-9
|
f3f7f39d988f422e98947c89903648ec
|
199,411 |
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"id": 964931474119860400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 12:53:10",
"content": "Available help channel!",
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{
"id": 964935039559270400,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:07:21",
"content": "in the quotient rule\nwhat is g(x)",
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"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 13:07:21",
"content": "Pinned a message.",
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"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:09:01",
"content": "g(x) is the second function in the question",
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"id": 964935480279974000,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:09:06",
"content": "so let's say",
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"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:09:18",
"content": "in the question i have. there is only one?",
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"id": 964935572902772700,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:09:28",
"content": "where is the question?",
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"id": 964935605442207700,
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:09:35",
"content": "",
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"id": 964935670772674600,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:09:51",
"content": "okay, here there are 2 functions",
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"id": 964935708961812500,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:10:00",
"content": "x+7 and x^2-8x+1",
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"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:10:16",
"content": "so numerator is one \nand the denominator is the other?",
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"id": 964935792474615800,
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:10:20",
"content": "yes",
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"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:10:29",
"content": "so g(x) is the denominator",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:11:31",
"content": "you can let g(x) be whatever you want, but typically in the formula, g(x) is the denominator and f(x) is the numerator",
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"id": 964936185082437600,
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:11:54",
"content": "however since the question alr calls that fraction f(x), it may look slightly confusing",
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"id": 964936472597758000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/16/2022 13:13:02",
"content": "some people use u(x) for the numerator and v(x) for the denom",
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"id": 964936544051929200,
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:13:19",
"content": "^",
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"id": 964936759140049000,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:14:11",
"content": "what is u(x) and v(X)",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:15:43",
"content": "it's just a name you can call your functions as, so instead of saying f(x) and g(x) like the formula sheet would write, you can call them u(x) and v(x) or even a(x) and b(x), it's just a name you wish them to be",
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"timestamp": "04/16/2022 13:15:58",
"content": "ahh",
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"id": 964937693253484500,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:17:53",
"content": "so i understand how to do the numerator with the quotient rule but not the denominator",
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"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:18:50",
"content": "i inputed the numbers, but its weird with a parenthesis in a parenthesis",
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"id": 964938200437112800,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:19:54",
"content": "i dont quite follow what you mean, can you show your working?",
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"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:20:13",
"content": "so with this problem",
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"id": 964938446147846100,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:20:53",
"content": "I have this",
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:23:16",
"content": "@lgkoo",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "04/16/2022 13:23:29",
"content": "i cant read that",
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:23:33",
"content": "oh",
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"id": 964939173045874700,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:23:46",
"content": "lemme retry",
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:25:31",
"content": "",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:26:11",
"content": "almost, your denominator is not quite right",
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:26:21",
"content": "it should just be [g(x)]^2",
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"id": 964940001903272000,
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:27:04",
"content": "so just \n(x^2-8x+1)^2",
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"id": 964940168341618800,
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"timestamp": "04/16/2022 13:27:43",
"content": "yes",
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:27:56",
"content": "so why isnt it \ng(x)^2",
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"id": 964940282531549200,
"author_id": 690217572871831600,
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"timestamp": "04/16/2022 13:28:11",
"content": "?",
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"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:28:24",
"content": "[g(x)]^2\nand not\ng(x)^2",
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"id": 964940435879510100,
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"author_name": "lgkoo",
"timestamp": "04/16/2022 13:28:47",
"content": "because it is (x^2-8x+1) entirely squared not just x^2",
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"id": 964940564854345700,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:29:18",
"content": "but g(x)^2 is the whole function?",
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"id": 964940759541375100,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:30:04",
"content": "oh yeah it is, I just want to avoid confusion of g(x^2) cuz I wrote g(x)^2 before and some poeple mixed them up",
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"id": 964940807465468000,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:30:16",
"content": "g(x)^2 = (x^2-8x+1)^2",
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"id": 964940825253535700,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:30:20",
"content": "yes",
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"id": 964940870816239600,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:30:31",
"content": "I do [] around it but makes no difference",
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"id": 964940900625170600,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:30:38",
"content": "ahh",
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{
"id": 964940957629943900,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:30:52",
"content": "thank you",
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"id": 964941036847771600,
"author_id": 690217572871831600,
"author_name": "lgkoo",
"timestamp": "04/16/2022 13:31:10",
"content": ":catthumbsup:",
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"id": 964941566772928500,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/16/2022 13:33:17",
"content": ".close",
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{
"id": 964941568677138600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 13:33:17",
"content": "Channel closed",
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}
] |
help-9
|
bc9d330e2e9e44e183930585f38d3347
|
199,412 |
[
{
"id": 964947239573274600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 13:55:49",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 964948095295168500,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 13:59:13",
"content": "I need help understanding this question.\n\nI recognize that the hardest part is figuring out the conditions and repercussions of setting the first element to something. The rest plays out exactly the same as linear arrangement.",
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"timestamp": "04/16/2022 13:59:14",
"content": "Pinned a message.",
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"id": 964951523551502300,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 14:12:51",
"content": "@Helpers",
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},
{
"id": 964955299289108600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 14:27:51",
"content": "@Salt Has your question been resolved?",
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"author_name": "Salt",
"timestamp": "04/16/2022 14:41:51",
"content": "@Qlinltiqor here",
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"timestamp": "04/16/2022 15:11:51",
"content": "@Salt Has your question been resolved?",
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"id": 964966401842503700,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 15:11:58",
"content": "@Helpers",
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},
{
"id": 964971792152293500,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 15:33:23",
"content": "@Helpers",
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},
{
"id": 964986892598788100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 16:33:23",
"content": "@Salt Has your question been resolved?",
"attachments": [],
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"id": 964992567005556900,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 16:55:56",
"content": "This is so sad @Helpers",
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},
{
"id": 964993013241741400,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "04/16/2022 16:57:43",
"content": "So you understand why it fixes A to be a certain position?",
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},
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"id": 965009143293419600,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 18:01:48",
"content": "yeah I somewhat get what the question is doing now",
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"id": 965009217805246500,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 18:02:06",
"content": "for circular arrangements I literally just set element1 to whatever I want",
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},
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"id": 965009245575729200,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 18:02:13",
"content": "then roll with that for the rest of the question",
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},
{
"id": 965009341985988700,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 18:02:36",
"content": "idk however if that will work for all of these types of questions",
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"id": 965039542312763400,
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"timestamp": "04/16/2022 20:02:36",
"content": "@Salt Has your question been resolved?",
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"id": 965049103245516900,
"author_id": 349718773441232900,
"author_name": "Salt",
"timestamp": "04/16/2022 20:40:35",
"content": ".close",
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},
{
"id": 965049104633856000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 20:40:36",
"content": "Channel closed",
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}
] |
help-9
|
ab81affb1b9a4cb9a28fba36885bb197
|
199,413 |
[
{
"id": 965049357747511300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 20:41:36",
"content": "Available help channel!",
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"reference": null
},
{
"id": 965058328529096800,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:17:15",
"content": "Does anyone mind helping with a hw problem?",
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},
{
"id": 965058330949210100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 21:17:16",
"content": "Pinned a message.",
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"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:17:32",
"content": "Functions!",
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},
{
"id": 965058546637086700,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:18:07",
"content": "๐(๐ฅ^2+2)=? given that f(๐ฅ)=2|๐ฅโ4|",
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},
{
"id": 965058870256992300,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:19:24",
"content": "2|x^2+2-4|",
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},
{
"id": 965059005028368400,
"author_id": 706179635414827000,
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"timestamp": "04/16/2022 21:19:56",
"content": "2(x^2+6)",
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},
{
"id": 965059086662115500,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:20:16",
"content": "Is this process correct?",
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},
{
"id": 965059192870273200,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:20:41",
"content": "@Helpers",
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},
{
"id": 965060929035325400,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 21:27:35",
"content": "@Helpers",
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},
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"id": 965064704991051800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 21:42:35",
"content": "@meowwwwww Has your question been resolved?",
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"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 21:49:59",
"content": "2-4=-2 the rest seems right",
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"id": 965070783980400600,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:06:45",
"content": "do you think you could help further @ArtyLeAardvark",
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"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 22:07:07",
"content": "depends what on",
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"id": 965071382385926100,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:09:07",
"content": "Can you rewrite it, please",
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"id": 965071399616147500,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:09:11",
"content": "I'm very confused",
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},
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"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 22:10:09",
"content": "2|x^2-2|",
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"timestamp": "04/16/2022 22:11:07",
"content": "ok, understood that",
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"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:11:25",
"content": "does this then become 2x^2-4?",
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},
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"id": 965072006359961700,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 22:11:36",
"content": "No",
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},
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"id": 965072118079422500,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 22:12:03",
"content": "the absolute value |-x|=x",
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"id": 965072240993505300,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 22:12:32",
"content": "but you can't just remove it",
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},
{
"id": 965072353237291000,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:12:59",
"content": "2(x^2+2)?",
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},
{
"id": 965072451136524300,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/16/2022 22:13:22",
"content": "since |x^2-2| is not the same as x^2+2",
"attachments": [],
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},
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"id": 965072520359333900,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:13:39",
"content": "hmmmm",
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"id": 965077732448948200,
"author_id": 178716199989936130,
"author_name": "dackid",
"timestamp": "04/16/2022 22:34:21",
"content": "Just leave it as 2|x^2-2|",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 22:44:21",
"content": "@meowwwwww Has your question been resolved?",
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"author_name": "meowwwwww",
"timestamp": "04/16/2022 22:52:03",
"content": "@dackid that would be the answer?",
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"author_name": "dackid",
"timestamp": "04/16/2022 22:54:47",
"content": "Yes it would. The value you get if you take it out of the absolute value completely depends on what x is",
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"timestamp": "04/16/2022 23:14:21",
"content": "Channel closed",
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}
] |
help-9
|
11bbe2bdf7814e0aad3066dc9dd9f5a9
|
199,414 |
[
{
"id": 965088054878543900,
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"author_name": "Mathematics Bot",
"timestamp": "04/16/2022 23:15:22",
"content": "Available help channel!",
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},
{
"id": 965089374217846800,
"author_id": 711848476945940500,
"author_name": "LazyBot",
"timestamp": "04/16/2022 23:20:37",
"content": "can somone explain it to me HOW R^m*n is same as R^mn??",
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"timestamp": "04/16/2022 23:20:37",
"content": "Pinned a message.",
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"timestamp": "04/16/2022 23:35:37",
"content": "@LazyBot Has your question been resolved?",
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{
"id": 965099177702994000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/16/2022 23:59:34",
"content": "They are technically not",
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},
{
"id": 965099361577099400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/17/2022 00:00:18",
"content": "They are saying \"treat them the same\" and then providing justification for why such an action makes sense.",
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},
{
"id": 965099613218562000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/17/2022 00:01:18",
"content": "They are not the same, but they are isomorphic, which essentially means \"the same structure, as far as linear algebra is concerned\" @LazyBot",
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"timestamp": "04/17/2022 00:02:10",
"content": "can I get a resouce from where I can understand this concept completely?? like youtube video",
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"author_name": "Kaynex",
"timestamp": "04/17/2022 00:03:51",
"content": "Give \"isomorphism vector spaces\" a quick Google see if you get anything good. Feel free to ask any questions if you're still unsure.",
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},
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"id": 965105502516302000,
"author_id": 711848476945940500,
"author_name": "LazyBot",
"timestamp": "04/17/2022 00:24:42",
"content": ".close",
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},
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"id": 965105504701513700,
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"timestamp": "04/17/2022 00:24:43",
"content": "Channel closed",
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}
] |
help-9
|
c4d5ab3de92049998504342fa4aa5464
|
199,415 |
[
{
"id": 965184343926517900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/17/2022 05:37:59",
"content": "Available help channel!",
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},
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"id": 965195710054162400,
"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:23:09",
"content": "If i differentiate y=x.tan(theta) with respect to theta than whats my derivative?",
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"content": "Pinned a message.",
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"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:23:24",
"content": "My book says x/cos^2 (theta) but any calculator gives me a log",
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"id": 965196832831602700,
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"author_name": "ramonov",
"timestamp": "04/17/2022 06:27:37",
"content": "what calc are you using",
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"id": 965197255458062300,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:29:18",
"content": "The calculator gave me tan(x) + x * sec^2(x)",
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"id": 965197294704164900,
"author_id": 825402355168051200,
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"timestamp": "04/17/2022 06:29:27",
"content": "Not a log",
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},
{
"id": 965197810251231400,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "04/17/2022 06:31:30",
"content": "That's the derivative of xtan(x) wrt x, which is not what the question asks",
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},
{
"id": 965197944737398800,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:32:02",
"content": "Oh",
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},
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"id": 965197964844875800,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:32:07",
"content": "Just realized mb",
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},
{
"id": 965198184693514200,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:32:59",
"content": "x*sec^2(theta) ya",
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},
{
"id": 965198194134888400,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:33:01",
"content": "No logs",
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},
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"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:37:29",
"content": "Online integral calculators",
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"author_name": "theguy",
"timestamp": "04/17/2022 06:37:40",
"content": "Integrals?!?!",
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"timestamp": "04/17/2022 06:37:43",
"content": "Or derivatives",
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"id": 965199435854381000,
"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:37:58",
"content": "Derivative* whoops",
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"id": 965199473225650200,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:38:06",
"content": "Oh",
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},
{
"id": 965199477742903300,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:38:08",
"content": "Umm",
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},
{
"id": 965199586354425900,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:38:33",
"content": "https://www.derivative-calculator.net/",
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},
{
"id": 965199605975375900,
"author_id": 825402355168051200,
"author_name": "theguy",
"timestamp": "04/17/2022 06:38:38",
"content": "Did u use this one",
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},
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"id": 965199934716510200,
"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:39:56",
"content": "",
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"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:40:01",
"content": "Heres some context",
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},
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"id": 965200403853631500,
"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:41:48",
"content": "Oh yeah ty",
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"id": 965200451224096800,
"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:42:00",
"content": "The derivative is xsec(theta)^2",
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},
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"id": 965200483604119600,
"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:42:07",
"content": "Which is 1/cos^2(theta)",
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ุงู",
"timestamp": "04/17/2022 06:42:24",
"content": "I just now realised ive been integrating the whole time, i rly need more sleep haha",
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"timestamp": "04/17/2022 06:42:27",
"content": "The book is correct I don't have a doubt tho",
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ุงู",
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"content": "Lmfao",
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ุงู",
"timestamp": "04/17/2022 06:42:45",
"content": "Well thanks for the help",
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},
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"author_id": 215090636192350200,
"author_name": "ูุนู
ุงู",
"timestamp": "04/17/2022 06:42:57",
"content": ".close",
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"id": 965200692279128000,
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] |
help-9
|
2484200d71134ed0aea111e2ddf70749
|
199,416 |
[
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"timestamp": "04/17/2022 06:43:57",
"content": "Available help channel!",
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},
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}
] |
help-9
|
d75d6e9b4c804a45b623e6daca3765e9
|
199,417 |
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{
"id": 965214394948677600,
"author_id": 901453463437840500,
"author_name": "Asmit",
"timestamp": "04/17/2022 07:37:24",
"content": "",
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"id": 965214551962423400,
"author_id": 901453463437840500,
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"timestamp": "04/17/2022 07:38:02",
"content": "what method do i use here to simplify",
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"id": 965214612221997200,
"author_id": 901453463437840500,
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"content": "shall i cross multiply?",
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"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "04/17/2022 07:39:05",
"content": "yea",
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"content": "Available help channel!",
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},
{
"id": 965217173863817200,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:48:27",
"content": "What is the conversion of Kelvin to Fahrenheit? Make it understandable please, I just wanna know it for programming.",
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"id": 965217175256322000,
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"timestamp": "04/17/2022 07:48:27",
"content": "Pinned a message.",
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"id": 965218030156132400,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:51:51",
"content": "Also the conversion of Kelvin to Celcius.",
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},
{
"id": 965218359933276200,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:53:09",
"content": "Ping me once you reply, thanks.",
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},
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"id": 965218518134059000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:53:47",
"content": "you can find these conversions with a simple search",
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"id": 965218576044789800,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:54:01",
"content": "Yeah but a lot of them are different",
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},
{
"id": 965218599927181300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:54:07",
"content": "different how",
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{
"id": 965218630713356400,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:54:14",
"content": "idk just different",
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"id": 965218638720299100,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:54:16",
"content": "but",
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"id": 965218690138255400,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:54:28",
"content": "can someone just tell me the conversion without any complicated stuff",
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"id": 965218713047543800,
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"author_name": "LightDev",
"timestamp": "04/17/2022 07:54:34",
"content": "like what is even times 9/5",
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"author_name": "ramonov",
"timestamp": "04/17/2022 07:54:45",
"content": "just different how?",
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"id": 965218888562409500,
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"author_name": "LightDev",
"timestamp": "04/17/2022 07:55:15",
"content": "ok tell me what's times 9/5",
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"id": 965218928429240300,
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"timestamp": "04/17/2022 07:55:25",
"content": "multiply by 9/5",
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"id": 965218948230561800,
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"author_name": "LightDev",
"timestamp": "04/17/2022 07:55:30",
"content": "what",
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"id": 965218970993057800,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:55:35",
"content": "so 9 divided by 5",
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"id": 965219002110574700,
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"author_name": "ramonov",
"timestamp": "04/17/2022 07:55:43",
"content": "times is synonymous with multiply by",
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},
{
"id": 965219080359514100,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:01",
"content": "how am i supposed to implement this shit in my code ๐ญ",
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},
{
"id": 965219094800515100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:56:05",
"content": "and 9/5 represents 9 being divided by 5",
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{
"id": 965219121916698600,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:11",
"content": "oh ok ez",
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"id": 965219149796229200,
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"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:18",
"content": "but",
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},
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"id": 965219151209705500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:56:18",
"content": "using the equivalent symbols",
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"id": 965219175142412400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:56:24",
"content": "* for multiplication",
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"id": 965219187607867500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:56:27",
"content": "and / for division",
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"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:29",
"content": "",
"attachments": [
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"id": 965219208109621400,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:32",
"content": "correct?",
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{
"id": 965219223821512700,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:35",
"content": "the conversion math",
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},
{
"id": 965219252690895000,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:56:42",
"content": "* is multiplying",
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"id": 965219408240857200,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:57:19",
"content": "can i make the 9/5 1.8?",
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{
"id": 965219433654132700,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:57:25",
"content": "cause it equals 1.8",
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},
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"id": 965219440520220700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:57:27",
"content": "if you want",
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{
"id": 965219450213236700,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:57:29",
"content": "oke",
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},
{
"id": 965219468693348400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:57:34",
"content": "but 9/5 is more recognisable",
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},
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"id": 965219627691044900,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:58:12",
"content": "i mean the computer does the calculation cause im coding it to do that",
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},
{
"id": 965219712873168900,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:58:32",
"content": "but does 1.8 affect the conversion in a bad way?",
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},
{
"id": 965219732015972400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:58:37",
"content": "nope",
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},
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"id": 965219734016634900,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:58:37",
"content": "thats what I want to knoe",
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},
{
"id": 965219743936155600,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:58:39",
"content": "oke ty",
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},
{
"id": 965219785791123500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:58:49",
"content": "9/5 = 1.8\nso there isn't an issue",
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},
{
"id": 965219808847233000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 07:58:55",
"content": "its more aesthetics",
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},
{
"id": 965220075600764900,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 07:59:58",
"content": "oke mm thanks a lot",
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},
{
"id": 965220088682786800,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 08:00:02",
"content": "changed my life",
"attachments": [],
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"reference": null
},
{
"id": 965220099629928400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/17/2022 08:00:04",
"content": "and what you'd be more comfortable with and/or think the person reading it (if any) would rather see",
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},
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"id": 965220166579392500,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 08:00:20",
"content": "well yeah",
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},
{
"id": 965220181632753800,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 08:00:24",
"content": "so uhh yes bye",
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},
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"id": 965220194316345300,
"author_id": 822918458974928900,
"author_name": "LightDev",
"timestamp": "04/17/2022 08:00:27",
"content": ".close",
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"id": 965220196006637600,
"author_id": 805217272087838700,
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"timestamp": "04/17/2022 08:00:27",
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] |
help-9
|
f60d9543a6c14e88a200f2e4c0f78da1
|
199,418 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/17/2022 08:14:57",
"content": "Available help channel!",
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},
{
"id": 965232294967271400,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "04/17/2022 08:48:32",
"content": "what are the zeroes of $$\nx^2 - 2 root 5x + 3 $$",
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"content": "Pinned a message.",
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"timestamp": "04/17/2022 08:50:12",
"content": "**Axiom**",
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"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "04/17/2022 08:53:55",
"content": "use quadratic formula I guess",
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"author_name": "Peacemaker II",
"timestamp": "04/17/2022 08:54:07",
"content": "or maybe there's a better way, I'm not sure",
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"id": 965234458619969700,
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"author_name": "R31_",
"timestamp": "04/17/2022 08:57:08",
"content": "is it $2\\sqrt{5x}$ or $2\\sqrt{5}x$",
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"id": 965234468329762800,
"author_id": 510789298321096700,
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"timestamp": "04/17/2022 08:57:10",
"content": "**R31\\_**",
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"timestamp": "04/17/2022 08:57:51",
"content": "the 2nd one",
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"timestamp": "04/17/2022 08:58:04",
"content": "yea, then use the quadratic formula",
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"timestamp": "04/17/2022 08:58:10",
"content": "i tried",
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"timestamp": "04/17/2022 08:58:21",
"content": "couldnt get to the ans",
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"content": "what did you get",
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"content": "stuck in the 2nd step",
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"content": "Show your working",
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"content": "what do you mean by step?",
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"content": "i tried to find the zeroes by factorization",
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"content": "so",
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"content": "tried splitting",
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"content": "Not a great idea",
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"content": "Use the quadratic formula",
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"content": "do you know the quadratic formula",
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"content": "no",
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"content": "is it for school",
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"content": "are you trying to prove it",
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"content": "yes",
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"content": "you sure the teacher hasn't taught you the quadratic formula?",
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"content": "nope",
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"content": "if not, then complete the square i guess",
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"content": "Yeah",
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"timestamp": "04/17/2022 09:02:01",
"content": "Or just learn the formula and get ahead itโs easier tbh",
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"timestamp": "04/17/2022 09:02:04",
"content": "$x = \\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}$",
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"timestamp": "04/17/2022 09:02:06",
"content": "**dk.dkn**",
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"timestamp": "04/17/2022 09:02:24",
"content": "For $ax^2+bx+c=0$",
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"content": "**dk.dkn**",
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"content": "the result is basically from completing the square",
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"content": "so your teacher will teach it soon anyways",
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"content": "I would find it hard to believe you havenโt learnt either this or completing the square for this problem",
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"content": "so im to substitute the values and find the ans?",
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"content": "Yep",
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"content": "do you have to show your work for it though",
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"content": "if you do, then your teacher probably wants completing the square",
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"content": "I mean the formula is perfectly valid",
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"content": "If you just show it",
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"timestamp": "04/17/2022 09:04:18",
"content": "since you havent learned the formula yet",
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"content": "was just trying to solve some extra qns for practice, so no",
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"content": "ah",
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"content": "Yea so why not learn the most efficient method",
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"content": "then memorize the formula then you're good",
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"content": "so this formula is basically used to find the zeroes?",
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"content": "is it?",
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"content": "of quadratics, yes",
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"content": "Yeah",
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"content": "If you know about completing the square you could look up the proof",
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"content": "Itโs basically just a rearrangement",
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"content": "ohh ok",
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"content": "will play around with it",
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"content": "thanks a lottt for helping! @dk.dkn @R31_",
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"content": ".close",
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help-9
|
15eaabf1972e4ec6bad0380f9dcbdf95
|
199,419 |
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help-9
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82d3fe2c0ecc4b689dfbb0b0406fb70d
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199,420 |
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"content": "Hello, I have to find if a vector CD go tought a triangle ABB', currently I've said that if CD go tought the triangle, that mean that it exist (K,L,M) real and over 0 (and M under 1) such as $K\\vec{AB} +L\\vec{AB'} -M\\vec{CD} = \\vec{AC}$\nby the way if K or L or M is negative, that means that CD doesn't crosses the triangle, but I miss a condition, the case of the vector CD' on the picture below, if someone could help me it would be nice (I already solved K L M parameters depending on x, y ,z coordinates of AC, CD, AB, AB' by solving the system)\nI tried to define a parallelogram with K and L are over 1 but it's not a triangle",
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"content": "@desasteur Has your question been resolved?",
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"content": "@desasteur Has your question been resolved?",
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"content": "help",
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"content": "@Helpers",
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"content": "@desasteur Has your question been resolved?",
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"content": "tell me if I don't explain well my problem, ty",
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"timestamp": "04/17/2022 14:44:47",
"content": "@desasteur Has your question been resolved?",
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] |
help-9
|
c6d3990401cb4212a262fefa4bb6090d
|
199,421 |
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"id": 956140516024672300,
"author_id": 312131838388863000,
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"content": "how would I find the half life for 13b? Not really sure how to find/estimate it",
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"content": "@Yato Has your question been resolved?",
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"content": "@Yato Has your question been resolved?",
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help-9
|
e8fb161db7b043968784ffa88ab0b160
|
199,422 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 06:12:50",
"content": "Available help channel!",
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"author_name": "DrWhoIsWho",
"timestamp": "04/18/2022 06:28:27",
"content": "How do I do question 17 V? I was thinking A divided by B given A union B, but there wouldn't be an intersection to use..",
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"content": "Question is P((A\\B)|(AuB)), idk what A\\B is though",
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"content": "can't u send a screenshot ?",
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"author_name": "! LonelySoul",
"timestamp": "04/18/2022 06:53:18",
"content": "cuz it's not clear",
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"author_name": "DrWhoIsWho",
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"timestamp": "04/18/2022 06:59:47",
"content": "X is 0.1 and Y is 0.2",
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"timestamp": "04/18/2022 07:00:03",
"content": "ok",
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"id": 965567397589299200,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:00:06",
"content": "just a sec",
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"id": 965567646428966900,
"author_id": 712856315474739200,
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"timestamp": "04/18/2022 07:01:06",
"content": "No problem, thanks",
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"id": 965567770962042900,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:01:35",
"content": "oh sed",
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"id": 965567791614791800,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:01:40",
"content": "i-",
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"id": 965567823025954800,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:01:48",
"content": "i actually do not know too",
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"id": 965567837823455200,
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"timestamp": "04/18/2022 07:01:51",
"content": "i tried",
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"id": 965567882299834400,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:02:02",
"content": "but couldn't",
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"id": 965567893544779800,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:02:05",
"content": "sorry man",
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"author_name": "DrWhoIsWho",
"timestamp": "04/18/2022 07:02:34",
"content": "No problem, it's all good, thanks anyways, tis a little confusing",
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"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:02:44",
"content": "btw",
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"id": 965568088986767400,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:02:51",
"content": "which grade question is it ?",
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"id": 965568131978391600,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:03:02",
"content": "u university ?",
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"id": 965568143613374500,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:03:04",
"content": "or school ?",
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"id": 965568196235108500,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:03:17",
"content": "just curious ๐
",
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"author_name": "DrWhoIsWho",
"timestamp": "04/18/2022 07:06:13",
"content": "It's a school question, not university, lol, I had a look around and it's the only question with a \\ though",
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"id": 965569001440829400,
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"timestamp": "04/18/2022 07:06:29",
"content": "k",
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"id": 965574753828077600,
"author_id": 835870099013238800,
"author_name": "Vijay",
"timestamp": "04/18/2022 07:29:20",
"content": "It is difference- also written as A-B\nIt means the set of elements : such that the elements belong to A but not to B",
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"timestamp": "04/18/2022 07:32:12",
"content": "Ohhhhhh, so would the answer just be 0.13 for A\\B?",
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"timestamp": "04/18/2022 07:32:35",
"content": "Yeah",
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"timestamp": "04/18/2022 07:33:14",
"content": "Ohhhhh, that makes sense, I'll try it, thank you ๐",
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"timestamp": "04/18/2022 07:33:33",
"content": ":happy:",
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"timestamp": "04/18/2022 07:33:46",
"content": ".close",
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"id": 965575871178096600,
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help-9
|
43e2d5f2daec4f84b411a384172c6a5e
|
199,423 |
[
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"id": 965580396454608900,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 07:51:46",
"content": "very easy question\nSo if yuou have say\n(1+cosx) (sinx)\nand you have\n1+cosx (sinx)",
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"content": "Pinned a message.",
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"id": 965580417967194100,
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"author_name": "MรSSES",
"timestamp": "04/18/2022 07:51:51",
"content": "whats the answer to each:??",
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"id": 965580493657604200,
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"author_name": "MรSSES",
"timestamp": "04/18/2022 07:52:09",
"content": "also yes between the 1 + cosx and the sinx theres multiplicaiton",
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"id": 965580688764076000,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 07:52:55",
"content": "doees the sinx still get distributed over 1 and cosx when theres no Parentheses",
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"id": 965580797958557700,
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"timestamp": "04/18/2022 07:53:21",
"content": "are they both equal to sinx +sinxcosx?",
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"timestamp": "04/18/2022 07:56:58",
"content": "when there's no parenthesis",
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"timestamp": "04/18/2022 07:57:00",
"content": "no",
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"id": 965581724937490600,
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"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:57:02",
"content": "ig",
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},
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"id": 965581876150562800,
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"author_name": "MรSSES",
"timestamp": "04/18/2022 07:57:38",
"content": "so what 1 + cosxsinx?",
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"timestamp": "04/18/2022 07:57:57",
"content": "yes",
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"timestamp": "04/18/2022 07:57:59",
"content": "ig",
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},
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"id": 965581970694365200,
"author_id": 956564421617000400,
"author_name": "[-1]^2=1",
"timestamp": "04/18/2022 07:58:01",
"content": "hmm",
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"id": 965581995121979400,
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"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:58:07",
"content": "not very sure",
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"id": 965582037991960700,
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"timestamp": "04/18/2022 07:58:17",
"content": "@Helpers",
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},
{
"id": 965582094912860300,
"author_id": 956564421617000400,
"author_name": "[-1]^2=1",
"timestamp": "04/18/2022 07:58:31",
"content": "all are equal",
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},
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"id": 965582188483592300,
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"timestamp": "04/18/2022 07:58:53",
"content": "dont brother this is not vectors @MรSSES",
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"id": 965582216178593800,
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"timestamp": "04/18/2022 07:58:59",
"content": "what",
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"id": 965582263616143400,
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"timestamp": "04/18/2022 07:59:11",
"content": "wait",
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"author_id": 956564421617000400,
"author_name": "[-1]^2=1",
"timestamp": "04/18/2022 07:59:13",
"content": "๐ฟ",
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"id": 965582291659259900,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:59:17",
"content": "dude",
"attachments": [],
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"id": 965582318586695700,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:59:24",
"content": "when there;s no parenthesis",
"attachments": [],
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},
{
"id": 965582389483040800,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:59:41",
"content": "it will not be equal to the case where there's parenthesis",
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"author_id": 956564421617000400,
"author_name": "[-1]^2=1",
"timestamp": "04/18/2022 07:59:43",
"content": "(1+cosx)sinx=sinx+sinxcosx and 1+cosx(sinx)=1+cosxsinx",
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"id": 965582430201315300,
"author_id": 956564421617000400,
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"timestamp": "04/18/2022 07:59:51",
"content": "i read it fast",
"attachments": [],
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"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 07:59:56",
"content": "that's what i said lamo",
"attachments": [],
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"author_name": "[-1]^2=1",
"timestamp": "04/18/2022 08:00:15",
"content": "they are not equal",
"attachments": [],
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"id": 965582658400813000,
"author_id": 917799892833927200,
"author_name": "! LonelySoul",
"timestamp": "04/18/2022 08:00:45",
"content": "yeah",
"attachments": [],
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{
"id": 965582867679830000,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:35",
"content": "but",
"attachments": [],
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},
{
"id": 965582889213395000,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:40",
"content": "if + works either way",
"attachments": [],
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},
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"id": 965582891142770700,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:40",
"content": "so",
"attachments": [],
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},
{
"id": 965582907366326300,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:44",
"content": "1 + cosx",
"attachments": [],
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},
{
"id": 965582911069892700,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:45",
"content": "and",
"attachments": [],
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},
{
"id": 965582924462305400,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:48",
"content": "cosx+1",
"attachments": [],
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},
{
"id": 965582931030597600,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:50",
"content": "are the same",
"attachments": [],
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},
{
"id": 965582967533629600,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:01:59",
"content": "it makes no sense for it not be distributed either way",
"attachments": [],
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"reference": null
},
{
"id": 965583121049329700,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:02:35",
"content": "since theortically you can argue either way and say sinxcosx+1 and cosx + sinx are the same",
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},
{
"id": 965583131803516900,
"author_id": 887094639620919300,
"author_name": "MรSSES",
"timestamp": "04/18/2022 08:02:38",
"content": "which they are not",
"attachments": [],
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},
{
"id": 965586907679576000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 08:17:38",
"content": "@MรSSES Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 08:21:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
2e8bcc6780ea40efb4b329ad63136c71
|
199,424 |
[
{
"id": 965601474052784100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 09:15:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 965602221687443500,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:18:29",
"content": "cant figure out how to do this pigeon hole and i think im overthinking it\nlets say you have 12 nations and they all participate in a tournament where they have to go thru a sea voyage\nwhat would be the minimum amount of passengers s.t. one of these houses will send 5 people\nim guessing your P would be setup as all of the houses\nbut what would be the H\n\ni know its 16 passengers but i dont know how to get there with pigeonhole principle",
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},
{
"id": 965602223797198800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 09:18:30",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 965602605302710300,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:20:01",
"content": "how do you know it's 16?",
"attachments": [],
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},
{
"id": 965602637464625200,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:20:08",
"content": "11 send 1 passenger",
"attachments": [],
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},
{
"id": 965602650240462800,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:20:11",
"content": "the 12th sends 5",
"attachments": [],
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},
{
"id": 965602664798888000,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:20:15",
"content": "can't the first 8 send 1 and the last 4 send 2?",
"attachments": [],
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},
{
"id": 965602665969111000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:20:15",
"content": "thats the absolute minimum",
"attachments": [],
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},
{
"id": 965602773913722900,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:20:41",
"content": "no because we need the min amount of passengers needed s.t. one of the houses sends at least 5 people",
"attachments": [],
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},
{
"id": 965602795199799400,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:20:46",
"content": "only one has to send 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965602836404641800,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:20:56",
"content": "yeah but we don't guarantee that any of the houses must send at least 5 people",
"attachments": [],
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},
{
"id": 965602926871597000,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:21:17",
"content": "the usual way this question is asked is the min P such that no matter how the nations send, at least one of them must send at least 5",
"attachments": [],
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},
{
"id": 965603001261760600,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:21:35",
"content": "```\nAt least how many passengers must this ship carry to guarantee that at least one of the\ntwelve houses will send at least five contestants?\n```",
"attachments": [],
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},
{
"id": 965603168354467800,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:22:15",
"content": "im unsure, to me it just sounds like the absolute minimum that one sends at least 5",
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},
{
"id": 965604511550963700,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:27:35",
"content": "Think of it as a game between you and say, Alice. You are to state a number P. Alice will send a total of P participants from the 12 nations.\n\nYou win if Alice is forced to send 5 participants from the same nation. Alice wins otherwise.",
"attachments": [],
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},
{
"id": 965604564827013100,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:27:48",
"content": "How do you win?",
"attachments": [],
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},
{
"id": 965606295216468100,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:34:40",
"content": "so the P is the unknown here",
"attachments": [],
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},
{
"id": 965606342171689000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:34:52",
"content": "or the n i should say",
"attachments": [],
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},
{
"id": 965606417950212100,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:35:10",
"content": "H would be one house sending 5 contestants?",
"attachments": [],
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},
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"id": 965606461428367400,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:35:20",
"content": "@Element118",
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"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:36:19",
"content": "so there are pigeons and holes right, what is the P you selected?",
"attachments": [],
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},
{
"id": 965606742899699700,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "04/18/2022 09:36:27",
"content": "H would be all the houses/nations",
"attachments": [],
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},
{
"id": 965607058261033000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:37:42",
"content": "originally i thought P would be all the twelve houses",
"attachments": [],
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},
{
"id": 965607095791665200,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:37:51",
"content": "and then H is how many they need to send which is 5",
"attachments": [],
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},
{
"id": 965607139789910000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:38:02",
"content": "but only one needs to send 5",
"attachments": [],
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},
{
"id": 965607151152296000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:38:04",
"content": "which is where i get confused",
"attachments": [],
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},
{
"id": 965607877555417100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:40:58",
"content": "they want the number to guarantee that a house sent at least 5\n(without any knowledge of how many each individual house sent)",
"attachments": [],
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},
{
"id": 965608044975251500,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:41:38",
"content": "we're looking for the total amount of passengers sent though",
"attachments": [],
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},
{
"id": 965608098028994600,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:41:50",
"content": "i just dont see how i can apply this with the principle though",
"attachments": [],
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},
{
"id": 965608125132591100,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:41:57",
"content": "how would we set up the P and H",
"attachments": [],
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},
{
"id": 965608200760074200,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:42:15",
"content": "would P be the unknown?",
"attachments": [],
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},
{
"id": 965608206741160000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:42:16",
"content": "consider the worst case scenario",
"attachments": [],
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},
{
"id": 965608217814138900,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:42:19",
"content": "because we need to find the n",
"attachments": [],
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},
{
"id": 965608282750333000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:42:34",
"content": "worse case would be 12 * 5",
"attachments": [],
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},
{
"id": 965608288123252700,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:42:36",
"content": "all send at least 5",
"attachments": [],
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},
{
"id": 965608313477812200,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:42:42",
"content": "no?",
"attachments": [],
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},
{
"id": 965608432130478200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:43:10",
"content": "as in how many could be sent such that no house sends 5",
"attachments": [],
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},
{
"id": 965608467903709300,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:43:18",
"content": "12",
"attachments": [],
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},
{
"id": 965608521272008800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:43:31",
"content": "*the maximum that could be sent",
"attachments": [],
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},
{
"id": 965608522249281500,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:43:31",
"content": "would that be the P?",
"attachments": [],
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},
{
"id": 965608557263351900,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:43:40",
"content": "12 * 4 in that case then",
"attachments": [],
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},
{
"id": 965608568084652000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:43:42",
"content": "yes",
"attachments": [],
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},
{
"id": 965608747751858200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:44:25",
"content": "and from pidgeon,",
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},
{
"id": 965608910566326300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:45:04",
"content": "1 extra passenger would mean that one house sent 5 in that case",
"attachments": [],
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},
{
"id": 965609053411750000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:45:38",
"content": "49",
"attachments": [],
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},
{
"id": 965609154863575000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:46:02",
"content": "i can see how that works",
"attachments": [],
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},
{
"id": 965609221125177500,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:46:18",
"content": "i just dont see how i could formulate that with the pigeonhole principle",
"attachments": [],
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},
{
"id": 965609264867582000,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:46:28",
"content": "because its N(P) > k * N(H) right",
"attachments": [],
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},
{
"id": 965609283792285800,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:46:33",
"content": "where we find k + 1",
"attachments": [],
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},
{
"id": 965611516965564400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:55:25",
"content": "the holes are the nations (which there are 12 of)",
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},
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"id": 965611759304052700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:56:23",
"content": "you want at least one nation to send at least k+1 = 5 (passengers/pigeons)โ k = 4",
"attachments": [],
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},
{
"id": 965612182492557300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:58:04",
"content": "N(P) > 4 * 12\nN(P) > 48",
"attachments": [],
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},
{
"id": 965612254743658500,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:58:21",
"content": "ahhhhh",
"attachments": [],
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},
{
"id": 965612259097317400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/18/2022 09:58:22",
"content": "and for the mininimum it'd just be\nN(P) = 48 + 1",
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"id": 965612260506607600,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 09:58:23",
"content": "i see!!!!!!!!!",
"attachments": [],
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},
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"id": 965614817375305900,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 10:08:32",
"content": "thank you ramonov ๐",
"attachments": [],
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"reference": null
},
{
"id": 965614905002713200,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 10:08:53",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 965614925588332500,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/18/2022 10:08:58",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 965614927043784700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 10:08:58",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ca479b940a9048b3b03b1c421419f726
|
199,425 |
[
{
"id": 965615180216156200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 10:09:59",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965617551700815900,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/18/2022 10:19:24",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 10:19:25",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 965617551700815900,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 965617634131464200,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/18/2022 10:19:44",
"content": "guys how do i proceed i factorised it like (x-2)(x^2-2x+1)e^x",
"attachments": [],
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},
{
"id": 965618474250551300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/18/2022 10:23:04",
"content": "apply linearity",
"attachments": [],
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},
{
"id": 965618501396082800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/18/2022 10:23:11",
"content": "then for some ibp",
"attachments": [],
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},
{
"id": 965619480401170400,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/18/2022 10:27:04",
"content": "linearity?",
"attachments": [],
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"nickname": "Fucktalogist",
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{
"id": 965619682457575400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/18/2022 10:27:52",
"content": "yeah",
"attachments": [],
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},
{
"id": 965619738485076000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/18/2022 10:28:06",
"content": "integral of 2x+4 is integral of 2x + integral of 4",
"attachments": [],
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},
{
"id": 965619748849188900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/18/2022 10:28:08",
"content": "for example",
"attachments": [],
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},
{
"id": 965619978218905700,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/18/2022 10:29:03",
"content": "ahhhh ok ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965620036234522600,
"author_id": 757534788667310100,
"author_name": "iron man",
"timestamp": "04/18/2022 10:29:16",
"content": "thanks!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965622029443268700,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/18/2022 10:37:12",
"content": "You can do this but also if you know ibp this shouldnโt be too bad",
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"id": 965622056693674000,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/18/2022 10:37:18",
"content": "(Integration by parts)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965623812513222800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 10:44:17",
"content": "@iron man Has your question been resolved?",
"attachments": [],
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"id": 965627587688804400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 10:59:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
cd1a609e4e094c4995c71205feb6bdbb
|
199,426 |
[
{
"id": 965627841947525100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 11:00:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965639726180737000,
"author_id": 108140847190523900,
"author_name": "cashlo",
"timestamp": "04/18/2022 11:47:31",
"content": "I am trying to do the CAD for a Acute Golden Rhombohedron, and I want to find the formular for the face to face height of it if it is lying down",
"attachments": [],
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"reference": null
},
{
"id": 965639728173023400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 11:47:31",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 965639726180737000,
"channelId": 486844875632017400,
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{
"id": 965639856329986000,
"author_id": 108140847190523900,
"author_name": "cashlo",
"timestamp": "04/18/2022 11:48:02",
"content": "and the angle it makes to the \"ground\"",
"attachments": [],
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},
{
"id": 965640027352756200,
"author_id": 108140847190523900,
"author_name": "cashlo",
"timestamp": "04/18/2022 11:48:43",
"content": "I am following the sizes here https://mathworld.wolfram.com/GoldenRhombus.html",
"attachments": [],
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},
{
"id": 965641053250154500,
"author_id": 108140847190523900,
"author_name": "cashlo",
"timestamp": "04/18/2022 11:52:47",
"content": "I know the tip is the tip of a triangular pyramid",
"attachments": [],
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"reference": null
},
{
"id": 965644828924866600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 12:07:48",
"content": "@cashlo Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "cashlo",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 12:37:54",
"content": "@cashlo Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 108140847190523900,
"name": "cashlo",
"discriminator": "6370",
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{
"id": 965660099991466000,
"author_id": 108140847190523900,
"author_name": "cashlo",
"timestamp": "04/18/2022 13:08:28",
"content": "Using the formula for the volume and area I have work out the height to be aโ(5(10+2โ5))/10 and I can find the X offset with Pythagoras' theorem. But I would appreciate it if someone can tell me how to work this out without \"cheating\"",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 14:08:29",
"content": "@cashlo Has your question been resolved?",
"attachments": [],
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{
"id": 108140847190523900,
"name": "cashlo",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 15:08:29",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
9c1c4ec843d646c0a2c00ce7ceae5032
|
199,427 |
[
{
"id": 965690553339641900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 15:09:29",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965692161108627600,
"author_id": 830476889617334300,
"author_name": "AceSpace",
"timestamp": "04/18/2022 15:15:52",
"content": "Hey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965692163159630000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 15:15:53",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 965692161108627600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 965692269149708300,
"author_id": 830476889617334300,
"author_name": "AceSpace",
"timestamp": "04/18/2022 15:16:18",
"content": "Uh i Need help with this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965692552676274300,
"author_id": 830476889617334300,
"author_name": "AceSpace",
"timestamp": "04/18/2022 15:17:26",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/965692551749328937/IMG_3575.png",
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"id": 965696328732672000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 15:32:26",
"content": "@AceSpace Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 830476889617334300,
"name": "AceSpace",
"discriminator": "0968",
"nickname": "AceSpace",
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{
"id": 965696863275733000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/18/2022 15:34:33",
"content": "so, you can divide (total amount of cement required/ amount of cement in one bag) to get the number of bags required.\nSo, like you get in case of cement, 180/25 = 7.2. \nSo he requires at least 8 bags of cement. \nYou can do this for sand and stone. \nAnd then by looking at the bags he already has, you can see what he needs to buy",
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{
"id": 965697399530090600,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "04/18/2022 15:36:41",
"content": "do you understand now",
"attachments": [],
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},
{
"id": 965697427665465500,
"author_id": 830476889617334300,
"author_name": "AceSpace",
"timestamp": "04/18/2022 15:36:48",
"content": "I think so",
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},
{
"id": 965697439157878800,
"author_id": 830476889617334300,
"author_name": "AceSpace",
"timestamp": "04/18/2022 15:36:51",
"content": "Thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 965704989966213200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 16:06:51",
"content": "@AceSpace Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 830476889617334300,
"name": "AceSpace",
"discriminator": "0968",
"nickname": "AceSpace",
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{
"id": 965712540162211800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 16:36:51",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
9d127b0949454d0a9f5e830a79cc043b
|
199,428 |
[
{
"id": 965764116990005400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 20:01:48",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 965768396727787500,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:18:48",
"content": "",
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"id": 965768398397124600,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:18:49",
"content": "This problem asked that I solve the inequality",
"attachments": [],
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},
{
"id": 965768399026266100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 20:18:49",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 965768399286317000,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:18:49",
"content": "I think everything is correct...I'm just iffy about my notation",
"attachments": [],
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},
{
"id": 965770637111083000,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:27:43",
"content": "would it instead be (-inf., -4) U [3, infm)?",
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},
{
"id": 965771466366914600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 20:31:00",
"content": "yes, as it's undefined at x=-4",
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},
{
"id": 965771524277694500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 20:31:14",
"content": "(assuming the rest of your work is correct)",
"attachments": [],
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},
{
"id": 965771882362196000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:32:39",
"content": "The sign chart is wrong.",
"attachments": [],
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"reference": null
},
{
"id": 965772005041385600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:33:09",
"content": "Every time you cross one of the zeroes, the sign will change because exactly one of the x ยฑ n things will change signs.",
"attachments": [],
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},
{
"id": 965772152802541600,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:33:44",
"content": "for the sign, do you mean > or <",
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},
{
"id": 965772161887375500,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:33:46",
"content": "?",
"attachments": [],
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},
{
"id": 965772322407596200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:34:24",
"content": "Like when it passes -4, only x + 4 changes sign. When it passes 2, only x - 2 changes sign. When it passes 3, only x - 3 changes sign.\n\nSince only one changes sign, the whole thing changes sign.",
"attachments": [],
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},
{
"id": 965772500564869100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:35:07",
"content": "I mean this chart:",
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"id": 965772606609432600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:35:32",
"content": "The quick way to figure out the signs is to try x = -5.",
"attachments": [],
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},
{
"id": 965772645931036700,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:35:41",
"content": "yes, I did that",
"attachments": [],
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},
{
"id": 965772672300646400,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:35:48",
"content": "which gives me +",
"attachments": [],
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},
{
"id": 965772721420116000,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:35:59",
"content": "and then I did 0 for -4 and 2",
"attachments": [],
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},
{
"id": 965772735408128000,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:36:03",
"content": "which gave me -",
"attachments": [],
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},
{
"id": 965772744627195900,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:36:05",
"content": "and so on",
"attachments": [],
"mentions": [],
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},
{
"id": 965772838957109200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:36:27",
"content": "(x - 2)(x - 3)/(x + 4)\n(-5 - 2)(-5 - 3)/(-5 + 4)\n(-7)(-8)/(-1)\n3 negatives together is negative.",
"attachments": [],
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"reference": null
},
{
"id": 965772904392429600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:36:43",
"content": "56/-1 = -56",
"attachments": [],
"mentions": [],
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},
{
"id": 965773024253063200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:37:12",
"content": "Does it make sense why x = -5 makes it negative?",
"attachments": [],
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},
{
"id": 965773372518711400,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:38:35",
"content": "yes",
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{
"id": 965773554157248600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:39:18",
"content": "And when it goes above -4, only the bottom changes sign.",
"attachments": [],
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{
"id": 965773614735585400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:39:32",
"content": "- ร - / + is +",
"attachments": [],
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{
"id": 965773700274208800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:39:53",
"content": "And when it goes above 2, only the first factor on top changes sign.",
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{
"id": 965773762475745300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:40:08",
"content": "+ ร - / + = -",
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{
"id": 965773812299862000,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:40:20",
"content": "ok...so my entire answer is wrong?",
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{
"id": 965773823402180700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:40:22",
"content": "And when it goes above 3, only the second factor on top changes sign.",
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{
"id": 965773924040339500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:40:46",
"content": "Yeah, but you were right if your sign chart was right.",
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{
"id": 965774002922610700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:41:05",
"content": "If you correct that, you'll see the correct intervals.",
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"id": 965774080408166400,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:41:23",
"content": "(-inf., -4) U [3, infm)?",
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{
"id": 965774195046875100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:41:51",
"content": "Yes, that's wrong because your sign chart is wrong.",
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{
"id": 965774292421865500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:42:14",
"content": "The way sign charts work is that you look at all the x - whatevers.",
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{
"id": 965774330250272800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:42:23",
"content": "When it passes each whatever, it changes sign.",
"attachments": [],
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{
"id": 965774378421874700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:42:35",
"content": "So, for x + 4, it changes sign at -4.",
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{
"id": 965774414824239100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:42:43",
"content": "For x - 2, it changes sign at 2.",
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},
{
"id": 965774439096647800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:42:49",
"content": "For x - 3, it changes sign at 3.",
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},
{
"id": 965774481526247400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:42:59",
"content": "And then you just need to know the starting sign on the far left.",
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{
"id": 965774530809307300,
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"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:43:11",
"content": "So, you pick a number like -5 in that and see what you get.",
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{
"id": 965774579970744400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:43:23",
"content": "And I got negative for that one.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:43:43",
"content": "(x - 2)(x - 3)/(x + 4)\n(-5 - 2)(-5 - 3)/(-5 + 4)\n(-7)(-8)/(-1)\n3 negatives together is negative.\n\n56/-1\n-56",
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{
"id": 965774706286411800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:43:53",
"content": "So, -5 is in the far left interval.",
"attachments": [],
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},
{
"id": 965774730546282500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:43:58",
"content": "So, the far left interval is negative.",
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{
"id": 965774753749143700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:44:04",
"content": "Then, the next interval is positive.",
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{
"id": 965774766667616400,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:44:07",
"content": "yeah...I think my approach to solving this problem is different",
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{
"id": 965774905587159200,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:44:40",
"content": "If I use my concept for a question my professor solved, I still get it right",
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{
"id": 965774953305735200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:44:52",
"content": "Yeah, but it doesn't work for this problem.",
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"timestamp": "04/18/2022 20:47:01",
"content": "",
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"timestamp": "04/18/2022 20:47:29",
"content": "is this what you want me to use?",
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{
"id": 965775912178159600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:48:40",
"content": "Yes, that sort of method.",
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{
"id": 965775958655266800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:48:51",
"content": "Notice how the very last row has -, +, -, +.",
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{
"id": 965775973243056300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:48:55",
"content": "Each time, it changes sign.",
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{
"id": 965776067841364000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:49:17",
"content": "Then, you go below -3, like x = -4 and find its sign.",
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"id": 965776270287851600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:50:06",
"content": "(x + 3)(x + 1)/(x - 1)\n(-4 + 3)(-4 + 1)/(-4 - 1)\n(-1)(-3)/(-5)\n3/-5\n-3/5",
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{
"id": 965776341637161000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:50:23",
"content": "So, the far left interval is negative, then the signs alternate.",
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{
"id": 965776358435340300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:50:27",
"content": "Does that make sense?",
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{
"id": 965776398495129600,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:50:36",
"content": "yes, but this method is more complicated for me",
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{
"id": 965776425217044500,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:50:43",
"content": "I rather see the number line",
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{
"id": 965776459404812300,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:50:51",
"content": "like literally see it",
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{
"id": 965776466673541200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:50:52",
"content": "You can do that, too.",
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{
"id": 965776483643711600,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:50:56",
"content": "which is why I drew it out",
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"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:51:05",
"content": "so for -3",
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{
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"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:51:11",
"content": "anything less-->-4",
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{
"id": 965776656440655900,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:51:38",
"content": "hold on",
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{
"id": 965776674543243300,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:51:42",
"content": "let me write this out",
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{
"id": 965776711436361700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:51:51",
"content": "OK.",
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"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:53:00",
"content": "",
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"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:53:23",
"content": "No, the top will be +",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:53:41",
"content": "(-5 - 3)(-5 - 2) = (-8)(-7) = +56",
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"id": 965777196562133000,
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"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:53:46",
"content": "A simpler way is this.",
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"id": 965777223271473200,
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"timestamp": "04/18/2022 20:53:53",
"content": "My mistake",
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{
"id": 965777271036198900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:54:04",
"content": "Write the three things.",
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"id": 965777291449868300,
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"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:54:09",
"content": "So then it's negative, which would not work",
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"id": 965777301537181700,
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"author_name": "meowwwwww",
"timestamp": "04/18/2022 20:54:11",
"content": "OK",
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"id": 965777382130741200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:54:31",
"content": "(x - 3)\n(x - 2)\n(x + 4)",
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{
"id": 965777426028318800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:54:41",
"content": "On the far left of any of them, all of them are negative.",
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"id": 965777647072321500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:55:34",
"content": "(x - 3): -\n(x - 2): -\n(x + 4): -",
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{
"id": 965777677816574000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:55:41",
"content": "And an odd number of negatives is negative.",
"attachments": [],
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{
"id": 965777723727413200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:55:52",
"content": "So, it starts out on the far left as a negative.",
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{
"id": 965777757994889200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:56:00",
"content": "Then, it passes -4 on the number line.",
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{
"id": 965777782036627600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:56:06",
"content": "And it changes sign.",
"attachments": [],
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{
"id": 965777826953457700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:56:17",
"content": "Then, it passes 2 on the number line.",
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{
"id": 965777839133704300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:56:20",
"content": "And it changes sign.",
"attachments": [],
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},
{
"id": 965777861988454400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:56:25",
"content": "Then, it passes 3 on the number line.",
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{
"id": 965777874961436700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:56:28",
"content": "And it changes sign.",
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"id": 965778468170252400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:58:50",
"content": "So, you should have:```\n - + - +\n-----+----------+------+------\n -4 2 3\n```",
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"id": 965778491796771000,
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"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:58:55",
"content": "Does that make sense?",
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"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 20:59:37",
"content": "@meowwwwww",
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"id": 965778795451801700,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 21:00:08",
"content": "Yes, I see my mistake",
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"id": 965778825222979700,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 21:00:15",
"content": "At -4",
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"author_name": "meowwwwww",
"timestamp": "04/18/2022 21:00:57",
"content": "(-4, 2] U [3, infinity)",
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"id": 965779201460404200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:01:44",
"content": "Almost.",
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{
"id": 965779242908528800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:01:54",
"content": "Since it's > this time, you can't include the zeroes.",
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{
"id": 965779301431648400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:02:08",
"content": "So, (-4, 2) โ (3, โ).",
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{
"id": 965779393693761500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:02:30",
"content": "Exactly at one of those zeroes, the function is either zero or undefined.",
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"id": 965779433921335300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:02:40",
"content": "And we want > 0, so not 0 itself.",
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"content": "@meowwwwww Do you want a simpler way?",
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"content": "OK, so factor the top.",
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"content": "Is this for practice or for a test?",
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"content": "For a test",
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"content": "Oh no",
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"content": "This is practice",
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"content": "But I'm studying for an exam",
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"content": "So practice problems",
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"content": "Oh, OK.",
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"content": "This is not the exam",
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"content": "Sorry",
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"content": "OK, so factor the top.",
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"content": "Then, there's a simple way.",
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"content": "Count the linear factors. There will be 3. 3 is odd, so the sign chart starts off -. If it was even, the sign chart starts of +.",
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"content": "Then, it alternates when each factor is zero.",
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"content": "Wait",
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"content": "Hold on",
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"content": "We left off on the notion",
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"content": "Right",
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"content": "What do you mean?",
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"content": "You said my notation was wrong",
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"content": "No, the signs on your number line chart were the wrong signs.",
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"content": "What is the answer...I'm very confused now",
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"content": "OK, so factor the top.",
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"content": "(x-3)(x-2)",
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"content": "So, (x - 3)(x - 2)/(x + 4)",
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"timestamp": "04/18/2022 21:10:15",
"content": "And they're all x ยฑ something.",
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"content": "And there are three of them.",
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"content": "Three is odd, so the far left interval is negative. If it was even, the left interval would be positive.",
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"timestamp": "04/18/2022 21:11:38",
"content": "So, it's negative, then -4, then positive, then 2, then negative, then 3, then positive.",
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"timestamp": "04/18/2022 21:13:24",
"content": "The problem includes zero",
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"timestamp": "04/18/2022 21:13:36",
"content": "How so?",
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"timestamp": "04/18/2022 21:14:54",
"content": "You mean the โฅ 0?",
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"content": "Yesssa",
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"timestamp": "04/18/2022 21:15:14",
"content": "Oh, yeah, that's handled in that chart.",
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"content": "The zeroes are the things you subtract from x on the top.",
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"timestamp": "04/18/2022 21:16:15",
"content": "So, 2 and 3 are zeroes.",
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"timestamp": "04/18/2022 21:16:37",
"content": "-4 isn't because 0 on the bottom makes the whole thing undefined rather than 0.",
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"timestamp": "04/18/2022 21:17:39",
"content": "Does my method make sense?",
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"timestamp": "04/18/2022 21:20:19",
"content": "Yes.",
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"timestamp": "04/18/2022 21:20:25",
"content": "So what's the correct answer?",
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"timestamp": "04/18/2022 21:20:35",
"content": "Well, let's go through it.",
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"timestamp": "04/18/2022 21:20:39",
"content": "First, draw a number line.",
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"content": "Then, mark the places on it that are subtracted from x.",
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"timestamp": "04/18/2022 21:21:16",
"content": "Then, count the factors and see if the count is odd or even.",
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"timestamp": "04/18/2022 21:21:29",
"content": "If it's odd, the far left interval is negative. If even, positive.",
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"timestamp": "04/18/2022 21:21:43",
"content": "Then, you alternate signs every time you pass one of the zeroes you marked.",
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"timestamp": "04/18/2022 21:22:32",
"content": "This number is correct?",
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"timestamp": "04/18/2022 21:22:44",
"content": "Which number?",
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"timestamp": "04/18/2022 21:22:58",
"content": "That chart is correct.",
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"timestamp": "04/18/2022 21:23:37",
"content": "okay.",
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"timestamp": "04/18/2022 21:24:08",
"content": "then this is the answer",
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"timestamp": "04/18/2022 21:24:18",
"content": "I don't understand why you keep saying it's wrong",
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"timestamp": "04/18/2022 21:24:25",
"content": "Right.",
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"timestamp": "04/18/2022 21:25:20",
"content": "okay, sorry",
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"timestamp": "04/18/2022 21:25:26",
"content": "thank you.",
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"timestamp": "04/18/2022 21:25:27",
"content": "I meant this was wrong. It's different from your answer now.",
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"timestamp": "04/18/2022 21:25:36",
"content": "No problem.",
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"timestamp": "04/18/2022 21:25:41",
"content": "There's one tricky part.",
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"timestamp": "04/18/2022 21:25:54",
"content": "If a factor appears multiple times, that's something called multiplicity.",
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"timestamp": "04/18/2022 21:26:02",
"content": "Like (x - 2)(x - 2)/(x + 4).",
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"timestamp": "04/18/2022 21:26:16",
"content": "When it passes 2, it changes signs twice because it's passing two factors.",
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"timestamp": "04/18/2022 21:26:31",
"content": "If there were 10 copies of (x - 2), it would change sign 10 times.",
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"timestamp": "04/18/2022 21:26:59",
"content": "An even number of changes leaves the sign the same.",
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"timestamp": "04/18/2022 21:27:06",
"content": "An odd number leaves the sign different.",
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"timestamp": "04/18/2022 21:27:17",
"content": "So, that's how to handle multiplicity.",
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"timestamp": "04/18/2022 21:27:45",
"content": "Does that make sense?",
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"timestamp": "04/18/2022 21:27:53",
"content": "yes!",
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"timestamp": "04/18/2022 21:27:55",
"content": "๐",
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"timestamp": "04/18/2022 21:28:10",
"content": "OK, and this only works when you have a positive coefficient for x on each factor.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:28:15",
"content": "If it's negative, bring that out front.",
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},
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"id": 965785957985038500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:28:35",
"content": "(-3x + 4)(x + 2) = -(3x - 4)(x + 2)",
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"id": 965786015396671500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:28:49",
"content": "That's two factors and a negative sign.",
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},
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"id": 965786052608549000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:28:58",
"content": "So, even is positive, then the negative changes it to negative.",
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"id": 965786537356828800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:30:53",
"content": "Or, a shorter way is to just not count the negative coefficient factors. Count only the positive coefficient ones.",
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},
{
"id": 965786608353816600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:31:10",
"content": "So, that would have one factor with a positive x coefficient, which is odd, which means negative.",
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},
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"id": 965786697797369900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:31:32",
"content": "Yeah, that's probably easier.",
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},
{
"id": 965787062500458500,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 21:32:59",
"content": "ahhhh",
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},
{
"id": 965787072491290600,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 21:33:01",
"content": "i seee",
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},
{
"id": 965787079583879200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/18/2022 21:33:03",
"content": "1. Factor it.\n2. Count the factors with a positive x coefficient.\n3. If that count is even, the far left interval is positive. If odd, then it's negative.\n4. Each time you pass a factor on the number line, change the sign. If you have multiple copies of a factor, you change the sign that many times.",
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"id": 965787774978502700,
"author_id": 706179635414827000,
"author_name": "meowwwwww",
"timestamp": "04/18/2022 21:35:49",
"content": "very helpful!",
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},
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"id": 965791550833590400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 21:50:49",
"content": "@meowwwwww Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 21:51:50",
"content": "Channel closed",
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}
] |
help-9
|
f01a7fb07aa84f84bc76bbda804a6c47
|
199,429 |
[
{
"id": 965796751422398500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 22:11:29",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 965800325237866500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:25:41",
"content": "how do i write the general statement for all x-int of sin(x)",
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},
{
"id": 965800327486001200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 22:25:41",
"content": "Pinned a message.",
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"id": 965800605077622900,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:26:47",
"content": "wdym",
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},
{
"id": 965800643619070000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:26:57",
"content": "like",
"attachments": [],
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},
{
"id": 965800684140253200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:27:06",
"content": "whats the x-int for sin(x)",
"attachments": [],
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},
{
"id": 965800733205200900,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:27:18",
"content": "x-int?",
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},
{
"id": 965800748896124900,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:27:22",
"content": "integral wrt x?",
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},
{
"id": 965800756605235200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:27:24",
"content": "x-intercept",
"attachments": [],
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},
{
"id": 965800870136647700,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:27:51",
"content": "so you mean for the graph y=sin(x)",
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},
{
"id": 965800885357793400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:27:54",
"content": "yes",
"attachments": [],
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},
{
"id": 965800897374470100,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:27:57",
"content": "you want the roots?",
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},
{
"id": 965800911035326500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:28:00",
"content": "yes",
"attachments": [],
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},
{
"id": 965800941142036500,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:28:08",
"content": "n*pi",
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},
{
"id": 965800965045354600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:28:13",
"content": "y tho",
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},
{
"id": 965801044900712600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:28:32",
"content": "isnt the period 2pi so shouldnt it be n * 2pi",
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},
{
"id": 965801154095239200,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:28:58",
"content": "yes but they are not all",
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},
{
"id": 965801165042372700,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:29:01",
"content": "there are more",
"attachments": [],
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},
{
"id": 965801231094280200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:29:17",
"content": "so then how do you figure it out without looking at the graph",
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},
{
"id": 965801252464263200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:29:22",
"content": "or do you have to look at the graph",
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},
{
"id": 965801338296484000,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:29:42",
"content": "i mean how are you defining sin?",
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},
{
"id": 965801450955497500,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:30:09",
"content": "like if you look at it from the unit circle its obvious",
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},
{
"id": 965801547101515900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:30:32",
"content": "how",
"attachments": [],
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},
{
"id": 965801589807915000,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:30:42",
"content": "at pi rad the y projection is zero",
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},
{
"id": 965801649962623000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:30:57",
"content": "o i think i g et it now",
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},
{
"id": 965801653515190300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/18/2022 22:30:57",
"content": "thanskss",
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},
{
"id": 965801736818290700,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/18/2022 22:31:17",
"content": "np",
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"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 22:45:58",
"content": "@Deleted User Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 23:00:58",
"content": "Channel closed",
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}
] |
help-9
|
b1edd13c49294470b33082065646db2b
|
199,430 |
[
{
"id": 965809458288685000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 23:01:58",
"content": "Available help channel!",
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},
{
"id": 965810026151297200,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:04:14",
"content": "the function\nf(x) = 7\n\nand \ng(x) = 7x^0\n\naren't equal right?",
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{
"id": 965810028227493900,
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"timestamp": "04/18/2022 23:04:14",
"content": "Pinned a message.",
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"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:04:40",
"content": "because 7x^0 isn't defined at x = 0",
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"id": 965810541606084600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:06:17",
"content": "0^0 is generally 1",
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{
"id": 965810744618790900,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:07:05",
"content": "b^0 = b^(1-1) = b/b = 1, right?",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:07:19",
"content": "then we'll have\n0^0 = 0^(1-1) = 0/0 = 1",
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"id": 965811064379965400,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:08:21",
"content": "so 7 = 7x^0, xโ 0 then?",
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"id": 965811270546755600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:09:10",
"content": "x can be zero",
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"id": 965811282076905500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:09:13",
"content": ".",
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{
"id": 965811354298638300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:09:30",
"content": "the graph of y=7x^0 is the same as the graph of y=7",
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"id": 965811449538678900,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:09:53",
"content": "so we're defining 0^0=1?",
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"id": 965811467184128000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:09:57",
"content": "yes",
"attachments": [],
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"id": 965811490378612700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:10:03",
"content": "though that's not always true",
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"id": 965811506518310900,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:10:07",
"content": "just generally",
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"id": 965811763885006800,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:11:08",
"content": "and 0^0 = 0(1-1) = 0/0... so we're defining 0/0 = 1 then?",
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"id": 965811844294008800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:11:27",
"content": "no",
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{
"id": 965811862967038100,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:11:32",
"content": "0^0 is an indeterminate form, as is 0/0",
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"id": 965811919778902000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:11:45",
"content": "it's just that we generally define 0^0 to be equal to 1",
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{
"id": 965811951341015000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:11:53",
"content": "though *technically* it is undefined",
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"id": 965812130353938400,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:12:35",
"content": "so if we take it to be undefined, then 7 = 7x^0, unless xโ 0?",
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"id": 965812243113590800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:13:02",
"content": "sure, but in algebra, you don't take 0^0 to be undefined",
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{
"id": 965812250269061100,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:13:04",
"content": "you take it to be 1",
"attachments": [],
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},
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"id": 965812827711496200,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:15:22",
"content": "so if we take 0^0 to be 1, then does that mean we're taking 0/0 to be 1 too in algebra?",
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"id": 965812885672566800,
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"timestamp": "04/18/2022 23:15:35",
"content": "no",
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"id": 965812921189937300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:15:44",
"content": "0/0 is indeterminate, as is 0^0",
"attachments": [],
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"id": 965812965318230000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:15:54",
"content": "it's just that generally, in algebra, you take 0^0 to be 1",
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"id": 965813002530066400,
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"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:16:03",
"content": "i am only talking specifically about 0^0",
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"id": 965813267396194300,
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:17:06",
"content": "yeah but isn't 0^0 = 0/0 too?",
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"id": 965813299126079500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:17:14",
"content": "no",
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{
"id": 965813337667563500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:17:23",
"content": "they're *indeterminate*",
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"id": 965813492298960900,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:18:00",
"content": "a^0 is defined as a/a = 1 right?",
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"author_name": "Zybikron",
"timestamp": "04/18/2022 23:18:22",
"content": "technically they are not equal. What disappointing son is saying is that since x^0 =1 for all non-zero x, we fill in the removable discontinuity by just defining 0^0=1 and simplifying a lot of things. (especially in things like series)\nThis does not extend to other functions. And sometimes it's convenient to define it as something else.",
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"timestamp": "04/18/2022 23:18:40",
"content": "In your example, division by 0 is not defined for anything. So there is no motivation to define 0/0 = 1.",
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"timestamp": "04/18/2022 23:19:30",
"content": "0/0 is every number",
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"timestamp": "04/18/2022 23:20:35",
"content": "yeah but i thought since 0^0 = 0/0 and we're defining 0^0 to be 1, then we're also defining 0/0 to also be 1",
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"timestamp": "04/18/2022 23:21:28",
"content": "those two things are indeterminate,",
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"timestamp": "04/18/2022 23:21:47",
"content": "setting them equal is.... questionable",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:21:58",
"content": "i see, so why do ppl say that the constant term has a degree of zero if it's not define at 0?",
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"timestamp": "04/18/2022 23:22:03",
"content": "Solve the equation 0x=0",
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"timestamp": "04/18/2022 23:22:15",
"content": "What values of x satisfy",
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"timestamp": "04/18/2022 23:22:17",
"content": "yeah 0/0 can be any number",
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"timestamp": "04/18/2022 23:22:25",
"content": "all of them?",
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"timestamp": "04/18/2022 23:22:30",
"content": "like all numbers",
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"timestamp": "04/18/2022 23:22:31",
"content": "Yes",
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"author_name": "Zybikron",
"timestamp": "04/18/2022 23:23:32",
"content": "convenience. Polynomials have positive integer degrees on all things except the constant. Since 7 = 7 x^0, basically everywhere, they just define 0^0 = 1 to fill in the hole and move on",
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"timestamp": "04/18/2022 23:24:55",
"content": "i see... so is it because 0^0 is technically undefined, we don't write x^0 on the constant term?",
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"timestamp": "04/18/2022 23:25:26",
"content": "for polynomial formulas we do have to let 0^0 = 1",
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"author_name": "a disappointing son",
"timestamp": "04/18/2022 23:25:30",
"content": "we don't write it because x^0 = 1 for any x",
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"author_name": "EndTimes",
"timestamp": "04/18/2022 23:26:25",
"content": "in discrete contexts (exact 0, as an integer, instead of a limit tending 0) 0^0 is always 1",
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"timestamp": "04/18/2022 23:26:36",
"content": "so the definition of 0^0 is context dependent?",
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"timestamp": "04/18/2022 23:26:41",
"content": "yeah",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:27:10",
"content": "and 0^0 isn't the same as 0/0?",
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"timestamp": "04/18/2022 23:27:21",
"content": "not at all",
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"author_name": "Zybikron",
"timestamp": "04/18/2022 23:28:09",
"content": "again, setting two indeterminate things equal is, at best, questionable. They can each take on any value.",
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"timestamp": "04/18/2022 23:28:45",
"content": "In the context of polynomials, it's convenient to just define 0^0 = 1, so we do.",
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"author_name": "Zybikron",
"timestamp": "04/18/2022 23:28:57",
"content": "(in many cases, I'm sure there are cases where this causes problems)",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:30:23",
"content": "sorry but i don't really understand when you mean 'questionable'",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:30:36",
"content": "like it might be or might not be true?",
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"timestamp": "04/18/2022 23:30:43",
"content": "yes",
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"author_name": "Zybikron",
"timestamp": "04/18/2022 23:30:56",
"content": "they are both indeterminate, so they can both be any number. There's no reason for them to be equal",
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"timestamp": "04/18/2022 23:32:34",
"content": "i thought because of the definition of zero'th power, we have a^0 = a/a for any a",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:32:58",
"content": "so 0^0 is an indeterminate, we can't use that definition?",
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"author_name": "Zybikron",
"timestamp": "04/18/2022 23:34:38",
"content": "and the rule you're trying to use to show they are equal is specifically only defined for non-zero bases because otherwise you end up in the precise situation your in",
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"timestamp": "04/18/2022 23:35:18",
"content": "oh",
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"timestamp": "04/18/2022 23:36:08",
"content": "",
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"timestamp": "04/18/2022 23:37:08",
"content": "0^0 is defined as 1 (in polynomials) but 0^0โ 0/0, then?",
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"author_id": 334482942506041340,
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"timestamp": "04/18/2022 23:37:18",
"content": "correct",
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"id": 965818558565199900,
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"timestamp": "04/18/2022 23:38:08",
"content": "cool",
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"author_name": "studyinglatte",
"timestamp": "04/18/2022 23:38:13",
"content": "thanks a lot y'all",
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{
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"author_id": 896245007533629400,
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"timestamp": "04/18/2022 23:38:19",
"content": ".close",
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},
{
"id": 965818607311413200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 23:38:20",
"content": "Channel closed",
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}
] |
help-9
|
67444aaa76fd4ad988cd26dce9f80b48
|
199,431 |
[
{
"id": 965818860588654600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 23:39:20",
"content": "Available help channel!",
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},
{
"id": 965820752802758700,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:46:51",
"content": "Hi there! The answer I got for this is 2^(1/2) which are none of the options.\nDid I miss a crucial step here?",
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"timestamp": "04/18/2022 23:46:51",
"content": "Pinned a message.",
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"id": 965820895824322600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/18/2022 23:47:25",
"content": "What shape is a cake?",
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},
{
"id": 965820961830084600,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:47:41",
"content": "It doesn't matter",
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"timestamp": "04/18/2022 23:47:50",
"content": "It really does.",
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},
{
"id": 965821009615810600,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:47:52",
"content": "They just want you to increase the volume with the diameter",
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},
{
"id": 965821068998766600,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:48:06",
"content": "Everything stays the same except the diameter and volume",
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{
"id": 965821110472048800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/18/2022 23:48:16",
"content": "Different shapes scale up differently",
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},
{
"id": 965821156580028500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/18/2022 23:48:27",
"content": "first assume a spherical cake",
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},
{
"id": 965821220312461400,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:48:43",
"content": "kk since diameter is mentioned",
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},
{
"id": 965821523942338600,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "04/18/2022 23:49:55",
"content": "justify this? in terms of volume it grows proportional to x^3",
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"id": 965821806520971300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/18/2022 23:51:02",
"content": "Not always",
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{
"id": 965821819821117400,
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"timestamp": "04/18/2022 23:51:05",
"content": "Consider a cone",
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{
"id": 965821892575502300,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "04/18/2022 23:51:23",
"content": "i think always",
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},
{
"id": 965821948280045600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/18/2022 23:51:36",
"content": "You guys are splitting hairs.",
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},
{
"id": 965821969121554400,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "04/18/2022 23:51:41",
"content": "consider the cube x^3 that encloses the cone",
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},
{
"id": 965821971290005500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/18/2022 23:51:42",
"content": "Just stick with kana's question",
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},
{
"id": 965821990013399000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/18/2022 23:51:46",
"content": "Argue in another channel",
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},
{
"id": 965822678508372000,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:54:30",
"content": "OMG you are right!",
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"timestamp": "04/18/2022 23:54:35",
"content": "The shape is spherical",
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"id": 965822706375340000,
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"timestamp": "04/18/2022 23:54:37",
"content": "I got E",
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},
{
"id": 965822717674815500,
"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:54:40",
"content": "Thank you so much!",
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},
{
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"author_id": 559304421121720300,
"author_name": "Kana",
"timestamp": "04/18/2022 23:54:44",
"content": ".close",
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},
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/18/2022 23:54:44",
"content": "Channel closed",
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}
] |
help-9
|
cf143e267de847de9f0e51a64a5a0d32
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"content": "how to mark root 2 on the number line?",
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"author_name": "Eggsy",
"timestamp": "03/23/2022 08:43:45",
"content": "pls",
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"author_name": "ramonov",
"timestamp": "03/23/2022 08:44:52",
"content": "consider constructing a right triangle\nand note that 1^2 + 1^2 = (sqrt(2))^2",
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"content": "ok..",
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"content": "using a compass, you'd be able to mark that value on the number line",
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"content": "@Eggsy Has your question been resolved?",
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help-9
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d0691f4c567b48e9b949944500082b4f
|
199,433 |
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"timestamp": "04/18/2022 23:55:38",
"content": "the answer doesnt depend on shape @EndTimes",
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"timestamp": "04/18/2022 23:56:38",
"content": "i think thats a pretty neat fact",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/18/2022 23:59:29",
"content": "Look up the formula for a cone, it's not proportional to r^3",
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help-9
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d8ab8a57ff1b402a95f96d7ab7c781b5
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199,434 |
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"id": 965824152818819100,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "04/19/2022 00:00:22",
"content": ",w volume of cone formula",
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"id": 965824167607947300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/19/2022 00:00:25",
"content": "Results provided by WolframAlpha",
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"content": "h is proportional to r",
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"content": "No",
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"id": 965824380603080700,
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"timestamp": "04/19/2022 00:01:16",
"content": "no?",
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"id": 965824396088467500,
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"author_name": "EndTimes",
"timestamp": "04/19/2022 00:01:20",
"content": "They're different measurements haha",
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"id": 965824445392519200,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "04/19/2022 00:01:31",
"content": "im talking about uniform scale of the cone",
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"id": 965824670169440400,
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"author_name": "DETOX",
"timestamp": "04/19/2022 00:02:25",
"content": "this is implied in the q",
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"id": 965824725001592800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/19/2022 00:02:38",
"content": "we are considering two cakes that are SCALE MODELS of each other as clearly stated in the question",
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"id": 965824786439761900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/19/2022 00:02:53",
"content": "so a conical cake would have both its base radius and height scale by the same factor and hence be proportional",
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"author_name": "EndTimes",
"timestamp": "04/19/2022 00:02:57",
"content": "Yes then of course. If you scale the solid uniformly in all dimensions then you will get the same answer",
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"id": 965824935652122600,
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"timestamp": "04/19/2022 00:03:28",
"content": "๐",
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"timestamp": "04/19/2022 00:03:31",
"content": ".close",
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"timestamp": "04/19/2022 00:09:31",
"content": "Available help channel!",
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"id": 965828108680835100,
"author_id": 630893334927507500,
"author_name": "sai",
"timestamp": "04/19/2022 00:16:05",
"content": "how do i do this",
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"content": "Pinned a message.",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/19/2022 00:21:38",
"content": "do you know how to integrate the first few terms?",
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"content": "n=0, 1, 2, 3",
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"author_id": 630893334927507500,
"author_name": "sai",
"timestamp": "04/19/2022 00:23:08",
"content": "sort of",
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"id": 965829894938460300,
"author_id": 630893334927507500,
"author_name": "sai",
"timestamp": "04/19/2022 00:23:11",
"content": "ya",
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"id": 965829968657514500,
"author_id": 630893334927507500,
"author_name": "sai",
"timestamp": "04/19/2022 00:23:28",
"content": "u mean integrate the function from 0 to 1 1 to 2 2 to 3",
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"id": 965830377426001900,
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"timestamp": "04/19/2022 00:25:06",
"content": "integral from 0 to x",
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"timestamp": "04/19/2022 00:33:54",
"content": "so integrate from 0 to x first",
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"content": "?",
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"id": 965832784801308700,
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"timestamp": "04/19/2022 00:34:40",
"content": "correct",
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"timestamp": "04/19/2022 00:48:55",
"content": "@sai Has your question been resolved?",
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help-9
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e5614923f0734edfa8027d05b866527a
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199,435 |
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"author_id": 820781762186707000,
"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:06:39",
"content": "Can anyone please teach me how to convert this to polar",
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"timestamp": "04/19/2022 01:16:16",
"content": "why do you want polar coords",
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"content": "@moomรฅn Has your question been resolved?",
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"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:24:36",
"content": "Because what other way is ther to solve this",
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"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:24:49",
"content": "When I plugged it in integral calculator it was massive",
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"id": 965845417189331000,
"author_id": 820781762186707000,
"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:24:51",
"content": "The answer",
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"id": 965845449997168600,
"author_id": 820781762186707000,
"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:24:59",
"content": "So I am very unsure",
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"id": 965845474697433100,
"author_id": 820781762186707000,
"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:25:05",
"content": "What the right method is",
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"id": 965846568785809400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/19/2022 01:29:26",
"content": "use fubini",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/19/2022 01:29:42",
"content": "the hint is given in the question. \"iterated integral\"",
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"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:31:56",
"content": "Is fubiniโs method changing bounds from x to y?",
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"id": 965848274563133400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/19/2022 01:36:13",
"content": "https://tutorial.math.lamar.edu/classes/calciii/IteratedIntegrals.aspx",
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"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:40:07",
"content": "Thank you I will try that",
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"id": 965849833195847700,
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"author_name": "moomรฅn",
"timestamp": "04/19/2022 01:42:24",
"content": "Thank you it worked",
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"id": 965850190512783400,
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"timestamp": "04/19/2022 01:43:50",
"content": ":catthumbsup:",
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"timestamp": "04/19/2022 02:12:25",
"content": "@moomรฅn Has your question been resolved?",
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ae6bce79ed524d94bd9e9cc86d0634bd
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199,436 |
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"timestamp": "04/19/2022 02:43:25",
"content": "Available help channel!",
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"content": "how do you prove this identity?",
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"timestamp": "04/19/2022 02:58:05",
"content": "i have used the foil method to get the left side but i dont know how to make it the right side",
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"content": "express cosec(x) in terms of sin(x) and simplify",
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"timestamp": "04/19/2022 03:01:52",
"content": "Ohh nvm I think I got it",
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"content": "So you just subtract with LCD and stuff right",
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"content": "yeah",
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"content": "wait i still don't get how to simplify the numerator",
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"content": "show your work and someone can help",
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"content": "v",
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"timestamp": "04/19/2022 03:14:44",
"content": "that would be for the numerator part",
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"content": "so i dont get how the top part of the numerator is (sin(x)-1)",
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"content": "i think you must have had an error early on",
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"timestamp": "04/19/2022 03:17:11",
"content": "start over with this suggestion",
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"timestamp": "04/19/2022 03:17:39",
"content": "yeah i subtracted the numerator",
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"timestamp": "04/19/2022 03:17:47",
"content": "which resulted in this",
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"content": ".",
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"author_name": "ablazed",
"timestamp": "04/19/2022 03:18:32",
"content": "on the beginning of the problem, i multiplied sin(x)+1/sin(x)+1 on the left side",
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"content": "i don't get what he's saying",
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"timestamp": "04/19/2022 03:20:08",
"content": "i'm assuming he meant to convert csc into 1/sin",
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"timestamp": "04/19/2022 03:20:49",
"content": "yeah but i did on the numerator",
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"content": "You did this",
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"timestamp": "04/19/2022 03:21:03",
"content": "$cosec(x) = \\frac{1}{sin(x)} \\newline$\n$1 - cosec(x) = 1 - \\frac{1}{sin(x)} = ...$\ncontinue from there (for the denominator as well)",
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"timestamp": "04/19/2022 03:21:06",
"content": "**kinglacto**",
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"timestamp": "04/19/2022 03:21:06",
"content": "Which made it overcomplicated",
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"author_name": "ablazed",
"timestamp": "04/19/2022 03:21:07",
"content": "unless i have to change csc from the beginning",
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"timestamp": "04/19/2022 03:21:36",
"content": "o",
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"timestamp": "04/19/2022 03:21:38",
"content": "Yes that's what start over means",
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"timestamp": "04/19/2022 03:22:03",
"content": "oh i thought you meant from where i stopped",
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"timestamp": "04/19/2022 03:23:23",
"content": "and also i overcomplicated things cause my teacher told us that if we had to prove an identity and both sides had a denominator of something like a binomial (sin(x)+1), we had to pick a side and multiply the opposite side to to that side to get the LCD",
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"timestamp": "04/19/2022 03:24:55",
"content": "There is no single rule for trig identities that work for all problems. Sometimes it works, sometimes it doesn't",
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"timestamp": "04/19/2022 03:25:51",
"content": "i see now",
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"timestamp": "04/19/2022 03:26:47",
"content": "uhh",
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"author_name": "ablazed",
"timestamp": "04/19/2022 03:27:08",
"content": "i started all over again and ended up with the same thing",
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"timestamp": "04/19/2022 03:32:29",
"content": "and i dont think im able to simply any further",
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"timestamp": "04/19/2022 03:42:48",
"content": "my bad the ^2 should be in front of the trig function, not the variable",
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"timestamp": "04/19/2022 03:44:00",
"content": "???",
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 03:59:00",
"content": "@ablazed Has your question been resolved?",
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"timestamp": "04/19/2022 03:59:21",
"content": "Iโm gonna sleep",
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{
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 04:01:52",
"content": "cos^2 + sin^2 = 1?",
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"timestamp": "04/19/2022 04:02:45",
"content": "Affirmative",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 04:03:13",
"content": "use that....",
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},
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"id": 965885333684224000,
"author_id": 322903967023759360,
"author_name": "ablazed",
"timestamp": "04/19/2022 04:03:28",
"content": "But then how do I get rid of the denominator sin(x)?",
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"id": 965885415007588400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 04:03:48",
"content": "how do you divide fractions?",
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"author_name": "ablazed",
"timestamp": "04/19/2022 04:05:02",
"content": "Oh",
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"id": 965885892415877100,
"author_id": 322903967023759360,
"author_name": "ablazed",
"timestamp": "04/19/2022 04:05:42",
"content": "I feel so stupid ๐คฆโโ๏ธ๐",
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},
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"id": 965885956756500500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 04:05:57",
"content": "we've all been there. it happens",
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"id": 965886147257569300,
"author_id": 322903967023759360,
"author_name": "ablazed",
"timestamp": "04/19/2022 04:06:42",
"content": "Damn this took way longer than it shouldโve, but at least I have learned something",
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"id": 965886551668195300,
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"timestamp": "04/19/2022 04:08:19",
"content": "Thanks man I can now sleep in peace",
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"id": 965886572748759000,
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"timestamp": "04/19/2022 04:08:24",
"content": ".close",
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},
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"author_id": 805217272087838700,
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"timestamp": "04/19/2022 04:08:24",
"content": "Channel closed",
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}
] |
help-9
|
32fa4cf1b8b2466395f40bb47b9e9f7c
|
199,437 |
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"timestamp": "04/19/2022 04:09:25",
"content": "Available help channel!",
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"content": "if you gave me X and y i could find tn but its the fact i have to show it to prove that'",
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"content": "Consider a generic A.P series with first term as \"a\" and common difference as \"d\"\n\nX=a+(p-1)d\nY=a+(q-1)d\n\nSo now the question asks you to find the nth term of the series in terms of X, Y, p and q",
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"author_id": 527990415786508300,
"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:28:56",
"content": "yes I got this",
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"author_id": 527990415786508300,
"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:29:03",
"content": "it just never seems to make that big thing",
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"timestamp": "04/19/2022 04:29:51",
"content": "is n d or t*1* (a)",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:31:48",
"content": "Hm,\nNth term=a+(n-1)d\n\nYou just have to find a and d from the above two equations",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:31:55",
"content": "you aren't able to do that?",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:32:04",
"content": "I mean finding d is the easiest",
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"timestamp": "04/19/2022 04:32:13",
"content": "just subtract those two equations",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:32:30",
"content": "with d in your grasp, you can also find a",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:32:43",
"content": "then plug-in both a and d in Nth term equation",
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"timestamp": "04/19/2022 04:32:48",
"content": "@Uncreeperble",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:35:19",
"content": "ive tried it and it doent end up any where near x(n-p)... DIVIDE (p-q)",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:36:05",
"content": "i feel like its not algebraic",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:36:11",
"content": "but because if there is a linear equation",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:36:26",
"content": "then we are doing something dividing by the run, p-q",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:37:12",
"content": "Subtract the equation of X and Y->\n\n(p-1)d-(q-1)d=(X-Y)\nd(p-1-q+1)=(X-Y)\nd=(X-Y)/(p-q)",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:37:50",
"content": "thats in terms of d",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:37:54",
"content": "now in terms of tn?",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:37:55",
"content": "Now for a, substitute value of d in the equation for X->\n\nYou can do at least from here?",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:38:12",
"content": "would but that for d in a dn-1?",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:38:21",
"content": "After finding a and d, substitute them in the equation of tn=a+(n-1)d",
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"timestamp": "04/19/2022 04:39:09",
"content": "tn=a+((n-1)(X-Y)/(p-q))",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:39:13",
"content": "after substituting d",
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"author_id": 917801177272430700,
"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:39:24",
"content": "only thing left is to do the same for a",
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"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 04:40:36",
"content": "I appreciate what you wrote in brackets",
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"author_name": "Uncreeperble",
"timestamp": "04/19/2022 04:41:13",
"content": "when i put in a and d and then simplify it it always gets a =a or d =d",
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"timestamp": "04/19/2022 04:43:35",
"content": "After substituting value of d in the equation of X, you get->\n\nX=a+((p-1)(X-Y)/(p-q))\n\nYou can't solve a from here now?",
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"id": 965895467026219000,
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:43:44",
"content": "Just put a on other side",
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"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:43:56",
"content": "and X on other side",
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"id": 965895523758379000,
"author_id": 917801177272430700,
"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:43:58",
"content": "and solve",
"attachments": [],
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{
"id": 965895572626235400,
"author_id": 917801177272430700,
"author_name": "Lutgardis",
"timestamp": "04/19/2022 04:44:09",
"content": "then substitute a and d value in tn equation",
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"timestamp": "04/19/2022 04:45:48",
"content": "^",
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{
"id": 965898608807387300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 04:56:13",
"content": "@Uncreeperble Has your question been resolved?",
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"timestamp": "04/19/2022 05:11:13",
"content": "Channel closed",
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}
] |
help-9
|
8361d38ce8594f93965237594363c1de
|
199,438 |
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"id": 965902638057148500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 05:12:14",
"content": "Available help channel!",
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"id": 965920210945204400,
"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:22:04",
"content": "guys",
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"id": 965920213377876000,
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"timestamp": "04/19/2022 06:22:04",
"content": "Pinned a message.",
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"id": 965920264854581200,
"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:22:17",
"content": "$a^4-b^4-2a^2b^2$",
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{
"id": 965920275260653700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/19/2022 06:22:19",
"content": "**Xerral**",
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"id": 965920302045478900,
"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:22:25",
"content": "how do I factorize it?",
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"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 06:25:35",
"content": "Are you sure it's -b^4 or +b^4?",
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"timestamp": "04/19/2022 06:25:49",
"content": "yeah its -b^4",
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"id": 965921188922687500,
"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:25:57",
"content": "that's why I can't do it",
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"id": 965921255666630800,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 06:26:13",
"content": "Interesting",
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"author_name": "Xerral",
"timestamp": "04/19/2022 06:26:15",
"content": "cuz the exercise says it can be factorized",
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"id": 965922140526346200,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 06:29:44",
"content": ",w factor a^4-b^4-2a^2b^2",
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"author_name": "TeXit",
"timestamp": "04/19/2022 06:29:46",
"content": "Results provided by WolframAlpha",
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"timestamp": "04/19/2022 06:29:55",
"content": "lol",
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"timestamp": "04/19/2022 06:29:58",
"content": "Even wolframalpha gave up ๐",
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"id": 965922219777740900,
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"author_name": "Xerral",
"timestamp": "04/19/2022 06:30:03",
"content": "LOL",
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"author_name": "Sus",
"timestamp": "04/19/2022 06:30:16",
"content": "Does your book have a answer I doubt it's correct?",
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"id": 965922316624212000,
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"timestamp": "04/19/2022 06:30:26",
"content": "well, how can I say",
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"timestamp": "04/19/2022 06:30:27",
"content": "nope",
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"timestamp": "04/19/2022 06:30:31",
"content": "Oh",
"attachments": [],
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"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:30:42",
"content": "if I do a^4-b^4?",
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"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:30:52",
"content": "but that 2a^2b^2 can't get rid of it",
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"id": 965922453257846800,
"author_id": 931398012809392100,
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"timestamp": "04/19/2022 06:30:58",
"content": "Exactly",
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"timestamp": "04/19/2022 06:39:51",
"content": "@Xerral are you allowed to have square roots of a^2-2b^2",
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"author_name": "Sus",
"timestamp": "04/19/2022 06:39:58",
"content": "Then it can be factored!",
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"id": 965925179039563800,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 06:41:48",
"content": "Tho I am pretty sure it isn't",
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"id": 965925198463389800,
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"author_name": "Sus",
"timestamp": "04/19/2022 06:41:53",
"content": ":sully:",
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"id": 965925376486408200,
"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:42:35",
"content": "wdym?",
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"author_name": "Sus",
"timestamp": "04/19/2022 06:43:21",
"content": "Like your final answer can have terms like $\\sqrt{a^2-2b^2}$",
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"timestamp": "04/19/2022 06:43:23",
"content": "**Sus**",
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"timestamp": "04/19/2022 06:43:30",
"content": "no",
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"id": 965925616220270600,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 06:43:32",
"content": "Oh",
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"id": 965925634553573400,
"author_id": 689147865972473900,
"author_name": "Xerral",
"timestamp": "04/19/2022 06:43:37",
"content": "we haven't studied it yet lol",
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"id": 965925670553276400,
"author_id": 931398012809392100,
"author_name": "Sus",
"timestamp": "04/19/2022 06:43:45",
"content": "Then I find no other way of solving it ๐",
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"timestamp": "04/19/2022 06:44:02",
"content": "ok thanks btw",
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"author_name": "Xerral",
"timestamp": "04/19/2022 06:44:05",
"content": "no worries hah",
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"author_name": "dk.dkn",
"timestamp": "04/19/2022 06:45:32",
"content": "You can have complex factorisations I guess",
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"timestamp": "04/19/2022 06:50:50",
"content": "Right",
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"timestamp": "04/19/2022 06:51:12",
"content": "@Xerral are you allowed to use complex numbers tho I am 95% sure u aren't?",
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"content": "I doubt he is they probably messed up the question",
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"content": "Maybe",
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"content": "Over the complex numbers I donโt think itโs *that* bad",
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"content": "Let x = a^2, y = b^2 and compete the square, then create a difference of two squares",
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"content": "then the factorization would have been $(a^2+(b^2)i)^2$ ig",
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"content": "**Sus**",
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"content": "I originally tried that but itโs not that simple",
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"content": "The central term is 2ia^2b^2",
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"content": "Which isnโt what we want",
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"content": "Oof",
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"content": "Could also use the quadratic formula",
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"content": "@Xerral Has your question been resolved?",
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"content": "$2a^{4}-(a^4+b^4+2a^2b^2)$",
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"content": "**newbienoob**",
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"content": "ig this should work",
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"content": "@Xerral Has your question been resolved?",
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"content": "Yo are they allowed to use C?",
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"content": "I mean numbers in C",
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"content": "complex domain u mean?",
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"content": "Yeah",
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"content": "this won't really require that",
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"timestamp": "04/19/2022 07:45:09",
"content": "for at least one factorization",
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"timestamp": "04/19/2022 07:45:17",
"content": "Can u factor this completely?",
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"timestamp": "04/19/2022 07:45:20",
"content": "Lemme check",
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"content": "only once",
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"timestamp": "04/19/2022 07:46:10",
"content": "$2a^{4}-(a^2+b^2)^{2}$",
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"content": "depends on the problem's requirements",
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"timestamp": "04/19/2022 07:46:13",
"content": "**Mrlol22**",
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"content": "Thatโs difference of squares",
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"content": "ye",
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"timestamp": "04/19/2022 07:46:40",
"content": "Yeah this wil work",
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"content": "Btw how do u write sqr root in latex",
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"content": "tho i expected something neater",
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"content": "idk",
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"content": "\\sqrt{}",
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"timestamp": "04/19/2022 07:47:15",
"content": "Ok",
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"content": "$(\\sqrt{2}a^2+a^2+b^2)(\\sqrt{2}a^2-(a^2+b^2))$",
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"timestamp": "04/19/2022 07:48:09",
"content": "$(\\sqrt{2}a^2)^{2}-(a^2+b^2)^{2}$",
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"content": "**Mrlol22**",
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"content": "yeah and this after that",
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"content": "Nope",
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"content": "Not sqrt(2) a",
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"content": "**newbienoob**",
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"content": "Oh sorry",
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"content": "Yeah a",
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"timestamp": "04/19/2022 07:48:59",
"content": "nono u were right",
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"timestamp": "04/19/2022 07:49:08",
"content": "Oh i was",
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"content": "Ok",
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"content": "this can be further factored",
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"timestamp": "04/19/2022 07:49:26",
"content": "only 2nd term",
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"timestamp": "04/19/2022 07:49:27",
"content": "Yup",
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"content": "Wait",
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"timestamp": "04/19/2022 07:49:40",
"content": "so @Xerral",
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"timestamp": "04/19/2022 07:49:45",
"content": "That would be so messy",
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"content": "Cry",
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"timestamp": "04/19/2022 07:49:55",
"content": "yeah but that's the q",
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"timestamp": "04/19/2022 07:59:23",
"content": "well thanks for ur help btw",
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"content": "np",
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] |
help-9
|
7a3e3fa5166a4172916ce71582d3e62a
|
199,439 |
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"author_name": "Waffloid",
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"content": "just a sanity check, but the derivative operator acts on $\\phi$ as well here right?",
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"content": "**Waffloid**",
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"content": "i.e. i shouldnt assume $\\frac{\\partial \\phi}{\\partial x_i} = 0$",
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"content": "**Waffloid**",
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"timestamp": "04/19/2022 08:11:25",
"content": "main reason i ask is because it asks to find $\\nabla \\cdot \\mathbf{F}$ in terms of $rho$ and $\\phi$, not mentioning derivatives but this could be implied",
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"content": "**Waffloid**",
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"timestamp": "04/19/2022 08:26:26",
"content": "@Waffloid Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "Waffloid",
"timestamp": "04/19/2022 08:54:00",
"content": "this gives me $$\\nabla \\cdot \\mathbf{F} = \\left(\\frac{\\partial \\rho}{\\partial x} \\cos \\phi + \\frac{\\partial \\rho}{\\partial y} \\sin \\phi \\right) f'(\\rho) + \\left( -\\sin \\phi \\frac{\\partial \\phi}{\\partial x} + \\cos \\phi \\frac{\\partial \\phi}{\\partial y} \\right ) f(\\rho)$$",
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"timestamp": "04/19/2022 08:54:26",
"content": "**Waffloid**",
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"timestamp": "04/19/2022 08:54:50",
"content": "https://prnt.sc/woEEebwlMmdz",
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"timestamp": "04/19/2022 08:55:07",
"content": "but then for this part of the qn, the derivatives being in there seem kinda ugly and makes me think that something is wrongheaded",
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"content": "@Waffloid Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
5029fcb69f4e43d59d7dd929d5f4a27a
|
199,440 |
[
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"timestamp": "04/19/2022 09:56:08",
"content": "Available help channel!",
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},
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"id": 965974834280538100,
"author_id": 251726894653767680,
"author_name": "shalfort",
"timestamp": "04/19/2022 09:59:07",
"content": "hello guys, \ncan anyone help me please how to normalizise this information to the third normal form. i tried mysefl but i dont really know\n\n1:\n(customer no, customer name, customer address, customer zip code, customer city, RG(arrival date, room number, departure date))\n2:\n(room name, room luxury, room persons, room included, room price, RG(room no))",
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"author_id": 762627713529282600,
"author_name": "carys",
"timestamp": "04/19/2022 10:08:00",
"content": "Bruh is this for sql? Whatโs RG?",
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"timestamp": "04/19/2022 10:14:07",
"content": "@shalfort Has your question been resolved?",
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"author_name": "shalfort",
"timestamp": "04/19/2022 10:16:11",
"content": "repeating group",
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"timestamp": "04/19/2022 10:16:29",
"content": "its database,normalization.",
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"timestamp": "04/19/2022 10:46:29",
"content": "@shalfort Has your question been resolved?",
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"content": "@shalfort Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
0386f6b54e814018a13c55354f7cc117
|
199,441 |
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"content": "Available help channel!",
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"id": 966020089029730400,
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"author_name": "Kapi",
"timestamp": "04/19/2022 12:58:57",
"content": "hey, how to proof that $3k^3 +2k$ is divisible by 3 for any kโZ?",
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"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "04/19/2022 12:59:22",
"content": "**Kapi**",
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"id": 966020293808250900,
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"author_name": "ramonov",
"timestamp": "04/19/2022 12:59:45",
"content": "but it isn't...",
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"id": 966020618468356100,
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:01:03",
"content": "hmm",
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"id": 966020625254715400,
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:01:04",
"content": "hold on",
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"id": 966020810747834400,
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:01:49",
"content": "sorry im just dumb",
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:02:05",
"content": "it should have been $k^3 +2k$",
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"id": 966020888619262100,
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"timestamp": "04/19/2022 13:02:07",
"content": "**Kapi**",
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:02:49",
"content": "now i believe it is correct",
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"author_name": "ramonov",
"timestamp": "04/19/2022 13:03:02",
"content": "you could try using induction",
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"id": 966021466678251500,
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:04:25",
"content": "yeah but it's for integers so it's a bit tricky",
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"author_name": "ramonov",
"timestamp": "04/19/2022 13:05:08",
"content": "wdym by its for intergers and how exactly does that make stuff tricky",
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"id": 966021961543217300,
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:06:23",
"content": "isn't proving by induction for k>1?",
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"timestamp": "04/19/2022 13:06:40",
"content": "i mean k>=1",
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"timestamp": "04/19/2022 13:07:04",
"content": "you can do it in both directions",
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"timestamp": "04/19/2022 13:07:23",
"content": "hmm",
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"id": 966022253403856900,
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"timestamp": "04/19/2022 13:07:33",
"content": "yeah, that's a way indeed",
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"author_name": "ramonov",
"timestamp": "04/19/2022 13:07:42",
"content": "I suppose you could use some algebra tricks",
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"id": 966022430311211100,
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"timestamp": "04/19/2022 13:08:15",
"content": "it should be simple but quite a long method to be fair",
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"timestamp": "04/19/2022 13:08:25",
"content": "that's what i thought",
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"author_name": "ramonov",
"timestamp": "04/19/2022 13:08:44",
"content": "$k^3 + 2k \\equiv k^3 + 2k - 3k$ \\ (mod 3)",
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"timestamp": "04/19/2022 13:09:26",
"content": "**โamonov**",
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"author_name": "WQOU99",
"timestamp": "04/19/2022 13:11:11",
"content": ".close",
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"id": 966023583656706000,
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"author_name": "Kapi",
"timestamp": "04/19/2022 13:12:50",
"content": "sorry but i don't really understand this one, but what if I change it to $k(k^2+1)$?",
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"timestamp": "04/19/2022 13:12:53",
"content": "**Kapi**",
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"timestamp": "04/19/2022 13:13:24",
"content": "where's k(k^2+1) coming from",
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"author_name": "Zybikron",
"timestamp": "04/19/2022 13:13:35",
"content": "you can also do it directly with cases, k = 3n, 3n+1, 3n+2",
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"timestamp": "04/19/2022 13:13:51",
"content": "For the induction approach: Note that the statement holds for k = 0. Also, If you put -k in place of k, you get (-k)^3 + 2(-k) = -(k^3+2k). So it suffices to prove the statement for positive integers, and then the proof for negative integers follows from the previous observation",
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"timestamp": "04/19/2022 13:15:13",
"content": "oh it should obviously be $k(k^2+2)$, sorry for misleading",
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"timestamp": "04/19/2022 13:15:15",
"content": "**Kapi**",
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"timestamp": "04/19/2022 13:15:22",
"content": "that's a fair point",
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"timestamp": "04/19/2022 13:15:42",
"content": "it's probably the easiest method for me",
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"author_name": "ramonov",
"timestamp": "04/19/2022 13:17:09",
"content": "by itself, immediate factotisation doesn't look that helpful",
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"timestamp": "04/19/2022 13:17:21",
"content": "which was why I gave that hint",
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"timestamp": "04/19/2022 13:30:43",
"content": "@Kapi Has your question been resolved?",
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"content": "Channel closed",
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}
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help-9
|
4a1bca8183dc400ebc4333e383c08043
|
199,442 |
[
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"id": 966028460394942500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 13:32:12",
"content": "Available help channel!",
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"reference": null
},
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"id": 966030456384536600,
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"author_id": 421592828083306500,
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"timestamp": "04/19/2022 13:40:35",
"content": "what i did was apply conj root theorem",
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"timestamp": "04/19/2022 13:40:39",
"content": "-2-3i is also a root",
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},
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"content": "(-2+3i)(-2-3i)=13",
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"content": "(-2+3i)+(-2-3i)=-4",
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"id": 966030796660019200,
"author_id": 421592828083306500,
"author_name": "zoraida",
"timestamp": "04/19/2022 13:41:29",
"content": "so",
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},
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"author_id": 421592828083306500,
"author_name": "zoraida",
"timestamp": "04/19/2022 13:41:45",
"content": "z^2 + 4z +13 is the quadratic factor",
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},
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"id": 966030961227751600,
"author_id": 421592828083306500,
"author_name": "zoraida",
"timestamp": "04/19/2022 13:42:09",
"content": "is that rigfht?",
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},
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"id": 966032085712252900,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/19/2022 13:46:37",
"content": "yes",
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"author_name": "Rylo",
"timestamp": "04/19/2022 13:47:16",
"content": "that times root c = 39",
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"id": 966032340386193400,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/19/2022 13:47:37",
"content": "as in root of the polynomial",
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"id": 966032373181472800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/19/2022 13:47:45",
"content": "not sqrt",
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"id": 966032386431258600,
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"author_name": "Rylo",
"timestamp": "04/19/2022 13:47:48",
"content": "@zoraida",
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"id": 966032490777182200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/19/2022 13:48:13",
"content": "therefore the last root of P(z) = 3",
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"id": 966032647736397800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/19/2022 13:48:51",
"content": "ah, I see what you did there, the last one is (z-3)",
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"author_name": "Rylo",
"timestamp": "04/19/2022 13:49:57",
"content": "you can multiply these polynomials or work out the values b and c using vieta theorem",
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"author_name": "Rylo",
"timestamp": "04/19/2022 13:50:17",
"content": "sum of roots, product of roots stuff, or sum of products",
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"id": 966033081062543500,
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"author_name": "Rylo",
"timestamp": "04/19/2022 13:50:34",
"content": "that corresponds to each variable",
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},
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"id": 966033128663683100,
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"author_name": "zoraida",
"timestamp": "04/19/2022 13:50:45",
"content": "oh right ty",
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"timestamp": "04/19/2022 14:05:46",
"content": "@zoraida Has your question been resolved?",
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"timestamp": "04/19/2022 14:05:51",
"content": "Channel closed",
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}
] |
help-9
|
d2d4e44dcc634763bfb324474828fef6
|
199,443 |
[
{
"id": 956178353793146900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 09:11:24",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 956186680237371500,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:44:29",
"content": "",
"attachments": [
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"timestamp": "03/23/2022 09:44:30",
"content": "Pinned a message.",
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{
"id": 956186785606692900,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:44:54",
"content": "What does $${\\dfrac{dy}{dx}\\bigg|_{x=x_0}=-121}$$ mean?",
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},
{
"id": 956186812060139500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 09:45:01",
"content": "**DCC**",
"attachments": [
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"id": 956187056533553200,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:45:59",
"content": "I don't understand what this question is asking me for",
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"reference": null
},
{
"id": 956187169976901600,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/23/2022 09:46:26",
"content": "Derivative at x=x0 is -121",
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},
{
"id": 956187686614495200,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:48:29",
"content": "Oh",
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},
{
"id": 956187700367593500,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:48:32",
"content": "Thanks",
"attachments": [],
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},
{
"id": 956187789463007200,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:48:54",
"content": "Is there a specific term to call the \"|\" thingy?",
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},
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"id": 956187830902726800,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:49:03",
"content": "Sorry for my lack of mathematical terminology",
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},
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"id": 956187922476990500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/23/2022 09:49:25",
"content": "Pipe, but it's just notation for evaluate",
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},
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"id": 956187953699373000,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:49:33",
"content": "I see, thanks",
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},
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"id": 956187974486339600,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:49:38",
"content": "I am gonna attempt the question now",
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},
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"id": 956189018603790300,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:53:47",
"content": "So I can just use the small increments formula to put:",
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},
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"id": 956189081409294300,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 09:54:02",
"content": "$$-\\frac{f_x}{f_y}=-121$$",
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},
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"id": 956189096622043100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/23/2022 09:54:05",
"content": "**DCC**",
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"id": 956189168009093100,
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"author_name": "DCC",
"timestamp": "03/23/2022 09:54:22",
"content": "and simplify that to get x=11 or x=-11 (rejected as x>=0)",
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},
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"id": 956190759781027800,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 10:00:42",
"content": ".close, thanks!",
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},
{
"id": 956190774922465300,
"author_id": 279932131101376500,
"author_name": "DCC",
"timestamp": "03/23/2022 10:00:45",
"content": ".close",
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},
{
"id": 956190776868601900,
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"author_name": "Mathematics Bot",
"timestamp": "03/23/2022 10:00:46",
"content": "Channel closed",
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}
] |
help-9
|
c481171ef6b940ea9b1bef8362d9735d
|
199,444 |
[
{
"id": 966037177962201100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 14:06:51",
"content": "Available help channel!",
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},
{
"id": 966039939739439100,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/19/2022 14:17:49",
"content": "```\nIn how many different ways can the twelve great houses participating in the tournament be affected by the four defections in Gulltown? (in other words in how many different ways can the twelve houses lose these four contestants?).\n```",
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"content": "Pinned a message.",
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"id": 966039964221579400,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/19/2022 14:17:55",
"content": "this is just 12C4??",
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},
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"id": 966042883788509300,
"author_id": 321636422161530900,
"author_name": "useless linux",
"timestamp": "04/19/2022 14:29:31",
"content": "Depends on the number of contestants",
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"id": 966042947663569000,
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"author_name": "useless linux",
"timestamp": "04/19/2022 14:29:46",
"content": "How many per house?",
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},
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"id": 966043671260708900,
"author_id": 741341438926651400,
"author_name": "gta",
"timestamp": "04/19/2022 14:32:39",
"content": "4-6 per house",
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"id": 966043730144534500,
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"timestamp": "04/19/2022 14:32:53",
"content": "for a total of 60 combining all the houses",
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"author_name": "useless linux",
"timestamp": "04/19/2022 14:41:48",
"content": "It might be 60C4",
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},
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"timestamp": "04/19/2022 14:47:54",
"content": "@gta Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
c2223a0d649140239d40430a04f5a9fb
|
199,445 |
[
{
"id": 966051534850896000,
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"timestamp": "04/19/2022 15:03:54",
"content": "Available help channel!",
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},
{
"id": 966052009558044800,
"author_id": 136634119340687360,
"author_name": "Aidan",
"timestamp": "04/19/2022 15:05:47",
"content": "Could someone help me with F? I am not sure how to evaluate if it is transitive or not",
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"timestamp": "04/19/2022 15:05:48",
"content": "Pinned a message.",
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"author_name": "Aidan",
"timestamp": "04/19/2022 15:07:43",
"content": "Also, are x' and y' the outputs of the relation?",
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},
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"timestamp": "04/19/2022 15:22:44",
"content": "@Aidan Has your question been resolved?",
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"timestamp": "04/19/2022 15:59:50",
"content": "@Aidan Has your question been resolved?",
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"id": 966071195764138100,
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"timestamp": "04/19/2022 16:22:01",
"content": ".close",
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},
{
"id": 966071197831946200,
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"timestamp": "04/19/2022 16:22:02",
"content": "Channel closed",
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}
] |
help-9
|
22e2f0c08342438b98e670b0e902c316
|
199,446 |
[
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"timestamp": "04/19/2022 16:23:02",
"content": "Available help channel!",
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},
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"id": 966072581398622300,
"author_id": 549028321388658700,
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"timestamp": "04/19/2022 16:27:32",
"content": "x = sin(t) + 2",
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},
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"id": 966072584741474300,
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"content": "Pinned a message.",
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"author_name": "hi2",
"timestamp": "04/19/2022 16:27:39",
"content": "How to find t?",
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"timestamp": "04/19/2022 16:29:21",
"content": "Find what? Do you have any other data?",
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"timestamp": "04/19/2022 16:29:42",
"content": "Like theres two equation",
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"timestamp": "04/19/2022 16:29:58",
"content": "x = sin(t) +2",
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"timestamp": "04/19/2022 16:30:07",
"content": "y=cos(t)",
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"author_name": "hi2",
"timestamp": "04/19/2022 16:30:21",
"content": "How to eliminate the t",
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"timestamp": "04/19/2022 16:30:55",
"content": "So make 't' the subject in 1 equation",
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"timestamp": "04/19/2022 16:31:19",
"content": "And then use that value in the other equation",
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"author_name": "hi2",
"timestamp": "04/19/2022 16:31:36",
"content": "I need to find single equation in terms of only x and y",
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"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:32:28",
"content": "Can you make 't' the subject of the equation in:\n\ny = cos(t)?",
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"timestamp": "04/19/2022 16:32:42",
"content": "Like \nt = something something",
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"timestamp": "04/19/2022 16:32:42",
"content": "I don't know",
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"timestamp": "04/19/2022 16:32:56",
"content": "Okay",
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"timestamp": "04/19/2022 16:33:38",
"content": "Btw on first one do I need to draw two line?",
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"timestamp": "04/19/2022 16:33:49",
"content": "So do you understand this step -\n\ny = cos(t)\nt = cos inverse (y) aka cos^(-1) (y)",
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"timestamp": "04/19/2022 16:34:14",
"content": "Now got it",
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"timestamp": "04/19/2022 16:35:24",
"content": "So you have 2 equations\n\nx = 6t -1 \ny = 24t \n\nOne way is to rearrange equation 1\n\nx+1= 6t\ny=24t\n\nAnd divide both the equations",
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"timestamp": "04/19/2022 16:35:54",
"content": "I can do that?",
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"timestamp": "04/19/2022 16:36:02",
"content": "Sub the 1 in?",
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"timestamp": "04/19/2022 16:36:15",
"content": "So 't' will be eliminated and you can rearrange to find the equation in terms of x and y",
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"timestamp": "04/19/2022 16:36:33",
"content": "My question is about parametric equations",
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"timestamp": "04/19/2022 16:36:37",
"content": "I just took the -1 from RHS to LHS",
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"timestamp": "04/19/2022 16:36:45",
"content": "So idk can I do that",
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"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:37:14",
"content": "Are you talking about the cos(t) question or the other question that you sent?",
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"timestamp": "04/19/2022 16:37:28",
"content": "Both?",
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"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:37:45",
"content": "So did you get this?",
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"timestamp": "04/19/2022 16:37:52",
"content": "Like this",
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"author_id": 549028321388658700,
"author_name": "hi2",
"timestamp": "04/19/2022 16:38:11",
"content": "So I can sub 1 in?",
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"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:38:38",
"content": "By sub you mean subtract or substitute, I'm a bit confused",
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"timestamp": "04/19/2022 16:39:00",
"content": "Substitute",
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"timestamp": "04/19/2022 16:40:32",
"content": "You can put it in the 2nd equation\nI showed how to eliminate 't'\nSo now you have the equation in terms of x and y and you can put values and sketch the graph",
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"author_name": "hi2",
"timestamp": "04/19/2022 16:41:05",
"content": "So I need to draw 2 equation on graph?",
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"timestamp": "04/19/2022 16:41:26",
"content": "Did you get this part? This will solve your part (a)",
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"timestamp": "04/19/2022 16:41:37",
"content": "Yea got that",
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"timestamp": "04/19/2022 16:41:56",
"content": "",
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"timestamp": "04/19/2022 16:42:25",
"content": "Yes, right",
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"timestamp": "04/19/2022 16:42:34",
"content": "So put any value of x and find the y",
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"timestamp": "04/19/2022 16:42:40",
"content": "Then plot these points",
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"timestamp": "04/19/2022 16:42:51",
"content": "And connect them with a straight line and you'll get the graph",
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"timestamp": "04/19/2022 16:43:11",
"content": "This looks correct",
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"timestamp": "04/19/2022 16:43:21",
"content": "Yea",
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"timestamp": "04/19/2022 16:43:30",
"content": "So how about the second question",
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"timestamp": "04/19/2022 16:44:00",
"content": "Yup so first you'll find the equation the same way you did for the first 1",
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"timestamp": "04/19/2022 16:44:28",
"content": "",
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"author_name": "hi2",
"timestamp": "04/19/2022 16:44:31",
"content": "This?",
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"timestamp": "04/19/2022 16:45:25",
"content": "t = cos ^ -1 (y) (Equation 1)\n\nx = sin(t) + 2 (Equation 2)\n\nUse 't' from equation one and substitute it in equation 2",
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"timestamp": "04/19/2022 16:45:33",
"content": "Yup",
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"timestamp": "04/19/2022 16:46:16",
"content": "",
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"timestamp": "04/19/2022 16:46:22",
"content": "Draw 2 point?",
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"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:46:35",
"content": "So here there are some constraints, like \n-1 <y < 1",
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"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:47:12",
"content": "Find the x coordinates for these 2 values of y",
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"timestamp": "04/19/2022 16:47:47",
"content": "Can you use graphing calcs? Otherwise it'll be a tedious task to visualize the graph",
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"timestamp": "04/19/2022 16:47:57",
"content": "Like this?",
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"timestamp": "04/19/2022 16:49:27",
"content": "Oh a circle",
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"author_name": "hi2",
"timestamp": "04/19/2022 16:50:54",
"content": "Thank you for helping me with this",
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"id": 966078490766082000,
"author_id": 549028321388658700,
"author_name": "hi2",
"timestamp": "04/19/2022 16:51:01",
"content": "Thank you",
"attachments": [],
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{
"id": 966078707267665900,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "04/19/2022 16:51:52",
"content": "You're welcome",
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 17:06:01",
"content": "@hi2 Has your question been resolved?",
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"timestamp": "04/19/2022 17:06:24",
"content": "Yes",
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"timestamp": "04/19/2022 17:06:31",
"content": "Channel closed",
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}
] |
help-9
|
1da42c7e779d46b1a2b8e309cd6a6858
|
199,447 |
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 17:07:31",
"content": "Available help channel!",
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{
"id": 966084634377076700,
"author_id": 266859159155114000,
"author_name": "APG323",
"timestamp": "04/19/2022 17:15:25",
"content": "Hi",
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"content": "Pinned a message.",
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"timestamp": "04/19/2022 17:15:37",
"content": "I'd like to ask for help on this question",
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"content": "Specifically the vertical asymptote (i have horizontal)",
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 17:33:21",
"content": "@APG323 Has your question been resolved?",
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"id": 966090516473192400,
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"timestamp": "04/19/2022 17:38:48",
"content": "@Helpers",
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},
{
"id": 966096422271348700,
"author_id": 745026731479400400,
"author_name": "m0rt41",
"timestamp": "04/19/2022 18:02:16",
"content": "hi bro",
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},
{
"id": 966096459718070400,
"author_id": 745026731479400400,
"author_name": "m0rt41",
"timestamp": "04/19/2022 18:02:25",
"content": "idk how to do the problem",
"attachments": [],
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"reference": null
},
{
"id": 966098977424543700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 18:12:25",
"content": "@APG323 Has your question been resolved?",
"attachments": [],
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"id": 966100295199367200,
"author_id": 848128910436073500,
"author_name": "The KLP",
"timestamp": "04/19/2022 18:17:39",
"content": "Purp#5471Purp#5471rp#5471rp#5471Purp#5471rp#547!RP#&!Purp#5471PPurp#5471",
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},
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"id": 966106527310180400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 18:42:25",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2c227a90f0d44f638a9a3b86fcc9e3b5
|
199,448 |
[
{
"id": 966106780864245800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 18:43:25",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 966112659709755400,
"author_id": 263158309132042270,
"author_name": "ok!!",
"timestamp": "04/19/2022 19:06:47",
"content": "need help understanding the quesiton",
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 19:06:47",
"content": "Pinned a message.",
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{
"id": 966113631114768400,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "04/19/2022 19:10:39",
"content": "Perform the multiplication - open the parenthesis",
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},
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"id": 966113715411898400,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "04/19/2022 19:10:59",
"content": "use the fundamental identities to simplify - basically just simplify the expression using trig identities",
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},
{
"id": 966113875059671200,
"author_id": 263158309132042270,
"author_name": "ok!!",
"timestamp": "04/19/2022 19:11:37",
"content": "what would happen to the both of the two's then? they would turn into fours correct? Then what?",
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"id": 966115758788714600,
"author_id": 263158309132042270,
"author_name": "ok!!",
"timestamp": "04/19/2022 19:19:06",
"content": ".close",
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},
{
"id": 966115760533569500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 19:19:06",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d23f92d0248c44a99f395b6b551158a4
|
199,449 |
[
{
"id": 966116013764661200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 19:20:07",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 966116453822652400,
"author_id": 330009741373866000,
"author_name": "potato",
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"content": "Pinned a message.",
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"id": 966116597813100700,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:22:26",
"content": "is this sequence still arithmetic even if it's 1/9+2n?",
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"id": 966116733586923500,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:22:58",
"content": "because i know that the bottom part is arithmetic but im not sure if the 1 on top changes anything",
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"id": 966118345772511400,
"author_id": 575347825093902340,
"author_name": "Tiny White Pixel",
"timestamp": "04/19/2022 19:29:23",
"content": "well, to prove that a sequence is arithmetic you need to calculate a(n+1) - a(n) and you need to find a real number independent of n, which will be the common difference",
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"timestamp": "04/19/2022 19:30:32",
"content": "a would be 11 and the common difference would be 2",
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"id": 966118674861809700,
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"author_name": "potato",
"timestamp": "04/19/2022 19:30:41",
"content": "i think",
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},
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"id": 966118845293142100,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:31:22",
"content": "the first term would be 1/11, not just 11.",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:31:33",
"content": "find a few terms before you jump to what the common difference is.",
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"id": 966118981415088100,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:31:54",
"content": "it has to be 2 though",
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},
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"id": 966119029238546400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:32:06",
"content": "^^^^",
"attachments": [],
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},
{
"id": 966119065808687200,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:32:14",
"content": "because the common difference gets multiplied by the n every time",
"attachments": [],
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},
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"id": 966119139762639000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:32:32",
"content": "so it's not 2?",
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},
{
"id": 966119275725205500,
"author_id": 575347825093902340,
"author_name": "Tiny White Pixel",
"timestamp": "04/19/2022 19:33:04",
"content": "if the sequence is arithmetic, the common difference is a constant,",
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"id": 966119380935123000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:33:30",
"content": "and 2 is a constant",
"attachments": [],
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},
{
"id": 966119502972612700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:33:59",
"content": "^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^",
"attachments": [],
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},
{
"id": 966119567774605400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:34:14",
"content": "what is a_1, a_2, and a_3?",
"attachments": [],
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},
{
"id": 966119574124785800,
"author_id": 575347825093902340,
"author_name": "Tiny White Pixel",
"timestamp": "04/19/2022 19:34:16",
"content": "I mean, a(n+1) - a(n) = a number independent of n. So a2 - a1 = a3 - a2 = a4 - a3 .......",
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},
{
"id": 966119661211107300,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:34:36",
"content": "a(n+1) - a(n) ?",
"attachments": [],
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},
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"id": 966119800562647000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:35:10",
"content": "a+(n-1)d is the thing for arithmetic sequences right",
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},
{
"id": 966119851913515000,
"author_id": 575347825093902340,
"author_name": "Tiny White Pixel",
"timestamp": "04/19/2022 19:35:22",
"content": "n+1 in the index.",
"attachments": [],
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},
{
"id": 966119979550388200,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:35:52",
"content": "what",
"attachments": [],
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},
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"id": 966120219351322600,
"author_id": 575347825093902340,
"author_name": "Tiny White Pixel",
"timestamp": "04/19/2022 19:36:49",
"content": "",
"attachments": [
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"id": 966120218625716200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/966120218625716234/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 50586
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"id": 966120246945648600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:36:56",
"content": "what are a_1, a_2, and a_3?",
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"id": 966120554530767000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:38:09",
"content": "1/11, 1/13, 1/15",
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"id": 966120697934004400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:38:44",
"content": "ok, what is 1/11-1/13 and 1/13-1/15?",
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},
{
"id": 966120811066962000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:39:11",
"content": "2/143 & 2/195",
"attachments": [],
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},
{
"id": 966120845028245500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:39:19",
"content": "are those the same number?",
"attachments": [],
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},
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"id": 966120871251025900,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:39:25",
"content": "no",
"attachments": [],
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},
{
"id": 966120944936554500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/19/2022 19:39:42",
"content": "so a_1 - a_2 and a_2 - a_3 are different. Can this be an arithmetic sequence?",
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},
{
"id": 966120966025515000,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:39:47",
"content": "nope",
"attachments": [],
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},
{
"id": 966121029476962300,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:40:03",
"content": "thank you",
"attachments": [],
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},
{
"id": 966121119402819700,
"author_id": 330009741373866000,
"author_name": "potato",
"timestamp": "04/19/2022 19:40:24",
"content": ".close",
"attachments": [],
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},
{
"id": 966121120904400900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 19:40:24",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
16254b0627b34c6ca1d57507e92197af
|
199,450 |
[
{
"id": 966131722850816000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 20:22:32",
"content": "Available help channel!",
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},
{
"id": 966132870529810600,
"author_id": 406756696564957200,
"author_name": "Vince Tafea",
"timestamp": "04/19/2022 20:27:06",
"content": "How does the triangle in equality work for functions?\n\nsay i have |f(x+a) - f(x-a)|, for a>o, f : R ->R, x in R.\n\nis this \n|f(x+a) - f(x-a)| <= |f(x+a - (x-a))|",
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"id": 966132872459190300,
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"timestamp": "04/19/2022 20:27:06",
"content": "Pinned a message.",
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{
"id": 966133562833248300,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/19/2022 20:29:51",
"content": "what kind of functions?",
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},
{
"id": 966133678394736800,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/19/2022 20:30:18",
"content": "are they convex or something?",
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},
{
"id": 966134245925982200,
"author_id": 406756696564957200,
"author_name": "Vince Tafea",
"timestamp": "04/19/2022 20:32:34",
"content": "im just kind of given that |f(x+a) - f(x-a)| <= a^2 , and im just lost as to how that relevant to differentiability, my friend suggested it looks a bit like the triangle inequality so im thinking about that now",
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},
{
"id": 966134607328190500,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/19/2022 20:34:00",
"content": "what do want to find exactly?",
"attachments": [],
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},
{
"id": 966134938279759900,
"author_id": 406756696564957200,
"author_name": "Vince Tafea",
"timestamp": "04/19/2022 20:35:19",
"content": "trying to prove differentiability",
"attachments": [],
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},
{
"id": 966135634836201500,
"author_id": 406756696564957200,
"author_name": "Vince Tafea",
"timestamp": "04/19/2022 20:38:05",
"content": "of f",
"attachments": [],
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"reference": null
},
{
"id": 966135670202593300,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/19/2022 20:38:13",
"content": "are you aware of the definition of the derivative?",
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},
{
"id": 966135862922473500,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "04/19/2022 20:38:59",
"content": "using limits",
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},
{
"id": 966136530374647800,
"author_id": 406756696564957200,
"author_name": "Vince Tafea",
"timestamp": "04/19/2022 20:41:38",
"content": "yeah. i proved the differentiability of f(x+h) and f(x-h), both their derivatives exist and equal 0. so they both must be constant. so i let f(x+a) = k, f(x-a) = c.\n|f(x+a) - f(x-a)| <= a^2 \nso |k - c| <= a^2, not sure if its a dead end",
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},
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"id": 966140306196160500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 20:56:39",
"content": "@Vince Tafea Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 21:11:39",
"content": "Channel closed",
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}
] |
help-9
|
298a5d879ab54627a1a363b6836038ed
|
199,451 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "04/19/2022 21:12:39",
"content": "Available help channel!",
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},
{
"id": 966145945374978000,
"author_id": 275482599529381900,
"author_name": "zilla",
"timestamp": "04/19/2022 21:19:03",
"content": "is this not correct ?",
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"timestamp": "04/19/2022 21:19:04",
"content": "Pinned a message.",
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"timestamp": "04/19/2022 21:34:03",
"content": "@zilla Has your question been resolved?",
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"content": "Can you just do arctan(-1) = theta?",
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"content": "i thought that otannly applied if it had a neg one near",
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"content": "i just thought root2 /root2/root2/root2 is also 1",
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"content": "sin cos etc",
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"content": "As long as the domain is valid, which arctan is always valid the. Idk why it wouldnโt work",
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"content": "but it could be cos, or sin",
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"content": "since its not a tan^-1(x)",
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"content": ".close",
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help-9
|
d4c6fa8808eb40f8b26e436270ba6559
|
199,452 |
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help-9
|
848144b08be44c2994a421deaac89d60
|
199,453 |
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"timestamp": "04/19/2022 22:02:32",
"content": "how can antisymmetric be antisymmetric and reflexive and antisymmetric and irreflexive \nantisymmetric just looks like the definition for reflexive?",
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"content": "ืกืงืก",
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"content": "ืกืงืก",
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"content": "ืกืงืก",
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"content": "ืกืงืก",
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{
"id": 966157409653498000,
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{
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help-9
|
3751a731c4584c29bc066c9f78c1100d
|
199,454 |
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help-9
|
54d157da9c224171ab97ed5ae91ce6c4
|
199,455 |
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"id": 966163188385206300,
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help-9
|
4aad0d93e6014e5eb0e66f829bf0b2d8
|
199,456 |
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"content": "@truj Has your question been resolved?",
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help-9
|
101795d60b6e488f84de97374537b5f1
|
199,457 |
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"id": 966174839201214500,
"author_id": 621557824635273200,
"author_name": "FlashBack",
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"content": "Hey. How to solve",
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"author_name": "Umbraleviathan",
"timestamp": "04/19/2022 23:14:24",
"content": "Do you notice a pattern?",
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"timestamp": "04/19/2022 23:14:33",
"content": "Between those terms",
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"content": "@FlashBack",
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"author_name": "Umbraleviathan",
"timestamp": "04/19/2022 23:22:37",
"content": "Okay well I guess you don't want help",
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"timestamp": "04/19/2022 23:28:52",
"content": "@FlashBack Has your question been resolved?",
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"timestamp": "04/19/2022 23:43:53",
"content": "Channel closed",
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}
] |
help-9
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bfadf3578e6a4c97aa2cc25ffb352b82
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199,458 |
[
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"timestamp": "04/19/2022 23:44:52",
"content": "Available help channel!",
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"id": 966182911256707100,
"author_id": 309772214453010400,
"author_name": "CliffordThePuppy",
"timestamp": "04/19/2022 23:45:56",
"content": "How the hell did they find 2 distinct eigenvectors for the same eigenvalue (1)? or at least how did they decide they were linearly independent?",
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"timestamp": "04/19/2022 23:45:57",
"content": "Pinned a message.",
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"id": 966183752944455700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/19/2022 23:49:17",
"content": "Finding A - ฮปI and then row reducing:\n0 0 1\n0 0 0\n0 0 0\nSo there's literally one condition on the eigenvectors, that the last value is 0",
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"timestamp": "04/19/2022 23:50:08",
"content": "I personally would have used (1,0,0) and (0,1,0) as the span as they seem more default, but whatevs doesn't really matter.",
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"content": "@CliffordThePuppy Has your question been resolved?",
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help-9
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13a628c40cb743cc9c3eb5141710c49b
|
199,459 |
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"timestamp": "04/20/2022 00:16:57",
"content": "Available help channel!",
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"id": 966194423018958800,
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help-9
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4bd373f9062e4dfea5c7a64be90442b5
|
199,460 |
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{
"id": 966194460050489300,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 00:31:50",
"content": "",
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"timestamp": "04/20/2022 00:31:57",
"content": "i'm kind of stuck",
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"id": 966194524005224400,
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"author_name": "manuel",
"timestamp": "04/20/2022 00:32:05",
"content": "i know the magnitude is sqrt26",
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"id": 966194611540348900,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 00:32:26",
"content": "but where do i go from here?",
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"id": 966194649314246700,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 00:32:35",
"content": "-5/sqrt26 , -1/sqrt26?",
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"id": 966194672009625600,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 00:32:40",
"content": "then rationalize?",
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"id": 966196945989288000,
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"timestamp": "04/20/2022 00:41:42",
"content": "Available help channel!",
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"timestamp": "04/20/2022 01:08:33",
"content": "Pinned a message.",
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"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 01:08:36",
"content": "how would i do question A or B?",
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"id": 966205679364866000,
"author_id": 679480710637420500,
"author_name": "okay",
"timestamp": "04/20/2022 01:16:25",
"content": "oh, u can make a complex plane",
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"id": 966205723379896300,
"author_id": 679480710637420500,
"author_name": "okay",
"timestamp": "04/20/2022 01:16:35",
"content": "3pi/4=135 deg",
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"id": 966205926631694300,
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"author_name": "manuel",
"timestamp": "04/20/2022 01:17:24",
"content": "135 degrees",
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},
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"id": 966205927210500100,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 01:17:24",
"content": "ya",
"attachments": [],
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},
{
"id": 966205930335252600,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 01:17:25",
"content": "xd",
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"id": 966205977458270200,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 01:17:36",
"content": "so once i've obtained the that angle",
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"id": 966206003047714800,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 01:17:42",
"content": "would i muliply it by 4?",
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"id": 966206195461414900,
"author_id": 869323910162825200,
"author_name": "manuel",
"timestamp": "04/20/2022 01:18:28",
"content": "`4 * cos135,4 * sin135?`",
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},
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"id": 966206291892654100,
"author_id": 679480710637420500,
"author_name": "okay",
"timestamp": "04/20/2022 01:18:51",
"content": "oh, yeah, im forget",
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"id": 966206383735316500,
"author_id": 679480710637420500,
"author_name": "okay",
"timestamp": "04/20/2022 01:19:13",
"content": "@TeXit \n$$ z = |z| e^{i \\arg{z}} $$",
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"id": 966206394137198700,
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"author_name": "TeXit",
"timestamp": "04/20/2022 01:19:15",
"content": "**okay**",
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"timestamp": "04/20/2022 01:20:26",
"content": "i think answer in a) 2sqrt(2) i - 2 sqrt(2)",
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"timestamp": "04/20/2022 01:22:20",
"content": "isnt it -2sqrt2, 2sqrt2?",
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"timestamp": "04/20/2022 01:37:20",
"content": "@manuel Has your question been resolved?",
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help-9
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e7320c94ba5240e99ae0a3b460b6e282
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199,461 |
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"timestamp": "04/20/2022 01:53:20",
"content": "Available help channel!",
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"id": 966220016477413400,
"author_id": 630304415420776400,
"author_name": "Wilfred",
"timestamp": "04/20/2022 02:13:23",
"content": "I'm given the differential equation: \n\n$$ (1+3xsin(y)) dx - (x^2 cos(y)) dy = 0 $$ \n\nAnd I'm to solve it by substitution suggested by equation. I have no idea what substitution to use.",
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"timestamp": "04/20/2022 02:13:26",
"content": "**Wilfred**",
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"timestamp": "04/20/2022 02:28:23",
"content": "@Wilfred Has your question been resolved?",
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"timestamp": "04/20/2022 02:29:16",
"content": "@Helpers",
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"timestamp": "04/20/2022 02:59:17",
"content": "@Wilfred Has your question been resolved?",
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"content": "Channel closed",
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help-9
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55f5c75eab534a4faf2dd9006a29e547
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199,462 |
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"content": "@_Ani_ Has your question been resolved?",
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help-9
|
d880a65567fb4f099af65e8368fd399c
|
199,463 |
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"timestamp": "04/20/2022 03:41:20",
"content": "Available help channel!",
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},
{
"id": 966246182898769900,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 03:57:21",
"content": "How can i get x?\nIf i use 8x-3+2x=180 the result is 183/10",
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"timestamp": "04/20/2022 03:58:11",
"content": "@่็น็พ whatโs 8x+2x",
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"author_name": "่็น็พ",
"timestamp": "04/20/2022 03:58:21",
"content": "10x",
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"timestamp": "04/20/2022 03:58:30",
"content": "Right so",
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"timestamp": "04/20/2022 03:58:45",
"content": "8x-3+2x = 180",
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"timestamp": "04/20/2022 03:58:51",
"content": "You can add the 8x and 2x",
"attachments": [],
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},
{
"id": 966246594322264000,
"author_id": 331230447151349760,
"author_name": "jpeg",
"timestamp": "04/20/2022 03:59:00",
"content": "10x - 3 = 180",
"attachments": [],
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},
{
"id": 966246692825481200,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 03:59:23",
"content": "Oh its 18",
"attachments": [],
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},
{
"id": 966246746076352500,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 03:59:36",
"content": "Wait",
"attachments": [],
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},
{
"id": 966246752569143300,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 03:59:37",
"content": "Is it",
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},
{
"id": 966246767291142100,
"author_id": 331230447151349760,
"author_name": "jpeg",
"timestamp": "04/20/2022 03:59:41",
"content": "Uh",
"attachments": [],
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},
{
"id": 966246787063107600,
"author_id": 331230447151349760,
"author_name": "jpeg",
"timestamp": "04/20/2022 03:59:46",
"content": "Thereโs a -3 part",
"attachments": [],
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},
{
"id": 966246804377202700,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 03:59:50",
"content": "-3 yeah",
"attachments": [],
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"reference": null
},
{
"id": 966246867916689400,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:00:05",
"content": "Wouldnt that make 10x =183",
"attachments": [],
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},
{
"id": 966246942294306800,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:00:23",
"content": "Then 183/10",
"attachments": [],
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},
{
"id": 966246993729036300,
"author_id": 331230447151349760,
"author_name": "jpeg",
"timestamp": "04/20/2022 04:00:35",
"content": "Yes",
"attachments": [],
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},
{
"id": 966247072909127700,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:00:54",
"content": "Im confused",
"attachments": [],
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"reference": null
},
{
"id": 966247088235118600,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:00:57",
"content": ":v",
"attachments": [],
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"reference": null
},
{
"id": 966247146925998100,
"author_id": 331230447151349760,
"author_name": "jpeg",
"timestamp": "04/20/2022 04:01:11",
"content": "The answer is 183/10",
"attachments": [],
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"id": 966247172305739800,
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"timestamp": "04/20/2022 04:01:17",
"content": "You got it",
"attachments": [],
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},
{
"id": 966247198037798900,
"author_id": 331230447151349760,
"author_name": "jpeg",
"timestamp": "04/20/2022 04:01:24",
"content": "183/10 is the same as 18.3",
"attachments": [],
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},
{
"id": 966247229184688100,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:01:31",
"content": "Oh",
"attachments": [],
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},
{
"id": 966247285363183600,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:01:44",
"content": "Ty",
"attachments": [],
"mentions": [],
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},
{
"id": 966247292279586800,
"author_id": 863299266634055700,
"author_name": "่็น็พ",
"timestamp": "04/20/2022 04:01:46",
"content": ".close",
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},
{
"id": 966247293634351100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 04:01:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
87dc017cb82447ae8e503af7fc109b20
|
199,464 |
[
{
"id": 966248709937578000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 04:07:24",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 966264903419703300,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:11:45",
"content": "I need help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966264905315516400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 05:11:45",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 966264903419703300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 966264906884194300,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:11:46",
"content": "",
"attachments": [
{
"id": 966264906091495400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/966264906091495484/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 61740
}
],
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},
{
"id": 966264913020457000,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:11:47",
"content": "part ii",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966268070404423700,
"author_id": 411882877933060100,
"author_name": "๏ผจ๏ฝ
๏ฝ๏ฝ
๏ฝ๏ฝ",
"timestamp": "04/20/2022 05:24:20",
"content": "if x^15 (x-4)^a is continuous on [6,+oo) and his limit when x goes to infinity is a constant, then J_1 converges",
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},
{
"id": 966268221349068900,
"author_id": 708982351929147400,
"author_name": "Maki",
"timestamp": "04/20/2022 05:24:56",
"content": "#help-12๏ฝebony :) just little time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966268704629329900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:26:51",
"content": "no, 1/x is continious and finite limit but doesn't converge",
"attachments": [],
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{
"id": 411882877933060100,
"name": "๏ผจ๏ฝ
๏ฝ๏ฝ
๏ฝ๏ฝ",
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"nickname": "๏ผจ๏ฝ
๏ฝ๏ฝ
๏ฝ๏ฝ",
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}
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{
"id": 966268749210599400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:27:02",
"content": "he needs to think to 1/x (just p-test in general)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966270008281952300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 05:32:02",
"content": "@STEAL.GEN Has your question been resolved?",
"attachments": [],
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"name": "STEAL.GEN",
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},
{
"id": 966270954244280300,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:35:47",
"content": "nah it is wrong",
"attachments": [],
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๏ฝ๏ฝ
๏ฝ๏ฝ",
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๏ฝ๏ฝ
๏ฝ๏ฝ",
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}
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{
"id": 966270975442288600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:35:52",
"content": "read what I said",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966271063522672600,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:36:13",
"content": "how is this relavent to 1/x",
"attachments": [],
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"reference": null
},
{
"id": 966271172843024400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:36:40",
"content": "this is essentially just x^15x^a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966271467018915800,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:37:50",
"content": "doesn't make sense",
"attachments": [],
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{
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}
],
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},
{
"id": 966271485511618600,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:37:54",
"content": "can u elaborate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966271493375926400,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:37:56",
"content": "further",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966271912089092100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:39:36",
"content": "4 is just a constant so doesn't matter",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966271949993050200,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:39:45",
"content": "could you solve it if it was x^15x^a?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966272129085603800,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:40:28",
"content": ":strictlydance:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966272148144529500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/20/2022 05:40:32",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966272170818957300,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:40:37",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966272184572076000,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:40:41",
"content": "nicr",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966272194340606100,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:40:43",
"content": "nice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966272260233125900,
"author_id": 507547814562365440,
"author_name": "STEAL.GEN",
"timestamp": "04/20/2022 05:40:59",
"content": "i meant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 966279811003740200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 06:10:59",
"content": "@STEAL.GEN Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "STEAL.GEN",
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}
],
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},
{
"id": 966287361153585200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/20/2022 06:40:59",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
025db32f4d9b41d6884ad461e94bcbbe
|
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