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"id": 1041113410680664200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 17:13:00",
"content": "Available help channel!",
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{
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"author_name": "style",
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"timestamp": "11/12/2022 17:27:42",
"content": "Pinned a message.",
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"id": 1041118888643006500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/12/2022 17:34:46",
"content": "make cos(x) your dv term and x^3 your u term",
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{
"id": 1041118951159107600,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/12/2022 17:35:01",
"content": "you'll have to use ibp 2 or three times",
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{
"id": 1041119027822612600,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/12/2022 17:35:19",
"content": "idk what the rest of the question means in english",
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"id": 1041120884183806000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 17:42:41",
"content": "@style Has your question been resolved?",
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"author_name": "style",
"timestamp": "11/12/2022 17:45:33",
"content": "it was like like `match`, but all you said was correct ty",
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"timestamp": "11/12/2022 17:57:42",
"content": "Channel closed",
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] | help-9 | e90346fe12a74900841d9a0addd6231f |
201,566 | [
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"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 17:58:42",
"content": "Available help channel!",
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{
"id": 1041126384250134500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 18:04:33",
"content": "Pinned a message.",
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"timestamp": "11/12/2022 18:08:19",
"content": "Channel closed",
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] | help-9 | 95e00c7778ab485e932890a24636b778 |
201,567 | [
{
"id": 1041129545887133800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 18:17:06",
"content": "Available help channel!",
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{
"id": 1041133074886435000,
"author_id": 286283985972101120,
"author_name": "Bigrand",
"timestamp": "11/12/2022 18:31:08",
"content": "4.2 Let Q = {Tom, Mary, Jim} and R = {Walk, Run}. Create a relationship with Q and R as domains.",
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{
"id": 1041133076190855300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 18:31:08",
"content": "Pinned a message.",
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"id": 1041133106444378200,
"author_id": 286283985972101120,
"author_name": "Bigrand",
"timestamp": "11/12/2022 18:31:15",
"content": "How do I solve that?",
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{
"id": 1041136882362363900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/12/2022 18:46:16",
"content": "@Bigrand Has your question been resolved?",
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"timestamp": "11/12/2022 19:16:20",
"content": "@Bigrand Has your question been resolved?",
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"timestamp": "11/12/2022 19:24:55",
"content": ".close",
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{
"id": 1041146612166176800,
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"timestamp": "11/12/2022 19:24:55",
"content": "Channel closed",
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}
] | help-9 | 7e9d0c1defb84ba1889f168020db5ebb |
201,568 | [
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"timestamp": "11/12/2022 19:25:56",
"content": "Available help channel!",
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"id": 1041147637300219900,
"author_id": 326759583370706940,
"author_name": "Bilal",
"timestamp": "11/12/2022 19:29:00",
"content": "Could I get some help with this question, I cant make heads or tails of it",
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"timestamp": "11/12/2022 19:29:00",
"content": "Pinned a message.",
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"content": "@Bilal Has your question been resolved?",
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"content": "@Bilal Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 6b0c5e74bd5f43d6a9156ae3b9351b3c |
201,569 | [
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"timestamp": "11/12/2022 20:17:35",
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"timestamp": "11/12/2022 20:18:21",
"content": "Pinned a message.",
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"timestamp": "11/12/2022 20:18:26",
"content": "does this look right?",
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"id": 1041160470041743500,
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"author_name": "tarzan",
"timestamp": "11/12/2022 20:19:59",
"content": "yeh it looks alr",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:20:14",
"content": "aight",
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"id": 1041160541072265300,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/12/2022 20:20:16",
"content": "but i think a u-sub is better for this integral",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:20:26",
"content": "really?",
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"id": 1041160619459621000,
"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:20:35",
"content": "I didn't think it would work because of the tan^1/2",
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"id": 1041160667752828900,
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"author_name": "tarzan",
"timestamp": "11/12/2022 20:20:47",
"content": "tan^1/2 is just sqrt(tan",
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"id": 1041160712514441200,
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"author_name": "tarzan",
"timestamp": "11/12/2022 20:20:57",
"content": "d/dx tan x = sec^2 x",
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{
"id": 1041160752012206200,
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"author_name": "~Martin",
"timestamp": "11/12/2022 20:21:07",
"content": "try doing u substitution",
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"id": 1041160766113464400,
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"author_name": "~Martin",
"timestamp": "11/12/2022 20:21:10",
"content": "that makes it really nice",
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"author_name": "~Martin",
"timestamp": "11/12/2022 20:21:17",
"content": "u=tan(15x)",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:21:26",
"content": "so tan^1/2(x)=sec(x)?",
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"id": 1041160873860923400,
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"author_name": "~Martin",
"timestamp": "11/12/2022 20:21:36",
"content": "because d/dx of tan(15x)=15sec^2(15x)",
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"id": 1041160941905137700,
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"author_name": "~Martin",
"timestamp": "11/12/2022 20:21:52",
"content": "oh sry, i didn't read what you wrote",
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"id": 1041161173296496800,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/12/2022 20:22:47",
"content": "u= tan 15x\ndu = 15 sec^2 (15x) dx\nso u have (1/15) *int ( sqrt u du)",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:23:26",
"content": "uhh",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:23:31",
"content": "ok",
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"id": 1041161370047094800,
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:23:34",
"content": "I'll try that",
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"timestamp": "11/12/2022 20:26:24",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:26:39",
"content": "oh",
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"author_id": 108728149944057860,
"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:26:45",
"content": "I can clean this up a bit",
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"timestamp": "11/12/2022 20:28:23",
"content": "XD",
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"author_name": "Dr. Leonard McCoy",
"timestamp": "11/12/2022 20:32:53",
"content": "got it right, woo",
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"timestamp": "11/12/2022 20:47:53",
"content": "@Dr. Leonard McCoy Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 811d965542c047c1aaa822eed61299d2 |
201,570 | [
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"content": "Available help channel!",
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"author_id": 1015830553859215400,
"author_name": "Kai ate me",
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"content": "Pinned a message.",
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"content": "@Kai ate me Has your question been resolved?",
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] | help-9 | 1437e6aa77db4f46ad2658c517217051 |
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"content": "Available help channel!",
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"timestamp": "11/12/2022 21:26:14",
"content": "19",
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"content": "Oh no it’s a fraction",
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"id": 1041177246083317900,
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"timestamp": "11/12/2022 21:26:39",
"content": "Is this right so far",
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"author_name": "miky",
"timestamp": "11/12/2022 21:29:48",
"content": "idk what you did but it's wrong",
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"content": "wont come out as a fraction",
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"content": "💀",
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"content": "I solved",
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"timestamp": "11/12/2022 21:33:43",
"content": "-8y=5x+17",
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"timestamp": "11/12/2022 21:33:58",
"content": "I was trying to get rid of -8",
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"timestamp": "11/12/2022 21:34:03",
"content": "That’s what I was solving for",
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"content": ".close",
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"timestamp": "11/12/2022 21:41:35",
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] | help-9 | 5cc3a620e35849e294b02a5cd281688a |
201,572 | [
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"content": "hey! for this diff eq i used the method of undetermined coefficients with the particular solution in the form\n$$ y_P = A x \\cosh(9x) + B x \\sinh(9x).$$\nbut in my work, i only managed to get one equation for \\(A\\) and \\(B.\\) i'm not sure how they got \\(A = 1/18\\) and \\(B = 0\\)",
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"timestamp": "11/12/2022 22:05:38",
"content": "**valerie<3**",
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"content": "my work",
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"content": "@valerie<3 Has your question been resolved?",
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"content": "@valerie<3 Has your question been resolved?",
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"content": "@valerie<3 Has your question been resolved?",
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"content": "@valerie<3 Has your question been resolved?",
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"author_name": "TimeTravellerOne",
"timestamp": "11/13/2022 12:26:59",
"content": "Hey. Looks like you mistyped the function and used cosh in both terms instead of sinh in the second term. 😕",
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"timestamp": "11/13/2022 12:28:05",
"content": "omg. thank you so much HAHA",
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"timestamp": "11/13/2022 12:29:04",
"content": "np 🙂",
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"timestamp": "11/13/2022 20:28:05",
"content": "@valerie<3 Has your question been resolved?",
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] | help-9 | 32e2439f122a4af48378f8072b9661d4 |
201,573 | [
{
"id": 1033540825759621200,
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"author_name": "Sneaky",
"timestamp": "10/22/2022 20:42:15",
"content": "no worries",
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"timestamp": "10/22/2022 20:49:09",
"content": "Available help channel!",
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},
{
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"timestamp": "10/22/2022 21:04:33",
"content": "Pinned a message.",
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"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:04:49",
"content": "can someone explain this to me? I feel like I get the \"definition\" but it's so unintuitive",
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:05:22",
"content": "this is an example given to me for illustration",
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:11:01",
"content": "this is another example which I don't quite get why A1 must be dependent",
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"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "10/22/2022 21:19:18",
"content": "First because it's the definition, the differential in a is uniquely defined by a",
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"author_name": "black_couscous",
"timestamp": "10/22/2022 21:19:36",
"content": "But more intuitively here you are in 1 dimension",
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"author_name": "black_couscous",
"timestamp": "10/22/2022 21:19:46",
"content": "So differentiability = derivability",
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"author_name": "black_couscous",
"timestamp": "10/22/2022 21:21:00",
"content": "Here $f(x + \\Delta x) - f(x) = f'(x)\\Delta x + o\\left( \\Delta x \\right)$",
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"id": 1033550591458295800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/22/2022 21:21:03",
"content": "**black\\_couscous**",
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"author_name": "black_couscous",
"timestamp": "10/22/2022 21:21:44",
"content": "$f'(x)$ cannot depend on $\\Delta x$",
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"id": 1033550771016446000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/22/2022 21:21:46",
"content": "**black\\_couscous**",
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:21:55",
"content": "yeh like where did this thing come from? whenever i ask that to my prof, he just says its a definition",
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"author_name": "black_couscous",
"timestamp": "10/22/2022 21:22:44",
"content": "The fact that differentiability is derivability in one dimension?",
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:23:03",
"content": "yeh ig?",
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"id": 1033551130921271300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:23:12",
"content": "i dont quite know how its like in 2D tho either",
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"author_name": "電波的な彼女",
"timestamp": "10/22/2022 21:24:06",
"content": "this is the first order approximation right?",
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 21:39:06",
"content": "@電波的な彼女 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 22:09:16",
"content": "@電波的な彼女 Has your question been resolved?",
"attachments": [],
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"author_name": "black_couscous",
"timestamp": "10/22/2022 22:45:43",
"content": "YeS",
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"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "10/22/2022 22:46:39",
"content": "It's the same but here the linear application is multiplication by f'(x)",
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"timestamp": "10/22/2022 23:09:34",
"content": "@電波的な彼女 Has your question been resolved?",
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"timestamp": "10/22/2022 23:15:29",
"content": "Channel closed",
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] | help-9 | c975cec08bef4c99bf173aae56c89bb3 |
201,574 | [
{
"id": 1041530880323240000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/13/2022 20:51:52",
"content": "Available help channel!",
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},
{
"id": 1041531469572624500,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 20:54:13",
"content": "so i have to prove if x+y is irrational, and lets say x is some subset of Q. that y is irrational. \n\ni think im going to need help proving it, but more importantly am i trying to prove a number is irrational or that an irrational number is not made rational by being having a rational number added to it? \n\nso R=R? or\nR+Q is contained within R \nwhere the R does not intersect Q for either",
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"timestamp": "11/13/2022 20:54:13",
"content": "Pinned a message.",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 20:56:50",
"content": "x is some subset of Q?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 20:57:05",
"content": "x would be a rational number",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 20:57:12",
"content": "and id have to prove y is irrational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 20:57:29",
"content": "just say x is a rational number or x is in Q then haha",
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"timestamp": "11/13/2022 20:57:54",
"content": "yah so **x is an element of Q** sorry",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 20:59:41",
"content": "for your clarifying question, you're trying to do the first thing",
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"timestamp": "11/13/2022 20:59:57",
"content": "i have a really good example on how to prove R=R",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:00:29",
"content": "the second thing would be like proving that if x is rational and y is irrational, then x+y is irrational",
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"timestamp": "11/13/2022 21:00:59",
"content": "can i kind of ignore the premise of the proof then?",
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"timestamp": "11/13/2022 21:01:11",
"content": "if all i have to do is prove y is irrational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:01:23",
"content": "ignore what exactly?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:01:44",
"content": "or how would i incorporate the givens or the **IF** part of the question",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:02:22",
"content": "**if x+y is irrational and x is rational** then y is irrational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:03:03",
"content": "the general strategy for like any proof ever that a number is irrational is proof by contradiction",
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"timestamp": "11/13/2022 21:04:07",
"content": "here is my example",
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"timestamp": "11/13/2022 21:04:55",
"content": "so id assume that x+y is rational and x is irrational? then show how y is rational",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:05:23",
"content": "im confused on how to cater the first section to my proof esentially",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:06:42",
"content": "let x and y be real numbers\nyou want to show:\nthe negation of [if x+y is irrational and x is rational, then y is irrational] leads to a contradiction",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:06:47",
"content": "so what's the negation of an if then?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:07:08",
"content": "p implies q let's say",
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"timestamp": "11/13/2022 21:08:54",
"content": "its some Aand notQ and i dont remember it exsactly",
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"timestamp": "11/13/2022 21:09:03",
"content": "that might be it or i got my not in the wrong place",
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"timestamp": "11/13/2022 21:09:22",
"content": "i did get it!",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:09:42",
"content": "not (P=> Q ) is equivalent to P and (not Q)",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:10:12",
"content": "reread what you just wrote lol",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:11:17",
"content": "Not P Or Q",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:12:02",
"content": "x+y is rational and x is irrational OR y is irrational",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:12:58",
"content": "or does the Not operator not interact with Rationalities that way?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:13:32",
"content": "im confused by this assumption",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:13:52",
"content": "i am confused by everything you've said in the past 5 minutes :c",
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"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:14:21",
"content": "what's the negation of a statement \"p implies q\"?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:15:26",
"content": "i don't think i know, whats \"implies\" mean? i don't remember using that in our class",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:15:41",
"content": "i mean p => q",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:17:13",
"content": "the negation of P=>Q is P and Not Q",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:17:30",
"content": "yes 🙂",
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"id": 1041537395977371600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:17:46",
"content": "so what's the negation of\nif x+y is irrational and x is rational, then y is irrational",
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"id": 1041537563057467500,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:18:25",
"content": "if x+y is irrational and x is rational then y is rational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:18:37",
"content": "try again :c",
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"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:18:57",
"content": "if x+y is irrational and x is rational then y is not irrational",
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"id": 1041537767802405000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:19:14",
"content": "again :c",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:19:31",
"content": "ohh duh",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:19:58",
"content": "x+y is irrational and x is rational Or y is not irrational",
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"id": 1041537993577599000,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:20:08",
"content": ":bearlain:",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:20:16",
"content": "and would y is not irrational be equivalent to y is Rational?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:21:16",
"content": "ill happily keep trying as long as you are patient, and willing to keep helping ❤️",
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"timestamp": "11/13/2022 21:21:43",
"content": "i don't know how Not operator interacts with Rational Irrational though",
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"timestamp": "11/13/2022 21:21:48",
"content": "so those are blind guesses",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:22:17",
"content": "P and Not Q",
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"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:22:22",
"content": "replace P and Q lol",
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"id": 1041538665677070500,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:22:48",
"content": "x+y is irrational and x is rational AND y is not irrational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:23:48",
"content": "yep",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:23:57",
"content": "https://tenor.com/view/happy-happy-joy-joy-ren-and-stimpy-happy-joy-stimpy-gif-23474174",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:24:09",
"content": "only took me 6 tries, i get it now though 😛",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:24:13",
"content": "loll",
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"timestamp": "11/13/2022 21:25:01",
"content": "i need to show this now as a contradiction",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:26:39",
"content": "am i going to have to prove each statement and then just look at which statements are true and false",
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"id": 1041539693533220900,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:26:53",
"content": "wdym prove each statement?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:27:31",
"content": "x+y is irrational and x is rational and y is not irrational",
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"id": 1041540179523018800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:28:49",
"content": "you assume all of that is true",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:30:05",
"content": "i cant think of an example where a rational and a not irrational number make an irrational number",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:30:19",
"content": "if i were to prove that by contra positve now",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:30:52",
"content": "or i cant think of a way to split an irrational number so i get a rational and not irrational number",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:31:01",
"content": "before we move on, what's another way to say \"not irrational\"? lol",
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"timestamp": "11/13/2022 21:31:47",
"content": "rational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:31:51",
"content": "yes lol",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:35:46",
"content": "you have that x and y are rational",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:35:53",
"content": "so what can you say about x+y?",
"attachments": [],
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"id": 1041542056897683600,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:36:17",
"content": "it should be rational",
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"id": 1041542105169936500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:36:28",
"content": "why?",
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"id": 1041542445147635700,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:37:49",
"content": "ex 1/2 + 3/4 ends up being 2/4 + 3/4 = 5/4.\nin every case you can modify the fractions to be over the same denominator, and i cant think of a case where that wouldnt work",
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"id": 1041542649754173600,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:38:38",
"content": "because A*B would always have a Greatest Common Divisor that would either equal A or B",
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"id": 1041543062943449100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:40:17",
"content": "ok, so what does it mean for x to be rational?",
"attachments": [],
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"id": 1041543161014669300,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:40:40",
"content": "x would be a fraction",
"attachments": [],
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"id": 1041543300835987500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:41:13",
"content": "so like pi/2?",
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"id": 1041543373242253300,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:41:31",
"content": "no it would be some Z / Z",
"attachments": [],
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"id": 1041543427164217300,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:41:43",
"content": "because Pi is irrational",
"attachments": [],
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},
{
"id": 1041543791817015300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:43:10",
"content": "wdym Z / Z?",
"attachments": [],
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},
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"id": 1041543935035703300,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:43:45",
"content": "where N is natural numbers\nwhere Z is integers\nwhere Q is rational numbers\nand where R is real numbers",
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"id": 1041544030862979200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:44:07",
"content": "that does not answer my question :c",
"attachments": [],
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},
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"id": 1041544262111723500,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:45:03",
"content": "it could be any integer/(any integer)",
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"id": 1041544293078286300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:45:10",
"content": "ok better ig",
"attachments": [],
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},
{
"id": 1041544361554489500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:45:26",
"content": "can you write it in full, with symbols and words?",
"attachments": [],
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},
{
"id": 1041544379493535700,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:45:31",
"content": "what it means for x to be rational",
"attachments": [],
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},
{
"id": 1041544649053057200,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:46:35",
"content": "x is an element of Q where x is Z/Z",
"attachments": [],
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"reference": null
},
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"id": 1041544829257130000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:47:18",
"content": "what did they say here?",
"attachments": [],
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"nickname": "sorinmarkauv",
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{
"id": 1041544967522365400,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:47:51",
"content": "x and y are elements of R",
"attachments": [],
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},
{
"id": 1041545020215406600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:48:03",
"content": ".-.",
"attachments": [],
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},
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"id": 1041545043762221000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:48:09",
"content": "ok what i was looking for was",
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{
"id": 1041545126691999700,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:48:29",
"content": "x is rational means x = a/b for some integers a and b with b not 0",
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},
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"id": 1041545192882319500,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:48:44",
"content": "ohh i thought you said \"I\"",
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"id": 1041545202537594900,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:48:47",
"content": "not they",
"attachments": [],
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"id": 1041545209500160000,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:48:48",
"content": "oops yes",
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"id": 1041545458759258200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:49:48",
"content": "and what does it mean for y to be rational?",
"attachments": [],
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},
{
"id": 1041545517508870300,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:50:02",
"content": "it would end up meaning the same thing",
"attachments": [],
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},
{
"id": 1041545656650694800,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:50:35",
"content": "y is rational means y= c/d for some integers c & d with d != 0",
"attachments": [],
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"reference": null
},
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"id": 1041545689739563100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:50:43",
"content": "yep, perfect",
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},
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"id": 1041545709318574200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:50:48",
"content": "so what about x+y?",
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},
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"id": 1041545834560499700,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:51:17",
"content": "thats the part where im stumped im not sure what to do with it....",
"attachments": [],
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},
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"id": 1041545870396624900,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:51:26",
"content": "i could c/d+a/b",
"attachments": [],
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},
{
"id": 1041545924557688800,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:51:39",
"content": "that just gets me some rational number",
"attachments": [],
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},
{
"id": 1041546004631126100,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:51:58",
"content": "i could do rational + rational",
"attachments": [],
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},
{
"id": 1041546195245465700,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:52:43",
"content": "that just gets me some rational number as well. i cant think of a situation that would give me an irrational number",
"attachments": [],
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},
{
"id": 1041546273762836500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:53:02",
"content": "but that's a good thing lol",
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},
{
"id": 1041546295418032100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:53:07",
"content": "why is x+y rational?",
"attachments": [],
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},
{
"id": 1041546506173423600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:53:58",
"content": "in other words, why is c/d+a/b rational?",
"attachments": [],
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},
{
"id": 1041546602273325000,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:54:20",
"content": "i dont know a proof way to say it",
"attachments": [],
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"id": 1041546907710931000,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:55:33",
"content": "but there will always be a GCD of c/d+a/b = (cb)/(db )+ (ad)/(db) = (cb+ad)/(db) and it is still rational",
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"id": 1041547087793369100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:56:16",
"content": "ok so there's the whole proof,\nc/d+a/b = cb/(db) + ad/(db) = (cb+ad)/(db) is rational",
"attachments": [],
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},
{
"id": 1041547168835711100,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:56:36",
"content": "i dont have to add more to that?",
"attachments": [],
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},
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"id": 1041547201660342300,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:56:43",
"content": "geez that feels simple",
"attachments": [],
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},
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"id": 1041547202146877400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:56:44",
"content": "nope, looks perfect to me",
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},
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"id": 1041547243150389200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:56:53",
"content": "except",
"attachments": [],
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"reference": null
},
{
"id": 1041547262590984300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:56:58",
"content": "parentheses",
"attachments": [],
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"reference": null
},
{
"id": 1041547328684826800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:57:14",
"content": "ok fixed it in my message",
"attachments": [],
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},
{
"id": 1041547689445302400,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:58:40",
"content": "so now i have x+y is irrational is FALSE and x is rational TRUE , and y is rational TRUE",
"attachments": [],
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{
"id": 1041547777689272400,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:59:01",
"content": "do i have to state that too or its self explanitory because x+y is false",
"attachments": [],
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},
{
"id": 1041547789546569700,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:59:04",
"content": "wat does x+y = FALSE mean?",
"attachments": [],
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},
{
"id": 1041547826301251700,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:59:12",
"content": "its a false statement",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041547898212597900,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:59:29",
"content": "i don't know the way to write it in text",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041547902604021800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 21:59:31",
"content": "what is?",
"attachments": [],
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},
{
"id": 1041547954357547100,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:59:43",
"content": "hold up messed it up",
"attachments": [],
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"reference": null
},
{
"id": 1041548023097983100,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 21:59:59",
"content": "fixed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041548338337681400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:01:14",
"content": "you might have it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041548415663865900,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:01:33",
"content": "should i state that in the proof?",
"attachments": [],
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},
{
"id": 1041548444516503600,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:01:40",
"content": "or is it self explanitory",
"attachments": [],
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},
{
"id": 1041548492516114600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:01:51",
"content": "what part?",
"attachments": [],
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},
{
"id": 1041548539093848000,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:02:02",
"content": "this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041548797077110900,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:03:04",
"content": "probably just something like x+y is rational, which is a contradiction somewhere is good?",
"attachments": [],
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},
{
"id": 1041548836339978400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:03:13",
"content": "depends how you write it",
"attachments": [],
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},
{
"id": 1041549190955806700,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:04:38",
"content": "because x+y is rational, it contradicts if x+y is irrational and x is rational then y is irrational",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041549345704661000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:05:15",
"content": "sounds like too many words",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041549438591696900,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:05:37",
"content": "x+y is rational contradicts x+y is irrational",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041549501682421900,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:05:52",
"content": "and thats enough?",
"attachments": [],
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},
{
"id": 1041549542161658000,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:06:01",
"content": "cool",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041549542539141200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:06:01",
"content": "i'd say so",
"attachments": [],
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"reference": null
},
{
"id": 1041549629424144400,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:06:22",
"content": "well thank you for your help. im going to write this out now",
"attachments": [],
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"reference": null
},
{
"id": 1041549651414892700,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/13/2022 22:06:27",
"content": "yep ^-^",
"attachments": [],
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"reference": null
},
{
"id": 1041553405975466100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/13/2022 22:21:23",
"content": "@sorinmarkauv Has your question been resolved?",
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"timestamp": "11/13/2022 22:26:00",
"content": "Channel closed",
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] | help-9 | b70db618100e4cd78eb99f65c0e89649 |
201,575 | [
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"author_name": "Mathematics Bot",
"timestamp": "11/13/2022 22:27:00",
"content": "Available help channel!",
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"timestamp": "11/13/2022 22:27:50",
"content": "how tf do i do this",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:30:39",
"content": "for b how far above the bird from the ground when it drops the seed?",
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"timestamp": "11/13/2022 22:30:59",
"content": "if the seed is dropped at the beginning of this model it would be droped at 0 seconds",
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"timestamp": "11/13/2022 22:31:08",
"content": "considering t is in seconds",
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"timestamp": "11/13/2022 22:31:29",
"content": "it would be h = -5 * 0 ^2 + 125",
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"timestamp": "11/13/2022 22:31:33",
"content": "H = 125",
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"timestamp": "11/13/2022 22:31:49",
"content": "see if you can figure out c then",
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"timestamp": "11/13/2022 22:32:32",
"content": "what",
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"timestamp": "11/13/2022 22:32:36",
"content": "that’s so confusing",
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"timestamp": "11/13/2022 22:32:43",
"content": "dumb it down for me",
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"author_name": "ebony",
"timestamp": "11/13/2022 22:33:09",
"content": "can i ask for help here?",
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"timestamp": "11/13/2022 22:33:22",
"content": "@ebony you got to start a new thread",
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"timestamp": "11/13/2022 22:33:27",
"content": "where",
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"timestamp": "11/13/2022 22:33:30",
"content": "look above at help - 24 or 35",
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"timestamp": "11/13/2022 22:33:34",
"content": "those are empty",
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"timestamp": "11/13/2022 22:33:56",
"content": "https://discord.com/channels/268882317391429632/908076393198419988",
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"timestamp": "11/13/2022 22:34:24",
"content": "ok so you remember y=mx + b",
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"timestamp": "11/13/2022 22:34:30",
"content": "yeah",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:34:52",
"content": "and do you remember what y = mx^2 +b looks like on a graph?",
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"timestamp": "11/13/2022 22:35:09",
"content": "yeah",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:35:24",
"content": "and the -m makes the upside down U",
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"timestamp": "11/13/2022 22:35:49",
"content": "so y=-mx^2 +b is a big upsidedown u",
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"timestamp": "11/13/2022 22:35:56",
"content": "thats A",
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"timestamp": "11/13/2022 22:36:06",
"content": "you are plotting that with b=125",
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"timestamp": "11/13/2022 22:36:15",
"content": "and m = -5",
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"timestamp": "11/13/2022 22:36:51",
"content": "got A? or understand it?",
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"timestamp": "11/13/2022 22:37:24",
"content": "once you sketch send a pic and we will talk about that",
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"timestamp": "11/13/2022 22:37:38",
"content": "k one sec",
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"author_name": "criivty",
"timestamp": "11/13/2022 22:38:48",
"content": "i have no fucking clue what to write down",
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"timestamp": "11/13/2022 22:39:10",
"content": "label the Y axis as H",
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"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:39:19",
"content": "and label the X axis as T",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:39:40",
"content": "do the plot in 10s, get about 12 tick marks",
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"timestamp": "11/13/2022 22:39:48",
"content": "going up and to the right",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:41:21",
"content": "you can send a pic of the empty plot if you want",
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"timestamp": "11/13/2022 22:41:29",
"content": "so we can make sure you got the premise",
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"timestamp": "11/13/2022 22:43:47",
"content": "should look something like this",
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"timestamp": "11/13/2022 22:44:13",
"content": "bruh i had that and i thought i was stupid so i erased it",
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"timestamp": "11/13/2022 22:44:56",
"content": "its all good, i just had to prove something that i thought was way more complicated",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:45:09",
"content": "and when someone helped me i was like,,,, wait thats it?",
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"timestamp": "11/13/2022 22:45:22",
"content": "so like",
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"author_id": 600472191838060500,
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"timestamp": "11/13/2022 22:45:24",
"content": "what do i do with it",
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"timestamp": "11/13/2022 22:46:52",
"content": "if we try to make the H=-5t^2+125 look like the y=mx+b what does it look like",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:46:56",
"content": "what would M and B be?",
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"author_name": "criivty",
"timestamp": "11/13/2022 22:47:26",
"content": "would m be -5",
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"timestamp": "11/13/2022 22:47:31",
"content": "perfect!",
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"timestamp": "11/13/2022 22:47:41",
"content": "and b",
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"timestamp": "11/13/2022 22:47:43",
"content": "is 125",
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"timestamp": "11/13/2022 22:47:59",
"content": "y = h\nx = t",
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"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:48:09",
"content": "do you remember how to plot?",
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"timestamp": "11/13/2022 22:48:16",
"content": "you just start plugging numbers in for X",
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"timestamp": "11/13/2022 22:48:22",
"content": "ye",
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"id": 1041560231974551600,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:48:30",
"content": "so for our example we are going to be putting in numbers for t",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:48:43",
"content": "lets start simple, whats H when t=0?",
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"id": 1041560315957092400,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:48:50",
"content": "or (0,h)?",
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"author_name": "criivty",
"timestamp": "11/13/2022 22:49:18",
"content": "uhhh",
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"id": 1041560455560310900,
"author_id": 600472191838060500,
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"timestamp": "11/13/2022 22:49:23",
"content": "i",
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},
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"id": 1041560514330886100,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 22:49:37",
"content": "i know this",
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"id": 1041560522887266300,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 22:49:39",
"content": "it’s",
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"id": 1041560527735902300,
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"timestamp": "11/13/2022 22:49:41",
"content": "substitute to plot",
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"id": 1041560567288168400,
"author_id": 188685927202291700,
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"timestamp": "11/13/2022 22:49:50",
"content": "h= -5t^2 + 125",
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"timestamp": "11/13/2022 22:49:58",
"content": "yeah",
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"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:50:38",
"content": "want to break it down more?",
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"id": 1041560789338832900,
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"timestamp": "11/13/2022 22:50:43",
"content": "yes please",
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"id": 1041560792560054300,
"author_id": 188685927202291700,
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"timestamp": "11/13/2022 22:50:44",
"content": "or give this a try?",
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"timestamp": "11/13/2022 22:50:52",
"content": "this",
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"timestamp": "11/13/2022 22:51:00",
"content": "t^2 when t=0",
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"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:51:06",
"content": "put 0 in for t",
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"content": "0^2 = ????",
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"timestamp": "11/13/2022 22:51:42",
"content": "i’m",
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"timestamp": "11/13/2022 22:51:45",
"content": "um",
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"content": "0",
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"timestamp": "11/13/2022 22:51:50",
"content": "why?",
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"timestamp": "11/13/2022 22:51:56",
"content": "do you remember what powers are?",
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"timestamp": "11/13/2022 22:52:09",
"content": "it’s multiplying by itself",
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"timestamp": "11/13/2022 22:52:13",
"content": "right",
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"timestamp": "11/13/2022 22:52:13",
"content": "however many times",
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"timestamp": "11/13/2022 22:52:24",
"content": "0 * 0 =0",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:52:31",
"content": "so lets go back to the big thing",
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"timestamp": "11/13/2022 22:53:00",
"content": "h = -5 t^2 + 125\nwe know that t^2 = 0 lets just change it out\nh= -5 * 0 +125",
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"timestamp": "11/13/2022 22:53:10",
"content": "do you remember order of operations?",
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"timestamp": "11/13/2022 22:53:14",
"content": "yeah",
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"timestamp": "11/13/2022 22:53:18",
"content": "whats next then?",
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"timestamp": "11/13/2022 22:53:49",
"content": "multiplication",
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"timestamp": "11/13/2022 22:53:57",
"content": "so whats -5*0",
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"timestamp": "11/13/2022 22:54:02",
"content": "0",
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"timestamp": "11/13/2022 22:54:08",
"content": "so we have 0+125",
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"timestamp": "11/13/2022 22:54:16",
"content": "so h = 125? right?",
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"timestamp": "11/13/2022 22:54:21",
"content": "i guess",
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"timestamp": "11/13/2022 22:54:38",
"content": "where did i lose you?",
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"timestamp": "11/13/2022 22:55:05",
"content": "why did we make t^2 a 0",
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"timestamp": "11/13/2022 22:55:08",
"content": "it makes no sense",
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"timestamp": "11/13/2022 22:55:28",
"content": "if we have h = -5 * 0 + 125\nand we know -5*0 = 0\nthen h=0+125\nso h=125",
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"timestamp": "11/13/2022 22:55:33",
"content": "when we plot",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:55:46",
"content": "we choose random numbers and plug them in for x in y=mx+b",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:55:53",
"content": "and we agreed t is x in this case",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:56:22",
"content": "and we chose a simple number first, 0, 1, 10 are simple numbers we can try to solve first when ploting",
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"timestamp": "11/13/2022 22:56:32",
"content": "usually the simplest is 0",
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"author_name": "criivty",
"timestamp": "11/13/2022 22:56:55",
"content": "but like what if the number is some random ass decimal that nobody would ever try",
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"timestamp": "11/13/2022 22:57:01",
"content": "what would you do then",
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"timestamp": "11/13/2022 22:57:06",
"content": "those work the same way",
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"timestamp": "11/13/2022 22:57:08",
"content": "just more messy",
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"timestamp": "11/13/2022 22:57:15",
"content": "we chose 0 because its not messy",
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"timestamp": "11/13/2022 22:57:27",
"content": "if 0 was messy id tell you to chose a different one",
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"timestamp": "11/13/2022 22:57:36",
"content": "okay",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:58:03",
"content": "but they are totally random when you are starting out because you just have to get the dart on the board to see where you need to correct your throw",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:58:26",
"content": "we need to try something and not spend years figuring out the little numbers like you said \"nobody would ever try\"",
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"id": 1041562799706480800,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:58:42",
"content": "luckly most people only care about the simple numbers too when we are ploting",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 22:58:54",
"content": "the want to see the start, the end and a few in between",
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"timestamp": "11/13/2022 22:58:57",
"content": "most of the time",
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"timestamp": "11/13/2022 22:59:09",
"content": "💯💯",
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"author_name": "criivty",
"timestamp": "11/13/2022 22:59:22",
"content": "so i solved a how do i solve b",
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"timestamp": "11/13/2022 22:59:25",
"content": "so we good on this?",
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"timestamp": "11/13/2022 22:59:37",
"content": "send pic!",
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"timestamp": "11/13/2022 23:00:13",
"content": "",
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"timestamp": "11/13/2022 23:00:18",
"content": "this good😭😭",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:00:59",
"content": "so if we want to find the start, the end and some inbetween? plotting is ussally a line and we just got the start",
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"timestamp": "11/13/2022 23:01:06",
"content": "A has only begun!",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:01:24",
"content": "lets try some more numbers",
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"author_name": "criivty",
"timestamp": "11/13/2022 23:01:34",
"content": "i don’t like more numbers😭😭",
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"timestamp": "11/13/2022 23:01:45",
"content": "big ooof",
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"timestamp": "11/13/2022 23:01:56",
"content": "something we can try next is setting y or h = 0",
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"timestamp": "11/13/2022 23:02:01",
"content": "if we want to find the end",
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"timestamp": "11/13/2022 23:02:05",
"content": "this is a good way",
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"timestamp": "11/13/2022 23:03:29",
"content": "0 = -5 t^2 +125\n-125=-5t^2\n-125/-5= t^2\n25^(1/2)=t",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:03:48",
"content": "dont get too distracted with ^(1/2) its just a different way to do square root",
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"timestamp": "11/13/2022 23:04:31",
"content": "5=t",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:05:19",
"content": "you follow?",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:05:28",
"content": "you have a dot at 125",
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"timestamp": "11/13/2022 23:05:29",
"content": "one sec",
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"timestamp": "11/13/2022 23:05:32",
"content": "and a dot at 5",
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"timestamp": "11/13/2022 23:06:52",
"content": "oh",
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"timestamp": "11/13/2022 23:06:58",
"content": "i know what i did wrong",
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"timestamp": "11/13/2022 23:07:02",
"content": "yah dont draw the line",
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"timestamp": "11/13/2022 23:07:46",
"content": "k i got t=5",
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"timestamp": "11/13/2022 23:07:49",
"content": "is it that",
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"id": 1041565100458385400,
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"timestamp": "11/13/2022 23:07:51",
"content": "perfect",
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"author_name": "criivty",
"timestamp": "11/13/2022 23:07:57",
"content": "or is it t=625",
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"timestamp": "11/13/2022 23:08:00",
"content": "now ywe need some in between",
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"timestamp": "11/13/2022 23:08:01",
"content": "because i got that to",
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"timestamp": "11/13/2022 23:08:31",
"content": "okie dokie",
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"timestamp": "11/13/2022 23:08:58",
"content": "now that we know the line ends around t=5",
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"timestamp": "11/13/2022 23:09:14",
"content": "lets plugging in t=1 t=3 and t=4",
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"timestamp": "11/13/2022 23:09:15",
"content": "bruh my thing is going by 10’s",
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"timestamp": "11/13/2022 23:09:17",
"content": "it’s so short",
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"content": "erase the bottom and put the end of it at like 5",
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"content": "i did it",
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"content": "h=-5x1^2+125 \nh=-5x3^2+125\nh=-5x4^2+125",
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"content": "discord doesnt like me using the * a lot",
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"content": "lets try t at 1 , 3, and 4",
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"content": "what does h equal",
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"timestamp": "11/13/2022 23:12:33",
"content": "we found the start, when t=0",
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"timestamp": "11/13/2022 23:12:38",
"content": "and the end when h=0",
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"timestamp": "11/13/2022 23:12:44",
"content": "now we need the in between",
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"timestamp": "11/13/2022 23:12:55",
"content": "so we chose some solid numbers between 0 and 5",
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"content": "we could do decimal but its messy",
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"timestamp": "11/13/2022 23:13:20",
"content": "and if you want to we can do as many as you would like",
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"content": "so i just solve it but change the number by 1 each time ?",
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"content": "pretty much",
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"timestamp": "11/13/2022 23:13:58",
"content": "but you can probably skip 2",
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"timestamp": "11/13/2022 23:14:03",
"content": "why",
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"timestamp": "11/13/2022 23:14:05",
"content": "(save some time)",
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"timestamp": "11/13/2022 23:14:25",
"content": "we could do \n.01\n.02\n.03\n.04\ntill we hit 5",
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"timestamp": "11/13/2022 23:14:30",
"content": "no",
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"timestamp": "11/13/2022 23:14:32",
"content": "not that",
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"timestamp": "11/13/2022 23:14:39",
"content": "too long!",
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"timestamp": "11/13/2022 23:14:44",
"content": "ong",
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"timestamp": "11/13/2022 23:14:49",
"content": "https://tenor.com/view/pirates-of-the-caribbean-black-pearl-toolong-walk-plank-slow-gif-13995988",
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"timestamp": "11/13/2022 23:15:20",
"content": "ok lemme try it rq",
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"timestamp": "11/13/2022 23:17:42",
"content": "when i did h=5x3^2+125 i got h=170",
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"timestamp": "11/13/2022 23:18:52",
"content": "forgot the minus sign",
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"timestamp": "11/13/2022 23:18:52",
"content": "it shouldn’t be that high though",
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"timestamp": "11/13/2022 23:18:57",
"content": "oh",
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"timestamp": "11/13/2022 23:19:02",
"content": "i forgot",
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"timestamp": "11/13/2022 23:19:20",
"content": "this is true but not our problem",
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"timestamp": "11/13/2022 23:19:32",
"content": "-80???",
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"timestamp": "11/13/2022 23:19:36",
"content": "wait bo6",
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"content": "no",
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"content": "80",
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"timestamp": "11/13/2022 23:19:44",
"content": "perfect!",
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"content": "h=80",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:20:23",
"content": "because i know what the answer looks like without doing the math you will need at least two more numbers around it",
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"timestamp": "11/13/2022 23:20:33",
"content": "its not a straight line and you want your teacher to see that",
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"timestamp": "11/13/2022 23:20:43",
"content": "WDYM U KNOW THE AMSWER WITHOUT DOING THE MATH",
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"timestamp": "11/13/2022 23:20:58",
"content": "how old r u",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:21:05",
"content": "want to see the math im working on?",
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"timestamp": "11/13/2022 23:21:10",
"content": "yes",
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"content": "",
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"timestamp": "11/13/2022 23:22:08",
"content": "its more words than math",
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"author_name": "criivty",
"timestamp": "11/13/2022 23:22:13",
"content": "your hand writing is really messy",
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"timestamp": "11/13/2022 23:22:16",
"content": "it makes my brain hurt",
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"timestamp": "11/13/2022 23:22:20",
"content": "it sure is!",
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"timestamp": "11/13/2022 23:22:34",
"content": "this makes no sense",
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"timestamp": "11/13/2022 23:23:03",
"content": "my math is literally so easy compared to that",
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"timestamp": "11/13/2022 23:23:09",
"content": "you can do it with your eyes closed",
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"timestamp": "11/13/2022 23:23:18",
"content": "and yet i’m struggling😭😭",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:23:34",
"content": "there are people that make me look dumb too",
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"timestamp": "11/13/2022 23:23:40",
"content": "there is always a bigger fish",
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"timestamp": "11/13/2022 23:23:47",
"content": "https://tenor.com/view/star-wars-theres-always-a-bigger-fish-the-phantom-menace-gif-15951236",
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"author_name": "criivty",
"timestamp": "11/13/2022 23:24:12",
"content": "why do you have gifs for everything you say☠️☠️🎉",
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"timestamp": "11/13/2022 23:24:20",
"content": "back to your problem!",
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"content": "ok",
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"timestamp": "11/13/2022 23:24:31",
"content": "get t=1 and t=4 done",
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"timestamp": "11/13/2022 23:24:35",
"content": "and we get to move to b",
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"timestamp": "11/13/2022 23:24:43",
"content": "which you will already have solved!",
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"timestamp": "11/13/2022 23:24:57",
"content": "b and c are just asking the questions in a different way",
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"timestamp": "11/13/2022 23:25:27",
"content": "https://tenor.com/view/star-wars-stay-on-target-y-wing-gold5-gif-5204982",
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"timestamp": "11/13/2022 23:25:39",
"content": "i got h=120",
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"author_name": "blueflame",
"timestamp": "11/13/2022 23:26:00",
"content": "I've got a question that's absolutely stumped me",
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"timestamp": "11/13/2022 23:26:08",
"content": "for -5x1^2+125",
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"timestamp": "11/13/2022 23:26:19",
"content": "blue flame you should ask a new question in help-7",
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"timestamp": "11/13/2022 23:26:20",
"content": "he’s mine😝😝",
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"timestamp": "11/13/2022 23:26:25",
"content": "or start a new thread",
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"timestamp": "11/13/2022 23:26:30",
"content": "unless it is about this problem",
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"timestamp": "11/13/2022 23:26:49",
"content": "https://discord.com/channels/268882317391429632/488120190538743810",
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"timestamp": "11/13/2022 23:27:34",
"content": "i got h=45",
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"timestamp": "11/13/2022 23:27:52",
"content": "for -5x4^2+125",
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"timestamp": "11/13/2022 23:28:23",
"content": "perfect",
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"id": 1041570290716651500,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:28:28",
"content": "thats enough points to draw the line",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:28:38",
"content": "it should start high then dip low fast at the end",
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"timestamp": "11/13/2022 23:28:45",
"content": "how do i draw them",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:29:17",
"content": "it will look **SOMETHING** like this",
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"timestamp": "11/13/2022 23:29:34",
"content": "make sure you connect your dots you found",
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"timestamp": "11/13/2022 23:29:43",
"content": "where t=1 h = 80",
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"timestamp": "11/13/2022 23:29:53",
"content": "OHHHHH",
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"timestamp": "11/13/2022 23:29:59",
"content": "I GET IT",
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"id": 1041570774856781800,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:30:24",
"content": "https://tenor.com/view/noice-nice-click-gif-8843762",
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"id": 1041570913344294900,
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"timestamp": "11/13/2022 23:30:57",
"content": "lmk when you ready for b",
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"id": 1041570956218466400,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:31:07",
"content": "and send pic once you are done",
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"id": 1041570966339338200,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:31:09",
"content": "but my graph is poorly drawn and it looks like a straight line",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:31:30",
"content": "you got 80 and 45 marked on your graph?",
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"id": 1041571083268137000,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:31:37",
"content": "mhm",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:31:38",
"content": "if you graph out those points you are good",
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"id": 1041571125802565600,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:31:47",
"content": "or you could list what you got like this",
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"id": 1041571309399846900,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:32:31",
"content": "i’m ready for b!!!",
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"id": 1041571372377325700,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:32:46",
"content": "(0,125)\n(1,120)\n(3,80)\n(4,45)\n(5,0)",
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"id": 1041571480414199800,
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"timestamp": "11/13/2022 23:33:12",
"content": "graph will probably get me more marks",
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"timestamp": "11/13/2022 23:33:16",
"content": "so for this",
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"id": 1041571571011166200,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:33:33",
"content": "that’s the first message i sent",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:33:48",
"content": "the whole problem is about this bird dropping a seed",
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"id": 1041571672320381000,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:33:58",
"content": "you see the seed the path takes to the ground now",
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"id": 1041571694944452600,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:34:03",
"content": "you just drew it",
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"id": 1041571748585422800,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:34:16",
"content": "cool",
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"id": 1041571764087558100,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:34:20",
"content": "i hate birds sm",
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"id": 1041571783339421800,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:34:24",
"content": "when did the bird drop the seed?",
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"id": 1041571830508552200,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:34:35",
"content": "wdym when",
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"author_name": "criivty",
"timestamp": "11/13/2022 23:34:55",
"content": "it doesn’t even tell me",
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"id": 1041571931079573600,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:34:59",
"content": "thats the point",
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"author_name": "criivty",
"timestamp": "11/13/2022 23:35:05",
"content": "it probably dropped it on tuesday",
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"id": 1041571955226181600,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:35:05",
"content": "thats the whole question",
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"id": 1041572003511013400,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:35:17",
"content": "well you have the path the seed took to get to the ground",
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"timestamp": "11/13/2022 23:35:24",
"content": "i do have that",
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"id": 1041572088076587100,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:35:37",
"content": "so would a seed stay suspended or start falling?",
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"id": 1041572115620560900,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:35:43",
"content": "it would fall",
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"id": 1041572121983340700,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:35:45",
"content": "i hope",
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{
"id": 1041572162772930600,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:35:55",
"content": "at what time did it start falling",
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{
"id": 1041572227193258000,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:36:10",
"content": "at 0 seconds",
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},
{
"id": 1041572275725541400,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:36:22",
"content": "125 meters in the air?",
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"id": 1041572280083415200,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:36:23",
"content": "https://tenor.com/view/brainvomitsgarden-brainvomit-nft-gif-24673936",
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"id": 1041572282423849100,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:36:23",
"content": "idk",
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"id": 1041572306184572900,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:36:29",
"content": "thats it",
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"id": 1041572314032111600,
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"timestamp": "11/13/2022 23:36:31",
"content": "you did it",
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{
"id": 1041572352762319000,
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"timestamp": "11/13/2022 23:36:40",
"content": "you just answered C and B",
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"id": 1041572353202725000,
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"timestamp": "11/13/2022 23:36:40",
"content": "is the answer for b",
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"id": 1041572358680485900,
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"timestamp": "11/13/2022 23:36:41",
"content": "125",
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"id": 1041572377030578200,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:36:46",
"content": "and c",
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"id": 1041572384777441400,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:36:48",
"content": "5 seconds",
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"id": 1041572472148992100,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:37:08",
"content": "you are",
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"id": 1041572477136015400,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:37:10",
"content": "the best",
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{
"id": 1041572557645688800,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:37:29",
"content": "wanna help me with some other questions i don’t understand😅",
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"id": 1041572605892771800,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:37:40",
"content": "you can have me untill 11",
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"id": 1041572621512364200,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:37:44",
"content": "my time",
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{
"id": 1041572632472059900,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:37:47",
"content": "what time",
"attachments": [],
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},
{
"id": 1041572638214062200,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:37:48",
"content": "i got 23 min",
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"id": 1041572648183935000,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:37:50",
"content": "it’s 11:37",
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"id": 1041572667142193300,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:37:55",
"content": "so your midnight",
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"id": 1041572684850540500,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:37:59",
"content": "okay",
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{
"id": 1041572715510898700,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:38:06",
"content": "lemme find a hard one",
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},
{
"id": 1041572731428282400,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:38:10",
"content": "lol",
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"timestamp": "11/13/2022 23:39:20",
"content": "",
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"timestamp": "11/13/2022 23:39:29",
"content": "3 different forms i know 0 of them😎😎",
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:40:57",
"content": "oh man thats some old memories",
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"id": 1041573520775327700,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:41:18",
"content": "ok well x intercepts is when x=0 like we were trying to find the starts of the word problem from before",
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"id": 1041573613402329100,
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"author_name": "criivty",
"timestamp": "11/13/2022 23:41:40",
"content": "i know what an x intercept is i just dunno how to find it",
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{
"id": 1041573679190003700,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:41:56",
"content": "re read what i just wrote",
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"id": 1041573726807924900,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:42:07",
"content": "can i just use quadratic formula on them all to find x intercept??",
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"id": 1041573805430145000,
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"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:42:26",
"content": "yes",
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"id": 1041573840997863400,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:42:35",
"content": "should i just do that",
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{
"id": 1041573863252840400,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:42:40",
"content": "or is there an easier way",
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{
"id": 1041573918814773200,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:42:53",
"content": "there is",
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{
"id": 1041573934631501800,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/13/2022 23:42:57",
"content": "quadratic formula takes so long",
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},
{
"id": 1041573936175005700,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:42:57",
"content": "its kinda mind bendy",
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"id": 1041573964327157800,
"author_id": 188685927202291700,
"author_name": "sorinmarkauv",
"timestamp": "11/13/2022 23:43:04",
"content": "it does",
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"timestamp": "11/13/2022 23:43:08",
"content": "mind bendy for me",
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"content": "or mind bendy for you",
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"content": "clearly there’s a big difference",
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"content": "ill do the first and see if you can follow",
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"content": "okay",
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"content": "x intercept is when y = 0",
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"content": "is that all",
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"content": "that’s not mind bending",
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"timestamp": "11/13/2022 23:45:31",
"content": "criivty, could you help me?",
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"content": "no",
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"content": "i’m the one being helped",
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"content": "actually no",
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"timestamp": "11/13/2022 23:45:46",
"content": "oh",
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"timestamp": "11/13/2022 23:45:49",
"content": "sorry",
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"content": "these are made up so that its unreasonable to do it any other way than the quadratic",
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"content": "eritch",
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"content": "wdym",
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"timestamp": "11/13/2022 23:46:33",
"content": "every question is made up is it not",
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"content": "https://discord.com/channels/268882317391429632/269573202018041856 post here @Eritch",
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"timestamp": "11/13/2022 23:46:53",
"content": "you have to start new thread",
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"timestamp": "11/13/2022 23:46:57",
"content": "accept my add request @sorinmarkauv",
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"timestamp": "11/13/2022 23:47:02",
"content": "sure",
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"timestamp": "11/13/2022 23:47:19",
"content": "😁",
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"timestamp": "11/13/2022 23:47:41",
"content": "he/she designed it so it was too much work to do it the other way",
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"timestamp": "11/13/2022 23:47:47",
"content": "ill show you the way to do the other one later",
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"timestamp": "11/13/2022 23:47:57",
"content": "okay",
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"timestamp": "11/13/2022 23:48:05",
"content": "the vertex is when the line flips around",
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"timestamp": "11/13/2022 23:48:06",
"content": "so how do i find axis of symmetry",
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"timestamp": "11/13/2022 23:48:29",
"content": "how do i find it with the given information",
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"timestamp": "11/13/2022 23:49:02",
"content": "you are going to have to plot them and figure out these points",
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"timestamp": "11/13/2022 23:49:07",
"content": "purple for vertex",
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"timestamp": "11/13/2022 23:49:12",
"content": "and blue line for axis",
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"timestamp": "11/13/2022 23:49:26",
"content": "it will be in line with either teh X or Y axis",
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"timestamp": "11/13/2022 23:49:34",
"content": "just make sure it follows the line you made",
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"timestamp": "11/13/2022 23:50:06",
"content": "what",
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"timestamp": "11/13/2022 23:50:37",
"content": "the formula for the axis follows something differnt than just a normal point if its shaped funnly like the ones on the right",
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"timestamp": "11/13/2022 23:50:46",
"content": "i dont think that is in the problems you shared tho",
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"timestamp": "11/13/2022 23:50:52",
"content": "definitely not",
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"timestamp": "11/13/2022 23:50:54",
"content": "because",
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"timestamp": "11/13/2022 23:50:59",
"content": "that’s scary",
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"timestamp": "11/13/2022 23:51:06",
"content": "yah you good dont worry about what i said then",
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"timestamp": "11/13/2022 23:52:17",
"content": "i still don’t know how to find vertex or aos",
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"timestamp": "11/13/2022 23:52:30",
"content": "lets use this",
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"timestamp": "11/13/2022 23:52:36",
"content": "and this",
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"timestamp": "11/13/2022 23:52:39",
"content": "and some algebra",
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"timestamp": "11/13/2022 23:52:47",
"content": "okay",
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"timestamp": "11/13/2022 23:52:53",
"content": "4x^2-8x -5",
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"timestamp": "11/13/2022 23:53:08",
"content": "can also be writen like (4x^2-8x) -5",
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"timestamp": "11/13/2022 23:53:20",
"content": "you can do some fun things to this",
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"timestamp": "11/13/2022 23:53:27",
"content": "take a 4x out",
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"timestamp": "11/13/2022 23:53:48",
"content": "we have a different understanding of fun dont we",
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"timestamp": "11/13/2022 23:53:48",
"content": "4x(x-2) = 4x^2-8x",
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"timestamp": "11/13/2022 23:54:08",
"content": "why can you just take 4x out",
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"timestamp": "11/13/2022 23:54:13",
"content": "what give it the power",
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"timestamp": "11/13/2022 23:54:14",
"content": "so now we can look at -2 as h",
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"content": "algrebra",
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"timestamp": "11/13/2022 23:54:38",
"content": "try and multiply 4x by x",
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"timestamp": "11/13/2022 23:54:43",
"content": "and 4x by -2",
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"timestamp": "11/13/2022 23:54:55",
"content": "it ends up being the same thing",
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"timestamp": "11/13/2022 23:55:21",
"content": "its a trick you have to kind of remember you can do",
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"timestamp": "11/13/2022 23:55:28",
"content": "it becomes very useful later",
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"timestamp": "11/13/2022 23:55:33",
"content": "how does it end up being the same thing",
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"timestamp": "11/13/2022 23:55:37",
"content": "but its the parenthesis multiplication backwards",
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"timestamp": "11/13/2022 23:56:10",
"content": "2(x+2) =2x+4 = 2(x+2)",
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"timestamp": "11/13/2022 23:56:18",
"content": "you can do it both ways",
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"timestamp": "11/13/2022 23:56:39",
"content": "how do i become as smart as you",
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"timestamp": "11/13/2022 23:57:15",
"content": "sorry back to the question",
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"timestamp": "11/13/2022 23:59:12",
"content": "https://youtu.be/jcTKaNkWFUU \n\nshe is the best",
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"timestamp": "11/13/2022 23:59:22",
"content": "this might not be the best one but this is what im doing",
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"timestamp": "11/13/2022 23:59:46",
"content": "then i made it look like the formula on the left side so it tells you that H and K are vertex and axis",
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"timestamp": "11/13/2022 23:59:52",
"content": "so you dont even have to quadratic",
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"timestamp": "11/14/2022 00:00:24",
"content": "good luck man",
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"timestamp": "11/14/2022 00:00:28",
"content": "im out to finish my test",
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},
{
"id": 1041578373048193200,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/14/2022 00:00:35",
"content": "my test is tomorrow",
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},
{
"id": 1041578385886953600,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/14/2022 00:00:38",
"content": "and i’m going to fail",
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},
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"id": 1041578393965183000,
"author_id": 600472191838060500,
"author_name": "criivty",
"timestamp": "11/14/2022 00:00:40",
"content": "good luck",
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},
{
"id": 1041582169694425200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 00:15:40",
"content": "@criivty Has your question been resolved?",
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"timestamp": "11/14/2022 00:17:47",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | ea85b37432e747f78e6210471c978878 |
201,576 | [
{
"id": 1041582955337875500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 00:18:48",
"content": "Available help channel!",
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},
{
"id": 1041583572810739700,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:21:15",
"content": "\\",
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"content": "Pinned a message.",
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"id": 1041583635612049400,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:21:30",
"content": "im confused as to why its not f(x) => f(m)",
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},
{
"id": 1041583714494324700,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:21:49",
"content": "if f(m) is the minimum value of the function",
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},
{
"id": 1041583750221398000,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:21:57",
"content": "shouldn't f(x) always be greater than or equal to f(m)",
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},
{
"id": 1041583836322091000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 00:22:18",
"content": "that looks like a mistake",
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},
{
"id": 1041583867162800100,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:22:25",
"content": "ah",
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},
{
"id": 1041583901136654300,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:22:33",
"content": "so it should say f(x) => f(m)?",
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"id": 1041583984662028300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 00:22:53",
"content": "yes",
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"id": 1041584006917013500,
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"author_name": "sytez",
"timestamp": "11/14/2022 00:22:58",
"content": "alright thanks",
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},
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"id": 1041584011652370600,
"author_id": 330789640602779650,
"author_name": "sytez",
"timestamp": "11/14/2022 00:23:00",
"content": ".close",
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},
{
"id": 1041584014173143000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 00:23:00",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 48839392e7af409e961ea827f9160b52 |
201,577 | [
{
"id": 1041584051296940000,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 00:23:09",
"content": "yep 🙂",
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},
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"id": 1041586100331884500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 00:31:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041586994079350800,
"author_id": 811639124799914000,
"author_name": "Dr.",
"timestamp": "11/14/2022 00:34:51",
"content": "can someone help with chemistry",
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},
{
"id": 1041586996302336100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 00:34:51",
"content": "Pinned a message.",
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"id": 1041587929371381900,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "11/14/2022 00:38:34",
"content": "hmm it depends on the question",
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},
{
"id": 1041588964953423900,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/14/2022 00:42:41",
"content": "there’s a chem server",
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},
{
"id": 1041588994493927400,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/14/2022 00:42:48",
"content": "(might be more helpful)",
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},
{
"id": 1041589157572644900,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "11/14/2022 00:43:26",
"content": "yep I agree. If it's a problem needing some ratio mixing or math or moles or something like that we *might* be able to help, but otherwise the homework help server or a dedicated chemistry server is your best bet",
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"timestamp": "11/14/2022 00:49:51",
"content": "@Dr. Has your question been resolved?",
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"timestamp": "11/14/2022 01:04:51",
"content": "Channel closed",
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}
] | help-9 | 193ccc5d9e1241e1862d981673834261 |
201,578 | [
{
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"timestamp": "11/14/2022 01:40:19",
"content": "Available help channel!",
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},
{
"id": 1041606808009195500,
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"timestamp": "11/14/2022 01:53:35",
"content": "Pinned a message.",
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"timestamp": "11/14/2022 01:54:05",
"content": "Channel closed",
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}
] | help-9 | efe6981f86354e8e94d255639b33aef3 |
201,579 | [
{
"id": 1041606950552621000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:54:09",
"content": "$x^{\\log(x)} = \\log_x(\\frac{x^3}{100})$",
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},
{
"id": 1041606961311002600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/14/2022 01:54:11",
"content": "**WhyWouldYouKap**",
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"timestamp": "11/14/2022 01:54:23",
"content": "i simplified this to",
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},
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"id": 1041607187610480600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:55:05",
"content": "$x ^ {\\log(x)} = 3 - \\log_x{100}$",
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},
{
"id": 1041607196854730900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/14/2022 01:55:07",
"content": "**WhyWouldYouKap**",
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"id": 1041607214550499300,
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"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:55:12",
"content": "there we go",
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},
{
"id": 1041607219386523800,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "11/14/2022 01:55:13",
"content": "EXCUSE ME **YOU** simplified that?!?!? I beg your pardon! (lmao j/k)",
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{
"id": 1041607231470321700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/14/2022 01:55:16",
"content": "What’s the actual question here?",
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},
{
"id": 1041607259576348700,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:55:22",
"content": "this was the original",
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},
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"id": 1041607300865085400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:55:32",
"content": "this boss helped me",
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"id": 1041607371086102500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:55:49",
"content": "now he (or other pronouns) and me stuck",
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},
{
"id": 1041607460261216300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/14/2022 01:56:10",
"content": "That’s an equation, but what’s the question. What are you trying to do with it?",
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},
{
"id": 1041607479655669800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:56:15",
"content": "solve for x",
"attachments": [],
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},
{
"id": 1041607552410071200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/14/2022 01:56:32",
"content": "Solve for x or show a solution exists?",
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},
{
"id": 1041607585775767600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:56:40",
"content": "it said solve for x",
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},
{
"id": 1041607688863371300,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:57:05",
"content": "im not super sure bc it was in a maths test i did like 8 hours ago",
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},
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"id": 1041607727916523500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:57:14",
"content": "which i dont have access to",
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},
{
"id": 1041608298224423000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/14/2022 01:59:30",
"content": "Does log mean base 10",
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},
{
"id": 1041608312296329200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "11/14/2022 01:59:33",
"content": "Or base e",
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},
{
"id": 1041608329891422200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:59:37",
"content": "base 10",
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},
{
"id": 1041608375626104800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "11/14/2022 01:59:48",
"content": "we havent got to natural logs yet",
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},
{
"id": 1041615217102180400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 02:27:00",
"content": "Available help channel!",
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},
{
"id": 1041616918978764800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 02:33:45",
"content": "Pinned a message.",
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"timestamp": "11/14/2022 02:33:54",
"content": "Channel closed",
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}
] | help-9 | 04303ddce48d487381ab700d46fb3519 |
201,580 | [
{
"id": 1041617083718443000,
"author_id": 320668139614502900,
"author_name": "Rayaan29",
"timestamp": "11/14/2022 02:34:25",
"content": ".close",
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},
{
"id": 1041619444461486200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 02:43:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1041622644455395300,
"author_id": 991263073669230600,
"author_name": "_-_",
"timestamp": "11/14/2022 02:56:30",
"content": "how do I simplify 2cos -sin?",
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},
{
"id": 1041622645491380200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 02:56:31",
"content": "Pinned a message.",
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"id": 1041622804044464300,
"author_id": 715020322541273100,
"author_name": "Phearia",
"timestamp": "11/14/2022 02:57:08",
"content": "like 2 * ( cos(x) - sin(x) )?",
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},
{
"id": 1041622895752925200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/14/2022 02:57:30",
"content": "Um",
"attachments": [],
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},
{
"id": 1041622924920102900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/14/2022 02:57:37",
"content": "Taylor it? 💀",
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},
{
"id": 1041622955228139500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/14/2022 02:57:44",
"content": "Not sure how you could simplify that tho",
"attachments": [],
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},
{
"id": 1041623030285213700,
"author_id": 715020322541273100,
"author_name": "Phearia",
"timestamp": "11/14/2022 02:58:02",
"content": "Is that what you meant to write I mean",
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},
{
"id": 1041623055174205400,
"author_id": 715020322541273100,
"author_name": "Phearia",
"timestamp": "11/14/2022 02:58:08",
"content": "I mean you could taylor it",
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},
{
"id": 1041623150846287900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/14/2022 02:58:31",
"content": "In the state they wrote it in, it is just an expression that is already simplified :thinkies:",
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},
{
"id": 1041623158513471500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 02:58:33",
"content": "idk how much simpler you could ask for lol",
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},
{
"id": 1041623548264980500,
"author_id": 715020322541273100,
"author_name": "Phearia",
"timestamp": "11/14/2022 03:00:06",
"content": "You can always look at it as cos(x) + cos(x) - sin(x)",
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},
{
"id": 1041623657501438000,
"author_id": 991263073669230600,
"author_name": "_-_",
"timestamp": "11/14/2022 03:00:32",
"content": "i was supposed to take the derivative of cos^2 but the solution was apparently -sin(2x)",
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},
{
"id": 1041623663595749400,
"author_id": 715020322541273100,
"author_name": "Phearia",
"timestamp": "11/14/2022 03:00:33",
"content": "I just wanna know the context since someone brought up tayloring",
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},
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"id": 1041623857976594400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/14/2022 03:01:20",
"content": "Nah I just dropped that because there is nothing else you can do really to \"simplify\" Dw",
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"timestamp": "11/14/2022 03:01:48",
"content": "Ohhhh do u mean 2cos(x) * -sin(x)?",
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"timestamp": "11/14/2022 03:01:50",
"content": "but where did that come from?",
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"content": "yeah",
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"content": "Ahhh",
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"timestamp": "11/14/2022 03:02:08",
"content": "Okay so that's actually a trig identity",
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"content": "Lmao",
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"content": "Double angle",
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"timestamp": "11/14/2022 03:02:18",
"content": "sin(2x) = 2cos(x)sin(x)",
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"content": "That's why your derivative simplified to -sin(2x)",
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"timestamp": "11/14/2022 03:03:00",
"content": "Looks like there *was* a reason to ask for clarification then",
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] | help-9 | d5f16d2a76354c98bd5de3c929619df2 |
201,581 | [
{
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"content": "okay",
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"content": "so what have you tried so far?",
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"id": 1041628422083973200,
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"timestamp": "11/14/2022 03:19:28",
"content": "nothing",
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"id": 1041628481483718700,
"author_id": 408313177856671740,
"author_name": "lissgeuz",
"timestamp": "11/14/2022 03:19:42",
"content": "so you have no idea at all",
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"timestamp": "11/14/2022 03:19:59",
"content": "yea",
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"id": 1041628656021291000,
"author_id": 408313177856671740,
"author_name": "lissgeuz",
"timestamp": "11/14/2022 03:20:24",
"content": "• While asking questions, make sure to mention all relevant details, including what you have tried and what you're stuck at. Do not expect others to simply solve your questions for you",
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},
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"id": 1041628683573657600,
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"timestamp": "11/14/2022 03:20:30",
"content": "this is one of the rules yk",
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"timestamp": "11/14/2022 03:20:42",
"content": "well okay",
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"timestamp": "11/14/2022 03:20:46",
"content": "ah",
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"timestamp": "11/14/2022 03:20:49",
"content": "hmm lemme try hold up",
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"timestamp": "11/14/2022 03:21:00",
"content": "yea ping me when u have tried",
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"timestamp": "11/14/2022 03:25:05",
"content": "4c + 3a? @lissgeuz",
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"content": "yea",
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"timestamp": "11/14/2022 03:25:30",
"content": "exactly",
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"timestamp": "11/14/2022 03:25:44",
"content": "oh thats correct?",
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"timestamp": "11/14/2022 03:25:52",
"content": "i think so yes",
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"timestamp": "11/14/2022 03:25:58",
"content": "i would belive",
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"timestamp": "11/14/2022 03:26:06",
"content": "ah alright ty",
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] | help-9 | 6fd7df65db924fdca42bdc675c271bc7 |
201,582 | [
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"content": "Discrete mathematics question:",
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"content": "Could someone tell me if my proof makes any sense? And help me improve it?",
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"content": "@MoreeZ Has your question been resolved?",
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"timestamp": "11/14/2022 03:55:12",
"content": "@Helpers",
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"author_name": "D.",
"timestamp": "11/14/2022 04:25:06",
"content": "@MoreeZ in the last bit of ur induction arent u trying to prove sum(k+1)>= k+1",
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"timestamp": "11/14/2022 04:25:16",
"content": "Not 0",
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"timestamp": "11/14/2022 04:35:16",
"content": "@MoreeZ Has your question been resolved?",
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] | help-9 | b51f3a4a54e6483dabb53dc171f29377 |
201,583 | [
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"id": 1041661223797805200,
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"timestamp": "11/14/2022 05:29:48",
"content": "Hi, fourier series question here.",
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"timestamp": "11/14/2022 05:30:07",
"content": "From my old notes of a lecture i have that:",
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"id": 1041661398851272700,
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"timestamp": "11/14/2022 05:30:30",
"content": "And that \" i sin npi\" = 0",
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"id": 1041661500995162200,
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"timestamp": "11/14/2022 05:30:54",
"content": "is this correct to begin with?",
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"id": 1041661568573771900,
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"author_name": "ottie",
"timestamp": "11/14/2022 05:31:11",
"content": "And if so, can i use this when im \"solving\" the problem",
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"id": 1041661673708195800,
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"timestamp": "11/14/2022 05:31:36",
"content": "lets say i have:",
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"timestamp": "11/14/2022 05:32:45",
"content": "Can i then just remove the whole sin term",
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"timestamp": "11/14/2022 05:34:42",
"content": "yes, as long as n is known to be an integer.",
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"timestamp": "11/14/2022 05:35:30",
"content": "Thank you @Ann",
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"content": ".close",
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] | help-9 | d42e4e8156c24be3af882cd362b27072 |
201,584 | [
{
"id": 1033579640683511800,
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"id": 1033580936979292200,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/22/2022 23:21:38",
"content": "3xy + 4x^2 y − xy + 2yx^2 how do i get 2xy + 6x^2 y from it",
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"id": 1033581061831131100,
"author_id": 798063099387052200,
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"timestamp": "10/22/2022 23:22:08",
"content": "Group the like terms together",
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"id": 1033581113609826300,
"author_id": 798063099387052200,
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"timestamp": "10/22/2022 23:22:20",
"content": "Then, perform addition and subtraction operations on the like terms",
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"id": 1033581149924110300,
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"timestamp": "10/22/2022 23:22:29",
"content": "ah right",
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"author_name": "The golden fish",
"timestamp": "10/22/2022 23:22:41",
"content": "hii ill join in here",
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"id": 1033581220119990400,
"author_id": 807475848714256400,
"author_name": "The golden fish",
"timestamp": "10/22/2022 23:22:45",
"content": "group the like terms",
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},
{
"id": 1033581281663012900,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/22/2022 23:23:00",
"content": "so i group 4x^2 y and 2yx^2 together and then subtract the 3xy -xy",
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"id": 1033581333097762800,
"author_id": 807475848714256400,
"author_name": "The golden fish",
"timestamp": "10/22/2022 23:23:12",
"content": "yes",
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},
{
"id": 1033581348599890000,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "10/22/2022 23:23:16",
"content": "yes",
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{
"id": 1033581361098916000,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/22/2022 23:23:19",
"content": "thanks",
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},
{
"id": 1033581380208185300,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/22/2022 23:23:24",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1033581382112383000,
"author_id": 798063099387052200,
"author_name": "Anonymous User",
"timestamp": "10/22/2022 23:23:24",
"content": "welcome",
"attachments": [],
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"reference": null
},
{
"id": 1033581382968033400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 23:23:24",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | cd241958529040c080b5d6b038fb024e |
201,585 | [
{
"id": 1041673924192256000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 06:20:16",
"content": "Available help channel!",
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"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:39:58",
"content": "is there a way to factor a two variable trinomial faster?",
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"timestamp": "11/14/2022 06:41:55",
"content": "@LichBaw_GT idk maybe try quad formula should work",
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"timestamp": "11/14/2022 06:42:21",
"content": "the quad formula tell me the roots of the trinomial",
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"timestamp": "11/14/2022 06:42:34",
"content": "well if a root is x=2",
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"timestamp": "11/14/2022 06:42:40",
"content": "u know a bracket is (x-2)",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:42:41",
"content": "and quad formula works for quadratics only not for two variable trinomials right?",
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"timestamp": "11/14/2022 06:43:46",
"content": "quad formula works for two variable trinomials?",
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"timestamp": "11/14/2022 06:46:09",
"content": "hmmm",
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"timestamp": "11/14/2022 06:46:12",
"content": "nah",
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"content": "@LichBaw_GT",
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"timestamp": "11/14/2022 06:46:51",
"content": "Same answer as u",
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"timestamp": "11/14/2022 06:48:29",
"content": "🙂",
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"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:48:49",
"content": "it doesnt help to throw me things that i already know",
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{
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"timestamp": "11/14/2022 06:49:04",
"content": "these are the things that i literally did here",
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"timestamp": "11/14/2022 06:49:22",
"content": ",rotate",
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"author_name": "TeXit",
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"timestamp": "11/14/2022 06:49:43",
"content": "i dont understand what your doing here",
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"id": 1041681374639300600,
"author_id": 246577435963949060,
"author_name": "Spiridon",
"timestamp": "11/14/2022 06:49:53",
"content": "quadratic formula",
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"id": 1041681397250805800,
"author_id": 246577435963949060,
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"timestamp": "11/14/2022 06:49:58",
"content": "a b and c",
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"author_name": "Spiridon",
"timestamp": "11/14/2022 06:50:20",
"content": "u wanted a faster way",
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"id": 1041681637911576700,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:50:55",
"content": "yes but theres two variables",
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"timestamp": "11/14/2022 06:51:03",
"content": "i dont understand",
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"id": 1041681982041624600,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:52:18",
"content": "oi guys",
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"id": 1041681995094294500,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:52:21",
"content": "guys",
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},
{
"id": 1041682040866742300,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:52:32",
"content": "I just remembered what my teacher used to tell me",
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"id": 1041682067794174000,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:52:38",
"content": "yes?",
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"id": 1041682149117546600,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:52:57",
"content": "take 3x^4-xy-14y^2",
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},
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"id": 1041682173226405900,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:53:03",
"content": "break it into two",
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"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:53:21",
"content": "i thought the quad formula only work for expressions in this form(the quadratic form)",
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"id": 1041682293170913400,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:53:32",
"content": "and my trinomial is surely not in that form",
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"id": 1041682359919071200,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:53:48",
"content": "theres no constant in this equation",
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"id": 1041682386703876100,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:53:54",
"content": "(3x^2+6xy)+(-7xy-14y^2)",
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},
{
"id": 1041682396220752000,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:53:56",
"content": "and voila",
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},
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"id": 1041682399513284700,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:53:57",
"content": "factorisation by grouping?",
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"id": 1041682429146058900,
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:54:04",
"content": "yess",
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},
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"id": 1041682443444428900,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:54:08",
"content": "that was the word",
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},
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"id": 1041682462058762200,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:54:12",
"content": "term*",
"attachments": [],
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},
{
"id": 1041682507378204700,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:54:23",
"content": "isnt this what i did",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:54:30",
"content": "look at the last 4 lines",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:55:24",
"content": "(3x^2+6xy)+(-7xy-14y^2)\n= 3x(x+2y)-7y (x+2y)\n= (3x-7y)(x+2y)",
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"id": 1041682799222067200,
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"timestamp": "11/14/2022 06:55:32",
"content": "hmm thats what i did",
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"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:55:37",
"content": "why are you doing all that then?",
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"id": 1041682843979485200,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:55:43",
"content": "just solve it",
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},
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"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:55:44",
"content": "so i can find the mid term",
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"id": 1041682890448175200,
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:55:54",
"content": "you don't need to find it",
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},
{
"id": 1041682893568757900,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:55:55",
"content": "omg",
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},
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"id": 1041682922874355800,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:56:02",
"content": "i dont like to do things blindly",
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"id": 1041682928054304800,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:56:03",
"content": "just be good with numbers",
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"id": 1041682987563094000,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:56:17",
"content": "thats what they all say",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:56:31",
"content": "or in other words practice",
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"timestamp": "11/14/2022 06:56:35",
"content": "maths takes time",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:57:12",
"content": "how do u find the mid term?",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:58:12",
"content": "I saw 3 on one side and I saw 14 on the other",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:58:22",
"content": "and I needed two of them to add up to -1",
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"id": 1041683556533018800,
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"timestamp": "11/14/2022 06:58:33",
"content": "so instinctively I chose 6 and -7",
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"timestamp": "11/14/2022 06:58:35",
"content": "ez dubs",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:58:39",
"content": "oh okay this is like with quadratics",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:58:57",
"content": "or use the quadratic equation lol",
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"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 06:59:14",
"content": "100% success rate",
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"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 06:59:22",
"content": "so basically what you did was find two numbers that has a product -42 and adds up to -1?",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 06:59:38",
"content": "what's 42 doing here?",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:00:02",
"content": "we don't talk about 42 here, it's not normal quadratics",
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"id": 1041683954656362600,
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:00:08",
"content": "this one's a bit different",
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"timestamp": "11/14/2022 07:00:40",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:00:50",
"content": "well ur looking for the HCF",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:01:02",
"content": "ah you can do it like that as well",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:01:26",
"content": "I remember my teacher talking about that but if you do like 10-20 questions you would not even need that",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:01:45",
"content": "ive done like 100+",
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"id": 1041684378675314700,
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:01:49",
"content": "bruh",
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"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:02:01",
"content": "then don't write all that",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:02:15",
"content": "ye i havent done these in quite a long time",
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:02:17",
"content": "just think in your head that 3*-14 is -42",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:02:26",
"content": "so i wanted to see if i still know how to factor it",
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"timestamp": "11/14/2022 07:02:29",
"content": "and 6*-7 is also -42",
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"timestamp": "11/14/2022 07:02:44",
"content": "well that's the best way to do it",
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"timestamp": "11/14/2022 07:02:46",
"content": "and adds up to -1",
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"id": 1041684632980160500,
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"author_name": "Rasputin",
"timestamp": "11/14/2022 07:02:50",
"content": "ye",
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"id": 1041684708074979300,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:03:07",
"content": "yep",
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"id": 1041684734645911700,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:03:14",
"content": "are u 100% sure?",
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"id": 1041684792632168400,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:03:28",
"content": "out of all methods, thats the best one?",
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"id": 1041684808528564200,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:03:31",
"content": "I mean other ways would probably be too tedious",
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"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:03:44",
"content": "i guess",
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"id": 1041685019879546900,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:04:22",
"content": "this one is what my textbook says as well although if you wanna score well you might want to cut down on your steps to save time for the harder questions",
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"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:04:32",
"content": "oh ok",
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"id": 1041685098749247500,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:04:41",
"content": "ill only use it when they want me to explain it in detail",
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"id": 1041685205422977200,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:05:06",
"content": "good luck mate",
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},
{
"id": 1041685248255209600,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:05:16",
"content": "also im allowed to post another question on the same channel right?",
"attachments": [],
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},
{
"id": 1041685285722914800,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:05:25",
"content": "ig, idk",
"attachments": [],
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},
{
"id": 1041685327556902900,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:05:35",
"content": "ping @everyone",
"attachments": [],
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},
{
"id": 1041685340819296300,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:05:38",
"content": "lol",
"attachments": [],
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},
{
"id": 1041685379201384600,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:05:47",
"content": "?",
"attachments": [],
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},
{
"id": 1041685429201686700,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:05:59",
"content": "'twas a joke",
"attachments": [],
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},
{
"id": 1041685468057702400,
"author_id": 635503039435767800,
"author_name": "Rasputin",
"timestamp": "11/14/2022 07:06:09",
"content": "ask the Mods",
"attachments": [],
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},
{
"id": 1041685588878827600,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:06:37",
"content": "ill just open another channel",
"attachments": [],
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},
{
"id": 1041685615340683300,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:06:44",
"content": "anyways thanks for the help",
"attachments": [],
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},
{
"id": 1041685617609801700,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:06:44",
"content": ".close",
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},
{
"id": 1041685620705214600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 07:06:45",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 063e5d369fa145ccb4a000d9850cc0bd |
201,586 | [
{
"id": 1041685630675066900,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "11/14/2022 07:06:47",
"content": "have a nice day",
"attachments": [],
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},
{
"id": 1041685875005849700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 07:07:46",
"content": "Available help channel!",
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},
{
"id": 1041686343648022500,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:09:37",
"content": "Ik I just asked a question but i have another one",
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},
{
"id": 1041686346290438100,
"author_id": 805217272087838700,
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"timestamp": "11/14/2022 07:09:38",
"content": "Pinned a message.",
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"timestamp": "11/14/2022 07:10:34",
"content": "How do I get the range of g?",
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},
{
"id": 1041688015820574700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:16:16",
"content": "Were you able to answer part (1)?",
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"id": 1041688175468359800,
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"author_name": "tatpoj",
"timestamp": "11/14/2022 07:16:54",
"content": "@kurtzz69",
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"id": 1041688237183336400,
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"timestamp": "11/14/2022 07:17:09",
"content": "Yes",
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},
{
"id": 1041688604805709800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:18:37",
"content": "What transformations did you describe?",
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{
"id": 1041688677237149800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:18:54",
"content": "from f(x) to g(x)",
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},
{
"id": 1041688911178645600,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:19:50",
"content": "Horizontal stretch\nShift to the right\nReflection over x axis\nVertical stretch",
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"id": 1041688997472243700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:20:10",
"content": "so particularly those vertical transformations",
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},
{
"id": 1041689013733568500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:20:14",
"content": "How do they affect the range",
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},
{
"id": 1041689047552233500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:20:22",
"content": "the range of f(x) is [0,8]",
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},
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"id": 1041689136828002400,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:20:43",
"content": "Ohhh yeah you're right",
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"id": 1041689144604233900,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:20:45",
"content": "So",
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{
"id": 1041689193606287500,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:20:57",
"content": "[-24,0] ?",
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},
{
"id": 1041689222987399200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:21:04",
"content": "👍 Yep",
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},
{
"id": 1041689252846637000,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:21:11",
"content": "Ahh thank you so much",
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},
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"id": 1041689268415897600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "11/14/2022 07:21:15",
"content": "no problem",
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},
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"id": 1041689300368097300,
"author_id": 603983224221466600,
"author_name": "kurtzz69",
"timestamp": "11/14/2022 07:21:22",
"content": ".close",
"attachments": [],
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},
{
"id": 1041689303635480600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 07:21:23",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | b4c8ed83315d4fd8a54b541edbd8609d |
201,587 | [
{
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"timestamp": "11/14/2022 07:51:36",
"content": "Available help channel!",
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"id": 1041697494310068400,
"author_id": 892963296670523500,
"author_name": "kysha",
"timestamp": "11/14/2022 07:53:56",
"content": "15x + 5y ≤ 200\n x+y ≥ 25\n\nare these possible answers right?\n\n**(4, 24)**\n\n15x + 5y ≤ 200\n15 (4) + 5 (24) ≤ 200\n60+120 ≤ 200\n180 ≤200 (satisfied)\n\n**(6,20)**\n\n15x + 5y ≤ 200\n15(6) + 5(20) ≤200\n90+100 ≤ 200\n190 ≤ 200 (satisfied)\n\n**(2, 26)**\n\n15x + 5y ≤ 200\n15(2) + 5(26) ≤ 200\n30 + 130 ≤ 200\n160 ≤ 200 (satisfied)\n\n\n**(2, 32)**\n\n15x + 5y ≤ 200\n15(2) +5(32) ≤ 200\n30 + 160 ≤ 200\n190 ≤ 200 (satisfied)\n\n**(1, 27)**\n\n15x + 5y ≤ 200\n15(1) + 5(27) ≤ 200\n15 + 135 ≤ 200\n150 ≤ 200 (satisfied)",
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"id": 1041697496491114600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 07:53:56",
"content": "Pinned a message.",
"attachments": [],
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"id": 1041699474214494200,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "11/14/2022 08:01:48",
"content": "15x+5y<=200\n3x+y<=40\ny<=-3x+40\n\nnow suppose the function\nf(x)=-3x+40\nall points under this function work",
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{
"id": 1041699600031023200,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "11/14/2022 08:02:18",
"content": "i have not calculated all your points but how you did it was correct",
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"author_name": "kysha",
"timestamp": "11/14/2022 08:04:34",
"content": "okayyyy thankk you very muchhh :catlove:!!!!",
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"timestamp": "11/14/2022 08:19:35",
"content": "@kysha Has your question been resolved?",
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"timestamp": "11/14/2022 08:25:34",
"content": "Channel closed",
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}
] | help-9 | ca08ebced6cd41cda400f16edb708e7b |
201,588 | [
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"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"timestamp": "11/14/2022 09:03:24",
"content": "this is part a but I need help for part b",
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"timestamp": "11/14/2022 09:18:24",
"content": "@Akio Has your question been resolved?",
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"timestamp": "11/14/2022 09:48:30",
"content": "@Akio Has your question been resolved?",
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"timestamp": "11/14/2022 10:18:31",
"content": "Channel closed",
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] | help-9 | b2336af90d3a4df3bccaf4994f051bbb |
201,589 | [
{
"id": 1041734130678902800,
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"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 10:19:31",
"content": "Available help channel!",
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},
{
"id": 1041735054788935700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 10:23:11",
"content": "Pinned a message.",
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"id": 1041735127564300300,
"author_id": 1003577934256279600,
"author_name": "scorpio",
"timestamp": "11/14/2022 10:23:28",
"content": "What does this verification mean??",
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},
{
"id": 1041735199580487800,
"author_id": 1003577934256279600,
"author_name": "scorpio",
"timestamp": "11/14/2022 10:23:46",
"content": "verified??? For what??",
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"id": 1041735284695503000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "11/14/2022 10:24:06",
"content": ":sully:",
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"id": 1041735332128882700,
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"author_name": "Gooaaa",
"timestamp": "11/14/2022 10:24:17",
"content": "how are we supposed to know",
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"author_name": "scorpio",
"timestamp": "11/14/2022 10:24:47",
"content": "I'm sorry this is a strange question ❓",
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"timestamp": "11/14/2022 10:25:08",
"content": "Channel closed",
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}
] | help-9 | 770ea20f700a43c68a9906e4278a0cbf |
201,590 | [
{
"id": 1041735593039765600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "11/14/2022 10:25:19",
"content": ":infty1category:",
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"timestamp": "11/14/2022 10:33:13",
"content": "Available help channel!",
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},
{
"id": 1041738206221176800,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:35:42",
"content": "volume of water in litres is given in t minutes w formula V= t^3-8t / 3t. find volume in t=4",
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"timestamp": "11/14/2022 10:35:43",
"content": "Pinned a message.",
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:36:22",
"content": "2t/3 sorry",
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"author_name": "AtomZ",
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:37:01",
"content": "v(t) = (t^3-8t)/(3t)",
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"id": 1041738569179467900,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:37:09",
"content": "plug in t=4?",
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{
"id": 1041738620203188400,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:37:21",
"content": "i should derivate",
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"id": 1041738627614523500,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:37:23",
"content": "lol",
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{
"id": 1041738686687101000,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/14/2022 10:37:37",
"content": "is it asking for rate of change of volume at t=4?",
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{
"id": 1041738711613841500,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:37:43",
"content": "yes",
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"id": 1041738730186219600,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:37:47",
"content": "oh",
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"id": 1041738791163015200,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:38:02",
"content": "so, am i correct",
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:38:19",
"content": "yeah",
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"id": 1041738923849810000,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:38:34",
"content": "ok, you mind helping me with other stuff",
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"id": 1041738943693078500,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:38:38",
"content": "other exercices",
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"id": 1041738950097764500,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:38:40",
"content": "sure idm",
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:38:59",
"content": "ok, can i send u a dot in dm, so i dont forget your name",
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"id": 1041739055999766500,
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"timestamp": "11/14/2022 10:39:05",
"content": "when i need to mention you",
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"id": 1041739075704594600,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:39:10",
"content": "yeh ok",
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"id": 1041739099087835300,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/14/2022 10:39:15",
"content": "when tho?",
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{
"id": 1041739121024053200,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:39:21",
"content": "today",
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"id": 1041739149725675500,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:39:27",
"content": "oh",
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"id": 1041739193476452400,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:39:38",
"content": "i heading to sleep in like 20 or so mins tho",
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"id": 1041739199218454500,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:39:39",
"content": "im still doing exercices, so pretty soon",
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"id": 1041739214812876900,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:39:43",
"content": "oh",
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"id": 1041739261864587400,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:39:54",
"content": "ok ill still mention you",
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"id": 1041739344744022100,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/14/2022 10:40:14",
"content": "yeah ill see if im awake by then or ill just respond tmr",
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"id": 1041739405305589800,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:40:28",
"content": "ok, sure",
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"id": 1041739698239971500,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:41:38",
"content": "derivative of 5x^3 - 2x^-3 is 15x^2+6x^-4",
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"id": 1041739714484510700,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:41:42",
"content": "@tarzan",
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"id": 1041739843350310900,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:42:13",
"content": "yeh thats right",
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},
{
"id": 1041740298042212400,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:44:01",
"content": "radius of a circle in moment t (seconds) is given w the formula r=20-2√t",
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"id": 1041740356712136700,
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:44:15",
"content": "find the rate of change",
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},
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"id": 1041740373644554200,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:44:19",
"content": "so i derivate ?",
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:44:22",
"content": "@tarzan",
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"id": 1041740400974647400,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/14/2022 10:44:26",
"content": "yup",
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},
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"author_name": "AtomZ",
"timestamp": "11/14/2022 10:45:32",
"content": "",
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:45:56",
"content": "-1/sqrt t",
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},
{
"id": 1041740828915278000,
"author_id": 696699279141765100,
"author_name": "tarzan",
"timestamp": "11/14/2022 10:46:08",
"content": "-2/2=-1",
"attachments": [],
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},
{
"id": 1041740857981817000,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:46:15",
"content": "oh yeea",
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},
{
"id": 1041740930190946300,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:46:32",
"content": "it says find for t=25",
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},
{
"id": 1041740951372189800,
"author_id": 373788243470319600,
"author_name": "AtomZ",
"timestamp": "11/14/2022 10:46:37",
"content": "so i just replace",
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"id": 1041740977586573300,
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"timestamp": "11/14/2022 10:46:43",
"content": "-1/5",
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},
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"id": 1041741096029536400,
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"author_name": "tarzan",
"timestamp": "11/14/2022 10:47:11",
"content": "yeah u got it",
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"content": "@AtomZ Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 78ad5382de59472c95c0c046ce28b83a |
201,591 | [
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"timestamp": "11/14/2022 11:18:47",
"content": "Available help channel!",
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"content": "can someone help me with 7 g,г,е",
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"content": "can't quite see the label can you tell it as which row and which column of 7th",
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"content": "ok",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:24:40",
"content": "for r you can assume x^2 +3x = t and proceed",
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"content": "okay",
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"timestamp": "11/14/2022 11:30:11",
"content": "well i dont have clue how to make that",
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"timestamp": "11/14/2022 11:30:31",
"content": "um let x^2 + 3x = t",
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"timestamp": "11/14/2022 11:30:51",
"content": "sqrt(t) + sqrt(t+4) = 2",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:31:06",
"content": "sqrt(t+4) = 2 - sqrt(t)",
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"timestamp": "11/14/2022 11:31:13",
"content": "squaring both sides",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:32:33",
"content": "t+4 = 4 + t - 4sqrt(t)",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:32:37",
"content": "then you get",
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"timestamp": "11/14/2022 11:32:44",
"content": "sqrt(t) = 0",
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"timestamp": "11/14/2022 11:32:46",
"content": "t=0",
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"timestamp": "11/14/2022 11:32:55",
"content": "x^2 + 3x= 0",
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"timestamp": "11/14/2022 11:33:04",
"content": "x(x+3) = 0",
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"timestamp": "11/14/2022 11:33:09",
"content": "x=0, -3",
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"timestamp": "11/14/2022 11:35:50",
"content": "4sqrt(t) umm it has to be 4.sqrt(t) right",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:36:11",
"content": "uh they are the same",
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"timestamp": "11/14/2022 11:36:36",
"content": "okay",
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"timestamp": "11/14/2022 11:37:30",
"content": "okay i finnished",
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"timestamp": "11/14/2022 11:37:46",
"content": "finished what",
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"timestamp": "11/14/2022 11:37:52",
"content": "x=0, -3",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:38:05",
"content": "so you were copying ?",
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"timestamp": "11/14/2022 11:38:32",
"content": "um copying what",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:39:06",
"content": "let's see hte next question",
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"id": 1041754250901999700,
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"author_name": "Пэшки",
"timestamp": "11/14/2022 11:39:28",
"content": "alright",
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"id": 1041754405004914700,
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"author_name": "Akise",
"timestamp": "11/14/2022 11:40:05",
"content": "part e can be done with the similar procedure with a slight difference",
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"timestamp": "11/14/2022 11:40:09",
"content": "can you do it ?",
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"id": 1041754527637962800,
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"timestamp": "11/14/2022 11:40:34",
"content": "what can you substitute for t such that it removes the x terms",
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"timestamp": "11/14/2022 11:40:34",
"content": "i will try",
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"timestamp": "11/14/2022 11:40:59",
"content": "umm",
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"timestamp": "11/14/2022 11:41:03",
"content": "idk",
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"timestamp": "11/14/2022 11:42:16",
"content": "it's the same method as before",
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"author_name": "Akise",
"timestamp": "11/14/2022 11:42:37",
"content": "what do you see common in both the square roots",
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"timestamp": "11/14/2022 11:43:31",
"content": "wait i will send u a pic",
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"timestamp": "11/14/2022 11:43:36",
"content": "to see if its right",
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"timestamp": "11/14/2022 11:44:43",
"content": "what in God's Green Earth is that",
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"timestamp": "11/14/2022 11:45:15",
"content": "thats the solve ig",
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"timestamp": "11/14/2022 11:45:20",
"content": "lmao",
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"timestamp": "11/14/2022 11:45:50",
"content": "i forgot to write down the task",
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"timestamp": "11/14/2022 11:45:59",
"content": "wai wha i was talking about part e",
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"timestamp": "11/14/2022 11:46:24",
"content": "oul",
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"id": 1041756010001486100,
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"timestamp": "11/14/2022 11:46:27",
"content": "i dont know",
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"id": 1041756044478656600,
"author_id": 581116265155002400,
"author_name": "Пэшки",
"timestamp": "11/14/2022 11:46:35",
"content": "thats why i need help haha",
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"id": 1041756294257852500,
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"author_name": "Akise",
"timestamp": "11/14/2022 11:47:35",
"content": "sqrt(x^2-x-2) + sqrt(3x^2 -3x-2) = 6",
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"id": 1041756402651238400,
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"author_name": "Akise",
"timestamp": "11/14/2022 11:48:01",
"content": "sqrt(x^2-x-2) + sqrt(3(x^2-x) -2) = 6",
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"id": 1041756466803118100,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "11/14/2022 11:48:16",
"content": "DO YOU SEE WHAT'S COMMON NOW",
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"timestamp": "11/14/2022 11:48:40",
"content": "yup",
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"timestamp": "11/14/2022 11:48:59",
"content": "substitute it as t then",
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"id": 1041756873763860500,
"author_id": 581116265155002400,
"author_name": "Пэшки",
"timestamp": "11/14/2022 11:49:53",
"content": "but i was thinking that we are doind g now",
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"id": 1041757083248378000,
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"timestamp": "11/14/2022 11:50:43",
"content": "...",
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"id": 1041757138327969800,
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"timestamp": "11/14/2022 11:50:56",
"content": "you can do g too",
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"timestamp": "11/14/2022 11:51:05",
"content": "find the common part just like this",
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"timestamp": "11/14/2022 11:51:12",
"content": "kk",
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"timestamp": "11/14/2022 11:53:59",
"content": "",
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"timestamp": "11/14/2022 11:54:28",
"content": "is that correct",
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"id": 1041759172208894000,
"author_id": 715875286041886800,
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"timestamp": "11/14/2022 11:59:01",
"content": "yes",
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"id": 1041759217532555300,
"author_id": 581116265155002400,
"author_name": "Пэшки",
"timestamp": "11/14/2022 11:59:12",
"content": "FOR REAL wtf",
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"timestamp": "11/14/2022 12:02:41",
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"id": 1041760669491544000,
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"timestamp": "11/14/2022 12:04:58",
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"timestamp": "11/14/2022 12:05:04",
"content": "but i dont think this is correct",
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"timestamp": "11/14/2022 12:20:05",
"content": "@Пэшки Has your question been resolved?",
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"timestamp": "11/14/2022 12:20:30",
"content": "Channel closed",
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}
] | help-9 | 94f2e67910f246de85465f80531f6b47 |
201,592 | [
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 12:45:15",
"content": "Available help channel!",
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{
"id": 1041770943980257300,
"author_id": 727455440618913800,
"author_name": "qwertyuiopasdfghjklzxcvbnm",
"timestamp": "11/14/2022 12:45:48",
"content": "is C ∩ Q dense in C where C is cantor set?",
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"id": 1041770945846714500,
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"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 12:45:48",
"content": "Pinned a message.",
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"timestamp": "11/14/2022 13:00:48",
"content": "@qwertyuiopasdfghjklzxcvbnm Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 13:32:36",
"content": "@qwertyuiopasdfghjklzxcvbnm Has your question been resolved?",
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{
"id": 1041788817381802000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 13:56:49",
"content": "hang on sorry i pinged but need to think about it again",
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"id": 1041789049444257900,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 13:57:44",
"content": "my answer was not good so don't worry if you missed it",
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"id": 1041789276079259800,
"author_id": 727455440618913800,
"author_name": "qwertyuiopasdfghjklzxcvbnm",
"timestamp": "11/14/2022 13:58:38",
"content": "yeah no worries,thanks",
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},
{
"id": 1041790206149402800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 14:02:20",
"content": "i think yes but don't have proof yet",
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"id": 1041791878938497200,
"author_id": 727455440618913800,
"author_name": "qwertyuiopasdfghjklzxcvbnm",
"timestamp": "11/14/2022 14:08:59",
"content": "i think so too but i also cant prove it",
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"id": 1041806979322106000,
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"timestamp": "11/14/2022 15:08:59",
"content": "@qwertyuiopasdfghjklzxcvbnm Has your question been resolved?",
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"timestamp": "11/14/2022 16:09:00",
"content": "Channel closed",
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}
] | help-9 | ed1dc4a24ebe4e26ba81747b70cfadc4 |
201,593 | [
{
"id": 1041822333226209300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 16:10:00",
"content": "Available help channel!",
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},
{
"id": 1041822497584193700,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:10:39",
"content": "let xn be an increasing sequence",
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},
{
"id": 1041822499580690600,
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"timestamp": "11/14/2022 16:10:40",
"content": "Pinned a message.",
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"id": 1041822526512308200,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:10:46",
"content": "and subsequence xnk converges",
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},
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"id": 1041822561404735600,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:10:54",
"content": "show that xn convergence and lim(xn) = lim(xnk)",
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{
"id": 1041822672109187200,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:11:21",
"content": "this question is pretty straightforward if u simply show that xnk is bounded so xn converges by monotonic convergence thm",
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{
"id": 1041822762378997900,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:11:42",
"content": "i was wondering if i could do something like",
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{
"id": 1041822817886421000,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:11:55",
"content": "xnk converges",
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},
{
"id": 1041822889609023500,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:12:13",
"content": "take the subsequence x(nk)1/k = xn",
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},
{
"id": 1041822949642096800,
"author_id": 300477303476060160,
"author_name": "Zoroaster",
"timestamp": "11/14/2022 16:12:27",
"content": "it sounds rly rly sketchy but why wouldnt it work? 😂",
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"timestamp": "11/14/2022 16:27:27",
"content": "@Zoroaster Has your question been resolved?",
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"id": 1041826912311443500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "11/14/2022 16:28:12",
"content": "that wont be a subsubsequence then",
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"id": 1041827074853314600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "11/14/2022 16:28:50",
"content": "if our subsequence is x_1, x_3, x_5,..., then x_2 isn't in that subsequence",
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"timestamp": "11/14/2022 16:42:28",
"content": "Channel closed",
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}
] | help-9 | 397471d2801043208e954b88a8f26e14 |
201,594 | [
{
"id": 1041831847354716300,
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"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 16:47:48",
"content": "Available help channel!",
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},
{
"id": 1041832207792218200,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:49:14",
"content": "1) In a class of 27 students, 11 are bilingual. A group of 6 students are randomly chosen to be ambassadors to the local elementary schools.\n\n(For the following problems show all work for full marks. Be sure to include any formulas, final statements, etc., as appropriate.)\n\na) What is the probability that exactly 4 of the students chosen are bilingual? Round your answer to the nearest percent.\n\nb) How many bilingual students would you expect to choose?",
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"id": 1041832210443018400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 16:49:15",
"content": "Pinned a message.",
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"id": 1041832265346461800,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:49:28",
"content": "I need some help on this question",
"attachments": [],
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},
{
"id": 1041832605538058200,
"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "11/14/2022 16:50:49",
"content": "(a) You need 4 bilingual and 2 to not be. So, ||(11 choose 4)(16 choose 2)/(27 choose 6)||\n(b) (Bilingual/total)(6 students in the group)",
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{
"id": 1041832721032425500,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:51:17",
"content": "alright",
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},
{
"id": 1041833279218798600,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:53:30",
"content": "whats choose",
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},
{
"id": 1041833467584979100,
"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "11/14/2022 16:54:15",
"content": "$\\binom{n}{k}=\\frac{n!}{k!(n-k)!}$ \\\\ \\\\ For instance, '5 choose 3' would be $\\binom{5}{3}=\\frac{5!}{3!2!}=10$.",
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"id": 1041833481057095800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/14/2022 16:54:18",
"content": "**Civil Service Pigeon**",
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"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:57:08",
"content": "okok",
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},
{
"id": 1041834388217921700,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:57:54",
"content": "do I add anything else",
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"id": 1041834451233148900,
"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "11/14/2022 16:58:09",
"content": "I mean maybe you can explain why the expression is what it is ig?",
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"id": 1041834515024322700,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:58:24",
"content": "okk",
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},
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"id": 1041834528186056800,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:58:27",
"content": "thanks",
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},
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"id": 1041834586625290200,
"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:58:41",
"content": "I have one more question Im stuck on",
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"author_id": 1032668527812943900,
"author_name": "M.A",
"timestamp": "11/14/2022 16:59:03",
"content": "Research has shown that 62% percent of teenagers pass the G2 driver’s test on their first try. Ten teenagers who take the test are randomly surveyed.\n\nWhat is the probability that at least two (2) teenagers passed the G2 test on their first try? Give your answer as a percent rounded to two decimal places.",
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"timestamp": "11/14/2022 17:14:03",
"content": "@M.A Has your question been resolved?",
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"id": 1041840194657189900,
"author_id": 493273699865198600,
"author_name": "Alyssa Blak",
"timestamp": "11/14/2022 17:20:58",
"content": "Have you learnt the binomial distribution formula?",
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"id": 1041841550184939600,
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"author_name": "M.A",
"timestamp": "11/14/2022 17:26:22",
"content": "yes",
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"author_name": "M.A",
"timestamp": "11/14/2022 17:26:38",
"content": "@Alyssa Blak",
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"id": 1041842230475882500,
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"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 17:29:04",
"content": "Channel closed",
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}
] | help-9 | aa6a4ff199df4807a7fbcaaec0987aae |
201,595 | [
{
"id": 1032825958387949600,
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 21:21:37",
"content": "Available help channel!",
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},
{
"id": 1032826258255511600,
"author_id": 325628761775013900,
"author_name": "JoshGosh",
"timestamp": "10/20/2022 21:22:48",
"content": "can someone explain how does this prove that A is a subset of B",
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"timestamp": "10/20/2022 21:22:49",
"content": "Pinned a message.",
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"author_id": 325628761775013900,
"author_name": "JoshGosh",
"timestamp": "10/20/2022 21:26:02",
"content": "cause if the set B is sin (n)<=1, it means it also B can be sin(n) = -1 right",
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"id": 1032827141366231000,
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"author_name": "JoshGosh",
"timestamp": "10/20/2022 21:26:19",
"content": "but as A is sin(n)>0",
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"timestamp": "10/20/2022 21:26:58",
"content": ".close",
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"timestamp": "10/20/2022 21:26:59",
"content": "Channel closed",
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] | help-9 | 5692633032ff479f8964c246c89f6b03 |
201,596 | [
{
"id": 1033581384171782100,
"author_id": 807475848714256400,
"author_name": "The golden fish",
"timestamp": "10/22/2022 23:23:25",
"content": "you uust subtract the constant",
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},
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"id": 1033591875459874800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 00:05:06",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1033592351240765600,
"author_id": 445100745037971460,
"author_name": "ckoll",
"timestamp": "10/23/2022 00:06:59",
"content": "In fraction I still dont understand how to divide lower numbers with higher divisors",
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},
{
"id": 1033592353220472800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 00:07:00",
"content": "Pinned a message.",
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"id": 1033592410304938000,
"author_id": 445100745037971460,
"author_name": "ckoll",
"timestamp": "10/23/2022 00:07:13",
"content": "like 4/8, could someone teach me?",
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},
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"id": 1033592470577090600,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "10/23/2022 00:07:28",
"content": "you see if both of numberator and denominator have a common factir",
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"id": 1033592508720099300,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "10/23/2022 00:07:37",
"content": "and divide them both by said common factor if yes",
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"id": 1033592770323030100,
"author_id": 912969666295627800,
"author_name": "n11",
"timestamp": "10/23/2022 00:08:39",
"content": "In case of $\\frac{4}{8}$, we have common factors $2$, and $4$.\nDividing both by $2$ we get $\\frac{2}{4}$, or dividing both by $4$ we get $\\frac{1}{2}$",
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"id": 1033592782935310300,
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"author_name": "TeXit",
"timestamp": "10/23/2022 00:08:42",
"content": "**n11**",
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"author_name": "Circle",
"timestamp": "10/23/2022 00:09:13",
"content": "$\\frac48 = \\frac{2*2}{2*2*2}$",
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"timestamp": "10/23/2022 00:09:15",
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"timestamp": "10/23/2022 00:09:17",
"content": "I see now, but does odd numbers and numbers without gcf still divisible?",
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"timestamp": "10/23/2022 00:09:28",
"content": "they're not divisible",
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"timestamp": "10/23/2022 00:09:39",
"content": "we just reduced the fraction to its simplest form",
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"timestamp": "10/23/2022 00:09:44",
"content": "$\\frac49 = \\frac{2*2}{3*3}$",
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"timestamp": "10/23/2022 00:09:51",
"content": "shohld we divide further we'll get a decimal expansion",
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"timestamp": "10/23/2022 00:10:02",
"content": "something like this u cant simplify further",
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"timestamp": "10/23/2022 00:10:06",
"content": "cuz no common factors",
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"timestamp": "10/23/2022 00:10:07",
"content": "yeah could you show me that?",
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"timestamp": "10/23/2022 00:10:27",
"content": "I see, so Im just gonna leave it like that?",
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"content": "$\\frac{1}{2}=\\frac{0.5}{1}=0.5$",
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"timestamp": "10/23/2022 00:10:36",
"content": "**n11**",
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"timestamp": "10/23/2022 00:10:37",
"content": "well as 4/9",
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"timestamp": "10/23/2022 00:10:38",
"content": "Like this",
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"timestamp": "10/23/2022 00:10:45",
"content": "that works too",
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"timestamp": "10/23/2022 00:11:00",
"content": "otherwise we just leave it as a fraction",
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"timestamp": "10/23/2022 00:11:06",
"content": "which works better",
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"timestamp": "10/23/2022 00:11:09",
"content": "wait wrong person lol why did i ping what u did D:",
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"timestamp": "10/23/2022 00:11:27",
"content": "ok thanks alot guys, im gonna finish my homework now",
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"content": ".close",
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"timestamp": "10/23/2022 00:11:30",
"content": "Channel closed",
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] | help-9 | 7f86d36155b5474f93233eabbf8c7b66 |
201,597 | [
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"timestamp": "11/14/2022 17:30:04",
"content": "Available help channel!",
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"content": "try it with some small n by hand",
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] | help-9 | 27bdb790f4794f8081a7b1f93ed0c8d4 |
201,598 | [
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"author_name": "Darth_Vafer",
"timestamp": "11/14/2022 17:57:13",
"content": "hi, I have some problems with this limit.",
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"author_name": "iCaird",
"timestamp": "11/14/2022 18:09:05",
"content": "Divide top and bottom by x",
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"author_name": "iCaird",
"timestamp": "11/14/2022 18:09:22",
"content": "Pass the 1/x you divided by on the bottom into the square roots",
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"timestamp": "11/14/2022 18:13:43",
"content": "ok I try",
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"author_name": "Darth_Vafer",
"timestamp": "11/14/2022 18:13:57",
"content": "I'm not sure I understood, but I try",
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"timestamp": "11/14/2022 18:23:23",
"content": "sorry I can't understand",
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"timestamp": "11/14/2022 18:23:38",
"content": "I did what you said but I returnet back to the previous situation",
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"timestamp": "11/14/2022 18:24:02",
"content": "∞/∞",
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"author_name": "Darth_Vafer",
"timestamp": "11/14/2022 18:26:20",
"content": "when I divide both members by x, on the top I have (x-2)/x\nAnd on the bottom I have 1/x * (√[...] + √[...])",
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"timestamp": "11/14/2022 18:26:23",
"content": "and then?",
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"timestamp": "11/14/2022 18:41:23",
"content": "@Darth_Vafer Has your question been resolved?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 19:16:04",
"content": "lmaoo the artwork",
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"timestamp": "11/14/2022 19:22:37",
"content": "ahahahah\nI had some fun to overcome despair ahahahah",
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"timestamp": "11/14/2022 19:52:37",
"content": "@Darth_Vafer Has your question been resolved?",
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] | help-9 | 3c5ea3c2eea54aa88491d13e0158f9f7 |
201,599 | [
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"content": "Available help channel!",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:27:59",
"content": "Can someone help me out? Translation is: Find an \"f(x)\" function that verifies the equation",
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"id": 1041887334272094300,
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"timestamp": "11/14/2022 20:28:17",
"content": "this is what I did so far but feels completely wrong",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:28:50",
"content": "tried to integrate by parts",
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"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 20:31:56",
"content": "Differentiate both sides",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:34:05",
"content": "if I differentiate left side i'd just have to erase the integration right?",
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"timestamp": "11/14/2022 20:34:23",
"content": "Yup",
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"id": 1041889625326751700,
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:37:24",
"content": "differentiating f(x) would make it \"1\"?",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:38:16",
"content": "the purpose of differentiating both sides was to remain with just one f(x)? (the one on the left)?",
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"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 20:38:33",
"content": "No derivative of f(x)is f'(x)",
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"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 20:38:43",
"content": "Show your work",
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"timestamp": "11/14/2022 20:38:45",
"content": "fuvk",
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"id": 1041889975853129900,
"author_id": 270647215066841100,
"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:38:47",
"content": "implicit",
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"id": 1041889986208866400,
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:38:50",
"content": "aight in a sec",
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"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 20:43:05",
"content": "You can factor out the e^x",
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"timestamp": "11/14/2022 20:43:08",
"content": "On the right",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:43:37",
"content": "And I divide e^ from both sides afterwards",
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"timestamp": "11/14/2022 20:43:46",
"content": "Sure",
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"content": "",
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"timestamp": "11/14/2022 20:45:39",
"content": "Do I solve f'(x)?",
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"timestamp": "11/14/2022 20:46:22",
"content": "Yes, you can subtract the f(x)",
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"timestamp": "11/14/2022 20:47:53",
"content": "wow",
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"id": 1041892288621715500,
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:47:59",
"content": "Was that it?",
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"id": 1041892655614927000,
"author_id": 270647215066841100,
"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:49:26",
"content": "I kinda feel like an idiot",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:51:24",
"content": "no wait it asks for f(x)",
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 20:51:30",
"content": "do I integrate now?",
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"id": 1041896445441212400,
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"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 21:04:30",
"content": "Yes",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 21:04:37",
"content": "Sorry for the late respibse",
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"id": 1041896496615923700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 21:04:42",
"content": "respinse*",
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},
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 21:04:46",
"content": "response*",
"attachments": [],
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},
{
"id": 1041897696434344000,
"author_id": 270647215066841100,
"author_name": "Alvaro_",
"timestamp": "11/14/2022 21:09:28",
"content": "its ok went for dinner",
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},
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"id": 1041898739712917500,
"author_id": 270647215066841100,
"author_name": "Alvaro_",
"timestamp": "11/14/2022 21:13:37",
"content": "I must be making a mistake",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 21:28:37",
"content": "@Alvaro_ Has your question been resolved?",
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"id": 1041902892807893100,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 21:30:07",
"content": "Remember that the integral of 1/x=lnx",
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"author_name": "GarlicBredFries",
"timestamp": "11/14/2022 21:30:11",
"content": "@Alvaro_",
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"id": 1041904536761139300,
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"author_name": "Alvaro_",
"timestamp": "11/14/2022 21:36:39",
"content": "right",
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},
{
"id": 1041904565714440300,
"author_id": 270647215066841100,
"author_name": "Alvaro_",
"timestamp": "11/14/2022 21:36:46",
"content": "man im not thinking straight",
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"id": 1041905105055797400,
"author_id": 270647215066841100,
"author_name": "Alvaro_",
"timestamp": "11/14/2022 21:38:54",
"content": "That'll do",
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"timestamp": "11/14/2022 21:43:38",
"content": "Channel closed",
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] | help-9 | d576690ce0404baa8d7f1ae4c3d512c8 |
201,600 | [
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"content": "Available help channel!",
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},
{
"id": 1041920433735352300,
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"timestamp": "11/14/2022 22:39:49",
"content": "Hi",
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},
{
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"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"timestamp": "11/14/2022 22:40:48",
"content": "How would you explain this image mathematicaly",
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"content": "?",
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{
"id": 1041920739617554600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 22:41:02",
"content": "is this a serious question",
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"id": 1041920887756169200,
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"timestamp": "11/14/2022 22:41:37",
"content": "Yes",
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},
{
"id": 1041920946145087500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:41:51",
"content": "No it's not",
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"id": 1041920981326909600,
"author_id": 891892752105746400,
"author_name": "Steve Harvey",
"timestamp": "11/14/2022 22:41:59",
"content": "It is",
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"id": 1041921084561313800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:42:24",
"content": "Then show us the assignment instructions",
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{
"id": 1041921274248691700,
"author_id": 891892752105746400,
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"timestamp": "11/14/2022 22:43:09",
"content": "Chapters 3, 2, 10",
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},
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"id": 1041921334822842500,
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"author_name": "dldh06",
"timestamp": "11/14/2022 22:43:24",
"content": "That's not the assignment instructions",
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"id": 1041921388975497300,
"author_id": 891892752105746400,
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"timestamp": "11/14/2022 22:43:37",
"content": "It is",
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"id": 1041921441320419300,
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"timestamp": "11/14/2022 22:43:49",
"content": "Using fractions",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:44:10",
"content": ".close",
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"id": 1041921532806574100,
"author_id": 805217272087838700,
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"timestamp": "11/14/2022 22:44:11",
"content": "Channel closed",
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] | help-9 | 7996c9917ef7498eb61b367fcddb32b7 |
201,601 | [
{
"id": 1041921632693911600,
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"author_name": "Steve Harvey",
"timestamp": "11/14/2022 22:44:35",
"content": "Hey",
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"id": 1041921678931931300,
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"author_name": "Steve Harvey",
"timestamp": "11/14/2022 22:44:46",
"content": "Hey hey hey",
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"author_id": 877944036395212800,
"author_name": "miky",
"timestamp": "11/14/2022 22:45:25",
"content": "V = 4/3 pi r^2",
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"id": 1041922014652412000,
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"timestamp": "11/14/2022 22:46:06",
"content": "Is that the real answer?",
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"id": 1041922071917248600,
"author_id": 891892752105746400,
"author_name": "Steve Harvey",
"timestamp": "11/14/2022 22:46:19",
"content": "Or something you made up?",
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{
"id": 1041922359080263700,
"author_id": 528155325656858600,
"author_name": "Moataz",
"timestamp": "11/14/2022 22:47:28",
"content": "Was that a serious question?\nOr something you made up?\n:bleak:",
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"timestamp": "11/14/2022 22:47:50",
"content": "Serious",
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"id": 1041922492912107500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:48:00",
"content": "Doubt it",
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},
{
"id": 1041922515674611700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:48:05",
"content": "Post the assignment instructions",
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},
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"id": 1041922555801514100,
"author_id": 891892752105746400,
"author_name": "Steve Harvey",
"timestamp": "11/14/2022 22:48:15",
"content": "What makes it not serious?",
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"id": 1041922664022945800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:48:41",
"content": "Everything",
"attachments": [],
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},
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"id": 1041922716598546400,
"author_id": 891892752105746400,
"author_name": "Steve Harvey",
"timestamp": "11/14/2022 22:48:53",
"content": "More specific",
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},
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"id": 1041922867308281900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 22:49:29",
"content": "You sent an image with zero context and instructions",
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"id": 1041922930247999500,
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"timestamp": "11/14/2022 22:49:44",
"content": "Ok",
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},
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"id": 1041928811593347200,
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"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 23:13:06",
"content": "Available help channel!",
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},
{
"id": 1041930043594657800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/14/2022 23:18:00",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1041930096497397800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:18:13",
"content": "Bro",
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},
{
"id": 1041930123248672900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:18:19",
"content": "Send ur question",
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"id": 1041930147307208800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "11/14/2022 23:18:25",
"content": "No \\s",
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},
{
"id": 1041930299275235300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:19:01",
"content": "Ok",
"attachments": [],
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},
{
"id": 1041930335627268100,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:19:10",
"content": "Leading term means highest degree term",
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{
"id": 1041930370444185600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:19:18",
"content": "Do u know how to find that?",
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},
{
"id": 1041930448454033400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:19:37",
"content": "No it would not",
"attachments": [],
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},
{
"id": 1041930460311330800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:19:39",
"content": "What it means is",
"attachments": [],
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"reference": null
},
{
"id": 1041930642256052200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:20:23",
"content": "When u simplify everything, and all the dust settles, you will have a bunch of terms of different degrees, like a 5x^3 and a 9x^2 and what not",
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},
{
"id": 1041930806773420000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:21:02",
"content": "In my case, 5x^3 is the leading term because its x has the highest power,",
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{
"id": 1041930953922191400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:21:37",
"content": "That’s what i mean by degree. X^3 has a higher degree than x^2 does",
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{
"id": 1041930988973985800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:21:45",
"content": "Ok anyways",
"attachments": [],
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},
{
"id": 1041931035925041200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:21:57",
"content": "In order to find the highest degree, after simplifying",
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},
{
"id": 1041931082171437000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:22:08",
"content": "You only have to multiply the terms that have x’s in them",
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},
{
"id": 1041931100123037800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:22:12",
"content": "Ignore everything else",
"attachments": [],
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},
{
"id": 1041931125410500600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:22:18",
"content": "Wait",
"attachments": [],
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},
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"id": 1041931376758358000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/14/2022 23:23:18",
"content": "The highest term will come from multiplying -4/7 and x^14 and x^2 and x",
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"author_name": "Senoune",
"timestamp": "11/14/2022 23:23:37",
"content": "I think highest degree would be lets say 9x^2+5x^3 then highest degree is 3",
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"timestamp": "11/14/2022 23:24:42",
"content": "I think 5x^3",
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"timestamp": "11/14/2022 23:26:42",
"content": "well in my example it would be 5x^3",
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"author_name": "Senoune",
"timestamp": "11/14/2022 23:26:55",
"content": "what answer did you enter",
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"id": 1041932316240527400,
"author_id": 910156963181101000,
"author_name": "Galm_1",
"timestamp": "11/14/2022 23:27:02",
"content": "No",
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"id": 1041932390194499700,
"author_id": 910156963181101000,
"author_name": "Galm_1",
"timestamp": "11/14/2022 23:27:19",
"content": "Ah you just forgot the x",
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"author_id": 910156963181101000,
"author_name": "Galm_1",
"timestamp": "11/14/2022 23:27:21",
"content": "My bad",
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"id": 1041932405168156800,
"author_id": 954197702915280900,
"author_name": "asuna",
"timestamp": "11/14/2022 23:27:23",
"content": "Need help pls send link to my channel",
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"id": 1041932448671482000,
"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:27:33",
"content": "#help-34",
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"id": 1041932550798590100,
"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:27:58",
"content": "lol",
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"id": 1041932604116582400,
"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:28:10",
"content": "nono",
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"id": 1041932621812342800,
"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:28:15",
"content": "the other person",
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"id": 1041932634047135900,
"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:28:18",
"content": "he asked for a channel",
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"id": 1041932778117275600,
"author_id": 754607106631401500,
"author_name": "qojo",
"timestamp": "11/14/2022 23:28:52",
"content": "i got 1 more problem after this and thats all",
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"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:29:23",
"content": "did you learn about the concept of limit?",
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"author_id": 322146009180405760,
"author_name": "Senoune",
"timestamp": "11/14/2022 23:32:35",
"content": "for b and c i guess you could try to draw the graph but I'm really not sure without using the limit",
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"id": 1041934356152852500,
"author_id": 352770255497461760,
"author_name": "Nya",
"timestamp": "11/14/2022 23:35:08",
"content": "i guess you could try replacing x with infinity as you won't get any indeterminate forms?",
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"id": 1041935026239049700,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 23:37:48",
"content": "that would be ok",
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"id": 1041935921307717600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 23:41:21",
"content": "also: as x gets bigger, x^2 gets bigger without bound, and 6-8x^3 is a large negative number",
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"id": 1041936169153339400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 23:42:20",
"content": "so as x gets bigger, x^2(6-8x^3) becomes arbitrarily large and negative",
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"id": 1041936619114070000,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/14/2022 23:44:08",
"content": "now i gotta wonder what's up with these labels but part (b) v2 is similar",
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"timestamp": "11/15/2022 00:08:38",
"content": "@qojo Has your question been resolved?",
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"timestamp": "11/15/2022 00:41:42",
"content": "@qojo Has your question been resolved?",
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"timestamp": "11/15/2022 00:53:56",
"content": "Channel closed",
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}
] | help-9 | 482d8e0b4a26441cacaba8cc882d4296 |
201,602 | [
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"content": "Available help channel!",
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"id": 1041956332762312700,
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"author_name": "lnh_8",
"timestamp": "11/15/2022 01:02:28",
"content": "$\\overline{\\overline{A} \\cap B} $",
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"timestamp": "11/15/2022 01:02:28",
"content": "Pinned a message.",
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"timestamp": "11/15/2022 01:02:41",
"content": "my bad",
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"id": 1041956394825433100,
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"timestamp": "11/15/2022 01:02:43",
"content": "latex",
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"author_name": "lnh_8",
"timestamp": "11/15/2022 01:03:00",
"content": "$$\\overline{\\overline{A} \\cap B} $$",
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"id": 1041956479403573200,
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"author_name": "TeXit",
"timestamp": "11/15/2022 01:03:03",
"content": "**lnh\\_8**",
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"author_name": "lnh_8",
"timestamp": "11/15/2022 01:03:18",
"content": "I was given the universal set of A and B is U",
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"author_name": "lnh_8",
"timestamp": "11/15/2022 01:03:50",
"content": "But i was not given the unversal set of $$\\overline{A} \\cap B $$",
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"timestamp": "11/15/2022 01:03:52",
"content": "**lnh\\_8**",
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"timestamp": "11/15/2022 01:04:08",
"content": "So does that mean this equal an empty set",
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"timestamp": "11/15/2022 01:19:08",
"content": "@lnh_8 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 078a80cb3bad4df991bfa58914767ca8 |
201,603 | [
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"content": "Available help channel!",
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{
"id": 1041964750201950200,
"author_id": 234592020075773950,
"author_name": "Qud",
"timestamp": "11/15/2022 01:35:55",
"content": "I need help finding the limits of integration for this problem",
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"content": "Pinned a message.",
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"author_name": "Qud",
"timestamp": "11/15/2022 01:36:35",
"content": "Is it saying to evaluate from 3 to 7?",
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"id": 1041965048802848800,
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"author_name": "Qud",
"timestamp": "11/15/2022 01:37:06",
"content": "since x is less than or equal to 0 that means it is the left side of the circle right?",
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"id": 1041965108391313400,
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"author_name": "Qud",
"timestamp": "11/15/2022 01:37:20",
"content": "So would it instead be from -7 to -3? for the radius",
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"author_name": "Kurt",
"timestamp": "11/15/2022 01:38:16",
"content": "can you do change of variables?",
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"id": 1041965564169572400,
"author_id": 234592020075773950,
"author_name": "Qud",
"timestamp": "11/15/2022 01:39:09",
"content": "Like change the equation into r?",
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"author_name": "monikanicity",
"timestamp": "11/15/2022 01:39:18",
"content": "I'd probably recommend r from 3 to 7",
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"id": 1041965633677557800,
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"author_name": "monikanicity",
"timestamp": "11/15/2022 01:39:25",
"content": "theta from pi/2 to 3pi/2",
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"id": 1041965672621682800,
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"author_name": "monikanicity",
"timestamp": "11/15/2022 01:39:35",
"content": "rather than using negative radius",
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"id": 1041965701889536000,
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"author_name": "Qud",
"timestamp": "11/15/2022 01:39:42",
"content": "what is the x<0 then",
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"author_name": "monikanicity",
"timestamp": "11/15/2022 01:40:29",
"content": "think about what the region 3<r<7, pi/2 < theta < 3pi/2 looks like",
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"timestamp": "11/15/2022 01:40:33",
"content": "or draw it out",
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"timestamp": "11/15/2022 01:43:11",
"content": "Ok I got it now. Thanks",
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"timestamp": "11/15/2022 01:43:14",
"content": ".close",
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] | help-9 | 42dcabd6e0264292b633b645921d6b94 |
201,604 | [
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"timestamp": "11/15/2022 02:22:23",
"content": "pls help me simplify this",
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"author_name": "Deol",
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"content": "What have you tried?",
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"content": "@Hakosh Has your question been resolved?",
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] | help-9 | ce50cd9209e1430696fe53a48789b44b |
201,605 | [
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"content": "Available help channel!",
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},
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"author_id": 723503994525450200,
"author_name": "MαяιA",
"timestamp": "11/15/2022 06:33:38",
"content": "What is the number of edges in a bipartite graph?\nI know that the number of edges for a complete graph is n(n-1)/2, but in a bipartite graph I have more restrictions but I don't know how to apply that restrictions to the formula. \nAlso, what is the number of edges is a graph allow loops?",
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"timestamp": "11/15/2022 06:48:38",
"content": "@MαяιA Has your question been resolved?",
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"timestamp": "11/15/2022 06:49:26",
"content": "@Helpers",
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"timestamp": "11/15/2022 07:19:26",
"content": "@MαяιA Has your question been resolved?",
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"timestamp": "11/15/2022 07:33:27",
"content": ".close",
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] | help-9 | 39c0265463f643ccaf0badb6b12b22a9 |
201,606 | [
{
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},
{
"id": 1042055386322182100,
"author_id": 383010220604915800,
"author_name": "frog",
"timestamp": "11/15/2022 07:36:04",
"content": "Determine the shadow of the curve y = x2-3 which reflected against the X-axis followed by the 3rd scale factor with the center (3.-2)",
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"timestamp": "11/15/2022 07:36:06",
"content": "im lost",
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"author_id": 1024640995784130600,
"author_name": "OceanBro",
"timestamp": "11/15/2022 07:46:43",
"content": "\"shadow\" ?",
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"content": "@frog Has your question been resolved?",
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"author_name": "OceanBro",
"timestamp": "11/15/2022 07:58:13",
"content": "@frog I think your question might be an inequality ?",
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"id": 1042060986171011200,
"author_id": 1024640995784130600,
"author_name": "OceanBro",
"timestamp": "11/15/2022 07:58:19",
"content": "are you sure it's \"=\"",
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"author_id": 1024640995784130600,
"author_name": "OceanBro",
"timestamp": "11/15/2022 07:58:29",
"content": "And not > or <",
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] | help-9 | 366e3736dff147fd9e1cc0a22035f01f |
201,607 | [
{
"id": 1033593950390464600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 00:13:21",
"content": "💕",
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{
"id": 1033594881924403300,
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"content": "Available help channel!",
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},
{
"id": 1033595188662239200,
"author_id": 472719801526255600,
"author_name": "Flamezord211",
"timestamp": "10/23/2022 00:18:16",
"content": "can the answer also be \nC1e^3x + C2e^(-1/2)",
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"id": 1033595640820814000,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "10/23/2022 00:20:04",
"content": "Yes. The order of c_1 and c_2 arbitrary constants doesn’t matter.",
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"timestamp": "10/23/2022 00:23:05",
"content": "thanks",
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"author_id": 472719801526255600,
"author_name": "Flamezord211",
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"content": ".close",
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] | help-9 | 1518dcc3a2c84aac95d1b4052e1c718c |
201,608 | [
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"author_id": 565995803835891700,
"author_name": "OctopusToy",
"timestamp": "11/15/2022 08:47:15",
"content": "In linear algebra, lets say I have a plane like x+y+z=1 , I know how to specify a point and check that is in the plane. So I can make a vector in the plane. (parallel to the plane). Now how can I define an orthogonal vector to the other in the plane?",
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"author_name": "OctopusToy",
"timestamp": "11/15/2022 08:49:33",
"content": "I tried making a system of equations with dot product and the plane, seem like it wont work",
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"author_name": "OctopusToy",
"timestamp": "11/15/2022 08:52:56",
"content": "will it be the cross product between the planes normal vector and the vector in the plan? Does it make sense?",
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"id": 1042075678872457200,
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"author_name": "OctopusToy",
"timestamp": "11/15/2022 08:56:42",
"content": "can you do it it in 2d with only 2d vectors and then apply it on a plane?",
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"id": 1042077596139126800,
"author_id": 972922044998099100,
"author_name": "polpofreddo",
"timestamp": "11/15/2022 09:04:19",
"content": "Are you trying to figure out the vector perpendicular to the plane?",
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"timestamp": "11/15/2022 09:11:42",
"content": "@OctopusToy Has your question been resolved?",
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"author_name": "OctopusToy",
"timestamp": "11/15/2022 09:11:50",
"content": "No, that would be the normal vector? in the plane, so parallel to the plane. So want the base in the plane. ON base",
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"id": 1042080210113274000,
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"author_name": "OctopusToy",
"timestamp": "11/15/2022 09:14:43",
"content": "Im talking about this https://en.wikipedia.org/wiki/Orthonormal_basis In a plane",
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"content": "@OctopusToy Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 9d2c39dd16ba4a788ba9be007e0dc6a6 |
201,609 | [
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"id": 1042097586653376600,
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"timestamp": "11/15/2022 10:23:45",
"content": "Is this right?",
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"content": "Pinned a message.",
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"timestamp": "11/15/2022 10:31:39",
"content": "Yes",
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"content": "@dipperid Has your question been resolved?",
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] | help-9 | e547d87211714873acdd237b827d4d5c |
201,610 | [
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"content": "Available help channel!",
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{
"id": 1042102175284859000,
"author_id": 825606408350466000,
"author_name": "YungKula",
"timestamp": "11/15/2022 10:41:59",
"content": "Can i get help on an optimization problem",
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"id": 1042102178082467800,
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"timestamp": "11/15/2022 10:42:00",
"content": "Pinned a message.",
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"id": 1042102623731454100,
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"timestamp": "11/15/2022 10:43:46",
"content": "sure",
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"timestamp": "11/15/2022 10:57:00",
"content": "@YungKula Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | d120e74192bb43288c96aeef33333ea4 |
201,611 | [
{
"id": 1042119705164529800,
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"timestamp": "11/15/2022 11:51:39",
"content": "Available help channel!",
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},
{
"id": 1042119729369854100,
"author_id": 388789993084026900,
"author_name": "Quack",
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"id": 1042119784516567000,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:51:58",
"content": "when taking the complex conjugate",
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{
"id": 1042119826690281600,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:52:08",
"content": "why isnt the first term turn into a positive",
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{
"id": 1042119831677304800,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:52:09",
"content": "?",
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{
"id": 1042119966859739100,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/15/2022 11:52:41",
"content": "e^(-ax^2) is a real number (for real x)",
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{
"id": 1042120088964313200,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:53:10",
"content": "how do u know x is real",
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},
{
"id": 1042120090621059100,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:53:11",
"content": "?",
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},
{
"id": 1042120162872144000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/15/2022 11:53:28",
"content": "I'm not implying that",
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},
{
"id": 1042120184565084300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/15/2022 11:53:33",
"content": "How is x defined?",
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},
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"id": 1042120261979353200,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:53:52",
"content": "",
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"id": 1042120290282520700,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:53:58",
"content": "well here is the acc question",
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{
"id": 1042120518754652300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/15/2022 11:54:53",
"content": "\"(all quantities are real unless otherwise stated)\"",
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},
{
"id": 1042120601491480700,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:55:13",
"content": "so why isnt E real?",
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},
{
"id": 1042120653723148400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/15/2022 11:55:25",
"content": "E is real, iE is not",
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},
{
"id": 1042120699432665200,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:55:36",
"content": "ohh",
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},
{
"id": 1042120726758572200,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:55:42",
"content": "so if the term includes i",
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},
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"id": 1042120759037927600,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:55:50",
"content": "it isnt real",
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},
{
"id": 1042120760891801600,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:55:51",
"content": "?",
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},
{
"id": 1042120842122887200,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/15/2022 11:56:10",
"content": "Yeah multiplying a real number by i makes it no longer real",
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},
{
"id": 1042120860032577500,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:56:14",
"content": "thank u sm that makes a lot more sense now",
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},
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"id": 1042120875232739300,
"author_id": 388789993084026900,
"author_name": "Quack",
"timestamp": "11/15/2022 11:56:18",
"content": "i really appreciate it",
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},
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] | help-9 | 02e8c5179bb14755902e9bf77b9663ca |
201,612 | [
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201,613 | [
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"content": "@shinraaaa Has your question been resolved?",
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] | help-9 | 03fbc96e846c427fb019254d2c0ce238 |
201,614 | [
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"author_name": "Poor",
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"content": "how would i complete this?",
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"author_name": "Chron",
"timestamp": "11/15/2022 13:19:28",
"content": "For each charity, get the average for the 3 years. Then divide it by 12 (months). This way you get the average monthly donations for each charity.",
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"content": "which one would it be",
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"content": "@Poor Has your question been resolved?",
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] | help-9 | 2a23e843888e44f181710e1887ff8f08 |
201,615 | [
{
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"author_name": "Rijad",
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"content": "x+y+z = 0, xyz = -7, evaluate (x+y)(y+z)(z+x)",
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"id": 1042152767013269600,
"author_id": 606107927278780500,
"author_name": "superpro",
"timestamp": "11/15/2022 14:03:01",
"content": "multiply all the brackets with each other",
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"id": 1042152819920207900,
"author_id": 831156479226544100,
"author_name": "Rijad",
"timestamp": "11/15/2022 14:03:14",
"content": "then?",
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"author_name": "moonside",
"timestamp": "11/15/2022 14:03:14",
"content": "@Rijad the long way is to try to \"FOIL\"/multiply this out, the short way is to try to use your first equation to replace the expressions in each of the parentheses with simpler expressions",
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"timestamp": "11/15/2022 14:03:21",
"content": "and then do substitution",
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"author_name": "Rijad",
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"content": "i hate to ask, but can you show how?",
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"timestamp": "11/15/2022 14:03:41",
"content": "or maybe that's a better way of explaining it lol",
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"author_name": "moonside",
"timestamp": "11/15/2022 14:04:06",
"content": "@Rijad... for example what does the first equation tell you that x+y is also equal to",
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"id": 1042153107922112500,
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"timestamp": "11/15/2022 14:04:23",
"content": "-z",
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"id": 1042153117900349600,
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"author_name": "moonside",
"timestamp": "11/15/2022 14:04:25",
"content": "good",
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"id": 1042153151874224100,
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"author_name": "Rijad",
"timestamp": "11/15/2022 14:04:33",
"content": "so i should write down those",
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"author_name": "moonside",
"timestamp": "11/15/2022 14:04:36",
"content": "replace it with that in the first parentheses. do the same for the rest",
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"id": 1042153213266251800,
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"author_name": "moonside",
"timestamp": "11/15/2022 14:04:48",
"content": "and you will get a simple expression you can then use the second equation to evaluate",
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"id": 1042153229716299800,
"author_id": 831156479226544100,
"author_name": "Rijad",
"timestamp": "11/15/2022 14:04:52",
"content": "ok",
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"id": 1042153242982891600,
"author_id": 831156479226544100,
"author_name": "Rijad",
"timestamp": "11/15/2022 14:04:55",
"content": "im gonna try brb",
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"id": 1042153305754828900,
"author_id": 446872207444934660,
"author_name": "moonside",
"timestamp": "11/15/2022 14:05:10",
"content": "good GOOD GOOOOOOOUUUDAAAA CHEEEESSSEEE",
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"id": 1042153370670075900,
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"author_name": "Rijad",
"timestamp": "11/15/2022 14:05:25",
"content": "i got -z times -x times -y",
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"id": 1042153396582498300,
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"author_name": "Rijad",
"timestamp": "11/15/2022 14:05:32",
"content": "so is that opposite of -7?",
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"id": 1042153408158781400,
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"timestamp": "11/15/2022 14:05:34",
"content": "so 7",
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"id": 1042153456716234800,
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"author_name": "Rijad",
"timestamp": "11/15/2022 14:05:46",
"content": "yo thanks man",
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"author_name": "Rijad",
"timestamp": "11/15/2022 14:05:59",
"content": "how did i struggle on this",
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"id": 1042153534143086600,
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"content": "tysm",
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"author_name": "Rijad",
"timestamp": "11/15/2022 14:06:20",
"content": ".close",
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] | help-9 | a67066edb0174d65ba60e2577d445662 |
201,616 | [
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"content": "you are welcome little @Rijad my prince",
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{
"id": 1042153942865416300,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:07:42",
"content": "What is The lowest common denominator for \n(n+3) and (n^2 + 3n + 2)",
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"content": "Pinned a message.",
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"timestamp": "11/15/2022 14:08:51",
"content": "factor n^2+3n+2",
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"id": 1042155054750245000,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:12:07",
"content": "(n+2)(n+1)",
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"id": 1042155632813412400,
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"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:14:25",
"content": ":eeveeThink:",
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"id": 1042156125090488300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/15/2022 14:16:22",
"content": "notice (n+3) and (n+2)(n+1) don't have common factors",
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"id": 1042156819335872600,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:19:08",
"content": "ok?",
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"id": 1042157167823831200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/15/2022 14:20:31",
"content": "if two numbers don't have common factors, what's the lowest common denominator?",
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"id": 1042157190720532600,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:20:36",
"content": "1",
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"id": 1042157322295853000,
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"timestamp": "11/15/2022 14:21:07",
"content": "no that's the greatest common divisor",
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"id": 1042157459726409900,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:21:40",
"content": "can you give example with 2 numbers",
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"id": 1042157988246466600,
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"timestamp": "11/15/2022 14:23:46",
"content": "sure set n = 1",
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"id": 1042158054000562200,
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"author_name": "riemann",
"timestamp": "11/15/2022 14:24:02",
"content": "(1+3), (1+2)(1+1)",
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},
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"id": 1042158126406828200,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:24:19",
"content": "4 , 6",
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{
"id": 1042158248289120400,
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"author_name": "riemann",
"timestamp": "11/15/2022 14:24:48",
"content": "maybe that was a bad example",
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"id": 1042158253448118300,
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"author_name": "riemann",
"timestamp": "11/15/2022 14:24:49",
"content": "n=10",
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},
{
"id": 1042158298994049000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/15/2022 14:25:00",
"content": "(10+3), (10+2)(10+1)",
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},
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"id": 1042158424575721600,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:25:30",
"content": "13, 132",
"attachments": [],
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},
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"id": 1042158622194540500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/15/2022 14:26:17",
"content": "so use the definition of lowest common denominator now",
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"id": 1042158834812203100,
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"author_name": "riemann",
"timestamp": "11/15/2022 14:27:08",
"content": "or least common multiple",
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},
{
"id": 1042159200119300100,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:28:35",
"content": "lcd?",
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"reference": null
},
{
"id": 1042159283166523500,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "11/15/2022 14:28:55",
"content": "i learned only gcd",
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},
{
"id": 1042159393686429700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/15/2022 14:29:21",
"content": "how are you doing problems asking for lcd when you haven't learned lcd yet",
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},
{
"id": 1042159506962010200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/15/2022 14:29:48",
"content": "https://www.youtube.com/watch?v=1fR_9ke5-n8",
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},
{
"id": 1042163059071930500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 14:43:55",
"content": "@Eseba🔱 Has your question been resolved?",
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{
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"name": "Eseba🔱",
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"id": 1042166835660988500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 14:58:56",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 5f54105b6ea04ce894c24b62d316f53d |
201,617 | [
{
"id": 1042169041118298100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 15:07:41",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1042169578496725100,
"author_id": 619473013389131800,
"author_name": "sonicfan134526",
"timestamp": "11/15/2022 15:09:50",
"content": "at what c is x^(x-c) tangent to x!",
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},
{
"id": 1042169580942000300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 15:09:50",
"content": "Pinned a message.",
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{
"id": 1042169728875106400,
"author_id": 619473013389131800,
"author_name": "sonicfan134526",
"timestamp": "11/15/2022 15:10:25",
"content": "or what is the way to calculte these things",
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},
{
"id": 1042170476744683500,
"author_id": 617052584196177900,
"author_name": "magima",
"timestamp": "11/15/2022 15:13:24",
"content": "where they cross and the derivatives are the same values i'd guess?",
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},
{
"id": 1042170518624809100,
"author_id": 617052584196177900,
"author_name": "magima",
"timestamp": "11/15/2022 15:13:34",
"content": "does that sound right or not really?",
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},
{
"id": 1042170719523573900,
"author_id": 619473013389131800,
"author_name": "sonicfan134526",
"timestamp": "11/15/2022 15:14:22",
"content": "yeah ig",
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},
{
"id": 1042170750284615700,
"author_id": 619473013389131800,
"author_name": "sonicfan134526",
"timestamp": "11/15/2022 15:14:29",
"content": "thx",
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},
{
"id": 1042170760292220900,
"author_id": 619473013389131800,
"author_name": "sonicfan134526",
"timestamp": "11/15/2022 15:14:31",
"content": ".close",
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},
{
"id": 1042170763186294900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 15:14:32",
"content": "Channel closed",
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}
] | help-9 | 2a85a4cb21ed454b858b6ed72d42ec50 |
201,618 | [
{
"id": 1033597715768164400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 00:28:18",
"content": "Available help channel!",
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},
{
"id": 1033599106121220100,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:33:50",
"content": "A music store has 20 feet of dividers to set off a rectangular area for a compact disc display in one side of its saleroom. The side against the wall require no partition. Find the maximum area that can be enclosed. What are its dimensions?",
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{
"id": 1033599108168044500,
"author_id": 805217272087838700,
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"timestamp": "10/23/2022 00:33:50",
"content": "Pinned a message.",
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{
"id": 1033599166825369600,
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"timestamp": "10/23/2022 00:34:04",
"content": "",
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{
"id": 1033599181002133600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:34:08",
"content": "this what i have but idk how to do it when its only 3 sides",
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},
{
"id": 1033599293652750300,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:34:34",
"content": "width = x \nlength = 20 -x",
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},
{
"id": 1033599303098306600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:34:37",
"content": "can someone help",
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},
{
"id": 1033599529800454100,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:35:31",
"content": "Area is still length times width, it's still a rectangle",
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},
{
"id": 1033599610574340200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:35:50",
"content": "It's just that the total length of fence required isn't the entire perimeter",
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},
{
"id": 1033599623874486400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:35:53",
"content": "Just those three sides",
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},
{
"id": 1033599685178425500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:36:08",
"content": "20-x is not quite right, though",
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},
{
"id": 1033599767898505200,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:36:28",
"content": "but it has 20 feet of dividers",
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},
{
"id": 1033599819463282700,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:36:40",
"content": "i mean",
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},
{
"id": 1033599825830215700,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:36:41",
"content": "20 - 2x",
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},
{
"id": 1033599832843092100,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:36:43",
"content": "sry",
"attachments": [],
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},
{
"id": 1033599835330326700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:36:44",
"content": "And the short sides use up x feet *each*",
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},
{
"id": 1033599840204099600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:36:45",
"content": "yeah",
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},
{
"id": 1033600017618976900,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:37:27",
"content": "So just make an area function and maximize it",
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},
{
"id": 1033600029237182600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:37:30",
"content": "i know im supposed to get the vertex but idk how to od it",
"attachments": [],
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},
{
"id": 1033600036426223600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:37:32",
"content": "with 3 sides",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033600076146286600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:37:41",
"content": "The area is still a rectangle, right?",
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},
{
"id": 1033600089207341000,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:37:44",
"content": "yea",
"attachments": [],
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},
{
"id": 1033600110753480700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:37:49",
"content": "So what's the area?",
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},
{
"id": 1033600117003014300,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:37:51",
"content": "in terms of x",
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},
{
"id": 1033600143821381600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:37:57",
"content": "x(20-2x)",
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},
{
"id": 1033600168760725600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:38:03",
"content": "Yeah",
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},
{
"id": 1033600208292024400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:38:13",
"content": "So all you're doing is finding the maximum of that function",
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},
{
"id": 1033600299077746700,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:38:34",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033600379532890200,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:38:53",
"content": "A(5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033600456431255600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:12",
"content": "its 50",
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},
{
"id": 1033600474001186800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:39:16",
"content": "Yep",
"attachments": [],
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},
{
"id": 1033600537670721500,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:31",
"content": "now how do i get the dimensions",
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"reference": null
},
{
"id": 1033600579487928400,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:41",
"content": "ohhh wait",
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},
{
"id": 1033600592452530200,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:44",
"content": "x = 5",
"attachments": [],
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},
{
"id": 1033600610882289700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:39:49",
"content": "yep",
"attachments": [],
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},
{
"id": 1033600614841733200,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:49",
"content": "20 - 2x = 10?",
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},
{
"id": 1033600624186630100,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:52",
"content": "so width is 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033600635163115600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:39:54",
"content": "then length 10",
"attachments": [],
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"reference": null
},
{
"id": 1033600645124599800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:39:57",
"content": "Yes",
"attachments": [],
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},
{
"id": 1033600657678139400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/23/2022 00:40:00",
"content": "👍 Good work",
"attachments": [],
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"reference": null
},
{
"id": 1033600660639326300,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:40:00",
"content": "tysm bro",
"attachments": [],
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"reference": null
},
{
"id": 1033600668973404200,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 00:40:02",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1033600671557095400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 00:40:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | f1897e94b11e44bfbf5527b539d1c87b |
201,619 | [
{
"id": 1042176969770537000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 15:39:12",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1042177030441156600,
"author_id": 509431389687382000,
"author_name": "FexGem",
"timestamp": "11/15/2022 15:39:26",
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"timestamp": "11/15/2022 15:39:27",
"content": "Pinned a message.",
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"id": 1042177109910630500,
"author_id": 509431389687382000,
"author_name": "FexGem",
"timestamp": "11/15/2022 15:39:45",
"content": "how would I go about this calculator-less? I just get 0 but obviously I'm doing something wrong",
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},
{
"id": 1042177429793423400,
"author_id": 509431389687382000,
"author_name": "FexGem",
"timestamp": "11/15/2022 15:41:01",
"content": ".close",
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},
{
"id": 1042177432490361000,
"author_id": 805217272087838700,
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"content": "Channel closed",
"attachments": [],
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}
] | help-9 | f4fe842ae6ce4551b02d65a97f131946 |
201,620 | [
{
"id": 1042179564958396400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 15:49:31",
"content": "Available help channel!",
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},
{
"id": 1042179775772491800,
"author_id": 210858124209291260,
"author_name": "Robstersgaming",
"timestamp": "11/15/2022 15:50:21",
"content": "how is this true?",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1042179774958813205/image.png",
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"id": 1042179778523967500,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 15:50:21",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1042179845804793900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "11/15/2022 15:50:38",
"content": "because log properties exist 🤓",
"attachments": [],
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"reference": null
},
{
"id": 1042179918475309200,
"author_id": 210858124209291260,
"author_name": "Robstersgaming",
"timestamp": "11/15/2022 15:50:55",
"content": "",
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{
"id": 1042179956366655600,
"author_id": 210858124209291260,
"author_name": "Robstersgaming",
"timestamp": "11/15/2022 15:51:04",
"content": "thats where im confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1042180021051195400,
"author_id": 210858124209291260,
"author_name": "Robstersgaming",
"timestamp": "11/15/2022 15:51:19",
"content": "doesn't log(x-3y)^2 mean that the answer of the evaluted function is squared",
"attachments": [],
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"reference": null
},
{
"id": 1042180050545549300,
"author_id": 210858124209291260,
"author_name": "Robstersgaming",
"timestamp": "11/15/2022 15:51:26",
"content": "so how does it relate to the property?",
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"reference": null
},
{
"id": 1042180084754288600,
"author_id": 656147982177271800,
"author_name": "PROnoob",
"timestamp": "11/15/2022 15:51:34",
"content": "nope",
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"content": "thats written as $\\log^2(x-3y)$",
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"timestamp": "11/15/2022 15:52:00",
"content": "**PROnoob**",
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"content": "similar to trigonometric functions",
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"timestamp": "11/15/2022 15:52:36",
"content": "ok thank you that makes sense. Desmos apparently is doing it weridly because I graphed log(x)^2 and log(x^2) and they weren't equal",
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"timestamp": "11/15/2022 15:52:44",
"content": "or am I misunderstanding something again?",
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"timestamp": "11/15/2022 15:53:19",
"content": "yes desmos might be taking the output squared",
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"timestamp": "11/15/2022 15:53:58",
"content": "its taking log(x)^2 as (log(x))^2",
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"timestamp": "11/15/2022 15:54:28",
"content": "ok but it is meant to be written as log^2x generally?",
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"timestamp": "11/15/2022 15:54:47",
"content": "yes when writting by hand",
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"timestamp": "11/15/2022 15:55:13",
"content": "because technically log^2 is wrong",
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"timestamp": "11/15/2022 15:55:18",
"content": "its just to save time",
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"timestamp": "11/15/2022 15:55:39",
"content": "log^2(x) should be log(log(x)) technically speaking",
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"timestamp": "11/15/2022 15:56:15",
"content": "ok interesting, thank you. That confusion really screwed me up",
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"timestamp": "11/15/2022 15:56:24",
"content": "but thats just the notation\nyou wouldnt want to write (log(x))^2 everytime",
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"author_name": "Blume",
"timestamp": "11/15/2022 15:59:48",
"content": "hello, can i ask something about the square of log",
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"id": 1042182258381050000,
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"author_name": "Blume",
"timestamp": "11/15/2022 16:00:13",
"content": "after reading the conversation",
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"timestamp": "11/15/2022 16:01:28",
"content": "no questions about the square of log are prohibited here",
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"timestamp": "11/15/2022 16:01:41",
"content": "lol jk",
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"timestamp": "11/15/2022 16:01:45",
"content": "go ahead",
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"author_name": "Blume",
"timestamp": "11/15/2022 16:02:12",
"content": "so would ln (x)^2 mean that the function is logged?",
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"timestamp": "11/15/2022 16:02:28",
"content": "no",
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"timestamp": "11/15/2022 16:02:56",
"content": "ln(x)^2 is ambiguous only between (ln(x))^2 and ln((x)^2)",
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"timestamp": "11/15/2022 16:03:29",
"content": "the ambiguity is whether log is applied after squaring or before",
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"timestamp": "11/15/2022 16:03:30",
"content": "ic",
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"timestamp": "11/15/2022 16:11:15",
"content": "@Robstersgaming Has your question been resolved?",
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"timestamp": "11/15/2022 16:11:22",
"content": "Channel closed",
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] | help-9 | bdf718f7b9b44744a36dc1a16347951a |
201,621 | [
{
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"timestamp": "11/15/2022 16:12:23",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "11/15/2022 16:23:08",
"content": "they have a negative outside series",
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"timestamp": "11/15/2022 16:23:14",
"content": "then they multiply it in i dont get",
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"id": 1042188192499122300,
"author_id": 451551793474961400,
"author_name": "DISS",
"timestamp": "11/15/2022 16:23:48",
"content": "how -1 * (-1)^n (x)^n = (-1)^1 (-1)^n",
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"id": 1042188210396209200,
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"timestamp": "11/15/2022 16:23:52",
"content": "whered the x go",
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"timestamp": "11/15/2022 16:29:05",
"content": "its error fs",
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"timestamp": "11/15/2022 16:29:17",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 6e677e778509401c9ada5b403c3f7142 |
201,622 | [
{
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"content": "Pinned a message.",
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"timestamp": "11/15/2022 16:35:43",
"content": "How do I solve the 6 marker question",
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"timestamp": "11/15/2022 16:36:35",
"content": "Ok I understood nothing of that",
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"timestamp": "11/15/2022 16:36:42",
"content": "I thought of right",
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"author_name": "Mat_",
"timestamp": "11/15/2022 16:36:49",
"content": "Setting the two equations equal to each other",
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"id": 1042191828650295300,
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"author_name": "Mat_",
"timestamp": "11/15/2022 16:38:14",
"content": "So 2x-3y-4z=12, 2x-3y+4z=12",
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"timestamp": "11/15/2022 16:38:18",
"content": "When x=0",
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"timestamp": "11/15/2022 16:38:26",
"content": "Then let z=lambda",
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"timestamp": "11/15/2022 16:38:33",
"content": "But then I wouldn't know where to go",
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"content": "@Mat_ Has your question been resolved?",
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"content": "@Mat_ Has your question been resolved?",
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"timestamp": "11/15/2022 17:53:54",
"content": "Channel closed",
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] | help-9 | 25c7a9836f154aed87bc4d71d9c81e94 |
201,623 | [
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] | help-9 | d248beb15dc745f892786de05ccbccd3 |
201,624 | [
{
"id": 1042212537460064300,
"author_id": 530043257703366660,
"author_name": "adxm",
"timestamp": "11/15/2022 18:00:32",
"content": "The coordinates are in the form (x, y)",
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"id": 1042212603700707300,
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"content": "So write the x value for that point and then the y value for that point",
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"id": 1042214277483876400,
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"timestamp": "11/15/2022 18:08:01",
"content": "Factorise top and bottom",
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"timestamp": "11/15/2022 18:08:13",
"content": "Factorise the quadratics on top and bottom",
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"author_name": "Von Krieger",
"timestamp": "11/15/2022 18:12:45",
"content": "So wouldn't it be D?",
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"timestamp": "11/15/2022 18:12:55",
"content": "Yes",
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"author_name": "Von Krieger",
"timestamp": "11/15/2022 18:13:14",
"content": "Sweet thanks!",
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},
{
"id": 1042215746274611200,
"author_id": 577508827948384300,
"author_name": "Von Krieger",
"timestamp": "11/15/2022 18:13:17",
"content": ".close",
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},
{
"id": 1042215748682129400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 18:13:17",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 69e79bf97f964ae688a245af339c76d5 |
201,625 | [
{
"id": 1042215775349506200,
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"author_name": "adxm",
"timestamp": "11/15/2022 18:13:24",
"content": "Np",
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},
{
"id": 1042216164199243800,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 18:14:56",
"content": "Available help channel!",
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},
{
"id": 1042216626910666800,
"author_id": 268852766972182530,
"author_name": "nicoladahنيكو",
"timestamp": "11/15/2022 18:16:47",
"content": "anyone can help me out w dis please",
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"content": "Pinned a message.",
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"timestamp": "11/15/2022 18:31:47",
"content": "@nicoladahنيكو Has your question been resolved?",
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"id": 1042221686453444700,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "11/15/2022 18:36:53",
"content": ",rotate",
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},
{
"id": 1042221727561818100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/15/2022 18:37:03",
"content": "",
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"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "11/15/2022 18:41:40",
"content": "$\\cos(\\frac{\\pi}{12}) = \\frac{x}{15}$",
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},
{
"id": 1042222966789910700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/15/2022 18:41:58",
"content": "**Mehdi\\_Moulati**",
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"author_name": "Mehdi_Moulati",
"timestamp": "11/15/2022 18:42:04",
"content": "x : minimum distance",
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},
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"id": 1042229587356168200,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 19:08:17",
"content": "@nicoladahنيكو Has your question been resolved?",
"attachments": [],
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"timestamp": "11/15/2022 19:09:21",
"content": "Channel closed",
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}
] | help-9 | e6e3e87d2c0548618ba8fdb0dcadca4f |
201,626 | [
{
"id": 1042231497408655400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 19:15:52",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1042232899254091800,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "11/15/2022 19:21:26",
"content": "Let 𝑓 be a function from ℤ×ℤ to ℤ×ℤ (that is, 𝑓 maps pairs of integers to pairs of integers) given by 𝑓(𝑥,𝑦)=(𝑥+𝑦,𝑥−𝑦). Is 𝑓 one-to-one? onto? Prove or give a counterexample.",
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"id": 1042232901061836800,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 19:21:27",
"content": "Pinned a message.",
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{
"id": 1042233015713140700,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "11/15/2022 19:21:54",
"content": "having difficulty proving f is injective",
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},
{
"id": 1042233109837512800,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "11/15/2022 19:22:17",
"content": "I assumed f(x,y) = f(a,b)",
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},
{
"id": 1042233182973603800,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "11/15/2022 19:22:34",
"content": "and I am trying to prove that (x,y) = (a,b)",
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},
{
"id": 1042233207682252800,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "11/15/2022 19:22:40",
"content": "not sure how to get there tho",
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},
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"id": 1042236983445045200,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 19:37:40",
"content": "@Certified Thot Slayer Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 19:38:10",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 74d29cd9cd9e4f3ab6146f40bf41e60a |
201,627 | [
{
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"timestamp": "11/15/2022 19:39:10",
"content": "Available help channel!",
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},
{
"id": 1042237686779486200,
"author_id": 1035250575517941800,
"author_name": "ryxx",
"timestamp": "11/15/2022 19:40:28",
"content": "Where is abdu",
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},
{
"id": 1042237688809521200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 19:40:28",
"content": "Pinned a message.",
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"timestamp": "11/15/2022 19:55:28",
"content": "@ryxx Has your question been resolved?",
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"timestamp": "11/15/2022 20:10:29",
"content": "Channel closed",
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}
] | help-9 | 2a2f4da5395b40b589f8962f4c2cafc7 |
201,628 | [
{
"id": 1042245491087397000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 20:11:29",
"content": "Available help channel!",
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},
{
"id": 1042251457937805400,
"author_id": 815938082904735900,
"author_name": ".1",
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"content": "",
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"timestamp": "11/15/2022 20:35:12",
"content": "Pinned a message.",
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{
"id": 1042251563881742300,
"author_id": 815938082904735900,
"author_name": ".1",
"timestamp": "11/15/2022 20:35:36",
"content": "i know i need to use side limits, right?",
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{
"id": 1042251971089944700,
"author_id": 815938082904735900,
"author_name": ".1",
"timestamp": "11/15/2022 20:37:14",
"content": "how i analyze the function?\ni know that, for example |x+1| = x if x>1 , 0 if x=1 and -x if x<-1\nbut how i add that information to the all function",
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{
"id": 1042252195279667300,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 20:38:07",
"content": "In the limit x is small",
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{
"id": 1042252202108002400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:38:09",
"content": "???\n|x+1| = x+1 if x > -1\n|x+1| = -x-1 if x < -1",
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{
"id": 1042252288753946600,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 20:38:29",
"content": "For small enough x , x+1 is positive",
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{
"id": 1042252335642063000,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 20:38:40",
"content": "And x-1 is negative",
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"id": 1042252403824672800,
"author_id": 815938082904735900,
"author_name": ".1",
"timestamp": "11/15/2022 20:38:57",
"content": "oh, you're right",
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"id": 1042253185127039100,
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"author_name": ".1",
"timestamp": "11/15/2022 20:42:03",
"content": ".close",
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},
{
"id": 1042253188167913500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 20:42:04",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 1dac8680b2034100ba8f9f821ed2d76f |
201,629 | [
{
"id": 1033610218757705700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 01:17:59",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1033612765434224600,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/23/2022 01:28:06",
"content": "why doesn't both get rid of the variable, 7a - 2a = 5a but 5y - 5y = 0",
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},
{
"id": 1033612769234276400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 01:28:07",
"content": "Pinned a message.",
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}
},
{
"id": 1033614700883214500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "10/23/2022 01:35:48",
"content": "be clearer pls",
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"reference": null
},
{
"id": 1033614884207861800,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/23/2022 01:36:32",
"content": "i figured out",
"attachments": [],
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},
{
"id": 1033614909155586000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "10/23/2022 01:36:37",
"content": "good job",
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},
{
"id": 1033614921511997600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "10/23/2022 01:36:40",
"content": ":catthumbsup:",
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},
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"id": 1033614930374578200,
"author_id": 542568727212851200,
"author_name": "Bird",
"timestamp": "10/23/2022 01:36:43",
"content": ".close",
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},
{
"id": 1033614932924706800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 01:36:43",
"content": "Channel closed",
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}
] | help-9 | 923be9d2d4714178bbe142f668c60976 |
201,630 | [
{
"id": 1042253987178631200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 20:45:14",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1042254836827177100,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:48:37",
"content": "The dimension of a matrix",
"attachments": [],
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},
{
"id": 1042254838861406300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 20:48:37",
"content": "Pinned a message.",
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},
{
"id": 1042254978670141600,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:49:11",
"content": "If I'm asked to find it — would I reduce to REF and then the dimension (formally defined as the cardinality of its basis) would be the number of LI columns?",
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},
{
"id": 1042255086472147100,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:49:36",
"content": "And, if this is the case, what's the difference between a Matrix's column space and the vector space its columns represent?",
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},
{
"id": 1042255332124151800,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:50:35",
"content": "so the dimension of the column space?",
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},
{
"id": 1042255372213293200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:50:44",
"content": "if so, yes.",
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},
{
"id": 1042255456678195200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:51:05",
"content": "the column space of a matrix and the span of it's columns are the same thing",
"attachments": [],
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"reference": null
},
{
"id": 1042255564153032700,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:51:30",
"content": "I guess I'm getting myself mixed up",
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},
{
"id": 1042255601088090100,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:51:39",
"content": "A matrix itself doesn't have dimension",
"attachments": [],
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},
{
"id": 1042255611552870400,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:51:41",
"content": "Right?",
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},
{
"id": 1042255652480897000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:51:51",
"content": "no, it has a rank",
"attachments": [],
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},
{
"id": 1042255704674812000,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:52:04",
"content": "Which is the number of LI rows/columns?",
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},
{
"id": 1042255727953187000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:52:09",
"content": "yep",
"attachments": [],
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},
{
"id": 1042255763294392300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:52:18",
"content": "so it's equal to the dimension of the column space",
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},
{
"id": 1042255858375082100,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:52:40",
"content": "And I can compute the rank by reducing to REF?",
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},
{
"id": 1042255982245457900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:53:10",
"content": "yep",
"attachments": [],
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},
{
"id": 1042256004693373000,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:53:15",
"content": "WRT to dimension",
"attachments": [],
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},
{
"id": 1042256049958301700,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:53:26",
"content": "I'll never be asked \"find the dimension of this matrix\"",
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},
{
"id": 1042256169152032900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:53:54",
"content": "i don't think so?",
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},
{
"id": 1042256224411996200,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:54:08",
"content": "But I might be asked \"find the dimension of this matrix's column space\" or \"find the dimension of the space spanned by this (possibly not-a-basis) set of vectors\"",
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},
{
"id": 1042256253327524000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "11/15/2022 20:54:14",
"content": "yeah",
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},
{
"id": 1042256290434527400,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:54:23",
"content": "Awesome",
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},
{
"id": 1042256308574900200,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:54:28",
"content": "🙂",
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},
{
"id": 1042256319807242200,
"author_id": 404546189372162050,
"author_name": "Skywalker",
"timestamp": "11/15/2022 20:54:30",
"content": ".close",
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},
{
"id": 1042256322546110600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 20:54:31",
"content": "Channel closed",
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}
] | help-9 | 970d55129982449e91565a8dfbb562df |
201,631 | [
{
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"timestamp": "11/15/2022 21:07:11",
"content": "Available help channel!",
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},
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"id": 1042260091296030700,
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"content": "Pinned a message.",
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"author_name": "prushka",
"timestamp": "11/15/2022 21:09:34",
"content": "I am trying to solve this one without using a reduction formula.\nHow is the product-sum formula applied to the sin^4 to get the stuff at the bottom? i only get ((1-cos(2x))/2)^2",
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 21:24:34",
"content": "@prushka Has your question been resolved?",
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"id": 1042265249702760400,
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"author_name": "prushka",
"timestamp": "11/15/2022 21:29:59",
"content": "@Helpers",
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},
{
"id": 1042266675409584300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/15/2022 21:35:39",
"content": "I don’t get it entirely, but I understand one part",
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{
"id": 1042267019267027000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/15/2022 21:37:01",
"content": "Sin^2(x) = 1/2 (1-cos(2x))\nTherefore, sin^4(x) = (. 1/2 (1-cos(2x)). )^2 = 1/4 (1-2cos(2x)+cos^2(2x))",
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{
"id": 1042267125487775700,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/15/2022 21:37:27",
"content": "See that little cos^2(2x) in there?",
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"id": 1042267397312233500,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/15/2022 21:38:31",
"content": "We can replace it with yet another product-to-sum formula. Cos^2(x) = 1/2 (cos(2x) +1). Subsitute this formula into ur formula for sin^4 previously said, and then u should end up with the solution",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/15/2022 21:38:35",
"content": "@prushka",
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"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "11/15/2022 21:38:58",
"content": "I realized what I did wrong along the way and fixed, so acctually now I DO understand it entirely",
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"id": 1042269268307353600,
"author_id": 744890755109224600,
"author_name": "prushka",
"timestamp": "11/15/2022 21:45:57",
"content": "yes hello",
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"id": 1042269368278585300,
"author_id": 744890755109224600,
"author_name": "prushka",
"timestamp": "11/15/2022 21:46:21",
"content": "@❤ Pauli Excluder ❤",
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"id": 1042269589972721700,
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"author_name": "prushka",
"timestamp": "11/15/2022 21:47:14",
"content": "Thanks",
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},
{
"id": 1042269683090456700,
"author_id": 744890755109224600,
"author_name": "prushka",
"timestamp": "11/15/2022 21:47:36",
"content": ".close",
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},
{
"id": 1042269686018089100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 21:47:37",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 368d493b2c5449a7b2fa5f3a0c7345e3 |
201,632 | [
{
"id": 1042269938309681300,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 21:48:37",
"content": "Available help channel!",
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},
{
"id": 1042272202206236700,
"author_id": 682709217785675800,
"author_name": "Debug",
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"timestamp": "11/15/2022 21:57:38",
"content": "Pinned a message.",
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{
"id": 1042272307961405400,
"author_id": 682709217785675800,
"author_name": "Debug",
"timestamp": "11/15/2022 21:58:02",
"content": "I'm not sure how to rewrite either of these as a single trig function",
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},
{
"id": 1042272523221483500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 21:58:54",
"content": "sin(2x) = 2sinx.cosx",
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{
"id": 1042272746123579400,
"author_id": 682709217785675800,
"author_name": "Debug",
"timestamp": "11/15/2022 21:59:47",
"content": "So would 13 just be sin",
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},
{
"id": 1042273117072007300,
"author_id": 779435533273268200,
"author_name": "funnybunnies",
"timestamp": "11/15/2022 22:01:15",
"content": "sin(2x)/2",
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},
{
"id": 1042273414792093700,
"author_id": 682709217785675800,
"author_name": "Debug",
"timestamp": "11/15/2022 22:02:26",
"content": "How would I do that though",
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},
{
"id": 1042273549907402800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 22:02:58",
"content": "sin is a function",
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},
{
"id": 1042273640084934800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 22:03:20",
"content": "sin(x) means the function sin, evaluated at the number x",
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{
"id": 1042273657638109300,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "11/15/2022 22:03:24",
"content": "x is the input",
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},
{
"id": 1042274013575123100,
"author_id": 682709217785675800,
"author_name": "Debug",
"timestamp": "11/15/2022 22:04:49",
"content": "Ok",
"attachments": [],
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},
{
"id": 1042274035477794800,
"author_id": 682709217785675800,
"author_name": "Debug",
"timestamp": "11/15/2022 22:04:54",
"content": ".close",
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},
{
"id": 1042274038107615200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 22:04:55",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 75c1561699c8407490dc564309f32007 |
201,633 | [
{
"id": 1042274974527926400,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 22:08:38",
"content": "Available help channel!",
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},
{
"id": 1042275657511608400,
"author_id": 755014175964790800,
"author_name": "spector989",
"timestamp": "11/15/2022 22:11:21",
"content": "There is an arithmetic progression whose first term is unkown and common difference is 1 and number of terms is unkown too . But we know that sum of all terms of that arithmetic progression gives 99 , how many possible AP are there .",
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"timestamp": "11/15/2022 22:26:21",
"content": "@spector989 Has your question been resolved?",
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"timestamp": "11/15/2022 22:32:17",
"content": "Channel closed",
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}
] | help-9 | 87f00868d4c6400db2775ae0e42a7395 |
201,634 | [
{
"id": 1042281179623198700,
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"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 22:33:17",
"content": "Available help channel!",
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},
{
"id": 1042283147393507500,
"author_id": 623916616652030000,
"author_name": "Rayyyyy",
"timestamp": "11/15/2022 22:41:07",
"content": "I need help with the bat and ball riddle, i don't understand how the answer is $0.05",
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},
{
"id": 1042283149549383700,
"author_id": 805217272087838700,
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"timestamp": "11/15/2022 22:41:07",
"content": "Pinned a message.",
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{
"id": 1042283212258431100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/15/2022 22:41:22",
"content": "Be great if the riddle was given to us",
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},
{
"id": 1042284033834483700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/15/2022 22:44:38",
"content": "No, figure it out yourself",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/15/2022 22:44:47",
"content": "Aren't you smart or something? This is the maths server",
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},
{
"id": 1042285825175601200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/15/2022 22:51:45",
"content": "So true",
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},
{
"id": 1042285830217142400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/15/2022 22:51:46",
"content": "Honestly",
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},
{
"id": 1042285872835465200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/15/2022 22:51:56",
"content": "I think it's 5 cents because 5 is more than 4",
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"id": 1042287132489826300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 22:56:57",
"content": "@Rayyyyy Has your question been resolved?",
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"timestamp": "11/15/2022 23:11:58",
"content": "Channel closed",
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}
] | help-9 | 4797245139d849eab2945ef57a41c161 |
201,635 | [
{
"id": 1042299482240463000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/15/2022 23:46:01",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1042300085477855200,
"author_id": 235555629102530560,
"author_name": "Bart",
"timestamp": "11/15/2022 23:48:25",
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"timestamp": "11/15/2022 23:48:26",
"content": "Pinned a message.",
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"id": 1042300235243868200,
"author_id": 235555629102530560,
"author_name": "Bart",
"timestamp": "11/15/2022 23:49:01",
"content": "I got that L=2w. Is the formula for A = 2(lw + lh + wh)?",
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"id": 1042300540085870600,
"author_id": 235555629102530560,
"author_name": "Bart",
"timestamp": "11/15/2022 23:50:13",
"content": "or am I missing something because it's open?",
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{
"id": 1042300879300202600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/15/2022 23:51:34",
"content": "quite the opposite - your formula for area includes too much",
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{
"id": 1042300924250566700,
"author_id": 493273699865198600,
"author_name": "Alyssa Blak",
"timestamp": "11/15/2022 23:51:45",
"content": "I think that's what he's saying",
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"id": 1042300961575669800,
"author_id": 493273699865198600,
"author_name": "Alyssa Blak",
"timestamp": "11/15/2022 23:51:54",
"content": "He accidentally included that open top",
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},
{
"id": 1042300992718377100,
"author_id": 493273699865198600,
"author_name": "Alyssa Blak",
"timestamp": "11/15/2022 23:52:01",
"content": "As if it were there",
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"id": 1042301007083884700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/15/2022 23:52:05",
"content": "but yes it's because the box is open that its surface area is not 2(lw+lh+wh)",
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"id": 1042302225004896300,
"author_id": 235555629102530560,
"author_name": "Bart",
"timestamp": "11/15/2022 23:56:55",
"content": "A = 1(lw) + 2(lh) + 2(wh), because there is only one side (the bottom of the box because the top is missing) who's surface area is L*W",
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{
"id": 1042302342449610900,
"author_id": 235555629102530560,
"author_name": "Bart",
"timestamp": "11/15/2022 23:57:23",
"content": "is that a reasonable explanation and area?",
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"id": 1042306118459863000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/16/2022 00:12:23",
"content": "@Bart Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 87c42fb6ac0f402eb9c752e12a799eb9 |
201,636 | [
{
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"timestamp": "11/16/2022 00:13:32",
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"id": 1042307913592606700,
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"author_name": "iO",
"timestamp": "11/16/2022 00:19:31",
"content": "so the question in my 7th grade books says identify the base and exponent in each of the following and then there is question G.7y³ and question H.-4m⁶ i didnt understand what to do",
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"timestamp": "11/16/2022 00:20:36",
"content": "do they ask the base of the exponent or just the base?",
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"id": 1042308213678276600,
"author_id": 606107927278780500,
"author_name": "superpro",
"timestamp": "11/16/2022 00:20:43",
"content": "do you know what an exponent is?",
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{
"id": 1042308606747476100,
"author_id": 933794647803822200,
"author_name": "iO",
"timestamp": "11/16/2022 00:22:17",
"content": "i think?",
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"id": 1042308622417395700,
"author_id": 933794647803822200,
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"timestamp": "11/16/2022 00:22:20",
"content": "the small number right",
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"id": 1042308640738119700,
"author_id": 933794647803822200,
"author_name": "iO",
"timestamp": "11/16/2022 00:22:25",
"content": "like ²",
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},
{
"id": 1042308653677547500,
"author_id": 933794647803822200,
"author_name": "iO",
"timestamp": "11/16/2022 00:22:28",
"content": "and base is 9",
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},
{
"id": 1042308664058454000,
"author_id": 933794647803822200,
"author_name": "iO",
"timestamp": "11/16/2022 00:22:30",
"content": "for example",
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"timestamp": "11/16/2022 00:23:12",
"content": "idk my english is bad but it just says identify the base and exponent",
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"timestamp": "11/16/2022 00:23:22",
"content": "idk what to write when it says identify",
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"id": 1042308915087548400,
"author_id": 606107927278780500,
"author_name": "superpro",
"timestamp": "11/16/2022 00:23:30",
"content": "yes",
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"timestamp": "11/16/2022 00:23:43",
"content": "identify means to write down what the exponent is",
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"timestamp": "11/16/2022 00:23:51",
"content": "and to write down what the base is",
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"timestamp": "11/16/2022 00:23:53",
"content": "ohhh so its ez",
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"timestamp": "11/16/2022 00:24:02",
"content": "okay ty",
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"author_name": "iO",
"timestamp": "11/16/2022 00:24:11",
"content": "so 7y is base",
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"id": 1042309094196912100,
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"timestamp": "11/16/2022 00:24:13",
"content": "yes",
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"timestamp": "11/16/2022 00:24:14",
"content": "³",
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"timestamp": "11/16/2022 00:24:17",
"content": "exponent",
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"id": 1042309120058994700,
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"author_name": "superpro",
"timestamp": "11/16/2022 00:24:19",
"content": "no only y",
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"timestamp": "11/16/2022 00:24:24",
"content": "why not 7",
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"author_name": "superpro",
"timestamp": "11/16/2022 00:24:31",
"content": "because the exponent only applies to the y",
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"author_id": 933794647803822200,
"author_name": "iO",
"timestamp": "11/16/2022 00:24:54",
"content": "oh there is an invisible × between 7 and y?",
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"timestamp": "11/16/2022 00:24:56",
"content": "it's not (7y)^3",
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"timestamp": "11/16/2022 00:25:00",
"content": "yes",
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"timestamp": "11/16/2022 00:25:05",
"content": "okay ty",
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"author_id": 606107927278780500,
"author_name": "superpro",
"timestamp": "11/16/2022 00:25:11",
"content": "7 has an exponent of 1",
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"id": 1042309358060585100,
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"timestamp": "11/16/2022 00:25:16",
"content": "and the second one",
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"author_id": 933794647803822200,
"author_name": "iO",
"timestamp": "11/16/2022 00:25:35",
"content": "okay bro ty im closing",
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"id": 1042309458187006000,
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"author_name": "iO",
"timestamp": "11/16/2022 00:25:40",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "11/16/2022 00:25:40",
"content": "Channel closed",
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] | help-9 | c0e5891fde984b5e894f7f4710957e38 |
201,637 | [
{
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"id": 1042313654374244400,
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"timestamp": "11/16/2022 00:42:20",
"content": "why is the vector space of polynomials isomorphic to $\\mathbb{R}^{n+1}$ and not n?",
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"timestamp": "11/16/2022 00:42:23",
"content": "**Kedi**",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:43:39",
"content": "this question is missing something lol",
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"timestamp": "11/16/2022 00:44:28",
"content": "missing some detail on \"vector space of polynomials\"",
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"timestamp": "11/16/2022 00:46:07",
"content": "is it because we start at index 0?",
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"id": 1042314612546207900,
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"timestamp": "11/16/2022 00:46:08",
"content": "so vector space of polynomials of degree at most n?",
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"timestamp": "11/16/2022 00:46:34",
"content": "well that has something to do with it ig but that's just notation",
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"timestamp": "11/16/2022 00:46:58",
"content": "yes",
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"timestamp": "11/16/2022 00:46:58",
"content": "does this clear it up? a basis for the vector space of polynomials of degree at most 2 is {1,x,x^2}",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:47:56",
"content": "so the dimension of the space is 3",
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"timestamp": "11/16/2022 00:48:02",
"content": "which means it's isomorphic to R^3",
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"timestamp": "11/16/2022 00:48:45",
"content": "but it says $\\mathbb{R}^{n+1}$",
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"timestamp": "11/16/2022 00:48:59",
"content": "**Kedi**",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:49:01",
"content": "n=2 in my example",
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"timestamp": "11/16/2022 00:49:36",
"content": "ah ok\nbut how can we prove the isomorphism?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:50:32",
"content": "vector spaces with the same dimension are isomorphic",
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"timestamp": "11/16/2022 00:50:35",
"content": "How did u find this basis?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:50:37",
"content": "that's a big theorem in linear algebra",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:51:23",
"content": "find? i didn't really find it",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:51:31",
"content": "it's canonical",
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"id": 1042316063725076500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:51:54",
"content": "like how {[1,0,0], [0,1,0], [0,0,1]} is a basis for R^3",
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{
"id": 1042316131249172600,
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"timestamp": "11/16/2022 00:52:10",
"content": "do you see why it's a basis?",
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"id": 1042316179529801700,
"author_id": 890981773704569000,
"author_name": "Kedi",
"timestamp": "11/16/2022 00:52:22",
"content": "but it has a way to be found, right?",
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"id": 1042316657110032400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:54:16",
"content": "there are infinitely many bases, i don't know how to explain how you \"find\" that one",
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"timestamp": "11/16/2022 00:54:18",
"content": "you just like",
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},
{
"id": 1042316672532496400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:54:20",
"content": "think of it",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:55:43",
"content": "also was this a question you needed to answer for the problem?",
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"timestamp": "11/16/2022 00:55:55",
"content": "because i kinda sweeped it under the rug",
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"timestamp": "11/16/2022 00:56:14",
"content": "so for c1.P[x]_1+c2.P[x]_2=0\none must be of different degree so no one can be product of the other right?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:56:36",
"content": "what?",
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"timestamp": "11/16/2022 00:57:10",
"content": "I meant for finding the basis",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 00:58:00",
"content": "still don't know wym :c",
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"author_name": "ryxx",
"timestamp": "11/16/2022 00:59:28",
"content": ":c",
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"author_name": "Kedi",
"timestamp": "11/16/2022 01:01:08",
"content": "I just trying to wrap my head around how did we determine that the valid basis for P_n is {1,x,x^2,...}",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:01:33",
"content": "not *the*",
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"timestamp": "11/16/2022 01:01:53",
"content": "just *a* valid basis",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:01:56",
"content": "for P_2",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:04:34",
"content": "actually just noticed, no, that's not right",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:04:52",
"content": "you added ... which shouldn't be there",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:06:47",
"content": "and are you still stuck on how you \"find\" it? or on how to show it's a basis (assuming it's already been thought of)",
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"timestamp": "11/16/2022 01:08:12",
"content": "or if you keep it as P_n, it should end with x^n, not ...",
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"timestamp": "11/16/2022 01:13:12",
"content": "yes u're right\nbut i think the basis of a polynome are {1,x,x^2} because these are what defines a polynome, no other basis can be found unless we use the exchange lemma",
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"timestamp": "11/16/2022 01:13:37",
"content": "{2,x,x^2} is also a basis lol",
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"timestamp": "11/16/2022 01:16:30",
"content": "lol",
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"author_name": "Kedi",
"timestamp": "11/16/2022 01:17:07",
"content": "so we can't prove why {1,x,x^2} can be basis or derive it?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:17:20",
"content": "nono we can haha",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:20:20",
"content": "we'd need to prove that any polynomial of degrees at most 2 can built from things in {1,x,x^2}, and that if a,b,c are real numbers and a + bx + cx^2 = 0 (but be careful with what that means!!!), then a = b = c = 0",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:20:44",
"content": "first part is ez",
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"id": 1042323482387689500,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:21:23",
"content": "the second part is trickier",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:22:00",
"content": "by \"a + bx + cx^2 = 0\" i mean a + bx + cx^2 = 0 is true for every real number x",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/16/2022 01:24:02",
"content": "i really need to get back to my own homework though",
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"timestamp": "11/16/2022 01:32:07",
"content": "@Kedi Has your question been resolved?",
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"timestamp": "11/16/2022 01:32:48",
"content": "thanks",
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] | help-9 | b82d14dfb8ac43fc959614e9ea5e329c |
201,638 | [
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"timestamp": "11/16/2022 01:37:41",
"content": "Ok so now I'm at the point of solving for x and like I'm getting imaginary numbers",
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"timestamp": "11/16/2022 01:37:46",
"content": "That seems very very wrong",
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"id": 1042327645972602900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/16/2022 01:37:56",
"content": "#54?",
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"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "11/16/2022 01:37:59",
"content": "Yeah",
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"id": 1042327668881887400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/16/2022 01:38:01",
"content": "show your work thus far",
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},
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"id": 1042327698749542400,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "11/16/2022 01:38:08",
"content": "Gotchu",
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"id": 1042327721432318000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/16/2022 01:38:14",
"content": "idt you should be getting any imaginary nonsense here",
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"timestamp": "11/16/2022 01:39:17",
"content": "Nvm I see it",
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"id": 1042328012441526300,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "11/16/2022 01:39:23",
"content": "I added x instead of subtracted",
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"id": 1042328017172709400,
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"timestamp": "11/16/2022 01:39:24",
"content": "Ew",
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"id": 1042328595839865000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/16/2022 01:41:42",
"content": "yeah you screwed up on that step",
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"id": 1042328628148572300,
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"timestamp": "11/16/2022 01:41:50",
"content": "the slope would be +1/2, not -1/2",
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"timestamp": "11/16/2022 01:42:48",
"content": "yup",
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"timestamp": "11/16/2022 01:42:54",
"content": "grrrr",
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"author_name": "Lili_Monarch",
"timestamp": "11/16/2022 01:43:03",
"content": "at least it's the last problem, thanks for ur help",
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"timestamp": "11/16/2022 01:43:06",
"content": ".close",
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"timestamp": "11/16/2022 01:43:06",
"content": "Channel closed",
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] | help-9 | 5a8882ff0c15445fb7933b1f9b6dad6a |
201,639 | [
{
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"id": 1042333039029657600,
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"timestamp": "11/16/2022 01:59:22",
"content": "help 😭",
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"author_id": 1042305509191057400,
"author_name": "tayyab",
"timestamp": "11/16/2022 02:00:25",
"content": "B being midpoint implies what kind of relationship exists between AB and AC?",
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"id": 1042333691025834000,
"author_id": 409244699975614460,
"author_name": "kai~",
"timestamp": "11/16/2022 02:01:57",
"content": "AB is half of AC maybe? honestly i have no idea",
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"id": 1042333931023900700,
"author_id": 1042305509191057400,
"author_name": "tayyab",
"timestamp": "11/16/2022 02:02:54",
"content": "Yes, that is true.",
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},
{
"id": 1042333967950561300,
"author_id": 1042305509191057400,
"author_name": "tayyab",
"timestamp": "11/16/2022 02:03:03",
"content": "What about AB and BC?",
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"id": 1042334391650758700,
"author_id": 409244699975614460,
"author_name": "kai~",
"timestamp": "11/16/2022 02:04:44",
"content": "that they equal possibly?",
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"author_name": "tayyab",
"timestamp": "11/16/2022 02:04:59",
"content": "Yes they do",
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},
{
"id": 1042334896066134000,
"author_id": 409244699975614460,
"author_name": "kai~",
"timestamp": "11/16/2022 02:06:44",
"content": "would the equation be x - 7 = 5x - 43?",
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},
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"id": 1042335449940766700,
"author_id": 1042305509191057400,
"author_name": "tayyab",
"timestamp": "11/16/2022 02:08:56",
"content": "just equate AB and BC",
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},
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"id": 1042335496363315200,
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"author_name": "tayyab",
"timestamp": "11/16/2022 02:09:07",
"content": "3x-15 = 4x -21",
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"timestamp": "11/16/2022 02:21:45",
"content": "@kai~ Has your question been resolved?",
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"timestamp": "11/16/2022 02:53:27",
"content": "@kai~ Has your question been resolved?",
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"timestamp": "11/16/2022 02:54:12",
"content": "Channel closed",
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}
] | help-9 | 18a3468fe3af4892942adcf81d50c046 |
201,640 | [
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"timestamp": "10/23/2022 02:20:30",
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201,641 | [
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"content": "How do I answer this q?",
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"content": "Using binomial probability",
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"author_name": "Circle",
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"timestamp": "11/16/2022 03:18:03",
"content": "but then uve to account for order as well",
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"content": "@iwasamistake Has your question been resolved?",
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"timestamp": "11/16/2022 03:24:26",
"content": "it describes one outcome exactly",
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"timestamp": "11/16/2022 03:25:19",
"content": "you just don't do the choose thing",
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"content": "like, it's awkward to use binomial distribution for this",
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"content": "The chapter is binomial probability tho",
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"author_name": "iwasamistake",
"timestamp": "11/16/2022 03:31:10",
"content": "So I need to know how to do it that way",
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"timestamp": "11/16/2022 03:31:12",
"content": "well it would be important to understand binomial probability",
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"timestamp": "11/16/2022 03:31:24",
"content": "I do",
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"content": "you just can't use it neatly",
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"content": "I just don’t get it when it has order",
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"timestamp": "11/16/2022 03:31:55",
"content": "sounds like you don't then",
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"timestamp": "11/16/2022 03:31:56",
"content": "How would I approach it?",
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"author_id": 400414176570507260,
"author_name": "iwasamistake",
"timestamp": "11/16/2022 03:32:07",
"content": "Can you explain?",
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"author_name": "frownyfrog",
"timestamp": "11/16/2022 03:32:57",
"content": "with binomial probability you're looking to add up all events where x=something",
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"timestamp": "11/16/2022 03:33:51",
"content": "like, 3 out of 4 coinflips\n0.5 * 0.5 * 0.5 * 0.5 + \n0.5 * 0.5 * 0.5 * 0.5 +\n0.5 * 0.5 * 0.5 * 0.5 +\n0.5 * 0.5 * 0.5 * 0.5",
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"timestamp": "11/16/2022 03:34:20",
"content": "all terms are the same, so you can multiply by the number of terms instead",
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"timestamp": "11/16/2022 03:34:50",
"content": "nCr gives you the number of events you would add up, and you multiply",
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"timestamp": "11/16/2022 03:35:39",
"content": "in this problem you're asked about the probability of one event",
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"author_name": "frownyfrog",
"timestamp": "11/16/2022 03:35:49",
"content": "nothing to add up or multiply",
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"id": 1042357537875431400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "11/16/2022 03:36:43",
"content": "only the 0.2 × 0.8 × 0.2 × 0.8 × 0.2 × 0.8 is considered",
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"timestamp": "11/16/2022 03:37:16",
"content": "if you know binomial distribution you know how to write it \"elegantly\"",
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"timestamp": "11/16/2022 03:37:27",
"content": "0.2 ^ 3 × 0.8 ^ 3",
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"timestamp": "11/16/2022 03:37:35",
"content": "that's all it's good for here",
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"timestamp": "11/16/2022 03:38:04",
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201,642 | [
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"timestamp": "11/16/2022 03:38:08",
"content": ".reopen",
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"timestamp": "11/16/2022 03:38:10",
"content": "✅",
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"timestamp": "11/16/2022 03:38:14",
"content": "Ohhhhh",
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"timestamp": "11/16/2022 03:38:16",
"content": "Thank you",
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"author_name": "iwasamistake",
"timestamp": "11/16/2022 03:42:12",
"content": "So they all have a 6C1 in front of it right",
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"content": "i'm not sure",
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"timestamp": "11/16/2022 03:57:12",
"content": "@iwasamistake Has your question been resolved?",
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201,643 | [
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"content": "Am I correct to call this line integral?",
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"timestamp": "11/16/2022 04:00:34",
"content": "That is a line integral yes",
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"content": "is it because of the interception and it makes an ellipse?",
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"content": "Not sure what you mean",
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"content": "x^2 + y^2 = 16 and is a cylinder and z = x+y is a plane. when they are intercepting, that makes a line",
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"content": "It's still called a line integral whatever the curve is",
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"timestamp": "11/16/2022 04:05:32",
"content": "in our case our line is an ellipse",
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"content": "@DIOR Has your question been resolved?",
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201,644 | [
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"timestamp": "11/16/2022 04:27:58",
"content": "In this corollary, what exactly is meant by \"up to translation\"? I know that solutions to autonomous differential equations are invariant under translations in $t$, so does \"up to translation\" mean \"including translate solutions\" in this case?",
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"timestamp": "11/16/2022 04:28:01",
"content": "**Anders**",
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"content": "@Anders Has your question been resolved?",
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"content": "@Helpers",
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"id": 1042388968404176900,
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"author_name": "Mélo",
"timestamp": "11/16/2022 05:41:36",
"content": "I'm not a native English speaker, but the way I understand it is that your list doesn't necessarily exhausts all maximal solutions, but all the ones not exhausted are just translations of ones that are",
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"timestamp": "11/16/2022 05:41:48",
"content": "so up to translations, you have them all",
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"timestamp": "11/16/2022 05:51:38",
"content": "yeah i think this is probably correct, thanks",
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"content": "@Anders Has your question been resolved?",
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"content": "@Anders Has your question been resolved?",
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] | help-9 | d11d3d556e6841a0aa51fefbca189156 |
201,645 | [
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"id": 1042493938294075500,
"author_id": 723414807470145500,
"author_name": "Baylum",
"timestamp": "11/16/2022 12:38:43",
"content": "Having some issues with divergents",
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"timestamp": "11/16/2022 12:40:45",
"content": "So divergent test states that when the limit as n approaches infinity is not equal to 0, the series is divergent. Geometric series is when |r| => 1. P-Series is when p < 1.\n\nHowever, I do not really understand telescoping series-when does it diverge? What value from the limit would I get to show that it diverges?",
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"content": "0? +/- infinity?",
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201,646 | [
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"content": "I'm not sure what concept I need to solve it",
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"content": "I know it is related rates",
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"timestamp": "11/16/2022 13:22:47",
"content": "but I have no idea how it works",
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] | help-9 | a4bf8e4249bb433eb0505e4a18f7614b |
201,647 | [
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"id": 1042512813672902700,
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"author_name": "Tulio",
"timestamp": "11/16/2022 13:53:43",
"content": "Hello, I'm trying to figure out how to do error propagation of a linear regression. Can anyone help me out?",
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"content": "I've done a linear regression between field measured data (y) and a continuous measurement probe (x) to establish a relation between the two. I then use such relation to convert the time series of the measurement probe (x) into y units. I am now required to compute the uncertainty of my estimations by means of error propagation",
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"content": "To be specific, I have installed a turbidity sensor to measure turbidity in a river. The turbidity from the sensor is expressed in light units (NTU) that are not usable. Therefore, field samples were taken at different times to measure thr Turbidity in terms of concentration(eg mg/l) throught lab procedures, and which magnitudes are related to the NTU from the turbidity sensor.\n\nI've done a least-squares linear regression with the data and used it to obtain concetration time series from the turbidity sensor",
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"content": "@Tulio Has your question been resolved?",
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"content": "@Tulio Has your question been resolved?",
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"content": "@Tulio Has your question been resolved?",
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"content": "@Tulio Has your question been resolved?",
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201,648 | [
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"id": 1042610982066852000,
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"content": "He",
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"timestamp": "11/16/2022 20:23:59",
"content": "Uh I need help",
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"author_name": "cantprogram",
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"content": ":JustAsk:",
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"id": 1042611440063881200,
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"author_name": "Xonsus",
"timestamp": "11/16/2022 20:25:38",
"content": "So this isn’t a difficult math question but I’m kinda dumb and idk what it is so if I start a patrol at 6:25 PM and I end the patrol at 7:17 PM what was the total time I patrolled?",
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"timestamp": "11/16/2022 20:27:53",
"content": "35 + 17",
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"id": 1042612079565221900,
"author_id": 950197197713064000,
"author_name": "Xonsus",
"timestamp": "11/16/2022 20:28:10",
"content": "52",
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"author_id": 718461587236716500,
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"timestamp": "11/16/2022 20:28:21",
"content": "Good",
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"id": 1042612160053923800,
"author_id": 950197197713064000,
"author_name": "Xonsus",
"timestamp": "11/16/2022 20:28:29",
"content": "52 minutes?",
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"timestamp": "11/16/2022 20:43:30",
"content": "@Xonsus Has your question been resolved?",
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] | help-9 | b8c3865d118d4e10bcd782d8198e22b6 |
201,649 | [
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"content": "Available help channel!",
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"id": 1042629449679642600,
"author_id": 986949429141581800,
"author_name": "cookie2",
"timestamp": "11/16/2022 21:37:11",
"content": "csc ^-1 x = y",
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"content": "Pinned a message.",
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"id": 1042629473964658700,
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"timestamp": "11/16/2022 21:37:17",
"content": "is this equal to csc y = x?",
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"timestamp": "11/16/2022 21:37:29",
"content": "and can you visualize the operation?",
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"id": 1042629911715782800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "11/16/2022 21:39:02",
"content": "Is it (cscx)^-1 or arccosecx",
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"id": 1042631622207479800,
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"timestamp": "11/16/2022 21:45:49",
"content": "$\\csc^{-1}\\left(x\\right)$",
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"content": "**cookie2**",
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"timestamp": "11/16/2022 21:46:30",
"content": "Overall, my end goal is to prove that the derivative of this value is equal to $\\frac{1}{x\\sqrt{x^{2}-1}}$",
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"content": "@cookie2 Has your question been resolved?",
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"content": "@cookie2 Has your question been resolved?",
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"content": "@cookie2 Has your question been resolved?",
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] | help-9 | a2f25c3be86d47e89cc8a2827fb39dbe |
201,650 | [
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"author_name": "Afr4zTh3Alc4traZ",
"timestamp": "11/17/2022 00:52:09",
"content": "Can I determine any other corresponding parts of the triangles besides the shared hypotenuse and right angles that are congruent?",
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"timestamp": "11/17/2022 00:58:30",
"content": "No other information given?",
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"timestamp": "11/17/2022 01:04:32",
"content": "Nah",
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] | help-9 | 331f34ead93e4ae2b58c4b552f7b77ff |
201,651 | [
{
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"timestamp": "10/23/2022 02:32:27",
"content": "It is known that the surface area of a hot air balloon is given by s(r) = 4πr^2 where r is the radius of the balloon in meters. Find the surface area of the balloon as a function of time if the radius is increasing with time t (in seconds) according to the formula r(t) = 2/3 t^3",
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"content": "please help",
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"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/23/2022 02:39:41",
"content": "just substitute the radius into s(r) and you'll get the surface area as a function of time",
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"content": "how",
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"timestamp": "10/23/2022 02:42:06",
"content": "what even is the radius",
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"content": "r(t) = 2/3 t^3",
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"content": "then?",
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"timestamp": "10/23/2022 02:48:00",
"content": "how am i supposed to do this tf",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/23/2022 02:48:53",
"content": "**nichoals**",
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"timestamp": "10/23/2022 02:49:45",
"content": "whats next",
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"content": "simplify the function",
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"author_name": "$nichoals$",
"timestamp": "10/23/2022 02:50:03",
"content": "then you have your answer",
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"id": 1033633404119425000,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 02:50:07",
"content": "thats it?",
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"id": 1033633426839961600,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/23/2022 02:50:12",
"content": "yes",
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"author_name": "$nichoals$",
"timestamp": "10/23/2022 02:50:38",
"content": "because now you have the surface area as a function of time, which is what the question wants",
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"author_name": "xjqstin",
"timestamp": "10/23/2022 02:53:33",
"content": "how does the answer key get 16/9πt^6",
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"id": 1033634293236375600,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 02:53:39",
"content": "how does it get 16/9",
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"id": 1033634431493222500,
"author_id": 683555600877224000,
"author_name": "$nichoals$",
"timestamp": "10/23/2022 02:54:12",
"content": "what is (2/3)^2?",
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"author_name": "xjqstin",
"timestamp": "10/23/2022 02:54:23",
"content": "oh right",
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"timestamp": "10/23/2022 02:54:26",
"content": "i forgot to square the 2/3",
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"author_name": "xjqstin",
"timestamp": "10/23/2022 02:55:22",
"content": "thanks",
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},
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"id": 1033634738797301800,
"author_id": 386464668488826900,
"author_name": "xjqstin",
"timestamp": "10/23/2022 02:55:25",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 02:55:26",
"content": "Channel closed",
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] | help-9 | 4afd4901771c4e82885551eb9ddbd5ca |
201,652 | [
{
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"content": "I think that's... how I would do it",
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"author_name": "Ｈｅｒｅｌｓ",
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"content": "can you remove the \"dx\" tho",
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"content": "oh",
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"timestamp": "11/17/2022 01:54:12",
"content": "my solution appears to be wrong",
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"timestamp": "11/17/2022 02:09:13",
"content": "@Dr. Leonard McCoy Has your question been resolved?",
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"content": "Your arctan integral is wrong. Use usub",
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"content": "Also you're supposed to solve for A,B,C first",
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"content": "uhh",
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"content": "ok",
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"timestamp": "11/17/2022 02:29:05",
"content": "I can't seem to find clear explanations on this",
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"timestamp": "11/17/2022 02:29:19",
"content": "but I guess I'll try again tomorrow, brain is doodoo",
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"timestamp": "11/17/2022 02:59:19",
"content": "@Dr. Leonard McCoy Has your question been resolved?",
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] | help-9 | e0cb782b0a30410a9e901d563f74356e |
201,653 | [
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"id": 1042721424730751000,
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"content": "can someone help explain to me why this is true (discrete math)",
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{
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "11/17/2022 03:44:00",
"content": "in short, the inside of the parentheses is very similar to 3n",
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"content": "how do I show that?",
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"content": "I see 3n^3 and n^2",
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"content": "so I understand how to get 3n",
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"timestamp": "11/17/2022 03:45:06",
"content": "but like from what rule can I make that comparison",
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"timestamp": "11/17/2022 03:46:04",
"content": "depends what facts you are allowed to use",
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"timestamp": "11/17/2022 03:47:34",
"content": "do you have anything more than the definition of big O?",
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"content": "the ratio between these functions is bounded from both sides for n ≥ 10",
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"timestamp": "11/17/2022 03:50:06",
"content": "got what",
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"timestamp": "11/17/2022 03:50:15",
"content": "the number 10 i just pulled out of my ass",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/17/2022 03:50:50",
"content": "all asymptotics like big O, big theta etc. can be expressed in terms of the ratio of the two functions involved",
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"id": 1042723531248652300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/17/2022 03:51:02",
"content": "so long as the function _inside_ the big-whatever isn't equal to 0 too often",
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"id": 1042723625008107500,
"author_id": 196492147917193200,
"author_name": "Machew",
"timestamp": "11/17/2022 03:51:25",
"content": "ahhhhh",
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"id": 1042723630930460700,
"author_id": 196492147917193200,
"author_name": "Machew",
"timestamp": "11/17/2022 03:51:26",
"content": "I see",
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"id": 1042723736811491300,
"author_id": 196492147917193200,
"author_name": "Machew",
"timestamp": "11/17/2022 03:51:51",
"content": "I get it ty ty",
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"id": 1042723975098269700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "11/17/2022 03:52:48",
"content": "f ∈ O(g) means |f/g| is bounded away from infinity (i.e. |f/g| ≤ c)\nf ∈ Ω(g) means |f/g| is bounded away from 0 (i.e. |f/g| ≥ c' > 0)\nand f ∈ Θ(g) means both at once",
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"id": 1042724225573720000,
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"author_name": "Machew",
"timestamp": "11/17/2022 03:53:48",
"content": "oh so you basically said both sides are bounded for n ≥",
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"id": 1042724419069542400,
"author_id": 196492147917193200,
"author_name": "Machew",
"timestamp": "11/17/2022 03:54:34",
"content": "for big theta",
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"id": 1042724732459548700,
"author_id": 196492147917193200,
"author_name": "Machew",
"timestamp": "11/17/2022 03:55:49",
"content": ".close",
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{
"id": 1042724740063825900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 03:55:50",
"content": "Channel closed",
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}
] | help-9 | 96ad192a2e984e10991abc9a69c4f02b |
201,654 | [
{
"id": 1042727512368754700,
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 04:06:51",
"content": "Available help channel!",
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"id": 1042729640856387600,
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"author_name": "Kashichishi",
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"timestamp": "11/17/2022 04:15:20",
"content": "Pinned a message.",
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"author_id": 746214282919673900,
"author_name": "Kashichishi",
"timestamp": "11/17/2022 04:15:40",
"content": "I need to know what is the measure of the intercepted arc?",
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"id": 1042729736805298200,
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"timestamp": "11/17/2022 04:15:42",
"content": "of bc",
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"id": 1042729792199475200,
"author_id": 746214282919673900,
"author_name": "Kashichishi",
"timestamp": "11/17/2022 04:15:55",
"content": "if the value of the angle is 90",
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"id": 1042729867126517800,
"author_id": 746214282919673900,
"author_name": "Kashichishi",
"timestamp": "11/17/2022 04:16:13",
"content": "and it is central agnnle",
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{
"id": 1042729909920993300,
"author_id": 746214282919673900,
"author_name": "Kashichishi",
"timestamp": "11/17/2022 04:16:23",
"content": "should be the value of the arc is 90 also?",
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"author_name": "Kashichishi",
"timestamp": "11/17/2022 04:16:42",
"content": "",
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"id": 1042730021053272000,
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"author_name": "Kashichishi",
"timestamp": "11/17/2022 04:16:50",
"content": "here is the whole illustration",
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 04:31:50",
"content": "@Kashichishi Has your question been resolved?",
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"id": 1042741387810062300,
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 05:02:00",
"content": "@Kashichishi Has your question been resolved?",
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"id": 1042747790654181500,
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"author_name": "mreow",
"timestamp": "11/17/2022 05:27:26",
"content": "ysz",
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"id": 1042747799743234000,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "11/17/2022 05:27:28",
"content": "yes",
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"id": 1042747861424685000,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "11/17/2022 05:27:43",
"content": "if its a central angle of 90 the measure of the arc is also 90",
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"author_id": 746214282919673900,
"author_name": "Kashichishi",
"timestamp": "11/17/2022 05:32:08",
"content": "thanks!!!!!!!!!",
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"author_id": 746214282919673900,
"author_name": "Kashichishi",
"timestamp": "11/17/2022 05:32:11",
"content": ".close",
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"id": 1042748988123791400,
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 05:32:12",
"content": "Channel closed",
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] | help-9 | 24ae3d4e95bb4f82b2602649e63c4d0a |
201,655 | [
{
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"timestamp": "11/17/2022 06:29:18",
"content": "Available help channel!",
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"id": 1042764607254704100,
"author_id": 777760100906696700,
"author_name": "IllegalSushi",
"timestamp": "11/17/2022 06:34:15",
"content": "Could someone jog my memory and explain what each component of the formula y = ax^2+bx+c represents and how to plot a graph using this formula?\n\nEdit: and y = a(x-h)^2 + k",
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"content": "Pinned a message.",
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"timestamp": "11/17/2022 06:49:16",
"content": "@IllegalSushi Has your question been resolved?",
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"timestamp": "11/17/2022 06:49:40",
"content": "@Helpers",
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"id": 1042768650102390800,
"author_id": 782857412234444800,
"author_name": "efex",
"timestamp": "11/17/2022 06:50:19",
"content": "Idk",
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"author_name": "efex",
"timestamp": "11/17/2022 06:50:45",
"content": "But If you are struggling with trig/geometry i can help",
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"id": 1042769019519897700,
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"author_name": "IllegalSushi",
"timestamp": "11/17/2022 06:51:47",
"content": "Ah, I'll pass, sorry. I'm doing alright in those, I just need help with this ^^ :)",
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"author_name": "IllegalSushi",
"timestamp": "11/17/2022 06:52:09",
"content": "Thanks for the offer though",
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"id": 1042769160675016700,
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"author_name": "efex",
"timestamp": "11/17/2022 06:52:21",
"content": "Yw lol",
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:05:06",
"content": "'a' is essentially how 'steep' the parabola is",
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"content": "the bigger a is the more steep it is",
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:05:43",
"content": "'c' is how much its translated by",
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:06:00",
"content": "weather the whole parbola has been shifted up and down",
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"timestamp": "11/17/2022 07:06:15",
"content": "'b' is a bit of tricky one to explain",
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"timestamp": "11/17/2022 07:07:10",
"content": "Ah, so the \"thinner\" or \"smaller\" the parabola is....?",
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"timestamp": "11/17/2022 07:07:53",
"content": "if it were thinner , then yes a would be a high value essentially",
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"timestamp": "11/17/2022 07:08:21",
"content": "Got it",
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"timestamp": "11/17/2022 07:08:32",
"content": "this is when a =1",
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"timestamp": "11/17/2022 07:08:47",
"content": "as you can see when a = 3",
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"timestamp": "11/17/2022 07:08:58",
"content": "the parabola is a lot 'thinner'",
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"timestamp": "11/17/2022 07:09:52",
"content": "'b' just defines where the minimum / maximum / vertex of the graph is gonne be",
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"timestamp": "11/17/2022 07:10:05",
"content": "ohh",
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"timestamp": "11/17/2022 07:10:18",
"content": "so is this rule also applied to y = a(x-h)^2 + k",
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"content": "mhm",
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"timestamp": "11/17/2022 07:11:07",
"content": "wait so what's h then?",
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"timestamp": "11/17/2022 07:11:22",
"content": "h is just another constant",
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"timestamp": "11/17/2022 07:11:27",
"content": "OHHH",
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"timestamp": "11/17/2022 07:11:28",
"content": "wait",
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"timestamp": "11/17/2022 07:11:30",
"content": "do you mean",
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"timestamp": "11/17/2022 07:11:34",
"content": "a(x-h)^2 +k",
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"timestamp": "11/17/2022 07:11:43",
"content": "OH",
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"timestamp": "11/17/2022 07:11:47",
"content": "yep sorry",
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"timestamp": "11/17/2022 07:11:52",
"content": "lmao thats alright",
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:12:02",
"content": "this is just another way of represneting a quadratic",
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"timestamp": "11/17/2022 07:12:22",
"content": "(h,k) are the coordinates of the minimum/max/vertex",
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"timestamp": "11/17/2022 07:12:43",
"content": "I assume k alone is also how many units i translate the parabola (is it?)",
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"content": "correct",
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"timestamp": "11/17/2022 07:13:15",
"content": "'a' again is the steepness",
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"timestamp": "11/17/2022 07:13:50",
"content": "however 'h' in this case translates the parobola left and right",
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:14:01",
"content": "so 'k' shifts it up and down and 'h' does left and right",
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"content": "ohh",
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"author_id": 777760100906696700,
"author_name": "IllegalSushi",
"timestamp": "11/17/2022 07:14:28",
"content": "I think I got it now, thanks for your help :D",
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"id": 1042774782220980200,
"author_id": 777760100906696700,
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"timestamp": "11/17/2022 07:14:41",
"content": "I'll take notes to revise later",
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:14:46",
"content": "anytime :)",
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"id": 1042774815657967700,
"author_id": 777760100906696700,
"author_name": "IllegalSushi",
"timestamp": "11/17/2022 07:14:49",
"content": ".close",
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},
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"id": 1042774818539454600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 07:14:50",
"content": "Channel closed",
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}
] | help-9 | 9f5015aef91345a1b7b624c21d4a9389 |
201,656 | [
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"id": 1042775609723605000,
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"id": 1042775652895572000,
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"timestamp": "11/17/2022 07:18:09",
"content": "They should back off not you",
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},
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"id": 1042775665327493100,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/17/2022 07:18:12",
"content": "In any case",
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},
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"id": 1042775709304758300,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/17/2022 07:18:22",
"content": "Are you familiar with taking the components of vectors?",
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"id": 1042775747204497400,
"author_id": 428505936190111740,
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"timestamp": "11/17/2022 07:18:31",
"content": "somewhat but not in this sense",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/17/2022 07:18:44",
"content": "You can split that 25 degree one",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/17/2022 07:18:49",
"content": "Along the coordinate axes",
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:18:55",
"content": "ive done magnitudes and vectures for a regular math class but its a bit different with this structures class",
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"timestamp": "11/17/2022 07:20:43",
"content": "so would it be 250#cos25",
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"id": 1042776410177151100,
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:21:10",
"content": "and 150-sin 25?",
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"timestamp": "11/17/2022 07:21:33",
"content": "Along the x axis 250 cos 25 yes",
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"timestamp": "11/17/2022 07:21:52",
"content": "and for the y axis 150 - 250 sin 25",
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:25:42",
"content": "so after my Frx and Fry i do the pythag theorum correct?",
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:29:40",
"content": "This is my work????",
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:33:59",
"content": "@Helpers",
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},
{
"id": 1042781281349537800,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 07:40:31",
"content": "@Helpers help please",
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"id": 1042781307589107700,
"author_id": 742660101349048300,
"author_name": "Voled",
"timestamp": "11/17/2022 07:40:37",
"content": "Yes",
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"timestamp": "11/17/2022 07:40:47",
"content": "looks good @JuJu",
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"content": "It's good@JuJu",
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:41:11",
"content": "thank you and if i have a couple others i nees help on should i stay here?",
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"timestamp": "11/17/2022 07:41:20",
"content": "Ok?",
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"id": 1042782218537402400,
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:44:14",
"content": "M = FDcosx",
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"author_name": "JuJu",
"timestamp": "11/17/2022 07:44:58",
"content": "? im sorry not sure what that means in those terms",
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"id": 1042782788228747300,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 07:46:30",
"content": "(7) (400 cos 50)",
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"id": 1042783512610222200,
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"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:49:23",
"content": "mb",
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"id": 1042783551185236000,
"author_id": 318313050404814850,
"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:49:32",
"content": "its (7)(400 sin 50)",
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"id": 1042783571837997200,
"author_id": 318313050404814850,
"author_name": "ikraamampampam",
"timestamp": "11/17/2022 07:49:37",
"content": "i think",
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"id": 1042784668493291500,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 07:53:58",
"content": "is the second just (400) (10)?",
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"id": 1042784874542682100,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 07:54:48",
"content": "also is it plus or minus for both of them?",
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{
"id": 1042785467738902500,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 07:57:09",
"content": "@Helpers",
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},
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"id": 1042785562932813800,
"author_id": 742660101349048300,
"author_name": "Voled",
"timestamp": "11/17/2022 07:57:32",
"content": "It's 410",
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"id": 1042786309506355300,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 08:00:30",
"content": "?",
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"id": 1042786740416565200,
"author_id": 742660101349048300,
"author_name": "Voled",
"timestamp": "11/17/2022 08:02:12",
"content": "What",
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},
{
"id": 1042787557999657000,
"author_id": 428505936190111740,
"author_name": "JuJu",
"timestamp": "11/17/2022 08:05:27",
"content": "im not sure what that meant i dont know how to setup the entire equation",
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"id": 1042789254616580100,
"author_id": 428505936190111740,
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"timestamp": "11/17/2022 08:12:12",
"content": "@Helpers",
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"id": 1042793030400364500,
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 08:27:12",
"content": "@JuJu Has your question been resolved?",
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"id": 1042794593961394300,
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"timestamp": "11/17/2022 08:33:25",
"content": "@Helpers how would I write this out? (7) (400 sin 50) +(400)(10)?",
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"id": 1042798300857909200,
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"timestamp": "11/17/2022 08:48:09",
"content": "1000",
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"id": 1042800954594050200,
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"author_name": "JuJu",
"timestamp": "11/17/2022 08:58:41",
"content": ".close",
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"id": 1042800957806874600,
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"timestamp": "11/17/2022 08:58:42",
"content": "Channel closed",
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}
] | help-9 | 051e6247b49a46428fc0f685d073ebf9 |
201,657 | [
{
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"content": "Available help channel!",
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},
{
"id": 1042801654736621600,
"author_id": 886222223097090000,
"author_name": "Veteran-Plus",
"timestamp": "11/17/2022 09:01:28",
"content": "how to solve 35",
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"content": "Pinned a message.",
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"timestamp": "11/17/2022 09:01:48",
"content": "find x",
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},
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"id": 1042802047814217900,
"author_id": 470643117318602750,
"author_name": "-sleepy-",
"timestamp": "11/17/2022 09:03:02",
"content": "no",
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"id": 1042804716469498000,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "11/17/2022 09:13:38",
"content": "I believe you get a cubic after using this formula for tan 2x",
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"content": "but I haven't checked",
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"timestamp": "11/17/2022 09:18:45",
"content": "@Veteran-Plus Has your question been resolved?",
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"author_name": "Avalonbladeworks",
"timestamp": "11/17/2022 09:19:48",
"content": "take the sqrt(3)tanx. tan2x to right side\n\nand take sqrt3 as common",
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"content": "Channel closed",
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] | help-9 | 096e935ae5fb407ba41beedcfc0cf421 |
201,658 | [
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"author_name": "RektDynamic",
"timestamp": "11/17/2022 09:25:07",
"content": "I have 4 senior math problems if someone could help me solve them please?",
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"content": "Pinned a message.",
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"content": "Channel closed",
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] | help-9 | 708ed8f7f31a4d9daa1122ddedd7d37a |
201,659 | [
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] | help-9 | 37aa784f769943b7a86aa82e3e7b3039 |
201,660 | [
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] | help-9 | 054fd869e0424f21842b6db5e105c23f |
201,661 | [
{
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"author_name": "♡A(lex)♡",
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"content": "Oh how do you it then",
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"author_name": "Deol",
"timestamp": "11/17/2022 11:45:45",
"content": "You can’t just equate it to anything?",
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"content": "How do you work it out",
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"author_name": "♡A(lex)♡",
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"content": "it is just asking you to expand and simplify, so just write it in quadratic form",
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"content": "i suppose",
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"author_name": "♡A(lex)♡",
"timestamp": "11/17/2022 11:46:25",
"content": "$ax^2+bx+c$",
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"id": 1042843176928546800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/17/2022 11:46:28",
"content": "**♡LexQa♡**",
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"timestamp": "11/17/2022 11:47:12",
"content": "Yeah okay but how can I work it out",
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"content": "You just have to expand (x+9)(x+10)",
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"content": "Yeah I did that my answer was x19 so How convert to quadratic",
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"timestamp": "11/17/2022 11:48:08",
"content": "No it wasn’t",
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"content": "Do you know how to multiply binomials?",
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"content": "No",
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"timestamp": "11/17/2022 11:49:42",
"content": "You should look that up",
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"id": 1042844035842314400,
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"author_name": "♡A(lex)♡",
"timestamp": "11/17/2022 11:49:53",
"content": "$(a+b)(c+d) = ac + ad + bc + bd$",
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"id": 1042844045417914500,
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"timestamp": "11/17/2022 11:49:55",
"content": "**♡LexQa♡**",
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"timestamp": "11/17/2022 11:49:58",
"content": "There’s plenty of useful resources available online",
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"id": 1042845999237972000,
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"timestamp": "11/17/2022 11:57:41",
"content": "Could you pls tell me answer so I can know",
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"timestamp": "11/17/2022 12:12:41",
"content": "@Wattzyn Has your question been resolved?",
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"timestamp": "11/17/2022 12:27:42",
"content": "Channel closed",
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] | help-9 | c036693ae387497fbb1401a241d586e4 |
201,662 | [
{
"id": 1033634994628857900,
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"content": "Available help channel!",
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"id": 1033636677354258600,
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"content": "open ellipse",
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"content": "Pinned a message.",
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"content": "open ellipse",
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"id": 1033636764071510000,
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"author_name": "Circle",
"timestamp": "10/23/2022 03:03:28",
"content": "is this like an ellipse where we just take the outer regions",
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"id": 1033636805188272100,
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"timestamp": "10/23/2022 03:03:38",
"content": "what",
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"timestamp": "10/23/2022 03:03:44",
"content": "you're gonna have to give an example",
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"timestamp": "10/23/2022 03:03:51",
"content": "idk",
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"timestamp": "10/23/2022 03:03:52",
"content": "im at",
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"author_name": "Circle",
"timestamp": "10/23/2022 03:04:05",
"content": "idk what r co maps too",
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"author_name": "Circle",
"timestamp": "10/23/2022 03:05:25",
"content": "idk isnt it like",
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"id": 1033637269971673200,
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"author_name": "Circle",
"timestamp": "10/23/2022 03:05:29",
"content": "z to az is",
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"id": 1033637327051956200,
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"author_name": "夢雪",
"timestamp": "10/23/2022 03:05:42",
"content": "you gotta just work it out",
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"id": 1033637344093421700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:05:46",
"content": "where the boundary is",
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"id": 1033637360765780100,
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"author_name": "Circle",
"timestamp": "10/23/2022 03:05:50",
"content": "n",
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"content": "",
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"timestamp": "10/23/2022 03:05:54",
"content": "z to b/z is",
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"timestamp": "10/23/2022 03:06:17",
"content": "both excluding boundary",
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"id": 1033637510036852700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:06:26",
"content": "no but",
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"id": 1033637521868992500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:06:29",
"content": "theyre added",
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"id": 1033637544065245300,
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"author_name": "Circle",
"timestamp": "10/23/2022 03:06:34",
"content": "yea",
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"id": 1033637559164735500,
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"author_name": "Circle",
"timestamp": "10/23/2022 03:06:38",
"content": "thats troubling",
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},
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"id": 1033637943094558700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:08:09",
"content": "so like",
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},
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"id": 1033637972110745600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:08:16",
"content": "(az^2+b)/z",
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"id": 1033638302898716800,
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"author_name": "夢雪",
"timestamp": "10/23/2022 03:09:35",
"content": "",
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"id": 1033638706554339300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:11",
"content": "idk so",
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"id": 1033638717769920500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:14",
"content": "how do i what",
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},
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"id": 1033638734337425400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:18",
"content": "i tried marking out 4 pts",
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},
{
"id": 1033638770320355500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:11:26",
"content": "you compute the whole boundary",
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"id": 1033638776964128800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:28",
"content": "i got it goes from the 4 points it hits",
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},
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"id": 1033638800561287300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:34",
"content": "1,-1,i,-i",
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},
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"id": 1033638812175302700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:36",
"content": "to",
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},
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"id": 1033638902172487800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:11:58",
"content": "a+b,-a-b,a-b,b-a",
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},
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"id": 1033639007478890500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:12:23",
"content": "so in this case the boundary is",
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},
{
"id": 1033639054794838000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:12:34",
"content": "boundary of D(0,1)",
"attachments": [],
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},
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"id": 1033639063401537700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:12:36",
"content": "and 0",
"attachments": [],
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},
{
"id": 1033639072368959600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:12:38",
"content": "yay?",
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},
{
"id": 1033639209879212000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/23/2022 03:13:11",
"content": "",
"attachments": [
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"id": 1033639342721224800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:13:43",
"content": "yes",
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},
{
"id": 1033639370789494800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:13:50",
"content": "how do i get the boundary from this tho",
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},
{
"id": 1033639493296734300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:14:19",
"content": "this kinda got me the boundary",
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},
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"id": 1033639530772844500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:14:28",
"content": ":meeku:",
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},
{
"id": 1033639545876517000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/23/2022 03:14:31",
"content": "",
"attachments": [
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{
"id": 1033639596694704300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:14:43",
"content": "LOL",
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},
{
"id": 1033639606488420400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:14:46",
"content": "yes that",
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},
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"id": 1033639618609950700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:14:49",
"content": "whats it called btw",
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},
{
"id": 1033639651556196500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:14:57",
"content": "e^it = cost+isint",
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},
{
"id": 1033639692886876200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:15:06",
"content": "the identity identity",
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},
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"id": 1033639770166927400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:15:25",
"content": "wot",
"attachments": [],
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},
{
"id": 1033639781046960300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:15:27",
"content": "the you should know its name identity",
"attachments": [],
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},
{
"id": 1033639849682550800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:15:44",
"content": "de moivers?",
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},
{
"id": 1033639873040625700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:15:49",
"content": "bruh",
"attachments": [],
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"reference": null
},
{
"id": 1033639876618358800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/23/2022 03:15:50",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 1033639898642665600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:15:55",
"content": "de moivres",
"attachments": [],
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"reference": null
},
{
"id": 1033639931567935500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:03",
"content": "ok anw",
"attachments": [],
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"reference": null
},
{
"id": 1033639938425618400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:05",
"content": "i got this",
"attachments": [],
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"reference": null
},
{
"id": 1033639949897048200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:08",
"content": "ill b back ltr",
"attachments": [],
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"reference": null
},
{
"id": 1033639963809566700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:11",
"content": "arigatou",
"attachments": [],
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"reference": null
},
{
"id": 1033639969119547400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:12",
"content": "💕",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033639990921531400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:17",
"content": "__Breakthrough__",
"attachments": [],
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"reference": null
},
{
"id": 1033640062493139000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:35",
"content": "__Level up Knowledge Sea Layer 5__",
"attachments": [],
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},
{
"id": 1033640077399687200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:38",
"content": "thanks",
"attachments": [],
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"reference": null
},
{
"id": 1033640082499964900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/23/2022 03:16:39",
"content": ".close",
"attachments": [],
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},
{
"id": 1033640085574406100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/23/2022 03:16:40",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 7346fcb394b646e7a2e5fecd34bad1ea |
201,663 | [
{
"id": 1042853803323560000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 12:28:41",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1042856056595943600,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:37:39",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 12:37:39",
"content": "Pinned a message.",
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}
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"id": 1042856095623942300,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:37:48",
"content": "i am lost at that line",
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},
{
"id": 1042856165710778500,
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"author_name": "Naf",
"timestamp": "11/17/2022 12:38:05",
"content": "",
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{
"id": 1042856182559281200,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:09",
"content": "this is the question",
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},
{
"id": 1042856201798565900,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/17/2022 12:38:13",
"content": "Generally the discriminant is b^2 - 4ac",
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},
{
"id": 1042856212250763400,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:16",
"content": "what happen to lamda",
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},
{
"id": 1042856238158991400,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:22",
"content": "i see",
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},
{
"id": 1042856279753892000,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:32",
"content": "so our lamda is like X",
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},
{
"id": 1042856302218592300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/17/2022 12:38:37",
"content": "In this case a = cos^2, b = -2cos and c = sin^2",
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},
{
"id": 1042856322426732500,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:42",
"content": "i get it",
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},
{
"id": 1042856329926156400,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:44",
"content": "thanks",
"attachments": [],
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},
{
"id": 1042856365984587900,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:52",
"content": "my brain jamed",
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},
{
"id": 1042856372011798500,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "11/17/2022 12:38:54",
"content": "Yes",
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},
{
"id": 1042856379586715800,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:38:56",
"content": ".close",
"attachments": [],
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},
{
"id": 1042856382464012300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 12:38:56",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 7f8a734418cf40e89f5604fca481c0bd |
201,664 | [
{
"id": 1042858586537218000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 12:47:42",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1042859129921863700,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 12:49:51",
"content": "$50^n/n!$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1042859132291661800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 12:49:52",
"content": "Pinned a message.",
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{
"id": 1042859143159095300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/17/2022 12:49:55",
"content": "**\\|Mo\\|**",
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"id": 1042859190965776400,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 12:50:06",
"content": "How can I simplify this so that the numerator is free of n?",
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},
{
"id": 1042859373099225100,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:50:49",
"content": "n is a variable",
"attachments": [],
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},
{
"id": 1042859424613683200,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:51:02",
"content": "nth tearm",
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"reference": null
},
{
"id": 1042859437414695000,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:51:05",
"content": "term",
"attachments": [],
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"reference": null
},
{
"id": 1042859489273057400,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:51:17",
"content": "its like sequence",
"attachments": [],
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},
{
"id": 1042859608210944000,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 12:51:45",
"content": "yes i have to show convergence or divergence",
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},
{
"id": 1042859654142763000,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:51:56",
"content": "oh",
"attachments": [],
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},
{
"id": 1042859664938905600,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:51:59",
"content": "i see",
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"reference": null
},
{
"id": 1042859728084148200,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:52:14",
"content": "let me check hold on",
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},
{
"id": 1042860062911242400,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:53:34",
"content": "https://www.youtube.com/watch?v=zg9N2gAf6a4",
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},
{
"id": 1042860082649645000,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:53:39",
"content": "this should explain",
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},
{
"id": 1042860135439143000,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:53:51",
"content": "try this after that ping the helpers",
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},
{
"id": 1042860203395256300,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:54:07",
"content": "as n tendes to 0 what happens",
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},
{
"id": 1042860285398110200,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:54:27",
"content": "and as n tends to infinity what happens u can find that way",
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},
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"id": 1042860356818718700,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:54:44",
"content": "lets me give u example",
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},
{
"id": 1042860450452344800,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:55:06",
"content": "n cant be 0 because the denominiter will be 0 so maths zero",
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},
{
"id": 1042860454441136100,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 12:55:07",
"content": "well when n tendens to 0 it should be 1 right?",
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"timestamp": "11/17/2022 12:55:14",
"content": "yes",
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"author_name": "|Mo|",
"timestamp": "11/17/2022 12:55:52",
"content": "but what about n --> infinite",
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"author_name": "Naf",
"timestamp": "11/17/2022 12:56:15",
"content": "u can test it",
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"timestamp": "11/17/2022 12:56:21",
"content": "with calculater",
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"author_name": "Naf",
"timestamp": "11/17/2022 12:56:25",
"content": "its a trick i use",
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"timestamp": "11/17/2022 12:56:28",
"content": "let me show u",
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"author_name": "cantprogram",
"timestamp": "11/17/2022 12:56:32",
"content": "n! grows faster than x^n",
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"author_name": "|Mo|",
"timestamp": "11/17/2022 12:56:46",
"content": "so zero",
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"id": 1042860939189440500,
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"author_name": "Naf",
"timestamp": "11/17/2022 12:57:03",
"content": "no",
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"timestamp": "11/17/2022 12:57:08",
"content": "yes",
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"id": 1042860999977488400,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 12:57:17",
"content": "lim as x-> inf",
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"id": 1042861018105262100,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 12:57:22",
"content": "that isnt sum though",
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{
"id": 1042861108320542700,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 12:57:43",
"content": "put n= 10 and then n= 20",
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{
"id": 1042861146224464000,
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"author_name": "Naf",
"timestamp": "11/17/2022 12:57:52",
"content": "it grows bigger i think",
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{
"id": 1042861177123909800,
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"author_name": "Naf",
"timestamp": "11/17/2022 12:58:00",
"content": "it does",
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"timestamp": "11/17/2022 12:58:05",
"content": "?",
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{
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"author_name": "|Mo|",
"timestamp": "11/17/2022 12:58:15",
"content": "but n is infinite",
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"author_name": "Naf",
"timestamp": "11/17/2022 12:58:20",
"content": "as n goes bigger so does the value",
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"timestamp": "11/17/2022 12:58:37",
"content": "so by divergence test if the limit as n-> inf is not 0 it diverges",
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"timestamp": "11/17/2022 12:58:48",
"content": "because it is 0 we need to keep testing",
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"author_name": "cantprogram",
"timestamp": "11/17/2022 12:59:04",
"content": "So whats our next step",
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"author_name": "|Mo|",
"timestamp": "11/17/2022 12:59:46",
"content": "why though when its 0 it is a zero sequence",
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:00:05",
"content": "Because we are solving for a series correct?",
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:00:09",
"content": "thats the sum of all terms",
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"author_name": "Naf",
"timestamp": "11/17/2022 13:00:14",
"content": "i dont get it how does the value goes to 0 as n tends to infinity?",
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"id": 1042861800170987600,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:00:28",
"content": "n! grows faster than x^n",
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"id": 1042861815731863600,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:00:32",
"content": "no its a sequence",
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{
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:01:01",
"content": "are u not solving for the inf sum from 0 to inf of 50^n / n!",
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"timestamp": "11/17/2022 13:01:13",
"content": "wats the question exactly",
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"timestamp": "11/17/2022 13:01:15",
"content": "i see what u mean",
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{
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"author_name": "Naf",
"timestamp": "11/17/2022 13:01:44",
"content": "n!> 50^n as it goes to infinity",
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{
"id": 1042862157773160600,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:01:53",
"content": "yes growth hierarchy",
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},
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"id": 1042862222734540900,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:02:09",
"content": "that doesnt necessarily mean we converge though",
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},
{
"id": 1042862267869438100,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:02:20",
"content": "Question is: Show if the following sequences converge or diverge",
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},
{
"id": 1042862320918995000,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:02:32",
"content": "ok so ratio test?",
"attachments": [],
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},
{
"id": 1042862355643637900,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/17/2022 13:02:41",
"content": "what methods have u learnt",
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},
{
"id": 1042862516172226700,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:03:19",
"content": "$ a_n=50^n/n! and a_n=n^n/n!$",
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},
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"id": 1042862518550413300,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/17/2022 13:03:19",
"content": "Ohhhhh",
"attachments": [],
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},
{
"id": 1042862539471597600,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/17/2022 13:03:24",
"content": "Im dumb its a sequence",
"attachments": [],
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},
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"id": 1042862553442820200,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/17/2022 13:03:28",
"content": "yeah just 0 sorry",
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},
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"id": 1042862575865577500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/17/2022 13:03:33",
"content": "I thought it was a series",
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},
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"id": 1042862800738992100,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:04:27",
"content": "so its zero",
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},
{
"id": 1042862934847652000,
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"author_name": "cantprogram",
"timestamp": "11/17/2022 13:04:59",
"content": "yup",
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"id": 1042863019392258000,
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"author_name": "|Mo|",
"timestamp": "11/17/2022 13:05:19",
"content": "can i show that n!>50^n on a formal basis",
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"author_name": "|Mo|",
"timestamp": "11/17/2022 13:06:13",
"content": "well how do i now that n!>50^n",
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"author_name": "|Mo|",
"timestamp": "11/17/2022 13:10:07",
"content": "that doesn't always apply, it only applies to n>2500",
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"id": 1042864352342061200,
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"author_name": "Naf",
"timestamp": "11/17/2022 13:10:37",
"content": "i tried to test it",
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},
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"id": 1042864601123016700,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:11:36",
"content": "Can u explain how u did ur test",
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"id": 1042864669464993800,
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"author_name": "Naf",
"timestamp": "11/17/2022 13:11:52",
"content": "u know i actually tried to test that n!>50^n but plaing values",
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"author_name": "Naf",
"timestamp": "11/17/2022 13:11:59",
"content": "placing values of n",
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"id": 1042864762440134700,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 13:12:14",
"content": "but now its showing different results",
"attachments": [],
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},
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"id": 1042864929595727900,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 13:12:54",
"content": "but i am preaty sure n!>50^n is true",
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"id": 1042865086039077000,
"author_id": 574619209011822600,
"author_name": "Naf",
"timestamp": "11/17/2022 13:13:32",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1042865627867644000,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:15:41",
"content": "I've thought about expanding the fraction and looking at when it becomes smaller than 1 and when larger and I make an estimate.",
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{
"id": 1042865816556802200,
"author_id": 731244259210166400,
"author_name": "|Mo|",
"timestamp": "11/17/2022 13:16:26",
"content": "but I don't know how to extend it",
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},
{
"id": 1042869592382509000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 13:31:26",
"content": "@|Mo| Has your question been resolved?",
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"timestamp": "11/17/2022 14:05:38",
"content": "@|Mo| Has your question been resolved?",
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"timestamp": "11/17/2022 15:11:29",
"content": "@|Mo| Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "11/17/2022 15:15:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | c215b803cdfd48c483815d432ce80200 |
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