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"id": 1047789936927051800,
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"timestamp": "12/01/2022 03:23:07",
"content": "Available help channel!",
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"timestamp": "12/01/2022 03:35:28",
"content": "Can someone help me with this question?",
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"timestamp": "12/01/2022 03:50:28",
"content": "@rego22o Has your question been resolved?",
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"content": ".close",
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] | help-9 | 77b7f173ff214cedb99d27410a3183fb |
201,966 | [
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"timestamp": "12/01/2022 03:51:43",
"content": "Available help channel!",
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{
"id": 1047797371163123700,
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"author_name": "zzzzzzzzzzzzzzz",
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"timestamp": "12/01/2022 03:52:40",
"content": "Pinned a message.",
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"author_name": "zzzzzzzzzzzzzzz",
"timestamp": "12/01/2022 03:52:48",
"content": "can help me with question 4,5, 6",
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"id": 1047801184397840400,
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 04:07:49",
"content": "@zzzzzzzzzzzzzzz Has your question been resolved?",
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"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/01/2022 04:15:56",
"content": "Use relationship btw theta and arc len.",
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"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/01/2022 04:16:22",
"content": "Use triangle angle sum 180°",
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{
"id": 1047803462521462800,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/01/2022 04:16:52",
"content": "In × opposite angles are equal",
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"id": 1047803538627121300,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/01/2022 04:17:10",
"content": "Angle btw radius and tangent is 90",
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"timestamp": "12/01/2022 04:39:21",
"content": "@zzzzzzzzzzzzzzz Has your question been resolved?",
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"timestamp": "12/01/2022 05:08:10",
"content": "Channel closed",
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] | help-9 | 1df9a0e0e8f14eec9bac3496c831a8ab |
201,967 | [
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"timestamp": "12/01/2022 05:09:10",
"content": "Available help channel!",
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"author_id": 532190752344768500,
"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:12:34",
"content": "Eyo guys",
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"timestamp": "12/01/2022 05:12:34",
"content": "Pinned a message.",
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"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:12:58",
"content": "So I want too know A",
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"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:13:00",
"content": "Of this",
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"timestamp": "12/01/2022 05:13:29",
"content": "I did",
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"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:13:52",
"content": "(330m + 210) .85m : 2",
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"timestamp": "12/01/2022 05:14:18",
"content": "That is 640m . 85m : 2",
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"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:14:48",
"content": "And the answer is 22950m^2",
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"timestamp": "12/01/2022 05:14:54",
"content": "Is that correct??",
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"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:15:13",
"content": "I feel like it's way too big of a number for that",
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"id": 1047819634432299100,
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"timestamp": "12/01/2022 05:21:08",
"content": "@Helpers",
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"timestamp": "12/01/2022 05:29:03",
"content": "≈================================",
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"author_name": "Tri_Bolt",
"timestamp": "12/01/2022 05:29:09",
"content": "Same problem with this pool",
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"timestamp": "12/01/2022 05:30:01",
"content": "They ask what A is",
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"timestamp": "12/01/2022 05:45:01",
"content": "@Tri_Bolt Has your question been resolved?",
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"timestamp": "12/01/2022 05:45:25",
"content": "@Helpers",
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 06:15:26",
"content": "@Tri_Bolt Has your question been resolved?",
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"id": 1047839100348154000,
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"author_name": "Ramady",
"timestamp": "12/01/2022 06:38:29",
"content": "it is correct",
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"content": "Channel closed",
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] | help-9 | 75a6af02b6db42a6a2ee5bc3fde78c33 |
201,968 | [
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"timestamp": "12/01/2022 08:20:32",
"content": "Available help channel!",
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"id": 1047865418762694700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "12/01/2022 08:23:04",
"content": "can someone verify if i solved the differential equation correctly?",
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"timestamp": "12/01/2022 08:23:04",
"content": "Pinned a message.",
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"author_name": "Deleted User",
"timestamp": "12/01/2022 08:24:18",
"content": "red square is the differential equation with the initial conditions. bellow is the solved equation",
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"author_name": "Gamer Dio",
"timestamp": "12/01/2022 08:25:55",
"content": "Looks right",
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"timestamp": "12/01/2022 08:26:26",
"content": "aight ty",
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"timestamp": "12/01/2022 08:26:34",
"content": ".close",
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] | help-9 | e49b8d4bab1f4281ac6a356e4752d935 |
201,969 | [
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"content": "Available help channel!",
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] | help-9 | be9de2c95cbc4bc7a85c06c2e0904543 |
201,970 | [
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"content": "Available help channel!",
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{
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/01/2022 08:47:42",
"content": "You can find the value of y and then find the value of x",
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"author_name": "ameo",
"timestamp": "12/01/2022 08:47:43",
"content": "Hi",
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},
{
"id": 1047871653440405500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/01/2022 08:47:50",
"content": "With Pythagorean theorem",
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{
"id": 1047871695857406000,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 08:48:00",
"content": "How",
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{
"id": 1047871866217431000,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 08:48:41",
"content": "This looks completely complex to me",
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{
"id": 1047871945703698600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/01/2022 08:49:00",
"content": "Do you know the formula of c^2 = a^2 + b^2 where c is the hypotenuse and a and b are the two other sides",
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"timestamp": "12/01/2022 08:49:07",
"content": "Yes",
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"content": "Okay, I want you to consider only the triangle of CDB",
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"content": "Basically the right triangle",
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"timestamp": "12/01/2022 08:49:43",
"content": "CAB first",
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"timestamp": "12/01/2022 08:49:57",
"content": "Oh is that 2 or z? @ameo",
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"timestamp": "12/01/2022 08:50:10",
"content": "I'd thought z",
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"timestamp": "12/01/2022 08:50:20",
"content": "It looks z",
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"timestamp": "12/01/2022 08:50:20",
"content": "Thought it was kinda weird way to go about it",
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"timestamp": "12/01/2022 08:50:23",
"content": "I was thinking of 2",
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"timestamp": "12/01/2022 08:50:33",
"content": "I was thinking: there are definitely 3 right triangles, so u can setup 3 systems of equations, and I bet u'll find that some stuff works out nicely.",
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"content": "This is why I'm puzzled",
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"timestamp": "12/01/2022 08:50:38",
"content": "shape would be weird then",
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"timestamp": "12/01/2022 08:50:47",
"content": "Yes that",
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"timestamp": "12/01/2022 08:51:15",
"content": "Right, but most of those are never drawn to scale",
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"timestamp": "12/01/2022 08:51:18",
"content": "Without it, what can I do",
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"timestamp": "12/01/2022 08:51:27",
"content": "see prev comment",
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"timestamp": "12/01/2022 08:51:34",
"content": "Well I guess in this case you have to consider the full triangle of CAB",
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"timestamp": "12/01/2022 08:52:16",
"content": "maybe find cd and cb in x and use Pythagorean",
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"timestamp": "12/01/2022 08:52:48",
"content": "But bottom pageis 21+x",
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"timestamp": "12/01/2022 08:52:58",
"content": "Not just 21",
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"timestamp": "12/01/2022 08:53:02",
"content": "yeah",
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"timestamp": "12/01/2022 08:53:12",
"content": "use that to find CB in terms of x",
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"timestamp": "12/01/2022 08:54:11",
"content": "actually",
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"timestamp": "12/01/2022 08:54:11",
"content": "actually, u can also use some similarity of triangles if ya wish",
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"timestamp": "12/01/2022 08:54:57",
"content": "can you see 2 known with 1 unknown side of a right triangle\nnvm I didn't see that x while rotating",
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"timestamp": "12/01/2022 08:54:59",
"content": "ya u can use similarity",
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"timestamp": "12/01/2022 08:55:29",
"content": "but just be careful and compare the right sides",
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"timestamp": "12/01/2022 08:56:13",
"content": "I am too stupid to see",
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"timestamp": "12/01/2022 08:57:16",
"content": "To mee it seems like always 1 unknown too much",
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"timestamp": "12/01/2022 08:58:38",
"content": "Ok, e.g., u could say triangle ADC is similar to CDB, so\n$\\frac{10}{x} = \\frac{z}{21}$, and then use \n$10^2 + z^2 = (x+21)^2$ and subsitute z in.",
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"timestamp": "12/01/2022 08:58:41",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 08:58:54",
"content": "Could prolly be prettier",
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"timestamp": "12/01/2022 08:59:02",
"content": "But should get rid of all other variables",
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"timestamp": "12/01/2022 09:00:35",
"content": "Ah",
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"timestamp": "12/01/2022 09:01:06",
"content": "A nicer one is $\\frac{x}{y}=\\frac{y}{21}$ and then $x^2 + y^2 = 100$",
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"timestamp": "12/01/2022 09:01:09",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:04:21",
"content": "I completely lost u there",
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"timestamp": "12/01/2022 09:04:23",
"content": "Additionally: u can consider why we can solve this polynomial by hand",
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"timestamp": "12/01/2022 09:04:26",
"content": "Oh",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:04:36",
"content": "Do you know what similar triangles are?",
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"timestamp": "12/01/2022 09:05:12",
"content": "Yeah I think so",
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"timestamp": "12/01/2022 09:05:31",
"content": "Can you see that ADC is similar to CDB?",
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"timestamp": "12/01/2022 09:06:11",
"content": "Yes",
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"timestamp": "12/01/2022 09:06:30",
"content": "2 angles and 1 page",
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"timestamp": "12/01/2022 09:06:31",
"content": "Then by similarity we have $\\frac{x}{y}=\\frac{y}{21}$",
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"timestamp": "12/01/2022 09:06:34",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:06:49",
"content": "Yes, we actually have 3 angles too kinda",
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"timestamp": "12/01/2022 09:06:59",
"content": "but both work",
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"timestamp": "12/01/2022 09:07:26",
"content": "So by the above relation, we can now use pythagoras on ADC to see that $x^2 + y^2 = 10^2 = 100$",
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"timestamp": "12/01/2022 09:07:29",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:08:03",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:09:46",
"content": "If the relation is kinda hard to see, u can imagine rotating triangle ADC about D, so that CD lies paralel with DB",
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"timestamp": "12/01/2022 09:11:11",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:13:31",
"content": "So X^2+21x = 100",
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"timestamp": "12/01/2022 09:13:40",
"content": "?",
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"timestamp": "12/01/2022 09:13:41",
"content": "yup",
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"timestamp": "12/01/2022 09:14:01",
"content": "And idk how much u know about polynomials, but u can solve that one by hand",
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"timestamp": "12/01/2022 09:15:10",
"content": "So are there 2 solutions????",
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"timestamp": "12/01/2022 09:15:26",
"content": "~~10 and 4.76~~",
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"timestamp": "12/01/2022 09:15:31",
"content": "Kinda, one is negative so naturally that can't be length",
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"timestamp": "12/01/2022 09:15:38",
"content": "not quite",
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"timestamp": "12/01/2022 09:16:12",
"content": "Oh I did Smth stupid",
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"timestamp": "12/01/2022 09:17:04",
"content": "I guess I have no idea how to continue",
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"timestamp": "12/01/2022 09:22:11",
"content": "😵💫 FML",
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"timestamp": "12/01/2022 09:22:46",
"content": "Sorry",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:23:05",
"content": "Basically, what numbers add up to 21 but multiply to -100?",
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"timestamp": "12/01/2022 09:25:03",
"content": "Hint: one of em is negative",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:26:15",
"content": "U can also just use the quadratic formula if it's too hard",
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"timestamp": "12/01/2022 09:27:24",
"content": "U sure it isn't opposite",
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"timestamp": "12/01/2022 09:28:49",
"content": "Yeah, otherwise either both are positive or both negative",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:29:11",
"content": "Which would make the original problem kinda problematic",
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"timestamp": "12/01/2022 09:30:12",
"content": "I'd suggest looking at the ways to write 100 as the product of two numbers, since that has fewer possibilities than the numbers that add to 21",
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"author_name": "TeXit",
"timestamp": "12/01/2022 09:30:47",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:31:50",
"content": "10×10",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:31:55",
"content": "Yup",
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"id": 1047882754441891800,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:31:57",
"content": "Any others?",
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"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:32:40",
"content": "25×4",
"attachments": [],
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:32:44",
"content": "Yup",
"attachments": [],
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"id": 1047882958415085600,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:32:46",
"content": "Now",
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"id": 1047882984222630000,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:32:52",
"content": "That's the one",
"attachments": [],
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"id": 1047883035628011500,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:33:04",
"content": "We wanted -100, but that's an easy fix, since we can just add a minus to one of em in each of those",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:33:07",
"content": "yep",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:33:25",
"content": "Which one do we add the minus to, if we want the sum to be 21?",
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"id": 1047883130914226200,
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"author_name": "ameo",
"timestamp": "12/01/2022 09:33:27",
"content": "-4+25= 21",
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"id": 1047883147079061500,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:33:30",
"content": "Precisely",
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"author_name": "TeXit",
"timestamp": "12/01/2022 09:34:11",
"content": "**CoffeeMan**",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:35:04",
"content": "So if the above has to be 0, then what possibilities are there for x?",
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"timestamp": "12/01/2022 09:37:14",
"content": "12.5",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/01/2022 09:37:37",
"content": "**CoffeeMan**",
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"timestamp": "12/01/2022 09:38:02",
"content": "4",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:38:07",
"content": "Yup",
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"id": 1047884324231459000,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:38:11",
"content": "Or?",
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"timestamp": "12/01/2022 09:38:32",
"content": "-25 but that's negative so no",
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"id": 1047884857738547200,
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"author_name": "ameo",
"timestamp": "12/01/2022 09:40:18",
"content": "So finally that X page is 4cm",
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"timestamp": "12/01/2022 09:40:25",
"content": "Right?",
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"id": 1047884903913640100,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:40:29",
"content": "yup",
"attachments": [],
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"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:41:46",
"content": "So y squared is 21x",
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"id": 1047885293396701200,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:42:02",
"content": "yes",
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"id": 1047885307577638900,
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"author_name": "ameo",
"timestamp": "12/01/2022 09:42:06",
"content": "84",
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},
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"id": 1047885473676271600,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:42:45",
"content": "So √84 is y",
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"id": 1047885518056194000,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:42:56",
"content": "9.165",
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"id": 1047885570313035800,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:43:08",
"content": "yep",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:43:27",
"content": "Depending on your teacher, u might leave it as sqrt 84",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:43:32",
"content": "it's prettier",
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"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:43:49",
"content": "Ok. This was confusing .",
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"id": 1047885765117497500,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:43:55",
"content": "Very",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:44:06",
"content": "There are various ways of doing it really",
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"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:44:12",
"content": "I gotta read all once more",
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"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:44:16",
"content": "I'd recommend for future problems",
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"author_name": "ameo",
"timestamp": "12/01/2022 09:44:24",
"content": "Any easier way?",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:44:29",
"content": "Ye",
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"id": 1047885944759521400,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:44:38",
"content": "Lol do tell",
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"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:47:52",
"content": "I'd recommend first look for all right triangles you can find. You can write up all the pythagorean equations u want then.\nU can try to find some expression with only x from there, OR, as we did, often using a bit of similarity of triangles can reduce the complexity of the equation to solve quite a bit.\n\nIn any case, you end up with some equation, in this case a quadratic like\n$x^2 + bx +c$.\nIf it is of this form and u can think of two numbers r1 and r2 that add to b and multiply to c, then u can rewrite\n$x^2 +bx +c = (x + r_1)(x+r_2) = 0$\nand u immediately see the solutions for x.\nIf such numbers aren't clear, u can use the quadratic formula, or, if you learn it later on, the technique called \"completing the square\"",
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"author_name": "TeXit",
"timestamp": "12/01/2022 09:47:57",
"content": "**CoffeeMan**",
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"id": 1047887342830100500,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:50:11",
"content": "I see. It all leads down to this, huh?",
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"id": 1047887390502568000,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:50:22",
"content": "ye",
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"id": 1047887529522778100,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:50:55",
"content": "Well, thank you so much man! I appreciate it.",
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"id": 1047887575299395700,
"author_id": 153874513115873280,
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"timestamp": "12/01/2022 09:51:06",
"content": "☕",
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"id": 1047887604386898000,
"author_id": 936158027722162200,
"author_name": "CoffeeMan",
"timestamp": "12/01/2022 09:51:13",
"content": "np👍",
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"id": 1047887780186964000,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/01/2022 09:51:55",
"content": "Have a good day. Bye",
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"id": 1047887813804294300,
"author_id": 936158027722162200,
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"timestamp": "12/01/2022 09:52:03",
"content": "u too",
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"timestamp": "12/01/2022 09:52:18",
"content": ".close",
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{
"id": 1047887877448667300,
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 09:52:18",
"content": "Channel closed",
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] | help-9 | 76fefa4b3bbf40d7afe7d3c9b93674db |
201,971 | [
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"timestamp": "12/01/2022 10:29:32",
"content": "Available help channel!",
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{
"id": 1047898270640377900,
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"timestamp": "12/01/2022 10:33:36",
"content": "done yet",
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},
{
"id": 1047898273152782500,
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"timestamp": "12/01/2022 10:34:02",
"content": "someone do this rq",
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"timestamp": "12/01/2022 10:34:34",
"content": "no",
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"timestamp": "12/01/2022 10:34:45",
"content": "we don't give answers here or do your homework for you.",
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"content": ".close",
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"timestamp": "12/01/2022 10:35:43",
"content": "Channel closed",
"attachments": [],
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] | help-9 | 2fffa91d1d6d4be2a4406bf9efd8404d |
201,972 | [
{
"id": 1047899350774337700,
"author_id": 971754621989187600,
"author_name": "o1",
"timestamp": "12/01/2022 10:37:54",
"content": "can you say again",
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"id": 1047900429226356900,
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"timestamp": "12/01/2022 10:42:11",
"content": "i tried cauchy schwarz inequality",
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"timestamp": "12/01/2022 10:43:10",
"content": "couldn't find a,b,c though",
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"id": 1047901217340281000,
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"author_name": "Harsh Patil",
"timestamp": "12/01/2022 10:45:19",
"content": "how they got this the line i circle",
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"content": "1/3 and 2/3",
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"id": 1047901915654131700,
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"timestamp": "12/01/2022 10:48:05",
"content": "x= (1/3) (t² +2)",
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"timestamp": "12/01/2022 10:48:20",
"content": "and dx = (2/3)t dt",
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"content": "ok",
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"timestamp": "12/01/2022 10:49:25",
"content": "you see why?",
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"content": "yaa",
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] | help-9 | 7778f4e5bfbb43e28bc25273fb5da2c5 |
201,973 | [
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"id": 1034007615690264600,
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"author_name": "Anarky",
"timestamp": "10/24/2022 03:51:47",
"content": "Hello, having some problems with this question",
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"author_id": 426830812756049900,
"author_name": "Anarky",
"timestamp": "10/24/2022 03:53:16",
"content": "These are the both ways i tried working this problem but i am unsure which is correct or if any even are correct",
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"timestamp": "10/24/2022 03:59:36",
"content": "$f^{-1} (x) \\neq \\frac{1}{f(x)}$",
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"id": 1034013288113111200,
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"timestamp": "10/24/2022 03:59:38",
"content": "**Pure**",
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"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/24/2022 04:00:57",
"content": "And you should know which one is correct if you know the property of inverse function.",
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"timestamp": "10/24/2022 04:01:56",
"content": "Thank you",
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] | help-9 | 9252c80010624887b908c993ca8f7ca5 |
201,974 | [
{
"id": 1047905062002905200,
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"id": 1047906131378446500,
"author_id": 786495514844987400,
"author_name": "Nada",
"timestamp": "12/01/2022 11:04:50",
"content": "when s and r are independent P(s|r) = P(s), correct?",
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"timestamp": "12/01/2022 11:08:33",
"content": "yes",
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"id": 1047907847024943200,
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"author_name": "Nada",
"timestamp": "12/01/2022 11:11:39",
"content": "thanks, and just to be sure if r is a random number and s is a vector of either +1 or -1 chosen randomly, then they are independent indeed?",
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"id": 1047909620594770000,
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"author_name": "Ann",
"timestamp": "12/01/2022 11:18:42",
"content": "that alone doesn't give us enough info to tell.",
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"id": 1047910890885877900,
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"author_name": "Nada",
"timestamp": "12/01/2022 11:23:45",
"content": "r: just any random number and I can change it whenever I like, example r = 0.1\ns: binary choice between -1 and 1 chosen at random (np.random.choice([1., -1.], size=(n)))",
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"timestamp": "12/01/2022 11:24:53",
"content": "and if I have P(s|r,y) s does not depend on r but it depends on y I can write P(s|r,y)=P(s|y), correct?",
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"timestamp": "12/01/2022 11:39:53",
"content": "@Nada Has your question been resolved?",
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"timestamp": "12/01/2022 12:08:24",
"content": "what ann meant is that the independance between two variables doesnt tell you anything about their proability laws",
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"timestamp": "12/01/2022 12:08:30",
"content": "and the opposite is true",
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"timestamp": "12/01/2022 12:08:38",
"content": "given the laws you cant say if they are independant",
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"timestamp": "12/01/2022 12:09:02",
"content": "but if you construct them independantly as you suggested",
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"timestamp": "12/01/2022 12:09:07",
"content": "then yeah they are independant",
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"timestamp": "12/01/2022 12:19:07",
"content": "@Nada Has your question been resolved?",
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] | help-9 | a9e49cdc1b8f455c93e66b72384993de |
201,975 | [
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"content": "@Kepe Has your question been resolved?",
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] | help-9 | eda5d24d88634027859c934ecceb4dd2 |
201,976 | [
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"author_id": 239417203051462660,
"author_name": "AlexSowo",
"timestamp": "12/01/2022 13:48:16",
"content": "Hey guys can someone help me I already tested everything but i dont get the right form",
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"timestamp": "12/01/2022 13:49:38",
"content": "its a geometric series",
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"id": 1047947811926311000,
"author_id": 239417203051462660,
"author_name": "AlexSowo",
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"content": "i know but when i form it i dont get A, B and n",
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"timestamp": "12/01/2022 13:50:50",
"content": "its really weird",
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"id": 1047947996664434700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/01/2022 13:51:12",
"content": "What do you get?",
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"timestamp": "12/01/2022 13:51:37",
"content": "-1 *(1 - 8/7)",
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"timestamp": "12/01/2022 14:02:12",
"content": "omg i got it I didnt get the last step right",
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"timestamp": "12/01/2022 14:02:14",
"content": ".close",
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] | help-9 | c58e2e38d5d34a9983b6b82226a2a015 |
201,977 | [
{
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"id": 1047969832458526700,
"author_id": 243149174487384060,
"author_name": "FancyGiraffe",
"timestamp": "12/01/2022 15:17:58",
"content": "hi all i would like someone to explain to me the example here under linear systems:",
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"id": 1047969836883509400,
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"author_id": 243149174487384060,
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"content": "https://en.wikipedia.org/wiki/Linear_algebra#Matrices",
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"id": 1047970202240962700,
"author_id": 261933205387477000,
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"content": "https://www.khanacademy.org/math/linear-algebra",
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"content": "ty",
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"timestamp": "12/01/2022 15:26:38",
"content": "close!",
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"timestamp": "12/01/2022 15:26:45",
"content": ".close",
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] | help-9 | 848108280e264f47b095c8c463a36286 |
201,978 | [
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"timestamp": "12/01/2022 15:50:28",
"content": "@Ziva Has your question been resolved?",
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"timestamp": "12/01/2022 16:20:37",
"content": "@Ziva Has your question been resolved?",
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] | help-9 | 08ccda6d7aac4ee1bc939005ab8e1027 |
201,979 | [
{
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"timestamp": "12/01/2022 16:34:31",
"content": "Available help channel!",
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"id": 1047991718789791700,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:44:56",
"content": "so like how do u know what the area of the shaded part",
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"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:45:24",
"content": "i'm a bit stuck on where to started",
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"id": 1047993705128284300,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:52:50",
"content": "plz i need help",
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},
{
"id": 1047993834581266400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/01/2022 16:53:20",
"content": "it's made of two circular segments laid edge to edge",
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},
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"id": 1047993970443169900,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:53:53",
"content": "ok",
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},
{
"id": 1047994191063564300,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:54:45",
"content": "i know that but how to start first",
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},
{
"id": 1047994258545717200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/01/2022 16:55:02",
"content": "draw some radii",
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},
{
"id": 1047994280406433800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/01/2022 16:55:07",
"content": "find some angles",
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},
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"id": 1047994328766763000,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:55:18",
"content": "ok",
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},
{
"id": 1047994546086228000,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:56:10",
"content": "so it is 36.87 for the angle",
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{
"id": 1047994573374361600,
"author_id": 547574273049493500,
"author_name": "Diiegorvz",
"timestamp": "12/01/2022 16:56:17",
"content": "Hello, does anyone have information on conical surfaces?",
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{
"id": 1047994667700080800,
"author_id": 547574273049493500,
"author_name": "Diiegorvz",
"timestamp": "12/01/2022 16:56:39",
"content": "I'm new, sorry",
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},
{
"id": 1047994852626939900,
"author_id": 547574273049493500,
"author_name": "Diiegorvz",
"timestamp": "12/01/2022 16:57:23",
"content": "thx",
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},
{
"id": 1047995142243614800,
"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:58:32",
"content": "thank u very much @Ann i understand everything.",
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"author_id": 972095073137352700,
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"timestamp": "12/01/2022 16:58:36",
"content": "👍",
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"author_id": 972095073137352700,
"author_name": "哈咯",
"timestamp": "12/01/2022 16:58:55",
"content": ".close",
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"id": 1047995239987695600,
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 16:58:56",
"content": "Channel closed",
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}
] | help-9 | 66395155fb5542da850857c95b864f6d |
201,980 | [
{
"id": 1048002645954150500,
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 17:28:21",
"content": "Available help channel!",
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},
{
"id": 1048002869523124400,
"author_id": 619626892584157200,
"author_name": "max the silhouette",
"timestamp": "12/01/2022 17:29:15",
"content": "how do I tell?",
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"timestamp": "12/01/2022 17:31:13",
"content": "for #2",
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"author_name": "max the silhouette",
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"content": ".close",
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] | help-9 | bb04d6014fca4065bc6f9a558fef1735 |
201,981 | [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 17:46:40",
"content": "Available help channel!",
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},
{
"id": 1048007954487578800,
"author_id": 467248706551545860,
"author_name": "🔧SM🔧",
"timestamp": "12/01/2022 17:49:27",
"content": "So I am trying to type 340Hv=Ho+15⋅(6.5⋅10^(-3)mm^(-1/2)) in my calculator and I know the answere is \nHo=153Hv but when I do in manually on my calculator I am getting 339.9025 when I type 340=x+15(6.5*10^-3) can I get some help thanks",
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"id": 1048007956828004400,
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"content": "Pinned a message.",
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{
"id": 1048008130488967300,
"author_id": 467248706551545860,
"author_name": "🔧SM🔧",
"timestamp": "12/01/2022 17:50:09",
"content": "ps I didnt mean to have 2 channels it said my last one closed, idk how to fix it, I am sorry",
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},
{
"id": 1048009710512656400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:56:26",
"content": "that's fine your other channel will close. bot's just slow",
"attachments": [],
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},
{
"id": 1048009757459480700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:56:37",
"content": "use the calculator here to type in your query",
"attachments": [],
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"reference": null
},
{
"id": 1048009864120639600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:57:02",
"content": ",calc 2 + 3 * (10 ^ (-3)) ^ (-1/2)",
"attachments": [],
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"reference": null
},
{
"id": 1048009865487982600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/01/2022 17:57:03",
"content": "Result:\n```\n96.868329805051\n```",
"attachments": [],
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},
{
"id": 1048009957917860000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:57:25",
"content": ",calc 340-15(6.5*10^-3)",
"attachments": [],
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"reference": null
},
{
"id": 1048009959318769800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/01/2022 17:57:25",
"content": "Result:\n```\n339.9025\n```",
"attachments": [],
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"reference": null
},
{
"id": 1048010015342067700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:57:38",
"content": "looks like you're missing the ^(-1/2)",
"attachments": [],
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},
{
"id": 1048010102533267600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:57:59",
"content": ",calc 340-15(6.5*10^-3)^(-1/2)",
"attachments": [],
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"reference": null
},
{
"id": 1048010103577661400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/01/2022 17:57:59",
"content": "Result:\n```\n153.94789811619\n```",
"attachments": [],
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"reference": null
},
{
"id": 1048010138134532200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/01/2022 17:58:08",
"content": "i guess that solves your problem?",
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},
{
"id": 1048010176705347700,
"author_id": 467248706551545860,
"author_name": "🔧SM🔧",
"timestamp": "12/01/2022 17:58:17",
"content": "I thought the ^(-1/2) was just for the units, thank you",
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},
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"id": 1048013952413610000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 18:13:17",
"content": "@🔧SM🔧 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 18:28:17",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | c54e0385f31f4ceb81f19909050e42e4 |
201,982 | [
{
"id": 1048025332319518700,
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"timestamp": "12/01/2022 18:58:30",
"content": "Available help channel!",
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},
{
"id": 1048027245542899800,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:06:06",
"content": "hello",
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},
{
"id": 1048027247199658100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 19:06:07",
"content": "Pinned a message.",
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"id": 1048027282566021100,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:06:15",
"content": "can i request some help",
"attachments": [],
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},
{
"id": 1048027411826085900,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "12/01/2022 19:06:46",
"content": ":JustAsk:",
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"id": 1048027434940907500,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:06:51",
"content": "",
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{
"id": 1048027514221645800,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:07:10",
"content": "I would like some help working through this problem step-by-step",
"attachments": [],
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},
{
"id": 1048027795277758500,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:08:17",
"content": "according to my professor the answer is \"-sin(2x)^4 * 2 + sin(3x+1) ^4 * 3",
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"id": 1048027866962600100,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:08:34",
"content": "but I do not know how he got that so I would like to see some steps",
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},
{
"id": 1048028928171835400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/01/2022 19:12:47",
"content": "Remember that integral goes by another name: antiderivative",
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},
{
"id": 1048030557285667000,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:19:16",
"content": "can you give me a hint for the first step",
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"id": 1048030693881565200,
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"author_name": "jaime",
"timestamp": "12/01/2022 19:19:48",
"content": "sounds like i should take the antiderivative of sint^4 dt?",
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{
"id": 1048031250415370400,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "12/01/2022 19:22:01",
"content": "use FTC",
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},
{
"id": 1048031314495930400,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "12/01/2022 19:22:16",
"content": "and apply chain rule",
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"id": 1048032993576501200,
"author_id": 267051808734707700,
"author_name": "jaime",
"timestamp": "12/01/2022 19:28:57",
"content": "@cantprogram a few questions\n1) to solve an integral like this is it just those 2 formulas\n2) when can I identify the integral and know that I need to use the chain rule. in other words how do i know im supposed to use the chain rule",
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 19:43:57",
"content": "@jaime Has your question been resolved?",
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"id": 1048040433281933300,
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"author_name": "cantprogram",
"timestamp": "12/01/2022 19:58:30",
"content": "after you apply ftc you are differentiating f(g(x)) so you use chain rule",
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"id": 1048040714258366500,
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"author_name": "cantprogram",
"timestamp": "12/01/2022 19:59:37",
"content": "the differentiation could involve like quotient, product rule etc, i was just saying dont forgot to use chain rule for this specific problem",
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"id": 1048041104244756500,
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"author_name": "jaime",
"timestamp": "12/01/2022 20:01:10",
"content": "@cantprogram OH",
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"timestamp": "12/01/2022 20:01:17",
"content": "okay",
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"id": 1048041221743976400,
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"author_name": "jaime",
"timestamp": "12/01/2022 20:01:38",
"content": "that makes a bunch of sense, thank you",
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"timestamp": "12/01/2022 20:31:39",
"content": "@jaime Has your question been resolved?",
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"timestamp": "12/01/2022 20:33:06",
"content": "Channel closed",
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}
] | help-9 | e8467d19841f4c778f338dbd48a25fe0 |
201,983 | [
{
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"timestamp": "12/01/2022 20:34:06",
"content": "Available help channel!",
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] | help-9 | 975d9a60c7c948359ba37bf9415afbd9 |
201,984 | [
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"id": 1034014353709600800,
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"content": "Available help channel!",
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"id": 1034015682465112000,
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"content": "How would I do 20?",
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"timestamp": "10/24/2022 04:13:57",
"content": "rewrite cot",
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"timestamp": "10/24/2022 04:14:09",
"content": "Assume tan inv(x+2)= alpha",
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"content": "got it!",
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"content": "One more question to either one of u",
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"id": 1034018431026081900,
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"author_name": "VIC",
"timestamp": "10/24/2022 04:20:05",
"content": "Is there anyway to find the asymtotes without graphing?",
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"id": 1034018509925138400,
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"timestamp": "10/24/2022 04:20:23",
"content": "Like any method that can be used to to determine the asymtotes for sec and csc",
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"id": 1034018902906245200,
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"content": "yeah",
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"id": 1034018954840133600,
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"timestamp": "10/24/2022 04:22:09",
"content": "how can you write this in term of sin and cos",
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"id": 1034019031532970100,
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"timestamp": "10/24/2022 04:22:28",
"content": "that will be a big hint",
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"timestamp": "10/24/2022 04:23:09",
"content": "f(x) = -3 cos1/3(x-3pi/2) + 1",
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"timestamp": "10/24/2022 04:23:21",
"content": "Just write csc and sec",
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"id": 1034019348370694100,
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"author_name": "dog.",
"timestamp": "10/24/2022 04:23:43",
"content": "Don't worry ABT the question for now",
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"timestamp": "10/24/2022 04:23:55",
"content": "Oh so what do I do then?",
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"id": 1034019480315113500,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:24:15",
"content": "like csc(X) = 1/sin(X) right",
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"id": 1034019531523371000,
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"timestamp": "10/24/2022 04:24:27",
"content": "so when is the fraction gonna be undefined",
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"id": 1034019593305477100,
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"timestamp": "10/24/2022 04:24:42",
"content": "When sinx = 0",
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"id": 1034019617611456500,
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"timestamp": "10/24/2022 04:24:47",
"content": "exactly",
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"id": 1034019658514317300,
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"timestamp": "10/24/2022 04:24:57",
"content": "so now just apply it to your question",
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"content": "So we sinx; x = 0 or cosx; x = 1",
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"timestamp": "10/24/2022 04:25:25",
"content": "x-pi/4 = pi/2?",
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"timestamp": "10/24/2022 04:25:26",
"content": "x= pi/2",
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"id": 1034019793545732100,
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"timestamp": "10/24/2022 04:25:29",
"content": "for cos",
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"timestamp": "10/24/2022 04:25:40",
"content": "Hold on gotta do smth",
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"timestamp": "10/24/2022 04:25:49",
"content": "oops yea 90",
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"timestamp": "10/24/2022 04:28:02",
"content": "sorry I looked at the wrong one",
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"id": 1034020475719913500,
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"timestamp": "10/24/2022 04:28:12",
"content": "x - 3pi/2 = pi/2",
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"id": 1034020526710063100,
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"timestamp": "10/24/2022 04:28:24",
"content": "=> x = 2pi",
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"id": 1034020583169589200,
"author_id": 721266519064969200,
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"timestamp": "10/24/2022 04:28:38",
"content": "But thats not the asymtote",
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"timestamp": "10/24/2022 04:29:02",
"content": "There is",
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"id": 1034020700475891700,
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"timestamp": "10/24/2022 04:29:06",
"content": "oka which questin",
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"id": 1034020729139773400,
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"timestamp": "10/24/2022 04:29:13",
"content": "les do 22",
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"author_name": "idontsleepanymore",
"timestamp": "10/24/2022 04:29:14",
"content": "But ud need to know existing domains of function",
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"id": 1034020917145260200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:29:57",
"content": "$-\\frac{3}{\\cos(\\frac{1}{3}x - \\frac{\\pi}{2})} + 1$",
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"id": 1034020980038840300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/24/2022 04:30:12",
"content": "**dog.**",
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"timestamp": "10/24/2022 04:30:16",
"content": "Yep",
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"id": 1034021012741816400,
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"timestamp": "10/24/2022 04:30:20",
"content": "so",
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"id": 1034021067397804200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:30:33",
"content": "$\\cos(\\frac{1}{3}x - \\frac{\\pi}{2}) = 0$",
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"id": 1034021076541386900,
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"timestamp": "10/24/2022 04:30:35",
"content": "**dog.**",
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"timestamp": "10/24/2022 04:30:38",
"content": "Then I got -3/cos1/3(x-3pi/2)",
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"id": 1034021127850307600,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:30:48",
"content": "do you want all asymptotes",
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"id": 1034021143272771600,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:30:51",
"content": "Yep",
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"id": 1034021152902877200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:30:54",
"content": "alr",
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},
{
"id": 1034021253662650400,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:31:18",
"content": "degrees or radians",
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},
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"id": 1034021256422502400,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:31:18",
"content": "?",
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"id": 1034021275041022000,
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"author_name": "VIC",
"timestamp": "10/24/2022 04:31:23",
"content": "radians",
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},
{
"id": 1034021335879405600,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:31:37",
"content": "alr",
"attachments": [],
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},
{
"id": 1034021385841942500,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:31:49",
"content": "I alr know the asymtote is 3pin however I want to know how to get that without having to graph it",
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{
"id": 1034021501239824400,
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"author_name": "dog.",
"timestamp": "10/24/2022 04:32:17",
"content": "$\\frac{1}{3}x - \\frac{\\pi}{2} = \\frac{\\pi}{2} + \\pi n, \\forall n \\in \\mathbb{Z}$",
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"id": 1034021510387613700,
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"timestamp": "10/24/2022 04:32:19",
"content": "**dog.**",
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"id": 1034021529849184400,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:32:23",
"content": "yeah?",
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"id": 1034021566901661700,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:32:32",
"content": "make sense?",
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"id": 1034021597176139800,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:32:39",
"content": "Oh I took the 1/3 ot",
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},
{
"id": 1034021612816707700,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:32:43",
"content": "But yea that works",
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"id": 1034021647113527300,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:32:51",
"content": "okay so do you know where to go from here",
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"id": 1034021652297687000,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:32:53",
"content": "OHHHHHH",
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},
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"id": 1034021657809002500,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:32:54",
"content": "I GOT IT",
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"id": 1034021678038130700,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:32:59",
"content": "1/3x = pi",
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"id": 1034021690725892100,
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"timestamp": "10/24/2022 04:33:02",
"content": "x = 3pi",
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"id": 1034021745386074100,
"author_id": 745951784526282800,
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"timestamp": "10/24/2022 04:33:15",
"content": "ye",
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"id": 1034021792991412200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:33:26",
"content": "you get",
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"id": 1034021886063034400,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:33:48",
"content": "$(n+1)\\pi, n \\in \\mathbb{Z}$",
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},
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"id": 1034021896997572700,
"author_id": 510789298321096700,
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"timestamp": "10/24/2022 04:33:51",
"content": "**dog.**",
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"timestamp": "10/24/2022 04:33:53",
"content": "but since n+1 is just an integer",
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"timestamp": "10/24/2022 04:33:55",
"content": "thats the same as",
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"content": "Does this work for asymptotes that are like: pi/4 + pin/2?",
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"timestamp": "10/24/2022 04:34:01",
"content": "$n\\pi, n \\in \\mathbb{Z}$",
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"timestamp": "10/24/2022 04:34:03",
"content": "**dog.**",
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"timestamp": "10/24/2022 04:34:08",
"content": "why wouldnt it what",
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"timestamp": "10/24/2022 04:34:13",
"content": "What does the trident sign mean?",
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"timestamp": "10/24/2022 04:34:26",
"content": "n is a member of",
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"timestamp": "10/24/2022 04:34:30",
"content": "and Z is set of integers",
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"timestamp": "10/24/2022 04:34:36",
"content": "cause its multiple of pi",
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"timestamp": "10/24/2022 04:34:39",
"content": "so like",
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"timestamp": "10/24/2022 04:34:50",
"content": "0, pi, 2pi, 3pi, -pi, -2pi, -3pi",
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"timestamp": "10/24/2022 04:34:54",
"content": "for all integr",
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"timestamp": "10/24/2022 04:35:50",
"content": "Ok so how about this one?",
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"timestamp": "10/24/2022 04:36:01",
"content": "I did ur method and got x = pi/4?",
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"timestamp": "10/24/2022 04:36:11",
"content": "How do I know how much pin to add?",
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"timestamp": "10/24/2022 04:36:41",
"content": "wym",
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"timestamp": "10/24/2022 04:36:47",
"content": "u put that in when u take inverse",
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"id": 1034022699527311400,
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"timestamp": "10/24/2022 04:37:02",
"content": "cause theres infinite input you can put in to get zero",
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"timestamp": "10/24/2022 04:37:08",
"content": "like for sin(x) = 0",
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"timestamp": "10/24/2022 04:37:15",
"content": "x = 0, pi, 2pi, 3pi",
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"timestamp": "10/24/2022 04:37:17",
"content": "yk",
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"timestamp": "10/24/2022 04:37:21",
"content": "just think of the unit circle",
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"timestamp": "10/24/2022 04:37:26",
"content": "every pi you move by it will be zero",
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"timestamp": "10/24/2022 04:37:30",
"content": "so you can do n *pi",
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"timestamp": "10/24/2022 04:38:16",
"content": "so it would be pi/4 + pin?",
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"timestamp": "10/24/2022 04:39:13",
"content": "what would",
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"timestamp": "10/24/2022 04:40:22",
"content": "For this equation, the asymptotes",
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"timestamp": "10/24/2022 04:44:33",
"content": "$\\sin(\\frac{2}{3}x - \\frac{\\pi}{6}) = 0$",
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"timestamp": "10/24/2022 04:44:36",
"content": "**dog.**",
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"timestamp": "10/24/2022 04:44:54",
"content": "Oops I figured it out",
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"id": 1034024715175608400,
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"timestamp": "10/24/2022 04:45:03",
"content": "$\\frac{2}{3}x - \\frac{\\pi}{6} = \\pi n, n \\in \\mathbb{Z}$",
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"timestamp": "10/24/2022 04:45:04",
"content": "It snot + 2pin, its + the period",
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"timestamp": "10/24/2022 04:45:05",
"content": "okay",
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"timestamp": "10/24/2022 04:45:05",
"content": "**dog.**",
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"timestamp": "10/24/2022 04:45:40",
"content": "yea ofc",
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"timestamp": "10/24/2022 04:45:54",
"content": "its a periodic function so the asymptote will also occur periodically",
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"timestamp": "10/24/2022 04:46:20",
"content": "Little slow lol\nPre-Calc is difficult for me cuz of how my school structures its",
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"timestamp": "10/24/2022 04:46:40",
"content": "yeah america",
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"timestamp": "10/24/2022 04:46:43",
"content": "feels bad",
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"id": 1034025137508458600,
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"author_name": "VIC",
"timestamp": "10/24/2022 04:46:44",
"content": "Thx so much, just like another user here, you have been more help to me this past 30 minutes than my teacher all year",
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"timestamp": "10/24/2022 04:46:52",
"content": "np",
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"author_name": "VIC",
"timestamp": "10/24/2022 04:48:07",
"content": "Is the asymtote equeation pi/4 + 3pin?",
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"timestamp": "10/24/2022 04:48:15",
"content": "also its half the periodic cause it occurs every half turn",
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"timestamp": "10/24/2022 04:48:25",
"content": "like for the first one the period is 6pi",
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"timestamp": "10/24/2022 04:49:08",
"content": "mm no",
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"timestamp": "10/24/2022 04:49:15",
"content": "oh so it would be pi/4 + 3pin/2?",
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"id": 1034025792658755600,
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"timestamp": "10/24/2022 04:49:20",
"content": "ye",
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"id": 1034025813974192100,
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"timestamp": "10/24/2022 04:49:25",
"content": "👍",
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"id": 1034025815194742900,
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"timestamp": "10/24/2022 04:49:25",
"content": "Awesome!",
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"id": 1034025840725459000,
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"timestamp": "10/24/2022 04:49:31",
"content": "Everytime?",
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"timestamp": "10/24/2022 04:49:38",
"content": "It will be half periodic?",
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"timestamp": "10/24/2022 04:49:42",
"content": "just consider the function you are working with",
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"timestamp": "10/24/2022 04:49:53",
"content": "you will get the same answer if you work it out algebraically anyway",
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"timestamp": "10/24/2022 04:49:58",
"content": "wdym?",
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"timestamp": "10/24/2022 04:50:01",
"content": "and thats the way you are probably expected to use",
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"timestamp": "10/24/2022 04:50:09",
"content": "I know cot and tan are different",
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"timestamp": "10/24/2022 04:50:17",
"content": "i mean dont treat it as a rule for any problem think about the function and see if it makes sense",
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"timestamp": "10/24/2022 04:50:19",
"content": "But will ur equation work for csc and sec?",
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"timestamp": "10/24/2022 04:50:22",
"content": "here lemme show u a pic",
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"timestamp": "10/24/2022 04:51:40",
"content": "this is just for sine but see 0 occurs every half turn",
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"timestamp": "10/24/2022 04:51:47",
"content": "but a period is every full turn",
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"timestamp": "10/24/2022 04:52:02",
"content": "well this is for them",
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"timestamp": "10/24/2022 04:52:14",
"content": "if you have 1/csc thats just sine",
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"timestamp": "10/24/2022 04:52:16",
"content": "and no aymptote",
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"timestamp": "10/24/2022 04:53:33",
"content": "Oh yea I knpw",
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"timestamp": "10/24/2022 04:53:53",
"content": "I mean is the equation u showed work for any csc and sec equation to find asymtote?",
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"id": 1034027023422718000,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:54:13",
"content": "i dont understand what you are asking",
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},
{
"id": 1034027061725102100,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:54:22",
"content": "Does sec also happen half periodically?",
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},
{
"id": 1034027095598301200,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:54:30",
"content": "yes",
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},
{
"id": 1034027116389474300,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:54:35",
"content": "Wait i confused myself",
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},
{
"id": 1034027120244031500,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:54:36",
"content": "cos(x) = 0 at pi/2 and 3pi/2",
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"id": 1034027130096468000,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:54:39",
"content": "Sorry yes",
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"id": 1034027131514134500,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:54:39",
"content": "every half turn",
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"id": 1034027209079410700,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 04:54:57",
"content": "Thx for ur help!",
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},
{
"id": 1034027231988678700,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:55:03",
"content": "no problem",
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"id": 1034027659275014100,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "10/24/2022 04:56:45",
"content": "e",
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"id": 1034028589491949600,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "10/24/2022 05:00:27",
"content": ".close",
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"id": 1034028592650277000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/24/2022 05:00:27",
"content": "Channel closed",
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] | help-9 | 9a354628db244627b1e8356157898ee1 |
201,985 | [
{
"id": 1048051912903249900,
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 20:44:07",
"content": "Available help channel!",
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"id": 1048052282937315300,
"author_id": 188637033294462980,
"author_name": "todadqa",
"timestamp": "12/01/2022 20:45:36",
"content": "Is $\\frac{x^2(x^2-y^2)}{(x^2+y^2)^2}$ continuous at (0,0) ?",
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"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "12/01/2022 20:45:38",
"content": "**todadqa**",
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"author_name": "todadqa",
"timestamp": "12/01/2022 20:46:51",
"content": "And is it the case that if i can find (x,g(x)) such that x -> 0 and g(x) -> 0 but f(x,g(x)) != f(0,0)",
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"timestamp": "12/01/2022 20:47:00",
"content": "also note f(0,0)=0",
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"timestamp": "12/01/2022 20:47:19",
"content": "aha sorry",
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"id": 1048052735863435400,
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"timestamp": "12/01/2022 20:47:24",
"content": "important point",
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"author_name": "Modus",
"timestamp": "12/01/2022 20:49:25",
"content": "yep, this concept is true, find two paths which gives other value of the limit",
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"id": 1048053354544238600,
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"author_name": "Modus",
"timestamp": "12/01/2022 20:49:51",
"content": "(and different from f(0,0) = 0)",
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"id": 1048053600179454100,
"author_id": 264901235834880000,
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"timestamp": "12/01/2022 20:50:50",
"content": "in fact in this case finding only one like you've typed it's ok",
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"id": 1048053693817303000,
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"author_name": "todadqa",
"timestamp": "12/01/2022 20:51:12",
"content": "For $\\frac{2xy^3}{(x^2+y^2)^2}$ it is clear that (x,ax) suffices",
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"id": 1048053702440788000,
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"author_name": "todadqa",
"timestamp": "12/01/2022 20:51:14",
"content": "but in this case",
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"timestamp": "12/01/2022 20:51:15",
"content": "**todadqa**",
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"id": 1048053789984313500,
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"author_name": "todadqa",
"timestamp": "12/01/2022 20:51:35",
"content": "an (x,g(x)) or (g(y),y) really isnt clear to me",
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"id": 1048053943277719600,
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"author_name": "Modus",
"timestamp": "12/01/2022 20:52:11",
"content": "(x, g(x)) means you look for the path y = f(x), like in this case y = ax",
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"id": 1048054090770436100,
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"timestamp": "12/01/2022 20:52:47",
"content": "(g(y), y) means you look for the path x = f(y), in this case it might be (ay, y)",
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"timestamp": "12/01/2022 20:52:57",
"content": "e.g. for x = 2y we have 12/25",
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"author_name": "todadqa",
"timestamp": "12/01/2022 20:53:26",
"content": "oh man. yes thank you i brainfarted",
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"timestamp": "12/01/2022 20:53:36",
"content": "really helpful ! thanks!",
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"id": 1048054953844936700,
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"timestamp": "12/01/2022 20:56:12",
"content": ".close",
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{
"id": 1048054956399280100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 20:56:13",
"content": "Channel closed",
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}
] | help-9 | 1e305cb5202a43fb8407da4a97be6330 |
201,986 | [
{
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"author_id": 494710411229265900,
"author_name": "Ink",
"timestamp": "12/01/2022 20:59:28",
"content": "I have no idea what im doing here any help will be very helpful",
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"timestamp": "12/01/2022 20:59:28",
"content": "Pinned a message.",
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"timestamp": "12/01/2022 21:02:30",
"content": ".close",
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"id": 1048056541200261100,
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"timestamp": "12/01/2022 21:02:31",
"content": "Channel closed",
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] | help-9 | c6768a8dbe47409abb79483110ea8697 |
201,987 | [
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"id": 1048058315080487000,
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"timestamp": "12/01/2022 21:09:34",
"content": "Available help channel!",
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"timestamp": "12/01/2022 21:16:57",
"content": "Pinned a message.",
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"id": 1048060608022593500,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "12/01/2022 21:18:40",
"content": "take out x in the numerator and the denominator",
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"timestamp": "12/01/2022 21:19:07",
"content": "take x common",
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"timestamp": "12/01/2022 21:19:07",
"content": "(x^4 inside the 4th root)",
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"timestamp": "12/01/2022 21:19:23",
"content": "wdym?",
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"timestamp": "12/01/2022 21:19:52",
"content": "from numerator , take x common\nfrom denominator , take x^4 common bcoz there is 4th root and so when u take x^4 common it becomes x",
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"timestamp": "12/01/2022 21:20:07",
"content": "ok",
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"timestamp": "12/01/2022 21:20:10",
"content": "and then just apply limits\n\n1/x will tend to 0 coz x tends to -infinity",
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"timestamp": "12/01/2022 21:20:34",
"content": "wait how 1/x?",
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"id": 1048061128539918300,
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"timestamp": "12/01/2022 21:20:45",
"content": "because if I take out x^4 it will be only x",
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"timestamp": "12/01/2022 21:20:55",
"content": "oooh wait",
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"timestamp": "12/01/2022 21:20:56",
"content": "wait",
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"timestamp": "12/01/2022 21:22:02",
"content": "bro\nin numerator ull have x(1+1/x)\ndenominator will be x(1-(5/x^4)+(3/x^3))^1/4",
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"timestamp": "12/01/2022 21:22:09",
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"timestamp": "12/01/2022 21:22:12",
"content": "now apply limits",
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"timestamp": "12/01/2022 21:22:18",
"content": "I got this as result",
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"author_name": "RDT",
"timestamp": "12/01/2022 21:22:29",
"content": "ans shud be 1",
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"author_name": "RDT",
"timestamp": "12/01/2022 21:22:44",
"content": "bcoz 1/x , 5/x^4 , 3/x^3 all become 0",
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"timestamp": "12/01/2022 21:23:26",
"content": "can you write it in paint real quick?",
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"timestamp": "12/01/2022 21:23:31",
"content": "wait",
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"id": 1048062571229499500,
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"author_name": "RDT",
"timestamp": "12/01/2022 21:26:29",
"content": "can u understand it now ?",
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"timestamp": "12/01/2022 21:26:53",
"content": "@Pete",
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"timestamp": "12/01/2022 21:27:04",
"content": "3x is not under the root",
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"timestamp": "12/01/2022 21:27:13",
"content": "oh what",
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"timestamp": "12/01/2022 21:27:15",
"content": "bruhh",
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"timestamp": "12/01/2022 21:27:20",
"content": "yeah",
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"timestamp": "12/01/2022 21:27:23",
"content": "ok then",
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"author_name": "RDT",
"timestamp": "12/01/2022 21:27:34",
"content": "take x^4 common from root",
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},
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"id": 1048062862276427800,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:27:38",
"content": "it becomes x",
"attachments": [],
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},
{
"id": 1048062927627894800,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:27:54",
"content": "now take x common from num n denom",
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"reference": null
},
{
"id": 1048062967175979000,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:28:03",
"content": "ans will be 1/1+3 = 1/4",
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},
{
"id": 1048063041452904400,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:28:21",
"content": "wait what?",
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"id": 1048063064584495100,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:28:26",
"content": "I didnt get that answer",
"attachments": [],
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},
{
"id": 1048063127901720600,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:28:41",
"content": "why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048063376280010800,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:29:40",
"content": "u got it now ?\nor shud i write n send again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048063542785495200,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:30:20",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1048063542563188806/rn_image_picker_lib_temp_dc516750-4291-4a3f-9277-2757c46375fa.jpg",
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{
"id": 1048063598792036500,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:30:34",
"content": "This is what I got",
"attachments": [],
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},
{
"id": 1048063612616446100,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:30:37",
"content": "broo",
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},
{
"id": 1048063628596744300,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:30:41",
"content": "no?",
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},
{
"id": 1048063663027790000,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:30:49",
"content": "when u take x^4 common it becomes 1-5/x^4",
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},
{
"id": 1048063714512867300,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:31:01",
"content": "ur doing it wrong",
"attachments": [],
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},
{
"id": 1048063777268039800,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:31:16",
"content": "wait so under the root should be 1-5?",
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},
{
"id": 1048063863960113300,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:31:37",
"content": "can you write it down please 🙂",
"attachments": [],
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},
{
"id": 1048063889109156000,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:31:43",
"content": "bruhh",
"attachments": [],
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"reference": null
},
{
"id": 1048063892686901200,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:31:44",
"content": "okk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048063944775962600,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:31:56",
"content": "thanks man",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048064368027369600,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:33:37",
"content": "",
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{
"id": 1048064738124386400,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:35:05",
"content": "@Pete understood ?",
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"name": "Pete",
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},
{
"id": 1048064780000309400,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:35:15",
"content": "you sure about this?",
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"name": "RDT",
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{
"id": 1048064874657349800,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:35:38",
"content": "thanks alot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048064883935170700,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:35:40",
"content": "yes ofc wdym",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048064903379963900,
"author_id": 929724109011681300,
"author_name": "RDT",
"timestamp": "12/01/2022 21:35:45",
"content": "npnpnpnp",
"attachments": [],
"mentions": [
{
"id": 851859460351066100,
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},
{
"id": 1048065009193865200,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:36:10",
"content": "how do I close this?",
"attachments": [],
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"reference": null
},
{
"id": 1048065019679621100,
"author_id": 851859460351066100,
"author_name": "Pete",
"timestamp": "12/01/2022 21:36:12",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048065022091350100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 21:36:13",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 53f2636b78f540a189fd70f3addbedb4 |
201,988 | [
{
"id": 1048065275389546600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 21:37:13",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1048066207070294000,
"author_id": 291714307090284540,
"author_name": "CashMoney",
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"timestamp": "12/01/2022 21:40:56",
"content": "Pinned a message.",
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"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:41:04",
"content": "am i able to solve this by using a x puzzle ?",
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},
{
"id": 1048066384418046100,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:41:38",
"content": "what are you trying ot get",
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},
{
"id": 1048066399244914700,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:41:41",
"content": "*to",
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},
{
"id": 1048066441838084100,
"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:41:51",
"content": "what x equals to",
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},
{
"id": 1048066453926056100,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:41:54",
"content": "ok",
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},
{
"id": 1048066473698000900,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:41:59",
"content": "so add 6 to zero",
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},
{
"id": 1048066494283665400,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:42:04",
"content": "the siz on the right is gone",
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},
{
"id": 1048066564370481300,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:42:21",
"content": "six equals 2 ex squared plus eleven x",
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},
{
"id": 1048066601519431800,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:42:29",
"content": "then divide",
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},
{
"id": 1048066663511244800,
"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:42:44",
"content": "in the video i saw person use quadratic formula but i used x puzzle and i got a diff answer",
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},
{
"id": 1048066683425804400,
"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:42:49",
"content": "divide by what?",
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},
{
"id": 1048066727700860900,
"author_id": 992218706404986900,
"author_name": "ralvrz",
"timestamp": "12/01/2022 21:43:00",
"content": "What's the x puzzle?",
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},
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"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:43:08",
"content": "",
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"id": 1048066899973521400,
"author_id": 992218706404986900,
"author_name": "ralvrz",
"timestamp": "12/01/2022 21:43:41",
"content": "?",
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},
{
"id": 1048067003929346000,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:44:05",
"content": "x equals 27/99",
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},
{
"id": 1048067016084422700,
"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:44:08",
"content": "can i not use x puzzle to solve for x?",
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},
{
"id": 1048067076813750300,
"author_id": 291714307090284540,
"author_name": "CashMoney",
"timestamp": "12/01/2022 21:44:23",
"content": "the guy got 1/2 and -6",
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},
{
"id": 1048067194480762900,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:44:51",
"content": "simplified answer is 3/11",
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},
{
"id": 1048067226848198800,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:44:59",
"content": "now elts check it",
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},
{
"id": 1048067403902374000,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:45:41",
"content": "Oh",
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},
{
"id": 1048067422218887200,
"author_id": 757582629053923500,
"author_name": "Chiken in le tree",
"timestamp": "12/01/2022 21:45:45",
"content": "i thought that was it",
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},
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"id": 1048070852844978200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 21:59:23",
"content": "@CashMoney Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 22:14:24",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | d99bc281c3c34314921a29cc31c98cbd |
201,989 | [
{
"id": 1048074881683701800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/01/2022 22:15:24",
"content": "Available help channel!",
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},
{
"id": 1048075136118562800,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:16:24",
"content": "how did they",
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},
{
"id": 1048075136714145800,
"author_id": 1023853486783336400,
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"id": 1048075138442199000,
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"timestamp": "12/01/2022 22:16:25",
"content": "Pinned a message.",
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{
"id": 1048075148512731300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:16:27",
"content": "simplify that to this",
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},
{
"id": 1048075433087873000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/01/2022 22:17:35",
"content": "Factor e^-t out of both terms\nFactor e^-t out of all 4 terms",
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},
{
"id": 1048075449575678100,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:17:39",
"content": "",
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{
"id": 1048075455166677100,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:17:40",
"content": "this is what i get",
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},
{
"id": 1048075564856115200,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:18:06",
"content": "i multiplied them out",
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},
{
"id": 1048075576512090100,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:18:09",
"content": "and simplified",
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},
{
"id": 1048075579292913800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/01/2022 22:18:10",
"content": "Okay, that works too. However, you've dropped your t's",
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},
{
"id": 1048075607025668100,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:18:17",
"content": "they cancel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048075613694607400,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:18:18",
"content": "each other out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048075654958174200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/01/2022 22:18:28",
"content": "Oop you're right they do",
"attachments": [],
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"reference": null
},
{
"id": 1048075688047030300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:18:36",
"content": "how are they getting that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048075694313316400,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:18:37",
"content": "and i get this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048075702181843000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/01/2022 22:18:39",
"content": "No you're wrong they don't",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048075784528609300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/01/2022 22:18:59",
"content": "Remember to distribute the - when you are going to line 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048076155636420600,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/01/2022 22:20:27",
"content": "my equation had sign difference",
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"content": "another questionm",
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"content": "when u log",
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"content": "that would it be ln2t * -2t",
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"content": "or 2t * -2t",
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"content": "@Hoesmad Has your question been resolved?",
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] | help-9 | 6142adaf2bd741f6aa723915f29d410e |
201,990 | [
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"content": "how can i find an initial investment to double if compounded continuously",
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"content": "obviously to find how much it will be in a certain amount of time",
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"content": "but what do you change around in this situation to find the doubled amount",
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"content": "I tried, doubling the P and then leaving T to be solved, but that didn't work",
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] | help-9 | 512ba919d5ef4076b47695133e535661 |
201,991 | [
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] | help-9 | d3f74c56e96f4770be8c35ab5ea2f9f8 |
201,992 | [
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"content": "a litte help please",
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"content": "how did you find me",
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"timestamp": "12/02/2022 00:08:04",
"content": "i was so esperate",
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"id": 1048103243915481100,
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"content": "desperate",
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"timestamp": "12/02/2022 00:08:11",
"content": "i looked through the servers",
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"timestamp": "12/02/2022 00:08:12",
"content": "i changed my identity",
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"timestamp": "12/02/2022 00:08:19",
"content": "i hid from the police for years",
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"timestamp": "12/02/2022 00:08:27",
"content": "i was on the run",
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"author_name": "Hakosh",
"timestamp": "12/02/2022 00:08:33",
"content": "i was a gta wanted level 5",
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"timestamp": "12/02/2022 00:08:47",
"content": "You can have tour freedom if you help me",
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"id": 1048103499633803300,
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"timestamp": "12/02/2022 00:09:07",
"content": "its basic hw should be ez for a gta wanted level 5",
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"content": "uhhh @Hakosh",
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"content": "hi",
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"timestamp": "12/02/2022 00:10:02",
"content": "Can you look through what i did wrong",
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"timestamp": "12/02/2022 00:10:23",
"content": "my work on the top answer on the slide",
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"timestamp": "12/02/2022 00:10:26",
"content": "it is my goal to help you",
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"timestamp": "12/02/2022 00:10:32",
"content": "@Vort but for me to help you",
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"timestamp": "12/02/2022 00:10:33",
"content": "Sjnce it's dividing two complex fractions",
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"timestamp": "12/02/2022 00:10:36",
"content": "you must first help yourself",
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"timestamp": "12/02/2022 00:10:43",
"content": "u can multiply by the reciprocal",
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"timestamp": "12/02/2022 00:10:51",
"content": "I did hat",
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"timestamp": "12/02/2022 00:10:52",
"content": "that",
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"timestamp": "12/02/2022 00:10:56",
"content": "look at my work :/",
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"timestamp": "12/02/2022 00:11:01",
"content": "its not that messy",
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"timestamp": "12/02/2022 00:11:03",
"content": "nop",
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"timestamp": "12/02/2022 00:11:14",
"content": "😦 y",
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"content": "hi",
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"content": "me",
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"content": "what if u don't cancel out the x - 5s and instead cross multiply to get rid of the fractions",
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"content": "but i didnt do anything wrong and why would i not cancel the more simplifies the better :/",
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"content": "$((x + 1)(x - 2)(x - 5))/(x - 1)(x)(x - 3) = (x + 1)/(x - 5)$",
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"content": "because you can get rid of the fraction that way to simplify it",
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"content": "so hm\nidk\nit'll be $(x - 5)²(x - 2)(x + 1) = x(x - 3)(x - 1)(x + 1)$",
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"content": "$(x - 5)²(x - 2) = x(x - 3)(x - 1)$",
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"content": "now u can prolly start multiplying",
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"content": "$(x² - 10x + 25)(x - 2) = (x² - 3x)(x - 1)$",
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"timestamp": "12/02/2022 00:17:31",
"content": "x³ - 10x² + 25x -2x² + 20x - 50 = (x² - 3x)(x - 1)",
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"content": "x³ - 12x² + 45x - 50",
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"content": "$x³ - 12x² + 45x - 50 = x³ - 2x² + 3x$",
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"content": "this seems wrong",
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"content": "Probably",
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"timestamp": "12/02/2022 00:18:53",
"content": "dosent match up with",
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"content": "**rollo**",
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"content": "We'll try it anyway",
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"content": "$-14x² - 42x = 0$",
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"content": "**rollo**",
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"timestamp": "12/02/2022 00:19:20",
"content": "This seems promising",
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"content": "$14x² = 42x$",
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"content": "**rollo**",
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"content": "Oh it's negative",
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"content": "14x = -42",
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"content": "I give up",
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"content": "*gives up on 9th grade math *",
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] | help-9 | 1bcf52f84c2243b280463429c2d26ca7 |
201,993 | [
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] | help-9 | d43c1135195d41eb98ffad14585bfed1 |
201,994 | [
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"content": "how to work out an estimate",
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"content": "@Aryan_25 Has your question been resolved?",
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"timestamp": "12/02/2022 03:41:34",
"content": "No one is here to solve my prob",
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"content": "what is your question @Aryan_25",
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"content": "write the definition of frequency density",
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"timestamp": "12/02/2022 03:47:02",
"content": "you should be able to solve now",
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"timestamp": "12/02/2022 03:47:02",
"content": "here it is,",
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"content": "But how to work out the estimate",
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"content": "you have to multiply height * width of each rectangle",
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"timestamp": "12/02/2022 03:55:17",
"content": "Thank you",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | c28ecdad129e4b44bc60454ce69a3053 |
201,995 | [
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201,996 | [
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"timestamp": "12/02/2022 04:08:37",
"content": "the typesetting :opencry:",
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"content": "first step would be to subtract 1 from both sides",
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"content": "then write the left hand side as a single fraction and do a sign analysis",
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"content": "you look familiar",
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"content": "what's sign analusis",
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"content": "multiply both likes by x+5",
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"content": "also note that x cannot equal -5",
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"content": "because elbez. if x equaled -5 then the left would be undefined",
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"timestamp": "12/02/2022 04:17:02",
"content": "you would have a fraction over 0",
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"content": "like this?",
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"timestamp": "12/02/2022 04:17:26",
"content": "ya",
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"timestamp": "12/02/2022 04:17:33",
"content": "what's next",
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"timestamp": "12/02/2022 04:17:55",
"content": "solve the equation. treat the greater than sign as a equal sign",
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"timestamp": "12/02/2022 04:18:33",
"content": "no",
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"content": "no",
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"timestamp": "12/02/2022 04:18:35",
"content": "what's next?",
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"author_id": 183668144404037630,
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"timestamp": "12/02/2022 04:18:36",
"content": "no",
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"content": "no",
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"content": "no",
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"timestamp": "12/02/2022 04:18:38",
"content": "no",
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"timestamp": "12/02/2022 04:18:44",
"content": "multiplying both sides by (x+5) is illegal",
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:18:59",
"content": "yeah I didn't get the answer I was looking fkr",
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"timestamp": "12/02/2022 04:19:08",
"content": "you can only multiply by things for which you know whether they're positive or negative. that, _or_ you set yourself up for mountains of casework.",
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"timestamp": "12/02/2022 04:19:19",
"content": "I'm looking for -5<x<=8 as the answer",
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"timestamp": "12/02/2022 04:19:23",
"content": "do as i told first.",
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"timestamp": "12/02/2022 04:20:01",
"content": "nevermind im wrong 😦 . ann knows how to solve it",
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"timestamp": "12/02/2022 04:20:21",
"content": "like this?",
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"timestamp": "12/02/2022 04:20:45",
"content": "> then write the left hand side as a single fraction",
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"id": 1048166874988412900,
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"timestamp": "12/02/2022 04:20:56",
"content": "how do I do that",
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:21:11",
"content": "is this correct though?",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 04:21:31",
"content": "yes, otherwise i would have pointed out any mistake(s) you've made.",
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"timestamp": "12/02/2022 04:21:43",
"content": "so how do I do this",
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"author_name": "Ann",
"timestamp": "12/02/2022 04:22:16",
"content": "do you know how to add fractions?",
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:22:23",
"content": "no",
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"id": 1048167287351414800,
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:22:35",
"content": "I don't know what the terms means",
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"timestamp": "12/02/2022 04:22:39",
"content": "can you demonstrate?",
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"author_name": "Ann",
"timestamp": "12/02/2022 04:23:24",
"content": "you don't know what the word \"fraction\" means?",
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"id": 1048167505954345000,
"author_id": 183668144404037630,
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"timestamp": "12/02/2022 04:23:27",
"content": "what is your native language?",
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"id": 1048167596270309400,
"author_id": 453930365946429440,
"author_name": "Elbez",
"timestamp": "12/02/2022 04:23:48",
"content": "I know English, I'm just dumb",
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"id": 1048167614725247000,
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:23:53",
"content": "so what's the next step",
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"id": 1048167653518360600,
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:24:02",
"content": "I think I do know how to add fractions",
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"id": 1048167754101964800,
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"timestamp": "12/02/2022 04:24:26",
"content": "then do it",
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"timestamp": "12/02/2022 04:24:34",
"content": "you have the fractions (2x-3)/(x+5) and (-1)/1",
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"timestamp": "12/02/2022 04:24:35",
"content": "add them",
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"timestamp": "12/02/2022 04:25:19",
"content": "",
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"timestamp": "12/02/2022 04:25:29",
"content": "no. bad.",
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"author_id": 183668144404037630,
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"timestamp": "12/02/2022 04:25:39",
"content": "would you add the fractions 1/2 + 3/4 by writing (1+3)/(2+4)? surely not.",
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"content": "wait",
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"author_name": "Infinite Worfare",
"timestamp": "12/02/2022 04:27:25",
"content": "i get 2x-3-x-5",
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"timestamp": "12/02/2022 04:27:29",
"content": "and you are both wrong.",
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:27:36",
"content": "what the fuck",
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},
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"id": 1048168570586157000,
"author_id": 183668144404037630,
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"timestamp": "12/02/2022 04:27:41",
"content": "ok, wait, no",
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"id": 1048168593717743600,
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"timestamp": "12/02/2022 04:27:46",
"content": "infinite worfare is right _for the numerator_.",
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"timestamp": "12/02/2022 04:27:51",
"content": "yay",
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"id": 1048168645974556700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 04:27:59",
"content": "$\\frac{2x-3-(x+5)}{x+5} \\geq 0$",
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},
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"id": 1048168654430281700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/02/2022 04:28:01",
"content": "**Ann**",
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"id": 1048168665507446800,
"author_id": 183668144404037630,
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"timestamp": "12/02/2022 04:28:03",
"content": "this is what you should have gotten",
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{
"id": 1048168710449406000,
"author_id": 453930365946429440,
"author_name": "Elbez",
"timestamp": "12/02/2022 04:28:14",
"content": "wait",
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},
{
"id": 1048168749376745500,
"author_id": 453930365946429440,
"author_name": "Elbez",
"timestamp": "12/02/2022 04:28:23",
"content": "should the brackets be the other way around?",
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"author_id": 453930365946429440,
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"timestamp": "12/02/2022 04:28:30",
"content": "like around 2x-3",
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{
"id": 1048168832520437800,
"author_id": 453930365946429440,
"author_name": "Elbez",
"timestamp": "12/02/2022 04:28:43",
"content": "wait nvm",
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},
{
"id": 1048169030118293600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 04:29:30",
"content": "you can put parentheses around 2x-3 as well if you want.",
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"id": 1048169049999278100,
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"timestamp": "12/02/2022 04:29:35",
"content": "it makes no difference.",
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"id": 1048169143414825100,
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"author_name": "Elbez",
"timestamp": "12/02/2022 04:29:57",
"content": "it's okay I don't think I have timr anymore. Thanks for helping though!",
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"id": 1048169332598898700,
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"content": "exam starting in 30 mins",
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"id": 1048169339297206400,
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"timestamp": "12/02/2022 04:30:44",
"content": ".close",
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},
{
"id": 1048169342438748300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Channel closed",
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}
] | help-9 | 7f04f28aacfc48309fc5a73d44c4bfd1 |
201,997 | [
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"timestamp": "12/02/2022 08:14:47",
"content": "Available help channel!",
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},
{
"id": 1048225927299072100,
"author_id": 424947484582740000,
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"timestamp": "12/02/2022 08:17:13",
"content": "Pinned a message.",
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"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:17:34",
"content": "to work out P, do I just do 6cos(60)?",
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"timestamp": "12/02/2022 08:21:54",
"content": "yeah",
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"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:22:09",
"content": "$\\sum F_y = 0$",
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"timestamp": "12/02/2022 08:22:12",
"content": "**♡LexQa♡**",
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"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:22:21",
"content": "apparently thats not the answer tho",
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{
"id": 1048227740534452200,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:22:48",
"content": "it says 4.73",
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"id": 1048227757240365000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:22:52",
"content": "oh sorry",
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{
"id": 1048227812777140400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:23:05",
"content": "there is also the 2 N force too",
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{
"id": 1048227834147115000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:23:10",
"content": "write that in its components too",
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},
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"id": 1048227874727002100,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:23:20",
"content": "how do I do that?",
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{
"id": 1048228258346451000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:24:51",
"content": "divide it into its components, It is the same way of how you wrote that weight in its components",
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"id": 1048228674664665200,
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"author_name": "Espress",
"timestamp": "12/02/2022 08:26:31",
"content": "im so lost",
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"id": 1048229146301571100,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:28:23",
"content": "so I have to account for the 2N inside the forces, how should I incorporate that into the 6cos(60), do I need to do 6cos(60) - x = 0?",
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"id": 1048229216791056500,
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"timestamp": "12/02/2022 08:28:40",
"content": "and the X is the thing with the 2N",
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"timestamp": "12/02/2022 08:29:56",
"content": "@Espress",
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"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:29:59",
"content": "Drew a rough sketch",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:30:21",
"content": "The 2N has a horizontal and vertical component, just like the 6N",
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"timestamp": "12/02/2022 08:30:41",
"content": "We want to include that vertical component to find out our PN",
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"author_name": "Espress",
"timestamp": "12/02/2022 08:30:53",
"content": "hm okay",
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"timestamp": "12/02/2022 08:32:00",
"content": "how should I include it tho",
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"timestamp": "12/02/2022 08:37:03",
"content": "do you know how we got the 6Ncos(theta) and the 6Nsin(theta) @Espress",
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"author_name": "Espress",
"timestamp": "12/02/2022 08:37:48",
"content": "i dont really know how but i just know thats what I have to do",
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"timestamp": "12/02/2022 08:38:18",
"content": "hm, thats going to be a bit tricky to explain then",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:38:41",
"content": "are you familiar with how we write vectors in their vector components?",
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"id": 1048231773357736000,
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"author_name": "Espress",
"timestamp": "12/02/2022 08:38:49",
"content": "kind of",
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"id": 1048231832589701100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:39:04",
"content": "yes, so we are more or less applying the same idea here",
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"id": 1048232408325038100,
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"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:41:21",
"content": "https://youtu.be/8-jtzHPo9iI @Espress",
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"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:41:32",
"content": "This is of a similar problem",
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"id": 1048232480953614300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/02/2022 08:41:38",
"content": "Maybe watching will give you in sight",
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"id": 1048232507927187500,
"author_id": 414435389198041100,
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"timestamp": "12/02/2022 08:41:45",
"content": "thanks ill have a look",
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"id": 1048233778981654500,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:46:48",
"content": "ah I understand how to get the normal now",
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},
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"id": 1048233932723863700,
"author_id": 414435389198041100,
"author_name": "Espress",
"timestamp": "12/02/2022 08:47:24",
"content": "to find the Q should I resolve the parallel forces?",
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"id": 1048234444668014700,
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"author_name": "Espress",
"timestamp": "12/02/2022 08:49:26",
"content": ".close",
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},
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"id": 1048234447381733400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 08:49:27",
"content": "Channel closed",
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}
] | help-9 | 8174567e80004840b05c84080b8ff011 |
201,998 | [
{
"id": 1048239829487472800,
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"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 09:10:50",
"content": "Available help channel!",
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},
{
"id": 1048241365609369600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 09:16:56",
"content": "Pinned a message.",
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"id": 1048241425353031700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/02/2022 09:17:11",
"content": "what can i do next in this proof?",
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},
{
"id": 1048241702680416300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 09:18:17",
"content": "can't help but think you've overcomplicated this somewhat",
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},
{
"id": 1048241715338813400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 09:18:20",
"content": "and/or gone in circles",
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},
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"id": 1048242287135694800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/02/2022 09:20:36",
"content": "i was doing this with one of the helpers last night. I originally had a route of doing it through the let z1 = a +bi.. form, but they told me that it would be better doing it via the solution ive just posted",
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"id": 1048242350549369000,
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"timestamp": "12/02/2022 09:20:51",
"content": "nyeh",
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},
{
"id": 1048242372695314400,
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"timestamp": "12/02/2022 09:20:57",
"content": "it's still way too wordy imo",
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"timestamp": "12/02/2022 09:21:12",
"content": "let r = |z_1| = |z_2|, then we know that r^2 = 4 by taking absolute values on both sides of z_1 z_2 = 4",
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"timestamp": "12/02/2022 09:21:15",
"content": "therefore we know r = 2",
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"timestamp": "12/02/2022 09:21:42",
"content": "therefore we know z_1/2 and z_2/2 are both points on the unit circle and that (z_1/2) * (z_2/2) = 1",
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"content": "the inverse of a number on the unit circle is the same as its conjugate",
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"timestamp": "12/02/2022 09:25:11",
"content": "why do u divide z1 and z2 by 2?",
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"timestamp": "12/02/2022 09:26:09",
"content": "in spirit it's kind of like normalizing a vector",
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"id": 1048243779905261600,
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"timestamp": "12/02/2022 09:26:32",
"content": "i want to say something about some points on the unit circle",
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"timestamp": "12/02/2022 09:27:57",
"content": "i mean, you can do without that.",
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"timestamp": "12/02/2022 09:28:16",
"content": "you can just say $z_2 = \\frac{4}{z_1} = \\frac{4\\overline{z_1}}{|z_1|^2}$",
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"timestamp": "12/02/2022 09:28:19",
"content": "**Ann**",
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"timestamp": "12/02/2022 09:28:23",
"content": "maybe it will be less mysterious that way",
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"id": 1048244252909510700,
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"timestamp": "12/02/2022 09:28:25",
"content": "someone told me u can show they have the same arguments",
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"timestamp": "12/02/2022 09:28:31",
"content": "not worth the effort.",
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"timestamp": "12/02/2022 09:40:29",
"content": "do i sub in what z1 and z2 are here?",
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"id": 1048247301379985400,
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"timestamp": "12/02/2022 09:40:32",
"content": "or not",
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"timestamp": "12/02/2022 09:40:41",
"content": "need to show the z2 = conj. z1",
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"id": 1048247389481336800,
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"timestamp": "12/02/2022 09:40:53",
"content": "you already know that these numbers have absolute value 2",
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"timestamp": "12/02/2022 09:41:02",
"content": "> let r = |z_1| = |z_2|, then we know that r^2 = 4 by taking absolute values on both sides of z_1 z_2 = 4\n> therefore we know r = 2\nthese lines of mine stand",
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"timestamp": "12/02/2022 09:41:12",
"content": "it is only the division by 2 that i retracted after you questioned me about it",
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"id": 1048247491503607800,
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"timestamp": "12/02/2022 09:41:17",
"content": "oh bruh",
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"id": 1048248157143847000,
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"timestamp": "12/02/2022 09:43:56",
"content": "think we done",
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"timestamp": "12/02/2022 09:44:17",
"content": "ur right absolute no need for argument route",
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"timestamp": "12/02/2022 09:44:21",
"content": "would have been way more effort",
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"id": 1048248322835620000,
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"timestamp": "12/02/2022 09:44:35",
"content": "glad we've come to the same conclusion.",
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"id": 1048248377411903600,
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"timestamp": "12/02/2022 09:44:48",
"content": "thanks for the help",
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"timestamp": "12/02/2022 09:46:22",
"content": ".close",
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"id": 1048248775807881200,
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"timestamp": "12/02/2022 09:46:23",
"content": "Channel closed",
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] | help-9 | da8610ed3ff44662bf387ebfc0fd3aea |
201,999 | [
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"id": 1048250425557655600,
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"timestamp": "12/02/2022 09:52:57",
"content": "Available help channel!",
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"author_id": 718461587236716500,
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"timestamp": "12/02/2022 10:06:34",
"content": "Do you know what the remainder theorem is",
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"author_id": 853201495524900900,
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"content": "the chinese remainder theorem?",
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"content": "Uh",
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"content": "i've heard of it but i don't really understand",
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"timestamp": "12/02/2022 10:07:15",
"content": "Have you not been taught a remainder theorem",
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"content": "no",
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"timestamp": "12/02/2022 10:08:04",
"content": "oh wait",
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"timestamp": "12/02/2022 10:08:12",
"content": "no different remainder theorem",
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"timestamp": "12/02/2022 10:09:14",
"content": "so $f(x)=2023x^{2022}+2022x^{2021}+\\cdots+2x+1$",
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"id": 1048254608507683000,
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"timestamp": "12/02/2022 10:09:34",
"content": "**TheGeneralisedPerson**",
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"timestamp": "12/02/2022 10:09:58",
"content": "then the remainder is $f(-1)$ right?",
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"timestamp": "12/02/2022 10:11:06",
"content": "ye",
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"timestamp": "12/02/2022 10:11:13",
"content": "ah ok thanks",
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"content": ".close",
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] | help-9 | 7af82829b5bb4020a519fbdacec0976e |
202,000 | [
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"content": "Available help channel!",
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"timestamp": "12/02/2022 10:29:24",
"content": "i have 10 other questions if anyone can help me with them i'd appreacate it.",
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"timestamp": "12/02/2022 10:30:36",
"content": "@doom 1/8 is wrong",
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"timestamp": "12/02/2022 10:31:20",
"content": "i'm thinking 1/4",
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"timestamp": "12/02/2022 10:31:25",
"content": "i created a sample space",
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"id": 1048260134935212200,
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"timestamp": "12/02/2022 10:31:31",
"content": "tt,th,ht,hh",
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"timestamp": "12/02/2022 10:31:37",
"content": "and theres only 1 tails tails",
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"timestamp": "12/02/2022 10:31:48",
"content": "a coin is tossed 3 times",
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"timestamp": "12/02/2022 10:31:54",
"content": "as per the question",
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"timestamp": "12/02/2022 10:32:07",
"content": "ur sample space is of when a coin is tossed 2 times",
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"id": 1048260359728943200,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/02/2022 10:32:25",
"content": "I mean P(at least 2 tails) means 2 or more",
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"timestamp": "12/02/2022 10:32:39",
"content": "I assume u said 1/8 bec u thought it was 3 time",
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"timestamp": "12/02/2022 10:32:51",
"content": "u need to consider 2 times also",
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"timestamp": "12/02/2022 10:33:00",
"content": "then add up the probability",
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"id": 1048260578826789000,
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"timestamp": "12/02/2022 10:33:17",
"content": "hmm",
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"author_name": "swaggofishballs",
"timestamp": "12/02/2022 10:33:35",
"content": "u can draw a tree diagram if you like",
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"id": 1048260688839200800,
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"timestamp": "12/02/2022 10:33:43",
"content": "my last guess would be 1/2",
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"id": 1048260703137562600,
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"timestamp": "12/02/2022 10:33:47",
"content": "ya",
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"id": 1048260787090755700,
"author_id": 731318903577378800,
"author_name": "doom",
"timestamp": "12/02/2022 10:34:07",
"content": "how do i find out if it's once or twice?",
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"id": 1048261158731251700,
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"author_name": "Kariok",
"timestamp": "12/02/2022 10:35:35",
"content": "if u would have spinned ur spinner once,what would ur sample space be?",
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"timestamp": "12/02/2022 10:35:39",
"content": "@doom",
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"author_name": "doom",
"timestamp": "12/02/2022 10:36:26",
"content": "bo bb oo ob?",
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},
{
"id": 1048261495932342300,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/02/2022 10:36:56",
"content": "no,if u spin ur spinner once,then u can get either brown or orange right?",
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},
{
"id": 1048261556699414700,
"author_id": 731318903577378800,
"author_name": "doom",
"timestamp": "12/02/2022 10:37:10",
"content": "oh",
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},
{
"id": 1048261567260672100,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/02/2022 10:37:13",
"content": "so sample space for 1 spin will be {B,O}",
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},
{
"id": 1048261645689962600,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/02/2022 10:37:32",
"content": "this is like tossing a coin,just the coin is replaced with spinner",
"attachments": [],
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},
{
"id": 1048261728208703500,
"author_id": 731318903577378800,
"author_name": "doom",
"timestamp": "12/02/2022 10:37:51",
"content": "oh so when the sample space has more then 1 it would be spinned twice?",
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},
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"id": 1048261989991985300,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/02/2022 10:38:54",
"content": "i didnt understand what ur trying to say",
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"id": 1048262149446828000,
"author_id": 731318903577378800,
"author_name": "doom",
"timestamp": "12/02/2022 10:39:32",
"content": "nvm",
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"id": 1048265329157099500,
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"author_name": "doom",
"timestamp": "12/02/2022 10:52:10",
"content": ".close",
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},
{
"id": 1048265333661761700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 10:52:11",
"content": "Channel closed",
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}
] | help-9 | bd2c683b117848678e920901a795e807 |
202,001 | [
{
"id": 1048265584082681900,
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"timestamp": "12/02/2022 10:53:11",
"content": "Available help channel!",
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},
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"id": 1048268103181664300,
"author_id": 755831671588126700,
"author_name": "RepliedPencil",
"timestamp": "12/02/2022 11:03:11",
"content": "Let f(x) = x + 1/x + 5 for x>0\n\nIf I only apply AM-GM inequality on x + 1/x, I get min{f(x)} = 2 + 3 = 5\n\nBut, if I apply AM-GM inequality on the whole f(x), then I get min{f(x)} = 3 × (5)^(1/3) which is slightly greater than actual minimum value 5\n\nWhy does this happen?",
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"id": 1048268105710846100,
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"timestamp": "12/02/2022 11:03:12",
"content": "Pinned a message.",
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"author_id": 718868761116934300,
"author_name": "Larrussy",
"timestamp": "12/02/2022 11:05:09",
"content": "Can someone pls tell me if the answer is 1/2? I'd be happy af",
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"content": "This channel is occupied",
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"timestamp": "12/02/2022 11:20:51",
"content": "@RepliedPencil Has your question been resolved?",
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"timestamp": "12/02/2022 11:35:52",
"content": "Channel closed",
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}
] | help-9 | bc85bd52a27347ae908c9b35c799b50b |
202,002 | [
{
"id": 1048276577919717400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 11:36:52",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1048279768535146600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 11:49:32",
"content": "Pinned a message.",
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{
"id": 1048279784565780500,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:49:36",
"content": "im not sure how to do this",
"attachments": [],
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"reference": null
},
{
"id": 1048279865234817200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 11:49:55",
"content": "do you know the intermediate value theorem?",
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},
{
"id": 1048279909140811900,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:50:06",
"content": "not really",
"attachments": [],
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},
{
"id": 1048279967508734100,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:50:20",
"content": "is there somewhere I can go to learn and see examples",
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},
{
"id": 1048279989130383500,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:50:25",
"content": "I learn better from examples",
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},
{
"id": 1048280126963593300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/02/2022 11:50:58",
"content": "Google \"intermediate value theorem\"",
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},
{
"id": 1048280284048658600,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:51:35",
"content": "ok",
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},
{
"id": 1048280496536309900,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:52:26",
"content": "im gonna try to plug it in thee equation",
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},
{
"id": 1048280725851480200,
"author_id": 728643762821005300,
"author_name": "qqh4",
"timestamp": "12/02/2022 11:53:21",
"content": "is it 0 and 2?",
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},
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"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 11:57:53",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 2bf25125527543e7959321c7af60074b |
202,003 | [
{
"id": 1048282295058047000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 11:59:35",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1048282662265168000,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
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"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 12:01:03",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1048282667227021600,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:01:04",
"content": "how did they get this",
"attachments": [],
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},
{
"id": 1048282749640917000,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:01:23",
"content": "the sa of the box i wanted to know how they got it",
"attachments": [],
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},
{
"id": 1048283214768242800,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:03:14",
"content": "(the top is open)",
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},
{
"id": 1048283309656002700,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:03:37",
"content": "so if you add up the areas of the faces",
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},
{
"id": 1048283536920170600,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:04:31",
"content": "or you could use the formula for surface area",
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},
{
"id": 1048283600354816000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:04:46",
"content": "and subtract the surface area of the top from what you get",
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},
{
"id": 1048283650065715300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:04:58",
"content": "there is 5 faces",
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},
{
"id": 1048283652498403500,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:04:58",
"content": "tho",
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},
{
"id": 1048283670408085500,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:05:03",
"content": "yes",
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},
{
"id": 1048283888365080600,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:05:55",
"content": "so",
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},
{
"id": 1048283905498808400,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:05:59",
"content": "l is my x?",
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},
{
"id": 1048283919486816300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:06:02",
"content": "b is also my x",
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},
{
"id": 1048283934485663700,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:06:06",
"content": "or",
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},
{
"id": 1048283938528952300,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:06:07",
"content": "yes",
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},
{
"id": 1048283967838757000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:06:14",
"content": "h is y",
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},
{
"id": 1048284034075214000,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:06:29",
"content": "ok so how do we get",
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},
{
"id": 1048284041943732200,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:06:31",
"content": "thje equation",
"attachments": [],
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},
{
"id": 1048284052353982500,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:06:34",
"content": "that they got",
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},
{
"id": 1048284095987339300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:06:44",
"content": "why isnt it just 5xy",
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},
{
"id": 1048284110117941200,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:06:48",
"content": "for the 5 faces",
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},
{
"id": 1048284183564398700,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:05",
"content": "oh nvm the height is not at the bottom",
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},
{
"id": 1048284263616880800,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:24",
"content": "ok so lets say",
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},
{
"id": 1048284277189652500,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:27",
"content": "there wasl all sides",
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},
{
"id": 1048284286261940200,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:30",
"content": "there was a top",
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},
{
"id": 1048284297397809300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:32",
"content": "so would it be",
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},
{
"id": 1048284311335489700,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:36",
"content": "2x^2+4xy?",
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},
{
"id": 1048284327869415400,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/02/2022 12:07:39",
"content": "yes",
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},
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"id": 1048284340527837300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:07:42",
"content": "ah ok",
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},
{
"id": 1048284895019016300,
"author_id": 1023853486783336400,
"author_name": "Hoesmad",
"timestamp": "12/02/2022 12:09:55",
"content": ".close",
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},
{
"id": 1048284897640464500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 12:09:55",
"content": "Channel closed",
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}
] | help-9 | c28b8eb6a6c54803960adcad33b2948b |
202,004 | [
{
"id": 1048285196883079300,
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"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 12:11:07",
"content": "Available help channel!",
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},
{
"id": 1048287528597323900,
"author_id": 926774291985481700,
"author_name": "Nov",
"timestamp": "12/02/2022 12:20:23",
"content": "To get the speed of both cars would it be okay to just devide km/hr?",
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"timestamp": "12/02/2022 12:20:23",
"content": "Pinned a message.",
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{
"id": 1048287705886359700,
"author_id": 786836941672546300,
"author_name": "literaturemonke",
"timestamp": "12/02/2022 12:21:05",
"content": "im feeling so much pain rn",
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"reference": null
},
{
"id": 1048287716179198000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/02/2022 12:21:07",
"content": "Find how many km each car can travel in 1 hr",
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"reference": null
},
{
"id": 1048287728665637000,
"author_id": 786836941672546300,
"author_name": "literaturemonke",
"timestamp": "12/02/2022 12:21:10",
"content": "am i having a stroke?",
"attachments": [],
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"reference": null
},
{
"id": 1048287784940601500,
"author_id": 926774291985481700,
"author_name": "Nov",
"timestamp": "12/02/2022 12:21:24",
"content": "Alright",
"attachments": [],
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"reference": null
},
{
"id": 1048287799989768300,
"author_id": 926774291985481700,
"author_name": "Nov",
"timestamp": "12/02/2022 12:21:27",
"content": "No shortcuts then",
"attachments": [],
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},
{
"id": 1048287919154139100,
"author_id": 786836941672546300,
"author_name": "literaturemonke",
"timestamp": "12/02/2022 12:21:56",
"content": "i mean is this ques supposed to be a troll?",
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"id": 1048287971390001200,
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"author_name": "Nov",
"timestamp": "12/02/2022 12:22:08",
"content": "Stop being rude LMAO",
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] | help-9 | bc97b4cc92c04bc3b8fa6ba18081b704 |
202,005 | [
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"id": 1048288221437628500,
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] | help-9 | 6ec07bbb0d8a4d41bc20f305d1afc5b1 |
202,006 | [
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] | help-9 | c519902174804f0c9bee832732901df5 |
202,007 | [
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] | help-9 | a41513b0b8ff4f7ea215f5d36538b6fc |
202,008 | [
{
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{
"id": 1048292459601465500,
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"content": "will it be - 9 x because you took nine x towards the another side of equals to",
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"timestamp": "12/02/2022 12:42:21",
"content": "im loosing my mind so it should be positive nine x idon’t seem to figure it out",
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"id": 1048293133978448000,
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"id": 1048293194376417300,
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"timestamp": "12/02/2022 12:42:53",
"content": "oh no that’s my bad",
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"id": 1048293241780453400,
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"content": "i actually mixed it with eleven x",
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"content": "you should keep the 9 in the LHS and just bring 11x to the LHS",
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"timestamp": "12/02/2022 12:43:20",
"content": "so like nine shouldn’t be -ve",
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"content": "oh i got it",
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"content": "thanks",
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] | help-9 | 7e79c25caf4648019df77c4969e95016 |
202,009 | [
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"content": "are you aware of how trig ratios of complementary angles are related?",
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"id": 1048296776039399600,
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"timestamp": "12/02/2022 12:57:35",
"content": "so, sin(x)=cos(90-x)",
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"id": 1048296930570158200,
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"content": "are you aware of that?",
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"content": "no im not",
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"content": "how is that so?",
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"timestamp": "12/02/2022 13:02:32",
"content": "holy cow",
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"content": "the answer is 4/5 then",
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"timestamp": "12/02/2022 13:07:12",
"content": "Yes lol",
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"id": 1048299369138507800,
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"timestamp": "12/02/2022 13:07:26",
"content": "And look at the heaven and hell you moved for that",
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"id": 1048299623325904900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/02/2022 13:08:26",
"content": "Well tbf the working that was sent is one way of proving that identity",
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"timestamp": "12/02/2022 13:08:32",
"content": "Atleast for acute angles",
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"timestamp": "12/02/2022 13:20:01",
"content": "@McMeny Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | ff354c0d83414bb290f496c8598553c2 |
202,010 | [
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"id": 1048304624974700700,
"author_id": 167917426388762620,
"author_name": "artify",
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"content": "I need some help with rotating a jet around its axis",
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"content": "There is a torque applied by the lift force (N)",
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"author_name": "artify",
"timestamp": "12/02/2022 13:29:14",
"content": "6.05m from the center of gravity. We assume the center of gravity is in the middle of an aircraft with length 14.1m",
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"author_name": "artify",
"timestamp": "12/02/2022 13:30:14",
"content": "6.05m from the center there is an airfoil (or just a wing flap, whatever) that produces that lift force. Which equations are going to be utilized to simulate its rotation",
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"author_name": "Benjamin",
"timestamp": "12/02/2022 13:32:30",
"content": "https://discord.gg/physics just in case",
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"author_id": 466813967348531200,
"author_name": "cake.",
"timestamp": "12/02/2022 13:35:09",
"content": "To simulate the rotation of the jet due to the lift force, you will need to use the equation for angular momentum, which is:\n\nL = Iα\n\nWhere L is the angular momentum, I is the moment of inertia and α is the angular acceleration. \n\nIn order to calculate the angular momentum you need to first calculate the moment of inertia. For a jet with a length of 14.1m you can use the following equation:\n\nI = (1/12)mL2\n\nwhere m is the mass of the jet and L is the length of the jet. \n\nOnce you have calculated the moment of inertia you can then calculate the angular momentum using the above equation. \n\nOnce you have the angular momentum, you can then calculate the angular acceleration using the following equation:\n\nα = L/I\n\nThis will give you the angular acceleration which is what is needed to simulate the rotation of the jet due to the lift force.",
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"author_name": "artify",
"timestamp": "12/02/2022 13:38:54",
"content": "@cake. is it 1/12 or 1/2?",
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"content": "1/12",
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"timestamp": "12/02/2022 13:40:42",
"content": "okay, thansk",
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"timestamp": "12/02/2022 13:50:16",
"content": "@cake. I have one problem, i calculated the moment of inertia and im supposed to calculate the angular momentum using L = Iα, but angular acceleration still remains unknown or am i missing something",
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"author_name": "cake.",
"timestamp": "12/02/2022 13:54:38",
"content": "bruh",
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"id": 1048311463472804000,
"author_id": 167917426388762620,
"author_name": "artify",
"timestamp": "12/02/2022 13:55:29",
"content": "Im sorry, its a long day for me, where am i wrong in my thinking",
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"id": 1048311621434474500,
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"author_name": "cake.",
"timestamp": "12/02/2022 13:56:07",
"content": "no, no i sent something wrong earlier(now deleted), hence the “bruh”",
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"timestamp": "12/02/2022 13:56:13",
"content": "hold on",
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"timestamp": "12/02/2022 13:56:29",
"content": "I = (1/12)mL2 also here isn't L supposed to be r (radius, which i suppose would be the center of gravity to the point of applying the torque)?",
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"timestamp": "12/02/2022 14:02:16",
"content": "i may not be able to help you here, its better to ask the guys in the physics discord",
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"timestamp": "12/02/2022 14:11:29",
"content": "@artify Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 822d02128bc74de98d3a7c35c250a247 |
202,011 | [
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"timestamp": "12/02/2022 14:27:00",
"content": "What grade are you?",
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"content": "precalc 2",
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"content": "university",
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"author_name": "John Himothy",
"timestamp": "12/02/2022 14:32:54",
"content": "i need to find all solutions",
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"timestamp": "12/02/2022 14:32:59",
"content": "this is what i have gotten to",
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"content": "i figure there is an easier way to manipulate the identities",
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"timestamp": "12/02/2022 14:48:10",
"content": "@John Himothy Has your question been resolved?",
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] | help-9 | c09b28cebab54c2c884e5cb718aaa20b |
202,012 | [
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"content": "Available help channel!",
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"id": 1048329291030593700,
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"content": "no",
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"author_name": "Mortta",
"timestamp": "12/02/2022 15:08:30",
"content": "love the question",
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"id": 1048330011108704400,
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/02/2022 15:09:11",
"content": "That's what she said",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/02/2022 15:09:16",
"content": "🥲",
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"id": 1048330051244015600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/02/2022 15:09:21",
"content": "ong dude",
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"timestamp": "12/02/2022 15:09:23",
"content": "i miss her :(",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/02/2022 15:09:37",
"content": "Me too",
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"timestamp": "12/02/2022 15:10:40",
"content": "me too",
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"timestamp": "12/02/2022 15:10:57",
"content": "how do i begin",
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"id": 1048330616342585500,
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"timestamp": "12/02/2022 15:11:35",
"content": "pi",
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"id": 1048330621874872300,
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"timestamp": "12/02/2022 15:11:37",
"content": "is one answer",
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"author_name": "Ann",
"timestamp": "12/02/2022 15:12:23",
"content": "pi ≠ 90°, arnab.",
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"id": 1048330845490008000,
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"timestamp": "12/02/2022 15:12:30",
"content": "pi = 180",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/02/2022 15:12:33",
"content": "Oh",
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"timestamp": "12/02/2022 15:12:42",
"content": "also like",
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"id": 1048330919842435200,
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"author_name": "Ann",
"timestamp": "12/02/2022 15:12:48",
"content": "consider not giving bullshit answers.",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/02/2022 15:12:49",
"content": "Sorry",
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"id": 1048330953430413300,
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"author_name": "Ann",
"timestamp": "12/02/2022 15:12:56",
"content": "what you said has more wrong than right",
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"id": 1048330955632423000,
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"timestamp": "12/02/2022 15:12:56",
"content": "how is it bullshit answers?",
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"timestamp": "12/02/2022 15:13:06",
"content": "he was just mistaken calm down",
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"id": 1048331428292743200,
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"timestamp": "12/02/2022 15:14:49",
"content": "still kind of bad.",
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"author_name": "Ann",
"timestamp": "12/02/2022 15:15:18",
"content": "if you were gonna give suggestions, you would've done better to suggest factorizing the equation as $\\tan(x)(\\tan^4(x) - 1) = 0$",
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"content": "**Ann**",
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"timestamp": "12/02/2022 15:16:29",
"content": "i appreciate the help but i dont just want to be given the answer",
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"content": "trying to get good at this",
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] | help-9 | f665d5f662254ae2a52b8aaf88049d50 |
202,013 | [
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"content": "when graphing a quadradic equation (-x^2+x+50) the 50 is the y intercept but can you control the 'x' intercept in the same equation?",
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"timestamp": "12/02/2022 15:30:10",
"content": "basically how do I widen the curve?",
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"timestamp": "12/02/2022 15:32:47",
"content": "and yes I haven't done adv math in a while",
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"timestamp": "12/02/2022 15:37:31",
"content": "Something like this",
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"timestamp": "12/02/2022 15:50:07",
"content": "To find the x-intercept, you need to *complete the square* so you can solve for *x*.",
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"timestamp": "12/02/2022 15:55:07",
"content": "@ButtonDownBobby Has your question been resolved?",
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] | help-9 | 1a8cffa20d8342fc901a26d355e0b634 |
202,014 | [
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"timestamp": "12/02/2022 16:20:26",
"content": "Available help channel!",
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"timestamp": "12/02/2022 16:23:15",
"content": "hello how can i prove this is a 1d-manifold?",
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"timestamp": "12/02/2022 16:23:16",
"content": "Pinned a message.",
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"author_id": 329277854187520000,
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"timestamp": "12/02/2022 16:25:51",
"content": "have you seen the constant rank theorem?",
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"timestamp": "12/02/2022 16:28:40",
"content": "no",
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"id": 1048350106216304600,
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"author_name": "Espio",
"timestamp": "12/02/2022 16:29:02",
"content": "how do you usually check that something is a manifold?",
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"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "12/02/2022 16:29:31",
"content": "here i thought that at -2 or 2 the equations both yield 0",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 16:29:56",
"content": "this is my first time checking something is a manifold",
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"timestamp": "12/02/2022 16:30:36",
"content": "and that manifolds cant overlap?",
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"author_name": "Espio",
"timestamp": "12/02/2022 16:31:14",
"content": "when you have a function that acts as a parametrization for the set, you can say that its a manifold if the differential of the function is of constant rank around each point of the set",
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"timestamp": "12/02/2022 16:32:14",
"content": "-2 doesn't yield 0, (-2)^3 -4(-2) = -16",
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"timestamp": "12/02/2022 16:34:57",
"content": "-8+8 = 0?",
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"id": 1048351749662056600,
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"author_name": "Espio",
"timestamp": "12/02/2022 16:35:34",
"content": "yep",
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"author_name": "Espio",
"timestamp": "12/02/2022 16:35:35",
"content": "my bad",
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"id": 1048351771334021100,
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"author_name": "Espio",
"timestamp": "12/02/2022 16:35:39",
"content": "sorry",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 16:36:15",
"content": "but this doesnt make sense here because its just one line right?",
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"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 16:37:23",
"content": "thats strange",
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"author_name": "Espio",
"timestamp": "12/02/2022 16:37:35",
"content": "I don't think I know enough manifolds to know what's going on here",
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"timestamp": "12/02/2022 16:38:12",
"content": "Im confused",
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"author_name": "Espio",
"timestamp": "12/02/2022 16:38:56",
"content": "it seems to be a manifold by the fact that its differential is of rank 1 at each point",
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"id": 1048352644336468100,
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"author_name": "Espio",
"timestamp": "12/02/2022 16:39:07",
"content": "but it self intersects",
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"id": 1048352770845065200,
"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 16:39:38",
"content": "you said that manifolds can't overlap?",
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"author_id": 896755250092998800,
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"timestamp": "12/02/2022 16:39:54",
"content": "yes",
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"id": 1048353578403778600,
"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 16:42:50",
"content": "I don't think thats true?",
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"id": 1048353617255600300,
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"author_name": "Espio",
"timestamp": "12/02/2022 16:42:59",
"content": "where did you get that?",
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"timestamp": "12/02/2022 16:43:07",
"content": "its obvious no?",
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"timestamp": "12/02/2022 16:43:35",
"content": "yeah I think its true",
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"author_name": "Espio",
"timestamp": "12/02/2022 16:43:47",
"content": "don't know about obvious",
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"id": 1048354727190085800,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "12/02/2022 16:47:24",
"content": "so can my argumentation be correct?",
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"id": 1048354798879113300,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "12/02/2022 16:47:41",
"content": "or not because it's just a single curve?",
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"id": 1048355332214235300,
"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 16:49:48",
"content": "what do you mean just a single curve?",
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"timestamp": "12/02/2022 16:50:38",
"content": "well im not sure either",
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"timestamp": "12/02/2022 16:51:14",
"content": "but when graphing this seems just like a single line",
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"id": 1048355763652927500,
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"timestamp": "12/02/2022 16:51:31",
"content": "yeah",
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"id": 1048355801158394000,
"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 16:51:40",
"content": "but it does self intersect, it shouldn't do that",
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"id": 1048355849023791200,
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"author_name": "b3s4d",
"timestamp": "12/02/2022 16:51:51",
"content": "when talking about overlapping i think about this",
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"timestamp": "12/02/2022 16:52:04",
"content": "yes",
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"timestamp": "12/02/2022 16:52:24",
"content": "oh okay so thats the solution then?",
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"timestamp": "12/02/2022 16:52:53",
"content": "I thought you knew it was a manifold and were trying to prove it?",
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"id": 1048356140314001500,
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"author_name": "Espio",
"timestamp": "12/02/2022 16:53:01",
"content": "or is it maybe just not a manifold?",
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"timestamp": "12/02/2022 16:53:23",
"content": "no its uncertain",
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"timestamp": "12/02/2022 16:54:10",
"content": "sorry I should've elaborated more on the assignment",
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"id": 1048356462709190700,
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"timestamp": "12/02/2022 16:54:18",
"content": "no worries",
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"author_name": "Espio",
"timestamp": "12/02/2022 16:54:34",
"content": "ok so then the fact that it intersects is enough to say that it isn't a manifold",
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"timestamp": "12/02/2022 16:55:38",
"content": "if you want to prove it, you have to essentially say that if you consider the point where it intersects, then for any neighborhood of that point, the neighborhood intersected with the manifold can't be homeomorphic to an open in R",
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"timestamp": "12/02/2022 16:55:56",
"content": "i see",
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"timestamp": "12/02/2022 16:56:03",
"content": "how did you define manifolds?",
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"timestamp": "12/02/2022 16:57:04",
"content": "hmm",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 16:59:40",
"content": "A 1-manifold is a curve through space. Due to the differentiability conditions this curve is smooth (in the descriptive sense): There are no corners, i.e. no abrupt directional changes or even reversals occur during the traversal of the curve. It is also impossible that one part of the curve crosses another or that its end touches a front section laterally or the like. After all, every point of the curve must have a neighbourhood in R3 in such a way that the curve stub can be \"straightened\".",
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"timestamp": "12/02/2022 17:00:15",
"content": "right, okay",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:00:36",
"content": "then yeah, you definitely don't need to argue with topological arguments",
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"id": 1048358236174176300,
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"timestamp": "12/02/2022 17:01:21",
"content": "but if the curve crosses itself, then you can see that there is no way to \"straighten\" the curve around the intersection into just one line",
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"timestamp": "12/02/2022 17:02:49",
"content": "is it difficult to argue like that?",
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"timestamp": "12/02/2022 17:03:39",
"content": "i guess mine isnt mathematically correct?",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:04:12",
"content": "well we saw manifolds in our differential geometry class this semester, but I think going off of the way you defined 1-manifolds in your class, you don't have the mathematical tools to be much more rigorous",
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"timestamp": "12/02/2022 17:04:47",
"content": "ah ok",
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"timestamp": "12/02/2022 17:04:55",
"content": "its still correct. It's less rigorous for sure, but that's not necessarily a bad thing",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 17:05:30",
"content": "and for this?",
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"timestamp": "12/02/2022 17:06:08",
"content": "well we saw that the problem was when t = -2 and 2, thats where it intersects itself",
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"timestamp": "12/02/2022 17:06:46",
"content": "But that doesn't automatically mean this is a manifold now",
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"id": 1048359699189338100,
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"timestamp": "12/02/2022 17:07:09",
"content": "that's true",
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"id": 1048359833369325600,
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"timestamp": "12/02/2022 17:07:41",
"content": "so are you meant to sketch it to find the solution?",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 17:08:22",
"content": "ummm",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:08:22",
"content": "I'm not sure I really know how much is expected of you",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 17:08:41",
"content": "the assignment just says \"Decide whether C is a 1-manifold\"",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:09:31",
"content": "well if you draw c(t) for t between -1 and 1, you should see that according to your definition, it looks like a curve that you can straighten out",
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"timestamp": "12/02/2022 17:10:13",
"content": "lmao",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:10:33",
"content": "do you think thats enough justification?",
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"timestamp": "12/02/2022 17:10:56",
"content": "no",
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"timestamp": "12/02/2022 17:11:11",
"content": "hold on",
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"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 17:11:14",
"content": "what kind of mathematical tools are you using to describe manifolds?",
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"author_id": 329277854187520000,
"author_name": "Espio",
"timestamp": "12/02/2022 17:11:22",
"content": "like have you seen diffeomorphisms?",
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"timestamp": "12/02/2022 17:14:07",
"content": "Let M ⊆ R^n be an m-manifold. Then there are open sets Pι ⊆ R^m, ι ∈ I, and for each ι ∈ I a smooth mapping pι : Pι → R^n with the following properties:\n(M1) For every a ∈ M there is an open neighborhood U ⊆ R^n of a and an ι such that M ∩ U is the image of pι and by pι a homeomorphism is established between Pι and M ∩ U.\n(M2) For any ι ∈ I and v ∈ Pι (Dpι)v, the Jacobian matrix of pι at the point v, is injective.",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:15:32",
"content": "is that the definition you need to use?",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 17:16:01",
"content": "Im looking at definitions in our book",
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"timestamp": "12/02/2022 17:17:45",
"content": "I guess I could prove for D with M1 and M2?",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:19:28",
"content": "maybe you could? but it doesn't look fun",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:19:46",
"content": "have you seen any theorems about when you can say that something is a manifold?",
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"timestamp": "12/02/2022 17:20:05",
"content": "im trying to find anything useful in my book",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 17:20:52",
"content": "you said something about constant rank theorem",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:20:53",
"content": "whats strange to me is that you have a very intuitive geometric definition of manifolds, and then an abstract rigorous topological definition",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:21:07",
"content": "and I don't know which one is the one you normally use",
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"timestamp": "12/02/2022 17:21:24",
"content": "the topological definitions usually",
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"timestamp": "12/02/2022 17:21:40",
"content": "the constant rank theorem has corollaries that let you say if something is a manifold",
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"timestamp": "12/02/2022 17:23:55",
"content": "I was trying to use one that said that if you have a function f from an open U of R^m into R^n that is C^k and of constant rank, then for every point in U, there is a neighborhood V of that point such that f(V) is a manifold",
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"timestamp": "12/02/2022 17:24:51",
"content": "so here, c fits the criteria, so you can say that for every t between -3 and 3, you can find an interval around it such that the image by c of that interval is a manifold",
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"timestamp": "12/02/2022 17:25:29",
"content": "unfortunately, that only gives us manifolds locally around each c(t), not that the image of the whole interval (-3;3) by c is a manifold",
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"timestamp": "12/02/2022 17:30:58",
"content": "i kind of see",
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"timestamp": "12/02/2022 17:30:59",
"content": "but not really",
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"timestamp": "12/02/2022 17:31:19",
"content": "if i prove every subinterval is a manifold then the whole interval is a manifold is it meant like that?",
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"timestamp": "12/02/2022 17:31:38",
"content": "no, thats the thing",
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"timestamp": "12/02/2022 17:32:04",
"content": "we know that locally around each t its a manifold",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:32:21",
"content": "but the whole thing isn't a manifold (when t goes from -3 to 3)",
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"timestamp": "12/02/2022 17:32:52",
"content": "thats why I was very confused earlier, I thought the theorem said that the image of the whole interval was a manifold, but thats not true",
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"timestamp": "12/02/2022 17:33:47",
"content": "oh ok",
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"timestamp": "12/02/2022 17:35:20",
"content": "i dont really know how to prove this tbh",
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"timestamp": "12/02/2022 17:35:33",
"content": "yeah, seems quite hard",
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"timestamp": "12/02/2022 17:36:18",
"content": "maybe you do have to use the definition and try to find open sets and the smooth mappings and all",
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"timestamp": "12/02/2022 17:41:41",
"content": "Ok I'll try that",
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"author_name": "b3s4d",
"timestamp": "12/02/2022 17:42:09",
"content": "But the justification for 1) should be \"mathematically correct enough\" with the counterexample",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:42:46",
"content": "have you done much topology?",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:43:03",
"content": "like do you know what a homeomorphism is?",
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"timestamp": "12/02/2022 17:43:08",
"content": "of course",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:43:48",
"content": "then you should be able to prove that the a neighborhood of 0 intersected with the curve can't be homeomorphic to an interval in R^n",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:44:07",
"content": "most rigorously than just \"clearly can't be straightened out\"",
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"timestamp": "12/02/2022 17:44:23",
"content": "hmm",
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"timestamp": "12/02/2022 17:44:34",
"content": "so by bijective is my guess?",
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"timestamp": "12/02/2022 17:45:00",
"content": "you can have something that'll be bijective",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:45:15",
"content": "but it wouldn't then also be continuous with a continuous inverse",
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"timestamp": "12/02/2022 17:45:23",
"content": "there's a very useful trick",
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"timestamp": "12/02/2022 17:45:45",
"content": "which often comes up when you want to show that something is not a manifold",
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"timestamp": "12/02/2022 17:46:45",
"content": "if f is a homeomorphism from X to Y, then if A is a subset of X, then f restricted to A is a homeomorphism between A and f(A)",
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"timestamp": "12/02/2022 17:46:58",
"content": "there might be an extra condition on A",
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"timestamp": "12/02/2022 17:48:18",
"content": "nope, no conditions",
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"timestamp": "12/02/2022 17:50:57",
"content": "so if you have an open U around 0, you can consider the subset U\\\\{0} intersected with C, then if you had a homeomorphism between U inter C and some open interval in R, then you would have a homeomorphism between U\\\\{0} inter C and an open interval minus a point in R",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:51:45",
"content": "since f(U\\\\{0} inter C) is the open interval in R but you remove the image of 0 by f",
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"author_name": "Espio",
"timestamp": "12/02/2022 17:52:24",
"content": "and then you reason in terms of connected components: U\\\\{0} inter C has 4 connected components, an open interval minus a point has 2",
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"timestamp": "12/02/2022 17:52:51",
"content": "since homeomorphisms induce bijections between connected components, you know that f can't be a homeomorphism",
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"timestamp": "12/02/2022 17:59:34",
"content": "@b3s4d Has your question been resolved?",
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"timestamp": "12/02/2022 18:00:12",
"content": "Okay thank you I'll try to understand this and prove the second one with this",
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"content": ".close",
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] | help-9 | 7db37c563d4d48b9b91d179eca2f669f |
202,015 | [
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"content": "That is related to the unit circle. 1 / sqrt(2) is also equal to sqrt(2) / 2",
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202,016 | [
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] | help-9 | b460d4d165024b908646d1cf1da1e8ad |
202,017 | [
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] | help-9 | 97812d45cd114973a41ea7ee4eab31ec |
202,018 | [
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"content": "So 1 and 3",
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"content": "exactly",
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"content": "$\\frac{6}{6} = 1$",
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"timestamp": "12/02/2022 21:18:13",
"content": "**Gijs**",
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"timestamp": "12/02/2022 21:18:28",
"content": "yes I get that, but not the 3",
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"timestamp": "12/02/2022 21:18:38",
"content": "its a plus minus symbol",
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"timestamp": "12/02/2022 21:18:50",
"content": "indicating that one solution is 2 + 1 and the other 2 - 1",
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"timestamp": "12/02/2022 21:19:03",
"content": "is 6 not simplified into 12?",
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"id": 1048423129271255000,
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"timestamp": "12/02/2022 21:19:12",
"content": "?",
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"timestamp": "12/02/2022 21:19:25",
"content": "there is no multiplication",
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"timestamp": "12/02/2022 21:19:30",
"content": "Like 12/12?",
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"timestamp": "12/02/2022 21:19:50",
"content": "the top line of the photo, I thought you can simplify by 6",
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"content": "by dividing",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:20:12",
"content": "Wdym 'simplify by 6?",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:20:21",
"content": "Take 6 common?",
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"timestamp": "12/02/2022 21:20:27",
"content": "yes",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:20:47",
"content": "Take -6/6 common",
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"id": 1048423705971278000,
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:21:30",
"content": "uhh what exactly happens after this",
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"content": "U can take -6/6 common",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:22:09",
"content": "-6/6 (-2±1)",
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"id": 1048423913782259800,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:22:19",
"content": "-1(-2±1",
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"id": 1048423943528267900,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:22:26",
"content": "Wait wait",
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"id": 1048423978965926000,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:22:35",
"content": "this is quadratic Formula btw",
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"id": 1048424025208139800,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:22:46",
"content": "one of the final steps",
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"id": 1048424039716237300,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:22:49",
"content": "I know",
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"author_name": "heavy",
"timestamp": "12/02/2022 21:23:13",
"content": "just work out the fraction",
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"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:23:20",
"content": "In the image?",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:24:04",
"content": "Same thing",
"attachments": [],
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"id": 1048424386983632900,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:24:12",
"content": "I'm working with A -3 B 12 C -9",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/02/2022 21:24:29",
"content": "Yea what don't u understand",
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"id": 1048424515283193900,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:24:43",
"content": "the steps after that point lol",
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"id": 1048424699224412300,
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:25:27",
"content": "one of the answer is supposely 3 which I don't get",
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"id": 1048424749950320600,
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"timestamp": "12/02/2022 21:25:39",
"content": "1 and 3",
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},
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"id": 1048424858196906100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/02/2022 21:26:04",
"content": "you might want to sleep on it",
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},
{
"id": 1048424911980466300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/02/2022 21:26:17",
"content": "probably overthinkng it",
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},
{
"id": 1048425101995028600,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:27:03",
"content": "Do I simplify the entire thing by 6",
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"id": 1048425201840427100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/02/2022 21:27:26",
"content": "just do the arithmetic",
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"id": 1048425255699480600,
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:27:39",
"content": "?",
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"id": 1048425276901699600,
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"author_name": "heavy",
"timestamp": "12/02/2022 21:27:44",
"content": "this",
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"id": 1048425294744277000,
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"author_name": "heavy",
"timestamp": "12/02/2022 21:27:49",
"content": "this is all you need",
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{
"id": 1048425332614647900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/02/2022 21:27:58",
"content": "just divide",
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"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:28:27",
"content": "12 divide into -6 and 6 into -6 ?",
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"id": 1048425515402408000,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:28:41",
"content": "but then I get 2 instead of 3",
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{
"id": 1048425563460747400,
"author_id": 807475848714256400,
"author_name": "The golden fish",
"timestamp": "12/02/2022 21:28:53",
"content": "Hi",
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},
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"id": 1048425620314529800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/02/2022 21:29:06",
"content": "bro its $2 \\pm 1$",
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"timestamp": "12/02/2022 21:29:09",
"content": "**Gijs**",
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"timestamp": "12/02/2022 21:29:14",
"content": "All the Quadratic Formula calculators is saying x= 3 and 1",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:29:20",
"content": "separate the fractions into -12/-6 + 6/-6",
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"author_name": "heavy",
"timestamp": "12/02/2022 21:29:22",
"content": "and they are right",
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"timestamp": "12/02/2022 21:29:34",
"content": "and -12/-6 - 6/-6",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:29:51",
"content": "then work them out",
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:30:20",
"content": "where does the 3 come from?",
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"author_name": "heavy",
"timestamp": "12/02/2022 21:31:06",
"content": "are you trolling",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:32:11",
"content": "look at the second one",
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"timestamp": "12/02/2022 21:32:15",
"content": "this",
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:32:19",
"content": "okay it looks like you added them but why is there two answers",
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"timestamp": "12/02/2022 21:32:25",
"content": "-12/-6 simplifies to 2",
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"timestamp": "12/02/2022 21:32:31",
"content": "thats how quadratic works",
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"timestamp": "12/02/2022 21:32:36",
"content": "there are two answerd",
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"timestamp": "12/02/2022 21:32:53",
"content": "yes but adding them gets you one answer",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:33:06",
"content": "and adding the other one gives you another answer",
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"timestamp": "12/02/2022 21:34:41",
"content": "",
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"timestamp": "12/02/2022 21:34:43",
"content": "see if you can understand",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:34:58",
"content": "when you get a plus minus",
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"timestamp": "12/02/2022 21:35:01",
"content": "at the end",
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"timestamp": "12/02/2022 21:35:09",
"content": "you separate it into plus and minus",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:35:16",
"content": "to get the two equations",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:35:30",
"content": "and then you calculate them separately",
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"timestamp": "12/02/2022 21:35:53",
"content": "thanks that's exactly what I was stuck on",
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"timestamp": "12/02/2022 21:36:02",
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:36:26",
"content": "so I just have to make two equations, one adding and the other subtracting",
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"timestamp": "12/02/2022 21:36:33",
"content": "yes correct",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:36:37",
"content": "like the exact same thing",
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"author_name": "The golden fish",
"timestamp": "12/02/2022 21:36:44",
"content": "but just replace the plus minus",
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"timestamp": "12/02/2022 21:36:46",
"content": "with plus",
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},
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"id": 1048427564974223500,
"author_id": 807475848714256400,
"author_name": "The golden fish",
"timestamp": "12/02/2022 21:36:50",
"content": "and the other one with minus",
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"author_id": 807475848714256400,
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"timestamp": "12/02/2022 21:36:56",
"content": "to get two different equations",
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"author_id": 807475848714256400,
"author_name": "The golden fish",
"timestamp": "12/02/2022 21:37:02",
"content": "thus giving you two different answers",
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"id": 1048427627519676400,
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:37:05",
"content": "got it",
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"author_name": "RazorBz",
"timestamp": "12/02/2022 21:37:08",
"content": "Thanks!",
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},
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"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/02/2022 21:37:18",
"content": ".close",
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{
"id": 1048427688634884200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 21:37:19",
"content": "Channel closed",
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}
] | help-9 | 0f9d475a3512433c97d385732e739352 |
202,019 | [
{
"id": 1048427690878836700,
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"timestamp": "12/02/2022 21:37:20",
"content": "yw",
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"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 21:38:19",
"content": "Available help channel!",
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},
{
"id": 1048431988324970500,
"author_id": 165569034086121470,
"author_name": "Devin",
"timestamp": "12/02/2022 21:54:24",
"content": "a rectangle that is also a rhombus is a square true or false\nit's false because a rectangle does not have four congruent sides as a rhombus, right?",
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"id": 1048431990191435800,
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"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 21:54:25",
"content": "Pinned a message.",
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"id": 1048432910295912600,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "12/02/2022 21:58:04",
"content": "No, a rectangle may or may not have four congruent sides",
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"id": 1048432996677582800,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "12/02/2022 21:58:25",
"content": "That is, a rectangle can have four congruent sides",
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"id": 1048433081637412900,
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"author_name": "Bear Bear",
"timestamp": "12/02/2022 21:58:45",
"content": "And that is what the question states",
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"id": 1048434266175971300,
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"author_name": "Devin",
"timestamp": "12/02/2022 22:03:28",
"content": "ah, thanks. i think i misunderstood the wording. a rectangle with properties of a rhombus is a square, in other words, a square is both a rect. and rhombus",
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"timestamp": "12/02/2022 22:18:28",
"content": "@Devin Has your question been resolved?",
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"timestamp": "12/02/2022 22:33:28",
"content": "Channel closed",
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}
] | help-9 | c0d22df07797489caf4019f67ff96ac8 |
202,020 | [
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"id": 1048448641200828400,
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"timestamp": "12/02/2022 23:00:35",
"content": "Available help channel!",
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"id": 1048452301012074600,
"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:15:07",
"content": "how do i solve something like this?",
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"timestamp": "12/02/2022 23:15:08",
"content": "Pinned a message.",
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"id": 1048453861624533000,
"author_id": 406145730844164100,
"author_name": "NoahN",
"timestamp": "12/02/2022 23:21:19",
"content": "Here's a tip, on the numerator you can change the bases of the exponents to base 2. You will then have the following expression $\\frac{2^{3x^2}2^{4y^2}-1}{3x^2+4y^2}$",
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"timestamp": "12/02/2022 23:21:23",
"content": "**NoahN**",
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:22:17",
"content": "Then you will have $\\frac{2^{3x^2+4y^2}-1}{3x^2+4y^2}$",
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"id": 1048454110791356500,
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"timestamp": "12/02/2022 23:22:19",
"content": "**NoahN**",
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:23:36",
"content": "yea i understand so far",
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"id": 1048454476182343800,
"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:23:46",
"content": "how can i continue from there?",
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"id": 1048454584928055300,
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:24:12",
"content": "do i say like x^2 = t and y^2 = t etc? i remember seeing something like that",
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"id": 1048455085652463600,
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:26:11",
"content": "Theres a rule for 0/0 limits have you learned it yet",
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"id": 1048455173950939100,
"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:26:32",
"content": "taking derivative?",
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"id": 1048455194570137600,
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:26:37",
"content": "Yea",
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"id": 1048455222781022200,
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"timestamp": "12/02/2022 23:26:44",
"content": "of top and bottom",
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"id": 1048455339164577900,
"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:27:12",
"content": "so i take derivative for x and then i take derivative for y?",
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"id": 1048455367803273200,
"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:27:19",
"content": "and see if they are same?",
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"id": 1048455959472779300,
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:29:40",
"content": "No you will need to do the change of variable thing",
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"id": 1048455994642014300,
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"timestamp": "12/02/2022 23:29:48",
"content": "with t or whatever variable",
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"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:30:54",
"content": "oh i see",
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:31:47",
"content": "a friend of mine did something like x equals to",
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:32:00",
"content": "and y for 1/2rsin(teta)",
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"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:32:16",
"content": "but i dont get where these came from",
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"timestamp": "12/02/2022 23:33:45",
"content": "Your friend is using the polar coordinate system that should work, except it will change the values of the limit",
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:37:46",
"content": "I think theres a better solution sorry you were right before the other way is weird. I think you want to set x to zero and then take the derivative with respect to y, then set y to zero and take the derivative with respect to x",
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"timestamp": "12/02/2022 23:38:24",
"content": "You can then use L'hospitals rule and get each limit",
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:40:39",
"content": "alright i see",
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"timestamp": "12/02/2022 23:40:43",
"content": "i will try that",
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:40:46",
"content": "thank you!!",
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"author_id": 406145730844164100,
"author_name": "NoahN",
"timestamp": "12/02/2022 23:41:27",
"content": "No problem, this question is a little weird as they are using a base of 2 so remember to do ln(2) out front",
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"timestamp": "12/02/2022 23:42:02",
"content": "wdym",
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"author_id": 406145730844164100,
"author_name": "NoahN",
"timestamp": "12/02/2022 23:43:00",
"content": "when you take the derivative of an exponent you do ln(base)*(derivative of inside power)*(original exponential)",
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:43:58",
"content": "so d/dx of $2^{2x}$ equals $ln(2)( 2) 2^{2x}$",
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"author_name": "TeXit",
"timestamp": "12/02/2022 23:44:00",
"content": "**NoahN**",
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"author_name": "NoahN",
"timestamp": "12/02/2022 23:45:55",
"content": "I don't think it will affect anything though, the other part should zero everything out but if you need to show work make sure to include that",
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"timestamp": "12/02/2022 23:46:08",
"content": "yea i see now",
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"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:46:11",
"content": "thank you again",
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"author_id": 396969461778743300,
"author_name": "Sakura♡",
"timestamp": "12/02/2022 23:46:59",
"content": ".close",
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"id": 1048460321259536400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 23:47:00",
"content": "Channel closed",
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}
] | help-9 | 3f734de789d147618abea41632bf269c |
202,021 | [
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"timestamp": "12/02/2022 23:48:00",
"content": "Available help channel!",
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"timestamp": "12/02/2022 23:50:12",
"content": "would the equivalence classes of this be \n[0] = {0}\n[1] = {1, 2}\n[2] = {1, 2}\n[3] = {3}",
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"timestamp": "12/02/2022 23:50:13",
"content": "Pinned a message.",
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"timestamp": "12/02/2022 23:52:17",
"content": "yes",
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"timestamp": "12/02/2022 23:54:27",
"content": "ok thank you",
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"content": ".close",
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"content": "Channel closed",
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] | help-9 | 2e38959a1dca4a3eb5025d66fc16a772 |
202,022 | [
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"id": 1048462329597149200,
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"author_name": "Circle",
"timestamp": "12/02/2022 23:54:58",
"content": "💕",
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"id": 1048462524544200700,
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"author_name": "rice",
"timestamp": "12/02/2022 23:55:45",
"content": ".reopen",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/02/2022 23:55:47",
"content": "✅",
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"id": 1048462539245224000,
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"timestamp": "12/02/2022 23:55:48",
"content": "just one more thing",
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"author_name": "rice",
"timestamp": "12/02/2022 23:56:26",
"content": "for it to be equivalence relation, it just needs to have at least one reflexivity, symmetry, and transitivity?",
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"author_name": "rice",
"timestamp": "12/02/2022 23:57:44",
"content": "so {(0, 0),(1, 1),(2, 2),(3, 3)} on {0, 1, 2, 3} would not be equivalence relation since it doesn't have any symmetry or transitivity",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/02/2022 23:59:45",
"content": "how does it not?",
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"timestamp": "12/03/2022 00:00:56",
"content": "I thought for it to be ER you need all three properties",
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"timestamp": "12/03/2022 00:01:07",
"content": "of transitive, symmetry, and reflexive",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:01:44",
"content": "where does any of trans/symm/refl fail",
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"timestamp": "12/03/2022 00:02:11",
"content": "isnt symmetry when lets say (1, 2) then there needs to be (2, 1)",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:02:18",
"content": "and?",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:02:29",
"content": "where does it fail",
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"author_name": "rice",
"timestamp": "12/03/2022 00:02:51",
"content": "oh you don't need 2 subsets?",
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"timestamp": "12/03/2022 00:02:58",
"content": "it can work on its own?",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:02:59",
"content": "what?",
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"author_name": "Circle",
"timestamp": "12/03/2022 00:04:14",
"content": "",
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"timestamp": "12/03/2022 00:04:35",
"content": "nu this",
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"timestamp": "12/03/2022 00:05:10",
"content": "oh",
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"timestamp": "12/03/2022 00:05:28",
"content": "oh then yea, it doesnt even have (1,2) lol",
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"timestamp": "12/03/2022 00:06:19",
"content": "so for this particular example, (1, 2) is a and (2, 1) is b? and for the example below (a, b)?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:06:22",
"content": "if if if if if if if",
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"timestamp": "12/03/2022 00:06:45",
"content": "wait",
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"timestamp": "12/03/2022 00:06:49",
"content": "what (a,b)",
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"timestamp": "12/03/2022 00:06:50",
"content": "nani",
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"timestamp": "12/03/2022 00:06:53",
"content": "what do you mean by a",
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"timestamp": "12/03/2022 00:06:55",
"content": "and b",
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"timestamp": "12/03/2022 00:07:16",
"content": "sus",
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"timestamp": "12/03/2022 00:07:18",
"content": "(1, 2) is in the relation and (2, 1) is in the relation",
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"timestamp": "12/03/2022 00:07:34",
"content": "Can you ping me whenever you post a complex analysis question",
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"timestamp": "12/03/2022 00:07:46",
"content": "what lol",
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"timestamp": "12/03/2022 00:07:49",
"content": "lol shes done with complex",
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"timestamp": "12/03/2022 00:07:51",
"content": "so random",
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"timestamp": "12/03/2022 00:07:58",
"content": "Shame",
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"timestamp": "12/03/2022 00:08:14",
"content": "well ik that this one has a symmetry but idk how the exmple below is",
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"timestamp": "12/03/2022 00:08:37",
"content": "D:",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:08:44",
"content": "i repeat",
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"id": 1048465800765390800,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:08:46",
"content": "if if if if if if if",
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"timestamp": "12/03/2022 00:09:13",
"content": "lol",
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"timestamp": "12/03/2022 00:09:16",
"content": "there's an if in the definition of symmetric and transitive",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:09:19",
"content": "and it's important lol",
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"id": 1048465991258087400,
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"timestamp": "12/03/2022 00:09:31",
"content": "like",
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"timestamp": "12/03/2022 00:09:45",
"content": "symmetric",
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"timestamp": "12/03/2022 00:09:50",
"content": "so its optional?",
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"timestamp": "12/03/2022 00:09:52",
"content": "for any (a,b)",
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"content": "(b,a) is in the set",
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"content": "in this set, the only (a,b) in the set is",
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"content": "kinda written as",
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"content": "(a,a)",
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"timestamp": "12/03/2022 00:10:37",
"content": "right",
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"content": "well can be written as",
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"content": "and if (a,a) is in the set trivially (a,a) is in the set",
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"content": "thus its symmetric",
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"content": "repeat kinda similarly with the transistive",
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"content": "wouldn't this be reflexive though",
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"content": "oh",
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"content": "idk i dont rmb names",
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"content": "T.T",
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"timestamp": "12/03/2022 00:12:07",
"content": "or can a and b be the same values",
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"timestamp": "12/03/2022 00:12:27",
"content": "no i mean symmetric",
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"content": "i mean in ur specific example",
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"content": "any (a,b) implies (b,a)",
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"timestamp": "12/03/2022 00:12:49",
"content": "the diagonal is symmetric",
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"content": "but any (a,b) can be written as (a,a)",
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"content": "this is symmetry?",
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"timestamp": "12/03/2022 00:13:48",
"content": "in your example everything is of the form (x, x)",
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"content": "oh",
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"timestamp": "12/03/2022 00:13:59",
"content": "this checks symmetry",
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"timestamp": "12/03/2022 00:14:19",
"content": "what about transitivity",
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"content": "the diagonal is transitive",
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"content": "oh",
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"timestamp": "12/03/2022 00:15:45",
"content": "so any set that looks like the example above where everything is of the form (x, x) all three properties apply?",
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"timestamp": "12/03/2022 00:15:56",
"content": "yes",
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"timestamp": "12/03/2022 00:16:00",
"content": "i see",
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"timestamp": "12/03/2022 00:16:04",
"content": "thanks guys",
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"timestamp": "12/03/2022 00:16:08",
"content": "sorry for the hassle",
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"content": "np",
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"timestamp": "12/03/2022 00:16:11",
"content": "💕",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:16:13",
"content": "the diagonal is just",
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"timestamp": "12/03/2022 00:16:18",
"content": "automatically",
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"timestamp": "12/03/2022 00:16:20",
"content": "an equivalence relation",
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"timestamp": "12/03/2022 00:16:25",
"content": "ive nvr heard of the diagonal",
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"timestamp": "12/03/2022 00:16:26",
"content": "lol",
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"timestamp": "12/03/2022 00:16:32",
"content": "what do you mean by diagonal?",
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"timestamp": "12/03/2022 00:16:36",
"content": "its called the diagonal relation",
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"timestamp": "12/03/2022 00:16:41",
"content": "good u asked for me thanks",
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"timestamp": "12/03/2022 00:17:02",
"content": "oh",
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"timestamp": "12/03/2022 00:17:21",
"content": "also the identity relation",
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"timestamp": "12/03/2022 00:17:41",
"content": "so called that because in the 2d euclidean plane",
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"content": "(x, x) is just a diagonal",
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"timestamp": "12/03/2022 00:18:46",
"content": "interesting",
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"timestamp": "12/03/2022 00:18:58",
"content": "yes",
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"timestamp": "12/03/2022 00:18:59",
"content": "interesting",
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"author_name": "rice",
"timestamp": "12/03/2022 00:20:34",
"content": "so going back to my first question, for a set to be equivalence relation, it just needs to have at least 1 of each three properties?",
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"timestamp": "12/03/2022 00:21:12",
"content": "what?",
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"timestamp": "12/03/2022 00:21:29",
"content": "it needs to satisfy all 3 properties",
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"timestamp": "12/03/2022 00:21:34",
"content": "there no \"at least\"",
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"timestamp": "12/03/2022 00:21:51",
"content": "but only once is sufficient right like you dont need to have it for every single element? if im making any sense",
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"timestamp": "12/03/2022 00:22:14",
"content": "the definition here says **if**",
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"timestamp": "12/03/2022 00:22:15",
"content": "no u need it for all",
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"timestamp": "12/03/2022 00:22:18",
"content": "if if if if if",
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"timestamp": "12/03/2022 00:22:51",
"content": "if means so long as you're in R then you must satisfy the following property",
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"timestamp": "12/03/2022 00:22:57",
"content": "like for this example, it only has one symmetry and not for all elements of {0, 1, 2, 3} and it is still valid",
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"content": "lol",
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"timestamp": "12/03/2022 00:23:16",
"content": "it has symmetry for all elements",
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"content": "wdym",
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"content": "which element has no symmetry",
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"timestamp": "12/03/2022 00:23:23",
"content": "oh right",
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"timestamp": "12/03/2022 00:23:31",
"content": "it includes all (x, x) for x in S",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:23:34",
"content": "\"element\" is not very clear tbh lol",
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"timestamp": "12/03/2022 00:23:58",
"content": "relations",
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"timestamp": "12/03/2022 00:24:02",
"content": "is that btr",
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"author_name": "rice",
"timestamp": "12/03/2022 00:24:02",
"content": "so if it didnt have all (x, x) and only the (1, 2) and (2, 1) it would not be symmetric",
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"timestamp": "12/03/2022 00:24:03",
"content": "idk",
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"timestamp": "12/03/2022 00:24:24",
"content": "i mostly meant for like messages like this",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:24:37",
"content": "like idk what that even says lol",
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"timestamp": "12/03/2022 00:24:46",
"content": "neither tbh",
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"timestamp": "12/03/2022 00:25:08",
"content": "not exactly sure what this means either",
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"timestamp": "12/03/2022 00:25:24",
"content": "let me uh edit the pic",
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"timestamp": "12/03/2022 00:25:30",
"content": "if if if if if if if if",
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"timestamp": "12/03/2022 00:25:43",
"content": "HAHAHAHA",
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"author_name": "rice",
"timestamp": "12/03/2022 00:25:53",
"content": "so if it only had this it wouldn't be symmetric",
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"timestamp": "12/03/2022 00:25:58",
"content": "well",
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"timestamp": "12/03/2022 00:25:59",
"content": "yea",
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"timestamp": "12/03/2022 00:26:03",
"content": "ok",
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"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 00:26:04",
"content": "there isnt the equal thing",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:26:05",
"content": ":catThimc:",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:26:14",
"content": "but even if you only dropped (1,1)",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:26:21",
"content": "it still wouldn't be reflexive",
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"id": 1048470231095455900,
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"author_name": "rice",
"timestamp": "12/03/2022 00:26:22",
"content": "and if it was missing any of the (x, x)",
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"timestamp": "12/03/2022 00:26:24",
"content": "ah ok",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:26:32",
"content": "an equivalence relation must contain the diagonal",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:27:00",
"content": "wait what",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 00:28:03",
"content": "you mean reflexive?",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:28:21",
"content": ":hmmCat:",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:28:24",
"content": "i do",
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"author_name": "rice",
"timestamp": "12/03/2022 00:29:08",
"content": ":monkey:",
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"id": 1048470937378500600,
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"author_name": "rice",
"timestamp": "12/03/2022 00:29:11",
"content": "wait",
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"id": 1048471048691130400,
"author_id": 887494982955569200,
"author_name": "rice",
"timestamp": "12/03/2022 00:29:37",
"content": "before you spam if if if if if if",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:29:52",
"content": "layla :catGiggle:",
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"id": 1048471124251513000,
"author_id": 887494982955569200,
"author_name": "rice",
"timestamp": "12/03/2022 00:29:55",
"content": "how is that symmetric if it doesnt have (1, 1)",
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"id": 1048471217302163500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:30:17",
"content": "symmetric because you can flip all the pairs",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:30:23",
"content": "and they'll still be in the relation",
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"id": 1048471399859228700,
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"author_name": "rice",
"timestamp": "12/03/2022 00:31:01",
"content": "wouldn't that mean {(1, 2) (2, 1)} is also symmetric",
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"id": 1048471429454237800,
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:31:08",
"content": "yeah",
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"id": 1048471432650293200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:31:09",
"content": "it is",
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"author_name": "夢雪",
"timestamp": "12/03/2022 00:31:12",
"content": ":catThimc:",
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},
{
"id": 1048471520810389500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 00:31:30",
"content": "it's not reflexive",
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"id": 1048471541928702000,
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"author_name": "rice",
"timestamp": "12/03/2022 00:31:35",
"content": "oh so it fits the symmetric property just not the reflexive and transitive",
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"author_id": 118663865264242690,
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"timestamp": "12/03/2022 00:32:05",
"content": "not reflexive not transitive",
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"id": 1048471680965673000,
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"timestamp": "12/03/2022 00:32:08",
"content": "but symmetric",
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"id": 1048471695272452100,
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"timestamp": "12/03/2022 00:32:11",
"content": "right",
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"id": 1048471705171001300,
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"timestamp": "12/03/2022 00:32:19",
"content": "thank you again",
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"id": 1048472601447645300,
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"author_name": "rice",
"timestamp": "12/03/2022 00:35:47",
"content": ".close",
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},
{
"id": 1048472604564013000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 00:35:48",
"content": "Channel closed",
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}
] | help-9 | aacbfbeb6323426581a661718b653a1e |
202,023 | [
{
"id": 1048483303960879100,
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"content": "Available help channel!",
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"author_id": 673267042563915800,
"author_name": "DaBobot",
"timestamp": "12/03/2022 01:18:37",
"content": "I want to learn the golden rectangle.",
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"content": "Pinned a message.",
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"timestamp": "12/03/2022 01:21:05",
"content": "Okay",
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"author_name": "DaBobot",
"timestamp": "12/03/2022 01:21:41",
"content": "I learned it in second grade but now I cannot remember",
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"id": 1048484269619679400,
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"timestamp": "12/03/2022 01:22:09",
"content": "Please teach me the basics",
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"author_id": 805217272087838700,
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"timestamp": "12/03/2022 01:37:09",
"content": "@DaBobot Has your question been resolved?",
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"timestamp": "12/03/2022 01:45:24",
"content": "I am just going to watch 7 youtube tutorials.",
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"timestamp": "12/03/2022 01:45:31",
"content": "How do i shut this down",
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"id": 1048490167977119700,
"author_id": 404554986396319740,
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"timestamp": "12/03/2022 01:45:36",
"content": "send .close",
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},
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"id": 1048490313632714900,
"author_id": 673267042563915800,
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},
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"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | d5902053c0f34158bb4286dded3ee640 |
202,024 | [
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"content": "Available help channel!",
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"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "12/03/2022 02:02:38",
"content": "Im looking at a proof for closed subsets of compact sets are compact. There's a statement that says if F subset of K subset of X, and V is an open cover of F, then \nV union complement F is an open cover of K. I dont see this.",
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"content": "Pinned a message.",
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"content": "@snotdetectTentoes Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 71f5a3017a2f42508f3e87c16d984058 |
202,025 | [
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},
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"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/03/2022 02:26:37",
"content": "Hello, am new to solving these, could I have a simple step by step",
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{
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"content": "Pinned a message.",
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"id": 1048500926350118900,
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"timestamp": "12/03/2022 02:28:21",
"content": "um",
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},
{
"id": 1048500956431659000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:28:28",
"content": "mult p in num n denom first",
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"id": 1048500989369524200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:28:36",
"content": "to get rid of fracs in them",
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},
{
"id": 1048501072542568400,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/03/2022 02:28:55",
"content": "I have to do keep change flip first?",
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"id": 1048501366512951300,
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"timestamp": "12/03/2022 02:30:05",
"content": "the what",
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"author_name": "RazorBz",
"timestamp": "12/03/2022 02:30:33",
"content": "oh nvm I don't think I can",
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"timestamp": "12/03/2022 02:30:49",
"content": "since it's a division of fractions",
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"author_id": 791412366632812500,
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"timestamp": "12/03/2022 02:31:31",
"content": "so multiply by p",
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"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/03/2022 02:32:38",
"content": "to cancel the p on the denom?",
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"id": 1048502006391787500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:32:38",
"content": "yes",
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"id": 1048502049966391300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:32:48",
"content": "n num",
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{
"id": 1048502148595449900,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/03/2022 02:33:12",
"content": "could you show me in paint?",
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"id": 1048502186700701700,
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"author_name": "RazorBz",
"timestamp": "12/03/2022 02:33:21",
"content": "",
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"id": 1048502219563089900,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/03/2022 02:33:29",
"content": "use that",
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"id": 1048502230900285400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:33:32",
"content": "um",
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"id": 1048502412861780000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:34:15",
"content": "$\\frac{p(9/p-p)}{p(1+3/p)}$",
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"author_name": "TeXit",
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"content": "",
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"id": 1048502435984969900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:34:20",
"content": "u forgot brackets",
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},
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"id": 1048502456184754200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:34:25",
"content": "try to simplify this",
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"id": 1048502504456986800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:34:37",
"content": "multiply the p into the brackets",
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"id": 1048502536937685100,
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"timestamp": "12/03/2022 02:34:45",
"content": "wait sorry",
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"id": 1048502556227272700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:34:49",
"content": "also what are u meant to do",
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},
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"id": 1048502594571608200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/03/2022 02:34:58",
"content": "u cant solve this as it isnt an equation",
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"id": 1048502642650906600,
"author_id": 791412366632812500,
"author_name": "RazorBz",
"timestamp": "12/03/2022 02:35:10",
"content": "Simplify the complex fraction",
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"author_name": "RazorBz",
"timestamp": "12/03/2022 02:38:20",
"content": ".close",
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},
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"id": 1048503442454364200,
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"timestamp": "12/03/2022 02:38:20",
"content": "Channel closed",
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}
] | help-9 | f33d942a958d430994074fcb7baefd86 |
202,026 | [
{
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"timestamp": "12/03/2022 02:39:21",
"content": "Available help channel!",
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},
{
"id": 1048504568482373600,
"author_id": 850613843067142100,
"author_name": "pApA_Ki_pAri",
"timestamp": "12/03/2022 02:42:49",
"content": "can anyone explain to me how the eccentricity of a circle 0? If u cud show it geometrically it wud help a lot",
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"content": "also kindly ping me while replying",
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"content": "@pApA_Ki_pAri Has your question been resolved?",
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"content": "@Helpers",
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"author_name": "pApA_Ki_pAri",
"timestamp": "12/03/2022 03:05:51",
"content": "???",
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"timestamp": "12/03/2022 03:35:52",
"content": "@pApA_Ki_pAri Has your question been resolved?",
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"timestamp": "12/03/2022 03:49:10",
"content": "ffs",
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"author_name": "pApA_Ki_pAri",
"timestamp": "12/03/2022 03:49:13",
"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | fb95a4955cd2449f9fafb862df0c103c |
202,027 | [
{
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"content": "Available help channel!",
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},
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"author_id": 966560355016933400,
"author_name": "ameliaC7313",
"timestamp": "12/03/2022 04:09:55",
"content": "Could anyone help me with this? I've been very stuck and not sure what properties to use... We've just learnt the 3 Lebesgue convergence theorems",
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"content": "@ameliaC7313 Has your question been resolved?",
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"timestamp": "12/03/2022 04:55:05",
"content": "@ameliaC7313 Has your question been resolved?",
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"timestamp": "12/03/2022 05:14:12",
"content": "@ameliaC7313 what does a.e. mean",
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{
"id": 1048542938587725800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 05:15:17",
"content": "almost everywhere",
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},
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"id": 1048543437613441000,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "12/03/2022 05:17:16",
"content": "f_k —> f almost everywhere x in E?",
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"id": 1048543492906950800,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "12/03/2022 05:17:29",
"content": "What does that mean",
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"id": 1048543617846870000,
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"author_name": "abs_0",
"timestamp": "12/03/2022 05:17:59",
"content": "Btw I recommend you post this in #real-complex-analysis because you probably won’t get an answer here",
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"timestamp": "12/03/2022 05:18:21",
"content": "Man I know what all that stuff means but wow I have no idea how you’d actually prove it lol",
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"id": 1048543874416660500,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/03/2022 05:19:00",
"content": "converges to f except on a set of measure 0 or something",
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"timestamp": "12/03/2022 05:55:13",
"content": "@ameliaC7313 Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | 1f919e2183df41809fe2021bf45d8d4f |
202,028 | [
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"timestamp": "10/24/2022 15:11:32",
"content": "Available help channel!",
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},
{
"id": 1034184407436771500,
"author_id": 728029746902073500,
"author_name": "Tiger Prowl Tactical",
"timestamp": "10/24/2022 15:19:36",
"content": "Where did the 1/2 come from?",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/24/2022 15:20:21",
"content": "A perfect square looks like a² + 2ab + b²",
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"author_name": "Gamer Dio",
"timestamp": "10/24/2022 15:20:59",
"content": "So if x² + 12x + b² is a perfect square, then 2b = 12 (since a = x and the middle term is 2ab)",
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"timestamp": "10/24/2022 15:34:37",
"content": "@Tiger Prowl Tactical Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 6ff08ba2de3849b184331d05dc92c626 |
202,029 | [
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"id": 1048574155559280800,
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"author_name": "Matas",
"timestamp": "12/03/2022 07:19:20",
"content": "Hi how do I calculate the co-ordinates of a 2d vector after a rotation of 72 degrees anti clockwise?",
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"content": "@Matas Has your question been resolved?",
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] | help-9 | cd34e2513c47421cb6bb22a498e6e2a2 |
202,030 | [
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] | help-9 | e5afd0ac02d0494eac6907c4daad4aa9 |
202,031 | [
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{
"id": 1048607344302510100,
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"author_name": "madmike",
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"content": "$\\dfrac{1}{7}\\infty = \\infty$",
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"content": "**madmike**",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:31:17",
"content": "Does this make any sense?",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:31:26",
"content": "Or is this bad",
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"author_name": "TeXit",
"timestamp": "12/03/2022 09:31:55",
"content": "**madmike**",
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"timestamp": "12/03/2022 09:32:05",
"content": "this is the reason I'm asking",
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"timestamp": "12/03/2022 09:32:16",
"content": "c_n is n times the other fraction",
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"timestamp": "12/03/2022 09:32:25",
"content": "what the-",
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"timestamp": "12/03/2022 09:32:43",
"content": ":blobsweat:",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:32:52",
"content": "you know what I mean?",
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"id": 1048607821350043800,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/03/2022 09:33:06",
"content": "let me post the whole thing",
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"timestamp": "12/03/2022 09:33:09",
"content": "k",
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"timestamp": "12/03/2022 09:33:20",
"content": "**madmike**",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:33:37",
"content": "idk if it's legit to write it down like this",
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"timestamp": "12/03/2022 09:33:41",
"content": "1/7 infinity",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:33:44",
"content": "seems sketchy",
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"timestamp": "12/03/2022 09:34:05",
"content": "but n grows infinitely large",
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"timestamp": "12/03/2022 09:34:09",
"content": "ah yes",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:34:11",
"content": "and the other fraction converges at 1/7",
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"timestamp": "12/03/2022 09:34:12",
"content": "i think its right",
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"timestamp": "12/03/2022 09:34:33",
"content": "but not sure if youre allowed to use the inf symbol in an equation like that",
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"timestamp": "12/03/2022 09:34:42",
"content": "yeah idk how to write it down",
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"timestamp": "12/03/2022 09:34:58",
"content": "or if it's even correct",
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"timestamp": "12/03/2022 09:35:09",
"content": "well",
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"timestamp": "12/03/2022 09:35:12",
"content": "the answer is right but",
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"timestamp": "12/03/2022 09:35:23",
"content": "i wouldnt suggest writing it like this",
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"timestamp": "12/03/2022 09:35:51",
"content": "at the start, divide n^2 on both sides",
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"timestamp": "12/03/2022 09:36:01",
"content": "and that would just get you to inf probably",
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"timestamp": "12/03/2022 09:36:23",
"content": "i meant denominator and numerator",
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"timestamp": "12/03/2022 09:45:24",
"content": "actually I'm a bit lost",
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"timestamp": "12/03/2022 09:45:29",
"content": "**madmike**",
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"timestamp": "12/03/2022 09:45:37",
"content": "How do I figure out what this converges to?",
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"timestamp": "12/03/2022 09:45:43",
"content": "wolframalpha says it converges to 1",
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"timestamp": "12/03/2022 09:46:10",
"content": "I would have thought 0",
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"timestamp": "12/03/2022 09:46:55",
"content": "because whatever divided by n converges to 0 I assume",
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"timestamp": "12/03/2022 09:47:05",
"content": "so the fractions become 1/1 = 1",
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"timestamp": "12/03/2022 09:47:09",
"content": "and so n - n = 0",
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"timestamp": "12/03/2022 09:47:17",
"content": ":blobsweat:",
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"id": 1048611399397556200,
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"timestamp": "12/03/2022 09:47:19",
"content": "?",
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"timestamp": "12/03/2022 09:47:37",
"content": "just reduct fraction to common denominator",
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"timestamp": "12/03/2022 09:47:46",
"content": "at the first equation",
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"timestamp": "12/03/2022 09:48:45",
"content": "that would make it have n^2 in both sides",
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"timestamp": "12/03/2022 09:50:50",
"content": "yeah I'm trying that now",
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"author_name": "madmike",
"timestamp": "12/03/2022 09:50:59",
"content": "but I don't understand why my thought process here didn't work out",
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"id": 1048612378041913300,
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"author_name": "madmike",
"timestamp": "12/03/2022 09:51:13",
"content": "because in that case why were my earlier calculations correct with the same approach",
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"timestamp": "12/03/2022 09:51:21",
"content": "I don't get it",
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"timestamp": "12/03/2022 09:58:19",
"content": "i didnt quite get what you didnt get",
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"timestamp": "12/03/2022 09:58:26",
"content": "wdym?",
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"timestamp": "12/03/2022 10:03:05",
"content": "for example in an earlier exercise I used the same approach",
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"timestamp": "12/03/2022 10:03:11",
"content": "**madmike**",
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"timestamp": "12/03/2022 10:03:17",
"content": "which got me the correct result",
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"author_name": "madmike",
"timestamp": "12/03/2022 10:04:20",
"content": "I don't understand why this doesn't converge to 0",
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"timestamp": "12/03/2022 10:04:33",
"content": "the fractions both converge to 1 or not?",
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"timestamp": "12/03/2022 10:04:49",
"content": "this is 0",
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"timestamp": "12/03/2022 10:04:56",
"content": "but this is 1",
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"timestamp": "12/03/2022 10:05:00",
"content": "yeah",
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"timestamp": "12/03/2022 10:05:04",
"content": "but why ._.",
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"timestamp": "12/03/2022 10:05:07",
"content": "oh",
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"timestamp": "12/03/2022 10:05:09",
"content": "bcz",
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"id": 1048615918349070500,
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"timestamp": "12/03/2022 10:05:17",
"content": "in the last equation u did",
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"id": 1048615987395690500,
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"timestamp": "12/03/2022 10:05:33",
"content": "wait no",
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"timestamp": "12/03/2022 10:05:51",
"content": "i dont suggest solving these types of problem loke this",
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"id": 1048616109491888300,
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"timestamp": "12/03/2022 10:06:02",
"content": "because this question has minus",
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"id": 1048616256732930200,
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"author_name": "madmike",
"timestamp": "12/03/2022 10:06:37",
"content": "so my approach in the first problem only works if you only have 1 fraction?",
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"timestamp": "12/03/2022 10:06:38",
"content": "it has minus to a thing with same exponent",
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"timestamp": "12/03/2022 10:06:52",
"content": "well",
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"timestamp": "12/03/2022 10:07:03",
"content": "yes",
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"timestamp": "12/03/2022 10:07:18",
"content": "so if you want to use that",
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"timestamp": "12/03/2022 10:07:23",
"content": "make it 1 fraction first",
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"timestamp": "12/03/2022 10:07:31",
"content": "like this",
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"id": 1048616518419759100,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/03/2022 10:07:40",
"content": "in my brain the fractions converge to 1 and `n` converges to `infty` and `infty-infty = 0` :kekw: but I see why this doesn't make sense ....",
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"timestamp": "12/03/2022 10:07:47",
"content": "yeah I am doing rn",
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"timestamp": "12/03/2022 10:07:52",
"content": "nice",
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"id": 1048616577513291800,
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"timestamp": "12/03/2022 10:07:54",
"content": "gl",
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"id": 1048616592046575600,
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"author_name": "madmike",
"timestamp": "12/03/2022 10:07:57",
"content": "thank you",
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"author_name": "Launchtik Official",
"timestamp": "12/03/2022 10:07:58",
"content": "gonna go sleep lol",
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"id": 1048616609348067300,
"author_id": 733200187358445600,
"author_name": "Launchtik Official",
"timestamp": "12/03/2022 10:08:02",
"content": "byee",
"attachments": [],
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},
{
"id": 1048616626033016800,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/03/2022 10:08:06",
"content": "good night sir 😄",
"attachments": [],
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},
{
"id": 1048617467167125600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/03/2022 10:11:26",
"content": "**madmike**",
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"timestamp": "12/03/2022 10:11:36",
"content": "I assume this is correct now",
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"id": 1048619649501237400,
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"author_name": "madmike",
"timestamp": "12/03/2022 10:20:06",
"content": ".close",
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{
"id": 1048619652261093500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 10:20:07",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | f9ca876607bd477cbe6427ed1ee1085b |
202,032 | [
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"id": 1048619904665923600,
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"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 10:21:07",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1048620178201657500,
"author_id": 1031156488770691100,
"author_name": "tayta_strophe",
"timestamp": "12/03/2022 10:22:12",
"content": "helloo",
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"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 10:22:13",
"content": "Pinned a message.",
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"author_name": "tayta_strophe",
"timestamp": "12/03/2022 10:22:55",
"content": "can u guys help me with this one?",
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"content": ".close",
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"id": 1048623154668523600,
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"content": "Channel closed",
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}
] | help-9 | 046cdee1008b46dc8aeb6e4bc1ca9ce0 |
202,033 | [
{
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"timestamp": "12/03/2022 10:35:02",
"content": "Available help channel!",
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{
"id": 1048623461389570000,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:35:15",
"content": "Hi there",
"attachments": [],
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},
{
"id": 1048623463184748700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 10:35:16",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:35:29",
"content": "@Ann Are you up for a question now? 🙂",
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{
"id": 1048624255295832200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "12/03/2022 10:38:24",
"content": "You can just post your question and maybe someone else can help",
"attachments": [],
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},
{
"id": 1048624615955640400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:39:50",
"content": "You don't wanna make Ann upset",
"attachments": [],
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},
{
"id": 1048624621815079000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:39:52",
"content": "Trust me",
"attachments": [],
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},
{
"id": 1048624642350391400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:39:57",
"content": "I've done it before and it does not go well",
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},
{
"id": 1048624686076014600,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 10:40:07",
"content": "yeshh",
"attachments": [],
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},
{
"id": 1048624756523540500,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 10:40:24",
"content": "but she’s rly smart",
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"id": 1048624760424247300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:40:25",
"content": "Tbf I'm pretty sure if you annoy any of us, shit hits the fan",
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"id": 1048624927424655500,
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"author_name": "Pure",
"timestamp": "12/03/2022 10:41:05",
"content": "Calm",
"attachments": [],
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{
"id": 1048624945162367100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:41:09",
"content": "Except you of course",
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"id": 1048624962950414300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:41:13",
"content": "You are a gentleman",
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{
"id": 1048625159902331000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:42:00",
"content": "No I've gotten mad",
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"id": 1048625194094305300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:42:08",
"content": "I'm like brutally honest",
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"id": 1048625225887129700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:42:16",
"content": "I'm like this to everyone tho lol",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:42:18",
"content": "I swear who started the calm thing",
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"id": 1048625269273010300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:42:26",
"content": "😭",
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{
"id": 1048625363359645700,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "12/03/2022 10:42:49",
"content": "I thought you knew British slang",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:42:53",
"content": "That's the spirit dw 😎",
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"timestamp": "12/03/2022 10:43:03",
"content": "Actually",
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"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "12/03/2022 10:43:11",
"content": "#help-26｜divineer",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:43:28",
"content": "Yeah *I know*, but you guys are not using it because u r feeling little British hippy today",
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"id": 1048625714280288400,
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"author_name": "RanZ",
"timestamp": "12/03/2022 10:44:12",
"content": "Hi guys",
"attachments": [],
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},
{
"id": 1048625749789266000,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:44:21",
"content": "Sorry, I just restarted my PC",
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{
"id": 1048625982644437100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:45:16",
"content": "Gamer moment",
"attachments": [],
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},
{
"id": 1048626094007402600,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:45:43",
"content": "I don't get it. you're worried about me upsetting Ann?",
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"id": 1048626431866970100,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:47:03",
"content": "@Ann told me to try reaching out around this time now so no worries guys",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:47:14",
"content": "Oh I see",
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"id": 1048626505242132500,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:47:21",
"content": "If someone would like to try and help it would be great tough ofc!",
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{
"id": 1048626563224178800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 10:47:35",
"content": "Just post it anyways and we'll see if we can help you",
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"id": 1048626600318603400,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/03/2022 10:47:44",
"content": "She probably did not mean to open a new help channel... Maybe privately talking with her or using some other public channel",
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"id": 1048626605100113900,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:47:45",
"content": "I'll post the question in a few moments",
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"id": 1048626679817457700,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 10:48:03",
"content": "maybe, idk.",
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"id": 1048627648928161800,
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"author_name": "RanZ",
"timestamp": "12/03/2022 10:51:54",
"content": "Let 0<= p <= 1.\nLet n c N.\nLet X ~ B(n,p)\n\nWe define the set A to be: the events where X gets an even value.\n\nProve: P(A) = 0.5 * (1+(1-2p)^n)\n\nGuidance: Use the Newton binomial theorem and show that (picture below)",
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"id": 1048627804197113900,
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"author_name": "RanZ",
"timestamp": "12/03/2022 10:52:31",
"content": "",
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"author_name": "RanZ",
"timestamp": "12/03/2022 10:53:26",
"content": "Thats the question 🙂",
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"id": 1048631810927644800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 11:08:26",
"content": "@RanZ Has your question been resolved?",
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"id": 1048632178524827800,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 11:09:54",
"content": "Showing the first equation is pretty easy.",
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"id": 1048632224448258200,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 11:10:04",
"content": "I couldn't understand how to show the second one",
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},
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"id": 1048632352210964500,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 11:10:35",
"content": "And I couldn't understand what should I do with that",
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"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 11:40:35",
"content": "@RanZ Has your question been resolved?",
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"id": 1048640084200661000,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 11:41:18",
"content": "Anyone can help ? 🙂",
"attachments": [],
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"id": 1048640105620971600,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 11:41:23",
"content": "@Helpers",
"attachments": [],
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},
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"id": 1048649516347310100,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:18:47",
"content": "@Ann Up for some help here?",
"attachments": [],
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"id": 1048649837006028800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/03/2022 12:20:04",
"content": "isnt this again an instance of binomial theorem",
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{
"id": 1048649900340027400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/03/2022 12:20:19",
"content": "$\\sum_{k=0}^n \\binom{n}{k} (-p)^k (1-p)^{n-k}$",
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},
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"id": 1048649910091796600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/03/2022 12:20:21",
"content": "**Ann**",
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"id": 1048649934800429000,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:20:27",
"content": "Yeah it should be.",
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},
{
"id": 1048649998503526400,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:20:42",
"content": "Oh, you took the minus inside p",
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"id": 1048650286429904900,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:21:51",
"content": "But what is the meaning of that though?",
"attachments": [],
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},
{
"id": 1048650389068730400,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:22:15",
"content": "Does it mean summing all even options?",
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{
"id": 1048651253246328800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/03/2022 12:25:41",
"content": "define \"meaning\"?",
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"id": 1048651327183536300,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:25:59",
"content": "In terms of the probability I am asked to provide",
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},
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"id": 1048651347026780200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/03/2022 12:26:04",
"content": "i'll be strictly unavailable for the next hour or so though",
"attachments": [],
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{
"id": 1048651370770731100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/03/2022 12:26:09",
"content": "so i have no time to pry details out of you",
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},
{
"id": 1048651373685776400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/03/2022 12:26:10",
"content": "sorry",
"attachments": [],
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},
{
"id": 1048651464685408300,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:26:32",
"content": "I see",
"attachments": [],
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},
{
"id": 1048651525939015800,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:26:46",
"content": "you think you'll be able to help later on ?",
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},
{
"id": 1048651627625717900,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:27:11",
"content": "Thanks anyways",
"attachments": [],
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},
{
"id": 1048652659160260700,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:31:16",
"content": "Is anyone else able to help here?",
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},
{
"id": 1048658123986063400,
"author_id": 865081952368590800,
"author_name": "RanZ",
"timestamp": "12/03/2022 12:52:59",
"content": ".close",
"attachments": [],
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},
{
"id": 1048658126984974500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 12:53:00",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | c17a8e73456c4abea7d754ee4bfc0c48 |
202,034 | [
{
"id": 1048658853425856600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 12:55:53",
"content": "Available help channel!",
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},
{
"id": 1048660137784643600,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:01:00",
"content": "Find min point of quadratic equation in the form a(x-p)²+q completing the square \n\n4x²+x+3=0",
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},
{
"id": 1048660140594843600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 13:01:00",
"content": "Pinned a message.",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "12/03/2022 13:03:00",
"content": "do you know how to complete the square",
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},
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"id": 1048661101115609100,
"author_id": 290155581698867200,
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"timestamp": "12/03/2022 13:04:49",
"content": "Yes",
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},
{
"id": 1048661255033987200,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:05:26",
"content": "I can do it for most of them but this one for some reason isn't working",
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},
{
"id": 1048661296016539800,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:05:36",
"content": "It has fractions i think that's why",
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},
{
"id": 1048661958762692700,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:08:14",
"content": "did you factor out 4?",
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},
{
"id": 1048661976986947600,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:08:18",
"content": "from the first 2 terms",
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},
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"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:10:29",
"content": "Yes",
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},
{
"id": 1048662688684835000,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:11:08",
"content": "do you have a pic of ur work",
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},
{
"id": 1048662732527915100,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:11:18",
"content": "Yeah, I'll send it",
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{
"id": 1048662760285802600,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:11:25",
"content": "okiee",
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},
{
"id": 1048663224012255400,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:13:15",
"content": "Oh lol, I'm stupid",
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},
{
"id": 1048663240844001400,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:13:19",
"content": "I'll do it again and show you",
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},
{
"id": 1048663261190570000,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:13:24",
"content": "I divided by 2 instead of 4",
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},
{
"id": 1048663275728031900,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:28",
"content": "okie haha issok",
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{
"id": 1048663279192514700,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:28",
"content": "btw",
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},
{
"id": 1048663288889741400,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:31",
"content": "the last number",
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},
{
"id": 1048663304073117800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:34",
"content": "the constant 3",
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"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:37",
"content": "doesn’t get affected",
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"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:13:46",
"content": "My teacher told me it does",
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"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:51",
"content": "it doesn’t",
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},
{
"id": 1048663392396779500,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:13:55",
"content": "see where your parentheses is",
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},
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"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:15:09",
"content": "The first equation is one I solved using the method",
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},
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"id": 1048664147153408100,
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"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:16:55",
"content": "2(x-3)^2 -11/2 is not the correct answer for this qn",
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"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:17:12",
"content": "idk why your teacher marked it as right",
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"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:17:40",
"content": "Oh ffs lol",
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"id": 1048664343153230000,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:17:42",
"content": "it’s just 2(x-3)^2 -11",
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{
"id": 1048664417463697400,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:18:00",
"content": "no there’s no 11/2",
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},
{
"id": 1048664449680154800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:18:08",
"content": "haha I think ur teacher saw wrongly",
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"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "12/03/2022 13:18:11",
"content": "yeah wait holdup",
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"id": 1048664535550144500,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:18:28",
"content": "I got the 11/2 by multiplying the 7/3 by -3²",
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},
{
"id": 1048664606761025700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 13:18:45",
"content": "how are you guys getting the 2 :hmmCat:",
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},
{
"id": 1048664870498865300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 13:19:48",
"content": "different q i see :hmmCat:",
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"id": 1048664872482766800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:19:48",
"content": "the qn is 2x^2 -12x + 7",
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"id": 1048664889809440800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:19:52",
"content": "for the thingy",
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},
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"id": 1048664935904841900,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:20:03",
"content": "that the teacher marked as correct",
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"id": 1048664938442412000,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 13:20:04",
"content": "Yes",
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},
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"id": 1048665346321682600,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:21:41",
"content": "",
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"id": 1048665405675274200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 13:21:55",
"content": "#",
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},
{
"id": 1048665426990731300,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:22:01",
"content": "##",
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},
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"id": 1048665432158130300,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:22:02",
"content": "hehe",
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"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:23:02",
"content": "for this u can just do $4(x^2 +\\frac{1}{4}x)+3$",
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"id": 1048665695027724300,
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"author_name": "TeXit",
"timestamp": "12/03/2022 13:23:04",
"content": "**swaggofishballs**",
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"id": 1048665729035141200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 13:23:13",
"content": ":hmmCat:",
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{
"id": 1048665765961805800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/03/2022 13:23:21",
"content": "you're using transparent colour scheme :hmmCat:",
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{
"id": 1048666004869357700,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:24:18",
"content": "gimmie ur rainbow colour scheme",
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},
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"id": 1048666044669108200,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "12/03/2022 13:24:28",
"content": ":catbread:",
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"id": 1048668714297475100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 13:35:04",
"content": "@Cheesecake Has your question been resolved?",
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"timestamp": "12/03/2022 13:50:05",
"content": "Channel closed",
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}
] | help-9 | cef1e264bb1441069a1fbeafb2bcaf47 |
202,035 | [
{
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"timestamp": "12/03/2022 13:51:05",
"content": "Available help channel!",
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},
{
"id": 1048680214374400100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 14:20:46",
"content": "Pinned a message.",
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"content": "Channel closed",
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}
] | help-9 | 242e342cafbf43b3b18970611ab45d18 |
202,036 | [
{
"id": 1048682743258689700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 14:30:49",
"content": "Available help channel!",
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},
{
"id": 1048689830508368000,
"author_id": 290155581698867200,
"author_name": "Cheesecake",
"timestamp": "12/03/2022 14:58:59",
"content": "I still need help",
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},
{
"id": 1048689834228723700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"timestamp": "12/03/2022 14:59:07",
"content": "With the message above",
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"author_id": 290155581698867200,
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"timestamp": "12/03/2022 14:59:20",
"content": "I used this",
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"timestamp": "12/03/2022 15:14:20",
"content": "@Cheesecake Has your question been resolved?",
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"content": "@Cheesecake Has your question been resolved?",
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"timestamp": "12/03/2022 16:02:56",
"content": "@Cheesecake",
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"timestamp": "12/03/2022 16:12:06",
"content": "Wow, all the effort you put in, thank you!",
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"content": "no problem!",
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"timestamp": "12/03/2022 16:20:04",
"content": "Channel closed",
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}
] | help-9 | 286492d0a1e54cd18b195cf2e6d25d67 |
202,037 | [
{
"id": 1048710487677870100,
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"timestamp": "12/03/2022 16:21:04",
"content": "Available help channel!",
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},
{
"id": 1048712626097627300,
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"author_name": "Diamond_aj",
"timestamp": "12/03/2022 16:29:34",
"content": "need help i don't understand this",
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"timestamp": "12/03/2022 16:44:34",
"content": "@Diamond_aj Has your question been resolved?",
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"timestamp": "12/03/2022 17:22:32",
"content": "@Diamond_aj Has your question been resolved?",
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"timestamp": "12/03/2022 18:40:08",
"content": "@Diamond_aj Has your question been resolved?",
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"author_name": "celeste16",
"timestamp": "12/03/2022 19:18:35",
"content": "C is called a stem and leaf diagram",
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"timestamp": "12/03/2022 19:18:48",
"content": "the 0, 1, 2 on the left is considered the stem",
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"author_name": "celeste16",
"timestamp": "12/03/2022 19:19:04",
"content": "and then the values on the right are considered the leaves",
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"content": "Channel closed",
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] | help-9 | 7f8920254fb340e69557a22d5c64ad55 |
202,038 | [
{
"id": 1048760839534039200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 19:41:09",
"content": "Available help channel!",
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},
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"id": 1048761634685980700,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:44:18",
"content": "Hello",
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"id": 1048761639022891100,
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"content": "Pinned a message.",
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"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:44:26",
"content": "I have a question regarding the percentage increase",
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"id": 1048761751308611700,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:44:46",
"content": "So, for example the percentage increase of 10 to 100",
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{
"id": 1048761815053639700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 19:45:01",
"content": "Yeah what about that",
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{
"id": 1048761943952990300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 19:45:32",
"content": "Lol dw, just go to a diff channel",
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{
"id": 1048761972931444900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:45:39",
"content": "Is 900% yeah?",
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"id": 1048762024320057300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/03/2022 19:45:51",
"content": "900% increase, yeah",
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"id": 1048762167232581600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:46:25",
"content": "So this translates into a 9x increase ?",
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{
"id": 1048762306202443900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:46:58",
"content": "Indont think so",
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{
"id": 1048762324422512600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:47:03",
"content": "Im wrong i guess",
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{
"id": 1048762412540645400,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:47:24",
"content": "Because 100% increase is 2x right",
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"id": 1048762435282153500,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:47:29",
"content": "2 times increase",
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{
"id": 1048762578014326900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:48:03",
"content": "So how many times is 900% increase? We divide it by 2? Then its a 4.5 times increase ?",
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"id": 1048762667512377300,
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"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:48:25",
"content": "No this is wrong too xd",
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"id": 1048762704627769500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 19:48:33",
"content": "x% increase is a (x/100) + 1 times increase",
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"id": 1048762739956396200,
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"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:48:42",
"content": "Ahhhh",
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{
"id": 1048762809556672600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:48:58",
"content": "So we add 1 to the x/100 value always?",
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{
"id": 1048762912723959800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 19:49:23",
"content": "To find the multiplication factor for a percent increase, I guess",
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{
"id": 1048762962984321000,
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"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:49:35",
"content": "To translate percentage increasr into yeah the multiplication times",
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{
"id": 1048762994798108700,
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"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:49:43",
"content": "Okay thank u so much! This clears up my confusion!!",
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"id": 1048763016147108000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 19:49:48",
"content": "100% increase is a multiplication of 2, 200% increase is a multiplication of 3, 50% increase is a multiplication of 1.5",
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{
"id": 1048763077128106000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:50:02",
"content": "Yeah!",
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{
"id": 1048763144136306800,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:50:18",
"content": "So we add 1 to the raw value (without x100)",
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{
"id": 1048763164533203000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:50:23",
"content": "To find the times",
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"id": 1048763174389809300,
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"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:50:25",
"content": "Thank you !!’",
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"id": 1048763191968137300,
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"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:50:30",
"content": "I will close now ig :)",
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"id": 1048763251032338600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/03/2022 19:50:44",
"content": ".close",
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"id": 1048763253808971800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 19:50:44",
"content": "Channel closed",
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] | help-9 | 3e0bd6b812974ce6b0cf6d97198404d7 |
202,039 | [
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"content": "mb",
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"id": 1032867231622770700,
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"timestamp": "10/21/2022 00:05:37",
"content": "wrong image",
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"id": 1032867342050406400,
"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:06:04",
"content": "I got no idea how to do this my friend wanted help but i iddnt do this yet",
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},
{
"id": 1032867386489053300,
"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:06:14",
"content": "she said shes going to ask the teacher ab it tmr and just need the answers for now",
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"id": 1032867496937664500,
"author_id": 638412003882434600,
"author_name": "Serena-17",
"timestamp": "10/21/2022 00:06:41",
"content": "You have to plug in the functions and plug in the values",
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"id": 1032867642379350100,
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"author_name": "Dove",
"timestamp": "10/21/2022 00:07:15",
"content": "wot does that mean",
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"id": 1032867657776648200,
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"author_name": "Serena-17",
"timestamp": "10/21/2022 00:07:19",
"content": "so for the first one f(-2) would be the function with x being -2",
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"id": 1032867744556781600,
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"author_name": "Serena-17",
"timestamp": "10/21/2022 00:07:40",
"content": "then you multiply it by 4 since it is 4f(-2)",
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"author_name": "Dove",
"timestamp": "10/21/2022 00:07:48",
"content": "so its -8?",
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"id": 1032867824424734700,
"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:07:59",
"content": "I just put -8 in place for the first big equation?",
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"timestamp": "10/21/2022 00:11:34",
"content": "f(x)=(x+1)/(x-2)(x+3), so f(-2)= (-2+1)/(-2-2)(-2+3) = (-1)/(-4)(1) = 1/4",
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"timestamp": "10/21/2022 00:12:39",
"content": "so for the first one 4f(-2)+8f(-4) we can replace f(-2) so now we have 4 * 1/4 + 8f(-4)",
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"timestamp": "10/21/2022 00:13:00",
"content": "1 + 8f(-4)",
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"timestamp": "10/21/2022 00:13:07",
"content": "wait so",
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"timestamp": "10/21/2022 00:13:09",
"content": "Available help channel!",
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"id": 1032869134817575000,
"author_id": 638412003882434600,
"author_name": "Serena-17",
"timestamp": "10/21/2022 00:13:11",
"content": "then solve for f(-4)",
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"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 00:13:11",
"content": "Pinned a message.",
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"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:13:37",
"content": "so its the original equation and u replaced the X with the values?",
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"id": 1032869281345568800,
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"timestamp": "10/21/2022 00:13:46",
"content": "yes",
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"id": 1032869381207773200,
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"author_name": "Serena-17",
"timestamp": "10/21/2022 00:14:10",
"content": "anytime you see f(some number) you plug the number into the original",
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"id": 1032869483322282000,
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"author_name": "Serena-17",
"timestamp": "10/21/2022 00:14:34",
"content": "and then do the rest of the math",
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"timestamp": "10/21/2022 00:14:44",
"content": "this equals to 1/4 but thats the 4f(-2) part right",
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"id": 1032869537395253200,
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"author_name": "Dove",
"timestamp": "10/21/2022 00:14:47",
"content": "i have to do it again for the",
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{
"id": 1032869556877787100,
"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:14:52",
"content": "8f(-4)",
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"id": 1032869567153840100,
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"timestamp": "10/21/2022 00:14:54",
"content": "yes",
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},
{
"id": 1032869633943932900,
"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:15:10",
"content": "how does the 4 an 8 affect the equation?",
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{
"id": 1032869676671312000,
"author_id": 680872509234741200,
"author_name": "Dove",
"timestamp": "10/21/2022 00:15:20",
"content": "OH WIAT",
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"author_id": 638412003882434600,
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"timestamp": "10/21/2022 00:15:28",
"content": "you just multiply by those numbers",
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"timestamp": "10/21/2022 00:15:50",
"content": "so since f(-2) is 1/4 you multiply it by 4 and get 1",
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"timestamp": "10/21/2022 00:16:01",
"content": "okok i got it",
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"timestamp": "10/21/2022 00:16:04",
"content": "thanks ill do the rest",
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"timestamp": "10/21/2022 00:19:12",
"content": "you're welcome",
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"timestamp": "10/21/2022 00:34:12",
"content": "@Serena-17 Has your question been resolved?",
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] | help-9 | 73dd3422577a4162acb965d996d310d9 |
202,040 | [
{
"id": 1034195483557642400,
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"author_name": "Mathematics Bot",
"timestamp": "10/24/2022 16:03:37",
"content": "Available help channel!",
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"author_name": "infiniteregrets",
"timestamp": "10/24/2022 16:07:29",
"content": "I am stuck on the second part of this question, I was thinking that id fix the 11 th cereal box to be a win and 10C2 to be the rest to choose from that'd win. And similary form some kind of series fixing 12th, 13th and so on.. but that doesnt sound right to me. Any ideas on how I should go about solving this? Thanks",
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"timestamp": "10/24/2022 16:22:30",
"content": "@infiniteregrets Has your question been resolved?",
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"timestamp": "10/24/2022 16:27:15",
"content": "hmmm",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/24/2022 16:27:31",
"content": "id think to assemble the pieces",
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"author_name": "jan Niku",
"timestamp": "10/24/2022 16:28:00",
"content": "youre going to have to use the complement, i think",
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"timestamp": "10/24/2022 16:28:13",
"content": "so find the prob you do it in 10 boxes or sooner",
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"content": "@infiniteregrets",
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"timestamp": "10/24/2022 16:28:21",
"content": "which isnt fun but still doable",
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"timestamp": "10/24/2022 16:28:34",
"content": "i think you could probably write it as a couple of summations",
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"timestamp": "10/24/2022 16:28:39",
"content": "so like, 1 - at most 10?",
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"timestamp": "10/24/2022 16:28:45",
"content": "well 3 to 10",
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"timestamp": "10/24/2022 16:28:58",
"content": "got it",
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"timestamp": "10/24/2022 16:29:03",
"content": "I think",
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"content": "i think you can use binomial",
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"timestamp": "10/24/2022 16:29:15",
"content": "and get this into a nicer form for calculation",
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"timestamp": "10/24/2022 16:29:30",
"content": "but it will take some thinking that may be longer than just brute calculation",
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"timestamp": "10/24/2022 16:29:43",
"content": "like uhh",
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"timestamp": "10/24/2022 16:29:50",
"content": "if it takes $k$ boxes to find the 3rd prize",
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"timestamp": "10/24/2022 16:29:54",
"content": "**jan Niku**",
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"timestamp": "10/24/2022 16:30:00",
"content": "then the associated prob should be",
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"timestamp": "10/24/2022 16:30:52",
"content": "$\\qty( 0.86 )^{k-3} \\binom{3}{k-3} \\qty( 0.16 )^3$",
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"timestamp": "10/24/2022 16:30:54",
"content": "i think?",
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"timestamp": "10/24/2022 16:31:02",
"content": "**jan Niku**",
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"timestamp": "10/24/2022 16:31:36",
"content": "yea i think this works",
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"timestamp": "10/24/2022 16:31:41",
"content": "consider the case with 4 boxes",
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"timestamp": "10/24/2022 16:31:45",
"content": "oh, no it doesnt",
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"timestamp": "10/24/2022 16:31:48",
"content": "you need to remove some cases",
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"timestamp": "10/24/2022 16:32:00",
"content": "its actually choose 2",
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"timestamp": "10/24/2022 16:32:05",
"content": "you know the final prize is on the last box",
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"timestamp": "10/24/2022 16:32:10",
"content": "see what i mean about thinking lol",
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"timestamp": "10/24/2022 16:32:12",
"content": "you might already be there",
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"timestamp": "10/24/2022 16:32:17",
"content": "hahah",
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"timestamp": "10/24/2022 16:32:23",
"content": "yeah i am understanding this now",
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"timestamp": "10/24/2022 16:32:29",
"content": "yea thats the gist though",
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"timestamp": "10/24/2022 16:32:37",
"content": "but not sure about the formula u used there",
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"author_name": "jan Niku",
"timestamp": "10/24/2022 16:32:49",
"content": "like what the pieces mean?",
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"timestamp": "10/24/2022 16:32:49",
"content": "thanks appreciate the help!",
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"timestamp": "10/24/2022 16:32:56",
"content": "oh, you mean its incorrect",
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"timestamp": "10/24/2022 16:32:58",
"content": ":KEK:",
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"timestamp": "10/24/2022 16:33:20",
"content": "nope like, i was gonna consider individual cases like 3,4 .. 10 and add them up and 1 - that sum",
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"timestamp": "10/24/2022 16:34:08",
"content": "i think you can change to what $(0.87)^{k-3} \\binom{2}{k-4} (0.13)^k$",
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"timestamp": "10/24/2022 16:34:11",
"content": "mayyybbbeee",
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"timestamp": "10/24/2022 16:34:12",
"content": "**jan Niku**",
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"timestamp": "10/24/2022 16:34:37",
"content": "idk feel free to ping if you get stuck on it",
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"timestamp": "10/24/2022 16:34:40",
"content": "it may take me some drawing",
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"timestamp": "10/24/2022 16:34:50",
"content": "okay thanks so much!",
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"timestamp": "10/24/2022 16:51:27",
"content": "@jan Niku this is what i did, but it doesnt seem to be correct",
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"timestamp": "10/24/2022 16:52:10",
"content": "any ideas?",
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"timestamp": "10/24/2022 17:18:29",
"content": "sorry i got distracted with another question lol",
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"timestamp": "10/24/2022 17:23:55",
"content": "so i think i think",
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"timestamp": "10/24/2022 17:24:04",
"content": "for it to take k boxes",
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"timestamp": "10/24/2022 17:24:33",
"content": "$(0.16)^3 (0.84)^{k-3}\\binom{k-1}{k-3}$",
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"timestamp": "10/24/2022 17:24:35",
"content": ":thonkzoom:",
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"timestamp": "10/24/2022 17:24:36",
"content": "**jan Niku**",
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"timestamp": "10/24/2022 17:24:51",
"content": "thinking of the binom as this",
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"timestamp": "10/24/2022 17:24:56",
"content": "youve used k boxes",
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"timestamp": "10/24/2022 17:25:02",
"content": "but you know the last one had a prize in it",
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"timestamp": "10/24/2022 17:25:17",
"content": "so you have k-1 boxes which arent known necessarily whether they had a prize in them or not",
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"timestamp": "10/24/2022 17:25:34",
"content": "since youre done, 2 of them have to have a prize in them",
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"timestamp": "10/24/2022 17:25:39",
"content": "so if were picking just regular ol boxes",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/24/2022 17:25:43",
"content": "with no prize",
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},
{
"id": 1034216209002008700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/24/2022 17:25:59",
"content": "we have (k-1)-2 ways to arrange them",
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},
{
"id": 1034216225141690500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/24/2022 17:26:02",
"content": "is this right :flonshed:",
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},
{
"id": 1034216244750061600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "10/24/2022 17:26:07",
"content": "whats the answer lol",
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},
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"id": 1034218762209071200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/24/2022 17:36:07",
"content": "@infiniteregrets Has your question been resolved?",
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"timestamp": "10/24/2022 18:06:08",
"content": "Channel closed",
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}
] | help-9 | 945b8c6c0d194529bd5e97f38c0668fe |
202,041 | [
{
"id": 1048764163071164400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 19:54:21",
"content": "Available help channel!",
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},
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"id": 1048766750516334600,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:04:38",
"content": "I need to find the laplace transform of this thing, and solve for L(y). I just need help getting started. Like what's the first thing I do? how does the heaviside play into it?",
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"id": 1048766901930705000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:05:14",
"content": "You got a table of Laplace transforms?",
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},
{
"id": 1048766948932059100,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:05:25",
"content": "uhrm ye",
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},
{
"id": 1048766970520142000,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:05:30",
"content": "want me to post?",
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},
{
"id": 1048767002828873900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:05:38",
"content": "Sure",
"attachments": [],
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},
{
"id": 1048767055563849700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:05:51",
"content": "So I don't need to look it up myself :sotrue:",
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},
{
"id": 1048767139668037600,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:06:11",
"content": "lol",
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},
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"id": 1048767148513828900,
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"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:06:13",
"content": "",
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"id": 1048767211428393100,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:06:28",
"content": "The thing i'm most confused about is the domain stuff, actually",
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},
{
"id": 1048767316755763200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:06:53",
"content": "That's the whole table?",
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},
{
"id": 1048767387568197600,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:10",
"content": ";;o-o are there mroe",
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},
{
"id": 1048767440454172700,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:22",
"content": ";;;;;;;o-o",
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},
{
"id": 1048767498507534300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:07:36",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1048767498222317710/Emjqz.png",
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"id": 1048767518258512000,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:41",
"content": ":O",
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},
{
"id": 1048767528626831500,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:43",
"content": "big",
"attachments": [],
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"reference": null
},
{
"id": 1048767558150541300,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:51",
"content": "many",
"attachments": [],
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"reference": null
},
{
"id": 1048767570888638500,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:54",
"content": "thank",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1048767580984324100,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:56",
"content": "well I mean",
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},
{
"id": 1048767594439639200,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:07:59",
"content": "hold on tho",
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},
{
"id": 1048767663893127200,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:08:16",
"content": "apapapapabbabababuh",
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},
{
"id": 1048767747049402500,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:08:36",
"content": "so I do L [ u(t-2) sin(3(t-2)) ]",
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},
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"id": 1048767794084323300,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:08:47",
"content": "what's the domain of that thing??",
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},
{
"id": 1048767853366616000,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:09:01",
"content": "what do I do with the heviside??",
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},
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"id": 1048768046006804500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:09:47",
"content": "Well, you can see on the table, L(u(t - c)f(t - c)) = e^(-cs)F(s)",
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},
{
"id": 1048768257248739600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "12/03/2022 20:10:37",
"content": "As for domain, it's been too long since I've done this ¯\\\\\\_(ツ)_/¯",
"attachments": [],
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"reference": null
},
{
"id": 1048768344586731600,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:10:58",
"content": "o",
"attachments": [],
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"reference": null
},
{
"id": 1048768352996311000,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:11:00",
"content": "ooo",
"attachments": [],
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"reference": null
},
{
"id": 1048768365075906600,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:11:03",
"content": "oooooooooooo",
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},
{
"id": 1048768534924230700,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:11:43",
"content": "i get it now",
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"reference": null
},
{
"id": 1048768550749343700,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:11:47",
"content": "thank u 😂",
"attachments": [],
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"reference": null
},
{
"id": 1048768586954580000,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:11:56",
"content": "just didn't have enough table 💀",
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},
{
"id": 1048768654617100300,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:12:12",
"content": "thank uu <3 <3",
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},
{
"id": 1048768724515160200,
"author_id": 600921162796761100,
"author_name": "Jackiebruh",
"timestamp": "12/03/2022 20:12:29",
"content": ".close",
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{
"id": 1048768728285851800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/03/2022 20:12:30",
"content": "Channel closed",
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}
] | help-9 | f6f4cf43c84841728245c1f5cd9961d1 |
202,042 | [
{
"id": 1048786679340744700,
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"timestamp": "12/03/2022 21:23:49",
"content": "Available help channel!",
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},
{
"id": 1048787759864758300,
"author_id": 363169056804569100,
"author_name": "CalicoJackRackham",
"timestamp": "12/03/2022 21:28:07",
"content": "Anyone know where one can access J. Recreational Math., vol 21 1989 online?",
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},
{
"id": 1048787761756389400,
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"content": "Pinned a message.",
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"id": 1048788269225214000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/03/2022 21:30:08",
"content": "well z lib got taken down",
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},
{
"id": 1048788291035599000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/03/2022 21:30:14",
"content": "libgen is nice",
"attachments": [],
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"reference": null
},
{
"id": 1048788393066234000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/03/2022 21:30:38",
"content": "well you can still access z lib with tor but yeah, TOR",
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{
"id": 1048789799206662300,
"author_id": 363169056804569100,
"author_name": "CalicoJackRackham",
"timestamp": "12/03/2022 21:36:13",
"content": "thanks!",
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},
{
"id": 1048789863304011800,
"author_id": 363169056804569100,
"author_name": "CalicoJackRackham",
"timestamp": "12/03/2022 21:36:28",
"content": ".close",
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"id": 1048789867619954800,
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"content": "Channel closed",
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}
] | help-9 | 1d4413a8c85342af892fa22ea1e8d575 |
202,043 | [
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"content": "Available help channel!",
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},
{
"id": 1048815924897120300,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/03/2022 23:20:02",
"content": "Have to solve for theta in this trig problem and having some trouble. Anyone have any ideas.",
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"timestamp": "12/03/2022 23:20:03",
"content": "Pinned a message.",
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"id": 1048816049472159700,
"author_id": 263371647925354500,
"author_name": "khku",
"timestamp": "12/03/2022 23:20:32",
"content": "i added my vectors and found <r,theta> by using arctan and the pythagoreom theorem but was incorrect if anyone could do this and see what i did wrong please lmk",
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"author_id": 732685167797207300,
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"timestamp": "12/03/2022 23:21:27",
"content": "i think you meant to open a new channel @khku",
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"timestamp": "12/03/2022 23:21:39",
"content": "oh",
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"timestamp": "12/03/2022 23:21:42",
"content": "mb",
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"id": 1048816356226777200,
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"timestamp": "12/03/2022 23:21:45",
"content": "ur good",
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},
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"id": 1048816391249207400,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/03/2022 23:21:53",
"content": "anyways",
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},
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"id": 1048816414938640400,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/03/2022 23:21:59",
"content": "-------------------",
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},
{
"id": 1048816437428494300,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/03/2022 23:22:04",
"content": "Have to solve for theta in this trig problem and having some trouble. Anyone have any ideas.",
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"id": 1048820213514248300,
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"timestamp": "12/03/2022 23:37:05",
"content": "@davis Has your question been resolved?",
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"id": 1048820724921532400,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/03/2022 23:39:06",
"content": "@Helpers if anyone is available would appreciate it",
"attachments": [],
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"reference": null
},
{
"id": 1048821537769259100,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/03/2022 23:42:20",
"content": "",
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"id": 1048821554424840200,
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"author_name": "davis",
"timestamp": "12/03/2022 23:42:24",
"content": "heres it written a little more clear",
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},
{
"id": 1048826548817498200,
"author_id": 732685167797207300,
"author_name": "davis",
"timestamp": "12/04/2022 00:02:15",
"content": "nevermind i figured it out, hard problem tho. no real solutions for theta as there is a negative squareoot in the final solution",
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"id": 1048827691589193700,
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"timestamp": "12/04/2022 00:06:47",
"content": ".close",
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},
{
"id": 1048827694734901400,
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"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 00:06:48",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 3bc2d1a100a3441696c494579225bf01 |
202,044 | [
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"timestamp": "12/04/2022 00:27:30",
"content": "Available help channel!",
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},
{
"id": 1048833778996494500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "12/04/2022 00:30:59",
"content": "Why does the anti-derivative function of these two graphs not touch at x1, (x2 for the 2nd one) ?",
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"timestamp": "12/04/2022 00:30:59",
"content": "Pinned a message.",
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"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 00:31:49",
"content": "one of the anti-derivative functions could",
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"author_name": "hibyehibye",
"timestamp": "12/04/2022 00:31:52",
"content": "its just not included",
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"timestamp": "12/04/2022 00:45:59",
"content": "@Jun♾ Has your question been resolved?",
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"timestamp": "12/04/2022 00:46:25",
"content": "I see",
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"timestamp": "12/04/2022 00:46:46",
"content": "Ok thx",
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},
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"id": 1048837759541989400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "12/04/2022 00:46:48",
"content": ".close",
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},
{
"id": 1048837762893217800,
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"timestamp": "12/04/2022 00:46:49",
"content": "Channel closed",
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}
] | help-9 | c201a02adf5a481f9889279f40467e77 |
202,045 | [
{
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"timestamp": "12/04/2022 00:47:49",
"content": "Available help channel!",
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},
{
"id": 1048839798594490400,
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"author_name": "notzeussz",
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"content": "Pinned a message.",
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"author_id": 457413153584840700,
"author_name": "notzeussz",
"timestamp": "12/04/2022 00:56:25",
"content": "Why is it B?",
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},
{
"id": 1048843314906021900,
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"author_name": "notzeussz",
"timestamp": "12/04/2022 01:08:52",
"content": "@Helpers",
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"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 01:23:53",
"content": "@notzeussz Has your question been resolved?",
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"author_name": "notzeussz",
"timestamp": "12/04/2022 01:31:36",
"content": "The sum of degrees of a graph can’t be odd",
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"id": 1048849069713412200,
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"author_name": "notzeussz",
"timestamp": "12/04/2022 01:31:44",
"content": "But why is there a solution?",
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"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 02:01:45",
"content": "@notzeussz Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | de45ec49ab1a487d82d6d4a2cec7ea0f |
202,046 | [
{
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"timestamp": "12/04/2022 03:11:34",
"content": "Available help channel!",
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"id": 1048876100484350000,
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"author_name": "khku",
"timestamp": "12/04/2022 03:19:09",
"content": "can someone assist me with this",
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"content": "Pinned a message.",
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"timestamp": "12/04/2022 03:29:12",
"content": ".close",
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"id": 1048878633680371700,
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"content": "Channel closed",
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}
] | help-9 | 64b4ebaedcd845608982f4828fed51e2 |
202,047 | [
{
"id": 1048878885527355400,
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"timestamp": "12/04/2022 03:30:13",
"content": "Available help channel!",
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},
{
"id": 1048883339395862500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 03:47:55",
"content": "Pinned a message.",
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"id": 1048883613703344100,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "12/04/2022 03:49:00",
"content": "can you be more specific",
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"id": 1048884006105653200,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "12/04/2022 03:50:34",
"content": "probably 360",
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{
"id": 1048884277732986900,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "12/04/2022 03:51:39",
"content": "i’m still unsure exactly what we’re working with\ndo you have an specific question in mind",
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"id": 1048885258902327300,
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"author_name": "maximo",
"timestamp": "12/04/2022 03:55:33",
"content": "you could use 180 or 360 if you’re just taking its tangent",
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"id": 1048885317710643300,
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"author_name": "maximo",
"timestamp": "12/04/2022 03:55:47",
"content": "in fact you can use any multiple of 180",
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"id": 1048885465912193000,
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"timestamp": "12/04/2022 03:56:22",
"content": "Channel closed",
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}
] | help-9 | 8a70120e24e742c98e52ac80c66a1346 |
202,048 | [
{
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"content": "Available help channel!",
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},
{
"id": 1048895738173718500,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "12/04/2022 04:37:11",
"content": "hello is this true?: a iff b and a iff c then b iff c?",
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"id": 1048896352169509000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/04/2022 04:39:37",
"content": "yea?",
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"id": 1048896778298212400,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "12/04/2022 04:41:19",
"content": "ok thx",
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},
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"id": 1048896781095796700,
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"author_name": "b3s4d",
"timestamp": "12/04/2022 04:41:20",
"content": ".close",
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},
{
"id": 1048896783692091400,
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"timestamp": "12/04/2022 04:41:20",
"content": "Channel closed",
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}
] | help-9 | 2f2096471de044f4ba9c5c18bf377fb5 |
202,049 | [
{
"id": 1048896795243200600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/04/2022 04:41:23",
"content": "what does iff mean",
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},
{
"id": 1048896854873616400,
"author_id": 341586602503569400,
"author_name": "CST",
"timestamp": "12/04/2022 04:41:37",
"content": "if and only if",
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},
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"id": 1048896860749840500,
"author_id": 876451766454067200,
"author_name": "Larxuss",
"timestamp": "12/04/2022 04:41:39",
"content": "if and only if",
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},
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"id": 1048896923551154200,
"author_id": 896755250092998800,
"author_name": "b3s4d",
"timestamp": "12/04/2022 04:41:54",
"content": "i think he knows that guys",
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"id": 1048898269390045200,
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"timestamp": "12/04/2022 04:47:15",
"content": "Available help channel!",
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},
{
"id": 1048898405222588400,
"author_id": 515735056309026800,
"author_name": "[M]",
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"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 04:47:48",
"content": "Pinned a message.",
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"id": 1048898418422059000,
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"author_name": "[M]",
"timestamp": "12/04/2022 04:47:50",
"content": "Part c",
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{
"id": 1048898437413875800,
"author_id": 515735056309026800,
"author_name": "[M]",
"timestamp": "12/04/2022 04:47:55",
"content": "Need help",
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},
{
"id": 1048898478161535000,
"author_id": 515735056309026800,
"author_name": "[M]",
"timestamp": "12/04/2022 04:48:04",
"content": "Completely lost",
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"id": 1048902254024999000,
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"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 05:03:05",
"content": "@[M] Has your question been resolved?",
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"id": 1048905674727370900,
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"timestamp": "12/04/2022 05:16:40",
"content": "@Helpers",
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"id": 1048913225741250600,
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"timestamp": "12/04/2022 05:46:40",
"content": "@[M] Has your question been resolved?",
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"timestamp": "12/04/2022 06:48:12",
"content": "@[M] Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | ed12b1c1fa2f443584d825f90775b8cf |
202,050 | [
{
"id": 1048944062230704300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 07:49:12",
"content": "Available help channel!",
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},
{
"id": 1048944562598576100,
"author_id": 713969905262788700,
"author_name": "Onanay",
"timestamp": "12/04/2022 07:51:12",
"content": "how do you integrate\n ((v-1)(v+2))/v",
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},
{
"id": 1048944564804788400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 07:51:12",
"content": "Pinned a message.",
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"id": 1048944687920189400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/04/2022 07:51:42",
"content": "Expand (v - 1)(v + 2), divide each term by v, apply power rule for integration",
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},
{
"id": 1048944952039715000,
"author_id": 820404383346589700,
"author_name": "ahmad.https",
"timestamp": "12/04/2022 07:52:45",
"content": "I am Jose Mourinho",
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},
{
"id": 1048946603840516100,
"author_id": 206726591579947000,
"author_name": "Survolt",
"timestamp": "12/04/2022 07:59:18",
"content": "power rule wont be applied everywhere",
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"id": 1048946661407346800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/04/2022 07:59:32",
"content": "Yeah they'll get ln|v| somewhere",
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"timestamp": "12/04/2022 08:06:12",
"content": "@Onanay Has your question been resolved?",
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"timestamp": "12/04/2022 08:21:12",
"content": "Channel closed",
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}
] | help-9 | 7c7354dede8b473ca9b37c77c993562b |
202,051 | [
{
"id": 1034226566797996200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/24/2022 18:07:08",
"content": "Available help channel!",
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},
{
"id": 1034226993773940700,
"author_id": 983617657385414700,
"author_name": "suwicidal_petals",
"timestamp": "10/24/2022 18:08:50",
"content": "Is this correct? If not can you tell me the part where i get it wrong?",
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{
"id": 1034226995816583300,
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"timestamp": "10/24/2022 18:08:50",
"content": "Pinned a message.",
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"content": "Because when i was graphing it the the biggest altitude is big enought to make it a triangle",
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"content": "Plss",
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"content": "@suwicidal_petals Has your question been resolved?",
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] | help-9 | 7bd55c114ac44551a2743acadf31819a |
202,052 | [
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"content": "Trying to graph and equation on a line but (0,16) is way too high for my graph and whenever I try divide -8y it doesn’t give me a accurate reading on the graph",
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"author_name": "Survolt",
"timestamp": "12/04/2022 08:30:24",
"content": "take values of x as -1 , 0 , 1",
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"content": "u can also take -2 and 2",
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"timestamp": "12/04/2022 08:31:16",
"content": "then plot the graph",
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"content": "im not sure how you got (0,16), because when u put 0 in place of x in the equation, y = -2",
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"timestamp": "12/04/2022 08:32:24",
"content": "so it should instead be (0,-2)",
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"content": "which is easily plottable",
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"author_name": "sarahsokool",
"timestamp": "12/04/2022 08:34:21",
"content": "Yeah I see that replacing either x or y be zero to get the points on the graph is a way but I’m looking at the slope of a line in which (y=mx+b) in which m is the slop -4/1 and the b is the point that crosses the y axis (0,16)",
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"content": "in y=mx+b, m is the gradient and b is the point touching the y axis",
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"content": "this only holds true when the coefficient of y is 1",
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"timestamp": "12/04/2022 08:36:21",
"content": "in the original question, the coefficient of y is -8",
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"timestamp": "12/04/2022 08:37:48",
"content": "Yeah that’s why I thought I could divide -8y but it doesn’t work",
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"timestamp": "12/04/2022 08:39:19",
"content": "I wanted to solve it in the form of y=mx+b is there a way to reduce -8y to y",
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"timestamp": "12/04/2022 08:39:58",
"content": "yes",
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"timestamp": "12/04/2022 08:40:05",
"content": "u divide both sides by -8",
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"timestamp": "12/04/2022 08:40:31",
"content": "the -8 with y gets cancelled, and the right hand side gets divided by -8",
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"timestamp": "12/04/2022 08:40:55",
"content": "I did but this didn’t work idk",
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"timestamp": "12/04/2022 08:41:02",
"content": "I’ll try again",
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"timestamp": "12/04/2022 08:41:16",
"content": "dont divide by -8y",
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"timestamp": "12/04/2022 08:41:20",
"content": "divide only by -8",
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"author_name": "Benji",
"timestamp": "12/04/2022 08:42:46",
"content": "remember the distributive property when u divide right hand side",
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"timestamp": "12/04/2022 08:45:50",
"content": "Oh yep I got it thanks guy",
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"timestamp": "12/04/2022 08:45:53",
"content": "Guys",
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"timestamp": "12/04/2022 08:46:03",
"content": "Thanks benji",
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"timestamp": "12/04/2022 09:01:04",
"content": "@sarahsokool Has your question been resolved?",
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] | help-9 | 1caa7a3c6773402181df61cec249b035 |
202,053 | [
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"content": "how do i start this",
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"content": ".close",
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] | help-9 | 72de2427da1d4a219d060825fb400d82 |
202,054 | [
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"content": "Available help channel!",
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},
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] | help-9 | 2ad2a52b845f4097a4c5a8e8b1729a06 |
202,055 | [
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"timestamp": "12/04/2022 10:19:42",
"content": "Hi whos in set 1 im there classes or grade 9 or the best dm me",
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"content": "@Kepe Has your question been resolved?",
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] | help-9 | 9529156a1c9a415cbda2c43edd6269a1 |
202,056 | [
{
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"content": "Available help channel!",
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},
{
"id": 1048986482821583000,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/04/2022 10:37:46",
"content": "How does this work?",
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"content": "Pinned a message.",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/04/2022 10:39:13",
"content": "$\\sqrt{n + 1} - \\sqrt{n} = \\frac{(\\sqrt{n + 1} - \\sqrt{n})(\\sqrt{n + 1} + \\sqrt{n})}{\\sqrt{n + 1} + \\sqrt{n}} = \\frac{n + 1 - n}{\\sqrt{n + 1} + \\sqrt{n}} = \\frac{1}{\\sqrt{n + 1} + \\sqrt{n}}$",
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"author_name": "TeXit",
"timestamp": "12/04/2022 10:40:35",
"content": "**A Lonely Bean**",
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"timestamp": "12/04/2022 10:42:00",
"content": "thanks a lot",
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"id": 1048990839738749000,
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"timestamp": "12/04/2022 10:55:05",
"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | 6002817c108e466e98025f53a11cf3ba |
202,057 | [
{
"id": 1048992314607030400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 11:00:57",
"content": "Available help channel!",
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},
{
"id": 1048992434975158400,
"author_id": 198410655869435900,
"author_name": "madmike",
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"id": 1048992437495935100,
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"timestamp": "12/04/2022 11:01:26",
"content": "Pinned a message.",
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"id": 1048992487412355200,
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"timestamp": "12/04/2022 11:01:38",
"content": "lim_n->infty c_n",
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},
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"id": 1048992521562378200,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/04/2022 11:01:46",
"content": "this is an impossible challenge :NervousSweat:",
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},
{
"id": 1048992544085770200,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/04/2022 11:01:51",
"content": "can I get a small hint maybe?",
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},
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"id": 1048997259330719700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 11:20:36",
"content": "@madmike Has your question been resolved?",
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"id": 1049005819729035400,
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"timestamp": "12/04/2022 11:54:37",
"content": "@madmike Has your question been resolved?",
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{
"id": 1049007146076999800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "12/04/2022 11:59:53",
"content": "same q in #help-27｜sigma",
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},
{
"id": 1049007204281356400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "12/04/2022 12:00:07",
"content": "$x^n+y^n<y^n+y^n$",
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},
{
"id": 1049007216331591800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/04/2022 12:00:09",
"content": "**Toby**",
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"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 12:54:55",
"content": "@madmike Has your question been resolved?",
"attachments": [],
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"id": 1049031668163424400,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/04/2022 13:37:19",
"content": "hahah that's funny",
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},
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"id": 1049031919242850400,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/04/2022 13:38:19",
"content": "thank you very much",
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},
{
"id": 1049031930953343000,
"author_id": 198410655869435900,
"author_name": "madmike",
"timestamp": "12/04/2022 13:38:22",
"content": ".close",
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},
{
"id": 1049031933792899200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 13:38:23",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 0eb40350d7e144c0a3a28317595b74ea |
202,058 | [
{
"id": 1049032186738774000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 13:39:23",
"content": "Available help channel!",
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},
{
"id": 1049033249038553200,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
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"content": "hello",
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},
{
"id": 1049033251215396900,
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"content": "How do I solve 4x^3 = 32",
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},
{
"id": 1049033476806017200,
"author_id": 481266434635202560,
"author_name": "KillerWhale2498",
"timestamp": "12/04/2022 13:44:30",
"content": "solve for x?",
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},
{
"id": 1049033486129963100,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/04/2022 13:44:33",
"content": "Isolate x^3",
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},
{
"id": 1049033500046655600,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "12/04/2022 13:44:36",
"content": "First",
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},
{
"id": 1049033565473603600,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:44:52",
"content": "x = what",
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},
{
"id": 1049033599409729700,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:45:00",
"content": "divide by 4 then cube root",
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},
{
"id": 1049033993330364500,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:46:34",
"content": "so now i have x^3 = 8",
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},
{
"id": 1049034159231873000,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:47:13",
"content": "ye",
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},
{
"id": 1049034168291561600,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:47:15",
"content": "cubed root of 8",
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},
{
"id": 1049034188982075400,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:47:20",
"content": "= x",
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},
{
"id": 1049034237749235800,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:47:32",
"content": "? what",
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},
{
"id": 1049034401348079600,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:48:11",
"content": "whats the cubed root of 8",
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},
{
"id": 1049034457153273900,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:48:24",
"content": "hold on",
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},
{
"id": 1049034756454629400,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:49:36",
"content": "i dont understand",
"attachments": [],
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},
{
"id": 1049034830056259700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/04/2022 13:49:53",
"content": "You don't know what a cube root is?",
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},
{
"id": 1049034956866867300,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:50:23",
"content": "I have it on swedish my whole life so i never did english math",
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},
{
"id": 1049035142829719700,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:51:08",
"content": "$\\sqrt[3]{8}$",
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},
{
"id": 1049035154179489800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/04/2022 13:51:10",
"content": "**hibyehibye**",
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"id": 1049035159053287400,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:51:12",
"content": "whats this",
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},
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"id": 1049035442399490000,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:52:19",
"content": "im not sure actually",
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{
"id": 1049035592400379900,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:52:55",
"content": "We say the cube root of 27 is 3 because 3 x 3 x 3 is 27",
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{
"id": 1049035630044270600,
"author_id": 1048823396781273100,
"author_name": "hibyehibye",
"timestamp": "12/04/2022 13:53:04",
"content": "https://www.youtube.com/watch?v=87_qIofPwhg",
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"id": 1049035746872393900,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:53:32",
"content": "that's true",
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"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:53:42",
"content": "Okay so what would that make the cube root of 8",
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},
{
"id": 1049035848391348400,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:53:56",
"content": "Try to think of a number you times by itself 3 times to get 8",
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"id": 1049036448378147000,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:56:19",
"content": "I don't",
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},
{
"id": 1049036457228124300,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:56:21",
"content": "know",
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},
{
"id": 1049036759725523100,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:57:33",
"content": "What is 2 x 2 x 2",
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},
{
"id": 1049036915233530000,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:58:10",
"content": "I'm not awake im sorry",
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},
{
"id": 1049036955427553400,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:58:20",
"content": "What’s 2 x 2",
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},
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"id": 1049037131705745400,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:59:02",
"content": "it is 8",
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"id": 1049037156376649900,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:59:08",
"content": "Yes",
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},
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"id": 1049037241579737200,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:59:28",
"content": "Okay so now I will ask you again what is the cube root of 8",
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},
{
"id": 1049037291378720800,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 13:59:40",
"content": "2",
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},
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"id": 1049037311570104300,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 13:59:45",
"content": "Indeed",
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},
{
"id": 1049037413999198200,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 14:00:09",
"content": "so x = 2",
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},
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"id": 1049037467875029100,
"author_id": 527810341497733100,
"author_name": "MARTIN",
"timestamp": "12/04/2022 14:00:22",
"content": "Yes",
"attachments": [],
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},
{
"id": 1049037563677126700,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 14:00:45",
"content": "thanks",
"attachments": [],
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},
{
"id": 1049038243838054400,
"author_id": 412639017851551740,
"author_name": "Yaasos50",
"timestamp": "12/04/2022 14:03:27",
"content": "close.",
"attachments": [],
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"reference": null
},
{
"id": 1049042019651166200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 14:18:27",
"content": "@Yaasos50 Has your question been resolved?",
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},
{
"id": 1049045796634505200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 14:33:28",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 563273226771485ea9dbb0d52ba08b36 |
202,059 | [
{
"id": 1049046049471336600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 14:34:28",
"content": "Available help channel!",
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},
{
"id": 1049047580442636400,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:40:33",
"content": "",
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"id": 1049047582694981600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/04/2022 14:40:34",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1049047580442636400,
"channelId": 486844875632017400,
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{
"id": 1049047591305875500,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:40:36",
"content": "Probability",
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},
{
"id": 1049047746323152900,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:41:13",
"content": "so part A i got it right 9 x 8 x 7 x 6",
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},
{
"id": 1049047762773233700,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:41:17",
"content": "which is right",
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},
{
"id": 1049047785418264700,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:41:22",
"content": "part B i got 9 x 8 x 7 x 5",
"attachments": [],
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},
{
"id": 1049047804393291800,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:41:26",
"content": "but apparently its 8 x 7 x 6 x 5?",
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},
{
"id": 1049047905081774100,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "12/04/2022 14:41:50",
"content": "yep",
"attachments": [],
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},
{
"id": 1049047966486380500,
"author_id": 825620400154083300,
"author_name": "Lerena",
"timestamp": "12/04/2022 14:42:05",
"content": "So why is it 8 x 7 x 6 x 5",
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},
{
"id": 1049048188864172200,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "12/04/2022 14:42:58",
"content": "pick your odd digit first, 5 choices.\nthe pick the first digit, 8 choices (since you picked one digit already)\nkeep going gets you 7 and 6",
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},
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"id": 1049048431873761400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "12/04/2022 14:43:56",
"content": "picking your first digit first (which is where the 9 comes from) means it could be even or odd, if it's odd then there aren't 5 possibilities for the last digit. So counting it that way becomes complicated",
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"timestamp": "12/04/2022 14:44:35",
"content": "so because we have the last digit as odd",
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"content": "we make the first one 8",
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"timestamp": "12/04/2022 14:45:02",
"content": "because one of the odd numbers is used last",
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"timestamp": "12/04/2022 14:45:07",
"content": "we get one less possibility i guess?",
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"timestamp": "12/04/2022 14:45:13",
"content": "Okayy i see",
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"timestamp": "12/04/2022 14:45:19",
"content": "What about part c?",
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"timestamp": "12/04/2022 14:45:24",
"content": "It's also 8 x 7 x 6 x 5 right?",
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"timestamp": "12/04/2022 14:46:26",
"content": "basically instead of counting it as first - second - third - fourth, count it as fourth - first - second - third since there is a restriction on what the 4th digit can be",
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"timestamp": "12/04/2022 14:46:58",
"content": "so you get 5 * 8 * 7 * 6 odd numbers",
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"timestamp": "12/04/2022 14:47:10",
"content": "and yes, c would be the same",
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"timestamp": "12/04/2022 14:47:19",
"content": "Ah okay so my teacher did it wrong",
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"timestamp": "12/04/2022 14:47:23",
"content": "he said its 8 x 7 x 6 x 4",
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"timestamp": "12/04/2022 14:47:29",
"content": "but i think he only counted 2, 4, 6, 8 as even",
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"timestamp": "12/04/2022 14:47:31",
"content": "but also 0 is even too",
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"timestamp": "12/04/2022 14:47:42",
"content": "oh, yeah nvm 4 is right",
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"timestamp": "12/04/2022 14:47:50",
"content": "only using the numbers 1-9, so you don't have 0",
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"timestamp": "12/04/2022 14:47:50",
"content": "oh-",
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"id": 1049049491740835800,
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"timestamp": "12/04/2022 14:48:09",
"content": "LMAO IM STUPID",
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"timestamp": "12/04/2022 14:48:10",
"content": "SHUSH",
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"timestamp": "12/04/2022 14:48:11",
"content": "okay",
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"id": 1049049506274083000,
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"timestamp": "12/04/2022 14:48:12",
"content": "Yeah-",
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"id": 1049049531175669800,
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"author_name": "Lerena",
"timestamp": "12/04/2022 14:48:18",
"content": "oh my god i thought i was smarter than teacher for once 😭",
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"content": "if 0 was a possibility, then you'd be correct lol",
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"timestamp": "12/04/2022 14:48:34",
"content": "AHhh okay",
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"timestamp": "12/04/2022 14:48:36",
"content": "TYSM ❤️",
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"content": "@Lerena Has your question been resolved?",
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"content": ".close",
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] | help-9 | 697c306e8d204ee6972d86ef76a565f0 |
202,060 | [
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"content": "ok so I'm stuck",
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"content": "cus like there's gonna end up being zeroes and all that fun stuff but like idk where to go from here, it'll just be a bunch of horizontal tangent lines (i went and graphed it) and I gotta show that on paper",
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"content": "Ok so like me making cos2x=cosx wouldn't help me here now would it",
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] | help-9 | 9f2f02c528224300892b6ed38ef55707 |
202,061 | [
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] | help-9 | 07d5a19f54bf4591aad051cbc4be218f |
202,062 | [
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] | help-9 | 53b4636a76d54495aed9071d901dc21a |
202,063 | [
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"timestamp": "12/04/2022 15:58:22",
"content": "I’m doing #17",
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"timestamp": "12/04/2022 15:58:56",
"content": "I put in my calculator tan-1 (270/100)",
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"timestamp": "12/04/2022 15:59:04",
"content": "And I get 69.67",
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"timestamp": "12/04/2022 15:59:09",
"content": "Which is the wrong answer",
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"timestamp": "12/04/2022 15:59:12",
"content": "I’m in degree mode",
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"timestamp": "12/04/2022 16:14:12",
"content": "@Smashfielder Has your question been resolved?",
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"timestamp": "12/04/2022 16:14:27",
"content": "@Helpers",
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"id": 1049073830871707800,
"author_id": 906340011182534700,
"author_name": "Kya",
"timestamp": "12/04/2022 16:24:52",
"content": "try radians and replace $\\pi$ with 180",
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"timestamp": "12/04/2022 16:25:09",
"content": "**Mathematician? probably**",
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"content": "if your calculator didnt do that",
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"content": "which i assume it didnt since its the wrong answer",
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"timestamp": "12/04/2022 16:27:14",
"content": "didn’t work either",
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] | help-9 | 3eff3c560ea24f5d8277486498e9ed2b |
202,064 | [
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"timestamp": "12/04/2022 19:01:48",
"content": "I solved for the quadratic formula however I’m now wondering where I should go and if I solved it incorrectly since taking the reciprocal of the vertex form gave me a different graph than what was presented on the sheet",
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"timestamp": "12/04/2022 19:11:02",
"content": "@Helpers",
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"timestamp": "12/04/2022 19:18:52",
"content": "you plugged in the maximum of g(x) when you are looking for the max/min of f(x)",
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"timestamp": "12/04/2022 19:20:09",
"content": "you can start by observing some features about g(x) and also rearranging to have f(x) as the subject",
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"timestamp": "12/04/2022 19:21:12",
"content": "Ok",
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"timestamp": "12/04/2022 19:22:10",
"content": "What I was trying to do was solve for f(x) then take the reciprocal",
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"timestamp": "12/04/2022 19:22:18",
"content": "To get the answer would that be wrong?",
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"timestamp": "12/04/2022 19:22:43",
"content": "you mean solve for g(x)?",
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"timestamp": "12/04/2022 19:22:54",
"content": "well it wouldn't be wrong by any means but very difficult",
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"timestamp": "12/04/2022 19:23:16",
"content": "it's not a quadratic graph and you are trying to find the function as if it is one",
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"timestamp": "12/04/2022 19:23:28",
"content": "oh",
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"timestamp": "12/04/2022 19:23:42",
"content": "What would an easier method of solving this be then",
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"content": "I assumed it wanted me to do that since it provided me with the vertex and y int",
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"timestamp": "12/04/2022 19:24:29",
"content": "first what do you notice about the graph given",
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"timestamp": "12/04/2022 19:24:55",
"content": "Well",
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"content": "It’s a reciprocal function so it never touches the horizontal asymptote",
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"timestamp": "12/04/2022 19:25:28",
"content": "It’s vertex is (2,4)",
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"timestamp": "12/04/2022 19:25:49",
"content": "good",
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"timestamp": "12/04/2022 19:25:54",
"content": "so it's always positive right",
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"timestamp": "12/04/2022 19:26:06",
"content": "for any given x",
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"timestamp": "12/04/2022 19:26:25",
"content": "Y is never negative yea",
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"timestamp": "12/04/2022 19:27:02",
"content": "also we have the fact that f(x) = 1/g(x) right",
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"timestamp": "12/04/2022 19:27:23",
"content": "we know g(x) is always positive",
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"timestamp": "12/04/2022 19:27:31",
"content": "so when will f(x) be largest",
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"timestamp": "12/04/2022 19:27:39",
"content": "and will it be smallest",
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"timestamp": "12/04/2022 19:28:30",
"content": "I’m not sure",
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"timestamp": "12/04/2022 19:30:12",
"content": "im not looking for a number answer",
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"timestamp": "12/04/2022 19:30:35",
"content": "just for the magnitude of g(x) for the smallest f(x)",
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"timestamp": "12/04/2022 19:30:47",
"content": "for example consider this expression",
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"timestamp": "12/04/2022 19:30:47",
"content": "1/a",
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"timestamp": "12/04/2022 19:30:55",
"content": "a is always positive",
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"timestamp": "12/04/2022 19:31:06",
"content": "what values of a give larger numbers and what values get smaller numbers",
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"timestamp": "12/04/2022 19:32:07",
"content": "Smaller numbers give you larger points",
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"timestamp": "12/04/2022 19:32:25",
"content": "correct",
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"timestamp": "12/04/2022 19:32:27",
"content": "and visa versa",
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"timestamp": "12/04/2022 19:32:39",
"content": "now g(x) only has a maximum and no minimum right",
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"timestamp": "12/04/2022 19:32:50",
"content": "Yes",
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"timestamp": "12/04/2022 19:33:01",
"content": "which means f(x) will have a minimum at that same x value",
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"timestamp": "12/04/2022 19:33:13",
"content": "because the value of g(x) is largest there we get the smallest value for f(x)",
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"timestamp": "12/04/2022 19:33:27",
"content": "so we get the min vertex of f(x) is (2, 1/4)",
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"timestamp": "12/04/2022 19:33:38",
"content": "because f(2) = 1/g(2) = 1/4",
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"timestamp": "12/04/2022 19:33:49",
"content": "Oh",
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"timestamp": "12/04/2022 19:34:17",
"content": "so now you can write a vertex form for f(x)",
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"timestamp": "12/04/2022 19:34:21",
"content": "and then use the y-intercept to solve for a",
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"timestamp": "12/04/2022 19:34:53",
"content": "Ok",
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"timestamp": "12/04/2022 19:34:56",
"content": "One question",
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"timestamp": "12/04/2022 19:35:13",
"content": "In my work did I solve for the vertex form incorrectly",
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"timestamp": "12/04/2022 19:35:19",
"content": "and if so what did I do wrong?",
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"timestamp": "12/04/2022 19:35:34",
"content": "you tried to solve for the vertex of g(x)",
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"timestamp": "12/04/2022 19:35:43",
"content": "but that is for quadratic equation",
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"timestamp": "12/04/2022 19:35:47",
"content": "g(x) is not quadratic",
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"timestamp": "12/04/2022 19:36:05",
"content": "Oh",
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"timestamp": "12/04/2022 19:36:32",
"content": "Your right I’m not sure why I did that I guess I assumed both functions were quadratic for some reason",
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"timestamp": "12/04/2022 19:36:34",
"content": "what you solved for would be a quadratic that does have the features you gave it",
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"timestamp": "12/04/2022 19:36:47",
"content": "yeah the reciprocal of a quadratic will not be quadratic",
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"timestamp": "12/04/2022 19:37:02",
"content": "you can pretty much see it does not match the description just from the graph provided tho",
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"timestamp": "12/04/2022 19:37:14",
"content": "Yeah it doesn’t",
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"timestamp": "12/04/2022 19:43:12",
"content": "Do you think you could also explain how to do it using the method I was using since you said previously it wasn’t incorrect",
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"timestamp": "12/04/2022 19:45:47",
"content": "err well",
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"timestamp": "12/04/2022 19:45:58",
"content": "its not incorrect in a sense",
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"timestamp": "12/04/2022 19:46:01",
"content": "but it doesnt make sense to do",
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"timestamp": "12/04/2022 19:46:42",
"content": "anyway the first method is basically the same thing",
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"timestamp": "12/04/2022 19:47:35",
"content": "you are basically solving for g(x) but you are using the knowledge about quadratics and f(x) in the process",
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"timestamp": "12/04/2022 19:48:42",
"content": "I guess",
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"timestamp": "12/04/2022 19:49:08",
"content": "I’ll be real I’m still kind of confused",
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"timestamp": "12/04/2022 19:49:23",
"content": "what are you confused about",
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"timestamp": "12/04/2022 19:54:51",
"content": "Could you perhaps explain the method in steps that way I can kinda see what’s happening",
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"timestamp": "12/04/2022 19:57:52",
"content": "well its just using the knowledge of quadratics",
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"timestamp": "12/04/2022 19:58:11",
"content": "we have points on g(x) and we have f(x) = 1/g(x)",
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"timestamp": "12/04/2022 19:58:36",
"content": "we want to find the minimum point for f(x) which will happen when g(x) is largest",
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"timestamp": "12/04/2022 19:58:40",
"content": "g(x) is largest at x = 2",
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"timestamp": "12/04/2022 19:58:47",
"content": "to find the y value for f(x) we just plug in numbers",
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"timestamp": "12/04/2022 19:58:54",
"content": "f(2) = 1/g(2) = 1/4",
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"timestamp": "12/04/2022 19:58:59",
"content": "thats how we find the vertex of f(x)",
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"timestamp": "12/04/2022 20:09:51",
"content": "@Rene4747 Has your question been resolved?",
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"timestamp": "12/04/2022 20:24:52",
"content": "Channel closed",
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] | help-9 | 1c6484d541724de6b9a1f4e5056927e2 |
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