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201,265 | [
{
"id": 1036737541698748500,
"author_id": 995036243219992600,
"author_name": ". Abyss ⛧",
"timestamp": "10/31/2022 16:24:51",
"content": "Someone help me?",
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"id": 1036738113197846700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 16:27:07",
"content": "Available help channel!",
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},
{
"id": 1036738869879648400,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:30:08",
"content": "which is larger 1.01^1000 or 1000 can i get a hint as to how to do this without a calculator",
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{
"id": 1036738871905484800,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 16:30:08",
"content": "Pinned a message.",
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"id": 1036739320922509300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:31:55",
"content": "binomial theorem",
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{
"id": 1036740568199479400,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:36:53",
"content": "ah right mb",
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{
"id": 1036740923628994700,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:38:17",
"content": "there going to be a lot of terms tho",
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"id": 1036741019816964200,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:38:40",
"content": "how will i know that it will sum to > 1000",
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{
"id": 1036741063941038100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:38:51",
"content": "big hint: just the 6th term is sufficient",
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{
"id": 1036741118781563000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:39:04",
"content": "(because I checked on a calculator lmao)",
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},
{
"id": 1036741208111841300,
"author_id": 697831506936070300,
"author_name": "juan.",
"timestamp": "10/31/2022 16:39:25",
"content": "One question is this the same or does something change?",
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{
"id": 1036741248100335700,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:39:35",
"content": "thanks",
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},
{
"id": 1036741320749879300,
"author_id": 697831506936070300,
"author_name": "juan.",
"timestamp": "10/31/2022 16:39:52",
"content": "M =Dough\nV= Speed",
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{
"id": 1036742253818945500,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:43:35",
"content": "i think the second term proves it",
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{
"id": 1036742475123011600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:44:27",
"content": ",calc bionm(1000,2)*0.01^2",
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},
{
"id": 1036742543095898200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/31/2022 16:44:44",
"content": "The following error occured while calculating:\n`Error: Undefined function bionm`",
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},
{
"id": 1036742579414384600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:44:52",
"content": ",w binom(1000,2)*0.01^2",
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},
{
"id": 1036742634317815900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/31/2022 16:45:05",
"content": "Results provided by WolframAlpha",
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{
"id": 1036742662696485000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:45:12",
"content": "not quite big enough",
"attachments": [],
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},
{
"id": 1036742932784480300,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:46:16",
"content": "oh right i forgot its multiplied by 0.01^2",
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{
"id": 1036743065337077900,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:46:48",
"content": "but how an i supposed to figure it out without a calculator",
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{
"id": 1036743557974868100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:48:45",
"content": "well binomial coefficients are slightly smaller then 1000^n/n! (for small n)",
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{
"id": 1036743676707213300,
"author_id": 697831506936070300,
"author_name": "juan.",
"timestamp": "10/31/2022 16:49:14",
"content": ",w binom50*(34.72)^2",
"attachments": [],
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},
{
"id": 1036743793904468100,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:49:42",
"content": "lol",
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{
"id": 1036743815568036000,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:49:47",
"content": "still",
"attachments": [],
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},
{
"id": 1036743851685187600,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:49:56",
"content": "1000C2 is pretty big",
"attachments": [],
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},
{
"id": 1036744430704668800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:52:14",
"content": "0.01=1/100",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036744570127528100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:52:47",
"content": "so the nth term is approx 10^n/n!",
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},
{
"id": 1036744648229671000,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:53:05",
"content": "ah",
"attachments": [],
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},
{
"id": 1036744659889819600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:53:08",
"content": "and we see that 6 works",
"attachments": [],
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},
{
"id": 1036744690684416100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:53:16",
"content": "then check with the exact formula",
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},
{
"id": 1036744710741577900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "10/31/2022 16:53:20",
"content": "(or use 7 to be safe)",
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},
{
"id": 1036746183038734300,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "10/31/2022 16:59:11",
"content": ".close",
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},
{
"id": 1036746185962164200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 16:59:12",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | dd4d6f1d68a240638507aa0a3c9b8a67 |
201,266 | [
{
"id": 1071044594411786200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 07:28:50",
"content": "Available help channel!",
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},
{
"id": 1071044717963399300,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:29:19",
"content": "How do I change the formula g = 2*(H+ V0y(t))/ t^2 into a formula that will let me find time then final velocity",
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},
{
"id": 1071044720916181100,
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 07:29:20",
"content": "Pinned a message.",
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{
"id": 1071044735009042600,
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"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:29:23",
"content": "https://cdn.discordapp.com/attachments/1071041366748041216/1071041366882271292/image.png",
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{
"id": 1071044783822356500,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:29:35",
"content": "I just need help with getting the formula",
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},
{
"id": 1071047379584827400,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:39:54",
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"id": 1071047399537135600,
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"author_name": "aura",
"timestamp": "02/03/2023 07:39:59",
"content": "first one top right",
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"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:41:46",
"content": "how do I convert that to where I can solve for t",
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"id": 1071048382119952400,
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"author_name": "aura",
"timestamp": "02/03/2023 07:43:53",
"content": "that’s for you to do",
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"id": 1071048416949444600,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:44:01",
"content": "isolate t",
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"id": 1071048739805995100,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:45:18",
"content": "actually I think the teacher may have made a mistake?",
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"id": 1071048760462942300,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:45:23",
"content": "where",
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{
"id": 1071048924460220400,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:46:02",
"content": "the lab this is from uses the same exact numbers and scenario and gives a different answer for g",
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"id": 1071049001404743700,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:46:21",
"content": "I posted the images in the original help thread",
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"id": 1071049193445146800,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:47:06",
"content": "what do you mean? g is a given constant",
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{
"id": 1071049610904219800,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:48:46",
"content": "maybe I am looking at it wrong but how do you get a different g like g=9.81 in this question when in the lab you get a different answer",
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"id": 1071049740206227500,
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"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:49:17",
"content": "h is still 15",
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{
"id": 1071050135200616400,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:50:51",
"content": "in your lab you probably did an experiment to estimate G",
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"id": 1071050164715921400,
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"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:50:58",
"content": "yes",
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"id": 1071050208605126800,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:51:08",
"content": "yeah your g was a bad estimate",
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"id": 1071050535588876300,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:52:26",
"content": "unless your equation to find g is wrong",
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"id": 1071050568283455600,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:52:34",
"content": "g=2*(15+(-30)(.46))/.46^2 is the formula plugged in",
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"id": 1071051431018238000,
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"author_name": "aura",
"timestamp": "02/03/2023 07:56:00",
"content": "looks right",
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},
{
"id": 1071051453550039200,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:56:05",
"content": "just a bad estimate",
"attachments": [],
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},
{
"id": 1071051622169460900,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:56:45",
"content": "idk what to do",
"attachments": [],
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},
{
"id": 1071051656290111500,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:56:54",
"content": "did I mess up or is this just flawed?",
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{
"id": 1071052133388013600,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 07:58:47",
"content": "what was your experiment",
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"id": 1071052178233508000,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:58:58",
"content": "projectile motion",
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},
{
"id": 1071052242532180000,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:59:13",
"content": "1-D motion is what the prof called it",
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},
{
"id": 1071052262211850400,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 07:59:18",
"content": "same thing",
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"id": 1071052450439639200,
"author_id": 261009595831418880,
"author_name": "aura",
"timestamp": "02/03/2023 08:00:03",
"content": "nah like what did you do in it",
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{
"id": 1071052527258320900,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 08:00:21",
"content": "use the Phet sim for projectile motion",
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},
{
"id": 1071052551404929000,
"author_id": 384035214181007360,
"author_name": "Angery Shroud",
"timestamp": "02/03/2023 08:00:27",
"content": "plug in the numbers and that was it",
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"id": 1071052607830904800,
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"author_name": "aura",
"timestamp": "02/03/2023 08:00:40",
"content": "when i did an experiment like this my g was like 9.6 something it wasn’t that crazy far off like your 11.38",
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"author_name": "Angery Shroud",
"timestamp": "02/03/2023 08:01:36",
"content": "did you do this",
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"content": "i don’t remember what i did…",
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"author_name": "Angery Shroud",
"timestamp": "02/03/2023 08:02:58",
"content": "I might honestly take the L on this because I spent almost the entire night on this and I just want to take a shower and get what little sleep I can",
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"content": "just ignore what you got for the lab… and answer the question",
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"content": "you can take an L for the lab but a W for the questions",
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"content": "alright",
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"author_name": "Angery Shroud",
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"content": "derivative time",
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"content": "wait no",
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"content": "@aura do I do derivatives here or nah",
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"content": "no need you can just do algebra",
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"content": "ight",
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"content": "you’re given everything except t so you just isolate t",
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"content": "@aura thanks for the help I just had to use the quadratic",
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"content": ".close",
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"timestamp": "02/03/2023 08:16:46",
"content": "Channel closed",
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}
] | help-9 | 11c168d07a5d4ed18143f9cf19f333de |
201,267 | [
{
"id": 1071065721385271400,
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 08:52:47",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1071068088109367400,
"author_id": 1070614467882258600,
"author_name": "Mid",
"timestamp": "02/03/2023 09:02:11",
"content": "Could anyone help with this question?",
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"author_id": 692059999073206400,
"author_name": "GigaChad",
"timestamp": "02/03/2023 09:07:10",
"content": "find average of 60 and 80 that's 70",
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"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/03/2023 09:08:14",
"content": "Gigachad op",
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"author_name": "NEONPerseus",
"timestamp": "02/03/2023 09:09:10",
"content": "Kuturputur op",
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},
{
"id": 1071069854813134800,
"author_id": 1070614467882258600,
"author_name": "Mid",
"timestamp": "02/03/2023 09:09:12",
"content": "Tried to use that answer but didn't work",
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"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/03/2023 09:10:01",
"content": "Haha neonpersus op",
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"timestamp": "02/03/2023 09:10:24",
"content": "explain",
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"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/03/2023 09:10:43",
"content": "Speed(avg) is total dist/total timothy",
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"id": 1071070431504777200,
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"author_name": "Mid",
"timestamp": "02/03/2023 09:11:30",
"content": "Oh I got it, it was 68,57",
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"content": "",
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"id": 1071071216955297800,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "02/03/2023 09:14:37",
"content": "!show",
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{
"id": 1071071218091950200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 09:14:37",
"content": "Show your work, and if possible, explain where you are stuck.",
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{
"id": 1071071343807832200,
"author_id": 1045294334041403500,
"author_name": "Deadlocked",
"timestamp": "02/03/2023 09:15:07",
"content": "0.1 teared once =0.2\n0.2 teared = 0.4\nso on twenty times",
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"id": 1071071393401286700,
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"author_name": "Mid",
"timestamp": "02/03/2023 09:15:19",
"content": "So 0.20",
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},
{
"id": 1071071453098803200,
"author_id": 692059999073206400,
"author_name": "GigaChad",
"timestamp": "02/03/2023 09:15:33",
"content": "That is 10485.76 mm",
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},
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"id": 1071071774525108400,
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"author_name": "Mid",
"timestamp": "02/03/2023 09:16:50",
"content": "Thanks gigachad",
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"timestamp": "02/03/2023 09:17:52",
"content": "close if you are done @Mid",
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"content": "",
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"id": 1071072182731542500,
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"author_name": "Mid",
"timestamp": "02/03/2023 09:18:27",
"content": "HERE COMES THE NEXT ONE",
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},
{
"id": 1071072822723620900,
"author_id": 1070614467882258600,
"author_name": "Mid",
"timestamp": "02/03/2023 09:21:00",
"content": "Oh I managed to do it myself",
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},
{
"id": 1071072834723532800,
"author_id": 1070614467882258600,
"author_name": "Mid",
"timestamp": "02/03/2023 09:21:03",
"content": ".close",
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},
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"id": 1071072837797953500,
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 09:21:04",
"content": "Channel closed",
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}
] | help-9 | 45114826523c40f4a29f3a8547013869 |
201,268 | [
{
"id": 1071073089644929000,
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"content": "Available help channel!",
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},
{
"id": 1071074013901770800,
"author_id": 807523942554009600,
"author_name": "AZB",
"timestamp": "02/03/2023 09:25:44",
"content": "Hi so I am trying to find a function to model my beauty blender . The closest I've gotten is the following function is attached\nwith k=−0.1792\n, a=3.05\n and b=2.01",
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"content": "Pinned a message.",
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"timestamp": "02/03/2023 09:26:09",
"content": "but this is what I got so far",
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"content": "I need a function that would fit this beauty blender more accurately",
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},
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"id": 1071074587799982100,
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"timestamp": "02/03/2023 09:28:01",
"content": "@Helpers",
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"id": 1071075603568148500,
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"author_name": "NEONPerseus",
"timestamp": "02/03/2023 09:32:03",
"content": "Looks parabolic",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "02/03/2023 09:32:15",
"content": "But that's what you've done already",
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"content": ":thonkeyes:",
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"timestamp": "02/03/2023 09:43:01",
"content": "@AZB Has your question been resolved?",
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"timestamp": "02/03/2023 09:43:09",
"content": "nope",
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"id": 1071084728691724300,
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"timestamp": "02/03/2023 10:08:19",
"content": "how do I improve it",
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"content": "@Helpers",
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"timestamp": "02/03/2023 10:53:12",
"content": "@AZB Has your question been resolved?",
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"timestamp": "02/03/2023 11:57:37",
"content": "@AZB Has your question been resolved?",
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"timestamp": "02/03/2023 14:01:06",
"content": "@AZB Has your question been resolved?",
"attachments": [],
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"timestamp": "02/03/2023 16:01:06",
"content": "Channel closed",
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}
] | help-9 | 509f6df78e6e462eb9757590ed495b4f |
201,269 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 16:02:06",
"content": "Available help channel!",
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},
{
"id": 1071175255692943600,
"author_id": 618565356876988400,
"author_name": "JavaMan84",
"timestamp": "02/03/2023 16:08:02",
"content": "Is there a mathematical way to turn this decimal approximation of 1.1009173716 into the algebraic value? (The algraphic value was obtained through guessing)",
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"content": "Pinned a message.",
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"id": 1071178328758833300,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 16:20:15",
"content": "$\\sqrt{1+\\sqrt{\\frac{4}{3}}}=\\sqrt{a}+\\sqrt{b} \\Rightarrow 1+\\sqrt{\\frac{4}{3}} =a+b+\\sqrt{4ab}$. Setting same degree terms equal, we get $a+b=1$ and $ab=\\frac{1}{3}$. Solving, we find that",
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{
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"timestamp": "02/03/2023 16:20:17",
"content": "**kappa**",
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"timestamp": "02/03/2023 16:21:08",
"content": "a and b are complex tell me what I did wrong",
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"timestamp": "02/03/2023 16:27:10",
"content": ",w solve over rationals sqrt(1+sqrt(4/3))=sqrt(a)+sqrt(b)",
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"id": 1071180081508130800,
"author_id": 510789298321096700,
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"timestamp": "02/03/2023 16:27:12",
"content": "Results provided by WolframAlpha",
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"timestamp": "02/03/2023 16:27:43",
"content": "Ye idk what I did but you can simplify it this way",
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"timestamp": "02/03/2023 16:32:43",
"content": "@JavaMan84 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | cfa3eaf6e8634b1a807dced07a18ec28 |
201,270 | [
{
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"author_name": "hohohogps",
"timestamp": "02/03/2023 17:42:56",
"content": "This is the last question from a math olympiad and the question was:",
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"id": 1071199217227403300,
"author_id": 751272046016856200,
"author_name": "hohohogps",
"timestamp": "02/03/2023 17:43:15",
"content": "if PQ, a chord, is 6, what is the area of the shaded region?",
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"id": 1071199291852460200,
"author_id": 751272046016856200,
"author_name": "hohohogps",
"timestamp": "02/03/2023 17:43:33",
"content": "And all 3 are circles, and the smaller 2 circles are centered",
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"id": 1071199587840294900,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "02/03/2023 17:44:43",
"content": "Is that the full questiob?",
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"id": 1071200607353966600,
"author_id": 751272046016856200,
"author_name": "hohohogps",
"timestamp": "02/03/2023 17:48:46",
"content": "yep",
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{
"id": 1071200772894773400,
"author_id": 751272046016856200,
"author_name": "hohohogps",
"timestamp": "02/03/2023 17:49:26",
"content": "apparently someone solved it and said it was something to do with setting up a simultaneously equation in relation to the areas of the circle",
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"id": 1071203586488422400,
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"timestamp": "02/03/2023 18:00:37",
"content": "Hm",
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"timestamp": "02/03/2023 18:00:47",
"content": "That guy is big brain then",
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"timestamp": "02/03/2023 18:05:48",
"content": "@hohohogps Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | fb47ac76363d4fd99c4ef3e6b29b2bc8 |
201,271 | [
{
"id": 1071208917679476700,
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"timestamp": "02/03/2023 18:21:48",
"content": "Available help channel!",
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},
{
"id": 1071209908973875200,
"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:25:44",
"content": "How exactly can I find an undetermined rate in regard to exponential growth and decay?",
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},
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"id": 1071209912081850500,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "02/03/2023 18:27:16",
"content": "Wdym undetermined rate?",
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},
{
"id": 1071210309425049600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "02/03/2023 18:27:19",
"content": "The base?",
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{
"id": 1071210376160628700,
"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:27:35",
"content": "An undetermined rate of growth",
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},
{
"id": 1071210628720631900,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:28:36",
"content": "so if y=Ae^kt you want to find k?",
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"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:29:06",
"content": "Like y=A(1+r)^t",
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"id": 1071210800741634200,
"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:29:17",
"content": "with r being the rate of growth",
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"id": 1071210884468318200,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:29:36",
"content": "do you know what t is at different times?",
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"id": 1071210921587904600,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:29:45",
"content": "and y",
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"id": 1071211000184975500,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:30:04",
"content": "you would need 2 points at least",
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"id": 1071211063414116400,
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"author_name": "lemondunce",
"timestamp": "02/03/2023 18:30:19",
"content": "Y is 60,000 and A is 30,000 in one question",
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"id": 1071211119491948700,
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"author_name": "lemondunce",
"timestamp": "02/03/2023 18:30:33",
"content": "and the time period is within 20 years",
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"id": 1071211202497237100,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:30:52",
"content": "so 60000=30000(1+r)^20?",
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"id": 1071211257400676400,
"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:31:05",
"content": "yes",
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"id": 1071211373939396700,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:31:33",
"content": "2=(1+r)^20 you could use logarithms or you could just do the 20th root of each side in a calculator and subtract",
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"id": 1071211378838347800,
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"author_name": "Azo",
"timestamp": "02/03/2023 18:31:34",
"content": "1",
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"id": 1071211474153898100,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:31:57",
"content": "which is about 0.035",
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"id": 1071211537580167200,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "02/03/2023 18:32:12",
"content": "3.5%",
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"id": 1071211660297126000,
"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:32:41",
"content": "thank you so much, that makes so much more sense than i was thinking",
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"id": 1071211813414387700,
"author_id": 737514883733651600,
"author_name": "lemondunce",
"timestamp": "02/03/2023 18:33:18",
"content": "have a great day!",
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"author_name": "lemondunce",
"timestamp": "02/03/2023 18:33:21",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 1bdfec327dff4ed9914d923dab05f1ac |
201,272 | [
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"id": 1071219493919002800,
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"author_name": "xzqr",
"timestamp": "02/03/2023 19:03:49",
"content": "Here is the function: f(x)=sin(ax+π/2)+5.3{0<x<3}\nI’m not sure if I’m explaining this correctly but I know the a value will dilate the function and hence affect its gradient. \nHow would I determine a value for (a) such that the highest gradient of the function is 0.3(33%) and at what x value is occurs.",
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"content": "Pinned a message.",
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"author_name": "iCaird",
"timestamp": "02/03/2023 19:04:46",
"content": "#help-5｜timsaay close one please",
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{
"id": 1071219927333228700,
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"timestamp": "02/03/2023 19:05:32",
"content": "ok",
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"timestamp": "02/03/2023 19:20:33",
"content": "@xzqr Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | f77b536278a743f9ade250e0e1b5cb1e |
201,273 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 19:46:07",
"content": "Available help channel!",
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},
{
"id": 1071230701485183100,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
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"content": "Pinned a message.",
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"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:48:38",
"content": "for a) my instinct is to rationalise the denominator",
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"id": 1071230791545270400,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:48:43",
"content": "but dont really know where to go after",
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"id": 1071230929235882100,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:49:16",
"content": "so after this",
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"id": 1071231243565416400,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:50:30",
"content": "$3 + √10 + frac{1}{3 + √10}$",
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},
{
"id": 1071231252973244500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/03/2023 19:50:33",
"content": "**StopTheSkap**",
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"id": 1071231447198875800,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "02/03/2023 19:51:19",
"content": "$3 + \\sqrt{10} + \\frac{1}{3 + \\sqrt{10}}$",
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},
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"id": 1071231457877573600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/03/2023 19:51:22",
"content": "**Katharine**",
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"id": 1071231504111378400,
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"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:51:33",
"content": "thanks so much",
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"id": 1071231563519504400,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:51:47",
"content": "so because its not an equation we can multiply the fraction by",
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"id": 1071231584176455800,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:51:52",
"content": "3 - √10",
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},
{
"id": 1071231589217992700,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:51:53",
"content": "to get",
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},
{
"id": 1071231697603022800,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "02/03/2023 19:52:19",
"content": "you can't just multiply it by a number",
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},
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"id": 1071231727554527400,
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"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:52:26",
"content": "why not",
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{
"id": 1071231734437392400,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "02/03/2023 19:52:28",
"content": "only by 1",
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"id": 1071231765575913500,
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"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:52:35",
"content": "thats what i meant",
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"id": 1071231778926362600,
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"author_name": "StopTheSkap",
"timestamp": "02/03/2023 19:52:38",
"content": "by that on top and bottom",
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"id": 1071231791257620500,
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"author_name": "Katharine",
"timestamp": "02/03/2023 19:52:41",
"content": "oh okay",
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"timestamp": "02/03/2023 19:52:46",
"content": "sorry wasnt clear",
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"timestamp": "02/03/2023 19:53:12",
"content": "$3 + \\sqrt{10} + \\frac{1}{3 + \\sqrt{10}} \\frac{3 - \\sqrt{10}}{3 - \\sqrt{10}}$",
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"timestamp": "02/03/2023 19:53:14",
"content": "**Katharine**",
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"content": "$3 + \\sqrt{10} + \\frac{3 - \\sqrt{10}}{9 + 10}$",
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"content": "**StopTheSkap**",
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"content": "i accidentally put the denominator as 21 in my book",
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"timestamp": "02/03/2023 19:54:48",
"content": "where do I go from here tho Katharine?",
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"content": "what if you now multiply the left part by 19/19",
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"timestamp": "02/03/2023 19:55:12",
"content": "and combine them",
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"timestamp": "02/03/2023 19:55:15",
"content": "ah ok",
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"content": "wait a sec",
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"content": "so you would get",
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"timestamp": "02/03/2023 19:56:42",
"content": "$\\frac{3 - \\sqrt{10} + 19(3 + \\sqrt{10})}{19}$",
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"timestamp": "02/03/2023 19:56:44",
"content": "**StopTheSkap**",
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"timestamp": "02/03/2023 19:56:57",
"content": "yeah and then you can combine the terms",
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"timestamp": "02/03/2023 19:57:04",
"content": "i imagine that's the simplest form",
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"timestamp": "02/03/2023 19:57:11",
"content": "so i got",
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"timestamp": "02/03/2023 19:57:35",
"content": "$\\frac{60 + 18\\sqrt{10}}{19}$",
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"timestamp": "02/03/2023 19:57:38",
"content": "**StopTheSkap**",
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"timestamp": "02/03/2023 19:57:56",
"content": "thanks",
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"timestamp": "02/03/2023 19:58:14",
"content": "can we do question 16b?",
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"timestamp": "02/03/2023 19:58:30",
"content": "sure",
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"timestamp": "02/03/2023 19:58:41",
"content": "you can be clever about b",
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"id": 1071233338741903400,
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"timestamp": "02/03/2023 19:58:50",
"content": "without filling in x",
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"author_name": "Katharine",
"timestamp": "02/03/2023 19:59:06",
"content": "what is $(x + \\frac{1}{x})^2$",
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"timestamp": "02/03/2023 19:59:08",
"content": "**Katharine**",
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"timestamp": "02/03/2023 20:00:13",
"content": "$(\\frac{x^2 + 1}{x})^2$",
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"timestamp": "02/03/2023 20:00:23",
"content": "that squared",
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"timestamp": "02/03/2023 20:00:43",
"content": "**StopTheSkap**",
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"timestamp": "02/03/2023 20:00:55",
"content": "is that what ur looking for mate/",
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"timestamp": "02/03/2023 20:00:56",
"content": "?",
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"timestamp": "02/03/2023 20:01:06",
"content": "no i was thinking about",
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"author_name": "Katharine",
"timestamp": "02/03/2023 20:01:21",
"content": "$(x + \\frac{1}{x})(x + \\frac{1}{x})$",
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"id": 1071233983544832100,
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"timestamp": "02/03/2023 20:01:24",
"content": "**Katharine**",
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"author_name": "Katharine",
"timestamp": "02/03/2023 20:01:28",
"content": "and then find all terms",
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"timestamp": "02/03/2023 20:01:35",
"content": "thats not the question tho",
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"id": 1071234053304492200,
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"timestamp": "02/03/2023 20:01:40",
"content": "its",
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"timestamp": "02/03/2023 20:01:43",
"content": "it's very close",
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"timestamp": "02/03/2023 20:01:45",
"content": "you'll see",
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"timestamp": "02/03/2023 20:02:03",
"content": "so u would get for this",
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"timestamp": "02/03/2023 20:02:38",
"content": "$x^2 + 2 + \\frac{1}{x^2}$",
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"author_name": "TeXit",
"timestamp": "02/03/2023 20:02:41",
"content": "**StopTheSkap**",
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"timestamp": "02/03/2023 20:02:45",
"content": "exactly",
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"author_name": "Katharine",
"timestamp": "02/03/2023 20:02:53",
"content": "which means that if you want to know the answer for b",
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"timestamp": "02/03/2023 20:03:02",
"content": "all you have to do is subtract 2 from that",
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"id": 1071234405315645600,
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"author_name": "Katharine",
"timestamp": "02/03/2023 20:03:04",
"content": "and you know",
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"timestamp": "02/03/2023 20:03:06",
"content": "omg",
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"id": 1071234421144957000,
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"timestamp": "02/03/2023 20:03:08",
"content": "thats crazy",
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"author_name": "Katharine",
"timestamp": "02/03/2023 20:03:12",
"content": "$x + \\frac{1}{x}$",
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"timestamp": "02/03/2023 20:03:15",
"content": "**Katharine**",
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"timestamp": "02/03/2023 20:03:16",
"content": "you found that in a",
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"timestamp": "02/03/2023 20:03:20",
"content": "just square that",
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"timestamp": "02/03/2023 20:03:21",
"content": "-2",
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"timestamp": "02/03/2023 20:03:23",
"content": "and you got b",
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"timestamp": "02/03/2023 20:03:30",
"content": "omg thats amazing",
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"timestamp": "02/03/2023 20:03:43",
"content": "so its this squared -2",
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"timestamp": "02/03/2023 20:03:48",
"content": "yes",
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"timestamp": "02/03/2023 20:03:54",
"content": "ok thanks so much",
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"timestamp": "02/03/2023 20:07:16",
"content": "did you get this",
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"id": 1071235616769069000,
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"timestamp": "02/03/2023 20:07:53",
"content": "$\\frac{6118+2160\\sqrt{10}}{361}$",
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"author_name": "TeXit",
"timestamp": "02/03/2023 20:08:04",
"content": "**StopTheSkap**",
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"timestamp": "02/03/2023 20:11:50",
"content": "this is incorrect",
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"author_name": "Tronsi",
"timestamp": "02/03/2023 20:12:12",
"content": "(x+a)(x-a) != x^2 + a^2",
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"author_name": "Tronsi",
"timestamp": "02/03/2023 20:12:29",
"content": "the correct answer should reduce to a nicer number",
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"timestamp": "02/03/2023 20:12:51",
"content": "its not a difference of two squares mate",
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"timestamp": "02/03/2023 20:13:03",
"content": "its (x + 1/x)^2",
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"timestamp": "02/03/2023 20:13:21",
"content": "so its x^2 + 2 + 1/x^2",
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"author_name": "Tronsi",
"timestamp": "02/03/2023 20:13:34",
"content": "no, see what message I replied to",
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"timestamp": "02/03/2023 20:13:37",
"content": "your part a is incorrect",
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"author_name": "Tronsi",
"timestamp": "02/03/2023 20:14:00",
"content": "(3 + sqrt10)(3 - sqrt10) is not 19",
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"timestamp": "02/03/2023 20:14:08",
"content": "oh its -1",
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"id": 1071237217000890500,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:14:15",
"content": "9-10 not +",
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},
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"id": 1071237255454281900,
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"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:14:24",
"content": "ok fair enough",
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},
{
"id": 1071238015730581500,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:17:25",
"content": "so is part a",
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},
{
"id": 1071238046072180700,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:17:32",
"content": "just 2√10?",
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},
{
"id": 1071238087746797600,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:17:42",
"content": "unless ive done something wrong",
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},
{
"id": 1071238101638324200,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:17:46",
"content": "which is very possible",
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},
{
"id": 1071239018685157400,
"author_id": 594242143867109400,
"author_name": "Tronsi",
"timestamp": "02/03/2023 20:21:24",
"content": "yeah think that's correct",
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},
{
"id": 1071239047013482600,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:21:31",
"content": "so i got then 1521/40 for part b",
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},
{
"id": 1071239080358203400,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:21:39",
"content": "because its 40 + 2 + 1/40",
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{
"id": 1071239114176864300,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:21:47",
"content": "-2 sorry",
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},
{
"id": 1071239362609684600,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:22:46",
"content": "thanks so much",
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},
{
"id": 1071239382645887100,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:22:51",
"content": "ive got more questions",
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},
{
"id": 1071239417911591000,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:22:59",
"content": "but ill close this room and reopen again",
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"reference": null
},
{
"id": 1071239431496937600,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:23:03",
"content": "ur a legend both of u",
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},
{
"id": 1071239436106473500,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:23:04",
"content": "cheers",
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},
{
"id": 1071239441760399500,
"author_id": 1069729473026592800,
"author_name": "StopTheSkap",
"timestamp": "02/03/2023 20:23:05",
"content": ".close",
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},
{
"id": 1071239444402819100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 20:23:06",
"content": "Channel closed",
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"reference": null
}
] | help-9 | ed1bb21443e24d3394589567ddd0109f |
201,274 | [
{
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"timestamp": "02/03/2023 20:24:06",
"content": "Available help channel!",
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"id": 1071240319217172500,
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"content": "Pinned a message.",
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"author_name": "trashcan;)",
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"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:27:04",
"content": "4f",
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{
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"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:28:15",
"content": "answer i got \n2(x+1.75)^2+3.125\n\nactual answer\n2(x+1.75)^2-9.125",
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{
"id": 1071241041400823900,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:29:26",
"content": "What did you do from line 3 to 4",
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{
"id": 1071241196313264100,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:30:03",
"content": "And you would have to subtract by 2*49/4, rather than add",
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"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:30:11",
"content": "i thought we divide the numbers twice since there's a 2 in front",
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{
"id": 1071241384549433300,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:30:48",
"content": "Why?",
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{
"id": 1071241463880491100,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:31:07",
"content": "that's what someone told me",
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{
"id": 1071241603680837600,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:31:41",
"content": "You should understand what you’re doing",
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{
"id": 1071241660610134100,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:31:54",
"content": "(That sounded kinda rude didn’t mean it like that)",
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},
{
"id": 1071241833860055200,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:32:35",
"content": "i don't quite get what im doing like why do we have to divide some of them by 2 again and some is some other",
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"id": 1071241855095812100,
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"timestamp": "02/03/2023 20:32:40",
"content": "ok",
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"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:33:40",
"content": "for this one i was taught to divide twice",
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"id": 1071242251948273800,
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"author_name": "kappa",
"timestamp": "02/03/2023 20:34:15",
"content": "Ohh I see what you’re doing",
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{
"id": 1071242334462812200,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:34:35",
"content": "do i not apply this to the current question",
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"id": 1071242343388303400,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:34:37",
"content": "Ok well there was just one error",
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{
"id": 1071242408085422200,
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"author_name": "kappa",
"timestamp": "02/03/2023 20:34:52",
"content": "Nah you do, I just didn’t understand what you were doing lol",
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{
"id": 1071242438011789400,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:34:59",
"content": "oh sorry",
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{
"id": 1071242486418264000,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:35:11",
"content": "On lien 4, you subtract by 6.125 instead of add",
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"timestamp": "02/03/2023 20:35:28",
"content": "why tho",
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{
"id": 1071242570325303400,
"author_id": 886648822606991500,
"author_name": "kappa",
"timestamp": "02/03/2023 20:35:31",
"content": "Since yiu already added 6.125 in the quadratic ((1.75)^2)",
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"id": 1071242628449964200,
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"author_name": "kappa",
"timestamp": "02/03/2023 20:35:45",
"content": "You have to subtracted back to maintain equality",
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{
"id": 1071242756506276000,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:36:15",
"content": "how do i figure out if it maintains its equality or not",
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"id": 1071242920449024000,
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"author_name": "kappa",
"timestamp": "02/03/2023 20:36:54",
"content": "Maintains equality just means it has to equal the original quadratic",
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"id": 1071242980322717700,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:37:09",
"content": "i also wanna know how people plot estimated graphs by just looking at the equation",
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"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:37:25",
"content": "oh ok",
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"author_name": "kappa",
"timestamp": "02/03/2023 20:37:41",
"content": "(p,q) is the vertex of the quadratic",
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"id": 1071243169569718300,
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"author_name": "kappa",
"timestamp": "02/03/2023 20:37:54",
"content": "You can find the roots by factoring and then you can graph",
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"id": 1071243229586010200,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:38:08",
"content": "i see",
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"id": 1071243627604496400,
"author_id": 770828759955013600,
"author_name": "trashcan;)",
"timestamp": "02/03/2023 20:39:43",
"content": "so whenever there's a plus symbol i change it into a negative num?",
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"id": 1071244545020407800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "02/03/2023 20:43:22",
"content": "it's clearer if you write the step between line 1 and 2, instead of trying to skip a step",
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},
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"id": 1071244595909886100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "02/03/2023 20:43:34",
"content": "don't think of stuff as changing",
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},
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"id": 1071244617120485500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "02/03/2023 20:43:39",
"content": "$\\cts$",
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},
{
"id": 1071244640415653900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "02/03/2023 20:43:45",
"content": "**ℝamonov**",
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"id": 1071245328298287100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "02/03/2023 20:46:29",
"content": "That's a cool preamble",
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"timestamp": "02/03/2023 20:58:15",
"content": "@trashcan;) Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 21:13:15",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | dd367edf2b494492b423117434b9a12f |
201,275 | [
{
"id": 1071252319624253600,
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"timestamp": "02/03/2023 21:14:15",
"content": "Available help channel!",
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},
{
"id": 1071259536788303900,
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"timestamp": "02/03/2023 21:42:57",
"content": "Pinned a message.",
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"id": 1071259699099467800,
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"author_name": "nilarahman_",
"timestamp": "02/03/2023 21:43:35",
"content": "can you help with this question?",
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"id": 1071259948677345300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "02/03/2023 21:44:34",
"content": "You already have #help-19, don't open multiple channels",
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"author_name": "nilarahman_",
"timestamp": "02/03/2023 21:45:29",
"content": "no one is answering in that channel",
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"id": 1071260267759018100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "02/03/2023 21:45:50",
"content": "Then you wait",
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},
{
"id": 1071262087566872700,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "02/03/2023 21:53:04",
"content": "how long though😅",
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"id": 1071265863665201300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 22:08:05",
"content": "@nilarahman_ Has your question been resolved?",
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{
"id": 1071265906115739800,
"author_id": 777023570815221900,
"author_name": "Prafful Vyas | Jodhpur",
"timestamp": "02/03/2023 22:08:15",
"content": "Hi",
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},
{
"id": 1071266222387232900,
"author_id": 723944703954780300,
"author_name": "nilarahman_",
"timestamp": "02/03/2023 22:09:30",
"content": "hi",
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"id": 1071269641776795600,
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"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 22:23:05",
"content": "Channel closed",
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] | help-9 | dae2eeb6d5b14f42809fb80c96b6252b |
201,276 | [
{
"id": 1036746351561670700,
"author_id": 451551793474961400,
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"timestamp": "10/31/2022 16:59:52",
"content": "oops",
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"content": "Available help channel!",
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"id": 1036755553743024100,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:36:25",
"content": "Can anyone help me understand how to simplify radicals",
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"id": 1036755555638857700,
"author_id": 805217272087838700,
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"timestamp": "10/31/2022 17:36:26",
"content": "Pinned a message.",
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"id": 1036755900419035100,
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"timestamp": "10/31/2022 17:37:48",
"content": "Sure",
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},
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"id": 1036755946426339300,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:37:59",
"content": "Give me an example of 1 @Suplix",
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"timestamp": "10/31/2022 17:38:40",
"content": "The square root of 40",
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"author_name": "Dire",
"timestamp": "10/31/2022 17:39:58",
"content": "",
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"id": 1036756469045002400,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:40:04",
"content": "Have you seen a factor tree?",
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},
{
"id": 1036756664273096700,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:40:50",
"content": "Ya",
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},
{
"id": 1036757317481410700,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:43:26",
"content": "The part I’m confused the most about it the 2 2 2 5 and how that gets to 2 10",
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"author_name": "Suplix",
"timestamp": "10/31/2022 17:48:14",
"content": "@Dire",
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{
"id": 1036758579757191300,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:48:27",
"content": "so",
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},
{
"id": 1036758585193009200,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:48:28",
"content": "suplix",
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},
{
"id": 1036758608932778000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:48:34",
"content": "what is the square root of 4",
"attachments": [],
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},
{
"id": 1036758617539481700,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:48:36",
"content": "do you know?",
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},
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"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:48:39",
"content": "@Suplix",
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"id": 1036758642789199900,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:48:42",
"content": "sqrt(4)",
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"id": 1036758700431511600,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:48:56",
"content": "2",
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},
{
"id": 1036759040723779700,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:50:17",
"content": "yes",
"attachments": [],
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},
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"id": 1036759089763586200,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:50:29",
"content": "because 2 * 2 = 4",
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{
"id": 1036759135309529200,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:50:39",
"content": "so you could also say",
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{
"id": 1036759165512724600,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:50:47",
"content": "sqrt(4) * sqrt(4) = 4",
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},
{
"id": 1036759177869135900,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:50:50",
"content": "Does that make sense so far?",
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{
"id": 1036759514357170200,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:52:10",
"content": "Ya",
"attachments": [],
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},
{
"id": 1036759641608179700,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:52:40",
"content": "ok",
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},
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"id": 1036759644623880200,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:52:41",
"content": "so",
"attachments": [],
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},
{
"id": 1036759694351536100,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:52:53",
"content": "sqrt(2) * sqrt(2) = ?",
"attachments": [],
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},
{
"id": 1036759700861108400,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:52:54",
"content": "What do you think",
"attachments": [],
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},
{
"id": 1036759767378579600,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:53:10",
"content": "2",
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},
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"id": 1036759803608965200,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:53:19",
"content": "Ok this makes more sense now",
"attachments": [],
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},
{
"id": 1036760835051241500,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 17:57:25",
"content": "So basically sqrt(2) *sqrt(2) *sqrt(2) *sqrt(5) =sqrt(10) right?",
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},
{
"id": 1036761327617704000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:22",
"content": "sort of!",
"attachments": [],
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},
{
"id": 1036761333418430600,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:23",
"content": "Yes",
"attachments": [],
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},
{
"id": 1036761343002411100,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:26",
"content": "So",
"attachments": [],
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},
{
"id": 1036761355157524500,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:29",
"content": "look",
"attachments": [],
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},
{
"id": 1036761410476200000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:42",
"content": "sqrt(2) * sqrt(2) = 2, correct?",
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},
{
"id": 1036761429140844700,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:46",
"content": "We also know that",
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},
{
"id": 1036761446459125900,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:50",
"content": "sqrt(4) = 2",
"attachments": [],
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},
{
"id": 1036761479040467100,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 17:59:58",
"content": "so now you see that",
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},
{
"id": 1036761521927246000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:00:08",
"content": "sqrt(2) * sqrt(2) = sqrt(4)",
"attachments": [],
"mentions": [],
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},
{
"id": 1036761536540201000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:00:12",
"content": "which = 2",
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},
{
"id": 1036761612499030100,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:00:30",
"content": "so you have sqrt(2)sqrt(2)sqrt(2)sqrt(5)",
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},
{
"id": 1036761649828352100,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:00:39",
"content": "now you combine the first two, sqrt(2)sqrt(2) = 2",
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},
{
"id": 1036761719059525600,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:00:55",
"content": "and multiply it by (sqrt(2)sqrt(5) = sqrt(10))",
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},
{
"id": 1036761722771476500,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:00:56",
"content": "to get",
"attachments": [],
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"reference": null
},
{
"id": 1036761736692375700,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:00",
"content": "2sqrt(10)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036761749476618400,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:03",
"content": "Does that make sense?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036761752702034000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:03",
"content": "@Suplix",
"attachments": [],
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{
"id": 1036761806695305300,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 18:01:16",
"content": "Ya thank you for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036761830829347000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:22",
"content": "no problem! good luck",
"attachments": [],
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},
{
"id": 1036761850840363000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:27",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1036761861795877000,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:29",
"content": "you gotta type .close",
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},
{
"id": 1036761864140505100,
"author_id": 295620608333578240,
"author_name": "Dire",
"timestamp": "10/31/2022 18:01:30",
"content": "haha",
"attachments": [],
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},
{
"id": 1036761876769538000,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 18:01:33",
"content": "Haha",
"attachments": [],
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},
{
"id": 1036761887544717400,
"author_id": 694008091494187000,
"author_name": "Suplix",
"timestamp": "10/31/2022 18:01:36",
"content": ".close",
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},
{
"id": 1036761890124222500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 18:01:36",
"content": "Channel closed",
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}
] | help-9 | 9fe6637382b44ffbbeefe8f0ec8b5223 |
201,277 | [
{
"id": 1071269892763943000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 22:24:05",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1071278419167420500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 22:57:58",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1071278415719710800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1071278624742834300,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "02/03/2023 22:58:47",
"content": "1/3 of 6 would be 2",
"attachments": [],
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},
{
"id": 1071278645496250400,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "02/03/2023 22:58:52",
"content": "If I am not mistaking",
"attachments": [],
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},
{
"id": 1071278729524936800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 22:59:12",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | f75ec606eb754e3290e008b9dd3a03a0 |
201,278 | [
{
"id": 1071278790732423300,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "02/03/2023 22:59:27",
"content": "you're welcome",
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"reference": null
},
{
"id": 1071280947112190100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 23:08:01",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1071288363493109900,
"author_id": 797192290007384000,
"author_name": "Sm3",
"timestamp": "02/03/2023 23:37:29",
"content": "Standing at the base of one of the cliffs of Mt. Arapiles in Victoria, Australia, a hiker hears a rock break loose from a height of 105.0 m. He can’t see the rock right away, but then does, 1.50 s later. (a) How far above the hiker is the rock when he can hear it? (b) How much time does he have to move before the rock hits his head?",
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},
{
"id": 1071288366672396300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 23:37:30",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1071288363493109900,
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{
"id": 1071288414042861600,
"author_id": 797192290007384000,
"author_name": "Sm3",
"timestamp": "02/03/2023 23:37:41",
"content": "ik its more physics than math but I still dont get it",
"attachments": [],
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},
{
"id": 1071288442396360700,
"author_id": 797192290007384000,
"author_name": "Sm3",
"timestamp": "02/03/2023 23:37:48",
"content": "we're doing basic 1d motion",
"attachments": [],
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"reference": null
},
{
"id": 1071292218054283400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 23:52:48",
"content": "@Sm3 Has your question been resolved?",
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"id": 1071292252078485600,
"author_id": 797192290007384000,
"author_name": "Sm3",
"timestamp": "02/03/2023 23:52:56",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1071292255022874600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 23:52:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | f697bc15af274878a7ff4b2bdb87afad |
201,279 | [
{
"id": 1071292506962137200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/03/2023 23:53:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1071298338282029200,
"author_id": 493108432136831000,
"author_name": "Skully",
"timestamp": "02/04/2023 00:17:07",
"content": "I need some help with math homework heres was I need to do, \"Use the geometric sequence to help write a recursive rule and an explicit rule for any geometric sequence. Answer should be written with the recursive rule followed by the explicit rule that is in the form: \nf(1)=? and f(n)=? for any n≥2, f(n)=?\"",
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"id": 1071298340106539100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 00:17:08",
"content": "Pinned a message.",
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"id": 1071298467621781500,
"author_id": 493108432136831000,
"author_name": "Skully",
"timestamp": "02/04/2023 00:17:38",
"content": "Hello?",
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"id": 1071298716369178800,
"author_id": 493108432136831000,
"author_name": "Skully",
"timestamp": "02/04/2023 00:18:37",
"content": "5, 15, 45, 135, 405",
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"id": 1071299031961194500,
"author_id": 493108432136831000,
"author_name": "Skully",
"timestamp": "02/04/2023 00:19:52",
"content": "I need help setting up this equation?",
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"author_id": 493108432136831000,
"author_name": "Skully",
"timestamp": "02/04/2023 00:33:53",
"content": "@Helpers",
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"id": 1071303011130949600,
"author_id": 493108432136831000,
"author_name": "Skully",
"timestamp": "02/04/2023 00:35:41",
"content": "I am stuck on what do after f(1)=5",
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"author_name": "Saccharine",
"timestamp": "02/04/2023 00:41:24",
"content": "do you know what \"explicit rule\" and \"recursive rule\" mean?",
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"timestamp": "02/04/2023 00:45:42",
"content": "No I am bit confused on those terms",
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"author_name": "Saccharine",
"timestamp": "02/04/2023 00:58:55",
"content": "what does your reading / notes say about them?",
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"timestamp": "02/04/2023 01:03:55",
"content": "@Skully Has your question been resolved?",
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"timestamp": "02/04/2023 01:05:19",
"content": "My notes say that the recursive rule is a(n) = a(n-1) * r",
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"timestamp": "02/04/2023 01:06:22",
"content": "The explicit rule is a(n) = a(1) * r to the power of n-1",
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"timestamp": "02/04/2023 01:09:41",
"content": "well that's true for a geometric sequence",
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"timestamp": "02/04/2023 01:09:58",
"content": "but you should also be familiar with what they generally mean",
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"timestamp": "02/04/2023 01:10:37",
"content": "Can you walk me through the equation?",
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"timestamp": "02/04/2023 01:11:36",
"content": "what equation",
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"timestamp": "02/04/2023 01:40:38",
"content": "@Skully Has your question been resolved?",
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] | help-9 | 0f30cdf01ac64008a49e8004d50d4d9b |
201,280 | [
{
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"timestamp": "02/04/2023 02:11:38",
"content": "Available help channel!",
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"id": 1071330625061126100,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:25:25",
"content": "prove that $a^3 - a$ is divisible by 6 for all a that is an integer",
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"timestamp": "02/04/2023 02:25:27",
"content": "**vertify**",
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"timestamp": "02/04/2023 02:27:26",
"content": "apparently you're meant to prove why it is divisible by both 2 and 3",
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"timestamp": "02/04/2023 02:34:52",
"content": "try factoring it",
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"timestamp": "02/04/2023 02:35:09",
"content": "ye i've done that but i can't seem to make the connection",
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"timestamp": "02/04/2023 02:35:17",
"content": "don't know how far i'm meant to go either",
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"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 02:35:19",
"content": "what did you get from factoring it?",
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"timestamp": "02/04/2023 02:35:21",
"content": "i've done",
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"timestamp": "02/04/2023 02:35:29",
"content": "$a(a^2-1)$",
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"timestamp": "02/04/2023 02:35:31",
"content": "and i've tried",
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"timestamp": "02/04/2023 02:35:32",
"content": "**vertify**",
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"content": "$a(a+1)(a-1)$",
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"content": "**vertify**",
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"timestamp": "02/04/2023 02:35:47",
"content": "okay so can you see why that would be divisible by 2",
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"timestamp": "02/04/2023 02:35:58",
"content": "and 3 also",
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"timestamp": "02/04/2023 02:36:05",
"content": "well yeah",
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"timestamp": "02/04/2023 02:36:21",
"content": "i can see why it's divisible by two",
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"timestamp": "02/04/2023 02:36:25",
"content": "but the logic for why it's divisible by 3 is basically the same as why it's divisible by 2",
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"timestamp": "02/04/2023 02:36:34",
"content": "why is it divisible by two?",
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"timestamp": "02/04/2023 02:36:39",
"content": "well there's two cases",
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"timestamp": "02/04/2023 02:36:44",
"content": "even number, or odd number",
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"timestamp": "02/04/2023 02:36:52",
"content": "so i just tried letting a = 2n",
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"timestamp": "02/04/2023 02:37:07",
"content": "$2n((2n)^2 - 1)$",
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"timestamp": "02/04/2023 02:37:09",
"content": "**vertify**",
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"timestamp": "02/04/2023 02:37:14",
"content": "a is not necessarily 2n",
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"timestamp": "02/04/2023 02:37:18",
"content": "It is",
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"timestamp": "02/04/2023 02:37:21",
"content": "well it's either",
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"timestamp": "02/04/2023 02:37:22",
"content": "2n",
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"timestamp": "02/04/2023 02:37:23",
"content": "or 2n + 1",
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"timestamp": "02/04/2023 02:37:29",
"content": "so i'm checking both cases",
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"author_name": "Frosst",
"timestamp": "02/04/2023 02:37:31",
"content": "If a is an integer then you can describe is as what he just said",
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"timestamp": "02/04/2023 02:37:39",
"content": "yeah, it is",
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"timestamp": "02/04/2023 02:37:46",
"content": "You’re right there",
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"timestamp": "02/04/2023 02:37:57",
"content": "huh? if a is 3, how are you going to write a = 2n?",
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"timestamp": "02/04/2023 02:38:12",
"content": "i was talking about the first case",
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"timestamp": "02/04/2023 02:38:16",
"content": "Do you see how this is divisible by 3",
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"content": "the second case obviously being a = 2n + 1",
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"timestamp": "02/04/2023 02:38:22",
"content": "right",
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"timestamp": "02/04/2023 02:38:28",
"content": "Tbh you can see it from just this factorisation",
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"timestamp": "02/04/2023 02:38:31",
"content": "so now try applying that argument for 3",
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"timestamp": "02/04/2023 02:39:01",
"content": "maybe if you say that a = 2n or a = 2n+1",
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"timestamp": "02/04/2023 02:39:03",
"content": "those are you two cases",
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"timestamp": "02/04/2023 02:39:05",
"content": "I think it’s quite clever",
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"timestamp": "02/04/2023 02:39:09",
"content": "you can just say that in 3 random continuous numbers, there's atleast 1 number dividible by 2",
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"timestamp": "02/04/2023 02:39:12",
"content": "You don’t need 2n and 2n + 1",
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"content": "easy",
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"timestamp": "02/04/2023 02:39:16",
"content": "Yeah",
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"timestamp": "02/04/2023 02:39:18",
"content": "same for 3",
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"timestamp": "02/04/2023 02:39:18",
"content": "can you make a similar argument for divisibility by 3?",
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"content": "It has to hit a multiple of 2 and 3",
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"content": "yeah i like that",
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"content": "you have to prove that",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/04/2023 02:39:43",
"content": "You don’t really",
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"id": 1071334236562403300,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 02:39:46",
"content": "it's kinda obvious by inspection, but there's a way to prove it",
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},
{
"id": 1071334293902737400,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:40:00",
"content": "can't i just prove it with (a-1)(a)(a+1) or smth",
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},
{
"id": 1071334313024573400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/04/2023 02:40:04",
"content": "You can",
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},
{
"id": 1071334377126121600,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:40:19",
"content": "i don't think they expect me to actually sub in a value for a to prove it",
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},
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"id": 1071334432520278100,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 02:40:33",
"content": "really? if you can't come up with a decent formal argument, I'd question whether you actually understand the intuition behind it or how to formalize an argument",
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},
{
"id": 1071334463251959800,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:40:40",
"content": "shush",
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},
{
"id": 1071334473242779800,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:40:42",
"content": "don't sound geeky now",
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},
{
"id": 1071334479374856200,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:40:44",
"content": "it's time to leave",
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},
{
"id": 1071334505199173600,
"author_id": 899420399593463800,
"author_name": "vertify",
"timestamp": "02/04/2023 02:40:50",
"content": ".close",
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},
{
"id": 1071334508005167100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 02:40:51",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | 7b758f394d71421db914a7e949868251 |
201,281 | [
{
"id": 1071334760334512100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 02:41:51",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1071335673681952800,
"author_id": 266815087250112500,
"author_name": "Mynameismud",
"timestamp": "02/04/2023 02:45:29",
"content": "if you go from x+2>0 to x>-2 do u have to change the sign?",
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},
{
"id": 1071335677641359400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 02:45:30",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1071335769806999600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "02/04/2023 02:45:51",
"content": "if you're adding or subtracting, no",
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},
{
"id": 1071335828158169100,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "02/04/2023 02:46:05",
"content": "division/multiplication by negatives is when you switch",
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},
{
"id": 1071335891060142200,
"author_id": 266815087250112500,
"author_name": "Mynameismud",
"timestamp": "02/04/2023 02:46:20",
"content": "okay thank you!",
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},
{
"id": 1071337164882837500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/04/2023 02:51:24",
"content": "Or squaring",
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},
{
"id": 1071337188706496500,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/04/2023 02:51:30",
"content": "-3 < 2 works",
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},
{
"id": 1071337230922166300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "02/04/2023 02:51:40",
"content": "But if you square both sides it’ll switch",
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},
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"id": 1071339667095564300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:01:21",
"content": "@Mynameismud Has your question been resolved?",
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"id": 1071339719859900400,
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"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:01:33",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | c8546325e760425cbd5ded755af402cc |
201,282 | [
{
"id": 1071339972206014500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:02:33",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1071341908036681700,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:10:15",
"content": "How is this wrong",
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"id": 1071341911501197400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:10:16",
"content": "Pinned a message.",
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"id": 1071341958422872200,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:10:27",
"content": "I’m 13 so don’t judge me smh",
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},
{
"id": 1071342208269168600,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:11:27",
"content": "Oh did I do the calcs wrong",
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},
{
"id": 1071342343254442000,
"author_id": 727948631830691800,
"author_name": "Wefaq",
"timestamp": "02/04/2023 03:11:59",
"content": "Find a function follows:\nF(-π/2) = 0;\nF(π/2) = 1;\nCan someone help me?",
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"id": 1071342355522789400,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:12:02",
"content": "oh yea anti derivative of 4x = 2x^2?",
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},
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"id": 1071342400640917500,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:12:12",
"content": "uh another channel..?.",
"attachments": [],
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"id": 1071342481049919500,
"author_id": 727948631830691800,
"author_name": "Wefaq",
"timestamp": "02/04/2023 03:12:32",
"content": "Is not help channel?",
"attachments": [],
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},
{
"id": 1071342647656071200,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:13:11",
"content": "like another help forum",
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},
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"id": 1071342671139975200,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:13:17",
"content": "not this one, man",
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},
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"id": 1071342680547803100,
"author_id": 924879126693838800,
"author_name": "DarkSyde",
"timestamp": "02/04/2023 03:13:19",
"content": "read the rules",
"attachments": [],
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},
{
"id": 1071346458822967300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:28:20",
"content": "@DarkSyde Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:28:32",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 75edcb352fff4e35812fafb8023d6d30 |
201,283 | [
{
"id": 1071346761521709000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:29:32",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1071353021818228900,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 03:54:25",
"content": "Hello i have a probability question",
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},
{
"id": 1071353024473210900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "02/04/2023 03:54:25",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1071353363662381000,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 03:55:46",
"content": "me too tbh",
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},
{
"id": 1071353418909761700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "02/04/2023 03:55:59",
"content": "yeah same",
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},
{
"id": 1071353598509850600,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 03:56:42",
"content": "When throwing 3 dice, you have 6 different ways to end up with the sum 9 or 10. Why is the probability of getting 10 higher ?",
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{
"id": 1071353660346486900,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 03:56:57",
"content": "I was writing it down guys cmon 😂",
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"id": 1071353916857528300,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 03:57:58",
"content": "",
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"id": 1071353989322510500,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 03:58:15",
"content": "The problem is the 3+3+3 but i don’t quite get why",
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"id": 1071354172894617600,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "02/04/2023 03:58:59",
"content": "what exactly dont you get?",
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"id": 1071354244340404200,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "02/04/2023 03:59:16",
"content": "cause the way you phrased it is pretty vague",
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"id": 1071354393615679500,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 03:59:52",
"content": "Phrased the problem ? Or the issue i have with the \"solution\" ?",
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},
{
"id": 1071354433100857300,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "02/04/2023 04:00:01",
"content": "the issue",
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},
{
"id": 1071354595596583000,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:00:40",
"content": "Well getting a triple 3 has the same probability as getting any other outcome right ?",
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"id": 1071354751079415800,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "02/04/2023 04:01:17",
"content": "assuming its evenly distributed yes",
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"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:01:31",
"content": "Yes it is forgot to mention that sry",
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"id": 1071355035709087700,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:02:25",
"content": "I couldn’t make it to one of my lessons but my teacher counted the number of anagrams to solve this",
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"id": 1071355088666362000,
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"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:02:37",
"content": "I don’t get how this helps ?",
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"id": 1071355115119849600,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:02:44",
"content": "in short, because you're counting the wrong sample space",
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"id": 1071355249077522600,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:03:16",
"content": "wrong terminology",
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},
{
"id": 1071355289300897900,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:03:25",
"content": "if you consider the space of size 6^3 = 216",
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{
"id": 1071355341842939900,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:03:38",
"content": "where basically each of the dice are independent and there are repeats",
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"id": 1071355451809214500,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:04:04",
"content": "then the arrangement that you've given for 2+5+3, for example, actually consists of 6 outcomes",
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"id": 1071355507937378300,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:04:17",
"content": "(2,5,3), (5,2,3), and (2,3,5)",
"attachments": [],
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},
{
"id": 1071355559317614700,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:04:30",
"content": "but the (3,3,3) is still only one outcome",
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},
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"id": 1071355669040607200,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:04:56",
"content": "When in real life it should be considered as 3 right ?",
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},
{
"id": 1071355685226414100,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:05:00",
"content": "no",
"attachments": [],
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},
{
"id": 1071355708676767900,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:05:05",
"content": "it should be considered as one outcome",
"attachments": [],
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},
{
"id": 1071355745351782400,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:05:14",
"content": "??",
"attachments": [],
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},
{
"id": 1071355810451554400,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:05:30",
"content": "in real life, you expect a (3,3,3) to come out 1/216 times",
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},
{
"id": 1071355884732694500,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:05:47",
"content": "but you'd see some ordering of (2,5,3) approximately 1/72 times",
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},
{
"id": 1071355970778845200,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:06:08",
"content": "Lets call them 3a, 3b, 3c. We have (3a, 3b, 3c), (3a,3c, 3b), (3b,3c, 3a) etc",
"attachments": [],
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},
{
"id": 1071356007994892300,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:06:17",
"content": "no idea what that means",
"attachments": [],
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},
{
"id": 1071356065918238700,
"author_id": 258604408823087100,
"author_name": "55Crip♿",
"timestamp": "02/04/2023 04:06:30",
"content": "First dice a, 2nd b etc",
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},
{
"id": 1071356078136242200,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:06:33",
"content": "okay",
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},
{
"id": 1071356140320997500,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:06:48",
"content": "> (3a, 3b), (3a,3c), (3b,3c)",
"attachments": [],
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"reference": null
},
{
"id": 1071356152497061900,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "02/04/2023 04:06:51",
"content": "not sure what that means",
"attachments": [],
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"reference": null
},
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"timestamp": "02/04/2023 04:07:12",
"content": "Oh woops",
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"timestamp": "02/04/2023 04:08:46",
"content": "Wait but we have more than 3 outcomes in fact ?",
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"timestamp": "02/04/2023 04:09:04",
"content": "I meant to seperate all different oucomes",
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"timestamp": "02/04/2023 04:09:14",
"content": "the sample space is 216 outcomes",
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"timestamp": "02/04/2023 04:09:34",
"content": "6 ways to pick the first die, 6 ways to pick the second, 6 ways to pick the third",
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"timestamp": "02/04/2023 04:10:23",
"content": "My bad, for a combination of lets say 1,2 and 3",
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"content": "there are 6 outcomes corresponding to 2+5+3=10, i.e. die A = 2, die B = 5, die C = 3 OR die A = 5, die B = 3, die C = 2 OR die A = 2, die B = 3, die C = 5",
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"timestamp": "02/04/2023 04:10:44",
"content": "why did I say 3",
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"timestamp": "02/04/2023 04:10:45",
"content": "For example this",
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"timestamp": "02/04/2023 04:10:47",
"content": "I'm dumb LOL",
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"timestamp": "02/04/2023 04:11:11",
"content": "Haha yeah ok i agree",
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"timestamp": "02/04/2023 04:11:29",
"content": "there are:\n(2, 5, 3)\n(2, 3, 5)\n(5, 3, 2)\n(5, 2, 3)\n(3, 5, 2)\n(3, 2, 5)",
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"timestamp": "02/04/2023 04:11:40",
"content": "So why can’t we do the same with 3 + 3 + 3 when calling the first one a, 2nd b and 3nd one c ?",
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"timestamp": "02/04/2023 04:12:18",
"content": "okay let's say call the event A \"one of the dice comes up with a 2, one of them comes up with a 3, and one of them comes up with a 5\"",
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"timestamp": "02/04/2023 04:12:22",
"content": "A has 6 outcomes in there",
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"timestamp": "02/04/2023 04:12:30",
"content": "6 different ways of getting 3 3 3 makes sense to me 😦",
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"timestamp": "02/04/2023 04:12:44",
"content": "let's call the event B \"all of the dice come up with a 3\"",
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"timestamp": "02/04/2023 04:12:56",
"content": "B only has one outcome",
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"timestamp": "02/04/2023 04:13:00",
"content": "what 6 ways",
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"timestamp": "02/04/2023 04:13:08",
"content": "die A = 3, die B = 3, die C = 3 is the only way",
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"timestamp": "02/04/2023 04:13:34",
"content": "This",
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"timestamp": "02/04/2023 04:13:40",
"content": "what you wrote makes no sense",
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"timestamp": "02/04/2023 04:13:47",
"content": "So BAC for example",
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"timestamp": "02/04/2023 04:13:53",
"content": "(2, 3, 5) is a shorthand for saying die A = 2, die B = 3, die C = 5",
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"timestamp": "02/04/2023 04:14:21",
"content": "is saying die B = 3, die A = 3, die C = 3 a different statement logically than saying die A = 3, die B = 3, die C = 3?",
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"timestamp": "02/04/2023 04:14:22",
"content": "no",
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"timestamp": "02/04/2023 04:14:24",
"content": "Ok lets use your natation then",
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"timestamp": "02/04/2023 04:14:30",
"content": "the notation doesn't matter at all",
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"timestamp": "02/04/2023 04:15:23",
"content": "how about this",
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"timestamp": "02/04/2023 04:15:27",
"content": "let's consider two dice",
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"timestamp": "02/04/2023 04:15:29",
"content": "No it’s not different but we got there with a different \"pattern\"",
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"timestamp": "02/04/2023 04:15:32",
"content": "no",
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"timestamp": "02/04/2023 04:15:36",
"content": "I think you're just confused",
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"timestamp": "02/04/2023 04:15:51",
"content": "let's simplify this to two dice, and they have two numbers on them: 1 and 2",
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"timestamp": "02/04/2023 04:15:59",
"content": "Do you understand why i’m stuck with this probably false logic tho ? 😂",
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"timestamp": "02/04/2023 04:16:26",
"content": "yeah I see where you're getting it from, and it's from not understanding what the sample space is or how the outcomes are counted",
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"timestamp": "02/04/2023 04:16:46",
"content": "The outcomes for these two dice are basically\n(1, 1)\n(1, 2)\n(2, 1)\n(2, 2)",
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"timestamp": "02/04/2023 04:16:47",
"content": "agreed?",
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"timestamp": "02/04/2023 04:16:56",
"content": "where the first number is the number on die A and the second number is the number on die B",
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"timestamp": "02/04/2023 04:17:13",
"content": "Agreed",
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"timestamp": "02/04/2023 04:17:47",
"content": "furthermore, rolling these two dice is actually doing exactly the same thing as selecting one of these four outcomes with equal probability, agreed?",
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"timestamp": "02/04/2023 04:17:59",
"content": "Still kinda want to add (1,1) and (2,2) twice logically lol",
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"timestamp": "02/04/2023 04:18:10",
"content": "i.e. I could replace the two dice with four cards with (1, 1), (1, 2), (2, 1), and (2,2) written on them",
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"timestamp": "02/04/2023 04:18:13",
"content": "and pick them out of a hat",
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"timestamp": "02/04/2023 04:18:16",
"content": "it would be the same game",
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"timestamp": "02/04/2023 04:18:17",
"content": "agreed?",
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"timestamp": "02/04/2023 04:18:47",
"content": "Yep",
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"timestamp": "02/04/2023 04:19:18",
"content": "then can you see that there are 2 cards in the hat corresponding to the event \"one of the dice shows a 1 and the other shows a 2\"",
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"timestamp": "02/04/2023 04:19:29",
"content": "but there is only 1 card in the hat corresponding to the event \"both dice show a 2\"?",
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"timestamp": "02/04/2023 04:20:02",
"content": "Yes makes sense",
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"timestamp": "02/04/2023 04:20:12",
"content": "But still is foggy for me",
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"timestamp": "02/04/2023 04:20:17",
"content": "it's the same for the three dice case, except there are 216 cards in the hat",
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"timestamp": "02/04/2023 04:20:19",
"content": "Wtffffff why am i thinking like this",
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"timestamp": "02/04/2023 04:21:07",
"content": "fundamentally, whatever combinations permutations multiplication is simply counting the number of cards in the hat that correspond to a particular event",
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"timestamp": "02/04/2023 04:21:19",
"content": "obviously listing them all out and counting them with your fingers is inefficient",
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"timestamp": "02/04/2023 04:21:41",
"content": "so we have shortcuts like multiplication -- there are 3x2x1 ways to order 2, 3, and 5 for example",
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"timestamp": "02/04/2023 04:22:02",
"content": "so we know that there are 6 outcomes corresponding to \"one of the dice shows a 2, another shows a 3, and the other shows a 5\"",
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"timestamp": "02/04/2023 04:22:22",
"content": "In my mind, if the first dice ends up an 1 the second one has a chance to end un on 1 so (1,1) is an outcome. But now if we start with the second dice and that one ends up on 1, the first one has a chance to end up on one. So (1,1) is another outcome ? Wtf idk bro",
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"timestamp": "02/04/2023 04:22:46",
"content": "but you don't",
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"timestamp": "02/04/2023 04:22:48",
"content": "you start from the first die",
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"timestamp": "02/04/2023 04:23:03",
"content": "if you define your sampling procedure as rolling the first die and then the second die",
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"timestamp": "02/04/2023 04:23:11",
"content": "you can't just suddenly say something like \"I'm starting from the second die\"",
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"timestamp": "02/04/2023 04:23:15",
"content": "like what does that even mean",
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"timestamp": "02/04/2023 04:23:29",
"content": "in any case, it's equivalent to picking cards out of a hat",
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"timestamp": "02/04/2023 04:24:07",
"content": "If we’re throwing them all at the same time",
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"timestamp": "02/04/2023 04:24:42",
"content": "that's basically picking the cards out of the hat",
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"timestamp": "02/04/2023 04:25:03",
"content": "Oh shit it just clicked",
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"timestamp": "02/04/2023 04:25:20",
"content": "Ahhhh i see",
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"timestamp": "02/04/2023 04:25:32",
"content": "Bro i’m so dumb 😂",
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"timestamp": "02/04/2023 04:25:33",
"content": "if you want another way to look at it, there are two ways for one of the dice to show a 1 and the other a 2",
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"timestamp": "02/04/2023 04:25:45",
"content": "there are: the first die shows a 1 and the second shows a 2",
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"content": "that has a probability of 25%",
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"timestamp": "02/04/2023 04:26:00",
"content": "and then there's the first die shows a 2 and the second die shows a 1",
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"content": "that's a probability of 25%",
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"content": "so a total of 50%",
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"timestamp": "02/04/2023 04:26:33",
"content": "but that logic doesn't apply to the case where you want both to show a 1",
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"timestamp": "02/04/2023 04:28:14",
"content": "Why exactly ?",
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"timestamp": "02/04/2023 04:28:27",
"content": "I think i’m back in the loop fuck bro 😂",
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"content": "Never mind i think it’s mostly clear",
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"timestamp": "02/04/2023 04:29:48",
"content": "because there's only one way that both show a 1",
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"content": "you need the first die to show a 1",
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"timestamp": "02/04/2023 04:30:01",
"content": "that has a probability of 1/2",
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"timestamp": "02/04/2023 04:30:05",
"content": "and then you need the second die to show a 1",
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"timestamp": "02/04/2023 04:30:16",
"content": "that's also a probability of 1/2",
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"timestamp": "02/04/2023 04:30:21",
"content": "and therefore the probability that both show a 1 is 1/4",
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"timestamp": "02/04/2023 04:30:30",
"content": "Mmmmmh",
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"timestamp": "02/04/2023 04:30:40",
"content": "That makes so much sense",
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"timestamp": "02/04/2023 04:30:55",
"content": "Damn i’m slow",
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"timestamp": "02/04/2023 04:31:01",
"content": "note that the probability that the first die shows a 1 and the second die shows a 2 is exactly the same",
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"timestamp": "02/04/2023 04:31:03",
"content": "it's also 1/4",
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"timestamp": "02/04/2023 04:31:07",
"content": "Good to get that out of the way tho",
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"timestamp": "02/04/2023 04:31:09",
"content": "but you have another way to get a 1+2",
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"timestamp": "02/04/2023 04:31:19",
"content": "you can get it through the first die showing a 2 and the second die showing a 1",
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"timestamp": "02/04/2023 04:31:36",
"content": "and that's why the cumulative probability of getting some ordering of 1,2, i.e. a sum of 3, is 50%",
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"content": "I see thank you",
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"timestamp": "02/04/2023 04:32:38",
"content": "So in the initial problem",
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"timestamp": "02/04/2023 04:33:00",
"content": "3+3+3 is only obtainable 1 way ?",
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"timestamp": "02/04/2023 04:33:03",
"content": "yes",
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"timestamp": "02/04/2023 04:33:08",
"content": "but 2+5+3 is obtainable 6 ways",
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"timestamp": "02/04/2023 04:34:00",
"content": "So you sum the number of \"right\" outcomes and / 6^3 ?",
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"timestamp": "02/04/2023 04:34:23",
"content": "But that sum will be < for 9",
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"timestamp": "02/04/2023 04:35:46",
"content": "yeah there's something called \"stars and bars\" to do it without enumerating all of the outcomes and adding them up",
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"timestamp": "02/04/2023 04:36:07",
"content": "Stars and bars applies here ?",
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"timestamp": "02/04/2023 04:36:32",
"content": "I was wondering if it did",
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"timestamp": "02/04/2023 04:36:58",
"content": "it does",
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"timestamp": "02/04/2023 04:37:14",
"content": "think of the dots on the dice as the things you're allocating between the dice",
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"timestamp": "02/04/2023 04:37:21",
"content": "the bars are like fences between the dice",
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"timestamp": "02/04/2023 04:37:32",
"content": "But this would work ? So 3! * 6 / 6^3 ?",
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"timestamp": "02/04/2023 04:37:33",
"content": "and the dots are placed on the dice like marbles in a bucket",
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"timestamp": "02/04/2023 04:38:01",
"content": "no, because 1+4+4, for example, doesn't have 6 outcomes associated with it",
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"timestamp": "02/04/2023 04:38:09",
"content": "Fuck you’re right",
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"timestamp": "02/04/2023 04:38:39",
"content": "Let me just try and figure out why stars and bars applies",
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"timestamp": "02/04/2023 04:40:17",
"content": "Can you phrase this a little differently ? Not quite sure what allocating means english isn’t my first language sry haha",
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"author_name": "Saccharine",
"timestamp": "02/04/2023 04:41:46",
"content": "like let's say you want to figure out how many outcomes correspond to a sum of 10 on the dice",
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"timestamp": "02/04/2023 04:42:05",
"content": "that's basically asking \"how many different ways are there to put 10 dots into 3 buckets?\"",
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"timestamp": "02/04/2023 04:42:14",
"content": "I see",
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"timestamp": "02/04/2023 04:42:26",
"content": "So 10 stars and 2 bars ?",
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"timestamp": "02/04/2023 04:43:13",
"content": "yes",
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"timestamp": "02/04/2023 04:43:17",
"content": "But a dice can’t have more than 6",
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"timestamp": "02/04/2023 04:43:23",
"content": "So that fucks us no ?",
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"timestamp": "02/04/2023 04:44:02",
"content": "yeah basically you end up subtracting those outcomes out",
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"timestamp": "02/04/2023 04:44:07",
"content": "you can count those with stars and bars too LOL",
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"timestamp": "02/04/2023 04:44:15",
"content": "Hahaha",
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"timestamp": "02/04/2023 04:44:21",
"content": "Gotcha",
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"timestamp": "02/04/2023 04:44:29",
"content": "Thank you so much for the help bro",
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"timestamp": "02/04/2023 04:44:38",
"content": "And your patience loool",
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"timestamp": "02/04/2023 04:44:58",
"content": "Take care man ❤️ @Saccharine",
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] | help-9 | 4771f2e6c9834f40a4a4b75273e78836 |
201,284 | [
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] | help-9 | 67026fb6a5c04208b8b9d2f2e6f197cd |
201,285 | [
{
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"content": "sure",
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"content": "first expand the binomial (trust me on this)",
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"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:36:31",
"content": "you should get:",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:37:04",
"content": "$\\sum 16 + \\sum 24k/n + \\sum 9k^2/n^2$",
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"timestamp": "10/21/2022 21:37:07",
"content": "**Mr. Gamer**",
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"author_name": "at_trin",
"timestamp": "10/21/2022 21:37:14",
"content": "yeah I got that",
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"id": 1033192373628440700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:37:37",
"content": "now we can factor out constants",
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"id": 1033192458626027500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:37:57",
"content": "$16 \\sum 1 + 24/n \\sum k + 9/n^2 \\sum k^2$",
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"timestamp": "10/21/2022 21:38:00",
"content": "**Mr. Gamer**",
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"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:39:00",
"content": "this then reduces to the very simple problems of finding the sum of 1, sum of integers, and sum of squares",
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"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:39:09",
"content": "i think that's enough of a lead for you",
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"author_id": 382369175735369700,
"author_name": "at_trin",
"timestamp": "10/21/2022 21:39:13",
"content": "then I use the closed forms for k right?",
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"author_id": 382369175735369700,
"author_name": "at_trin",
"timestamp": "10/21/2022 21:39:21",
"content": "so k = n(n+1)/2",
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"author_name": "at_trin",
"timestamp": "10/21/2022 21:39:33",
"content": "and k^2 is n(n+1)(2n+1)/6",
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"timestamp": "10/21/2022 21:39:39",
"content": "yep",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:39:47",
"content": "and what is $\\sum 1$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/21/2022 21:39:49",
"content": "**Mr. Gamer**",
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"timestamp": "10/21/2022 21:42:14",
"content": "is it 1? I'm not sure",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:42:34",
"content": "it should vary with n, shouldn't it?",
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"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:42:44",
"content": "(1+1+1+1+1...) n times = ?",
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"id": 1033193708482474000,
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"timestamp": "10/21/2022 21:42:55",
"content": "n",
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"timestamp": "10/21/2022 21:42:59",
"content": "there you go",
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"author_name": "at_trin",
"timestamp": "10/21/2022 21:45:10",
"content": "",
"attachments": [
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"author_name": "at_trin",
"timestamp": "10/21/2022 21:45:16",
"content": "So I should get this?",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:45:20",
"content": "almost",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:45:25",
"content": "it's 24/n, not 24",
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"id": 1033194415998636000,
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"timestamp": "10/21/2022 21:45:44",
"content": "I see",
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"author_id": 382369175735369700,
"author_name": "at_trin",
"timestamp": "10/21/2022 21:45:50",
"content": "Thanks for helping",
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"id": 1033194794287120400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "10/21/2022 21:47:14",
"content": "👍",
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"author_name": "at_trin",
"timestamp": "10/21/2022 21:47:18",
"content": ".close",
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"id": 1033194811630559200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 21:47:18",
"content": "Channel closed",
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] | help-9 | 18f96a38230642cba90b905748c99144 |
201,286 | [
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"id": 1036762142235443300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 18:02:36",
"content": "Available help channel!",
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"author_id": 618730075528888300,
"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:09:24",
"content": "this is an older exam question and i was wondering how to sole f(x)= 0",
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"id": 1036763989822165100,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 18:09:57",
"content": "use double sin formula",
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"id": 1036764053198078100,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 18:10:12",
"content": "are you familiar with it?",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:10:31",
"content": "sadly no",
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"author_id": 510789298321096700,
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"timestamp": "10/31/2022 18:10:55",
"content": "**Modus**",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:11:20",
"content": "oh i have seen that one before, but nothing more than that",
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"id": 1036764462813810700,
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"author_name": "Modus",
"timestamp": "10/31/2022 18:11:50",
"content": "rewrite the equation and then factor cos(x)",
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"timestamp": "10/31/2022 18:11:58",
"content": "I believe you'll be able to continue",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:12:42",
"content": "hmm",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:13:00",
"content": "how will it look like when you factor it",
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"timestamp": "10/31/2022 18:13:29",
"content": "you can even factor 2cos(x) (or just divide both sides by 2)",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:13:39",
"content": "do you divide by cos^2(x) on everything to get a tan^2 functon",
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"timestamp": "10/31/2022 18:13:57",
"content": "nope, it's not necessary",
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"timestamp": "10/31/2022 18:14:14",
"content": "and I guess it would complicate",
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"id": 1036765085688930400,
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"timestamp": "10/31/2022 18:14:18",
"content": "the whole thing",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:14:44",
"content": "hmmm",
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"timestamp": "10/31/2022 18:16:31",
"content": "**Modus**",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:16:51",
"content": "cos x (cos x + sin x) = 0",
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"author_id": 618730075528888300,
"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:16:56",
"content": "is this also right",
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"id": 1036765801404977200,
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"timestamp": "10/31/2022 18:17:09",
"content": "yes",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:17:58",
"content": "so when cos x becomes 0(outside) makes sense like pi/2 but what about the inside",
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"timestamp": "10/31/2022 18:19:03",
"content": "you can do cos(x) = sin(π/2 - x) then sin(A)+sin(B) formula",
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"timestamp": "10/31/2022 18:19:22",
"content": "or just look at graphs of cos and sin",
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"timestamp": "10/31/2022 18:20:49",
"content": "srry didnt understand this",
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"timestamp": "10/31/2022 18:21:11",
"content": "u know how sin and cos look like?",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:21:32",
"content": "the graph you mean?",
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"id": 1036766957166395400,
"author_id": 264901235834880000,
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"timestamp": "10/31/2022 18:21:44",
"content": "y",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:21:49",
"content": "almost identical",
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"id": 1036767510038585300,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 18:23:56",
"content": "can you determine where they intersect",
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"author_name": "Ansh_",
"timestamp": "10/31/2022 18:26:44",
"content": "multiply with $\\frac{1}{\\sqrt{2}}$ and it's $\\cos x \\left(\\sin\\left(x + \\frac{\\pi}{4}\\right)\\right) = 0$",
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"timestamp": "10/31/2022 18:26:46",
"content": "**Arya**",
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"timestamp": "10/31/2022 18:27:01",
"content": "dont think so, i just found solution cheet on the test. They put did the same and put the inside = 0, and then just divide by tan",
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"timestamp": "10/31/2022 18:27:13",
"content": "either cos = 0, or sin(x + π/4) = 0",
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"timestamp": "10/31/2022 18:27:31",
"content": "can you find the solutions?",
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"timestamp": "10/31/2022 18:27:58",
"content": "aa ok",
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"content": "it's also a way",
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"timestamp": "10/31/2022 18:28:25",
"content": "yeah, the stuff you might now might be a bit difficult for me lmao",
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"timestamp": "10/31/2022 18:29:09",
"content": "they prob gonna do easier ones i hope, atleast this one is without pc, calculator and stuff",
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"timestamp": "10/31/2022 18:29:18",
"content": "idk if sin(a + b) is difficult for you or not. I remember it used to be basics",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:30:03",
"content": "is ''a''= x and ''b''= pi/4 arya? in this case I mean",
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"timestamp": "10/31/2022 18:30:36",
"content": "yeah, expanding gives you 1/√2 (sin x + cos x)",
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"id": 1036769294656221200,
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"timestamp": "10/31/2022 18:31:02",
"content": "but you discard the constant part cause it doesn't bother the equation",
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"id": 1036769378278060000,
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"timestamp": "10/31/2022 18:31:22",
"content": "so, (cos x)(sin (x + π/4)) = 0",
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"timestamp": "10/31/2022 18:31:46",
"content": "=> cos x = 0 || sin(x + π/4) = 0",
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"timestamp": "10/31/2022 18:32:08",
"content": "=> x = (2n + 1)π/2 || x + π/4 = mπ",
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"timestamp": "10/31/2022 18:32:13",
"content": "(ヘ･_･)ヘ┳━┳",
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"id": 1036769618926260200,
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"timestamp": "10/31/2022 18:32:19",
"content": "good luck finding all x",
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"author_name": "𝓢𝓹𝓻𝔂𝔃𝓮𝓷",
"timestamp": "10/31/2022 18:33:25",
"content": "oh wow, ill have to read it a few times, but thanks for the detailed response",
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"timestamp": "10/31/2022 18:34:33",
"content": ".close",
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] | help-9 | 486d76c8846c4c8e9e74e9357435d270 |
201,287 | [
{
"id": 1036770436811341800,
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{
"id": 1036772071465832400,
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"timestamp": "10/31/2022 18:43:06",
"content": "Confused with this subject and not sure how to answer?",
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"timestamp": "10/31/2022 18:44:03",
"content": "How does the amount change after the first year?",
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"timestamp": "10/31/2022 18:44:26",
"content": "@WhosYoDaddy",
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"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:45:43",
"content": "Uhm sorry but would it be 1200 x 0.055 (66) x 9 = 594. 594+1200 for the answer?",
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"id": 1036773047044145300,
"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:45:56",
"content": "Cause otherwise im stuck",
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"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:47:08",
"content": "Also not quite sure what you mean by that?",
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"id": 1036773402226217000,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:47:21",
"content": "Well",
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{
"id": 1036773491887833100,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:47:42",
"content": "If you are doing 1200 + 1200 * 0.055",
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"id": 1036773561177755800,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:47:59",
"content": "That is the same as 1200 * (1+0.055)",
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"id": 1036773602000912500,
"author_id": 556605492315815940,
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"timestamp": "10/31/2022 18:48:09",
"content": "Which is 1200 * 1.055",
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{
"id": 1036773644665360400,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:48:19",
"content": "Now think about what happens for the second year",
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"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:48:41",
"content": "Same thing again but with new answer?",
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"id": 1036773760541409300,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:48:46",
"content": "Yes exactly",
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"timestamp": "10/31/2022 18:48:50",
"content": "Wow!",
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{
"id": 1036773815100903400,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:48:59",
"content": "So if I say 2x2x2x2",
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"id": 1036773841504059400,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:49:06",
"content": "What’s another way to write that",
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"id": 1036773881253474300,
"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:49:15",
"content": "4x4?",
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{
"id": 1036773949985529900,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:49:32",
"content": "Because we are doing 1200x1.055x1.055x… 9 times",
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"id": 1036774060648042500,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:49:58",
"content": "Think about if I did 2x2x2 100 times",
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"author_name": "Synthetic",
"timestamp": "10/31/2022 18:50:11",
"content": "That’s 2^100",
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"id": 1036774149395329000,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:50:19",
"content": "So what would this be",
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"timestamp": "10/31/2022 18:52:28",
"content": "Basically u are repeating x1.055 for every new answer 9 times",
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"id": 1036774748643938300,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:52:42",
"content": "So repeated multiplication is just exponentation",
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"id": 1036774809201291300,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:52:56",
"content": "So 1.055^9",
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"id": 1036774922040643700,
"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:53:23",
"content": "ohhhh",
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"id": 1036774962310168600,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:53:33",
"content": "Do u understand why?",
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"id": 1036775034695450800,
"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:53:50",
"content": "Yes that actually makes a lot more sense now 😭",
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"id": 1036775049220341900,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:53:54",
"content": "Sick",
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},
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"id": 1036775101418446800,
"author_id": 721106035229851800,
"author_name": "WhosYoDaddy",
"timestamp": "10/31/2022 18:54:06",
"content": "Thank you so much i appreciate it 🙏",
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"id": 1036775133072863200,
"author_id": 556605492315815940,
"author_name": "Synthetic",
"timestamp": "10/31/2022 18:54:14",
"content": "Np bro",
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"id": 1036775165679390800,
"author_id": 721106035229851800,
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"timestamp": "10/31/2022 18:54:21",
"content": "Have a good rest of your day",
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"id": 1036775182871822300,
"author_id": 721106035229851800,
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"timestamp": "10/31/2022 18:54:25",
"content": "Au revoir",
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"timestamp": "10/31/2022 18:54:38",
"content": ".close",
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"timestamp": "10/31/2022 18:54:38",
"content": "Channel closed",
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] | help-9 | ed2a9023153540a69abf63c95259a6b4 |
201,288 | [
{
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"timestamp": "10/31/2022 19:00:52",
"content": "Available help channel!",
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{
"id": 1036776902674890800,
"author_id": 879344245499109400,
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"timestamp": "10/31/2022 19:01:15",
"content": "Can someone help me with this integral?",
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"content": "Pinned a message.",
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"content": ":JustAsk:",
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"content": "",
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"timestamp": "10/31/2022 19:03:17",
"content": "The substitution needs to be the entire integral itself",
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{
"id": 1036777544227233800,
"author_id": 879344245499109400,
"author_name": "Mathiass",
"timestamp": "10/31/2022 19:03:48",
"content": "As in u = arctan(sqrt(x+1))",
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"id": 1036777752721883100,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 19:04:38",
"content": "so",
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},
{
"id": 1036777777384407200,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 19:04:44",
"content": "find du and dx",
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{
"id": 1036777918254305300,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 19:05:18",
"content": "but",
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},
{
"id": 1036777938433089500,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "10/31/2022 19:05:22",
"content": "idk why this sub",
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"id": 1036777955881394200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "10/31/2022 19:05:27",
"content": "did you try `u = sqrt(x+1)`?",
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"timestamp": "10/31/2022 19:05:41",
"content": "oh wtf",
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"timestamp": "10/31/2022 19:06:08",
"content": "Yeah I think it would be easier if i could set u = sqrt(x+1)",
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"timestamp": "10/31/2022 19:06:15",
"content": "But not allowed.",
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"timestamp": "10/31/2022 19:06:35",
"content": "yea do this then",
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"timestamp": "10/31/2022 19:07:27",
"content": "I tried but got a little lost as I need to rewrite the entire thing",
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"timestamp": "10/31/2022 19:07:36",
"content": "So that i don’t get any x-variables",
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"timestamp": "10/31/2022 19:08:11",
"content": "Tried this but not sure how to proceed honestly",
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"timestamp": "10/31/2022 19:08:59",
"content": "your main issue is you need to express all your integration variables in terms of ONLY u",
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"timestamp": "10/31/2022 19:09:06",
"content": "NEVER a mix of u and x",
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"content": "sooooo do that first",
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"timestamp": "10/31/2022 19:09:38",
"content": "Yeah i know, but it is kind of hard when i need to set the substitution to be exactly arcsin(sqrt(x+1))",
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"timestamp": "10/31/2022 19:10:24",
"content": "solving for du i don't see how i can substitute the rest since it involves arctan",
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"timestamp": "10/31/2022 19:10:37",
"content": "you mean arcsin?",
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"timestamp": "10/31/2022 19:10:43",
"content": "yeah arcsin*",
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"timestamp": "10/31/2022 19:10:44",
"content": "sorry",
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"author_name": "riemann",
"timestamp": "10/31/2022 19:10:49",
"content": "use the definition of arcsine and solve for x in terms of u",
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"timestamp": "10/31/2022 19:11:20",
"content": "You can only solve the integral from a u substitution when what's inside the Integral is in terms of u",
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"timestamp": "10/31/2022 19:11:47",
"content": "And if you can't, then you have to look at other methods of solving it",
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"timestamp": "10/31/2022 19:12:22",
"content": "Yeah my notes are kind of messy. I wrote it that way so bc I tried to get an overlook about a possible substitution",
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"timestamp": "10/31/2022 19:12:40",
"content": "Hmm what definition specifically?",
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"timestamp": "10/31/2022 19:12:45",
"content": ",w arcsin",
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"timestamp": "10/31/2022 19:12:50",
"content": "Fair enough",
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"id": 1036779823789523000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/31/2022 19:12:52",
"content": "Results provided by WolframAlpha",
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"id": 1036779852793131300,
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"timestamp": "10/31/2022 19:12:59",
"content": "god dammit wolfie",
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"timestamp": "10/31/2022 19:13:06",
"content": "Wtf",
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"id": 1036779939560689700,
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"author_name": "riemann",
"timestamp": "10/31/2022 19:13:20",
"content": "https://en.wikipedia.org/wiki/Inverse_trigonometric_functions",
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"timestamp": "10/31/2022 19:13:38",
"content": "you should memorize this table",
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"timestamp": "10/31/2022 19:15:20",
"content": "by definition, you mean that \"y = arcsin(x) if and only if sin(y)\"?",
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"timestamp": "10/31/2022 19:16:30",
"content": "yes",
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"timestamp": "10/31/2022 19:17:36",
"content": "Because it's the derivative of arctan(sqrt(x+1))",
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"timestamp": "10/31/2022 19:17:47",
"content": "^",
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"author_name": "Oiler",
"timestamp": "10/31/2022 19:17:54",
"content": "Yeah I just realized",
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"id": 1036781357596147700,
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"author_name": "Mathiass",
"timestamp": "10/31/2022 19:18:58",
"content": "Still a litte lost on how to proceed with the definition of arcsine. Any hints?",
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"id": 1036781398847148000,
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"author_name": "riemann",
"timestamp": "10/31/2022 19:19:07",
"content": "that just means the domain is (-1, 0)",
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"id": 1036781461132558300,
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"timestamp": "10/31/2022 19:19:22",
"content": ".",
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"id": 1036781526261698700,
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"author_name": "riemann",
"timestamp": "10/31/2022 19:19:38",
"content": "u = arcsin(sqrt(x+1)). use definition of arcsin",
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"timestamp": "10/31/2022 19:21:44",
"content": "so solving for x i get x = sin^2(u) - 1",
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"id": 1036782122750455900,
"author_id": 879344245499109400,
"author_name": "Mathiass",
"timestamp": "10/31/2022 19:22:00",
"content": "Is that the way to proceed?",
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"timestamp": "10/31/2022 19:22:37",
"content": "Yes",
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"timestamp": "10/31/2022 19:22:47",
"content": "Sub that back in",
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"timestamp": "10/31/2022 19:28:13",
"content": "okay, will try that",
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 19:43:14",
"content": "@Mathiass Has your question been resolved?",
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"timestamp": "10/31/2022 19:58:14",
"content": "Channel closed",
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}
] | help-9 | 2c612c81fb9e4a32a508e512bb699f66 |
201,289 | [
{
"id": 1036791493857398800,
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"timestamp": "10/31/2022 19:59:14",
"content": "Available help channel!",
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},
{
"id": 1036792076836274300,
"author_id": 361308563332661250,
"author_name": "Mr. Camel999",
"timestamp": "10/31/2022 20:01:33",
"content": "I can't seem to figure out the last part of this problem. I'm pretty sure I'm interpreting it incorrectly",
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"timestamp": "10/31/2022 20:01:57",
"content": "(-12 is also not the answer)",
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},
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"id": 1036792220235350000,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "10/31/2022 20:02:07",
"content": "when is velocity equal to 0?",
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"id": 1036792235284496500,
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"timestamp": "10/31/2022 20:02:11",
"content": "did you solve for t when velocity = 0?",
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"timestamp": "10/31/2022 20:02:30",
"content": "I did not, I had plugged in 0 for t",
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"author_name": "Mr. Camel999",
"timestamp": "10/31/2022 20:02:40",
"content": "That would make more sense though",
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"timestamp": "10/31/2022 20:02:59",
"content": "it's important to read the problems carefully",
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"id": 1036792511752057000,
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"timestamp": "10/31/2022 20:03:17",
"content": "\"when the velocity is 0\" means solve for t when v=0",
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"timestamp": "10/31/2022 20:03:31",
"content": "Ah, gotcha",
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},
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"author_id": 361308563332661250,
"author_name": "Mr. Camel999",
"timestamp": "10/31/2022 20:03:32",
"content": "Thanks",
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},
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"id": 1036792582224740400,
"author_id": 361308563332661250,
"author_name": "Mr. Camel999",
"timestamp": "10/31/2022 20:03:34",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 20:03:34",
"content": "Channel closed",
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] | help-9 | c6747119c5064bf8bb5deeafbdfeac15 |
201,290 | [
{
"id": 1036794605871571100,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 20:11:36",
"content": "Available help channel!",
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},
{
"id": 1036796252840534000,
"author_id": 842328379750482000,
"author_name": "Nomic",
"timestamp": "10/31/2022 20:18:09",
"content": "I don't understand how to do this",
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"timestamp": "10/31/2022 20:18:10",
"content": "Pinned a message.",
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{
"id": 1036800012459454500,
"author_id": 382648779381145600,
"author_name": "Ru",
"timestamp": "10/31/2022 20:33:05",
"content": "you want to cancel the v's find w in terms of u",
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},
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"id": 1036800026556510200,
"author_id": 382648779381145600,
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"timestamp": "10/31/2022 20:33:09",
"content": "then do the reverse",
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"id": 1036800139739803800,
"author_id": 382648779381145600,
"author_name": "Ru",
"timestamp": "10/31/2022 20:33:36",
"content": "so start by getting v's by themselves for each equation",
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"timestamp": "10/31/2022 20:38:36",
"content": "@Nomic Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 20:52:15",
"content": "Channel closed",
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}
] | help-9 | d567ff90cd6248d0b61e8a85b1d21e6d |
201,291 | [
{
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"timestamp": "10/31/2022 20:53:15",
"content": "Available help channel!",
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},
{
"id": 1036809997046259700,
"author_id": 748587182951760000,
"author_name": "pattern",
"timestamp": "10/31/2022 21:12:46",
"content": "I am trying to solve this system of equation but I am unable to cancel anything out",
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"timestamp": "10/31/2022 21:12:46",
"content": "Pinned a message.",
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"author_id": 724453059828121600,
"author_name": "SlowBrosRUs",
"timestamp": "10/31/2022 21:14:18",
"content": "take your system of 3 equations and sub in 2D=8C-12",
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"author_id": 724453059828121600,
"author_name": "SlowBrosRUs",
"timestamp": "10/31/2022 21:14:26",
"content": "to get a system of 2 equations 2 var",
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"author_id": 724453059828121600,
"author_name": "SlowBrosRUs",
"timestamp": "10/31/2022 21:14:34",
"content": "and keep doing that to solve for one var",
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"author_id": 724453059828121600,
"author_name": "SlowBrosRUs",
"timestamp": "10/31/2022 21:14:37",
"content": "then go backwards",
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"author_name": "SlowBrosRUs",
"timestamp": "10/31/2022 21:14:43",
"content": "personally I would use cramer's rule though",
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"author_name": "pattern",
"timestamp": "10/31/2022 21:16:39",
"content": "@SlowBrosRUs i see it now thank you so much!",
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"author_name": "pattern",
"timestamp": "10/31/2022 21:16:43",
"content": ".close",
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},
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"id": 1036810993851969500,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 21:16:43",
"content": "Channel closed",
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}
] | help-9 | 8a78880a29884403bca195b3988282d7 |
201,292 | [
{
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"timestamp": "10/31/2022 21:16:45",
"content": ":)",
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"content": "Available help channel!",
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{
"id": 1036815784304976000,
"author_id": 616622657248690200,
"author_name": "bling",
"timestamp": "10/31/2022 21:35:46",
"content": "```Imagine you were given a standard deck of 52 cards. You are dealt four cards face-down and one card face up. The face-up card is the ace of clubs. Given this partial information that you have about your hand, how many different five card hands could you have been dealt such that you now have four cards of the same rank? (Note: A standard deck of cards is made of 13 sets of 4 cards of each rank)```",
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"timestamp": "10/31/2022 21:35:46",
"content": "Pinned a message.",
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"id": 1036816390348361900,
"author_id": 995657766041563100,
"author_name": "asuasu",
"timestamp": "10/31/2022 21:38:10",
"content": "24?",
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"id": 1036816420824174600,
"author_id": 616622657248690200,
"author_name": "bling",
"timestamp": "10/31/2022 21:38:17",
"content": "howd u get that?",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:38:36",
"content": "You can split in to two cases",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:39:12",
"content": "First those four cards with the same rank arent ace",
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"id": 1036816702815608800,
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:39:25",
"content": "There are 12 ways in this case",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:39:46",
"content": "The other case is four cards with the same rank are aces",
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"id": 1036816863025446900,
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:40:03",
"content": "The last card can be any rank except ace",
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"id": 1036816890359722100,
"author_id": 995657766041563100,
"author_name": "asuasu",
"timestamp": "10/31/2022 21:40:09",
"content": "Which is also 12 ways",
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{
"id": 1036817439457022100,
"author_id": 616622657248690200,
"author_name": "bling",
"timestamp": "10/31/2022 21:42:20",
"content": "oh",
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"id": 1036817453273075800,
"author_id": 616622657248690200,
"author_name": "bling",
"timestamp": "10/31/2022 21:42:23",
"content": "is it correct?",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:43:35",
"content": "I don’t know but i think it is lol",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:46:29",
"content": "Ok i think i missed something in the second case",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:47:31",
"content": "There are actually 48 ways in second case because it can be any cards",
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"author_name": "asuasu",
"timestamp": "10/31/2022 21:47:46",
"content": "So the answer should be 60? Probably",
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"timestamp": "10/31/2022 22:05:47",
"content": "@bling Has your question been resolved?",
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"author_name": "bling",
"timestamp": "10/31/2022 22:06:04",
"content": "@Helpers",
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"author_name": "bling",
"timestamp": "10/31/2022 22:10:09",
"content": "@Helpers s",
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"author_name": "bling",
"timestamp": "10/31/2022 22:12:03",
"content": "u got 48 or 60?",
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"timestamp": "10/31/2022 22:12:51",
"content": "60",
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"timestamp": "10/31/2022 22:42:03",
"content": "@bling Has your question been resolved?",
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"timestamp": "10/31/2022 22:47:08",
"content": "Channel closed",
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}
] | help-9 | 77d026bc640f4489b778122dad5e8ae2 |
201,293 | [
{
"id": 1036833998103654400,
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"author_name": "Mathematics Bot",
"timestamp": "10/31/2022 22:48:08",
"content": "Available help channel!",
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},
{
"id": 1036835472506355800,
"author_id": 175989134421131260,
"author_name": "Marco.",
"timestamp": "10/31/2022 22:54:00",
"content": "can the Kuhn Tucker Theorem only be applied to concave functions?",
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"timestamp": "10/31/2022 22:54:00",
"content": "Pinned a message.",
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"timestamp": "10/31/2022 23:09:00",
"content": "@Marco. Has your question been resolved?",
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"id": 1036846205658996700,
"author_id": 1017297369773125600,
"author_name": "Gene",
"timestamp": "10/31/2022 23:36:39",
"content": "Your objective function needs to be concave, and you need the constraints to be convex",
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"author_name": "Marco.",
"timestamp": "10/31/2022 23:39:52",
"content": "thank you! and this is a strict rule right? like these 2 conditions must be 100% met otherwise the KTT can't be used?",
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"author_name": "Gene",
"timestamp": "10/31/2022 23:40:07",
"content": "Yep correct",
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"id": 1036847151172567200,
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"author_name": "Marco.",
"timestamp": "10/31/2022 23:40:24",
"content": "thanks!",
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"id": 1036847249302503600,
"author_id": 175989134421131260,
"author_name": "Marco.",
"timestamp": "10/31/2022 23:40:47",
"content": "but then if this is not met then what could I use to maximise/minimise?",
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"id": 1036847269946867700,
"author_id": 175989134421131260,
"author_name": "Marco.",
"timestamp": "10/31/2022 23:40:52",
"content": "other than the KTT",
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"id": 1036847398053482600,
"author_id": 175989134421131260,
"author_name": "Marco.",
"timestamp": "10/31/2022 23:41:23",
"content": "should be the envelope theorem right?",
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"timestamp": "11/01/2022 00:11:23",
"content": "@Marco. Has your question been resolved?",
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"timestamp": "11/01/2022 01:39:59",
"content": "@Marco. Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | bb4228b06df64dd5830727e2240dea7e |
201,294 | [
{
"id": 1036898453697081300,
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"timestamp": "11/01/2022 03:04:16",
"content": "Available help channel!",
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},
{
"id": 1036900337556131800,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "11/01/2022 03:11:45",
"content": "how would u normally approximate this",
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"content": "Pinned a message.",
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"id": 1036903586262696000,
"author_id": 995657766041563100,
"author_name": "asuasu",
"timestamp": "11/01/2022 03:24:39",
"content": "P>=0.8 means the number of visitors more than 25 yo is 4 or 5",
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"id": 1036903718576197600,
"author_id": 995657766041563100,
"author_name": "asuasu",
"timestamp": "11/01/2022 03:25:11",
"content": "And the probability that each one of them is older than or younger than 25 is 1/2",
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},
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"id": 1036904283846750300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "11/01/2022 03:27:26",
"content": "...for a sample size of 5",
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"timestamp": "11/01/2022 03:32:26",
"content": "@KTB Has your question been resolved?",
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"timestamp": "11/01/2022 03:33:15",
"content": "okay thanks lads",
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"content": "Channel closed",
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] | help-9 | f45a5fcdd59f4b67a7c21ae54b12b207 |
201,295 | [
{
"id": 1036906010591379600,
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"timestamp": "11/01/2022 03:34:17",
"content": "Available help channel!",
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},
{
"id": 1036907115488477200,
"author_id": 229318440194670600,
"author_name": "Newton",
"timestamp": "11/01/2022 03:38:41",
"content": "what does this set mean?",
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"timestamp": "11/01/2022 03:38:42",
"content": "Pinned a message.",
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{
"id": 1036907377187885000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:39:43",
"content": "S is a part of all subsets (possibly infinite) of N",
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},
{
"id": 1036907519500632000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:40:17",
"content": "For A to be in S, it must verify the criteria on the left, which is a sort of bound on its density",
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{
"id": 1036907611834044400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:40:39",
"content": "Looking at it, I'd say that intuitively, it forces A to be very sparse",
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"id": 1036907722815316000,
"author_id": 229318440194670600,
"author_name": "Newton",
"timestamp": "11/01/2022 03:41:05",
"content": "so how would one element of this set look like?",
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},
{
"id": 1036907887747924000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:41:45",
"content": "Something like {1, 3, 14} could work",
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},
{
"id": 1036908006434152400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:42:13",
"content": "Infinite examples are going to be more complicated though",
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"id": 1036908087728148500,
"author_id": 229318440194670600,
"author_name": "Newton",
"timestamp": "11/01/2022 03:42:32",
"content": "so it would be a set with infinite elements?",
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{
"id": 1036908149250199600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:42:47",
"content": "S definitely is infinite",
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},
{
"id": 1036908176005681200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "11/01/2022 03:42:53",
"content": "That isn't hard to check",
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"timestamp": "11/01/2022 03:43:01",
"content": "do you think it is countable?",
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"content": "you can probably construct an infinite amount of sets",
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"timestamp": "11/01/2022 03:43:15",
"content": "that are all in S",
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"timestamp": "11/01/2022 03:43:37",
"content": "but im not sure if S is countable, my intuition tells me otherwise",
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"content": "Probably is unnecessary here",
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"content": "it is",
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"content": "S contains all the singletons",
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"timestamp": "11/01/2022 03:44:12",
"content": "hm alright",
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"content": "I'd say it's uncountable as well. In a way it doesn't feel restrictive enough if you think of an algorithmic construction of solutions",
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"timestamp": "11/01/2022 03:45:22",
"content": "I see, so A is an element of the power set of N, and the sum of the elements is smaller or equal to 2n?",
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"timestamp": "11/01/2022 03:45:38",
"content": "or how exactly can I understand this sum?",
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"timestamp": "11/01/2022 03:46:00",
"content": "For any n, the sum of the elements less than n is lower than 2n",
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"timestamp": "11/01/2022 03:46:08",
"content": "Which imposes a certain sparsity",
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"timestamp": "11/01/2022 03:46:24",
"content": "{1,2,3,4} doesn't work for example",
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"timestamp": "11/01/2022 03:46:41",
"content": "why? what would n be? 4?",
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"timestamp": "11/01/2022 03:46:50",
"content": "Yes",
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"timestamp": "11/01/2022 03:47:13",
"content": "ah and the sum of all elements is greater than 8",
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"timestamp": "11/01/2022 03:47:18",
"content": "so it's not an element of S",
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"timestamp": "11/01/2022 03:48:11",
"content": "right?",
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"timestamp": "11/01/2022 03:48:23",
"content": "Yes",
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"timestamp": "11/01/2022 03:48:31",
"content": "okay cool thanks.",
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"timestamp": "11/01/2022 03:48:41",
"content": "this is the hardest exercise we've got so far",
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"timestamp": "11/01/2022 03:48:49",
"content": "we have to prove if its countable or not",
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"timestamp": "11/01/2022 03:48:57",
"content": "not asking for a full answer tho",
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"timestamp": "11/01/2022 03:48:58",
"content": "im sure you have it",
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"timestamp": "11/01/2022 03:49:03",
"content": "wanna find it out myself",
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"timestamp": "11/01/2022 03:49:27",
"content": "if you think its countable, try and construct a bijection between it and the naturals/integers",
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"timestamp": "11/01/2022 03:49:48",
"content": "yeah exactly that's what would make it countable",
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"timestamp": "11/01/2022 03:49:49",
"content": "even if not like a rigorous one",
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"timestamp": "11/01/2022 03:50:15",
"content": "I think this course requires us to make it very formally tho",
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"timestamp": "11/01/2022 03:50:21",
"content": "no no",
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"content": "thats probably true",
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"content": "i just meant for the intuition",
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"content": "yeah sure",
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"timestamp": "11/01/2022 03:50:35",
"content": "you can prove it other ways",
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"timestamp": "11/01/2022 03:50:39",
"content": "without the bijection",
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"timestamp": "11/01/2022 03:51:02",
"content": "I think we suddenly agree that it's countable ?",
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"timestamp": "11/01/2022 03:51:03",
"content": "you can prove by contradiction that it's not uncountable then it must be countable since its infinite",
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"timestamp": "11/01/2022 03:51:10",
"content": "i dont",
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"timestamp": "11/01/2022 03:51:51",
"content": "Yeah I made a mistake in my reasoning",
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"timestamp": "11/01/2022 03:52:21",
"content": "but wouldn't {1,2,3,4} be part of the set if you would say that n = 5 or is that not allowed?",
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"timestamp": "11/01/2022 03:52:38",
"content": "For all n",
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"timestamp": "11/01/2022 03:52:54",
"content": "So no",
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"timestamp": "11/01/2022 03:53:12",
"content": "Because it doesn't work for n = 4",
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"timestamp": "11/01/2022 03:53:12",
"content": "ah so the last element has to be n got it",
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"timestamp": "11/01/2022 03:53:25",
"content": "Doesn't have to be",
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"timestamp": "11/01/2022 03:53:45",
"content": "because earlier you said {1,3,14} is a set",
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"timestamp": "11/01/2022 03:53:49",
"content": "For instance A = {2^n \\ n in N} is in S",
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"timestamp": "11/01/2022 03:54:05",
"content": "that is the hint we got",
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"timestamp": "11/01/2022 03:54:32",
"content": "ah",
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"timestamp": "11/01/2022 03:54:42",
"content": "so we have any power set of the natural numbers",
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"timestamp": "11/01/2022 03:55:13",
"content": "and if you choose n such that every element in the set is smaller or equal to n this sum must hold",
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"timestamp": "11/01/2022 03:55:26",
"content": "not necessarily",
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"timestamp": "11/01/2022 03:55:41",
"content": "so for 1,2,3,4",
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"timestamp": "11/01/2022 03:55:44",
"content": "if you have n = 2",
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"timestamp": "11/01/2022 03:55:47",
"content": "then 2n = 4",
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"timestamp": "11/01/2022 03:55:51",
"content": "and 1 + 2 = 3",
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"timestamp": "11/01/2022 03:55:54",
"content": "so it works for n = 2",
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"timestamp": "11/01/2022 03:56:01",
"content": "ah",
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"timestamp": "11/01/2022 03:56:03",
"content": "okay",
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"timestamp": "11/01/2022 03:56:05",
"content": "if you have n = 3 then 2n = 6",
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"timestamp": "11/01/2022 03:56:06",
"content": "I see",
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"timestamp": "11/01/2022 03:56:11",
"content": "and 1 + 2 + 3 = 6",
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"timestamp": "11/01/2022 03:56:21",
"content": "but for n = 4 it doesn't work",
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"timestamp": "11/01/2022 03:56:24",
"content": "okay",
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"timestamp": "11/01/2022 03:56:27",
"content": "now I got it",
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"timestamp": "11/01/2022 03:56:40",
"content": "so essentially you have to try every n in the natural numbers",
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"timestamp": "11/01/2022 03:56:45",
"content": "\"try\"",
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"timestamp": "11/01/2022 03:56:47",
"content": "but you get the idea",
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"timestamp": "11/01/2022 03:56:56",
"content": "yea",
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"timestamp": "11/01/2022 03:57:00",
"content": "now it is clear",
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"timestamp": "11/01/2022 03:57:02",
"content": "thx",
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"timestamp": "11/01/2022 03:57:34",
"content": "but I think I will go with a proof by contradiction it sounds like the easiest way to prove it",
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"timestamp": "11/01/2022 03:58:15",
"content": "My intuition is working on using this to make a surjection to R",
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"timestamp": "11/01/2022 03:58:27",
"content": "claim would be \"S is uncountable\", so proof \"S is countable\" and search for a contradiction",
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"timestamp": "11/01/2022 03:58:50",
"content": "I think I really have to use this as it is given in the hint",
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"timestamp": "11/01/2022 03:59:44",
"content": "but this is really the hardest exercise of this course I think I know smart people from last year that didn't get any points on a similar exercise lol",
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"timestamp": "11/01/2022 04:00:17",
"content": "I think you can rather easily construct a surjection with [0, 1[",
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"timestamp": "11/01/2022 04:00:23",
"content": "Which is enough",
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"timestamp": "11/01/2022 04:01:02",
"content": "okay that is interesting",
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"timestamp": "11/01/2022 04:01:17",
"content": "so if you got a bijection it would mean it is countable right?",
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"timestamp": "11/01/2022 04:01:46",
"content": "or is it only countable with an injection into the natural numbers",
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"content": "?",
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"timestamp": "11/01/2022 04:01:57",
"content": "bijection between two sets would mean set A has the same number of elements as set B",
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"timestamp": "11/01/2022 04:02:10",
"content": "mateo constructed a bijection between S and [0,1[",
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"timestamp": "11/01/2022 04:02:16",
"content": "ah yea right",
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"timestamp": "11/01/2022 04:02:26",
"content": "thus S has the same number of elements as [0,1[",
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"timestamp": "11/01/2022 04:02:28",
"content": "which is?",
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"timestamp": "11/01/2022 04:02:50",
"content": "which would mean it is uncountable since the number of elements in [0,1[ is uncountable",
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"timestamp": "11/01/2022 04:02:53",
"content": "yep",
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"timestamp": "11/01/2022 04:03:10",
"content": "because this interval has the same amount of elements as the real numbers",
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"timestamp": "11/01/2022 04:03:17",
"content": "or idk the english word for it",
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"author_name": "Newton",
"timestamp": "11/01/2022 04:03:30",
"content": "real numbers and this interval have the same \"might\"",
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"timestamp": "11/01/2022 04:03:38",
"content": "cardinality",
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"timestamp": "11/01/2022 04:03:45",
"content": "ah yeah right",
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"timestamp": "11/01/2022 04:04:56",
"content": "learning about this is insanely fun but also hard lol",
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"timestamp": "11/01/2022 04:05:14",
"content": "welcome to math lol",
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"timestamp": "11/01/2022 04:05:36",
"content": "yeah but linear algebra math is kinda different to this kind of math lol",
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"timestamp": "11/01/2022 04:05:48",
"content": "it's abstract af",
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"timestamp": "11/01/2022 04:05:52",
"content": "well yes",
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"timestamp": "11/01/2022 04:05:58",
"content": "math is usually not very concrete",
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"timestamp": "11/01/2022 04:07:37",
"content": "Hint: ||try to link a number to a subset of B = {2^n \\ n in N} using the expansion of the number (in what base ?)||",
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"timestamp": "11/01/2022 04:10:34",
"content": "how would the set B look like?\n\n{2,4,8,16,..} ?",
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"timestamp": "11/01/2022 04:11:11",
"content": "Yes",
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"timestamp": "11/01/2022 04:11:29",
"content": "Starting with 1 or not depending on conventions",
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"timestamp": "11/01/2022 04:13:27",
"content": "couldn't we link the sets {1},{2},..etc in a to this set B?",
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"timestamp": "11/01/2022 04:14:37",
"content": "like I would say the set B is countable",
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"timestamp": "11/01/2022 04:14:56",
"content": "ah but you are saying a subset that needs to be linked to a number I see",
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"timestamp": "11/01/2022 04:15:12",
"content": "I'm talking about P(B) here",
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"timestamp": "11/01/2022 04:15:20",
"content": "ah",
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"timestamp": "11/01/2022 04:15:49",
"content": "Which is actually rather silly",
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"timestamp": "11/01/2022 04:16:09",
"content": "so\n{1} linked with {{2}}\n{2} linked with {{2},{2,4}}\n.\n.\n.",
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"timestamp": "11/01/2022 04:16:17",
"content": "Because P(N) would work the same way, except that P(N) isn't in S",
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"timestamp": "11/01/2022 04:17:12",
"content": "That's not a surjection to R",
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"timestamp": "11/01/2022 04:18:47",
"content": "I will think about it",
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"timestamp": "11/01/2022 04:19:18",
"content": "so, what you are basically saying I have to find a surjection from P(B) to R?",
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"timestamp": "11/01/2022 04:19:46",
"content": "Think of how there's an injection from [0, 1[ to P(N)",
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"timestamp": "11/01/2022 04:19:57",
"content": "And notice N and B are in bijection",
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"timestamp": "11/01/2022 04:21:41",
"content": "yeah I mean P(N) is uncountable because it's the power set of N and [0,1[ has the same cardinality as R",
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"timestamp": "11/01/2022 04:21:51",
"content": "Fixed it",
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"timestamp": "11/01/2022 04:22:34",
"content": "this is easy I mean they have the same cardinality since you can map 1,2,3,4 onto B",
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"timestamp": "11/01/2022 04:22:45",
"content": "right?",
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"timestamp": "11/01/2022 04:23:25",
"content": "n -> 2^n is a bijection",
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"timestamp": "11/01/2022 04:23:35",
"content": "yea",
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"timestamp": "11/01/2022 04:24:08",
"content": "for me it's intuitively clear why but how do you prove it exactly",
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"timestamp": "11/01/2022 04:24:25",
"content": "This ?",
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"timestamp": "11/01/2022 04:24:29",
"content": "yea",
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"timestamp": "11/01/2022 04:24:57",
"content": "Reciprocal bijection",
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"author_name": "Newton",
"timestamp": "11/01/2022 04:24:58",
"content": "it means that it is both surjective and injective but what does it exactly mean",
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"timestamp": "11/01/2022 04:25:29",
"content": "Are you saying that you're studied countability and it isn't clear to you what bijective means ?",
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"id": 1036919042193240000,
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"timestamp": "11/01/2022 04:26:04",
"content": "I mean I know what it means but I haven't understood the concept fully yet",
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"timestamp": "11/01/2022 04:26:39",
"content": "an injection from A to B means that every Element in A can be mapped onto one unique element in B right?",
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"timestamp": "11/01/2022 04:26:50",
"content": "and surjection is the other way around?",
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"timestamp": "11/01/2022 04:27:54",
"content": "so bijection would mean both are the case so both of them have the same cardinality?",
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"timestamp": "11/01/2022 04:28:40",
"content": "By definition yes",
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"timestamp": "11/01/2022 04:29:10",
"content": "f is injective iff x != y => f(x) != f(y)",
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"timestamp": "11/01/2022 04:29:27",
"content": "f surjective iff for all y, there exists x such that f(x) = y",
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"timestamp": "11/01/2022 04:29:55",
"content": "okay so how exactly is the reasoning to say that N -> 2^n is bijective?",
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"timestamp": "11/01/2022 04:30:31",
"content": "that is clear to me but how can you give a plausible argument that it is the case for two sets",
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"timestamp": "11/01/2022 04:30:42",
"content": "I have faith that if you were to actually try, it wouldn't be hard",
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"timestamp": "11/01/2022 04:30:51",
"content": "okay okay",
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"timestamp": "11/01/2022 04:32:25",
"content": "so:\nsince every element in 2^n can be mapped onto every natural number (2^0 is mapped onto 0, 2^1 is mapped onto 1 etc.) and also the other way around the sets are bijective?",
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"timestamp": "11/01/2022 04:32:30",
"content": "is that correct?",
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"timestamp": "11/01/2022 04:33:28",
"content": "that's the idea. Can't call it a proof though",
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"timestamp": "11/01/2022 04:33:46",
"content": "okay I see",
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"timestamp": "11/01/2022 04:33:59",
"content": "so you would need to fully proof this idea",
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"timestamp": "11/01/2022 04:34:59",
"content": "well, couldn't you just say because n is an element of N that every element in 2^n has to have a mapping onto N?",
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"timestamp": "11/01/2022 04:35:33",
"content": "I would not know how to really proof it",
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"timestamp": "11/01/2022 04:35:38",
"content": "a proof needs to have a certain degree of rigor",
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"timestamp": "11/01/2022 04:35:40",
"content": "this isn't it",
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"timestamp": "11/01/2022 04:36:45",
"content": "the thing is I didnt really get the grip on how to proof something yet",
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"timestamp": "11/01/2022 04:37:10",
"content": "would I need to prove it with definitions? with words? with sketches?",
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"timestamp": "11/01/2022 04:37:10",
"content": "first rigorous math course ?",
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"timestamp": "11/01/2022 04:37:15",
"content": "yes",
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"timestamp": "11/01/2022 04:38:07",
"content": "unless it's so simple that you can just write in a succession of logic symbols (like a computation in numerical or logical terms) you use words yes",
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"timestamp": "11/01/2022 04:40:25",
"content": "exemple of simple proof: \ninjectivity: Let n, m be in N.\nf(n) = f(m) => 2^n = 2^m => 2^(n-m) = 1 => n-m = log_2 1 = 0 => n = m\n(here I use logs because otherwise you prove it's injective by induction (by showing it's strictly increasing) and that actually needs to be written out)",
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"timestamp": "11/01/2022 04:42:44",
"content": "surjectivity: honestly, that one is obvious to the point where it's painful for me to write it here (at some point you can say things are obvious), but here we go \nLet y in B. By definition, there exists n in N such that y = 2^n. Then y = f(n).",
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"timestamp": "11/01/2022 04:44:20",
"content": "oh could the proof for injectivity be an indirect proof where you say that 2^n and 2^m points to the same element and it turns out the inverse is true?",
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"timestamp": "11/01/2022 04:44:44",
"content": "wdym the inverse it true",
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"timestamp": "11/01/2022 04:44:49",
"content": "so",
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"author_name": "Newton",
"timestamp": "11/01/2022 04:45:07",
"content": "let's say we want to prove injectivity",
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"timestamp": "11/01/2022 04:47:18",
"content": "2^m != 2^n => f(n) != f(m)\n\nfor an indirect proof we need to show that\n\nf(n) = f(m) => 2^m=2^n \nand that would proof injectivity",
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"timestamp": "11/01/2022 04:48:29",
"content": "that's what I did",
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"timestamp": "11/01/2022 04:48:40",
"content": "yea so an indirect proof",
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"timestamp": "11/01/2022 04:48:59",
"content": "These two implications (if you put the forall before them) are equivalent, but we don't call them direct and indirect",
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"timestamp": "11/01/2022 04:49:09",
"content": "instead we say one is the contrapositive of the other",
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"timestamp": "11/01/2022 04:49:16",
"content": "I see",
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"timestamp": "11/01/2022 04:49:32",
"content": "direct and indirect is usually used to describe the 2 implications of an equivalence",
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"timestamp": "11/01/2022 04:49:38",
"content": "=>: direct\n<=: indirect",
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"timestamp": "11/01/2022 04:50:38",
"content": "Okay good",
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"author_name": "Newton",
"timestamp": "11/01/2022 04:51:16",
"content": "And with the same principle we show that [0,1[ is an injection on S?",
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"timestamp": "11/01/2022 04:51:41",
"content": "a function is an injection, not a set",
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"author_name": "Newton",
"timestamp": "11/01/2022 04:52:42",
"content": "Ah yea but you could map every element in [0,1[ onto P(N)",
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"timestamp": "11/01/2022 04:53:30",
"content": "yes",
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"timestamp": "11/01/2022 04:53:46",
"content": "that's what I had in mind when I said this",
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"author_name": "themateo713",
"timestamp": "11/01/2022 04:54:10",
"content": "and here you do the exact same thing with B instead of N because P(B) is included in S and P(N) isn't",
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"timestamp": "11/01/2022 04:54:18",
"content": "just a small sleight of hand",
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"timestamp": "11/01/2022 04:55:01",
"content": "if you already know that [0, 1[ and P(N) are in bijection (or even just a injection in the right way) you can conclude directly though",
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"timestamp": "11/01/2022 04:56:54",
"content": "Okay",
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"author_name": "Newton",
"timestamp": "11/01/2022 04:57:24",
"content": "I will try it out now I think now I know everything I need to know",
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"timestamp": "11/01/2022 04:57:45",
"content": "So I can solve it",
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"timestamp": "11/01/2022 05:12:45",
"content": "@Newton Has your question been resolved?",
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] | help-9 | dab5fcb230e54a1fbebee159a7398ecb |
201,296 | [
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"timestamp": "10/21/2022 21:52:11",
"content": "uh, i need help with something that is probably stupid, but i kinda need to know why this happens",
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"author_name": "Akakioh",
"timestamp": "10/21/2022 21:52:39",
"content": "got asked to, uh, \"simplify\"? i dont know the term in english, but ended up with this problem",
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{
"id": 1033196258254393300,
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"author_name": "Zybikron",
"timestamp": "10/21/2022 21:53:03",
"content": "2 and -2 aren't the same base, you can't subtract exponents like that",
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"content": "oh",
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"id": 1033196440916344800,
"author_id": 307914411648090100,
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"timestamp": "10/21/2022 21:53:47",
"content": "U could change the first term in the numerator to ((-1)^15)*(2^15)",
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"content": "Then simplify",
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"content": "((-1)^15) is just -1 so",
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"content": "hmmm, ty ty",
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"timestamp": "10/21/2022 21:55:30",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | cafb7ba588284570b816b022bee07d9c |
201,297 | [
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"content": "uh oh",
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"timestamp": "11/01/2022 05:33:35",
"content": "@0183x8204x1839x1047x1537 What did you do to begin ?",
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"timestamp": "11/01/2022 05:35:18",
"content": "Idk",
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"content": "Maybe start with isolating x ?",
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"author_name": "dog.",
"timestamp": "11/01/2022 05:36:32",
"content": "thats the whole answer",
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"timestamp": "11/01/2022 05:36:49",
"content": "Yes",
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"timestamp": "11/01/2022 05:36:58",
"content": "not exactly a great first step",
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"timestamp": "11/01/2022 05:37:04",
"content": "you could just say start by solving it",
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"timestamp": "11/01/2022 05:37:07",
"content": "yes it is",
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"timestamp": "11/01/2022 05:37:25",
"content": "After this he need to put it to the p+qsqrt(2) form",
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"timestamp": "11/01/2022 05:37:32",
"content": "sure",
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"author_name": "ByShaDowZ",
"timestamp": "11/01/2022 05:38:00",
"content": "so @0183x8204x1839x1047x1537 are you able to isolate x ?",
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"timestamp": "11/01/2022 05:39:42",
"content": "after isolating x he still needs to rationalise the denominator",
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"timestamp": "11/01/2022 05:39:51",
"content": "to get the answer in the desired form",
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"timestamp": "11/01/2022 05:41:07",
"content": "that's what i said",
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"timestamp": "11/01/2022 05:45:52",
"content": "lol",
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"content": "@0183x8204x1839x1047x1537 Has your question been resolved?",
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"timestamp": "11/01/2022 06:27:48",
"content": "@0183x8204x1839x1047x1537 Has your question been resolved?",
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] | help-9 | 9ef30f15388e4fcda8c00f3ecb48eb14 |
201,298 | [
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"timestamp": "11/01/2022 07:28:30",
"content": "Hi",
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"content": "Can anyone tell me which part I’m wrong? The final answer should not have 1",
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"content": "@Helpers",
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"content": "I think it's the part where you integrate y'",
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"content": "May I know which part?",
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"content": "im sorry mate but thats chinese",
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"timestamp": "11/01/2022 07:40:13",
"content": "why can't you simply say B'=B+1 ?",
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"content": "will it change smth?",
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"timestamp": "11/01/2022 07:40:30",
"content": "In the computation of $\\int \\frac{x}{1+Ax}\\mathrm{d}x$",
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"content": "**black\\_couscous**",
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"content": "I thought done like that",
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"content": "are the A and B precisely those described in the correction? or does it just says they are constants?",
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"content": "A and B are constant",
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"timestamp": "11/01/2022 07:44:38",
"content": "then just write B'=B+1",
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"timestamp": "11/01/2022 07:44:44",
"content": "its still a constant",
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"content": "Oh, I see",
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"timestamp": "11/01/2022 07:45:07",
"content": "because all the above seems true to me",
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"content": "Forget about this",
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"timestamp": "11/01/2022 07:45:15",
"content": "Thanks",
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"content": ".close",
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] | help-9 | 46d7177a85554d1cb01a522fcdd87661 |
201,299 | [
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"content": "Available help channel!",
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"content": "@Th350eo \nI’m asking for the help",
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"content": "Why would you say that",
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"content": "i know",
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"content": "its because",
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"content": "im IN YEAR 11 WHATS THIS SHIT",
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"content": "Oh okay sorry for my handwriting",
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"content": "@*___* 9 since u seem smart can u help me #help-1｜lebenmus",
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"content": "my guys doing the aussie curriculum",
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"content": "im in ip",
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"content": "lol",
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"content": "ip",
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"content": "?",
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"timestamp": "11/01/2022 08:01:51",
"content": "i don't even know what is year 11 😅",
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"content": "international program",
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"timestamp": "11/01/2022 08:02:40",
"content": "well can you help me out?",
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"content": "since yk",
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"author_name": "Th350eo",
"timestamp": "11/01/2022 08:02:47",
"content": "i wanna passsssssss",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "11/01/2022 08:02:47",
"content": "After year 10",
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"content": "yesyes",
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"content": "Before year 12",
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"content": "I’m doing Australian and tmr is my final",
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"timestamp": "11/01/2022 08:03:05",
"content": "Ok that's pretty simple. You can split the additions/substractions to different integrals",
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"content": "idk the english scholar system",
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"timestamp": "11/01/2022 08:03:17",
"content": "i cnat i havent done that yet",
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"timestamp": "11/01/2022 08:03:25",
"content": "same its exam block",
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"timestamp": "11/01/2022 08:03:35",
"content": "Whole world use the same concept",
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"timestamp": "11/01/2022 08:03:36",
"content": "whoever does this gets free money (jk im broke)",
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"timestamp": "11/01/2022 08:03:47",
"content": "Stop",
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"timestamp": "11/01/2022 08:03:50",
"content": "Hey I’m asking",
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"timestamp": "11/01/2022 08:04:00",
"content": "Yea Theo leave",
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"timestamp": "11/01/2022 08:04:00",
"content": "then you use cos(x) ' = -sin(x)",
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"timestamp": "11/01/2022 08:04:09",
"content": "Correct",
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"content": "im getting cyber bullied dam",
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"timestamp": "11/01/2022 08:04:29",
"content": "and sin(x+ pi/2) = cos(x)",
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"timestamp": "11/01/2022 08:04:54",
"content": "and you can finish calculating",
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"author_name": "*___* 9",
"timestamp": "11/01/2022 08:05:01",
"content": "We don’t have to care about what inside the bracket? Since before x is just 1?",
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"id": 1036974177271418900,
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"timestamp": "11/01/2022 08:05:09",
"content": "-cos'(x+pi/2)=sin(x+pi/2)",
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"content": "(with a - )",
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"timestamp": "11/01/2022 08:05:44",
"content": "cuz cos'(x) = -sin(x)",
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"timestamp": "11/01/2022 08:05:50",
"content": "Yea",
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"author_name": "sloppymope",
"timestamp": "11/01/2022 08:05:57",
"content": "Sry bout that",
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"author_id": 690008822508683300,
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"timestamp": "11/01/2022 08:06:08",
"content": "I’ll try fist",
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"timestamp": "11/01/2022 08:07:19",
"content": "Do I need plus 1 here?",
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"content": "It's plus x",
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"content": "x'=1",
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"timestamp": "11/01/2022 08:08:02",
"content": "I gtg",
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"timestamp": "11/01/2022 08:13:50",
"content": "Is 2 plus 2pi and 4 plus pi the same?",
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"id": 1036976557920636900,
"author_id": 543815853918126100,
"author_name": "Warx",
"timestamp": "11/01/2022 08:14:37",
"content": "you forgot a minus in the second bracket before the cos(x-pi/2)",
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"timestamp": "11/01/2022 08:15:28",
"content": "😭😭😭",
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{
"id": 1036976835558375600,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/01/2022 08:15:43",
"content": "Wait, is there any tips on differentiation and integration?",
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"id": 1036976868055859300,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/01/2022 08:15:51",
"content": "My exam is in 10 hours",
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"id": 1036976940428574700,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/01/2022 08:16:08",
"content": "I have probability, logarithm and so on",
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"timestamp": "11/01/2022 08:16:24",
"content": "answer is 4 + pi i think",
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"timestamp": "11/01/2022 08:16:46",
"content": "Answer is 4 plus pi",
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"id": 1036977275406663700,
"author_id": 543815853918126100,
"author_name": "Warx",
"timestamp": "11/01/2022 08:17:28",
"content": "learning by heart the usual derivatives",
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"timestamp": "11/01/2022 08:17:51",
"content": "no tricks, its useful everywhere",
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"id": 1036977399839064000,
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"timestamp": "11/01/2022 08:17:58",
"content": "Okay",
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"id": 1036977566252277800,
"author_id": 690008822508683300,
"author_name": "*___* 9",
"timestamp": "11/01/2022 08:18:37",
"content": "Btw thank you for the help",
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"id": 1036977604021997600,
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"timestamp": "11/01/2022 08:18:46",
"content": "np",
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"id": 1036977696795795500,
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"timestamp": "11/01/2022 08:19:09",
"content": ".close",
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"timestamp": "11/01/2022 08:19:09",
"content": "Channel closed",
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] | help-9 | 17558e2aed1542539b4cf3d7261d6450 |
201,300 | [
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"content": "Available help channel!",
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] | help-9 | 2de43e9310884a688c424ed9265bb4ec |
201,301 | [
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"author_id": 792080903970095100,
"author_name": "Gatman Vitalie",
"timestamp": "11/01/2022 09:20:02",
"content": "Why sigma i^2 is =(n+1)(2n+1)/6",
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},
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"id": 1036994884856467500,
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"content": "I am currently attempting question b",
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"timestamp": "11/01/2022 09:33:49",
"content": "This is the mark scheme and I absolutely have no idea how it got from basic algebra to",
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"timestamp": "11/01/2022 09:34:09",
"content": "A sudden conclusion that (S-1) - (S-a) = a-1",
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{
"id": 1036996670669476000,
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"timestamp": "11/01/2022 09:34:32",
"content": "How did they get that the number of possible values for a would be (S-1) - (S-a)",
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"timestamp": "11/01/2022 09:37:52",
"content": "oh not the powerpuff gurl all grownup",
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"timestamp": "11/01/2022 09:49:33",
"content": "@soupy Has your question been resolved?",
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"timestamp": "11/01/2022 09:56:21",
"content": "guys google NNN",
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"id": 1037003046896545800,
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"timestamp": "11/01/2022 09:59:52",
"content": "HUH",
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"timestamp": "11/01/2022 10:00:14",
"content": "Yes buttercup does math",
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] | help-9 | deaab353b2e44a72934356ca778b32d8 |
201,302 | [
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"content": ".reopen",
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"timestamp": "11/01/2022 10:05:50",
"content": "✅",
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{
"id": 1037005794882879600,
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"author_name": "soupy",
"timestamp": "11/01/2022 10:10:48",
"content": "@Helpers",
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"id": 1037006467221430400,
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"content": "oh",
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"timestamp": "11/01/2022 10:13:36",
"content": "so ya need help still huh?",
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"timestamp": "11/01/2022 10:13:58",
"content": "ye lol helpers i hand this one to you guys",
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"timestamp": "11/01/2022 10:14:12",
"content": "ill come back in 6 months when i actually learn it",
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"id": 1037006662847971500,
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"timestamp": "11/01/2022 10:14:15",
"content": "kachooo",
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"timestamp": "11/01/2022 10:25:48",
"content": "@soupy Has your question been resolved?",
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"author_name": "BanderaDeGuerra",
"timestamp": "11/01/2022 10:31:23",
"content": "Must suppress the horny",
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"timestamp": "11/01/2022 10:31:34",
"content": "YES",
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"author_name": "idk man",
"timestamp": "11/01/2022 10:31:40",
"content": "SURVIVE THIS MONETH",
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"id": 1037011077285818500,
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"author_name": "idk man",
"timestamp": "11/01/2022 10:31:47",
"content": "THEN WE THRIVE THE LIFETIME",
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"id": 1037011610809663600,
"author_id": 726621464350163000,
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"timestamp": "11/01/2022 10:33:54",
"content": "Yes",
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"author_name": "BanderaDeGuerra",
"timestamp": "11/01/2022 10:34:35",
"content": "Remember to do your pulls ups or smth",
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"id": 1037011822940790800,
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"timestamp": "11/01/2022 10:34:45",
"content": "yeeee lol",
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"id": 1037011916322779300,
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"author_name": "idk man",
"timestamp": "11/01/2022 10:35:07",
"content": "anyways have a good month",
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"id": 1037011925235683300,
"author_id": 961330721753038800,
"author_name": "idk man",
"timestamp": "11/01/2022 10:35:09",
"content": "😉",
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"author_name": "Mathematics Bot",
"timestamp": "11/01/2022 11:10:11",
"content": "@soupy Has your question been resolved?",
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"timestamp": "11/01/2022 11:50:23",
"content": "^",
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"author_name": "soupy",
"timestamp": "11/01/2022 11:50:39",
"content": "Ignore the random convo above",
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"timestamp": "11/01/2022 12:50:40",
"content": "@soupy Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 5b7df780836a4fa38786b288e60897ff |
201,303 | [
{
"id": 1037061377010966500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/01/2022 13:51:39",
"content": "Available help channel!",
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{
"id": 1037061594133315600,
"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:52:31",
"content": "I need a little help",
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},
{
"id": 1037061596775715000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/01/2022 13:52:32",
"content": "Pinned a message.",
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:53:22",
"content": "```py\n(8*sin(30))/3 = sin(B)\n```",
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"id": 1037062025345507500,
"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:54:14",
"content": "When I do (8*sin(30))/3 I only receive 1.3333 on calculator",
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"id": 1037062200193462400,
"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:54:56",
"content": "the question is, is that the sin(B) degree that I found?",
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},
{
"id": 1037062257370206200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "11/01/2022 13:55:09",
"content": "you want to find B?",
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"id": 1037062275107913900,
"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:55:14",
"content": "yes",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "11/01/2022 13:55:28",
"content": "so sin(B) = 4/3",
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{
"id": 1037062436961927300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/01/2022 13:55:52",
"content": ",calc 4/3",
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"id": 1037062438534783000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/01/2022 13:55:53",
"content": "Result:\n```\n1.3333333333333\n```",
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"author_name": "riemann",
"timestamp": "11/01/2022 13:55:56",
"content": "checks out",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "11/01/2022 13:55:57",
"content": "use inverse sine function to obtain B",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:56:00",
"content": "yes it seems like it",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:56:24",
"content": "Okay so I did not obtain angle B?",
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"author_name": "Navix",
"timestamp": "11/01/2022 13:56:35",
"content": "you obtained sin(B), not B",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:57:20",
"content": "What is the difference?",
"attachments": [],
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "11/01/2022 13:58:24",
"content": "sin(B) gives you a number between -1 and 1. angles can be between 0-360 degrees or 0-2pi radians",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "11/01/2022 13:58:52",
"content": "the sin function takes as an input an angle, but does not return an angle (in the geometric sense)",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:59:30",
"content": "okay but can you please explain to me why sin(B) is greater than one?",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:59:41",
"content": "sin(B) = 4/3",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 13:59:45",
"content": "in this case",
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:01:26",
"content": "you gave us this information.\n\n8*sin(30) = 8 * 0.5 = 4\n\n4/3 = sin(B)\nbut that doesn't exist as far as I know",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:02:03",
"content": "what exactly does not exist?",
"attachments": [],
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:02:21",
"content": "a sine value greater than 1,or lower than -1",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:02:44",
"content": "but the sine value is greater than 1",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:02:50",
"content": "we saw it",
"attachments": [],
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:02:52",
"content": "yeah that's weird",
"attachments": [],
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:03:51",
"content": "so when I do it like this I will always return the sine value correct?",
"attachments": [],
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:04:28",
"content": "There's something wrong in this equation, I assume. But I don't have enough context to tell you what is wrong.",
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:05:29",
"content": "yeah well, the sine value of B is 4/3, yes.\nYou would do arcsin(4/3) to get the angle.\narcsin is the inverse function of sine",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:06:38",
"content": "Let me give you the full context. The task is: ```py\nFind unknown angles and sides in triangle ABC\n<A = 30 degrees, AC = 8 and BC = 3\n```",
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"timestamp": "11/01/2022 14:08:41",
"content": "i assume you tried to use the law of sines",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:09:04",
"content": "",
"attachments": [
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"timestamp": "11/01/2022 14:09:11",
"content": "correct",
"attachments": [],
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"author_name": "Navix",
"timestamp": "11/01/2022 14:09:24",
"content": "the eqn should look like this then:\nsin30/3 = sinB/8",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:09:35",
"content": "yes",
"attachments": [],
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"id": 1037065918553014300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "11/01/2022 14:09:42",
"content": "one sec",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:10:50",
"content": "Then further on I multiply both sides with 8. To get sin B alone",
"attachments": [],
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"author_id": 779855051572510700,
"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:20:51",
"content": "do you know if it is a right-angled triangle, or an arbitrary triangle?",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:23:03",
"content": "I don't know",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:23:15",
"content": "^",
"attachments": [],
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},
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"id": 1037069351498551400,
"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:23:21",
"content": "This is all I know",
"attachments": [],
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},
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:23:50",
"content": "what happend to @Navix",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:23:54",
"content": "he just bolted",
"attachments": [],
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},
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:24:07",
"content": "the same with you @lanz🍁",
"attachments": [],
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"timestamp": "11/01/2022 14:24:52",
"content": "But I conclude no solution",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:25:24",
"content": "bc current sin value is greater than 1",
"attachments": [],
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},
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"id": 1037069916454527100,
"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:25:35",
"content": "what do you think?",
"attachments": [],
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"author_id": 779855051572510700,
"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:37:41",
"content": "so the hypotenuse would be twice the opposite side of our angle ∠A, which is 3... that is if the triangle is right-angled.\nThat would mean the longest side must be 6, but we know side AC is 8, so we can safely say it isn't right-angled.\nI am a little confused as to why your equation is like that, but maybe using law of cosines can help, because we know two sides and an angle. That's all we need for the law of cosines. \n\nCB² = AC² + AB² - AC×AB×cos(∠A)\nin your case.\nThat's:\n3² = 8² + AB² - 8 × AB × cos(30°)\nnow solve for AB and you will get the last side of your triangle",
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:39:39",
"content": "—————\n\n-uh, but even then, my calculator says \"false\"...\nWould make sense, because the law of sines also didn't work, because it should have.",
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"id": 1037074128584331300,
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"author_name": "lanz🍁",
"timestamp": "11/01/2022 14:42:20",
"content": "meaning these values you're given are wrong. The triangle doesn't exist in a 2 dimensional space. \nNot sure if it would exist on a sphere or so..",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:43:41",
"content": "yh .. but i learnt new things",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:44:16",
"content": "but I serioslyu do not understand when to use cosine and sine",
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"timestamp": "11/01/2022 14:44:31",
"content": "theoretically you could use either",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:46:06",
"content": "you said that sin value is from -1 to 1 is it the same for cos value?",
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"timestamp": "11/01/2022 14:46:59",
"content": "yes",
"attachments": [],
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 14:50:19",
"content": "wait is the hypotenuse always 2x bigger than the shortest side?",
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"content": "no that's only when there's an angle of 30° AND it's a right-angled triangle",
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"content": "hm🦆",
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"content": "sin(30°) = 0.5",
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"content": "makes sense, the half of the hypotenuse is equal to the shortest side in this triangle. While then vice versa the double of the shortest side in this triangle equals the hypotenuse in a triangle",
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] | help-9 | 2774b4217dea4cf8935a6264ec02320d |
201,304 | [
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] | help-9 | 64e1e75506b84cb0bc24d9e19e503d6d |
201,305 | [
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"timestamp": "11/01/2022 15:48:10",
"content": "Hello!\n\nI'm in a bit of a pickle, I recently applied to college, and I wasn't originally gonna be a comp sci major, but I decided to switch my major to it, and realize it is math heavy, I am completely ok with this, however my foundational math skills are terrible atm\n\nI dropped out of highschool before I could finish algebra 1 let alone 2, and mostly forgot most pre-algebra concepts and my precalc class start in about 70 days and I need to learn Pre-algebra, Algebra 1, and Algebra 2 to be ready for the course I imagine, how would I go about learning those subjects in such a timeframe, is it even possible? If I try to learn remedial classes, they are expensive and don't give me any college credits so I'm kinda stressed out atm but I believe in myself",
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"content": "@Deleted User Has your question been resolved?",
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"timestamp": "11/01/2022 16:03:24",
"content": "Nope",
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"timestamp": "11/01/2022 16:09:44",
"content": "If I were you I would have talked to your local school advisor",
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"content": "I did, they reccomend me to take remedial courses that will cost full tuition with no credits, and I cannot afford to pay extra tuition, and I'm on a time crunch as I'm pretty much gonna get kicked out of my house in 2 years, with a degree or no degree",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 16:11:33",
"content": "Not to be rude, but how were you accepted in to college, with so little math?",
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"timestamp": "11/01/2022 16:11:47",
"content": "Community college, and I got my GED",
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"timestamp": "11/01/2022 16:11:52",
"content": "I crammed for my GED",
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"timestamp": "11/01/2022 16:11:57",
"content": "ahh",
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"timestamp": "11/01/2022 16:12:14",
"content": "I passed by a razors edge for my ged",
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"timestamp": "11/01/2022 16:12:22",
"content": "In math",
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"author_name": "Ilmangamer",
"timestamp": "11/01/2022 16:14:15",
"content": "Mhm, if I were you. I would have brute forced the precalc",
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"timestamp": "11/01/2022 16:14:43",
"content": "What do you mean by that?",
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"author_id": 562648065501167600,
"author_name": "Ilmangamer",
"timestamp": "11/01/2022 16:15:27",
"content": "stay in college study precalc, even in your situation. Who knows maybe you are born for it",
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"timestamp": "11/01/2022 16:15:54",
"content": "Dont you need to know algebra 1 and 2 for precalc?",
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"timestamp": "11/01/2022 16:16:22",
"content": "is that US math books?",
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"timestamp": "11/01/2022 16:17:46",
"content": "In the US the cirriculum is arithmetic>pre-algebra>algebra 1>geometry>algebra 2> pre-calculus + trigonometry>calculus 1 - 3",
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"timestamp": "11/01/2022 16:20:13",
"content": "I am sorry dude it is obviously obvious that I am not the right guy to help you.",
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"timestamp": "11/01/2022 16:20:19",
"content": "But good luck though",
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"timestamp": "11/01/2022 16:20:27",
"content": "Its alright",
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"timestamp": "11/01/2022 16:50:28",
"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 36b3d0ef1cf1498b9c11985bf133d0dd |
201,306 | [
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] | help-9 | 3126dba764e44cb3b805ed453d461af3 |
201,307 | [
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"timestamp": "10/21/2022 22:40:51",
"content": "how do i translate the formula into english? All I know is the last part where \"k exists in Z (integers)\"",
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"timestamp": "10/21/2022 22:41:33",
"content": "aℤ (the set of integers divisible by a) is the set of all numbers that can be written as a times some element of the integers",
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] | help-9 | 52b1fdaa4ff140999126dd0a33e54c90 |
201,308 | [
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"timestamp": "11/01/2022 17:21:44",
"content": "calculate the area as if it's a full circle, using pi*r^2",
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"id": 1037114245915095000,
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"timestamp": "11/01/2022 17:21:44",
"content": "well",
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"timestamp": "11/01/2022 17:21:46",
"content": "ye",
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"id": 1037114259206832300,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:21:48",
"content": "and then multiply it by 310/360",
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{
"id": 1037114309727236200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/01/2022 17:22:00",
"content": "s = r(theta) ig?",
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"id": 1037114377863712800,
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"author_name": "Kihei",
"timestamp": "11/01/2022 17:22:16",
"content": "isn't that just arc length",
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"timestamp": "11/01/2022 17:22:18",
"content": "no that’s arc length",
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"id": 1037114459908477000,
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"timestamp": "11/01/2022 17:22:35",
"content": "oh misread the question, thought it was asking for perimeter",
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"content": "lmao",
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"timestamp": "11/01/2022 17:23:01",
"content": "aye aye",
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"content": ":KEK:",
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"timestamp": "11/01/2022 17:23:03",
"content": "happened to me",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/01/2022 17:23:06",
"content": "so many times",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/01/2022 17:23:10",
"content": "🤦♂️",
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"id": 1037114754952609800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/01/2022 17:23:46",
"content": "okay my excuse is that it is 1 am and i should not be procrastinating with this server",
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"id": 1037114817498075100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/01/2022 17:24:01",
"content": "i find it funny how i procrastinate doing maths by helping other people do their maths",
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"id": 1037114826058633200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/01/2022 17:24:03",
"content": "very ironic",
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:24:20",
"content": "okay i thought i was the only one ty 😭",
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"author_name": "STEVIEDEVIE",
"timestamp": "11/01/2022 17:24:46",
"content": "What's that formula?",
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"author_name": "Kihei",
"timestamp": "11/01/2022 17:24:53",
"content": "area of a circle",
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"id": 1037115110306623600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:25:10",
"content": "$\\pi r^2$",
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"author_name": "STEVIEDEVIE",
"timestamp": "11/01/2022 17:25:14",
"content": "Oh I recognise it now nvm",
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"author_name": "Springsskateboard",
"timestamp": "11/01/2022 17:25:18",
"content": "HAHAHHA FK",
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"id": 1037115160843784200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/01/2022 17:25:23",
"content": "**kihei**",
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"timestamp": "11/01/2022 17:25:23",
"content": "IM EXPOSED",
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"author_name": "Kihei",
"timestamp": "11/01/2022 17:25:34",
"content": ":KEK:",
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:25:43",
"content": "we are all the same apparently",
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"author_name": "STEVIEDEVIE",
"timestamp": "11/01/2022 17:26:12",
"content": "So what would I start with in the equation",
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"author_name": "Kihei",
"timestamp": "11/01/2022 17:26:41",
"content": "so you have $A = \\pi r^2$, where r is the radius",
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"timestamp": "11/01/2022 17:26:44",
"content": "**kihei**",
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"timestamp": "11/01/2022 17:26:50",
"content": "and our radius here is 2cm",
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:26:59",
"content": "so you can solve for the area?",
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"id": 1037115722108776600,
"author_id": 1025385433951113300,
"author_name": "STEVIEDEVIE",
"timestamp": "11/01/2022 17:27:36",
"content": "12.566?",
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"id": 1037115813766893700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:27:58",
"content": "yep",
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/01/2022 17:28:17",
"content": "and then notice that the actual shape's angle is 310 degrees out of 360",
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"id": 1037115931643621500,
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"timestamp": "11/01/2022 17:28:26",
"content": "so essentially we can multiply our result by a fraction of 310/360",
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"timestamp": "11/01/2022 17:28:37",
"content": "to get that shape's area",
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"timestamp": "11/01/2022 17:33:10",
"content": "10.82cm",
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"author_id": 1025385433951113300,
"author_name": "STEVIEDEVIE",
"timestamp": "11/01/2022 17:34:24",
"content": "?",
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"author_name": "Mathematics Bot",
"timestamp": "11/01/2022 17:49:24",
"content": "@STEVIEDEVIE Has your question been resolved?",
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"timestamp": "11/01/2022 17:49:54",
"content": "Channel closed",
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] | help-9 | 5ffca87b6f65446aad60a69f1b8b0cde |
201,309 | [
{
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"timestamp": "11/01/2022 17:50:55",
"content": "Available help channel!",
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"id": 1037122011585069000,
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"author_name": "Excellion",
"timestamp": "11/01/2022 17:52:36",
"content": "I'm doing exercises about lineal transformations and I am confused as to what this notation means",
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"timestamp": "11/01/2022 17:53:43",
"content": "instead of writing it as a column vector, they're writing it as an ordered tuple",
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"id": 1037122534195335300,
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"author_name": "Excellion",
"timestamp": "11/01/2022 17:54:40",
"content": "I thought it might be that, but I simply don't understand what this transformation is doing",
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"id": 1037122655385555100,
"author_id": 356883166038065150,
"author_name": "Excellion",
"timestamp": "11/01/2022 17:55:09",
"content": "I don't know what x1-x4 are or how they relate to the 3x1 matrix on the right",
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"id": 1037123411710841000,
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"timestamp": "11/01/2022 17:58:10",
"content": "x1,x2,x3,x4 are the entries in the tuple, \nor equivalently, the entries of a vector in R^4.",
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"id": 1037123573841662000,
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"timestamp": "11/01/2022 17:58:48",
"content": "the tuple on the right is just showing what each entry becomes. \nthe first entry becomes x2\nthe second entry becomes x1 - 2(x2)\netc.",
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"id": 1037123824841408600,
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"timestamp": "11/01/2022 17:59:48",
"content": "what does the fourth entry become then?",
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"author_id": 334482942506041340,
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"timestamp": "11/01/2022 18:00:11",
"content": "So if you input (1,3,5,7)\nthen the output is\n{ 3, 1-2(3), -3(3) - 3(5)-4(7), 2(1 + 3) + 3(5) }",
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"timestamp": "11/01/2022 18:01:55",
"content": "I think I get it?",
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"id": 1037124401264611300,
"author_id": 356883166038065150,
"author_name": "Excellion",
"timestamp": "11/01/2022 18:02:06",
"content": "We are going down one dimension by doing this right?",
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"timestamp": "11/01/2022 18:02:28",
"content": "oh, i thought there was another comma",
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"author_id": 334482942506041340,
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"timestamp": "11/01/2022 18:02:40",
"content": "yeah, the right is a 3-tuple, so you're losing a dimension",
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"timestamp": "11/01/2022 18:03:11",
"content": "okay I should know what to do with that",
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"id": 1037124760158621800,
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"timestamp": "11/01/2022 18:03:31",
"content": "thank you :happy:",
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"timestamp": "11/01/2022 18:03:35",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "11/01/2022 18:03:35",
"content": "Channel closed",
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] | help-9 | b7714830783a4689a06fd7c026458389 |
201,310 | [
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"author_id": 858179582830313500,
"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:13:20",
"content": "is no 2 a polynomial why or why not",
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"content": "read",
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},
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"author_id": 858179582830313500,
"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:24:07",
"content": "“Failed to load image”",
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"id": 1037130441943167100,
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"timestamp": "11/01/2022 18:26:06",
"content": "fix your browser",
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"timestamp": "11/01/2022 18:26:39",
"content": ":/",
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"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:26:48",
"content": "well that’s kinda rude",
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"timestamp": "11/01/2022 18:27:41",
"content": "works for me",
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"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:27:56",
"content": "Ok I can see that now thanks",
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"author_id": 858179582830313500,
"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:28:27",
"content": "I’m still not clear on the answer to my question",
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"timestamp": "11/01/2022 18:29:51",
"content": "So is it a no?",
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{
"id": 1037132494987874300,
"author_id": 858179582830313500,
"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:34:15",
"content": "Can someone else help?",
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"id": 1037135768868630500,
"author_id": 858179582830313500,
"author_name": "ARottenEggAtTheBackOfTheFridge",
"timestamp": "11/01/2022 18:47:16",
"content": "@Helpers",
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"id": 1037139544811770000,
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"timestamp": "11/01/2022 19:02:16",
"content": "@ARottenEggAtTheBackOfTheFridge Has your question been resolved?",
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] | help-9 | f41eb449bd5f40768311cd203caec894 |
201,311 | [
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"content": "8P14 ????",
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"content": "Seems correct. Be sure to remember the correct order of n and r 😉",
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"content": "thats why i was getting an error",
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"content": "what is n and r i forgot ?",
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"timestamp": "11/01/2022 19:16:08",
"content": "n is the total amount of items you are choosing from, r is the amount of items your are choosing",
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"content": "ohhh",
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"content": "ok thanks",
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"content": "huh i got 121 080 960",
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"timestamp": "11/01/2022 19:20:58",
"content": "did i do something wrong?",
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"timestamp": "11/01/2022 19:21:02",
"content": "such a big number",
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"timestamp": "11/01/2022 19:21:59",
"content": "Permutations can get pretty big, pretty fast",
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"timestamp": "11/01/2022 19:22:51",
"content": "oh",
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"timestamp": "11/01/2022 19:22:52",
"content": "I just checked and got the same answer",
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"timestamp": "11/01/2022 19:22:54",
"content": "so it is correct",
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"timestamp": "11/01/2022 19:22:58",
"content": "thank you 🫡",
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"content": "🫡",
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"timestamp": "11/01/2022 19:31:50",
"content": "i got another question here for 7b)\n\ni put\n\n4 3 |321| 2 1 = 3!5!\n\nwe did this question in class and my teacher got = 4!5!",
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"timestamp": "11/01/2022 19:46:02",
"content": "I think there is a language barrier; I'm not sure I understand the question. What does b) and c) mean? Is it that lm**oyi**pc is an arrangement because the vowels are in the middle and then only {l, m, p, c} can switch places with each other and {o, y, i} can switch places with each other?",
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"timestamp": "11/01/2022 19:48:16",
"content": "b is just c v c v c v c which means 4 3 3 2 2 1 1",
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"timestamp": "11/01/2022 19:49:55",
"content": "Okay, so l**o**m**y**p**i**c is an example of an arrangement and only vowels can change places with each other and consonants places with each other?",
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"timestamp": "11/01/2022 19:51:07",
"content": "yes",
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"author_name": "bobkinder993",
"timestamp": "11/01/2022 19:51:30",
"content": "so for c \nc c |v v v| c c",
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"timestamp": "11/01/2022 20:03:45",
"content": "Sorry, just had to follow an election",
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"timestamp": "11/01/2022 20:04:09",
"content": "oh no problem",
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"timestamp": "11/01/2022 20:08:21",
"content": "It needs to be arranged as c v c v c v c because if we start with v it would end in c c which wouldn't be alternating. We have 4 consonants first to choose from, then 3 vowels, then 3 c, 2 v, 2 c, 1 v and 1 c. So 4 x 3 x 3 x 2 x 2 x 1 = (4 x 3 x 2 x 1) x (3 x 2 x 1) = 4!3!",
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"timestamp": "11/01/2022 20:08:43",
"content": "I'm a bit rusty in combinatorics/arrangements, so I'm not sure if it's correct",
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"timestamp": "11/01/2022 20:08:58",
"content": "How did your teacher get to the answer 4!5!?",
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"timestamp": "11/01/2022 20:09:01",
"content": "thats correct for 7b",
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"timestamp": "11/01/2022 20:09:14",
"content": "Wasn't it 7b?",
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"timestamp": "11/01/2022 20:09:16",
"content": "thats what i got 4! 3!",
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"timestamp": "11/01/2022 20:09:23",
"content": "Here",
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"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:09:29",
"content": "im trying to find 7c",
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"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:09:30",
"content": "oops",
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"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:09:37",
"content": ".",
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"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:09:42",
"content": "its just thiss",
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"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:10:03",
"content": "i got 4 3 |321| 2 1 = 4! 5! ????",
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"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:10:28",
"content": "nvm",
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"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:10:37",
"content": "it makes sense",
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"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:10:39",
"content": "OHHHH",
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"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:10:54",
"content": "Thanks! 😊 🫡",
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"timestamp": "11/01/2022 20:11:05",
"content": "I think it has to do with c c v v v c c c also being an arrangement",
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"timestamp": "11/01/2022 20:11:20",
"content": "Seems you figured it our yourself 💪 no need to thank me",
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"timestamp": "11/01/2022 20:11:25",
"content": "wait no i dont think it makes sense",
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"timestamp": "11/01/2022 20:11:42",
"content": "how is 4! 5! lol",
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"timestamp": "11/01/2022 20:11:50",
"content": "i got 4! 3! hahaha",
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"id": 1037157069624725500,
"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/01/2022 20:11:54",
"content": "for this",
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"id": 1037158004375691400,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 20:15:37",
"content": "Hmmm. All vowels are stationary in the 3 middle positions, which means we can have the 3 middle letters in 3! ways. The rest are also stationary, 2 at each side of the middle, which can be arranged in (2 + 2)! = 4! ways. Together there are 4!3! ways. I can't see how you would get 4!5!",
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"timestamp": "11/01/2022 20:15:57",
"content": "Did your teacher give an explanation?",
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"timestamp": "11/01/2022 20:16:23",
"content": "he did, i think i just wrote it down wrong 😓",
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"timestamp": "11/01/2022 20:19:18",
"content": "I really can't see why it would be 4!5!",
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"timestamp": "11/01/2022 20:31:23",
"content": "@bobkinder993 Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 9ed6f0b8daf24fc9b2a6f3f47165080a |
201,312 | [
{
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"timestamp": "11/01/2022 21:19:46",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:37:36",
"content": "I understand how to do the start `y=-3x + b` but I don't understand how to substitute to find the y intercept",
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"id": 1037179005926903800,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:39:04",
"content": "so what does parallel tell you in this context about the new line?",
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"id": 1037179181903126500,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:39:46",
"content": "Parallel means equal gradient?",
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"id": 1037179268590997500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:40:07",
"content": "yes",
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{
"id": 1037179314858377300,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:40:18",
"content": "so the equation of our new line will be",
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},
{
"id": 1037179331593650200,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:40:22",
"content": "y = -3x + C",
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},
{
"id": 1037179360228147300,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:40:29",
"content": "where C is some number we are trying to figure out",
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},
{
"id": 1037179394491433000,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:40:37",
"content": "Yes",
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},
{
"id": 1037179426699497500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:40:45",
"content": "what other key piece of information do we have?",
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"id": 1037179504805806100,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:41:03",
"content": "passes through (3,0)",
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},
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"id": 1037179643712778200,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:41:36",
"content": "ok",
"attachments": [],
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},
{
"id": 1037179696862998500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:41:49",
"content": "coordinates are in the form (x, y) right",
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"id": 1037179733139534000,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:41:58",
"content": "yes",
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"id": 1037179739984625800,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:41:59",
"content": "so x = 3 and y = 0",
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"id": 1037179766861725800,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:42:06",
"content": "and we can plug those numbers into our equation",
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},
{
"id": 1037179783727042700,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:42:10",
"content": "y = -3x + C",
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},
{
"id": 1037179810046279800,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:42:16",
"content": "0 = -3(3) + C",
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},
{
"id": 1037179831193977000,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:42:21",
"content": "0 = -9 + C",
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},
{
"id": 1037179839507091500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:42:23",
"content": "9 = C",
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},
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"id": 1037179886529421300,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:42:34",
"content": "I understand",
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},
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"id": 1037179896318935200,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:42:37",
"content": "thank you",
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},
{
"id": 1037179970335809500,
"author_id": 1017308057761497100,
"author_name": "cantprogram",
"timestamp": "11/01/2022 21:42:54",
"content": "🙂",
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},
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"id": 1037180290021466100,
"author_id": 399691563011407900,
"author_name": "Timsaay",
"timestamp": "11/01/2022 21:44:11",
"content": ".close",
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},
{
"id": 1037180294098329700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/01/2022 21:44:11",
"content": "Channel closed",
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] | help-9 | 858e62428f94473ab77e31433e4995a4 |
201,313 | [
{
"id": 1037180981918040200,
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"timestamp": "11/01/2022 21:46:55",
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},
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"id": 1037181180681932800,
"author_id": 155544983997251600,
"author_name": "Lord Cripplus",
"timestamp": "11/01/2022 21:47:43",
"content": "any folks here good with random variable statistics",
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},
{
"id": 1037181182837788700,
"author_id": 805217272087838700,
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"timestamp": "11/01/2022 21:47:43",
"content": "Pinned a message.",
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"content": ":JustAsk:",
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},
{
"id": 1037181936986230900,
"author_id": 155544983997251600,
"author_name": "Lord Cripplus",
"timestamp": "11/01/2022 21:50:43",
"content": "Look im questioning my results they are too long and complicated I just want to be set on my way",
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},
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"id": 1037181952656158700,
"author_id": 155544983997251600,
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"content": "statistics",
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},
{
"id": 1037182343800164400,
"author_id": 1027396477896638500,
"author_name": "RSgamepro123",
"timestamp": "11/01/2022 21:52:20",
"content": "is anyone here trying to enroll in a specialized highschool",
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"id": 1037182427434594300,
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"timestamp": "11/01/2022 21:52:40",
"content": "been a long time since i was in high school mate",
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"timestamp": "11/01/2022 21:54:39",
"content": "any ideas @riemann",
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"author_name": "riemann",
"timestamp": "11/01/2022 21:57:03",
"content": "Didn't you ask this already? I said to look up the formula for variance of a sum of Random Variables",
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"author_id": 155544983997251600,
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"timestamp": "11/01/2022 22:00:11",
"content": "Yeah got a bit stuck i guess",
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"id": 1037184459142873200,
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"content": "Show",
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},
{
"id": 1037185032378392600,
"author_id": 155544983997251600,
"author_name": "Lord Cripplus",
"timestamp": "11/01/2022 22:03:01",
"content": "dont worry too difficult to show ill move on",
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"id": 1037185046110543900,
"author_id": 155544983997251600,
"author_name": "Lord Cripplus",
"timestamp": "11/01/2022 22:03:04",
"content": ".close",
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"timestamp": "11/01/2022 22:03:05",
"content": "Channel closed",
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] | help-9 | 516f7cd49fb041ebba76fed94266bc9c |
201,314 | [
{
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"timestamp": "11/01/2022 22:12:15",
"content": "Available help channel!",
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},
{
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"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:13:24",
"content": "how do i factorise this",
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},
{
"id": 1037187645702406100,
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"content": "Pinned a message.",
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"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:13:25",
"content": "or well",
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},
{
"id": 1037187668255178900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:13:30",
"content": "turn this into a normal equation",
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},
{
"id": 1037187825096999000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:14:07",
"content": "y^2 + (1/2) y*e^t - (1/2)e^t = 0",
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"id": 1037188181306659000,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:15:32",
"content": "Does the form it's on remind you of something?",
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},
{
"id": 1037188241406828500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:15:46",
"content": "my quadratic equation gave me different form to soolution",
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},
{
"id": 1037188247740235800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:15:48",
"content": "solution",
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},
{
"id": 1037188280896204800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:15:56",
"content": "the question is an ode",
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{
"id": 1037188354623684600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:16:13",
"content": "but i found the co-efficient to the exponential b4 they did in the solution",
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"id": 1037188543606423700,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:16:58",
"content": "oh wait",
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},
{
"id": 1037188552984899600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:17:01",
"content": "i think i know why",
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},
{
"id": 1037189120772030500,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:19:16",
"content": "Great 💪",
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},
{
"id": 1037189192649818200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:19:33",
"content": "wait",
"attachments": [],
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},
{
"id": 1037189195363528700,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:19:34",
"content": "no",
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},
{
"id": 1037189210085523500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:19:37",
"content": "not quite there yet",
"attachments": [],
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},
{
"id": 1037189496522940400,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:20:46",
"content": "What exactly is the problem you're running into",
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},
{
"id": 1037189505360351200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:20:48",
"content": "",
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"id": 1037189535039230100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:20:55",
"content": "where did i go wrong?",
"attachments": [],
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{
"id": 1037189746239221800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:21:45",
"content": "no",
"attachments": [],
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{
"id": 1037189757232496600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:21:48",
"content": "i see",
"attachments": [],
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"reference": null
},
{
"id": 1037189760072040400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:21:48",
"content": "it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037189764056617100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:21:49",
"content": "lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190014716624900,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:22:49",
"content": "Yeah, the right term should still be divided by 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190166164553700,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:23:25",
"content": "",
"attachments": [
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"id": 1037190165833191600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1037190165833191565/rn_image_picker_lib_temp_611332d8-111f-44bf-87a2-d3a877aac280.jpg",
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{
"id": 1037190168513351800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:23:26",
"content": "there we go",
"attachments": [],
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},
{
"id": 1037190171919139000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:23:27",
"content": "now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190255478046800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:23:46",
"content": "why is it the negative sign?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190415272656900,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:24:25",
"content": "Instead of ±?",
"attachments": [],
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},
{
"id": 1037190441709338600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:24:31",
"content": "wait",
"attachments": [],
"mentions": [],
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},
{
"id": 1037190453981888500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:24:34",
"content": "i can just sub ey",
"attachments": [],
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},
{
"id": 1037190564241748000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:25:00",
"content": "ah easy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190569509781500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:25:01",
"content": "im dumb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190572399673300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:25:02",
"content": "lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037190831217594500,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:26:04",
"content": "Nah, you're not. Seems you just needed to look on it a bit longer and the answer came to you",
"attachments": [],
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"reference": null
},
{
"id": 1037190873462620200,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "11/01/2022 22:26:14",
"content": "That's not stupid in my book😄",
"attachments": [],
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"reference": null
},
{
"id": 1037190914545819600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/01/2022 22:26:24",
"content": "ahhh",
"attachments": [],
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"reference": null
},
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"timestamp": "11/01/2022 22:26:28",
"content": "these r past exam questions",
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"timestamp": "11/01/2022 22:26:31",
"content": "im just nervous i guess",
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"timestamp": "11/01/2022 22:41:32",
"content": "@shavet Has your question been resolved?",
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"content": "Channel closed",
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}
] | help-9 | 4786d0339a304a8fa39a5c85a60a0c03 |
201,315 | [
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"content": "Available help channel!",
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},
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"content": "I have no clue how to start",
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"timestamp": "11/01/2022 23:03:13",
"content": "Not even the dimensions that the matrices should be",
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},
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"id": 1037200258373005300,
"author_id": 692912115823935600,
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"timestamp": "11/01/2022 23:03:31",
"content": "oh yea i was confused about the exact same thing",
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},
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"id": 1037200323393102000,
"author_id": 692912115823935600,
"author_name": "Vc05",
"timestamp": "11/01/2022 23:03:47",
"content": "how to visualize the matricies of certain transformations and vice versa",
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},
{
"id": 1037203363894407200,
"author_id": 711148028723068900,
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"timestamp": "11/01/2022 23:15:52",
"content": "@Helpers",
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},
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"id": 1037205705322672100,
"author_id": 711148028723068900,
"author_name": "clip",
"timestamp": "11/01/2022 23:25:10",
"content": "mainly need help on parts d and f",
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},
{
"id": 1037207505446641700,
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"timestamp": "11/01/2022 23:32:19",
"content": ".close",
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},
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"content": "Channel closed",
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}
] | help-9 | 3d02c998eb1448b58a6cc4c01b034706 |
201,316 | [
{
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"content": "Available help channel!",
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},
{
"id": 1037210291324326000,
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"timestamp": "11/01/2022 23:43:31",
"content": "does anyone know how to do dis?",
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},
{
"id": 1037210338162114600,
"author_id": 329784261139759100,
"author_name": "KillerMuffin",
"timestamp": "11/01/2022 23:43:35",
"content": "im so lost",
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},
{
"id": 1037210635190153200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:44:45",
"content": "Bounds are similar",
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},
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"author_name": "MarveI",
"timestamp": "11/01/2022 23:44:51",
"content": "how old are you :/",
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{
"id": 1037210681386209300,
"author_id": 329784261139759100,
"author_name": "KillerMuffin",
"timestamp": "11/01/2022 23:44:56",
"content": "is actually supposed be -inf on botom",
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"id": 1037210694132715500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:44:59",
"content": "Oh",
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"timestamp": "11/01/2022 23:45:02",
"content": "my fault",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:45:13",
"content": "Split it into 2 integrals",
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"id": 1037210811820675200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "11/01/2022 23:45:27",
"content": "so 10?",
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"timestamp": "11/01/2022 23:45:28",
"content": "Although",
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},
{
"id": 1037210824185483300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/01/2022 23:45:30",
"content": "split up the integral up until some point",
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"timestamp": "11/01/2022 23:45:34",
"content": "I mean",
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"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:45:37",
"content": "Yeah",
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},
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"id": 1037210878111666200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:45:43",
"content": "LMAO",
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"id": 1037210880473047000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "11/01/2022 23:45:44",
"content": "@Moderators",
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},
{
"id": 1037210892489719800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "11/01/2022 23:45:47",
"content": "bro",
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},
{
"id": 1037210899775242200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:45:48",
"content": "LMAOOO",
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"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:45:51",
"content": "AINT NO WAY",
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},
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"id": 1037210948278165500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "11/01/2022 23:46:00",
"content": "you sure got him with that one!",
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"timestamp": "11/01/2022 23:46:11",
"content": "Split it up around x=0 since the function is continuous for all x",
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"timestamp": "11/01/2022 23:46:12",
"content": "lmao, gotem",
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"timestamp": "11/01/2022 23:46:33",
"content": "And 0 is a funny easy number",
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"author_name": "Mikkel",
"timestamp": "11/01/2022 23:47:12",
"content": "Romans would disagree",
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"timestamp": "11/01/2022 23:47:26",
"content": "thanks brother",
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"author_name": "Umbraleviathan",
"timestamp": "11/01/2022 23:47:33",
"content": "Well the Romans were stupid they didn't invent the iPhone, did they",
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"id": 1037211375346389000,
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"content": "facts",
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"id": 1037211418086351000,
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"timestamp": "11/01/2022 23:47:52",
"content": "Hmmm, true",
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"timestamp": "11/01/2022 23:48:30",
"content": "sorry cant hear u rn i have my airpods on",
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"timestamp": "11/01/2022 23:54:03",
"content": "what happened here",
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"timestamp": "11/02/2022 00:02:42",
"content": "@KillerMuffin Has your question been resolved?",
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"timestamp": "11/02/2022 00:07:24",
"content": "Channel closed",
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] | help-9 | c91ce2210be84008b1f3ac6c21a8f639 |
201,317 | [
{
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},
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"id": 1037216998142255200,
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"author_name": "rolex",
"timestamp": "11/02/2022 00:10:02",
"content": "can someone help me with solving dy/dx = y^2 - y/x - 1/x^2 . initial condition y(1) = 2. one known solution is y(x) = 1/x. we have to use ricatti",
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"timestamp": "11/02/2022 00:10:13",
"content": "i got 1/x(-x^2/2 +5/2)\nis that correct?",
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"timestamp": "11/02/2022 00:25:13",
"content": "@rolex Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | eff2ea077c9a412a87eb1fdf4255b2dc |
201,318 | [
{
"id": 1033210733778960400,
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"timestamp": "10/21/2022 22:50:35",
"content": "Available help channel!",
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},
{
"id": 1033211150202060800,
"author_id": 769275691685380100,
"author_name": "skeezy",
"timestamp": "10/21/2022 22:52:14",
"content": "can i have help with quadratic equations",
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},
{
"id": 1033211152034963600,
"author_id": 805217272087838700,
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"timestamp": "10/21/2022 22:52:14",
"content": "Pinned a message.",
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"content": "grade 8",
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"id": 1033211335456075800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/21/2022 22:52:58",
"content": "What have you tried",
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},
{
"id": 1033211452489748600,
"author_id": 769275691685380100,
"author_name": "skeezy",
"timestamp": "10/21/2022 22:53:26",
"content": "nothing, im clueless can you guide me",
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},
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"id": 1033211495011582000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "10/21/2022 22:53:36",
"content": "Start by drawing a picture",
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},
{
"id": 1033211964534563000,
"author_id": 769275691685380100,
"author_name": "skeezy",
"timestamp": "10/21/2022 22:55:28",
"content": "finished",
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},
{
"id": 1033213761097572400,
"author_id": 769275691685380100,
"author_name": "skeezy",
"timestamp": "10/21/2022 23:02:36",
"content": ".close",
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},
{
"id": 1033213763710636000,
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"timestamp": "10/21/2022 23:02:37",
"content": "Channel closed",
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] | help-9 | 9c2b26589b334691af00a59d210b39fe |
201,319 | [
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"content": "Available help channel!",
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},
{
"id": 1037224422869827700,
"author_id": 228984275301564400,
"author_name": ".bruh",
"timestamp": "11/02/2022 00:39:33",
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"timestamp": "11/02/2022 00:39:41",
"content": ".Ask",
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"id": 1037225231238049800,
"author_id": 228984275301564400,
"author_name": ".bruh",
"timestamp": "11/02/2022 00:42:45",
"content": "I have no clue on how to go on about sloving these problems",
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"timestamp": "11/02/2022 00:42:46",
"content": "Pinned a message.",
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"timestamp": "11/02/2022 00:42:50",
"content": "and I was just wondering how to do so",
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"timestamp": "11/02/2022 00:47:40",
"content": "draw triangle",
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"timestamp": "11/02/2022 00:47:49",
"content": "shadolength is 80",
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"timestamp": "11/02/2022 00:47:53",
"content": "so one leg can be 880",
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"timestamp": "11/02/2022 00:47:58",
"content": "degree is 60",
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"timestamp": "11/02/2022 00:48:24",
"content": "got it",
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"author_id": 228984275301564400,
"author_name": ".bruh",
"timestamp": "11/02/2022 00:48:41",
"content": "how would i figure out the other sides if I only have one",
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"timestamp": "11/02/2022 00:48:49",
"content": "do you know trig",
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"timestamp": "11/02/2022 00:48:51",
"content": "at all",
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"timestamp": "11/02/2022 00:48:57",
"content": "no not really",
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"timestamp": "11/02/2022 00:49:45",
"content": "uh then you have to learn that",
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"timestamp": "11/02/2022 00:49:57",
"content": "but its like",
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"timestamp": "11/02/2022 00:50:08",
"content": "80 * tan60 i thinkk",
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"timestamp": "11/02/2022 00:50:09",
"content": "i forget",
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"author_name": "Vc05",
"timestamp": "11/02/2022 00:50:18",
"content": "it shouldnt be hard just learn the most basic trig",
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"timestamp": "11/02/2022 00:50:21",
"content": "sin cos tan",
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"timestamp": "11/02/2022 00:50:26",
"content": "learn soh cah toa",
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"timestamp": "11/02/2022 00:50:30",
"content": "and then you can do this",
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"timestamp": "11/02/2022 01:03:58",
"content": "@.bruh Has your question been resolved?",
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] | help-9 | ae5d43f1998a48bcaf0df21a6de8ae15 |
201,320 | [
{
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"content": "I was wondering if someone can help me understand visually product rule derivatives of trig functions",
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"timestamp": "11/02/2022 01:25:16",
"content": "Y = (x^2-1)cos x",
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"content": "I’m assuming it’s a product rule",
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"timestamp": "11/02/2022 01:25:43",
"content": "like how to apply the product rule? Or like why?",
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"timestamp": "11/02/2022 01:25:56",
"content": "I get lost when it’s a longer question",
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"id": 1037236116996239400,
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"timestamp": "11/02/2022 01:26:01",
"content": "Like that example is easy",
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"id": 1037236133618262000,
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"timestamp": "11/02/2022 01:26:05",
"content": "But here is a harder one",
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"timestamp": "11/02/2022 01:26:34",
"content": "My professor taught us to do it in terms of f and g",
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"timestamp": "11/02/2022 01:26:40",
"content": "you have to take it in steps. and apply rules after rules",
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"timestamp": "11/02/2022 01:26:47",
"content": "The first example is easy but when they get longer, I’d difficult",
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"timestamp": "11/02/2022 01:26:48",
"content": "Looks like a product rule, chain rule",
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"timestamp": "11/02/2022 01:27:30",
"content": "So f = sin ^ -1(x^2-1)",
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"timestamp": "11/02/2022 01:27:34",
"content": "And g is the rest",
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"timestamp": "11/02/2022 01:27:39",
"content": "I would probably separate it like this first.",
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"timestamp": "11/02/2022 01:27:40",
"content": "yeah",
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"timestamp": "11/02/2022 01:27:49",
"content": "So am I applying the product rule to each?",
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"timestamp": "11/02/2022 01:28:16",
"content": "your doing the product rule. And chain rule inside the product rule",
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"timestamp": "11/02/2022 01:28:57",
"content": "So its *u dv/dx + v vu/dx* right",
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"timestamp": "11/02/2022 01:29:12",
"content": "Trig derivative is u’ followed by u right?",
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"timestamp": "11/02/2022 01:29:42",
"content": "wdym?",
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"timestamp": "11/02/2022 01:30:04",
"content": "I’m trying to remember derivative rules",
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"id": 1037237205225197600,
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"timestamp": "11/02/2022 01:30:20",
"content": "Like the derivative is cos x is -sin x",
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"timestamp": "11/02/2022 01:30:20",
"content": "do you get a formula sheet? or do you have to do it by hand",
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"id": 1037237231204708400,
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"timestamp": "11/02/2022 01:30:26",
"content": "No formula sheet",
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},
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"id": 1037237240226656300,
"author_id": 154996785960452100,
"author_name": "sirez",
"timestamp": "11/02/2022 01:30:29",
"content": "I wish",
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"id": 1037237260233490400,
"author_id": 177699091369820160,
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"timestamp": "11/02/2022 01:30:33",
"content": "oh. thats rough man",
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"id": 1037237306567954400,
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"timestamp": "11/02/2022 01:30:44",
"content": "I’m doing the first question I wrote",
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"timestamp": "11/02/2022 01:31:00",
"content": "oh",
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"id": 1037237449249792000,
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"timestamp": "11/02/2022 01:31:18",
"content": "So product rule is x^2-1(-sin x) + cos x(2x)",
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"timestamp": "11/02/2022 01:31:34",
"content": "yeah looks good",
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"id": 1037237582616080400,
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"timestamp": "11/02/2022 01:31:50",
"content": "Now here is another issue I find myself with",
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"id": 1037237603122024600,
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"timestamp": "11/02/2022 01:31:55",
"content": "I have a hard time with trig",
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"timestamp": "11/02/2022 01:32:16",
"content": "So on the right. I have cos x (2x)",
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"timestamp": "11/02/2022 01:32:37",
"content": "So I write out as 2x cos x or 2 cos x^2?",
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"timestamp": "11/02/2022 01:32:50",
"content": "I haven’t taken trig in such a long time lol",
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"timestamp": "11/02/2022 01:32:55",
"content": "ahaha thats ok",
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"id": 1037237917824847900,
"author_id": 177699091369820160,
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"timestamp": "11/02/2022 01:33:10",
"content": "so you remember what the basic derivative of cos(x) is right",
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"timestamp": "11/02/2022 01:33:24",
"content": "-sin x",
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"timestamp": "11/02/2022 01:33:27",
"content": "so cos(2x) is a function (2x) inside the cos(x)",
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"timestamp": "11/02/2022 01:33:34",
"content": "so you just apply the chain rule",
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"timestamp": "11/02/2022 01:33:53",
"content": "derivative of the outside function which you know. -sin(2x)",
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"timestamp": "11/02/2022 01:34:01",
"content": "then multiply by the derivative of the inside function",
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"timestamp": "11/02/2022 01:34:18",
"content": "2 cos x^2",
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"timestamp": "11/02/2022 01:35:08",
"content": "If you can recognise what is the outside function and what is the inside function, it'll make it easier",
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"timestamp": "11/02/2022 01:35:19",
"content": "Got it",
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"timestamp": "11/02/2022 01:35:37",
"content": "When you have algebra next to trig, they don’t go I assume",
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"timestamp": "11/02/2022 01:35:58",
"content": "My left side is (x^2-1) -sin x",
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"author_name": "sirez",
"timestamp": "11/02/2022 01:36:08",
"content": "There is no way to multiply that",
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"timestamp": "11/02/2022 01:36:25",
"content": "yeah just leave it",
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"author_name": "sirez",
"timestamp": "11/02/2022 01:36:30",
"content": "So it just becomes - x^2-1 sin x?",
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"content": "make sure you have it as (x^2-1) (-sin x)",
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"timestamp": "11/02/2022 01:36:45",
"content": "Ah ok",
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"timestamp": "11/02/2022 01:38:46",
"content": "Last question",
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"author_name": "sirez",
"timestamp": "11/02/2022 01:39:06",
"content": "Why does this come out to that",
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"content": "I got",
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"timestamp": "11/02/2022 01:54:31",
"content": "@sirez Has your question been resolved?",
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] | help-9 | 84e6c09bf5d946d783523d17075a5ffa |
201,321 | [
{
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"content": "Available help channel!",
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"timestamp": "11/02/2022 01:59:53",
"content": "In vertex form it's y= (x+2)^2",
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"timestamp": "11/02/2022 02:00:09",
"content": "I know my x intercept is -2",
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"content": "is this factor form correct",
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"content": "y = (x+2)",
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"content": ":bhappy:",
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"author_name": "Milochkaaa",
"timestamp": "11/02/2022 02:01:20",
"content": "or do i need to make it y = (x+2) (x+0)",
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"timestamp": "11/02/2022 02:02:48",
"content": "?",
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"id": 1037245410152022000,
"author_id": 730292660564394000,
"author_name": "Milochkaaa",
"timestamp": "11/02/2022 02:02:56",
"content": "lol",
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"id": 1037245459762262000,
"author_id": 585756159169003500,
"author_name": "shagger",
"timestamp": "11/02/2022 02:03:08",
"content": "Y = mx + c",
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"timestamp": "11/02/2022 02:03:13",
"content": "uh",
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"author_name": "Milochkaaa",
"timestamp": "11/02/2022 02:03:26",
"content": "we learned that factor form is y = a(x-r) (x-s)",
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"timestamp": "11/02/2022 02:13:42",
"content": "wait both of them r wrong",
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"author_name": "Milochkaaa",
"timestamp": "11/02/2022 02:13:49",
"content": "how do i make it into factorform then",
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"author_name": "Xiszt",
"timestamp": "11/02/2022 02:14:57",
"content": "Factor form is just (x-a)(x-b) and so on",
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"author_name": "Xiszt",
"timestamp": "11/02/2022 02:15:20",
"content": "since this is quadratic, its (x-a)(x-b) \nin this case its just (x+2)(x+2)",
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"timestamp": "11/02/2022 02:15:25",
"content": "i think",
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"author_name": "Milochkaaa",
"timestamp": "11/02/2022 02:15:57",
"content": "well yeah but if u solve for x it wont work out",
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"timestamp": "11/02/2022 02:16:03",
"content": "this is correct",
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"timestamp": "11/02/2022 02:16:09",
"content": "but this",
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"content": "wdym",
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"content": "x+2=0 \nx=-2",
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"timestamp": "11/02/2022 02:16:54",
"content": "wait",
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"timestamp": "11/02/2022 02:18:40",
"content": "ok but if u need to find vertex",
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"content": "ph",
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"timestamp": "11/02/2022 02:18:55",
"content": "OH",
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"timestamp": "11/02/2022 02:18:56",
"content": "WAIT",
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"timestamp": "11/02/2022 02:18:58",
"content": "IT MAKES SENSE",
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"timestamp": "11/02/2022 02:19:00",
"content": "OKAY THANKS BYE",
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"timestamp": "11/02/2022 02:19:01",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | a96719b5381042518d759605ed6f8670 |
201,322 | [
{
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"timestamp": "11/02/2022 03:26:42",
"content": "Available help channel!",
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"id": 1037266608483221500,
"author_id": 403860061178298400,
"author_name": "xzqr",
"timestamp": "11/02/2022 03:27:10",
"content": "So the target population for species is 8000, and it reaches this at approximately P = L^77 * N1.\n\nHowever past the 77th cycle the population keeps growing, how would I get the population to stagnate. I have tried going (1/growth rate * L)^75 * N1, and this does make the population stagnate however the population is not anywhere near to the 8000 target. How would i achieve this?",
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"timestamp": "11/02/2022 03:27:11",
"content": "Pinned a message.",
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"timestamp": "11/02/2022 03:35:41",
"content": "You want a logistic growth",
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"timestamp": "11/02/2022 03:42:13",
"content": "@xzqr Has your question been resolved?",
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"id": 1037270503095795800,
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"author_name": "xzqr",
"timestamp": "11/02/2022 03:42:39",
"content": "What?",
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"id": 1037270816255115300,
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"author_name": "xzqr",
"timestamp": "11/02/2022 03:43:54",
"content": "Like i just what to find if i have to like multiply the matrix by a factor to get it to stagnate or something like that",
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"timestamp": "11/02/2022 03:57:14",
"content": "Channel closed",
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] | help-9 | 37281f9486204f6dbb52397d29fd00fd |
201,323 | [
{
"id": 1037275449270739000,
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 04:02:18",
"content": "Available help channel!",
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},
{
"id": 1037276815762407400,
"author_id": 513127808730660860,
"author_name": "Yakumo Chen²",
"timestamp": "11/02/2022 04:07:44",
"content": "Do anyone know how to solve this",
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"content": "Pinned a message.",
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"author_name": "Yakumo Chen²",
"timestamp": "11/02/2022 04:07:57",
"content": "I tried using let u= x^2 -7",
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"timestamp": "11/02/2022 04:08:16",
"content": "but couldn't find the answer",
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"timestamp": "11/02/2022 04:09:40",
"content": "so du= 2x",
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"author_name": "Yakumo Chen²",
"timestamp": "11/02/2022 04:09:55",
"content": "and 3.5 du = 7x",
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"timestamp": "11/02/2022 04:10:36",
"content": "so it is u/3.5 du",
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"timestamp": "11/02/2022 04:11:26",
"content": "wait",
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"timestamp": "11/02/2022 04:11:35",
"content": "nyaaaah",
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"author_name": "Yakumo Chen²",
"timestamp": "11/02/2022 04:13:14",
"content": "am I suppose to turn x^x - 7 into (x+sqrt7)(x-sqrt7)",
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"timestamp": "11/02/2022 04:13:20",
"content": "wait no",
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"id": 1037278241293078500,
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"timestamp": "11/02/2022 04:13:24",
"content": "that won't work also",
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"id": 1037278612631584800,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "11/02/2022 04:14:52",
"content": "Take out the 7 outside. Split the integral.",
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"author_name": "Hazysleet",
"timestamp": "11/02/2022 04:17:03",
"content": "You should get, $$\\frac{1}{7} \\left[\\int x \\dd{x} - \\int \\frac{7}{x} \\dd{x} \\right]$$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 04:17:05",
"content": "**QuantumBee**",
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"author_name": "Hazysleet",
"timestamp": "11/02/2022 04:17:19",
"content": "You can proceed futher",
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"author_name": "Hazysleet",
"timestamp": "11/02/2022 04:17:22",
"content": "@Yakumo Chen²",
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"timestamp": "11/02/2022 04:17:42",
"content": "ok",
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"content": "ah right",
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"content": "u can take 7 out",
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"content": "I forgot",
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"content": "so",
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"timestamp": "11/02/2022 04:21:08",
"content": "should the answer be",
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"timestamp": "11/02/2022 04:21:23",
"content": "x^2/14 - Ln IxI + c?",
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"author_id": 709050483335102600,
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"timestamp": "11/02/2022 04:22:35",
"content": "Right",
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"timestamp": "11/02/2022 04:23:14",
"content": "You're C should be the initial C divided by 7.",
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"timestamp": "11/02/2022 04:23:56",
"content": "It doesn't matter since everything are just constans",
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"timestamp": "11/02/2022 04:24:11",
"content": "icic",
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"author_id": 513127808730660860,
"author_name": "Yakumo Chen²",
"timestamp": "11/02/2022 04:24:14",
"content": "thanks",
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"content": ".close",
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"content": "Channel closed",
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}
] | help-9 | 55a5eafd69b94cdf87fca75fa94ec7c4 |
201,324 | [
{
"id": 1037288682861891600,
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"timestamp": "11/02/2022 04:54:53",
"content": "Available help channel!",
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"id": 1037289175935881200,
"author_id": 760173312638320600,
"author_name": "ThatDude",
"timestamp": "11/02/2022 04:56:51",
"content": "can anyone explain me what the difference beetween a real subset and a normal subset is",
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"timestamp": "11/02/2022 04:57:35",
"content": "ik that it means that part of A is in B but whats the real difference",
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"id": 1037289413610319900,
"author_id": 711861642165747700,
"author_name": "Eternal",
"timestamp": "11/02/2022 04:57:48",
"content": "shit",
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"id": 1037289418710581200,
"author_id": 711861642165747700,
"author_name": "Eternal",
"timestamp": "11/02/2022 04:57:49",
"content": "nvm",
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{
"id": 1037289430815355000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "11/02/2022 04:57:52",
"content": "what is a \"real\" subset and a \"normal\" subset ?",
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"id": 1037289537518452700,
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"timestamp": "11/02/2022 04:58:17",
"content": "ik the german term",
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"timestamp": "11/02/2022 04:58:26",
"content": "proper subset and subset?",
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"id": 1037289677578842100,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "11/02/2022 04:58:51",
"content": "All subsets except the set itself are the proper subsets of a set",
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"id": 1037289758419861600,
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"timestamp": "11/02/2022 04:59:10",
"content": "?",
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"timestamp": "11/02/2022 04:59:14",
"content": "what does that mean",
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"id": 1037289878578286600,
"author_id": 711982183429963800,
"author_name": "Bear Bear",
"timestamp": "11/02/2022 04:59:38",
"content": "For ex A={1,2} has 3 proper subsets {},{1},{2}",
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"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "11/02/2022 04:59:47",
"content": "a proper subset is a subset that cant be equal to the original set",
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"content": "okay",
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"timestamp": "11/02/2022 04:59:59",
"content": "i think I understand",
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"timestamp": "11/02/2022 05:00:44",
"content": "👍",
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"id": 1037290295638900700,
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"timestamp": "11/02/2022 05:01:18",
"content": "ah and B is a proper subset of A?",
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"timestamp": "11/02/2022 05:02:03",
"content": "@Bear Bear ?",
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"timestamp": "11/02/2022 05:02:24",
"content": "What is A and B here?",
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"timestamp": "11/02/2022 05:02:33",
"content": "A is one set and B another",
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"timestamp": "11/02/2022 05:02:51",
"content": "B is the secind set in ur example",
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"timestamp": "11/02/2022 05:02:54",
"content": ".",
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"timestamp": "11/02/2022 05:03:31",
"content": "If B is the Subset of A and B is not equals to A, then it is a proper subset",
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"timestamp": "11/02/2022 05:04:06",
"content": "okay thank you",
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"content": ".clear",
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"content": ".close",
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] | help-9 | 16aaac25bf4742afa7cc9d6c1040f96e |
201,325 | [
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"content": "Pinned a message.",
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"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:27:03",
"content": "Hello, i tried working on this problem, however integration by parts or something will not work.",
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"id": 1037297052125778000,
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"author_name": "Denascite",
"timestamp": "11/02/2022 05:28:09",
"content": "u-sub?",
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"author_id": 397739001521504260,
"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:30:47",
"content": "what should i make as u?",
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"timestamp": "11/02/2022 05:31:13",
"content": "What do you think",
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"timestamp": "11/02/2022 05:31:26",
"content": "Usually u is something annoying inside another function",
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"timestamp": "11/02/2022 05:32:32",
"content": "i would say 5-4cos(x)",
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"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:32:59",
"content": "but i just need to figure out that rule again, so this can take a while",
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"timestamp": "11/02/2022 05:33:35",
"content": "Yes that is a good candidate",
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"author_name": "Denascite",
"timestamp": "11/02/2022 05:33:40",
"content": "Just take your time",
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"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:40:47",
"content": "ok i have a problem",
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"timestamp": "11/02/2022 05:41:38",
"content": "I get two times a zero",
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"timestamp": "11/02/2022 05:42:23",
"content": "o wait i see it",
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"content": "",
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"id": 1037301833456160800,
"author_id": 397739001521504260,
"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:47:09",
"content": "there is something wrong with the values i need to fill in",
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"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:47:13",
"content": "so the 4 and -4",
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"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 05:47:24",
"content": "do you know what i did wronG?",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/02/2022 05:58:04",
"content": "I would just do the integral without the bounds first",
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"timestamp": "11/02/2022 06:03:04",
"content": "@Mitchel14042004 Has your question been resolved?",
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"timestamp": "11/02/2022 06:06:09",
"content": "i already did that",
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},
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"id": 1037306684353294300,
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"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 06:06:25",
"content": "5/4u^1/4",
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"author_id": 397739001521504260,
"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 06:16:38",
"content": "you still here?",
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"timestamp": "11/02/2022 06:21:56",
"content": "@Helpers",
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},
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"id": 1037312928614989800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "11/02/2022 06:31:14",
"content": "And now sub u back in",
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 06:51:57",
"content": "@Mitchel14042004 Has your question been resolved?",
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"timestamp": "11/02/2022 06:55:20",
"content": "Channel closed",
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201,326 | [
{
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"author_id": 397739001521504260,
"author_name": "Mitchel14042004",
"timestamp": "11/02/2022 06:55:27",
"content": "thank you!",
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},
{
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"author_name": "Mathematics Bot",
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"id": 1037322346618429400,
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"author_name": "kris",
"timestamp": "11/02/2022 07:08:39",
"content": "I have a question: I would like to read more about multivariate statistical analysis, principal component analysis and multidimensional scaling. Is there an introduction book about these topics, which also explains fundamental parts about these topics such as matrix operations and so on.",
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"content": "@kris Has your question been resolved?",
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] | help-9 | 9d9dbd189dd447f9bee0fcd16e95b166 |
201,327 | [
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"content": "Available help channel!",
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},
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"id": 1037336918834290700,
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"content": "Pinned a message.",
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"id": 1037336960815079400,
"author_id": 439169230940930050,
"author_name": "beastboiii",
"timestamp": "11/02/2022 08:06:44",
"content": "I don’t understand where to position the point Q",
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"timestamp": "11/02/2022 08:07:00",
"content": "Because it gives no information about where it is",
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"author_id": 439169230940930050,
"author_name": "beastboiii",
"timestamp": "11/02/2022 08:11:38",
"content": "@Helpers I need help urgently",
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},
{
"id": 1037338217340469400,
"author_id": 439169230940930050,
"author_name": "beastboiii",
"timestamp": "11/02/2022 08:11:43",
"content": "I got class in 5 mins I need one of u to explain",
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"id": 1037339146806628500,
"author_id": 297239942873088000,
"author_name": "AN_here",
"timestamp": "11/02/2022 08:15:25",
"content": "the coordinates are given",
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"timestamp": "11/02/2022 08:16:09",
"content": "I got the answer now",
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"timestamp": "11/02/2022 08:16:18",
"content": ".close",
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"timestamp": "11/02/2022 08:16:19",
"content": "Channel closed",
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] | help-9 | 33604cd64a89455e98e5fef10f7e16c3 |
201,328 | [
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"timestamp": "11/02/2022 08:17:19",
"content": "Available help channel!",
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},
{
"id": 1037339969808760800,
"author_id": 150516851246366720,
"author_name": "MJ",
"timestamp": "11/02/2022 08:18:41",
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"content": "Pinned a message.",
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"author_name": "MJ",
"timestamp": "11/02/2022 08:19:17",
"content": "did my professor perform variation of parameters correctly on 3a? The reduction of order portion is correct; however I'm getting a different answer for my general solution using his y1 and y2",
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"timestamp": "11/02/2022 08:34:17",
"content": "@MJ Has your question been resolved?",
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"timestamp": "11/02/2022 08:49:17",
"content": "Channel closed",
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] | help-9 | 6d4fa96cf6284626aedc5062aff93afd |
201,329 | [
{
"id": 1033214015654076400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 23:03:37",
"content": "Available help channel!",
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},
{
"id": 1033218001429856300,
"author_id": 306816422645071900,
"author_name": "frognep",
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"content": "Pinned a message.",
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"id": 1033218018462928900,
"author_id": 306816422645071900,
"author_name": "frognep",
"timestamp": "10/21/2022 23:19:31",
"content": "in the red box, where did the 3 come from?",
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{
"id": 1033218078462459900,
"author_id": 306816422645071900,
"author_name": "frognep",
"timestamp": "10/21/2022 23:19:46",
"content": "is it because it's a prime?",
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{
"id": 1033218128773120000,
"author_id": 306816422645071900,
"author_name": "frognep",
"timestamp": "10/21/2022 23:19:58",
"content": "or is it because it's a common factor",
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{
"id": 1033218340702912800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/21/2022 23:20:48",
"content": ",w 3 * 2",
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},
{
"id": 1033218348894400500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/21/2022 23:20:50",
"content": "Results provided by WolframAlpha",
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"id": 1033218471149977600,
"author_id": 306816422645071900,
"author_name": "frognep",
"timestamp": "10/21/2022 23:21:19",
"content": "well yes, but they could have used 1 x 6",
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"id": 1033218514804277400,
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"author_name": "frognep",
"timestamp": "10/21/2022 23:21:30",
"content": "why 3 specifically",
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"id": 1033218574979960800,
"author_id": 863703908576002000,
"author_name": "Solution",
"timestamp": "10/21/2022 23:21:44",
"content": "That will take you nowhere",
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"id": 1033218582831714300,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "10/21/2022 23:21:46",
"content": "we must show n is a multiple of 3",
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},
{
"id": 1033218610254053500,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "10/21/2022 23:21:52",
"content": "ie n=3*some integer",
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"id": 1033218614834253800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/21/2022 23:21:54",
"content": "",
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"id": 1033218713777864700,
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"author_name": "frognep",
"timestamp": "10/21/2022 23:22:17",
"content": "thanks",
"attachments": [],
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},
{
"id": 1033218738318753900,
"author_id": 306816422645071900,
"author_name": "frognep",
"timestamp": "10/21/2022 23:22:23",
"content": "and for the 2k, what's the notation under it?",
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"id": 1033218775178301400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "10/21/2022 23:22:32",
"content": "2k is an integer",
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"id": 1033218778214961300,
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"author_name": "frognep",
"timestamp": "10/21/2022 23:22:33",
"content": "2k = k1 exists in integers",
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"id": 1033218789707358200,
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"author_name": "frognep",
"timestamp": "10/21/2022 23:22:35",
"content": "oh okay thanks",
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"id": 1033218876374253600,
"author_id": 306816422645071900,
"author_name": "frognep",
"timestamp": "10/21/2022 23:22:56",
"content": ".close",
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},
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"id": 1033218879255744500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 23:22:57",
"content": "Channel closed",
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}
] | help-9 | 9273431c40f64caea7992a11278a9c42 |
201,330 | [
{
"id": 1037347924830593000,
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 08:50:18",
"content": "Available help channel!",
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"id": 1037350868477030500,
"author_id": 620790522000310300,
"author_name": "budge",
"timestamp": "11/02/2022 09:02:00",
"content": "can I ask for help on how to answer this \n\nI only identified \nt = 3.00s\nvi = ?\ng = -9.81 m/s^2\n\nI am stuck",
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"content": "Pinned a message.",
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"author_name": "budge",
"timestamp": "11/02/2022 09:33:50",
"content": "Is it just me or I saw a reply but I can't see it",
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"id": 1037359387217502300,
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"author_name": "budge",
"timestamp": "11/02/2022 09:35:51",
"content": "@Helpers",
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},
{
"id": 1037362480126623700,
"author_id": 764783124524695600,
"author_name": "Ajatshatru",
"timestamp": "11/02/2022 09:48:08",
"content": "Given, t = 3s and g = -9.8m/s^2\nLet, u = initial velocity and v = final velocity\n\nand here v = 0m/s^(because in this motion of ball, it has reached it's maximum acheivable height and after next sec it will drop down to earth and then again it's speed will start increasing again\n means in short since ball is going upward against g(gravity) so it's velocity is decreasing and at last zero.)\n\nNow, coming to question\nhaving, \n v = u + at\n 0 = u + (-9.8)*3 = u - 9.8*3\n u = 9.8*3\n u = 29.4m/s\n\n(b)\nand Then, by \n h = ut + 1/2at^2\n h = 29.4*3 + 1/2*(-9.8)*3^2\n h = 88.2 + (-4.9)*9\n h = 88.2 - 44.1\n h = 44.1m",
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"timestamp": "11/02/2022 09:54:25",
"content": "@budge Has your question been resolved?",
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"timestamp": "11/02/2022 10:06:13",
"content": "Channel closed",
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] | help-9 | 2348602374b445fa8e62b5d5d82136ef |
201,331 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 10:07:13",
"content": "Available help channel!",
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},
{
"id": 1037368021305540700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/02/2022 10:10:09",
"content": "Could I kindly get help with one problem",
"attachments": [],
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},
{
"id": 1037368023507537900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 10:10:10",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "11/02/2022 10:13:04",
"content": "I have $\\text{arg}(s_1)=\\alpha$ and $\\text{arg}(s_2)=\\beta$.\nI need the value of $\\theta$ such that $\\theta = \\arg(s_1+s_2) - \\alpha$. The answer can only be in terms of $\\alpha$ and $\\beta$. We are also given that $||s_1|| = A_1$ and $||s_2||=A_2$.",
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"id": 1037368844966178800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 10:13:26",
"content": "**idecanymore**",
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"id": 1037368993582952400,
"author_id": 898899824060039200,
"author_name": "JMurble",
"timestamp": "11/02/2022 10:14:01",
"content": "Can someone help me 😭?",
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"author_name": "Solution",
"timestamp": "11/02/2022 10:18:20",
"content": "Which language?",
"attachments": [],
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"content": ",rotate",
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"timestamp": "11/02/2022 10:18:57",
"content": "It's in Hebro 😅",
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"content": "The circle and the area of the circle",
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"id": 1037370416399929300,
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"content": "Yes",
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{
"id": 1037370432736727200,
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"content": "Question are easy",
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{
"id": 1037370494061645800,
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"author_name": "Solution",
"timestamp": "11/02/2022 10:19:59",
"content": "But i can't understand your language",
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"content": "Umm wait I'll get the papers",
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"content": "Sorry to be that guy, but the channel is occupied by @Deleted User 😅",
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"content": "Ok I got it now I'll translate",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "11/02/2022 10:24:41",
"content": "#❓how-to-get-help",
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"timestamp": "11/02/2022 10:25:37",
"content": "Question 1 . \nThe radius of the outer circle is 0.15 meters. The radius of the inner circle is 5 cm. Calculate the dotted area. Write the solution in terms of π.",
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"timestamp": "11/02/2022 10:26:05",
"content": "Oh sorry I just don't know anything here I'm new 😅",
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"timestamp": "11/02/2022 10:31:05",
"content": "@Deleted User Has your question been resolved?",
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] | help-9 | 1f9c569579d94e689d8e7c8ca3345b6c |
201,332 | [
{
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"timestamp": "11/02/2022 10:47:06",
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"id": 1037378369995690100,
"author_id": 1008730885828387000,
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"timestamp": "11/02/2022 10:51:16",
"content": "whats the eact value diagram for 90 degrees onwards",
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},
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"content": "i know for 0 -90 for sin cos and tan its like so",
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"id": 1037378662825214100,
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"timestamp": "11/02/2022 10:52:26",
"content": "sqrt each number then divide each by 2",
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"id": 1037378704491434000,
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"content": "for 0 30 45 60 90 degrees",
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"timestamp": "11/02/2022 10:52:46",
"content": "then reverse that sequence for cos",
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"timestamp": "11/02/2022 10:53:06",
"content": "then divide the surds sin by surds of cos for tan",
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"timestamp": "11/02/2022 11:08:07",
"content": "@itshim Has your question been resolved?",
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"author_id": 212041922150137860,
"author_name": "nerdyjoe",
"timestamp": "11/02/2022 11:20:11",
"content": "https://en.wikipedia.org/wiki/Exact_trigonometric_values#Extended_table_of_exact_values",
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"timestamp": "11/02/2022 11:20:28",
"content": "The usefulness of this is dubious, but it answers your question.",
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"content": "Channel closed",
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] | help-9 | 38e2cfb2e94a4ee98d6b0e53b41491c7 |
201,333 | [
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"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:40:51",
"content": "In the rectangular coordinate system, the centre of a circle of radius $10$ units is the point K(-3;0). Which point fits on the circumference of the circle?",
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"content": "Pinned a message.",
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"timestamp": "11/02/2022 11:40:54",
"content": "**DanielCsocsik**",
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"content": "Answer choices:",
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"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "11/02/2022 11:41:34",
"content": "try drawing it",
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"timestamp": "11/02/2022 11:42:35",
"content": "(A) (-13;1)\n(B) (0;9)\n(C) (3;8)\n(D) (6;5)\n(E) (10;-1)",
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"id": 1037391538843562100,
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:43:36",
"content": "do you know the equation of circle with center (a,b)?",
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"id": 1037391620515053600,
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"timestamp": "11/02/2022 11:43:56",
"content": "hello again",
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"id": 1037391694292861000,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:44:13",
"content": "hi",
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"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:44:15",
"content": "$x^2 + y^2 = r^2$ this?",
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"id": 1037391710243786900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 11:44:17",
"content": "**DanielCsocsik**",
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"id": 1037391743408144400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:44:25",
"content": "that's the equation of a circle at the origin",
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"id": 1037391764757172400,
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:44:30",
"content": "so center (0, 0)",
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"id": 1037391843173871700,
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:44:49",
"content": "okay",
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{
"id": 1037391881606279300,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:44:58",
"content": "so +3 to every x coordinate in the answer choices",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:45:08",
"content": "yeah",
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"id": 1037391948731912200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:45:14",
"content": "so what would be the equation of this circle",
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"id": 1037392071146876900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:45:43",
"content": "ooooo",
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{
"id": 1037392130634678300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:45:57",
"content": "nice pfp btw",
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{
"id": 1037392143381172400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:46:00",
"content": "very fluffy boi",
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{
"id": 1037392167024472200,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:46:06",
"content": "$(x-h)^2 + (y-k)^2 = r^2$",
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},
{
"id": 1037392176734273700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 11:46:08",
"content": "**DanielCsocsik**",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:46:17",
"content": "thanks",
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"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:46:52",
"content": "i picked this pfp 4 yrs ago",
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{
"id": 1037392410470264800,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:47:04",
"content": "still good",
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"id": 1037392434008699000,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:47:10",
"content": "ye",
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{
"id": 1037392442565066900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:47:12",
"content": "i like your pfp too",
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"id": 1037392447703097500,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:47:13",
"content": "yeah apply this to the relevant circle though",
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"id": 1037392473527427200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:47:19",
"content": "thanks, its anatoly karpov",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:47:38",
"content": "honestly",
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},
{
"id": 1037392561498755200,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:47:40",
"content": "i thought it was u",
"attachments": [],
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},
{
"id": 1037392636618735700,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:47:58",
"content": "lol",
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},
{
"id": 1037392688955277400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:48:10",
"content": "that photo was taken like 50 years ago",
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},
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"id": 1037392722425811100,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:48:18",
"content": "ahahah",
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"id": 1037392835269374000,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:48:45",
"content": "so",
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},
{
"id": 1037392856677109800,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:48:50",
"content": "we have this",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:49:31",
"content": "what is k",
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},
{
"id": 1037393031634112500,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:49:32",
"content": "yeah what's h k and r",
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},
{
"id": 1037393051632541700,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:49:37",
"content": "yes",
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"timestamp": "11/02/2022 11:49:44",
"content": "h probably height",
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"timestamp": "11/02/2022 11:49:56",
"content": "r radius",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:50:01",
"content": "whats k",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:50:02",
"content": "wait h and k are bad letters",
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"id": 1037393246327951500,
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:50:23",
"content": "$(x-a)^2 + (y-b)^2 = r^2$ represents a circle with center (a, b)",
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"timestamp": "11/02/2022 11:50:34",
"content": "**bo luo**",
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"timestamp": "11/02/2022 11:50:57",
"content": "so if the center is (0;0)",
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"timestamp": "11/02/2022 11:51:19",
"content": "we will have $x^2 + y^2 = r^2$",
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"timestamp": "11/02/2022 11:51:22",
"content": "**DanielCsocsik**",
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"timestamp": "11/02/2022 11:52:18",
"content": "A) 10^2 + 1^2 not equal 10^2",
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"timestamp": "11/02/2022 11:52:41",
"content": "eh",
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"timestamp": "11/02/2022 11:53:06",
"content": "this aint right?",
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"timestamp": "11/02/2022 11:53:31",
"content": "oh yeah it doesn't equal 10^2",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:53:37",
"content": "but why are circle doesn't have center 0 0",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:54:07",
"content": "what would be a and b in the circle with center (-3,0)",
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"timestamp": "11/02/2022 11:54:25",
"content": "a -> -3\nb -> 0",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:54:51",
"content": "ye so plug into formula",
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"timestamp": "11/02/2022 11:54:57",
"content": "right",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:56:04",
"content": ",calc (-13-(-3))^2 + (1-0)^2",
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"timestamp": "11/02/2022 11:56:04",
"content": "Result:\n```\n101\n```",
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"id": 1037394712518205400,
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"timestamp": "11/02/2022 11:56:13",
"content": "this isnt 100",
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"id": 1037394761662865500,
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:56:25",
"content": "yeah you've got the method",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:56:39",
"content": "but first I'd write it as (x + 3)^2 + y^2 = 100",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:56:52",
"content": "and then you plug in values of x and y",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:56:58",
"content": "until it satisfies",
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"id": 1037395018102620200,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:57:26",
"content": ",calc (0 + 3)^2 + 9^2",
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"id": 1037395042958057500,
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"timestamp": "11/02/2022 11:57:32",
"content": "Result:\n```\n90\n```",
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"id": 1037395119587987600,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:57:50",
"content": ",calc (3 + 3)^2 + 8^2",
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{
"id": 1037395120988897400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 11:57:50",
"content": "Result:\n```\n100\n```",
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"id": 1037395152924324000,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:57:58",
"content": "letsgo",
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"id": 1037395192858296400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:58:07",
"content": "😎",
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"id": 1037395455509798900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:59:10",
"content": "this is gettin crazy",
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"id": 1037395516713087100,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 11:59:25",
"content": "you are covering a vary wide variety of subjects",
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"timestamp": "11/02/2022 11:59:25",
"content": "i learn more from sexy chess master",
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"author_name": "bo luo",
"timestamp": "11/02/2022 11:59:32",
"content": "ye ye ye",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:59:33",
"content": "than my actual teacher",
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"timestamp": "11/02/2022 11:59:40",
"content": "yes",
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"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 11:59:50",
"content": "i'm practicing for a competition",
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"id": 1037395697516945500,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:00:08",
"content": "i have 180 questions i can practice from",
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"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:00:18",
"content": "oh yeah what's the competition btw?",
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"id": 1037395782514511900,
"author_id": 673191963016691700,
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"timestamp": "11/02/2022 12:00:28",
"content": "its called",
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"id": 1037395810939314300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:00:35",
"content": "I have a competition myself in a few days",
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"timestamp": "11/02/2022 12:00:35",
"content": "zrínyi ilona matematika verseny",
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"timestamp": "11/02/2022 12:00:38",
"content": "its about logic",
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"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:00:51",
"content": "but has questions like above",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:00:52",
"content": "nice",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:00:55",
"content": "wait",
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"id": 1037395913745903600,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:00:59",
"content": "that question can be solved with logic as well",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:01:03",
"content": "want me to show u how",
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"timestamp": "11/02/2022 12:01:11",
"content": "cus that's probably what they expect",
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"timestamp": "11/02/2022 12:01:11",
"content": "if you have time",
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"timestamp": "11/02/2022 12:01:12",
"content": "sure",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:01:38",
"content": "i mostly care about the simplicity and the speed of the method",
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"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:01:51",
"content": "cuz i wont have infinite time on a competition",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:01:52",
"content": "ok so the x distance from the center to the point on circumfernece squared + the y distance from the point on circumference squared is the radius squared",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:01:56",
"content": "just fromf pythagoras",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:02:01",
"content": "it's the same thing as what we did",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:02:12",
"content": "but the logic is reasoning instead of using the equation",
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"timestamp": "11/02/2022 12:03:48",
"content": "i dont get it",
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"timestamp": "11/02/2022 12:04:14",
"content": "if i input the coordinate of a point",
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"timestamp": "11/02/2022 12:04:19",
"content": "do you understand why this equation works?",
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"timestamp": "11/02/2022 12:04:49",
"content": "not really",
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"timestamp": "11/02/2022 12:04:50",
"content": "(A) (-13;1)\ni can illustrate with this example",
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"timestamp": "11/02/2022 12:04:59",
"content": "the x coordinate ofe the cneter is -3",
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"timestamp": "11/02/2022 12:05:06",
"content": "right",
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"timestamp": "11/02/2022 12:05:12",
"content": "so the x distance from A is 10",
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"timestamp": "11/02/2022 12:05:30",
"content": "and y coordinate of center is 0, so distance from point A is 1",
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"timestamp": "11/02/2022 12:05:42",
"content": "yes",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:05:54",
"content": "now it's just pythagoras",
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"timestamp": "11/02/2022 12:06:04",
"content": "(10)^2 + 1^2 = r^2",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:06:06",
"content": "but it doesn't",
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"timestamp": "11/02/2022 12:06:13",
"content": "yes",
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"timestamp": "11/02/2022 12:06:21",
"content": "so with 3;8",
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"timestamp": "11/02/2022 12:06:41",
"content": "x distance is 3+3",
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"timestamp": "11/02/2022 12:06:53",
"content": "ye",
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"timestamp": "11/02/2022 12:06:58",
"content": "y doesnt change",
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"timestamp": "11/02/2022 12:07:03",
"content": "are you sure?",
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"timestamp": "11/02/2022 12:07:04",
"content": "6^2 + 8^2",
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:07:19",
"content": "oh ye",
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},
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"id": 1037397536534700000,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:07:26",
"content": "y does change though, goes from 0 to 8",
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"timestamp": "11/02/2022 12:07:30",
"content": "ye",
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},
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"id": 1037397637466443900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:07:50",
"content": "but the center point doesnt go away from 0;0 on the y axis",
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},
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"id": 1037397685839347700,
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"author_name": "bo luo",
"timestamp": "11/02/2022 12:08:02",
"content": "yea",
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},
{
"id": 1037397714863927400,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:08:09",
"content": "thats what i meant to say with this",
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},
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"id": 1037397722380111900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:08:10",
"content": "cool",
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},
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"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:08:25",
"content": "good luck for your competition bro, I see you are working hard 😎 👍",
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},
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"id": 1037397842303660000,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:08:39",
"content": "thanks bro",
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},
{
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"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:08:44",
"content": "may i ask a question",
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},
{
"id": 1037397877670023300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:08:47",
"content": "yea",
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},
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"id": 1037397921991241700,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:08:58",
"content": "what competition you will have",
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},
{
"id": 1037398007622148100,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:09:18",
"content": "https://www.ukmt.org.uk/competitions/solo/senior-kangaroo/archive\nthis one",
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},
{
"id": 1037398056557101200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:09:30",
"content": "it's quite easy to be honest",
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},
{
"id": 1037398083639705700,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:09:37",
"content": "but the time is short",
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},
{
"id": 1037398115654832300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:09:44",
"content": "so you have to solve them quickly using clever method",
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},
{
"id": 1037398264233853000,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:10:20",
"content": "we have some kind of kangaroo competition here too",
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},
{
"id": 1037398314464849900,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:10:32",
"content": "yeah you are from hungary right?",
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},
{
"id": 1037398421046304800,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:10:57",
"content": "yes",
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},
{
"id": 1037398495872688300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:11:15",
"content": "uk and hungary work together",
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},
{
"id": 1037398505762869200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:11:17",
"content": "for imo",
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},
{
"id": 1037398568929079300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:11:32",
"content": "which is kinda cool",
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},
{
"id": 1037398597513261000,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:11:39",
"content": "how old are u btw?",
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},
{
"id": 1037398713884213200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:12:07",
"content": "they have joint camps",
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},
{
"id": 1037398815772254300,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:12:31",
"content": "honestly",
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},
{
"id": 1037398833866481700,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:12:35",
"content": "something else comes to mind",
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},
{
"id": 1037398841604985000,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:12:37",
"content": "when i read joint",
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},
{
"id": 1037398886819565700,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:12:48",
"content": "15",
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{
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"name": "bo luo",
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},
{
"id": 1037398914057388200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:12:55",
"content": "same :D",
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},
{
"id": 1037398945988620300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:13:02",
"content": "if we both go to imo we can meet lol",
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},
{
"id": 1037398948928835600,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:13:03",
"content": "but you are way smarter",
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},
{
"id": 1037399044273733800,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:13:26",
"content": "not necessarily I just know a lot because I studied by myself, but you can catch up to me",
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"id": 1037399304609988700,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:14:28",
"content": "i hope i will",
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},
{
"id": 1037399512978821100,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:15:17",
"content": "did you ever win a competition",
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},
{
"id": 1037399515541557400,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:15:18",
"content": "?",
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},
{
"id": 1037399588480487600,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:15:35",
"content": "I got best in school for some olyimpiads",
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},
{
"id": 1037399601013067900,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:15:38",
"content": "but you don't really \"win\"",
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},
{
"id": 1037399655211860000,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:15:51",
"content": "you just get a gold, silver, or bronze certificate",
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},
{
"id": 1037399749168476300,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:16:14",
"content": "the competitiosn I've been in are all national, so loads of people compete",
"attachments": [],
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},
{
"id": 1037399905611808900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:16:51",
"content": "that sounds like a lot of people",
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},
{
"id": 1037400204489535600,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:18:02",
"content": "okay, gtg",
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},
{
"id": 1037400253076353200,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:18:14",
"content": "thanks for the help again",
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},
{
"id": 1037400298873946100,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:18:25",
"content": "good luck for your competition",
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},
{
"id": 1037400439240544400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:18:58",
"content": "ty u 2",
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},
{
"id": 1037400456936292400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "11/02/2022 12:19:02",
"content": "see you",
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},
{
"id": 1037400464234401900,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:19:04",
"content": "cya",
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"id": 1037400488821403600,
"author_id": 673191963016691700,
"author_name": "DanielCsocsik",
"timestamp": "11/02/2022 12:19:10",
"content": ".close",
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},
{
"id": 1037400491497365500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:19:11",
"content": "Channel closed",
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}
] | help-9 | c43b7ad088ed4aa09e396b3d8c207635 |
201,334 | [
{
"id": 1037400743193354400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:20:11",
"content": "Available help channel!",
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},
{
"id": 1037402127519191200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:25:41",
"content": "when mking a change to polar coordinates in a limit proof",
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},
{
"id": 1037402131621216400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:25:42",
"content": "Pinned a message.",
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"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:25:46",
"content": "why does r -> 0",
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"reference": null
},
{
"id": 1037402200130982000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:25:58",
"content": "",
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{
"id": 1037402200823038000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:25:58",
"content": "im looking at my old notes",
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},
{
"id": 1037402218581729400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:26:02",
"content": "and i said that r -> 0",
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},
{
"id": 1037402226827731100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:26:04",
"content": "but why?",
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},
{
"id": 1037402414204059800,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "11/02/2022 12:26:49",
"content": "since r = sqrt(x^2 + y^2) = sqrt(0 + 0) = 0",
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{
"id": 1037402440464605300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:26:55",
"content": "oh right",
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},
{
"id": 1037402445065765000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:26:56",
"content": "AHHA",
"attachments": [],
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},
{
"id": 1037402453697638500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:26:58",
"content": "radius",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037402457686409300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:26:59",
"content": "gotcha",
"attachments": [],
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"reference": null
},
{
"id": 1037402506952712300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:11",
"content": "that was stupid",
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},
{
"id": 1037402509637079200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:12",
"content": "well",
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},
{
"id": 1037402538145742800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:19",
"content": "this was my first time i did a limit",
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{
"id": 1037402555677950000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:23",
"content": "i didnt rly know what was doing",
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},
{
"id": 1037402567635910800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:26",
"content": "ty for the help",
"attachments": [],
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},
{
"id": 1037402571473682400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:27",
"content": "<3",
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"reference": null
},
{
"id": 1037402611340546000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "11/02/2022 12:27:36",
"content": ".close",
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"reference": null
},
{
"id": 1037402613915852800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:27:37",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] | help-9 | 431517d2b97d416ba3d3f111600358b7 |
201,335 | [
{
"id": 1037404664636915700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:35:46",
"content": "Available help channel!",
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},
{
"id": 1037405146491142300,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "11/02/2022 12:37:40",
"content": "How does this Logically work?",
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"id": 1037405151939539000,
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:37:42",
"content": "Pinned a message.",
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"messageId": 1037405146491142300,
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}
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{
"id": 1037405270789345300,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/02/2022 12:38:10",
"content": "What have you done in terms of working?",
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"reference": null
},
{
"id": 1037405297989386200,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "11/02/2022 12:38:17",
"content": "Isn't this equal to cos, here's my work",
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"id": 1037405478193479800,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/02/2022 12:39:00",
"content": "Uh",
"attachments": [],
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},
{
"id": 1037405559919489200,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/02/2022 12:39:19",
"content": "Start by combining those fractions",
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"author_name": "Scarecrow",
"timestamp": "11/02/2022 12:39:29",
"content": "just combine fractions",
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"author_name": "Scarecrow",
"timestamp": "11/02/2022 12:39:47",
"content": "and it will be much faster",
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"id": 1037405706392969200,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "11/02/2022 12:39:54",
"content": "Am I just over thinking this? Lol",
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"id": 1037405778635669600,
"author_id": 993261577329455200,
"author_name": "Scarecrow",
"timestamp": "11/02/2022 12:40:11",
"content": "yes",
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"id": 1037405798831231100,
"author_id": 993261577329455200,
"author_name": "Scarecrow",
"timestamp": "11/02/2022 12:40:16",
"content": "just simplify what is given",
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"author_id": 993261577329455200,
"author_name": "Scarecrow",
"timestamp": "11/02/2022 12:40:23",
"content": "this isn't an equation",
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"id": 1037405839331434500,
"author_id": 993261577329455200,
"author_name": "Scarecrow",
"timestamp": "11/02/2022 12:40:26",
"content": "it's an expression",
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"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "11/02/2022 12:42:58",
"content": "Welp, I don't know how to combine them, but I'll find out how, thanks for your help, at least I now know where to start",
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"id": 1037406728335134700,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "11/02/2022 12:43:58",
"content": "Find the LCM of the denominators",
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"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "11/02/2022 12:47:42",
"content": "what would be the LCM of SIN? \ni dont think it has one , am looking at this wrong?",
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"id": 1037408574432878700,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "11/02/2022 12:51:18",
"content": ".close",
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"id": 1037408577427624100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:51:18",
"content": "Channel closed",
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] | help-9 | eb6176086a3b4bf5bd42dd8e782b100c |
201,336 | [
{
"id": 1037408829719199700,
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 12:52:19",
"content": "Available help channel!",
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"id": 1037409374559273000,
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"author_name": "the neternel",
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"timestamp": "11/02/2022 12:54:29",
"content": "Pinned a message.",
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"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 12:54:33",
"content": "help please",
"attachments": [],
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},
{
"id": 1037412589820444800,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:07:15",
"content": "@Helpers",
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},
{
"id": 1037413778733662200,
"author_id": 483676919418585100,
"author_name": "𝓟𝓮𝓪𝓬𝓮",
"timestamp": "11/02/2022 13:11:59",
"content": "let x = cos x ?",
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"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:14:08",
"content": "i also used x= cosA and tried to limit the domain of cosA a per requirements of question its solvable but i want to know is there any other way of solving it",
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"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:23:53",
"content": "let x = cos (A)\nsin^-1 (2x sqrt(1 - x^2)) =\nsin^-1 (2 cos (A) sin (A)) = \nsin^-1 (sin (2A)) = 2A =\n2 cos^-1 (x)",
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"id": 1037416886780055700,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:24:20",
"content": "literally the same shit",
"attachments": [],
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},
{
"id": 1037416959807082600,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:24:37",
"content": "literally what is the problem with it",
"attachments": [],
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},
{
"id": 1037417064471732400,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:25:02",
"content": "i'm trying figuring out other methods",
"attachments": [],
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},
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"id": 1037417127059132500,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:25:17",
"content": "any ideas?",
"attachments": [],
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},
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"id": 1037417724076380200,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:27:39",
"content": "u can \"sin\" both sides, and use sin(2z)=2sin(z)cos(z)\nthen after simplification u'll get \n2x sqrt(1-x^2) = 2x sqrt(1-x^2)",
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"id": 1037417973725548500,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:28:39",
"content": "what is z?",
"attachments": [],
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"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:29:14",
"content": "arbitrary variable",
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},
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"id": 1037418277061791900,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:29:51",
"content": "how did you simplify the rhs again?",
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"id": 1037418739353784300,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:31:41",
"content": "sin (2 cos^-1 (x)) = \n2 sin (cos^-1 (x)) cos (cos^-1 (x)) =\n2 sin (cos^-1 (x)) x =\n2 x sqrt (1 - x^2)",
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"id": 1037419389043089500,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:34:16",
"content": "i got lost at 2nd step",
"attachments": [],
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"id": 1037419505946730500,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:34:44",
"content": "i used the identity sin(2z)=2sin(z)cos(z)\nwhere z = cos^-1 (x)",
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"id": 1037419617540390900,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:35:11",
"content": "ah",
"attachments": [],
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},
{
"id": 1037419748083896300,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:35:42",
"content": "that's really innovative",
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},
{
"id": 1037419787501969400,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:35:51",
"content": "thanks",
"attachments": [],
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},
{
"id": 1037419830153838700,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:36:01",
"content": "you're welcome",
"attachments": [],
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},
{
"id": 1037419862311583900,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:36:09",
"content": "any other ideas still in mind",
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"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "11/02/2022 13:40:40",
"content": "maybe differentiate the LHS divided by the RHS, then show the derivative is equal to 0.\nsince the derivative is 0, the function is constant and therefore u only need to evaluate it for x=1.\nyou will get that it is equal to 1 and then by multiplying both sides by 2 cos^-1 (x) u'll get what u wanted to prove",
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"author_name": "the neternel",
"timestamp": "11/02/2022 13:41:54",
"content": "oh",
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"id": 1037422141953540100,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:45:13",
"content": "alright thanks for the assistance",
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},
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"id": 1037422214250770600,
"author_id": 1025795312952033300,
"author_name": "the neternel",
"timestamp": "11/02/2022 13:45:30",
"content": ".close",
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},
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"id": 1037422217262268500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 13:45:30",
"content": "Channel closed",
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}
] | help-9 | d94347da37154055a2bbf88ddc5d7e74 |
201,337 | [
{
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 13:46:30",
"content": "Available help channel!",
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},
{
"id": 1037422619512799400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:47:06",
"content": "!help",
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},
{
"id": 1037422621433802800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 13:47:07",
"content": "Pinned a message.",
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"id": 1037422672814014600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:47:19",
"content": "Hello. This question perplexes me. How do I solve it?",
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"id": 1037423339012108400,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 13:49:58",
"content": "If 3ij^2 is the width and x the length how would you calculate the area of the usually?",
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"id": 1037423425695793300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:50:19",
"content": "A = L * 3ij²",
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},
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"id": 1037423524484231200,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 13:50:42",
"content": "And is A given?",
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},
{
"id": 1037423571825344500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:50:53",
"content": "Yes. I think.",
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},
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"id": 1037423738368569300,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 13:51:33",
"content": "So if it is given then plug it in.",
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"id": 1037424006279737500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:52:37",
"content": "L * 3ij² = 12i²j² + 9ij^4",
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"id": 1037424089247256600,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 13:52:57",
"content": "Now find, i.e. solve for L",
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"id": 1037424113125425300,
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"author_name": "Naashe",
"timestamp": "11/02/2022 13:53:02",
"content": "Ok",
"attachments": [],
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},
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"id": 1037424224685535400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:53:29",
"content": "Sorry. Confused.",
"attachments": [],
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},
{
"id": 1037424384383656000,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 13:54:07",
"content": "Just treat i and j like numbers. Write down what you think is right and we check afterwards.",
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"id": 1037424631948267500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:55:06",
"content": "L x 3ij² = 12i²j² + 9ij^4\nL = 12i²j² / -3ij² + 9ij^4",
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},
{
"id": 1037424678710546400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:55:17",
"content": "I treated it like an equation and moved the 3ij² to the other side",
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"id": 1037425405868642300,
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"author_name": "djuji",
"timestamp": "11/02/2022 13:58:11",
"content": "Yeah that would be the correct thing to do but you calculation is wrong. (a + b) / c = a/c + b/c what you have is a/(-b) + c.",
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"id": 1037425507039449200,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:58:35",
"content": "This is so confusing",
"attachments": [],
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},
{
"id": 1037425515394498700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:58:37",
"content": "would it be",
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},
{
"id": 1037425568410505300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 13:58:49",
"content": "L = 12i²j² / 3ij² + 9ij^4",
"attachments": [],
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},
{
"id": 1037425976856027100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 14:00:27",
"content": "Is the answer 4i + 9ij^4",
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{
"id": 1037426140941402200,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 14:01:06",
"content": "No 🙂",
"attachments": [],
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},
{
"id": 1037426169777234000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 14:01:13",
"content": "Why are you smile",
"attachments": [],
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},
{
"id": 1037426396244480100,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 14:02:07",
"content": "Just because a simple No always looks rude.",
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"id": 1037426423889154200,
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"author_name": "djuji",
"timestamp": "11/02/2022 14:02:13",
"content": "",
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"author_name": "Naashe",
"timestamp": "11/02/2022 14:02:16",
"content": "Tank yo",
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{
"id": 1037426529828884600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 14:02:39",
"content": "can u tell me how i do this step by step am worried cause this is my level work and i cant do it",
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"id": 1037427141903650800,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 14:05:05",
"content": "See the first line? A = 12i^2j^2 , C = 9ij^4 and B = 3 ij^2 in your case. You have the right side and want the left one.",
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"id": 1037427323030470700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 14:05:48",
"content": "they haven taught me this formula in school can u show me the other way",
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"timestamp": "11/02/2022 14:06:25",
"content": "You haven't talked about fractions?",
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"timestamp": "11/02/2022 14:07:41",
"content": "yes but i dont know this formula",
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"timestamp": "11/02/2022 14:07:53",
"content": "can u explain to me in other way cause i am having deep trouble understanding",
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"timestamp": "11/02/2022 14:11:38",
"content": "You should learn how to properly add subtract multiply and divide fractions. That stuff is important! Anyhow in this case you forgot to devide the sevond part of the sum (9ij^4) with 3ij^2. So do that and you have your L",
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"timestamp": "11/02/2022 14:12:08",
"content": "i do know! 😦",
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"timestamp": "11/02/2022 14:14:02",
"content": "so (9ij^4) / 3ij^2",
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"timestamp": "11/02/2022 14:14:25",
"content": "answer is 3j²",
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"timestamp": "11/02/2022 14:14:27",
"content": "?",
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"timestamp": "11/02/2022 14:18:02",
"content": "?",
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"author_name": "Naashe",
"timestamp": "11/02/2022 14:20:03",
"content": "😦",
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"timestamp": "11/02/2022 14:21:44",
"content": "3ij² * L = 12i²j² +9ij^4\nL = 12i²j² +9ij^4 - 3ij²",
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"timestamp": "11/02/2022 14:27:25",
"content": "@Helpers",
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"timestamp": "11/02/2022 14:30:07",
"content": "This was correct.",
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"timestamp": "11/02/2022 14:30:16",
"content": "I had to use a simplifier for that",
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"timestamp": "11/02/2022 14:30:21",
"content": "Its just so hard to understand",
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"timestamp": "11/02/2022 14:30:27",
"content": "But rest was wrong again.",
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"timestamp": "11/02/2022 14:30:41",
"content": "what would the working be for it?",
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"timestamp": "11/02/2022 14:36:32",
"content": "Idk where you always get the (-3ij^2) from. I summarize what you already got: L = (12i^2j^2 + 9ij^4)/ 3ij^2 = 12i^2j^2 / 3ij^2 + 9ij^4/ 3ij^2 now put in what you calculated for those last two and you are done. \nYou gotta practice fractions and exponent rules.",
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"timestamp": "11/02/2022 14:37:40",
"content": "See what u just posted there i cant understand :",
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"timestamp": "11/02/2022 14:37:59",
"content": "You had 4i for the first and 3j^2 for the second.",
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"timestamp": "11/02/2022 14:38:24",
"content": "im not used to this ^",
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"timestamp": "11/02/2022 14:38:27",
"content": "so i prefer it in the small number",
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"timestamp": "11/02/2022 14:38:30",
"content": "let me change it into that",
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"timestamp": "11/02/2022 14:39:22",
"content": "And thats the problem you have to practice that stuff. Start with simple numbers and then go to the more difficult stuff.",
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"timestamp": "11/02/2022 14:40:06",
"content": "i just lost my progres",
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"timestamp": "11/02/2022 14:41:24",
"content": "(12i²j² + 9ij⁴)/ 3ij² = 12i²j² / 3ij² + 9ij⁴/ 3ij²",
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"timestamp": "11/02/2022 14:41:46",
"content": "see i still dont seem to understand bruh i never done this in school homework before ..",
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"timestamp": "11/02/2022 14:41:59",
"content": "you literally",
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"timestamp": "11/02/2022 14:42:00",
"content": "cant add",
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"timestamp": "11/02/2022 14:42:04",
"content": "(12i²j² + 9ij⁴)",
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"author_name": "Naashe",
"timestamp": "11/02/2022 14:42:09",
"content": "they dont have the same terms",
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"timestamp": "11/02/2022 14:42:12",
"content": "u can multiply but not add",
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"timestamp": "11/02/2022 14:45:36",
"content": "You dont have to literally add them. Thats not the point of the excercise. The point of the exercise is to show that you are able to work with exponents properly and know how to solve an equation like the one above. \nJust take what you have in the first line of you message and simplyfy the two summands. Try and get rid of the fractions. You already found an easier expression for both of them",
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"author_name": "Naashe",
"timestamp": "11/02/2022 14:46:15",
"content": "Am I dumb?",
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"timestamp": "11/02/2022 14:46:42",
"content": "Because. You have explained it as well as you can and I have trouble understanding",
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"timestamp": "11/02/2022 14:47:18",
"content": "is the \"first line\" this? (12i²j² + 9ij⁴)/ 3ij² = 12i²j² / 3ij² + 9ij⁴/ 3ij²",
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"timestamp": "11/02/2022 14:47:24",
"content": "Yes",
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"author_name": "djuji",
"timestamp": "11/02/2022 14:47:39",
"content": "To the second part of your message",
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"timestamp": "11/02/2022 14:47:50",
"content": "which message",
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"timestamp": "11/02/2022 14:48:03",
"content": "this one i suppose",
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"timestamp": "11/02/2022 14:48:03",
"content": "This is the first line",
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"timestamp": "11/02/2022 14:48:07",
"content": "Alright",
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"timestamp": "11/02/2022 14:48:10",
"content": "now i simplify that",
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"timestamp": "11/02/2022 14:48:15",
"content": "Yes",
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"author_name": "Naashe",
"timestamp": "11/02/2022 14:48:46",
"content": "thats an equation right",
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"timestamp": "11/02/2022 14:49:05",
"content": "Ok, to make this hopefully easy. Do it step by step",
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"timestamp": "11/02/2022 14:55:23",
"content": "Ok: Whats an easier expression for $\\frac{12i^2j^2}{3ij^2}$ ?",
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"timestamp": "11/02/2022 14:55:26",
"content": "**djuji**",
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"timestamp": "11/02/2022 14:56:06",
"content": "that's step one.",
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"timestamp": "11/02/2022 14:57:04",
"content": "oh my lord",
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"timestamp": "11/02/2022 14:57:22",
"content": "i bet you when my teacher marks this she wont make it like that im sorry but i just bet because she never taught us these type of things before",
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"timestamp": "11/02/2022 14:58:04",
"content": "I'm sorry man I just don't know how to explain that otherwise",
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"timestamp": "11/02/2022 14:58:22",
"content": "Ill hear your one out though",
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"content": "?",
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"timestamp": "11/02/2022 14:58:44",
"content": "your explanation",
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"content": "you already found that easier expression being = $4i$. Then you do the same thing for the second summand $\\frac{9ij^4}{3ij^2}$ where you found the easier expression to be = $3j^2$. now you just use those as the summands. And have your L",
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"timestamp": "11/02/2022 15:03:03",
"content": "**djuji**",
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"content": "summand?",
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"timestamp": "11/02/2022 15:04:15",
"content": "But if you really never talked about fractions in class before like this you can also just stop here: L= 12i²j² / 3ij² + 9ij⁴/ 3ij²",
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"timestamp": "11/02/2022 15:04:29",
"content": "yeah so i stop there",
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"timestamp": "11/02/2022 15:04:41",
"content": "$L= 12i²j² / 3ij² + 9ij⁴/ 3ij²$",
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"timestamp": "11/02/2022 15:04:44",
"content": "**Naashe**",
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"timestamp": "11/02/2022 15:05:10",
"content": "now I..",
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"timestamp": "11/02/2022 15:05:34",
"content": "now your done that's your answer.",
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"timestamp": "11/02/2022 15:05:55",
"content": "Is it possible for that to be simplified",
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"timestamp": "11/02/2022 15:06:15",
"content": "that's what I was just explaining to you.",
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"timestamp": "11/02/2022 15:06:17",
"content": "🙂",
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"timestamp": "11/02/2022 15:06:22",
"content": "is it possible",
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"timestamp": "11/02/2022 15:06:32",
"content": "yes.",
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"timestamp": "11/02/2022 15:06:41",
"content": "like this",
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"timestamp": "11/02/2022 15:06:41",
"content": "and if i dont simplify it i dont get full mark",
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"timestamp": "11/02/2022 15:07:00",
"content": "so to simplify that",
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"content": "itd be",
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"content": "12 / 3 = 4",
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"timestamp": "11/02/2022 15:07:20",
"content": "i² / i =",
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"timestamp": "11/02/2022 15:07:28",
"content": "no",
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"content": "no",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:07:50",
"content": "they either gave the wrong question or im extremely incapable of doing this",
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"timestamp": "11/02/2022 15:07:59",
"content": "How do i simplify that",
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"timestamp": "11/02/2022 15:08:32",
"content": "on my simplifer it says that simplified is",
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"timestamp": "11/02/2022 15:08:32",
"content": "-4ij^4-3j^6",
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"timestamp": "11/02/2022 15:09:34",
"content": "no that's not correct.",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:09:47",
"content": "but the calculator said that",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:12:02",
"content": "believe me it's wrong. maybe a typo?",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:12:09",
"content": "lemme show u what i put",
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"timestamp": "11/02/2022 15:12:17",
"content": "",
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"timestamp": "11/02/2022 15:13:42",
"content": "that is not the same as the L you are looking at.",
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"timestamp": "11/02/2022 15:14:07",
"content": "sorry. i msesed up",
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"timestamp": "11/02/2022 15:14:21",
"content": "no problem.",
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"timestamp": "11/02/2022 15:14:40",
"content": "wait but",
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"timestamp": "11/02/2022 15:14:48",
"content": "its typed the same",
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"timestamp": "11/02/2022 15:14:51",
"content": "on the simplify part",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:15:26",
"content": "I now but the thing your using clearly doesn't recognize it properly.",
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"timestamp": "11/02/2022 15:15:33",
"content": "Ok",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:15:37",
"content": "So how can i simplify it",
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"timestamp": "11/02/2022 15:15:42",
"content": "",
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"timestamp": "11/02/2022 15:18:03",
"content": "As I said simply $\\frac{12i^2j^2}{3ij^2}$ first and then $\\frac{9ij^4}{3ij^2}$ then add those simplified versions together and you're done.",
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"timestamp": "11/02/2022 15:18:06",
"content": "**djuji**",
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"timestamp": "11/02/2022 15:18:20",
"content": "So",
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"timestamp": "11/02/2022 15:18:22",
"content": "you mean",
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"timestamp": "11/02/2022 15:18:37",
"content": "12i²j² ÷ 3ij²",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:18:47",
"content": "no",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:19:00",
"content": "thats literally",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:19:01",
"content": "but",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:19:02",
"content": "like",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:19:05",
"content": "fraction means divide",
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"timestamp": "11/02/2022 15:19:21",
"content": "sorry I misread",
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"timestamp": "11/02/2022 15:19:24",
"content": "im very eager to see how my teacher solves this one",
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"timestamp": "11/02/2022 15:19:24",
"content": "yes",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:19:33",
"content": "that one first",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:19:43",
"content": "12i²j² ÷ 3ij²\nso thats",
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"timestamp": "11/02/2022 15:19:47",
"content": "12/3 = 4",
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"timestamp": "11/02/2022 15:19:59",
"content": "yes",
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"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:20:06",
"content": "and the rest?",
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"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:20:14",
"content": "i²/i = ??",
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"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:20:25",
"content": "any guess?",
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"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:20:28",
"content": "Hm..",
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"id": 1037446200439341000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:20:49",
"content": "not sure",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:20:58",
"content": "just try",
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{
"id": 1037446262133358700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:21:03",
"content": "i cant think",
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"id": 1037446273936130000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:21:06",
"content": "how to do it",
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},
{
"id": 1037446279548129300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:21:07",
"content": "i know",
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{
"id": 1037446349542662300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:21:24",
"content": "i² x i = i^3",
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"id": 1037446391531839500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:21:34",
"content": "but i dont know whta",
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"id": 1037446417045799000,
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:21:40",
"content": "i² / i =",
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"id": 1037446889039216800,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:23:33",
"content": "when you multiply $i^2$ and i you add 1 and get $i^3$ so what do you do when you devide i?",
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"timestamp": "11/02/2022 15:23:35",
"content": "**djuji**",
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"timestamp": "11/02/2022 15:24:21",
"content": "take away 1",
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"id": 1037447114910875800,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:24:27",
"content": "yes!",
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{
"id": 1037447135450386400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:31",
"content": "So that is i",
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"timestamp": "11/02/2022 15:24:36",
"content": "yes",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:38",
"content": "Nice",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:39",
"content": "So",
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},
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"id": 1037447171584315400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:40",
"content": "its",
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"id": 1037447193763786800,
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:45",
"content": "4i",
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"id": 1037447197983248500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:46",
"content": "so far",
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"id": 1037447200772477000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:24:47",
"content": "then",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:24:56",
"content": "yep",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:25:10",
"content": "j² / j² = 0",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:25:31",
"content": "no what is 2 devidedd by 2?",
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:25:35",
"content": "1",
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},
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"id": 1037447416363876400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:25:38",
"content": "oh screw me",
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},
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"id": 1037447425599750300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:25:41",
"content": "Ok so its",
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},
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"id": 1037447458600521900,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:25:48",
"content": "4ij²",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:26:18",
"content": "no you had j² / j² = 1 remember",
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"timestamp": "11/02/2022 15:26:27",
"content": "So it's",
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},
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"id": 1037447634488668200,
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:26:30",
"content": "4i1",
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},
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"id": 1037447638515204100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:26:31",
"content": "?",
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"id": 1037447663118983200,
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"author_name": "djuji",
"timestamp": "11/02/2022 15:26:37",
"content": "yes",
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},
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"id": 1037447680374358000,
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:26:41",
"content": "wait seriously.",
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"id": 1037447699034812400,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:26:46",
"content": "yes",
"attachments": [],
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},
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"id": 1037447777241813100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:27:04",
"content": "on the simplifer it just gives me 4i",
"attachments": [],
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"id": 1037447935731961900,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:27:42",
"content": "that's the same a number times 1 is just the number you started with. you don't have to write the 1.",
"attachments": [],
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"id": 1037448091655209100,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:28:19",
"content": "now think you can do the same for the second part?",
"attachments": [],
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},
{
"id": 1037448124354015400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:28:27",
"content": "now we need to workout the other pat",
"attachments": [],
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},
{
"id": 1037448135989018600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:28:30",
"content": "let me try",
"attachments": [],
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},
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"id": 1037448162434109400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:28:36",
"content": "",
"attachments": [
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"author_name": "Naashe",
"timestamp": "11/02/2022 15:28:45",
"content": "9/3 = 3",
"attachments": [],
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"id": 1037448228901245000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:28:52",
"content": "i / i = 1",
"attachments": [],
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},
{
"id": 1037448312204308600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:29:12",
"content": "j^4 / j^2 = j^2 ?",
"attachments": [],
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},
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"id": 1037448348103348200,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:29:21",
"content": "yes! good job",
"attachments": [],
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},
{
"id": 1037448373885731000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:29:27",
"content": "alr thanks im getting there",
"attachments": [],
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},
{
"id": 1037448383226462200,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:29:29",
"content": "so its",
"attachments": [],
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},
{
"id": 1037448410812395600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:29:35",
"content": "31j^2",
"attachments": [],
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},
{
"id": 1037448546187747300,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:30:08",
"content": "don't write the 1 down otherwise people will think you mean 31",
"attachments": [],
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},
{
"id": 1037448565582205000,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:30:12",
"content": "not 3*1",
"attachments": [],
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},
{
"id": 1037448602370449500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:30:21",
"content": "Ok so",
"attachments": [],
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},
{
"id": 1037448617386057700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:30:25",
"content": "3j^2",
"attachments": [],
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},
{
"id": 1037448669315739600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:30:37",
"content": "L = 4i + 3j^2",
"attachments": [],
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},
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"id": 1037448710080180400,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:30:47",
"content": "yes!!",
"attachments": [],
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},
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"id": 1037448723350950000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:30:50",
"content": "lets go",
"attachments": [],
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},
{
"id": 1037448738534338600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:30:54",
"content": "Nah lets not go",
"attachments": [],
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},
{
"id": 1037448754883739600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:30:58",
"content": "I should be very disappointed",
"attachments": [],
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},
{
"id": 1037448776727662700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:31:03",
"content": "it took me this long, to solve one question",
"attachments": [],
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},
{
"id": 1037448836051906700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:31:17",
"content": "I realy appreciate your patience to take this long to explain it to me",
"attachments": [],
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"reference": null
},
{
"id": 1037448889642537000,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:31:30",
"content": "Did you learn something solving this?",
"attachments": [],
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},
{
"id": 1037448908466552800,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:31:34",
"content": "Yeah",
"attachments": [],
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},
{
"id": 1037448928171405300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:31:39",
"content": "So the working",
"attachments": [],
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},
{
"id": 1037448947523915800,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:31:43",
"content": "Im going to try and write it out",
"attachments": [],
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},
{
"id": 1037448956852048000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:31:46",
"content": "then post it",
"attachments": [],
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},
{
"id": 1037449005011042400,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:31:57",
"content": "then you shouldn't be disappointed",
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},
{
"id": 1037449039723122800,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:32:05",
"content": "Thank you",
"attachments": [],
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},
{
"id": 1037449060933705700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:32:10",
"content": "I'm going to try and type out the working",
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},
{
"id": 1037449160519061600,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:32:34",
"content": "you're welcome.",
"attachments": [],
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},
{
"id": 1037449598865772700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:34:19",
"content": "L * 3ij^2 = 12i^2j^2 + 9ij^4",
"attachments": [],
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},
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"id": 1037449703748534400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:34:44",
"content": "wait before i continue if we want to now state the formula with the actual numbers would it be",
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{
"id": 1037449800695697500,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:35:07",
"content": "A = L X B\nA = 4i + 3j^2 * 3ij²",
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},
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"id": 1037450048985907200,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:36:06",
"content": "this has 4i + 3j^2 to be in ().",
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},
{
"id": 1037450150236409900,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:36:30",
"content": "like (4i + 3j^2)* 3ij² otherwise it's not the same.",
"attachments": [],
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},
{
"id": 1037450220868468700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:36:47",
"content": "i need to learn the start of this before i can continue because this is too complex",
"attachments": [],
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},
{
"id": 1037450263381942300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:36:57",
"content": "im not going to be able to follow my job",
"attachments": [],
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},
{
"id": 1037450804149370900,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:39:06",
"content": "the rule is if there are no paranthesis then you always multiply before you add. In this case when A = L X B and L = a+b and B = c then A = L X B = (a+b) X c = a X c + b X c.",
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{
"id": 1037451010588811300,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 15:39:55",
"content": "with numbers: 2 + 3 x 4 = 2 + 12 = 14 but (2+3) x 4 = 5 x 4 = 20",
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{
"id": 1037451353099862100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:41:17",
"content": "Yeah i get it with numbers",
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},
{
"id": 1037451409714585600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:41:30",
"content": "My working though:",
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},
{
"id": 1037451686932914300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:42:37",
"content": "$L * 3ij^2 = 12i^2j^2 + 9ij^4\n12i^2j^2 ÷ 3ij^2 + 9ij^4 = L$",
"attachments": [],
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},
{
"id": 1037451957478113400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:43:41",
"content": "$L * 3ij^2 = 12i^2j^2 + 9ij^4\nL = 12i^2j^2 ÷ 3ij^2 + 9ij^4$",
"attachments": [],
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"reference": null
},
{
"id": 1037451967380869200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 15:43:43",
"content": "**Naashe**",
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"author_name": "djuji",
"timestamp": "11/02/2022 15:45:41",
"content": "should be $L * 3ij^2 = 12i^2j^2 + 9ij^4$;\n$L = ( 12i^2j^2 + 9ij^4) ÷ 3ij^2 $",
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{
"id": 1037452689581281300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:46:36",
"content": "brb Ok",
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"id": 1037452896087855100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "11/02/2022 15:47:25",
"content": "**djuji**",
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{
"id": 1037455223750406100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:56:40",
"content": "Hi im back",
"attachments": [],
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},
{
"id": 1037455235637067900,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:56:43",
"content": "My working is",
"attachments": [],
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},
{
"id": 1037455601342632100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 15:58:10",
"content": "$A = L x B\n12i²j² + 9ij^4 = L x 3ij²\n3ij² (4i + 3j²) = 3ij² x L\nL = 4i + 3j²$",
"attachments": [],
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},
{
"id": 1037456533686067200,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:01:52",
"content": "i bet its wrong",
"attachments": [],
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},
{
"id": 1037457198449696900,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 16:04:31",
"content": "no it's fine.",
"attachments": [],
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},
{
"id": 1037457466927091700,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:05:35",
"content": "but there are some additonal things?",
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},
{
"id": 1037457531179651100,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 16:05:50",
"content": "no i just misread something. 🙂",
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},
{
"id": 1037457559654776800,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:05:57",
"content": "so its perfect? 🙂",
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},
{
"id": 1037457807139688400,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 16:06:56",
"content": "you can't write it down any shorter, it shows what you did clearly. good job.",
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},
{
"id": 1037457857534251100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:07:08",
"content": "ty",
"attachments": [],
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},
{
"id": 1037457873703280600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:07:12",
"content": "i am very happy i llearn it",
"attachments": [],
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},
{
"id": 1037457940086534300,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 16:07:27",
"content": "you're welcome. 🙂",
"attachments": [],
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},
{
"id": 1037458040644976800,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:07:51",
"content": "I sincerely pose immense gratitude for your assistance. Keep doing what you're doing.",
"attachments": [],
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},
{
"id": 1037458255456256100,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 16:08:43",
"content": "really man, it's fine.",
"attachments": [],
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},
{
"id": 1037458308828766200,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:08:55",
"content": "Thanks. See you soon 👋",
"attachments": [],
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},
{
"id": 1037458403909435500,
"author_id": 809180092365930500,
"author_name": "djuji",
"timestamp": "11/02/2022 16:09:18",
"content": "bye",
"attachments": [],
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},
{
"id": 1037460286581506000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:16:47",
"content": "So sorry",
"attachments": [],
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"reference": null
},
{
"id": 1037460332890816600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:16:58",
"content": "im needing someone to proof read this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037460441149997300,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:17:24",
"content": "If am to evaluate the following",
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"id": 1037460460125036500,
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"author_name": "Naashe",
"timestamp": "11/02/2022 16:17:28",
"content": "Would it be, evaluated,",
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},
{
"id": 1037460601137549400,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:18:02",
"content": "(-9 + (-2))² - (- 5)³",
"attachments": [],
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},
{
"id": 1037461645095600100,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 16:22:11",
"content": "= 246",
"attachments": [],
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},
{
"id": 1037465421978284000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 16:37:11",
"content": "@Naashe Has your question been resolved?",
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"id": 1037469199087456300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 16:52:12",
"content": "Channel closed",
"attachments": [],
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] | help-9 | bca3cf4e74524d43ae5121756a44ff05 |
201,338 | [
{
"id": 1037469450779250700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 16:53:12",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1037470038212493400,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 16:55:32",
"content": "#26",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1037470038006968330/IMG_0099.jpg",
"fileName": "IMG_0099.jpg",
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}
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{
"id": 1037470040787800000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 16:55:32",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1037470038212493400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1037470126095737000,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 16:55:53",
"content": "I need help with the whole question if possible",
"attachments": [],
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},
{
"id": 1037473127673889000,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:07:48",
"content": "ok for 25",
"attachments": [],
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},
{
"id": 1037473201158107100,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:08:06",
"content": "I already did 25 Lol",
"attachments": [],
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},
{
"id": 1037473228806959200,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:08:13",
"content": "oh lmao",
"attachments": [],
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},
{
"id": 1037473236008575100,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:08:14",
"content": "my bad",
"attachments": [],
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"reference": null
},
{
"id": 1037473271957946500,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:08:23",
"content": "Np",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037473348231385200,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:08:41",
"content": "I tried to crop it out but the diagram would get cropped out too",
"attachments": [],
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},
{
"id": 1037473467920023700,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:09:10",
"content": "ok so",
"attachments": [],
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},
{
"id": 1037473513709244500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:09:20",
"content": "u know AE is parallel to BC",
"attachments": [],
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},
{
"id": 1037473541169369200,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:09:27",
"content": "so u can say",
"attachments": [],
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},
{
"id": 1037473614959755300,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:09:45",
"content": "DAE is equal to ABC",
"attachments": [],
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},
{
"id": 1037473630134739100,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:09:48",
"content": "angles*",
"attachments": [],
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},
{
"id": 1037473732354134100,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:10:13",
"content": "Do you know what the reason would be?",
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},
{
"id": 1037473744614064300,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:10:16",
"content": "Like the theorem",
"attachments": [],
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},
{
"id": 1037473774024540200,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:10:23",
"content": "ok i think it is",
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},
{
"id": 1037473819146858500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:10:33",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 1037474063171461400,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:11:31",
"content": "corresponding interior angles",
"attachments": [],
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"reference": null
},
{
"id": 1037474078363242500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:11:35",
"content": "is the name",
"attachments": [],
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},
{
"id": 1037474129923805300,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:11:47",
"content": "for DAE = ABC",
"attachments": [],
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},
{
"id": 1037474229236535400,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:12:11",
"content": "Thx",
"attachments": [],
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},
{
"id": 1037474251294392600,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:12:16",
"content": "now ABC = BCA as its an isosceles triangle",
"attachments": [],
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},
{
"id": 1037474338946940900,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:12:37",
"content": "so u can say angle 3 = angle 2",
"attachments": [],
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},
{
"id": 1037474412204675100,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:12:55",
"content": "alternate interior angles",
"attachments": [],
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},
{
"id": 1037474463341625500,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:13:07",
"content": "Alright",
"attachments": [],
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},
{
"id": 1037474542957899900,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:13:26",
"content": "so now if u line all the angles we equated",
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},
{
"id": 1037474553187815600,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:13:28",
"content": "we get",
"attachments": [],
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},
{
"id": 1037474616203022500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:13:43",
"content": "DAE =ABC = angle 2",
"attachments": [],
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"reference": null
},
{
"id": 1037474699308966000,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:14:03",
"content": "hence DAE is also equal to angle 3",
"attachments": [],
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"reference": null
},
{
"id": 1037474788316295200,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:14:24",
"content": "Ya",
"attachments": [],
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"reference": null
},
{
"id": 1037474933531476100,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:14:59",
"content": "We use transitive?",
"attachments": [],
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},
{
"id": 1037474968943997000,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:07",
"content": "what is a transitive",
"attachments": [],
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"reference": null
},
{
"id": 1037474998820020400,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:15",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475015102308500,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:18",
"content": "So like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475027391623200,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:21",
"content": "A=b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475037868994600,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:24",
"content": "B=c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475056009355400,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:28",
"content": "oh yh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475066163761300,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:31",
"content": "Thus a=c",
"attachments": [],
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"reference": null
},
{
"id": 1037475074523025500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:33",
"content": "so a = c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475084060864600,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:35",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475110791172200,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:41",
"content": "mathematical reasoninf",
"attachments": [],
"mentions": [],
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},
{
"id": 1037475126930845800,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:45",
"content": "Ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475132639293600,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:46",
"content": "as we call it in uk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475154323853400,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:52",
"content": "yup",
"attachments": [],
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},
{
"id": 1037475165153534100,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:15:54",
"content": "Oh u from the uk?",
"attachments": [],
"mentions": [],
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},
{
"id": 1037475172678127700,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:56",
"content": "proved haha",
"attachments": [],
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},
{
"id": 1037475178604671000,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:15:57",
"content": "yes",
"attachments": [],
"mentions": [],
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},
{
"id": 1037475279167299600,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:16:21",
"content": "Wait how do we find AE bisects dac",
"attachments": [],
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},
{
"id": 1037475345240162300,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:16:37",
"content": "bisector has a property",
"attachments": [],
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"reference": null
},
{
"id": 1037475376189948000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 17:16:45",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475419143811200,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:16:55",
"content": "it divides the angle into two equal angles",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475479638257800,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:17:09",
"content": "Is it angle bisector theorem?",
"attachments": [],
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},
{
"id": 1037475493802422400,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:17:13",
"content": "I think",
"attachments": [],
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},
{
"id": 1037475508159512700,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:17:16",
"content": "so DAC is divided into 2 equal angles",
"attachments": [],
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"reference": null
},
{
"id": 1037475544096325600,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 17:17:25",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037475544645783700,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:17:25",
"content": "it can be called a theorem",
"attachments": [],
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},
{
"id": 1037475588916646000,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:17:35",
"content": "but its more of an understanding",
"attachments": [],
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},
{
"id": 1037475617043644500,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:17:42",
"content": "?",
"attachments": [],
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{
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"discriminator": "9231",
"nickname": "Naashe",
"isBot": false
}
],
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},
{
"id": 1037475663843688600,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:17:53",
"content": "but id say write it down on the test",
"attachments": [],
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},
{
"id": 1037475669631828000,
"author_id": 831548641495220200,
"author_name": "Naashe",
"timestamp": "11/02/2022 17:17:55",
"content": "Trying to reopen my thing think the bot made a mistake",
"attachments": [],
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},
{
"id": 1037475940407722000,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:18:59",
"content": "Are the proofs similar to the uk",
"attachments": [],
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},
{
"id": 1037476066266185700,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:19:29",
"content": "wdym similar to",
"attachments": [],
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},
{
"id": 1037476120834097300,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:19:42",
"content": "do u mean is it similar to the ones we do i the uk",
"attachments": [],
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},
{
"id": 1037476124206301300,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:19:43",
"content": "Cuz someone else from the uk told me they did a diff way to solve proofs",
"attachments": [],
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},
{
"id": 1037476138840228000,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:19:46",
"content": "Yea",
"attachments": [],
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},
{
"id": 1037476154145251500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:19:50",
"content": "well",
"attachments": [],
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},
{
"id": 1037476175674605700,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:19:55",
"content": "it differs aa bit",
"attachments": [],
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},
{
"id": 1037476211200372900,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:20:04",
"content": "but i did my proofs this wy",
"attachments": [],
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},
{
"id": 1037476239553867900,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:20:10",
"content": "and i still got the marks",
"attachments": [],
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},
{
"id": 1037476273955553300,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:20:19",
"content": "so i see no problem",
"attachments": [],
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},
{
"id": 1037476294285344800,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:20:23",
"content": "Ok let me get this straight",
"attachments": [],
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},
{
"id": 1037476306989887500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:20:26",
"content": "yh",
"attachments": [],
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"reference": null
},
{
"id": 1037476323393818600,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:20:30",
"content": "Ae parallel Bc",
"attachments": [],
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"reference": null
},
{
"id": 1037476341890691200,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:20:35",
"content": "Thats a given",
"attachments": [],
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"reference": null
},
{
"id": 1037476436539347100,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:20:57",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037476547638071400,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:21:24",
"content": "DAE=ABC",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037476585575551100,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:21:33",
"content": "Corresponding angles",
"attachments": [],
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},
{
"id": 1037476612393930800,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:21:39",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1037476653154193400,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:21:49",
"content": "correspondin interior angles",
"attachments": [],
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},
{
"id": 1037476821035384800,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:22:29",
"content": "ABC=BCA since its isisceles",
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"content": "amazing",
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:23:05",
"content": "Then <3 = <2 bc alt interior angles",
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"id": 1037476991126995000,
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"timestamp": "11/02/2022 17:23:10",
"content": "yes",
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"timestamp": "11/02/2022 17:23:24",
"content": "now u do transitive",
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"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:23:32",
"content": "to say 1 = 2",
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:23:54",
"content": "But why",
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:24:00",
"content": "We didnt figure out <1 yet",
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"author_name": "him",
"timestamp": "11/02/2022 17:24:18",
"content": "so u can conclude that AE is a bisector as it divides DAC into 2 equal angles",
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"timestamp": "11/02/2022 17:24:44",
"content": "DAE is 1",
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"timestamp": "11/02/2022 17:24:53",
"content": "Ohhh",
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"id": 1037477446330613800,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:24:58",
"content": "see",
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"id": 1037477456094965800,
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"timestamp": "11/02/2022 17:25:00",
"content": "easy",
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:25:10",
"content": "Dam",
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"id": 1037477500378423400,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:25:11",
"content": "it all makes sense now?",
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"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:25:17",
"content": "Yep",
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"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:25:23",
"content": "Thanks a lot",
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"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:25:33",
"content": "no problem : )",
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"id": 1037477644385648600,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:25:45",
"content": "Have a good rest of your day",
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},
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"id": 1037477652812005500,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:25:47",
"content": "wat grade r u",
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"id": 1037477668490334200,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:25:51",
"content": "you too",
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"id": 1037477669048172700,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:25:51",
"content": "9th",
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"id": 1037477690468483100,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:25:56",
"content": "india?",
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"id": 1037477744499503200,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:26:09",
"content": "Nope but im bengali",
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"id": 1037477766108561400,
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"author_name": "him",
"timestamp": "11/02/2022 17:26:14",
"content": "ohhh",
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"id": 1037477788359336000,
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"author_name": "him",
"timestamp": "11/02/2022 17:26:20",
"content": "bangladeshi",
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"id": 1037477804742283300,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:26:24",
"content": "My parents from bangladesh",
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"id": 1037477811788709900,
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:26:25",
"content": "Yea",
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"id": 1037477818700923000,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:26:27",
"content": "cooold",
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"id": 1037477880617250800,
"author_id": 778813864413757400,
"author_name": "him",
"timestamp": "11/02/2022 17:26:42",
"content": "we have a large bengali populatin in uk",
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"id": 1037477940167979100,
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"timestamp": "11/02/2022 17:26:56",
"content": "and i did indian maths for 14 yrs",
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"id": 1037477945691869300,
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:26:57",
"content": "Where I live theres a lot too",
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"id": 1037477973995028500,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:27:04",
"content": "Was it hard",
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"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:27:11",
"content": "Compared to UK?",
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{
"id": 1037478015317332000,
"author_id": 836283432009990100,
"author_name": "dimedon",
"timestamp": "11/02/2022 17:27:14",
"content": "Or was it the same",
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"id": 1037478101866795000,
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"timestamp": "11/02/2022 17:27:34",
"content": "uk is easier",
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"timestamp": "11/02/2022 17:27:40",
"content": "india is harder",
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"id": 1037478154144596000,
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"author_name": "dimedon",
"timestamp": "11/02/2022 17:27:47",
"content": "Oh",
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"timestamp": "11/02/2022 17:42:47",
"content": "@dimedon Has your question been resolved?",
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"timestamp": "11/02/2022 17:43:01",
"content": "Channel closed",
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}
] | help-9 | 66f21c909bd6497d8fee39f6699737fd |
201,339 | [
{
"id": 1037482238679457900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 17:44:01",
"content": "Available help channel!",
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},
{
"id": 1037482702565277700,
"author_id": 699432449788084400,
"author_name": "trevnenant",
"timestamp": "11/02/2022 17:45:51",
"content": "when graphing a system of inequalities if it's y ≤ 3x - 2",
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"timestamp": "11/02/2022 17:45:52",
"content": "Pinned a message.",
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"author_name": "trevnenant",
"timestamp": "11/02/2022 17:46:04",
"content": "would you rise 3 and run 3 ?",
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"id": 1037482801601204400,
"author_id": 699432449788084400,
"author_name": "trevnenant",
"timestamp": "11/02/2022 17:46:15",
"content": "or would it be rise 3 run 1?",
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"id": 1037483046175260800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "11/02/2022 17:47:13",
"content": "uh second",
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"timestamp": "11/02/2022 17:48:15",
"content": "ok ty!",
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"timestamp": "11/02/2022 17:50:04",
"content": ".close",
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"timestamp": "11/02/2022 17:50:05",
"content": "Channel closed",
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] | help-9 | eee59f3cf0124d5fbb3bd39a22eb8f3c |
201,340 | [
{
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"timestamp": "10/22/2022 00:54:49",
"content": "Available help channel!",
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{
"id": 1033250299013500900,
"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:27:48",
"content": "I need help with a small doubt",
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"content": "Pinned a message.",
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"timestamp": "10/22/2022 01:28:36",
"content": "Ask, if I can help I'll",
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"id": 1033250513229205500,
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"author_name": "BasuDev",
"timestamp": "10/22/2022 01:28:39",
"content": "Help",
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},
{
"id": 1033250705928097800,
"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:29:25",
"content": "",
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"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:30:14",
"content": "I have doubt with how they have taken t2 sin37°",
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"id": 1033250945158627300,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/22/2022 01:30:22",
"content": "This is physics problem right??",
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"id": 1033250993875468400,
"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:30:33",
"content": "It's just angles",
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"id": 1033251097877422200,
"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:30:58",
"content": "My math teacher gave me this for vector",
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"id": 1033251120371474600,
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"timestamp": "10/22/2022 01:31:03",
"content": "Ok",
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"id": 1033251362361835600,
"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:32:01",
"content": "So my doubt is that t2 makes angle 180+37 degree at point b relative to x axis",
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"id": 1033251938072019100,
"author_id": 831493327974301700,
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"timestamp": "10/22/2022 01:34:18",
"content": "Nvm",
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"id": 1033252189700902900,
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"timestamp": "10/22/2022 01:35:18",
"content": "Lol",
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"id": 1033252205865746600,
"author_id": 831493327974301700,
"author_name": "HillBill",
"timestamp": "10/22/2022 01:35:22",
"content": "I'm stupid",
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"id": 1033252243803222000,
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"timestamp": "10/22/2022 01:35:31",
"content": ".close",
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},
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"id": 1033252247003463700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/22/2022 01:35:32",
"content": "Channel closed",
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}
] | help-9 | 37ce1abc67284b3c836795e5538ac829 |
201,341 | [
{
"id": 1037485232980512900,
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"timestamp": "11/02/2022 17:55:55",
"content": "Available help channel!",
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{
"id": 1037485785735241700,
"author_id": 467740386832416800,
"author_name": "mash",
"timestamp": "11/02/2022 17:58:06",
"content": "hi.",
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"id": 1037485788495089800,
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"author_name": "Mathematics Bot",
"timestamp": "11/02/2022 17:58:07",
"content": "Pinned a message.",
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"id": 1037485851514523600,
"author_id": 467740386832416800,
"author_name": "mash",
"timestamp": "11/02/2022 17:58:22",
"content": "why does amodb if a<b have remainder a?",
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{
"id": 1037485937090904000,
"author_id": 467740386832416800,
"author_name": "mash",
"timestamp": "11/02/2022 17:58:42",
"content": "3mod12",
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"id": 1037485947148845200,
"author_id": 467740386832416800,
"author_name": "mash",
"timestamp": "11/02/2022 17:58:45",
"content": "is 3",
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},
{
"id": 1037485966245507200,
"author_id": 467740386832416800,
"author_name": "mash",
"timestamp": "11/02/2022 17:58:49",
"content": "but surely the remainder is 9",
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"id": 1037485983865774100,
"author_id": 467740386832416800,
"author_name": "mash",
"timestamp": "11/02/2022 17:58:54",
"content": "since you need 9 more to make 12",
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"id": 1037486179714601000,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "11/02/2022 17:59:40",
"content": "3 divided by 12 = 0 r. 3",
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"author_name": "mash",
"timestamp": "11/02/2022 18:00:06",
"content": "why zero tho",
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"id": 1037486469029306400,
"author_id": 467740386832416800,
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"timestamp": "11/02/2022 18:00:49",
"content": "oh",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "11/02/2022 18:00:55",
"content": "do you know the definition of remainder?",
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"author_name": "mash",
"timestamp": "11/02/2022 18:00:59",
"content": "is it because a = mb + c",
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"timestamp": "11/02/2022 18:01:03",
"content": "so m is zero here",
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"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "11/02/2022 18:02:05",
"content": "how many 12s go into 3?",
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"timestamp": "11/02/2022 18:02:19",
"content": "0, and then there's a remainder of 3",
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"timestamp": "11/02/2022 18:02:21",
"content": "yea",
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"id": 1037486864489254900,
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"timestamp": "11/02/2022 18:02:24",
"content": "tyty",
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"author_name": "mash",
"timestamp": "11/02/2022 18:02:26",
"content": ".close",
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] | help-9 | ab3d2b0f4e48408fa41b4059e2c2ddd6 |
201,342 | [
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"content": "Available help channel!",
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"id": 1037494861055656000,
"author_id": 463009283249012740,
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"timestamp": "11/02/2022 18:34:10",
"content": "Need help",
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"id": 1037495047479898200,
"author_id": 463009283249012740,
"author_name": "Locker",
"timestamp": "11/02/2022 18:34:55",
"content": "I don’t unserstand how to find y but I found x tho",
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"id": 1037495881471107100,
"author_id": 1022574341680021500,
"author_name": "Larry the Cucumber",
"timestamp": "11/02/2022 18:38:13",
"content": "at intersection points two functions have the same y-value",
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"timestamp": "11/02/2022 18:38:31",
"content": "so you just have to plug in the x value for f(x) or g(x)",
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"timestamp": "11/02/2022 18:40:24",
"content": "So is the constant term the Y",
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"content": "@Locker Has your question been resolved?",
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] | help-9 | 903b8c45c479478697ca5a3e6abea174 |
201,343 | [
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"content": "Available help channel!",
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"id": 1037505641364869200,
"author_id": 518272490082926600,
"author_name": "ChooChooAmar",
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"content": "Help",
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"content": "How do I do this step by step",
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"id": 1037506257482952800,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "11/02/2022 19:19:27",
"content": "my attempt would be complete the square",
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"id": 1037506447841435600,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "11/02/2022 19:20:13",
"content": "we can rewrite sin^2 as 1-cos^2",
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"timestamp": "11/02/2022 19:31:33",
"content": "Ok",
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"author_name": "ChooChooAmar",
"timestamp": "11/02/2022 19:32:02",
"content": ".close",
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"content": "Channel closed",
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] | help-9 | 4bc10cb98a2648389397fc5839eb7959 |
201,344 | [
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"content": "Available help channel!",
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"id": 1037510297432371200,
"author_id": 169911616672890880,
"author_name": "SleepY",
"timestamp": "11/02/2022 19:35:30",
"content": "for finding the derivitive. what is the process for this. I see that the 3 becomes the denominator along with the original function",
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"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "11/02/2022 19:37:32",
"content": "do you know how to use the chain rule? $(f(g(x))' = g'(x) \\cdot f'(g(x))$",
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"id": 1037510817807077500,
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"author_name": "TeXit",
"timestamp": "11/02/2022 19:37:34",
"content": "**MellowDramaLlama**",
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"timestamp": "11/02/2022 19:38:01",
"content": "i do",
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"id": 1037510966071525500,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "11/02/2022 19:38:10",
"content": "great! So this is just the chain rule 🙂",
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"id": 1037510968374206500,
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"author_name": "SleepY",
"timestamp": "11/02/2022 19:38:10",
"content": "im just thrown off by the 1/3",
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"author_name": "SleepY",
"timestamp": "11/02/2022 19:38:15",
"content": "and its possible im just being dumb",
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"timestamp": "11/02/2022 19:38:24",
"content": "you can always just \"pull out\" constants",
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"timestamp": "11/02/2022 19:38:40",
"content": "for example: $f(x) = 3x^2 = 3 \\cdot (x^2)' = 3 \\cdot (2x) = 6x$",
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"timestamp": "11/02/2022 19:38:53",
"content": "**MellowDramaLlama**",
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"author_name": "SleepY",
"timestamp": "11/02/2022 19:39:37",
"content": "still stuck on the 1/3",
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"id": 1037511354287923200,
"author_id": 169911616672890880,
"author_name": "SleepY",
"timestamp": "11/02/2022 19:39:42",
"content": "and what do do with it in the process",
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"id": 1037511508780929000,
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"author_name": "SleepY",
"timestamp": "11/02/2022 19:40:19",
"content": "i have it worked to 2x/x-5",
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"author_name": "MellowDramaLlama",
"timestamp": "11/02/2022 19:40:44",
"content": "ah I see. yeah see that's the derivative of ln(x^2 - 5). You just need to multiply that by 1/3",
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"id": 1037511725899067400,
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"author_name": "SleepY",
"timestamp": "11/02/2022 19:41:11",
"content": "so its 2x/3(x^2-5)?",
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"timestamp": "11/02/2022 19:42:42",
"content": "yep! 🙂",
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"id": 1037512285863821400,
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"author_name": "SleepY",
"timestamp": "11/02/2022 19:43:24",
"content": "thank youu",
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"id": 1037512441648664600,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "11/02/2022 19:44:02",
"content": "yep no worries!",
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"timestamp": "11/02/2022 19:58:25",
"content": "@SleepY Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | 2c166d8b18eb433aa9ed97a377ee865e |
201,345 | [
{
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"content": "Available help channel!",
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{
"id": 1037520128264376300,
"author_id": 785653871464153100,
"author_name": "Squidy",
"timestamp": "11/02/2022 20:14:34",
"content": "the coordinates of the two vertices of △RST are R(-3, 3) and S(1, -2). Determine the coordinates for T so its a right trinagle. Explain the process",
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"content": "@Squidy Has your question been resolved?",
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] | help-9 | b386e065962b4061aec72b921ae226c6 |
201,346 | [
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] | help-9 | 24b91f536e454ed282408840219d1505 |
201,347 | [
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{
"id": 1037532120840667100,
"author_id": 785653871464153100,
"author_name": "Squidy",
"timestamp": "11/02/2022 21:02:14",
"content": "the coordinates of the two vertices of △RST are R(-3, 3) and S(1, -2). Determine the coordinates for T so its a right trinagle. Explain the process",
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"id": 1037532284733104100,
"author_id": 785653871464153100,
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"content": "i can find the coordinates for it to be a right triangle but idk how to explain the process",
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"timestamp": "11/02/2022 21:17:53",
"content": "@Squidy Has your question been resolved?",
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"content": "Channel closed",
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] | help-9 | ced095a3c3f14275916ca2c4c7270279 |
201,348 | [
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"content": "Is this the right way on doing it",
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"timestamp": "11/02/2022 21:35:17",
"content": "Find x for both angles",
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"timestamp": "11/02/2022 21:35:50",
"content": "That is the triangle you were given like that?",
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"timestamp": "11/02/2022 21:36:10",
"content": "I mean diagram isnt accurate",
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"content": "Sum of angles of a triangle is 180",
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"timestamp": "11/02/2022 21:36:31",
"content": "Yea i got 65",
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"timestamp": "11/02/2022 21:36:46",
"content": "i think",
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"timestamp": "11/02/2022 21:36:48",
"content": "one sec",
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"timestamp": "11/02/2022 21:36:51",
"content": "wait nvm",
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"timestamp": "11/02/2022 21:36:52",
"content": "Its 65",
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"timestamp": "11/02/2022 21:36:59",
"content": "did my calculations wrong",
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"timestamp": "11/02/2022 21:37:03",
"content": "Its 65",
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"timestamp": "11/02/2022 21:37:13",
"content": "130/2 65",
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"author_name": "Deol",
"timestamp": "11/02/2022 21:37:22",
"content": "It’s 45 I think?",
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"timestamp": "11/02/2022 21:37:42",
"content": "thats what i got",
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"timestamp": "11/02/2022 21:37:45",
"content": "but idk",
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"timestamp": "11/02/2022 21:37:46",
"content": "180-50=130\n130/2=65",
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"timestamp": "11/02/2022 21:37:54",
"content": "X is 65",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:37:55",
"content": "Then",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:38:01",
"content": "Idk what to do after that",
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"timestamp": "11/02/2022 21:38:11",
"content": "ya its x. = 45",
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"timestamp": "11/02/2022 21:38:18",
"content": "i was just confused but ya",
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"timestamp": "11/02/2022 21:38:41",
"content": "so \n50 + (x + 18) + (x + 22) = 180",
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"timestamp": "11/02/2022 21:38:46",
"content": "now if we solve",
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"content": "90 + 2x = 180 @LegendAri",
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"content": "2x = 90\n\nx = 45",
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"timestamp": "11/02/2022 21:39:40",
"content": "a triangle angles total to 180 always",
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"timestamp": "11/02/2022 21:40:27",
"content": "Gotta teach me bucko",
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"timestamp": "11/02/2022 21:40:35",
"content": "huh?",
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"timestamp": "11/02/2022 21:41:01",
"content": "who uses 'bucko' lol such an abstract word",
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"timestamp": "11/02/2022 21:41:06",
"content": "Me",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:41:09",
"content": "Now teach",
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"timestamp": "11/02/2022 21:41:54",
"content": ".",
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"author_name": "bobkinder993",
"timestamp": "11/02/2022 21:42:11",
"content": "just read my messages above, and tell me what you dont understand",
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"timestamp": "11/02/2022 21:43:45",
"content": "Uh",
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"timestamp": "11/02/2022 21:43:48",
"content": "Yea",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:43:49",
"content": "Idk",
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"timestamp": "11/02/2022 21:43:50",
"content": "Man",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:44:04",
"content": "U just gave me the andwer without teaching me step by step",
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"timestamp": "11/02/2022 21:44:22",
"content": "bro... ok fine give me a second ill pull up on my whiteboard",
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"timestamp": "11/02/2022 21:44:34",
"content": "Mf thats your whole job💀",
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"timestamp": "11/02/2022 21:44:53",
"content": "You cant just give your student the equation without teaching",
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"timestamp": "11/02/2022 21:45:20",
"content": "Don't do the work for people",
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"timestamp": "11/02/2022 21:45:26",
"content": "Exactly",
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"timestamp": "11/02/2022 21:46:02",
"content": "Do you understand that the sum of interior angles in a triangle equals 180?",
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"timestamp": "11/02/2022 21:46:09",
"content": "Yea",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:46:39",
"content": "I wanna know what the use of x+18 and x+22",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:46:44",
"content": "In the triangle",
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"author_name": "bobkinder993",
"timestamp": "11/02/2022 21:46:49",
"content": "i was assuming the person needing the help knew basic algebra. Sorry for my wrong assumption. My explanation is self-explanatory",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:46:54",
"content": "And how that affects the answer",
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"author_name": "dldh06",
"timestamp": "11/02/2022 21:47:18",
"content": "You're trying to find the value of x so that way you can find the value of those angles",
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"timestamp": "11/02/2022 21:47:21",
"content": "x value is the same for both",
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"timestamp": "11/02/2022 21:47:25",
"content": "ill leave now",
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"author_name": "bobkinder993",
"timestamp": "11/02/2022 21:47:27",
"content": "peace",
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"author_id": 773948179674300400,
"author_name": "bobkinder993",
"timestamp": "11/02/2022 21:47:30",
"content": "🕊️",
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"author_name": "LegendAri",
"timestamp": "11/02/2022 21:47:33",
"content": "Well damn",
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"timestamp": "11/02/2022 21:48:21",
"content": "Sir can you help",
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"timestamp": "11/02/2022 21:49:05",
"content": "I answered your question",
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"timestamp": "11/02/2022 21:49:36",
"content": "my explantion was better just saying 🙌",
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"timestamp": "11/02/2022 21:49:42",
"content": ".",
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"timestamp": "11/02/2022 21:50:09",
"content": "Your explanation was giving out and do the work for people",
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"timestamp": "11/02/2022 21:50:34",
"content": "> I wanna know what the use of x+18 and x+22\n> In the triangle\nAnd this was what the OP was asking",
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"timestamp": "11/02/2022 21:51:00",
"content": "that was after what i said",
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"timestamp": "11/02/2022 21:51:11",
"content": "no point in arguing anymore",
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"timestamp": "11/02/2022 21:51:16",
"content": "¯\\_(ツ)_/¯",
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"author_name": "dldh06",
"timestamp": "11/02/2022 21:51:18",
"content": "Then bye",
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"timestamp": "11/02/2022 21:51:25",
"content": "have a day",
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"timestamp": "11/02/2022 22:02:26",
"content": "@LegendAri hope this helps. My last try",
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"timestamp": "11/02/2022 22:07:28",
"content": "@LegendAri Has your question been resolved?",
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"content": "no",
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"content": "can you tell me if i did this one wrong too",
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"content": "yesss good work. So now that we have x we need to substitute it into x + 18 which will give you that angle. \nThen substitute x value onto x + 22 which will give you the angle of that spot",
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"content": "120 + (x + 13) + (x + 7) = 180",
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"content": "do the algebra again",
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"content": "X=15",
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"content": "howd you get 15",
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"content": "Substitute x",
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"content": "i was wondering what you got as the x value\n\nsubstitution is the last step",
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"timestamp": "11/02/2022 22:22:29",
"content": "Channel closed",
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] | help-9 | 35ea50350d7949f1a179404b10ae4ea2 |
201,349 | [
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"content": "Hi how can I calculate the distance of the red lines - left and top? I need this for cropping an image that's 100x100 and only leave the centered icon.",
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"content": "find area",
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"content": "of center square",
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"content": "subtract that",
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"content": "from this",
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"content": "and then divide",
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"content": "I've tried that but it shifts the image 1 pixel too far to the right",
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"content": "wait",
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"author_name": "Miztyy",
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"content": "are u trying to acvtully crop the image out",
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"content": "ohhh",
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"content": "thats a tech problem",
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"content": "I'm doing it through javascript I just need the math in place",
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"timestamp": "11/02/2022 22:46:37",
"content": "i cant help u there",
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"content": "sorry",
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"author_name": "Mikkel",
"timestamp": "11/02/2022 22:48:52",
"content": "The height of the picture (27) is uneven and the total height (100) is even, so the picture can't be truly centered",
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"timestamp": "11/02/2022 22:49:31",
"content": "The height is either 36 or 37 pixels tall",
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"content": "(100 - 27)/2 = 36.5, rounding this up and down gives 36 and 37",
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"content": "Hmm I'll try that out thanks",
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"content": "Channel closed",
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] | help-9 | 6282495fa42b4f268c4cc3b949b53ccc |
201,350 | [
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"timestamp": "11/02/2022 22:54:54",
"content": "why $\\int^{pi/4}_ {0} tan(x)dx = ln(2)/2$?",
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"timestamp": "11/02/2022 22:54:56",
"content": "**Max.cc**",
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"timestamp": "11/02/2022 22:55:31",
"content": "i found -ln(sqrt(2)/2)",
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"content": "i don't get it",
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"content": "the integration of tan(x) is -ln(|cos(x)|)",
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"timestamp": "11/02/2022 22:58:53",
"content": "sqrt(2)/2 is 2^(-1/2)",
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"id": 1037561662619783300,
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"timestamp": "11/02/2022 22:59:37",
"content": "it's 2^(1/2) / 2 ?",
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"timestamp": "11/02/2022 22:59:43",
"content": "Yes",
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"timestamp": "11/02/2022 23:04:08",
"content": "ok i got it thx",
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"id": 1037562810835665000,
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"timestamp": "11/02/2022 23:04:11",
"content": ".close",
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"timestamp": "11/02/2022 23:04:12",
"content": "Channel closed",
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] | help-9 | a23ff2b9a0f8418bbde0abbe605332d8 |
201,351 | [
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"content": "Pinned a message.",
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"content": "anyone who solves it please ping me",
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] | help-9 | 97b26f3442524a5aac87e260dfade29b |
201,352 | [
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"author_id": 546173081098649600,
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"timestamp": "11/02/2022 23:09:01",
"content": "how can i seperate cos(3pix)",
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"content": "$\\cos \\left(3\\pi x\\right)$",
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"timestamp": "11/02/2022 23:09:14",
"content": "**Caleb.**",
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"content": "more specifically im trying to solve this",
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"content": "$\\cos \\left(3\\pi \\:x\\right)=\\frac{1}{2}\\log _7\\left(x\\right)$",
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"content": "**Caleb.**",
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"content": "@Caleb. Has your question been resolved?",
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] | help-9 | 0ece209765f54e54874e845106d0c49c |
201,353 | [
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"content": "Did I do this right?",
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"timestamp": "11/03/2022 00:06:53",
"content": "But wouldn’t there be more than one x?",
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] | help-9 | 5faf5372776647b3a4e08315558e925e |
201,354 | [
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"timestamp": "11/03/2022 00:22:48",
"content": "what did i do wrong?",
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"timestamp": "11/03/2022 00:23:25",
"content": "that says y = log base 3 of ((e^x + 2)/3)",
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"content": "you haven't made any mistake!",
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"timestamp": "11/03/2022 00:26:05",
"content": "i dont see my answer",
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"timestamp": "11/03/2022 00:26:15",
"content": "oh",
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"timestamp": "11/03/2022 00:26:17",
"content": "wait",
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"timestamp": "11/03/2022 00:26:21",
"content": "$\\ln(-3 \\cdot 3^x -2)=\\ln(-3^{x+1}-2)$",
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"timestamp": "11/03/2022 00:26:23",
"content": "is it the x+1 one",
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"timestamp": "11/03/2022 00:26:23",
"content": "**QuantumBee**",
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"content": "oh",
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"timestamp": "11/03/2022 00:26:29",
"content": "Yeah",
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"content": "i didnt even consider that because of the +1",
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"content": "ok thx",
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] | help-9 | 7804d281630342f1b315f2f4e305e75c |
201,355 | [
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"author_name": "fita",
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"content": "i only know how to identify some of the given",
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"timestamp": "11/03/2022 00:36:20",
"content": "but im stuck onwards",
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"author_name": "Benjamin",
"timestamp": "11/03/2022 00:38:11",
"content": "care to explain a bit more what you found?",
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"timestamp": "11/03/2022 00:38:18",
"content": "or what you tried",
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"timestamp": "11/03/2022 00:42:48",
"content": "3. we are given a rate of 30.0 m/s and an acceleration og 7.0 m/s squared. im not sure what are we looking for but i think its the final velocity?\n\n4. we are given an inital velocity of 25m/s and then a given height which is 15 high for another ball.\n\nim really bad at physics 😦",
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"timestamp": "11/03/2022 00:43:37",
"content": "i can identify the some of the given but i am stuck on what to do next to solve what we are looking for",
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"author_name": "Frenchmontana",
"timestamp": "11/03/2022 00:44:14",
"content": "I think u can apply these to 1 of the 4 kinematic equations",
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"content": "nvm mb idk💀💀💀",
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"content": "@fita https://discord.gg/physics try asking this question in the physics server, they'll definetly help u there",
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"content": "okay thanks so much!",
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"content": "@fita Has your question been resolved?",
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] | help-9 | cf3df6ed482240bb90e727360961497b |
201,356 | [
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"author_id": 862607295162220500,
"author_name": "bababeeboo",
"timestamp": "11/03/2022 01:34:15",
"content": "Why is (b) wrong?",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 01:34:46",
"content": "ik the correct answer is pi/3, but sin (pi/3) and sin (2pi/3) = the same thing",
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"timestamp": "11/03/2022 01:49:46",
"content": "@bababeeboo Has your question been resolved?",
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"timestamp": "11/03/2022 01:51:23",
"content": "That's true. There are lots of other values of x such that sin(x)=sqrt(3)/2 as well.",
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"timestamp": "11/03/2022 01:52:01",
"content": "But sin^-1 is only a useful concept if it's a well-defined function, so we have to choose just a single value for sin^-1(sqrt(3)/2)",
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"content": "By convention, the range of sin^-1 is [-pi/2, pi/2]",
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"timestamp": "11/03/2022 01:52:45",
"content": "In other words, quadrants 4 and 1",
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"timestamp": "11/03/2022 02:04:17",
"content": "i see, wdym by range exactly?",
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"timestamp": "11/03/2022 02:04:26",
"content": "like why is the range of arcsin only quadrants 1 and 4",
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"content": "does that mean the range of arccos is quadrants 2 and 4 ?",
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"timestamp": "11/03/2022 02:05:27",
"content": "I mean the output of arcsin is always an angle in quadrants 4 or 1",
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"content": "(between -pi/2 and pi/2)",
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"content": "This works because angles ranging from -pi/2 to pi/2 cover all possible sines (-1 to 1)",
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"timestamp": "11/03/2022 02:06:44",
"content": "-pi/2 is just 3pi/2 right",
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"timestamp": "11/03/2022 02:07:05",
"content": "\"Yes\"-ish",
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"content": "-pi/2 is coterminal to 3pi/2.",
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"timestamp": "11/03/2022 02:07:11",
"content": "or coterminal",
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"timestamp": "11/03/2022 02:07:12",
"content": "ig is the term",
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"timestamp": "11/03/2022 02:07:13",
"content": "oh ok",
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"timestamp": "11/03/2022 02:07:28",
"content": "Arccos has the range [0, pi]. Quadrants 1 and 2",
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"timestamp": "11/03/2022 02:07:38",
"content": "This covers all possible cosines",
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"timestamp": "11/03/2022 02:08:33",
"content": "so what would arccos 1/2 be for example? wouldnt it be undefined since there is no 1/2 on the unit circle",
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"timestamp": "11/03/2022 02:08:45",
"content": "just like arcsin 3 is undefined since there is no 3 on the unit circle",
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"timestamp": "11/03/2022 02:08:51",
"content": "theres pi/2 but no 1/2",
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"timestamp": "11/03/2022 02:09:04",
"content": "But there is. cos(pi/3) = 1/2",
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"timestamp": "11/03/2022 02:09:23",
"content": "So arccos(1/2) = pi/3",
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"timestamp": "11/03/2022 02:09:47",
"content": "lmao how did i not see that its literally on the unit circle 8 times hahahah mb 🤦♂️",
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"timestamp": "11/03/2022 02:09:52",
"content": "ok that makes sense",
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"timestamp": "11/03/2022 02:09:55",
"content": "Lol all good",
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"timestamp": "11/03/2022 02:10:10",
"content": "Keep in mind, it's not just what appears on your unit circle diagram",
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"timestamp": "11/03/2022 02:10:43",
"content": "arcsin(x) and arccos(x) are both defined for any x (input) between -1 and 1",
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"timestamp": "11/03/2022 02:10:59",
"content": "Just because it's not a point given to you on the unit circle diagram doesn't mean it doesn't exist",
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"timestamp": "11/03/2022 02:11:35",
"content": "would it be possible to find that point with only the use of the unit circle?",
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"timestamp": "11/03/2022 02:11:45",
"content": "Almost always, no",
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"timestamp": "11/03/2022 02:11:46",
"content": "i guess the answer is yes if its coterminal right",
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"timestamp": "11/03/2022 02:11:48",
"content": "oh ok",
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"timestamp": "11/03/2022 02:12:10",
"content": "cuz we arent allowed to use calculators so that why i was asking cuz i wasnt sure if thats smth i should expect",
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"timestamp": "11/03/2022 02:12:21",
"content": "i saw that you need to use calculus to do it otherwise somewhere online",
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"timestamp": "11/03/2022 02:12:24",
"content": "It's not really possible to find the exact value of arcsin(0.3), for example. But a calculator could estimate it for you",
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"timestamp": "11/03/2022 02:12:32",
"content": "makes sense",
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"timestamp": "11/03/2022 02:12:40",
"content": "but then arcsin 1.0000000000001",
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"timestamp": "11/03/2022 02:12:41",
"content": "Even with calculus, I'm not sure it's possible honestly",
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"timestamp": "11/03/2022 02:12:47",
"content": "isnt possible",
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"timestamp": "11/03/2022 02:12:52",
"content": "Yes, that's undefined",
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"timestamp": "11/03/2022 02:12:54",
"content": "i see",
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"timestamp": "11/03/2022 02:13:01",
"content": "No angle has a sine of 1.0000000001",
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"timestamp": "11/03/2022 02:13:06",
"content": "No angle has a sine greater than 1 at all",
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"timestamp": "11/03/2022 02:13:55",
"content": "i just drew this",
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"timestamp": "11/03/2022 02:14:24",
"content": "Looks good 👍",
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"timestamp": "11/03/2022 02:14:35",
"content": "Just in case it's helpful, arctan has the same range as arcsin",
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"timestamp": "11/03/2022 02:15:17",
"content": "to be completely honest im not still exactly sure why its only quadrants 1 and 4 for arcisn and 2 and 4 for arccos, like i know the range for arcsin is pi/2 to -pi/2 but thats the y-axis, which touches all 4 quadrants",
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"timestamp": "11/03/2022 02:15:33",
"content": "so like what rule makes it to where we decided to use the right half of the quadrants rather than the left half yk",
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"timestamp": "11/03/2022 02:17:00",
"content": "It's just that we want arcsin(x) to have a concrete definition, so we have to choose either the left or right. Either would have been fine. But just because the way history worked out, the mathematical community decided on the right. Probably because it contains 0",
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"timestamp": "11/03/2022 02:17:26",
"content": "But you're absolutely right, it is an arbitrary decision. We just had to pick one, and that's the one we picked",
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"timestamp": "11/03/2022 02:19:39",
"content": "Because it's slightly more convenient, I guess",
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"timestamp": "11/03/2022 02:19:55",
"content": "ahhhhhhh ok",
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"timestamp": "11/03/2022 02:19:57",
"content": "makes sense then",
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"timestamp": "11/03/2022 02:20:14",
"content": "i guess pi/6 is easier to write than 5pi/6 at the end of the day lol",
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"timestamp": "11/03/2022 02:20:37",
"content": "so arcsin = arctan for range (q. 1 & 4), and arccos is q. 1 & 2",
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"timestamp": "11/03/2022 02:20:42",
"content": "ill j have that memorised then",
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"timestamp": "11/03/2022 02:20:47",
"content": "Yep",
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"timestamp": "11/03/2022 02:21:07",
"content": "Specifically for quadrants 1 and 4 it's [-pi/2, pi/2]",
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"timestamp": "11/03/2022 02:21:16",
"content": "So like, you wouldn't say 11pi/6, you'd say -pi/6",
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"timestamp": "11/03/2022 02:22:24",
"content": "because -pi/6 is coterminal w 11pi/6 and still fits within the range",
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"timestamp": "11/03/2022 02:22:39",
"content": "im gonna try to run thru these rq",
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"timestamp": "11/03/2022 02:23:00",
"content": "(a) pi/4",
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"timestamp": "11/03/2022 02:23:08",
"content": "Yep",
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"content": "(b) 0",
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"timestamp": "11/03/2022 02:23:32",
"content": "(c) 3pi/4",
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"timestamp": "11/03/2022 02:23:52",
"content": "Yep 👍",
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"timestamp": "11/03/2022 02:24:22",
"content": "YAY",
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"timestamp": "11/03/2022 02:24:37",
"content": "🥳 🎉",
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"timestamp": "11/03/2022 02:28:43",
"content": "so all the rules ive learned from this unit so far is \n\ncsc = 1/sin\nsec = 1/cos\ncot = 1/tan\nx^2 + y^2 = 1\narcsin & arctan range = q.s 1 & 4, -pi/2 to pi/2\narcos range = q.s 1 & 2, -pi to pi (i think?)\nSOH,CAH,TOA\n\nf(x) = a*sin(b(x-c))+d\nperiod = 2pi/b, (pi/b for tan)\nphase shift = b/c\namplitude = a\nd = vert. shift",
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"timestamp": "11/03/2022 02:28:49",
"content": "the one thing i still kinda dont get is",
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"timestamp": "11/03/2022 02:28:54",
"content": "the 30-60-90 triangle where",
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"timestamp": "11/03/2022 02:28:58",
"content": "the hypotenuse is 2",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:29:07",
"content": "and one leg is sqrt3 and another is 1",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:29:28",
"content": "That's just to help you remember the sin/cos of 30 and 60 degrees",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:29:32",
"content": "Check your unit circle",
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"timestamp": "11/03/2022 02:31:48",
"content": "ahhh",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:31:53",
"content": "i think it helps w finding side lengths too",
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"timestamp": "11/03/2022 02:31:56",
"content": "like if h = 12",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:32:06",
"content": "Yeah it's just another way to look at it",
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"timestamp": "11/03/2022 02:32:14",
"content": "then ik the long leg is 6*sqrt(3)",
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"timestamp": "11/03/2022 02:32:16",
"content": "i see",
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"timestamp": "11/03/2022 02:32:17",
"content": "interesting",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:32:45",
"content": "i cant believe im saying this but for once i feel comfortable with trig",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:33:04",
"content": "watch that turn around the second i get handed my test tmrw lmfao",
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"timestamp": "11/03/2022 02:33:14",
"content": "Lol",
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"timestamp": "11/03/2022 02:33:23",
"content": "Nah it seems like you have a pretty good grasp on things",
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"timestamp": "11/03/2022 02:35:11",
"content": "oh wait last thing",
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"timestamp": "11/03/2022 02:35:11",
"content": "arctan",
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"timestamp": "11/03/2022 02:35:17",
"content": "so like arctan(-1)",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:36:07",
"content": "what exactly am i looking for? something in sin / cos = -1?",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:36:26",
"content": "Yes, what angle in the right two quadrants has a tan of -1?",
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"timestamp": "11/03/2022 02:37:27",
"content": "oh wait",
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"timestamp": "11/03/2022 02:37:45",
"content": "sqrt(2)/sqrt(2) is like x/x and x/x always = 1",
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"timestamp": "11/03/2022 02:37:48",
"content": "but since its neg",
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"timestamp": "11/03/2022 02:37:51",
"content": "its in the 4th quad",
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"timestamp": "11/03/2022 02:38:12",
"content": "so 7pi/4 right?",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:38:26",
"content": "Well, yes, but that's not in the range [-pi/2, pi/2]",
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"timestamp": "11/03/2022 02:38:30",
"content": "ohhhhhhh right",
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"timestamp": "11/03/2022 02:38:32",
"content": "shoot",
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"timestamp": "11/03/2022 02:38:58",
"content": "-pi/4?",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:39:03",
"content": "Yep 👍",
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"timestamp": "11/03/2022 02:39:06",
"content": "i just subtracted 2pi",
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"timestamp": "11/03/2022 02:39:07",
"content": "YESS",
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"timestamp": "11/03/2022 02:39:12",
"content": "ok i need to remember the range bit lol",
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"timestamp": "11/03/2022 02:39:34",
"content": "You can also just think of the 4th quadrant as having negative angles, since it's rotating clockwise intstead of counterclockwise",
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"timestamp": "11/03/2022 02:39:50",
"content": "-pi/4 is pi/4 radians clockwise",
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"timestamp": "11/03/2022 02:41:07",
"content": "oh yeahh",
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"timestamp": "11/03/2022 02:41:29",
"content": "btw arccos's range is also -pi/2 to pi/2 right",
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"timestamp": "11/03/2022 02:41:32",
"content": "or is it -pi to pi",
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"timestamp": "11/03/2022 02:41:44",
"content": "No, arccos is [0,pi]",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:41:57",
"content": "arccos has to cover all possible x-values on the unit circle",
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"timestamp": "11/03/2022 02:42:00",
"content": "but only once",
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"id": 1037617679739134000,
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"timestamp": "11/03/2022 02:42:12",
"content": "Just like arcsin has to cover all possible y-values on the unit circle, exactly once",
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"timestamp": "11/03/2022 02:42:55",
"content": "but isnt the full x axis on the unit circle = 2pi",
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"timestamp": "11/03/2022 02:43:02",
"content": "0 to pi is only 1pi",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:43:07",
"content": "so half of it right?",
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"author_name": "tatpoj",
"timestamp": "11/03/2022 02:43:21",
"content": "0 to 2pi is the whole circle, from right to left and back to right",
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"timestamp": "11/03/2022 02:43:36",
"content": "as far as x-value is concerned",
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"timestamp": "11/03/2022 02:44:08",
"content": "hm",
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"id": 1037618171701641200,
"author_id": 862607295162220500,
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"timestamp": "11/03/2022 02:44:10",
"content": "alright",
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"author_name": "bababeeboo",
"timestamp": "11/03/2022 02:44:18",
"content": "im gonna try arctan sqrt 3 now",
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"timestamp": "11/03/2022 02:45:54",
"content": "pi/6 i think?",
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"timestamp": "11/03/2022 02:46:29",
"content": "Close, but that would be 1/sqrt(3)",
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"timestamp": "11/03/2022 02:47:08",
"content": "ohhh",
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"timestamp": "11/03/2022 02:47:09",
"content": "pi/3",
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"timestamp": "11/03/2022 02:47:14",
"content": "Yep 👍",
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"timestamp": "11/03/2022 03:02:38",
"content": "",
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"timestamp": "11/03/2022 03:02:45",
"content": "ok i have no clue what im looking at here",
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"timestamp": "11/03/2022 03:02:52",
"content": "angular speed is w = theta / t",
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"timestamp": "11/03/2022 03:03:17",
"content": "so is this not saying y = a sin (theta/t) * t",
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"timestamp": "11/03/2022 03:04:58",
"content": "i assume a = 5",
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"timestamp": "11/03/2022 03:05:06",
"content": "im not sure how to get theta or t tho",
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"timestamp": "11/03/2022 03:10:35",
"content": "oh i figured it ouit",
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"timestamp": "11/03/2022 03:10:45",
"content": "anyways, tysm for all ur help i really really appreciate it @tatpoj ❤️",
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"content": ".close",
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] | help-9 | 4f3d91c5ea8344b799dcb10acedeabd9 |
201,357 | [
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{
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"timestamp": "11/03/2022 04:26:10",
"content": "Solving it ?",
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"content": "yes",
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"timestamp": "11/03/2022 04:27:20",
"content": "I actually have something now",
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"timestamp": "11/03/2022 04:27:21",
"content": "but",
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"author_name": "steamhahasteamhaha",
"timestamp": "11/03/2022 04:27:25",
"content": "I'm not sure if it's correct",
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"timestamp": "11/03/2022 04:38:57",
"content": "I have $\\ddot{\\alpha} = g\\frac{mR-Mr}{I + Mr² - mR²}$ though I'm not sure",
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"timestamp": "11/03/2022 04:38:59",
"content": "**Silfer**",
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"timestamp": "11/03/2022 04:55:45",
"content": "wait",
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"timestamp": "11/03/2022 04:56:24",
"content": "can I see your solution?",
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"timestamp": "11/03/2022 04:59:08",
"content": "I did not react it entirely and mostly did it with my head",
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"timestamp": "11/03/2022 04:59:23",
"content": "I got a different answer",
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"timestamp": "11/03/2022 04:59:33",
"content": "let me just upload it",
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"timestamp": "11/03/2022 05:01:02",
"content": "Is F1 equal to -T1 ?",
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"timestamp": "11/03/2022 05:01:14",
"content": "nope",
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"timestamp": "11/03/2022 05:01:20",
"content": "here's what I did",
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"timestamp": "11/03/2022 05:01:57",
"content": "Oh well",
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"timestamp": "11/03/2022 05:02:03",
"content": "That's where I was wrong",
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"timestamp": "11/03/2022 05:02:13",
"content": "The vectors are opposed but not the norms",
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"timestamp": "11/03/2022 05:04:07",
"content": "I have $$\\ddot{\\alpha}=g \\frac{Mr -mR}{I + Mr² + mR²}$$",
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"timestamp": "11/03/2022 05:04:36",
"content": "**Silfer**",
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"timestamp": "11/03/2022 05:08:19",
"content": "yeppp",
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"author_name": "steamhahasteamhaha",
"timestamp": "11/03/2022 05:08:22",
"content": "now we got the same answer",
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"author_name": "steamhahasteamhaha",
"timestamp": "11/03/2022 05:08:37",
"content": "EXACTLY THE SAME ANSWER NOWWW",
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"timestamp": "11/03/2022 05:08:39",
"content": "lets goo",
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"author_name": "steamhahasteamhaha",
"timestamp": "11/03/2022 05:09:15",
"content": "can I see how you did this?",
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"timestamp": "11/03/2022 05:10:03",
"content": "can I see how you did this?",
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"timestamp": "11/03/2022 05:10:47",
"content": "Just take back my work from before and replace T1 and T2 by -T1 and -T2",
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"timestamp": "11/03/2022 05:11:47",
"content": "I do not understand your handwriting 😅",
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"timestamp": "11/03/2022 05:12:27",
"content": "It wasn't meant to be sent heh",
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"timestamp": "11/03/2022 05:12:48",
"content": "Plus I dont write in english",
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"author_name": "steamhahasteamhaha",
"timestamp": "11/03/2022 05:12:58",
"content": "so you started with Net torque = I * alpha?",
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"timestamp": "11/03/2022 05:13:30",
"content": "Yeah somehow. I wrote down all 5 equations",
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"timestamp": "11/03/2022 05:13:51",
"content": "And solved for d²alpha/dt²",
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"timestamp": "11/03/2022 05:14:05",
"content": "oh I don't know how to do that",
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"id": 1037656187916796000,
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"timestamp": "11/03/2022 05:15:13",
"content": "Dont you know how to solve linear systems of equations ?",
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"timestamp": "11/03/2022 05:15:23",
"content": "i only know basic derivatives I don't know how to use them in physics",
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"timestamp": "11/03/2022 05:15:50",
"content": "Dont use derivatives",
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"timestamp": "11/03/2022 05:16:15",
"content": "doesnt d^2/dt^2 have something to do with derivatives",
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"timestamp": "11/03/2022 05:16:19",
"content": "d²alpha/dt² is what we found, the a angular acceleration",
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"timestamp": "11/03/2022 05:16:37",
"content": "with alpha the angle by which the pulley turned",
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"timestamp": "11/03/2022 05:18:12",
"content": "d^2/dt^2 whats this?",
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"timestamp": "11/03/2022 05:19:05",
"content": "d²alpha/dt² is alpha's second derivative with respect to time (or acceleration)",
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"timestamp": "11/03/2022 05:19:29",
"content": "You dont need to take anything's derivative to find it here",
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"timestamp": "11/03/2022 05:19:41",
"content": "alpha with two dots is the same thing",
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"timestamp": "11/03/2022 06:18:13",
"content": "@steamhahasteamhaha Has your question been resolved?",
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] | help-9 | fe347ddb37a0416fbac057054cbd531c |
201,358 | [
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/03/2022 07:39:36",
"content": "Available help channel!",
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"author_id": 647903009359003600,
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"timestamp": "11/03/2022 07:48:00",
"content": "i need a tutor fr",
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"id": 1037694637617446900,
"author_id": 805217272087838700,
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"timestamp": "11/03/2022 07:48:01",
"content": "Pinned a message.",
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"timestamp": "11/03/2022 07:48:12",
"content": "im in algebra 1",
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"author_id": 647903009359003600,
"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:48:24",
"content": "ill ask you the questions later",
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"id": 1037694739631312900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "11/03/2022 07:48:25",
"content": "lol",
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"author_id": 647903009359003600,
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"timestamp": "11/03/2022 07:48:28",
"content": "but just know",
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"timestamp": "11/03/2022 07:48:30",
"content": "algebra 1 can mean many things",
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"id": 1037694762179899400,
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"timestamp": "11/03/2022 07:48:30",
"content": "wrong place",
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"author_id": 647903009359003600,
"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:48:33",
"content": "ill be here",
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"timestamp": "11/03/2022 07:48:43",
"content": "man like simple stuff",
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"timestamp": "11/03/2022 07:48:50",
"content": "uhhh",
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"timestamp": "11/03/2022 07:49:00",
"content": "gcf stuff like that",
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"id": 1037694941708693600,
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"author_name": "synx",
"timestamp": "11/03/2022 07:49:13",
"content": ".",
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"timestamp": "11/03/2022 07:50:04",
"content": "Algebra 1 here is galois theory and Algebra 2 is commutative algebra",
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"content": "i have no idea what that means",
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"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:50:17",
"content": "but ill type a problem in",
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"author_name": "synx",
"timestamp": "11/03/2022 07:50:18",
"content": "thats primary school stuff",
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"timestamp": "11/03/2022 07:50:35",
"content": "but go ahead",
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"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:51:22",
"content": "8(2w - 1) -4w = -116",
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"timestamp": "11/03/2022 07:51:55",
"content": "are you gonna solve for w?",
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"timestamp": "11/03/2022 07:52:00",
"content": "i guess yeah",
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"author_id": 647903009359003600,
"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:52:09",
"content": "i dont know what to do",
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"author_id": 647903009359003600,
"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:52:16",
"content": "i havent paid attention since 7th grade",
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"id": 1037695740165759000,
"author_id": 804321091287515100,
"author_name": "synx",
"timestamp": "11/03/2022 07:52:23",
"content": "what grade are you in",
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"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:53:30",
"content": "10th",
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"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:53:55",
"content": "somehow i passed 8th math",
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"author_name": "foreverMALICIOUS",
"timestamp": "11/03/2022 07:53:59",
"content": "i failed 9th",
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},
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"id": 1037699917742882800,
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"author_name": "Mathematics Bot",
"timestamp": "11/03/2022 08:08:59",
"content": "@foreverMALICIOUS Has your question been resolved?",
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"timestamp": "11/03/2022 08:24:00",
"content": "Channel closed",
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] | help-9 | e3533aeeead84992b61140ea13ff8e2a |
201,359 | [
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"timestamp": "11/03/2022 08:52:48",
"content": "how do i simplify the equation on y''",
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"content": "the answer is 2 but i do not know how",
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"author_name": "Ryuzaki",
"timestamp": "11/03/2022 08:53:11",
"content": ",rotate",
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},
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"id": 1037711050310693000,
"author_id": 510789298321096700,
"author_name": "TeXit",
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"timestamp": "11/03/2022 09:07:57",
"content": "@junie Has your question been resolved?",
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"author_name": "Avalonbladeworks",
"timestamp": "11/03/2022 09:16:24",
"content": "if you take - outside on first term\nit becomes like (a+b)^2 and second becomes (a-b)^2",
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"timestamp": "11/03/2022 09:16:33",
"content": "or you can simply multiple them\nand get the result",
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"timestamp": "11/03/2022 09:32:59",
"content": "thqank you",
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"content": ".close",
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"timestamp": "11/03/2022 09:33:01",
"content": "Channel closed",
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] | help-9 | cd93d04a971747e6af1a7f3eb3a700cd |
201,360 | [
{
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"timestamp": "11/03/2022 09:34:20",
"content": "trouble figuring out this matrix rule",
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"timestamp": "11/03/2022 09:35:06",
"content": "i thought it would be mirrored on both sides, but its just 0's..",
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"author_name": "Ann",
"timestamp": "11/03/2022 09:35:16",
"content": "your relation is not symmetric.",
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"timestamp": "11/03/2022 09:35:26",
"content": "so there is no reason for your matrix to be symmetric either",
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"timestamp": "11/03/2022 09:36:14",
"content": "recall that this entry, for example, tells you whether the pair (5,1) is in rho. in your case, this entry answers the question \"Does 5 divide 1?\"",
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"timestamp": "11/03/2022 09:36:23",
"content": "and since the answer to that question is **no**, the entry is zero.",
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"timestamp": "11/03/2022 09:36:57",
"content": "hmmm yeah thats true",
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"timestamp": "11/03/2022 09:37:56",
"content": "i dont think i thought of it yea u right\nso the y axis is always the first one\n1 divides 6 \n2 divides 6 etc",
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"timestamp": "11/03/2022 09:38:33",
"content": "i would say \"rows and columns\" rather than \"x and y axis\"",
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"content": "when talking about the position of an entry in a matrix, it's always row number then column number.",
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"timestamp": "11/03/2022 09:39:30",
"content": "yeah thats a good way of thinking about it. thanks 😄",
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"timestamp": "11/03/2022 09:39:38",
"content": ".close",
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] | help-9 | c7b116fcfa4542c4bd21d81118d29fe2 |
201,361 | [
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"timestamp": "11/03/2022 09:41:18",
"content": "oh just real quick with this next part of the question",
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"timestamp": "11/03/2022 09:41:36",
"content": "they get rid of the identity so 1 divides 1 is removed. is that the only \"non-strict\" relation in these type of questions, when its related to itself?",
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"timestamp": "11/03/2022 09:42:26",
"content": "it's not just \"1 | 1\"",
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"id": 1037723458777387000,
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"timestamp": "11/03/2022 09:42:32",
"content": "it's also 2 | 2 and 3 | 3 and x | x for other x",
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"timestamp": "11/03/2022 09:42:35",
"content": "yeah",
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"timestamp": "11/03/2022 09:42:39",
"content": "when it divides itself",
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"timestamp": "11/03/2022 09:42:58",
"content": "but could these non-strict rules change depending on the question",
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"content": "to get the associated strict relation you put 0's on the main diagonal",
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"timestamp": "11/03/2022 09:43:11",
"content": "i don't know what you mean by \"nonstrict rules\"",
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"content": "alright if thats all u need to do, just make 0s on the diagonal then thats easy breazy",
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"timestamp": "11/03/2022 09:43:55",
"content": "thanks again^^",
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] | help-9 | f2e6eeedc59d43d8a79f213ea70a09d5 |
201,362 | [
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] | help-9 | e88b04ca66b44f69a7b184fa4661481e |
201,363 | [
{
"id": 1037731420925337600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/03/2022 10:14:10",
"content": "Available help channel!",
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"id": 1037734384616345600,
"author_id": 321716728734154750,
"author_name": "Max.cc",
"timestamp": "11/03/2022 10:25:57",
"content": "is the derivate of $tan^n(x)$ is $\\frac{n \\times tan^{n-1}(x)}{cos^2(x)}$",
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"id": 1037734386784805000,
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"timestamp": "11/03/2022 10:25:57",
"content": "Pinned a message.",
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"id": 1037734484843442300,
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"timestamp": "11/03/2022 10:26:21",
"content": "**Max.cc**",
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"timestamp": "11/03/2022 10:26:29",
"content": "Yes",
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"timestamp": "11/03/2022 10:27:19",
"content": "For f a function, (f^n)' = n * f' * (f^n-1)",
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"timestamp": "11/03/2022 10:27:30",
"content": "With f' the derivative fonction",
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"author_id": 321716728734154750,
"author_name": "Max.cc",
"timestamp": "11/03/2022 10:27:51",
"content": "so the main question is calculate this integral :",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:27:52",
"content": "$\\int^{pi/4}_0 tan^n(x)(1+tan^2(x))$",
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"timestamp": "11/03/2022 10:28:14",
"content": "but i've trouble",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:28:43",
"content": "i thought about doing an integration by part",
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"timestamp": "11/03/2022 10:29:29",
"content": "Yes but here x is real",
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"content": "It's not like you wrote",
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"timestamp": "11/03/2022 10:29:55",
"content": "I think of using ln to get rid of the x exponent",
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"timestamp": "11/03/2022 10:30:54",
"content": "but it doesn't get it easier to calculate",
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"timestamp": "11/03/2022 10:31:03",
"content": "so it give us $[(x + \\frac{tan^3(x)}{cos^2(x)})tan^n(x)]^{pi/4}_0 - \\int (1+ tan^2(x))(\\frac{ntan^{n-1}}{cos^2 x})$",
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"timestamp": "11/03/2022 10:31:47",
"content": "my mistake it's a n",
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"timestamp": "11/03/2022 10:32:08",
"content": "oh ok it's better xDD",
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"timestamp": "11/03/2022 10:32:11",
"content": "I was scared",
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"timestamp": "11/03/2022 10:32:16",
"content": "x)",
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"timestamp": "11/03/2022 10:33:01",
"content": "**Max.cc**",
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"timestamp": "11/03/2022 10:33:41",
"content": "wtf",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:34:13",
"content": "i don't understand how you chose which one you derive",
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"timestamp": "11/03/2022 10:34:52",
"content": "I think you want derive tan^n",
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"timestamp": "11/03/2022 10:35:09",
"content": "But then why is there an x in the brackets ?",
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"timestamp": "11/03/2022 10:35:27",
"content": "**Max.cc**",
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"timestamp": "11/03/2022 10:35:40",
"content": "forgot the x, sry x)",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:35:51",
"content": "i choose to integrate 1 + tan^2(x) for the left and derivate tan^n(x) for the right",
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"timestamp": "11/03/2022 10:37:12",
"content": "Bro that doesn't seem right",
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"timestamp": "11/03/2022 10:37:46",
"content": "",
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"timestamp": "11/03/2022 10:37:54",
"content": "Here you choose u(x) = tan^n",
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"timestamp": "11/03/2022 10:38:04",
"content": "and v'(x) = (1+tan^2)",
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"timestamp": "11/03/2022 10:38:16",
"content": "yeah that's why i integrate it",
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"timestamp": "11/03/2022 10:38:43",
"content": "but there must be an error when i integrate it",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:38:49",
"content": "So in the right hand integral, why did you write u'(x) * v'(x) ?",
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"timestamp": "11/03/2022 10:39:01",
"content": "U must integrate v'(x)",
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"timestamp": "11/03/2022 10:40:34",
"content": "on the right hand i didn't have touch to (1+tan^2(x)) and i derivate tan^n(x)",
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"timestamp": "11/03/2022 10:41:52",
"content": "ah i have to integrate (1 + tan^2(x)",
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"timestamp": "11/03/2022 10:41:58",
"content": "Yes !",
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"id": 1037738526667718800,
"author_id": 408297823608635400,
"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:42:25",
"content": "And idk what you wrote into the brackets but doesn't seem true",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:43:43",
"content": "the integrate of 1 + tan^2(x) is x + cos^2(x) * tan^3(x) / 3",
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"timestamp": "11/03/2022 10:44:27",
"content": "oh ok that's not what you wrote",
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"timestamp": "11/03/2022 10:44:33",
"content": "yeah",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:44:50",
"content": "and are you sure ?",
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"timestamp": "11/03/2022 10:45:59",
"content": "Honestly i think we cannot calculate this integral",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:46:09",
"content": "Is it an exercise you were given ?",
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"id": 1037739626141585400,
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"timestamp": "11/03/2022 10:46:47",
"content": "yeah",
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"timestamp": "11/03/2022 10:47:03",
"content": "but it's possible",
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"timestamp": "11/03/2022 10:47:04",
"content": "https://www.integral-calculator.com/",
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"timestamp": "11/03/2022 10:47:27",
"content": "it gives",
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"timestamp": "11/03/2022 10:53:35",
"content": "They are simplifying it as tan^n * sec^2",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:53:55",
"content": "yeah but sry i don't have this tool yet :p",
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"timestamp": "11/03/2022 10:54:02",
"content": "??",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:54:15",
"content": "idk what's sec and how to use it",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:54:15",
"content": "You know sin^2 + cos^2 = 1 ?",
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"timestamp": "11/03/2022 10:54:24",
"content": "sec = 1/cos",
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"timestamp": "11/03/2022 10:54:25",
"content": "yes",
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"timestamp": "11/03/2022 10:54:41",
"content": "ok",
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"timestamp": "11/03/2022 10:55:22",
"content": "Then if you divide by cos^2, you get tan^2 + 1 = sec^2",
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"timestamp": "11/03/2022 10:55:31",
"content": "so tan^2 = sec^2 -1",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 10:56:25",
"content": "That will be better for you to understand",
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"timestamp": "11/03/2022 10:56:34",
"content": "Just know that sec = 1/cos",
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"timestamp": "11/03/2022 10:58:17",
"content": "i don't get",
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"timestamp": "11/03/2022 10:58:33",
"content": "tan^2 + 1 = 1 / cos^2",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 10:58:45",
"content": "why",
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"author_id": 321716728734154750,
"author_name": "Max.cc",
"timestamp": "11/03/2022 10:59:02",
"content": "where it comes from",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 11:00:10",
"content": "Because $cos^2 + sin^2 = 1$ then $\\frac{cos^2 + sin^2}{cos^2}$ = $\\frac{1}{cos^2}$ = $sec^2$",
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"timestamp": "11/03/2022 11:00:44",
"content": "ok ok i see",
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"timestamp": "11/03/2022 11:01:10",
"content": "**ByShaDowZ**",
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"timestamp": "11/03/2022 11:02:55",
"content": "ok i got it",
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"author_name": "Max.cc",
"timestamp": "11/03/2022 11:03:20",
"content": "do you think it's possible to do the same with the integration by part",
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"timestamp": "11/03/2022 11:03:51",
"content": "No",
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"timestamp": "11/03/2022 11:03:56",
"content": "I don't think so",
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"author_name": "ByShaDowZ",
"timestamp": "11/03/2022 11:04:21",
"content": "They are a lot of integrals that we cannot calculate",
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"id": 1037744269752008700,
"author_id": 321716728734154750,
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"timestamp": "11/03/2022 11:05:14",
"content": "ok",
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},
{
"id": 1037744287598780400,
"author_id": 321716728734154750,
"author_name": "Max.cc",
"timestamp": "11/03/2022 11:05:18",
"content": "thx for the help",
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{
"id": 1037744293609218200,
"author_id": 321716728734154750,
"author_name": "Max.cc",
"timestamp": "11/03/2022 11:05:19",
"content": ".close",
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},
{
"id": 1037744296767533000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/03/2022 11:05:20",
"content": "Channel closed",
"attachments": [],
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}
] | help-9 | 9866aa6646fa4b63b76905c0c7ec3717 |
201,364 | [
{
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"timestamp": "11/03/2022 11:06:21",
"content": "Available help channel!",
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},
{
"id": 1037745747073958000,
"author_id": 771081560513577000,
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"timestamp": "11/03/2022 11:11:06",
"content": "How should i solve this question I tried it but I couldn't think and the answer is wrong",
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"timestamp": "11/03/2022 11:11:07",
"content": "Pinned a message.",
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{
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"timestamp": "11/03/2022 11:24:31",
"content": "**jimmy1234**",
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{
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"content": "**jimmy1234**",
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"timestamp": "11/03/2022 11:29:46",
"content": "@Harsh Patil Has your question been resolved?",
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{
"id": 1037751113098723300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "11/03/2022 11:32:25",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] | help-9 | bfa21fe25b194148bbec69a742b24f9a |
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