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{
"id": 1000325122080657500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 04:54:54",
"content": "Available help channel!",
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},
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"id": 1000336207764521100,
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"author_name": "Hazysleet",
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"id": 1000336209928798200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 05:38:57",
"content": "Pinned a message.",
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{
"id": 1000336848666771600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/23/2022 05:41:30",
"content": "for all those who do not want to squint:\n```\nSuppose that 4.5% of people living in a particular city own a Creta. A survey has been conducted to know what brand of cars people use in the city. What is the probability that the 12th person being interviewed during the survey is the 2nd one to own a Creta?\n```",
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{
"id": 1000339719244234800,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:52:54",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1000340166080213000,
"author_id": 1000245449401311200,
"author_name": "clattanoid",
"timestamp": "07/23/2022 05:54:41",
"content": "",
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"id": 1000340188234518500,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:54:46",
"content": ",rotate",
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},
{
"id": 1000340193267679200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/23/2022 05:54:47",
"content": "",
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"id": 1000340341653782500,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:55:22",
"content": "IID binomial distribution",
"attachments": [],
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"reference": null
},
{
"id": 1000340360603631600,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:55:27",
"content": ":thinkies:",
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},
{
"id": 1000340367406796900,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:55:29",
"content": "hmm",
"attachments": [],
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},
{
"id": 1000340376550375400,
"author_id": 1000245449401311200,
"author_name": "clattanoid",
"timestamp": "07/23/2022 05:55:31",
"content": "First accounting for the probability that only one person among First 11 owns a creta, and then multiplying with probability that 12th person owns creta",
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},
{
"id": 1000340560499978200,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:56:15",
"content": "makes sense",
"attachments": [],
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},
{
"id": 1000340956022837200,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:57:49",
"content": "understood",
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{
"id": 1000341017976905700,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:58:04",
"content": "thanks",
"attachments": [],
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"reference": null
},
{
"id": 1000341080065187800,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:58:18",
"content": "please don't DM your answers",
"attachments": [],
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},
{
"id": 1000341114940821500,
"author_id": 1000245449401311200,
"author_name": "clattanoid",
"timestamp": "07/23/2022 05:58:27",
"content": "Alright",
"attachments": [],
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},
{
"id": 1000341231622168600,
"author_id": 709050483335102600,
"author_name": "Hazysleet",
"timestamp": "07/23/2022 05:58:55",
"content": ".close",
"attachments": [],
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},
{
"id": 1000341233274728400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 05:58:55",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
dee1ad2d2f654433bbb4f7dcf09044b8
|
197,366 |
[
{
"id": 1000365890409336800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 07:36:54",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1000385048094187500,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 08:53:01",
"content": "Sam, Evabeth, Allie and Olive share a bag of sweets. Sam ate 5/8 of sweets and Evabeth ate 7/9 of sweets. The rest of the sweets are then splitted equality between Allie and Olive. How much sweets did Olive received?",
"attachments": [],
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},
{
"id": 1000385050954711200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 08:53:02",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1000385116788498400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 08:53:18",
"content": "i took 1-(5/8)-(7/9) then divided the answer by 2",
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},
{
"id": 1000385128763248600,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 08:53:20",
"content": "is it correct?",
"attachments": [],
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},
{
"id": 1000386029221597200,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "07/23/2022 08:56:55",
"content": "well that would be a negative amount it seems",
"attachments": [],
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},
{
"id": 1000386099157418100,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "07/23/2022 08:57:12",
"content": "is the question correct? they're both having more than half",
"attachments": [],
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},
{
"id": 1000386272080171100,
"author_id": 648134083544875000,
"author_name": "mmmmm",
"timestamp": "07/23/2022 08:57:53",
"content": "they ate more than they have, sadly, but it seems like Olive got nothing",
"attachments": [],
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"reference": null
},
{
"id": 1000387058793185300,
"author_id": 919270710168399900,
"author_name": "Fonty",
"timestamp": "07/23/2022 09:01:01",
"content": "Wait so Sam and Evabeth ate 101 out of 72 sweets? What kind of question is this?",
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{
"id": 1000387536293732500,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 09:02:54",
"content": "oop my bad",
"attachments": [],
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},
{
"id": 1000387640585101300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 09:03:19",
"content": "i meant Sam ate 1/8 and Evabeth ate 2/9 sweets",
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},
{
"id": 1000387983251345500,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "07/23/2022 09:04:41",
"content": "alright then your initial setup with the correct values should work out then",
"attachments": [],
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},
{
"id": 1000388156182503600,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 09:05:22",
"content": "1-(1/8+2/9) and then divide the answer by 2?",
"attachments": [],
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},
{
"id": 1000388365415350400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 09:06:12",
"content": "thanks",
"attachments": [],
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"reference": null
},
{
"id": 1000388367814504400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/23/2022 09:06:13",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1000388369244758000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 09:06:13",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
e270d34f828b4eb3afa594da2c6d0e7c
|
197,367 |
[
{
"id": 1000398853780029400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 09:47:53",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1000400276525678700,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:53:32",
"content": "",
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{
"id": 1000400278769643500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 09:53:32",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1000400331055824900,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:53:45",
"content": "how was 5/12 converted into degrees and minutes and seconds?",
"attachments": [],
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},
{
"id": 1000400419475968300,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:54:06",
"content": "i feel like they left out a few steps there",
"attachments": [],
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},
{
"id": 1000400488996552800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:54:23",
"content": "Wdym minutes and seconds",
"attachments": [],
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},
{
"id": 1000400500484743200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:54:25",
"content": "Is this on a clock?",
"attachments": [],
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},
{
"id": 1000400630512357400,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:54:56",
"content": "i assume so, that's not what they're called?",
"attachments": [],
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},
{
"id": 1000400656215064700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:55:02",
"content": "I have no idea",
"attachments": [],
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},
{
"id": 1000400688989339800,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:55:10",
"content": "minute of arc, second of arc",
"attachments": [],
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},
{
"id": 1000400721402929300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/23/2022 09:55:18",
"content": "Minutes and seconds are also angle measures",
"attachments": [],
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},
{
"id": 1000400762779746300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 09:55:28",
"content": "60 minutes = 1 degree",
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},
{
"id": 1000400784791445600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 09:55:33",
"content": "60 seconds = 1 minute of arc",
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},
{
"id": 1000400790034329600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:55:34",
"content": "Never heard of those terms. But they took the arctangent of the ratio to get the degrees",
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},
{
"id": 1000400865091391500,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 09:55:52",
"content": "The only place I use them is in astronomy",
"attachments": [],
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},
{
"id": 1000401149591044100,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:57:00",
"content": "what's the process of that exactly?",
"attachments": [],
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{
"id": 1000401208843976700,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/23/2022 09:57:14",
"content": "Calculator",
"attachments": [],
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},
{
"id": 1000401228720771200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:57:19",
"content": "Yeah lol",
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{
"id": 1000401285494870000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:57:33",
"content": "Whip out the good old TI-84 and clicky click buttons",
"attachments": [],
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},
{
"id": 1000401335927189600,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:57:45",
"content": "really? i can't do that manually?",
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{
"id": 1000401363169185900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:57:51",
"content": "I mean",
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},
{
"id": 1000401418026487900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:58:04",
"content": "You can if you hate your life and you'll get only an estimate",
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{
"id": 1000401581700817200,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:58:43",
"content": "i guess that makes it easier but at the same time, i wanna learn some stuff bro, this is the same with finding the value of the function",
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{
"id": 1000401622918250600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:58:53",
"content": "Well just use a calculator",
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},
{
"id": 1000401646620250200,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 09:58:59",
"content": "you just beep boop and aboom new number!",
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},
{
"id": 1000401662348902500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:59:02",
"content": "Because arctan(5/12) ≈ 22",
"attachments": [],
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},
{
"id": 1000401671270174800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:59:04",
"content": "Not exactly 22",
"attachments": [],
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},
{
"id": 1000401759937761300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 09:59:26",
"content": "",
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"author_name": "Lime",
"timestamp": "07/23/2022 10:00:06",
"content": "aight. i guess i just do that then.. thanks",
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},
{
"id": 1000401937184850000,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "07/23/2022 10:00:08",
"content": "And even then it keeps on going. So I doubt you'd be able to find this by hand very easily.",
"attachments": [],
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},
{
"id": 1000401977106251800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:00:17",
"content": "(Unless you wanna know)",
"attachments": [],
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},
{
"id": 1000402056743493800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:00:36",
"content": "(Just for curiosity reasons)",
"attachments": [],
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},
{
"id": 1000402099584122900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:00:47",
"content": "(But use a calculator tbh)",
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},
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"id": 1000402123860754600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 10:00:52",
"content": "What? Evaluating Taylor polynomials sounds like my definition of fun.",
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},
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"id": 1000402169268281500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:01:03",
"content": "Hahahahahaahahzfxisn$?//!&/$2?!b /!! Funny",
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"author_name": "TeXit",
"timestamp": "07/23/2022 10:01:06",
"content": "**Umbraleviathan**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
"attachments": [
{
"id": 1000402180190245000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1000402180190244934/349354952961032192.png",
"fileName": "349354952961032192.png",
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"id": 1000402194635436000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:01:09",
"content": "LMAO",
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},
{
"id": 1000402198620033000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:01:10",
"content": "OOPS",
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},
{
"id": 1000402212045983900,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:01:13",
"content": "ew wtf",
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"id": 1000402214638080000,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 10:01:14",
"content": "LOl",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000402223462879400,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:01:16",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000402225316761600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 10:01:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
783e7a99bd4741e8b204e678d40be38f
|
197,368 |
[
{
"id": 1000402405046890500,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 10:01:59",
"content": "is there something I am missing?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000403173552435300,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:05:03",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000403180171034800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 10:05:04",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000403213960356000,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:05:12",
"content": "what site is this?",
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{
"id": 1000403267458695300,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:05:25",
"content": "every other site just shows me the decimal form",
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},
{
"id": 1000403277604729000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:05:27",
"content": "Desmos",
"attachments": [],
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},
{
"id": 1000403324853571700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:05:39",
"content": "I put it into degree mode",
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},
{
"id": 1000403354452770800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/23/2022 10:05:46",
"content": "By default, it'll compute the answer in radians",
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},
{
"id": 1000403424300503200,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:06:02",
"content": "aight thanks again",
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},
{
"id": 1000403431263043600,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "07/23/2022 10:06:04",
"content": ".close",
"attachments": [],
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},
{
"id": 1000403432705896400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 10:06:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6761e1bbb6a24f22bb61d73135a2d1e1
|
197,369 |
[
{
"id": 1000431169709551700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 11:56:17",
"content": "Available help channel!",
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},
{
"id": 1000431526934224900,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 11:57:43",
"content": "How many different 5-letter words that contain B exactly once can be made from the 8 tiles A, B, B, C, D, E, F, G?",
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},
{
"id": 1000431528909734000,
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"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 11:57:43",
"content": "Pinned a message.",
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},
{
"id": 1000432282357747800,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:00:43",
"content": "i was thinking it'd be (2 * 6 * 5 * 4 * 3) * 5",
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"id": 1000432567587176600,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:01:51",
"content": "cause theres 2 B's, and after one B is down there'd be 6 letters left for the rest",
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{
"id": 1000432697430257800,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:02:22",
"content": "then * 5 for each position of B in the word",
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},
{
"id": 1000435367121535000,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:12:58",
"content": "@Helpers",
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"reference": null
},
{
"id": 1000436254489448400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:16:30",
"content": "do you know combinatorics?",
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},
{
"id": 1000436603795296400,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:17:53",
"content": "yeh i think so",
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},
{
"id": 1000436649991360600,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:18:04",
"content": "it asks for the number of 5 letter words",
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},
{
"id": 1000436708090855400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:18:18",
"content": "two B's doesnt affect anything",
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"id": 1000436804039757800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:18:41",
"content": "think more please",
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},
{
"id": 1000437188934238200,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:20:13",
"content": "damn so was i thinking like how many ways can the letters be ordered",
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},
{
"id": 1000437212724334700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:20:18",
"content": "yeah it doesn;t affect your calculation if there are 2 Bs or 15 Bs",
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},
{
"id": 1000437214553063600,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:20:19",
"content": "first, choose 4 letters from A C D E F G, then arrange them with B",
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},
{
"id": 1000437223134593200,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:20:21",
"content": "instead of how many words",
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},
{
"id": 1000437300536279200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:20:39",
"content": "do you know how many ways you can choose 4 letters from 6 letters?",
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},
{
"id": 1000437317565157500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:20:43",
"content": "`(6 * 5 * 4 * 3) * 5` should work",
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},
{
"id": 1000437430710706300,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:21:10",
"content": "6!/2!",
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"id": 1000437504282992600,
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"author_name": "FructosePear",
"timestamp": "07/23/2022 12:21:28",
"content": "its actually 6!/2!4!",
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"id": 1000437581890195500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:21:46",
"content": "then there are 4 ways to arrange them in the word",
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},
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"id": 1000437613234229200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:21:54",
"content": "so you multiply by 41",
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{
"id": 1000437641898102900,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:22:01",
"content": "to get 6!/2!",
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{
"id": 1000437692296863900,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:22:13",
"content": "its the same thing, but it makes more sense (at least to me)",
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},
{
"id": 1000437767089692700,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:22:30",
"content": "damn im confused when youre meant to use the Perm formula adn the comb formula",
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},
{
"id": 1000437849444864100,
"author_id": 501097611256922100,
"author_name": "VincentBH",
"timestamp": "07/23/2022 12:22:50",
"content": "you are gonna double count the words with 2 B's",
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"id": 1000437914079072300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:23:05",
"content": "what",
"attachments": [],
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},
{
"id": 1000437982832099500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:23:22",
"content": "it asks for the number of words with one B",
"attachments": [],
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"reference": null
},
{
"id": 1000438026939420800,
"author_id": 501097611256922100,
"author_name": "VincentBH",
"timestamp": "07/23/2022 12:23:32",
"content": "oh nvm",
"attachments": [],
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},
{
"id": 1000438031259545700,
"author_id": 501097611256922100,
"author_name": "VincentBH",
"timestamp": "07/23/2022 12:23:33",
"content": "im stupid",
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},
{
"id": 1000438034413662200,
"author_id": 501097611256922100,
"author_name": "VincentBH",
"timestamp": "07/23/2022 12:23:34",
"content": "ye",
"attachments": [],
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},
{
"id": 1000438034505945200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:23:34",
"content": "so the number of B's within the selection doesnt matter",
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},
{
"id": 1000438073907224700,
"author_id": 501097611256922100,
"author_name": "VincentBH",
"timestamp": "07/23/2022 12:23:44",
"content": "reading is hard",
"attachments": [],
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},
{
"id": 1000438090130784400,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:23:47",
"content": "noooo",
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"id": 1000438155708739700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:24:03",
"content": "so basically you're choosing 4 letters from 6 letters",
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},
{
"id": 1000438204450750700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:24:15",
"content": "and then arranging them to make a word",
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},
{
"id": 1000438252290977900,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/23/2022 12:24:26",
"content": "which would be the same as what i just explained",
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},
{
"id": 1000438566775693300,
"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/23/2022 12:25:41",
"content": "$$ ^6C_4 . 5! $$",
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},
{
"id": 1000438579065004000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/23/2022 12:25:44",
"content": "**D3VC**",
"attachments": [
{
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"id": 1000438829792116900,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:26:44",
"content": "i dont really get why you divide by 4! here",
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"author_name": "Thanus",
"timestamp": "07/23/2022 12:28:09",
"content": "if we're just choosing a 4 letter word from 6 letters, wouldnt the first letter have 6 choices, then the second have 5 choices, third have 4, then fourth has 4 choices",
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"id": 1000439322392154100,
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"author_name": "Thanus",
"timestamp": "07/23/2022 12:28:41",
"content": "so like 6 * 5 * 4 * 3? thats why i thought 6!/2!",
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"id": 1000440164012798000,
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"author_name": "Thanus",
"timestamp": "07/23/2022 12:32:02",
"content": "why didnt you need to use the 5th letter?",
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"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:33:15",
"content": "I start with B and I add 4 more letters",
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"id": 1000440547418320900,
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"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:33:33",
"content": "or I guess I start with no B at all",
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"id": 1000440573527863400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:33:40",
"content": "at the end I pick a spot for B",
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},
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"id": 1000440747998318600,
"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/23/2022 12:34:21",
"content": "@Thanus @frownyfrog A better approach would be to just choose the letters first and then arrange them",
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"id": 1000440855578030300,
"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/23/2022 12:34:47",
"content": "So you choose 4 letters out of 6",
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},
{
"id": 1000440900738093200,
"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/23/2022 12:34:58",
"content": "$$ ^6C_4 $$",
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},
{
"id": 1000440912259858400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/23/2022 12:35:00",
"content": "**D3VC**",
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"id": 1000440991456706600,
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"timestamp": "07/23/2022 12:35:19",
"content": "Then all five letters together",
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},
{
"id": 1000440997282594800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/23/2022 12:35:21",
"content": "it's more abstract, maybe that makes it better automatically idk",
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},
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"id": 1000441008858869900,
"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/23/2022 12:35:23",
"content": "Which is 5!",
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},
{
"id": 1000441163033088000,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:36:00",
"content": "this is the answer",
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"content": "so 1800",
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"content": "Ya 1800",
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"timestamp": "07/23/2022 12:37:24",
"content": "$$ ^6C_4 * 5! $$",
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"content": "**D3VC**",
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"content": "$$ ^6C_4 * 5! = 1800 $$",
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"content": "**D3VC**",
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"timestamp": "07/23/2022 12:38:04",
"content": "wait so why do we use C and not P?",
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"timestamp": "07/23/2022 12:38:18",
"content": "Because we are just choosing the letters",
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"timestamp": "07/23/2022 12:38:28",
"content": "And not permuting them",
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"timestamp": "07/23/2022 12:38:53",
"content": "5! is for permuting ( arranging ) the letters",
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"timestamp": "07/23/2022 12:38:57",
"content": "they don't know about P",
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"timestamp": "07/23/2022 12:39:19",
"content": "so they decompose it in 2 steps",
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"timestamp": "07/23/2022 12:39:47",
"content": "It's what I would do, but it's not clear why it's better",
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"timestamp": "07/23/2022 12:39:49",
"content": "Using P would make no difference",
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"timestamp": "07/23/2022 12:40:01",
"content": "Its the same thing",
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"timestamp": "07/23/2022 12:40:07",
"content": "it's worse in every way i can think of",
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"timestamp": "07/23/2022 12:40:28",
"content": "What method?",
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"timestamp": "07/23/2022 12:40:36",
"content": "yours and mine",
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"author_name": "D3VC",
"timestamp": "07/23/2022 12:40:53",
"content": "You mean this?",
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"timestamp": "07/23/2022 12:40:58",
"content": "yes",
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"timestamp": "07/23/2022 12:41:04",
"content": "that's how i would solve it",
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"author_name": "Thanus",
"timestamp": "07/23/2022 12:41:35",
"content": "so if they want only one B in the word, we do 4C6, now if they want 2 B's, would we do 3C6 ?",
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"content": "yeah",
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},
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"id": 1000443123673075800,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:43:48",
"content": "wait",
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"id": 1000443216203624600,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:44:10",
"content": "how would you account for the different positions of the B's",
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"id": 1000443270012342400,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:44:22",
"content": "like B B - - -",
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"id": 1000443404162961500,
"author_id": 526713172652982300,
"author_name": "Thanus",
"timestamp": "07/23/2022 12:44:54",
"content": "or B - B - -, B - - B -, etc",
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},
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"timestamp": "07/23/2022 12:47:21",
"content": "That is where permutation comes in",
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"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/23/2022 12:48:01",
"content": "Suppose you have to make a 5 letter word containing 2 B’s",
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"timestamp": "07/23/2022 12:49:22",
"content": "You would do $$\\frac{5!}{2!}$$",
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"id": 1000444537283547300,
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"timestamp": "07/23/2022 12:49:25",
"content": "**D3VC**",
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"id": 1000444854955946100,
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"timestamp": "07/23/2022 12:50:40",
"content": "damn i really dont know when to apply combs or perms",
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"id": 1000445154974515300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/23/2022 12:51:52",
"content": "it comes with experience",
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"id": 1000448631150760000,
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"timestamp": "07/23/2022 13:05:41",
"content": "@Thanus Has your question been resolved?",
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"timestamp": "07/23/2022 13:06:49",
"content": "Channel closed",
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}
] |
help-9
|
84e4022bfd1446268ef93bd30b6320c5
|
197,370 |
[
{
"id": 1000497158329483300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 16:18:30",
"content": "Available help channel!",
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},
{
"id": 1000511805862457500,
"author_id": 247507488591708160,
"author_name": "josh1",
"timestamp": "07/23/2022 17:16:43",
"content": "a) An antique was purchased for $5000 in 1990. It appreciates in value by 3.25% each year.",
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},
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"id": 1000511808588763100,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"timestamp": "07/23/2022 17:17:02",
"content": "would the equation y=5000(1+3.25)^x work",
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},
{
"id": 1000512363683909800,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/23/2022 17:18:56",
"content": "Yes if y is defined as the total value and x is defined as the number of years",
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"id": 1000512750038032400,
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"content": "yeah",
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{
"id": 1000512761622691800,
"author_id": 247507488591708160,
"author_name": "josh1",
"timestamp": "07/23/2022 17:20:30",
"content": "okay thanks",
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},
{
"id": 1000516296133328900,
"author_id": 244806629839732740,
"author_name": "~Martin",
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"content": "it would be 50000(1+0.0325)^x though",
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},
{
"id": 1000516320057643100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "07/23/2022 17:34:39",
"content": "as 3.25%=0.0325",
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},
{
"id": 1000516432100065400,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/23/2022 17:35:06",
"content": "^",
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"reference": null
},
{
"id": 1000516440870375600,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/23/2022 17:35:08",
"content": "@josh1",
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"id": 1000516471010644100,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/23/2022 17:35:15",
"content": "Forget what I said",
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},
{
"id": 1000516581178228700,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/23/2022 17:35:41",
"content": "Why am I so dumb",
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"timestamp": "07/23/2022 17:40:41",
"content": "@josh1 Has your question been resolved?",
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"id": 1000518181221318800,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/23/2022 17:42:03",
"content": "Thank you @riemann for understanding the pain I go through",
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"timestamp": "07/23/2022 17:55:42",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
a15629c00c7b4ea6bd781008aeee9fb5
|
197,371 |
[
{
"id": 959139269958570100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 13:17:01",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959141808032612500,
"author_id": 913195034852069400,
"author_name": "Chaotic",
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"content": "Pinned a message.",
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"id": 959142274242068600,
"author_id": 913195034852069400,
"author_name": "Chaotic",
"timestamp": "03/31/2022 13:28:58",
"content": "Nvm ig i dont got time",
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},
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"id": 959142287571574900,
"author_id": 913195034852069400,
"author_name": "Chaotic",
"timestamp": "03/31/2022 13:29:01",
"content": ".close",
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},
{
"id": 959142289484169200,
"author_id": 805217272087838700,
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"timestamp": "03/31/2022 13:29:01",
"content": "Channel closed",
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}
] |
help-9
|
5dd38ddb7b1143c5aa6ae3c48b0c21bf
|
197,372 |
[
{
"id": 1000521868882759700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 17:56:42",
"content": "Available help channel!",
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},
{
"id": 1000526557783269500,
"author_id": 774756810800103400,
"author_name": "Jango",
"timestamp": "07/23/2022 18:15:20",
"content": "Can I have help with this. This is more a general question about maths. I was above average to average at maths in primary and suddenly I am struggling but I think I might of found out why. During class I am an average student. Doing work as asked. Never missing Homerwork and always understanding. During exams I crumble. Being an inconsistent student. I go from c to a to d to c to b etc. But I think I might be struggling with a fear of being wrong",
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{
"id": 1000526559704252400,
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"timestamp": "07/23/2022 18:15:20",
"content": "Pinned a message.",
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{
"id": 1000526585348227100,
"author_id": 774756810800103400,
"author_name": "Jango",
"timestamp": "07/23/2022 18:15:26",
"content": "Is this the right channel",
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},
{
"id": 1000526793540902900,
"author_id": 774756810800103400,
"author_name": "Jango",
"timestamp": "07/23/2022 18:16:16",
"content": "You see. During the exams I seem to sometimes put down the right answer. Scribble it out and write down a different answer",
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"id": 1000527777277153300,
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"author_name": "riemann",
"timestamp": "07/23/2022 18:20:11",
"content": "uh no",
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},
{
"id": 1000527795081973800,
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"timestamp": "07/23/2022 18:20:15",
"content": "try #discussion",
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},
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"id": 1000527899910230100,
"author_id": 774756810800103400,
"author_name": "Jango",
"timestamp": "07/23/2022 18:20:40",
"content": ".close",
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},
{
"id": 1000527901701197800,
"author_id": 805217272087838700,
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"timestamp": "07/23/2022 18:20:40",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6d9c320cc3794212be0d6d351c1119bc
|
197,373 |
[
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"id": 1000529083932868700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 18:25:22",
"content": "Available help channel!",
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},
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"content": "@Enverse Has your question been resolved?",
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] |
help-9
|
b573a7f2558a43acb112f56e5739569f
|
197,374 |
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"id": 1000550520169173100,
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"content": "Available help channel!",
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},
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"timestamp": "07/23/2022 20:02:26",
"content": "can someone help💀",
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"id": 1000554181540720600,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:05:06",
"content": "angles SPR and SQR can be found easily since it’s a perpendicular triangle",
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"timestamp": "07/23/2022 20:05:18",
"content": "then you can use the sin theorem twice",
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"timestamp": "07/23/2022 20:06:13",
"content": "you probably need to use a calculator tho",
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"timestamp": "07/23/2022 20:06:28",
"content": "so for spr i would do sin(0)=6.3/31",
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"timestamp": "07/23/2022 20:06:30",
"content": "cuz those angles don’t look nice lol",
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"timestamp": "07/23/2022 20:06:44",
"content": "yea",
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:07:23",
"content": "we already know the other two angles tho",
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"timestamp": "07/23/2022 20:07:28",
"content": "31° and 90°",
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"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:07:40",
"content": "so angle SPR should be?",
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"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:08:16",
"content": "sin(0)=6.3/12 or am i wrong",
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"id": 1000555282033815600,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:09:28",
"content": "I don’t think so",
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"id": 1000555319514124300,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:09:37",
"content": "also, is 0 theta or zero?",
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"id": 1000555388296507500,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:09:53",
"content": "theta?",
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"id": 1000555418508075100,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:10:01",
"content": "idk",
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"id": 1000555505233698800,
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:10:21",
"content": "do you know trigonometry?",
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"id": 1000555586594816100,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:10:41",
"content": "im just starting trig",
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"id": 1000555623781515400,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:10:50",
"content": "highschool trig atleast",
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"id": 1000555631146713100,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:10:51",
"content": "do you know the sin theorem?",
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"id": 1000555653728829600,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:10:57",
"content": "yes",
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"id": 1000555726437105800,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:11:14",
"content": "could you tell me what the sin theorem is about?",
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"id": 1000555929202339800,
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"author_name": "pomme",
"timestamp": "07/23/2022 20:12:02",
"content": "no i only know how to use it for these type of things kinda",
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"id": 1000556177563848800,
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:13:02",
"content": "well, from what I can see, you need to review your course material",
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"id": 1000556489427128400,
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"author_name": "pomme",
"timestamp": "07/23/2022 20:14:16",
"content": "i thought it was sin(0)= opposite/hypotenuse",
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"id": 1000556548134801400,
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:14:30",
"content": "yep",
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"author_name": "pomme",
"timestamp": "07/23/2022 20:14:35",
"content": "so...",
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"id": 1000556571400601700,
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:14:36",
"content": "soh cah toa",
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"id": 1000556618452308000,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:14:47",
"content": "but I’m asking you to use the sine theorem",
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"timestamp": "07/23/2022 20:14:58",
"content": "",
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:15:52",
"content": "you need to find angles SPR and SQR first in order to use the theorem above",
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"id": 1000557165699932200,
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"author_name": "pomme",
"timestamp": "07/23/2022 20:16:57",
"content": "idk if that was introduced to us but ight",
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"id": 1000557495254794400,
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"timestamp": "07/23/2022 20:18:16",
"content": "ok",
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"id": 1000557655359754200,
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:18:54",
"content": "did you find them?",
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"id": 1000558560440238200,
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"timestamp": "07/23/2022 20:22:30",
"content": "no",
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"id": 1000558606795681800,
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"author_name": "pomme",
"timestamp": "07/23/2022 20:22:41",
"content": "im doing it rn",
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},
{
"id": 1000558744515645600,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:23:14",
"content": "i cant find them",
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"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:24:36",
"content": "angle SPR + 31° + 90° = 180°\nangle SQR + (31° + 12°) + 90° = 180°",
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"id": 1000559519237161100,
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"author_name": "pomme",
"timestamp": "07/23/2022 20:26:18",
"content": "so both are 180",
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},
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"id": 1000560756519080100,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:31:13",
"content": "no",
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{
"id": 1000560857236902000,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:31:37",
"content": "the sum of the interior angles of a triangle is 180 degrees",
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"id": 1000560900165615600,
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"author_name": "pomme",
"timestamp": "07/23/2022 20:31:48",
"content": "oh okay",
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"id": 1000560989953073200,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:32:09",
"content": "these are two equations that will help you find angles SPR and SQR",
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"id": 1000561061457559700,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:32:26",
"content": "⚠️",
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},
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"id": 1000561226201444500,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:33:05",
"content": "ok",
"attachments": [],
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},
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"id": 1000561950641631400,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:35:58",
"content": "so would you please find those angles for me?",
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"id": 1000561979003523100,
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"author_name": "HeadShotCem",
"timestamp": "07/23/2022 20:36:05",
"content": "I’m starting to think I’m wasting my time",
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},
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"id": 1000562042215870600,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:36:20",
"content": "yea u are",
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"id": 1000562088697147400,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:36:31",
"content": "thanks for the help",
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},
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"id": 1000562099958853600,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/23/2022 20:36:34",
"content": ".close",
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},
{
"id": 1000562101691109500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 20:36:34",
"content": "Channel closed",
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}
] |
help-9
|
7977527e94ad4c499b08d3b57a386bf1
|
197,375 |
[
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"timestamp": "07/23/2022 20:37:34",
"content": "Available help channel!",
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},
{
"id": 1000570200736927700,
"author_id": 951536697441652700,
"author_name": "Geo_Stellar",
"timestamp": "07/23/2022 21:08:45",
"content": "I have a question",
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},
{
"id": 1000570202628571100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 21:08:46",
"content": "Pinned a message.",
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"author_id": 951536697441652700,
"author_name": "Geo_Stellar",
"timestamp": "07/23/2022 21:09:01",
"content": "Does anyone know the the Ramanujan magic squares turned into series?",
"attachments": [],
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},
{
"id": 1000570286153937000,
"author_id": 951536697441652700,
"author_name": "Geo_Stellar",
"timestamp": "07/23/2022 21:09:05",
"content": "About*",
"attachments": [],
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},
{
"id": 1000570387593187300,
"author_id": 951536697441652700,
"author_name": "Geo_Stellar",
"timestamp": "07/23/2022 21:09:30",
"content": "And how he used the magic squares of a 3x3 for a series which describes a certain partition?",
"attachments": [],
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},
{
"id": 1000574163469205600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 21:24:30",
"content": "@Geo_Stellar Has your question been resolved?",
"attachments": [],
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"id": 1000584489828884500,
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"author_name": "Mathematics Bot",
"timestamp": "07/23/2022 22:05:32",
"content": "@Geo_Stellar Has your question been resolved?",
"attachments": [],
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"id": 1000599611280470000,
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"timestamp": "07/23/2022 23:05:37",
"content": "@Geo_Stellar Has your question been resolved?",
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"timestamp": "07/24/2022 00:05:37",
"content": "Channel closed",
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}
] |
help-9
|
f4d45fb1dc5944479d9be512fa7dabbc
|
197,376 |
[
{
"id": 1000614964463153200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 00:06:38",
"content": "Available help channel!",
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},
{
"id": 1000616730428711000,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:13:39",
"content": "I'm wishing to calculate the sum of the products of all subarrays of all non-unique orderings (so if length of array is N, then N! Orderings. Duplicates are counted.) of a given binary array. This needs to be a program.\n\nNow, I have an way to solve it, but but my program is incredibly slow. It is most likely due to the language being Python, and also it involves factorials, which is a recursive function, meaning it takes more time than usual, especially if the number of recursions tend to go large.",
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"timestamp": "07/24/2022 00:13:39",
"content": "Pinned a message.",
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"id": 1000616789782302700,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:13:53",
"content": "If it is not apparent what I am trying to solve - it's this.",
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"timestamp": "07/24/2022 00:17:12",
"content": "Let's take - 1 1 0 1.\n\nNow, we have 4! = 24 orderings.\n\nBut see that, only 4C1 = 4 types of unique orders exist. So, each type is repeated 6 times.\n\nNow, we take one array.\n\n1 1 0 1 for example.\n\nNow this specific array has 4(4+1)/2 = 10 subarrays.\n\n[1, 1, 0, 1], [1, 1, 0], [1, 1], [1], [1, 0, 1], [1, 0], [1], [0, 1], [0], [1].\n\nNow, we find the product of all numbers the subarrays, and sum them.\n\n0 + 0 + 1 + 1 + 0 + 0 + 1 + 0 + 0 + 1 = 4",
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"id": 1000617693147304000,
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"timestamp": "07/24/2022 00:17:28",
"content": "This would repeated 6 times. So, we get 24. \n\nSame thing happens for 1 0 1 1.",
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"id": 1000617766144983000,
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"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:17:46",
"content": "Now, 1 1 1 0 and 0 1 1 1 both give 6.",
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"id": 1000617840983932900,
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"timestamp": "07/24/2022 00:18:03",
"content": "Also repeated 6 times.",
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},
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"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:18:17",
"content": "Total sum = 6 * (4 + 4 + 6 + 6) = 120.",
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},
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"timestamp": "07/24/2022 00:20:46",
"content": "",
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"timestamp": "07/24/2022 00:20:58",
"content": "This was the approach, which is basically the translation of what I did here.",
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"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:21:21",
"content": "findFA(i) is the function to find the sum for one specific type of arrangement.",
"attachments": [],
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},
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"id": 1000618774728286200,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:21:46",
"content": "which is this",
"attachments": [
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"timestamp": "07/24/2022 00:22:33",
"content": "This was an optimized approach of just multiplying and adding everything, which I just noticed through dividing the binary arrays into segments through 0 as boundaries, and applied the sum of natural numbers on the 1s to get the sum.",
"attachments": [],
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"timestamp": "07/24/2022 00:23:45",
"content": "Example - 1 1 1 0 1 1 0 1 1\n\nfor the 1 1 1 -> 3(3+1)/2 = 6\n\n11 in middle = 2(2+1)/2 = 3\n\n11 in end = 3\n\nf(A) = 12",
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"id": 1000619448618721400,
"author_id": 510678173504241660,
"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:24:27",
"content": "This can be done because any binary arrays with 0s in them don't contribute to the sum, and discarding them saves a lot of computing time over recursive calls or iterations.",
"attachments": [],
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},
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"id": 1000619626847285400,
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"author_name": "rikusp2002",
"timestamp": "07/24/2022 00:25:09",
"content": "But, even with my new setup, the N! orderings are hard to do. Any ideas? Or even hints would be enough, I'll try to come up with something with the hints.",
"attachments": [],
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},
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"id": 1000623402597486700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 00:40:09",
"content": "@rikusp2002 Has your question been resolved?",
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"timestamp": "07/24/2022 00:55:10",
"content": "Channel closed",
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}
] |
help-9
|
851dc23c9d2347c780c0179f0bef100e
|
197,377 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 00:56:10",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 1000629061124628600,
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"content": "Pinned a message.",
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"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:02:45",
"content": "can anyone help me with this",
"attachments": [],
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},
{
"id": 1000629856901546000,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:05:48",
"content": "😭",
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},
{
"id": 1000630296896614500,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:07:33",
"content": "? anyone there?",
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"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:07:43",
"content": "@rikusp2002",
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"id": 1000631101498327000,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:10:45",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1000631323578351600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/24/2022 01:11:38",
"content": "what's the equation for center of mass",
"attachments": [],
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},
{
"id": 1000631674574475400,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:13:02",
"content": "i think 1/A integral from a to b f2(x)-g2(x)/2",
"attachments": [],
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},
{
"id": 1000631919832215700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/24/2022 01:14:00",
"content": "what's your a, b, A, f2 and g2 here?",
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},
{
"id": 1000631920822059100,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/24/2022 01:14:00",
"content": "!15min",
"attachments": [],
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},
{
"id": 1000631921971314700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 01:14:01",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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},
{
"id": 1000631983552073700,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/24/2022 01:14:15",
"content": "Maybe read???",
"attachments": [],
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},
{
"id": 1000632248669843500,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:15:18",
"content": "0，8",
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},
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"id": 1000632311353716900,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:15:33",
"content": "and x^3/2",
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},
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"id": 1000632351308664800,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:15:43",
"content": "sry, 2/3",
"attachments": [],
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},
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"id": 1000632524688601100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/24/2022 01:16:24",
"content": "look in your book/notes to be sure",
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"id": 1000632583064924200,
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"author_name": "riemann",
"timestamp": "07/24/2022 01:16:38",
"content": "you should have a formulas for the x and y-coordinates for center of mass",
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"author_name": "inneleh",
"timestamp": "07/24/2022 01:18:13",
"content": "",
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"id": 1000633416745762800,
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"author_name": "riemann",
"timestamp": "07/24/2022 01:19:57",
"content": "so do all the integrals?",
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},
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"id": 1000633429915881600,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:20:00",
"content": "10/7",
"attachments": [],
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},
{
"id": 1000633474123833300,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:20:11",
"content": "i calculate it and i think it 10/7?",
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"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:20:58",
"content": "and i got another question",
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"author_name": "inneleh",
"timestamp": "07/24/2022 01:21:08",
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"author_name": "inneleh",
"timestamp": "07/24/2022 01:21:24",
"content": "i don't know how to deal with it",
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},
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"id": 1000634517016551600,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:24:19",
"content": "@riemann ?",
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"id": 1000634777940013000,
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"timestamp": "07/24/2022 01:25:21",
"content": "?",
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"id": 1000634878599114900,
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"author_name": "riemann",
"timestamp": "07/24/2022 01:25:45",
"content": "uh just use definition",
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},
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"id": 1000634910492602500,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:25:53",
"content": "which?",
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},
{
"id": 1000634946039328800,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:26:02",
"content": "i didn't find it in the book",
"attachments": [],
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},
{
"id": 1000635187346030600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/24/2022 01:26:59",
"content": "definition of mean",
"attachments": [],
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},
{
"id": 1000635286805545100,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:27:23",
"content": "but we just know the probability?",
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},
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"id": 1000635492401938600,
"author_id": 963632656820629500,
"author_name": "inneleh",
"timestamp": "07/24/2022 01:28:12",
"content": "oh, i know",
"attachments": [],
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},
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"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 01:43:12",
"content": "@inneleh Has your question been resolved?",
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"timestamp": "07/24/2022 01:58:12",
"content": "Channel closed",
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}
] |
help-9
|
bad286a4076946df973275fb58a18db4
|
197,378 |
[
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"timestamp": "07/24/2022 02:23:37",
"content": "Available help channel!",
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},
{
"id": 1000656691286769700,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:52:26",
"content": "help",
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},
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"id": 1000656693518147700,
"author_id": 805217272087838700,
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"timestamp": "07/24/2022 02:52:27",
"content": "Pinned a message.",
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"id": 1000656708957372500,
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"timestamp": "07/24/2022 02:52:30",
"content": "pls",
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},
{
"id": 1000656970514169900,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "07/24/2022 02:53:33",
"content": "which one do u think it should be",
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"id": 1000657098796957700,
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"timestamp": "07/24/2022 02:54:03",
"content": "@shibs",
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"id": 1000657146612027400,
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"timestamp": "07/24/2022 02:54:15",
"content": "wait",
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},
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"id": 1000657186160123900,
"author_id": 714028322249769000,
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"timestamp": "07/24/2022 02:54:24",
"content": "D",
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"id": 1000657212605202400,
"author_id": 714028322249769000,
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"content": "?",
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"id": 1000657308759633900,
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"timestamp": "07/24/2022 02:54:53",
"content": "nope",
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"id": 1000657377835622400,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "07/24/2022 02:55:10",
"content": "2x + 10 + dx + 5d\nwhat are the commons u can pick from 2x +10",
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"id": 1000657423381569500,
"author_id": 701704062994743400,
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"timestamp": "07/24/2022 02:55:21",
"content": "first factor 2x + 10",
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},
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"id": 1000657465651761300,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:55:31",
"content": "2(x+5)",
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},
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"author_name": "sLoct",
"timestamp": "07/24/2022 02:55:34",
"content": "good",
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"timestamp": "07/24/2022 02:55:38",
"content": "This is called factor by grouping",
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"timestamp": "07/24/2022 02:55:44",
"content": "now dx + 5d",
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"id": 1000657550603198600,
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"author_name": "shibs",
"timestamp": "07/24/2022 02:55:51",
"content": "d(x+5)",
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"id": 1000657560816320500,
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"author_name": "shibs",
"timestamp": "07/24/2022 02:55:53",
"content": "ok",
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"timestamp": "07/24/2022 02:55:54",
"content": "good",
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"id": 1000657576624656400,
"author_id": 701704062994743400,
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"timestamp": "07/24/2022 02:55:57",
"content": "so",
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"id": 1000657608211972200,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "07/24/2022 02:56:05",
"content": "2(x+5)+d(x+5)",
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},
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"id": 1000657630513070100,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:56:10",
"content": "yes",
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},
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"id": 1000657669188759600,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:56:19",
"content": "Ohhh",
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},
{
"id": 1000657675442454700,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:56:21",
"content": "I see it now",
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},
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"id": 1000657708216758300,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "07/24/2022 02:56:28",
"content": "when\na(b+c)+d(b+c) = (a+d)(b+c)",
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"id": 1000657716907344000,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:56:31",
"content": "(d+2)(x+5)",
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},
{
"id": 1000657719512023200,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/24/2022 02:56:31",
"content": "?",
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},
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"id": 1000657749933314000,
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"timestamp": "07/24/2022 02:56:38",
"content": "yes correct",
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},
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"timestamp": "07/24/2022 02:56:48",
"content": "right ty",
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"id": 1000657821244870700,
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"author_name": "shibs",
"timestamp": "07/24/2022 02:56:55",
"content": ".close",
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},
{
"id": 1000657822528311300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 02:56:56",
"content": "Channel closed",
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}
] |
help-9
|
64f54b12337e44bbafa3de288e79ae69
|
197,379 |
[
{
"id": 1000659217033723900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 03:02:28",
"content": "Available help channel!",
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},
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"id": 1000659667971756000,
"author_id": 491595139966566400,
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"content": "hello?",
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},
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"timestamp": "07/24/2022 03:04:16",
"content": "Pinned a message.",
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"timestamp": "07/24/2022 03:04:19",
"content": "may i have soime help]",
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},
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"content": "part a",
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},
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"id": 1000660025573908500,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/24/2022 03:05:41",
"content": "What is area of a rectangle?",
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},
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"id": 1000660155186290700,
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"timestamp": "07/24/2022 03:06:12",
"content": "x x 2x",
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},
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"id": 1000660438406660100,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/24/2022 03:07:19",
"content": "?",
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},
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"id": 1000660500088094700,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/24/2022 03:07:34",
"content": "Yes",
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},
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"id": 1000660565884158000,
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"content": "yes",
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"author_id": 860399765883453600,
"author_name": "D3VC",
"timestamp": "07/24/2022 03:07:56",
"content": "Isn’t it a test?",
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"timestamp": "07/24/2022 03:08:01",
"content": "no its my textbook",
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"content": "u can literally check answer",
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"timestamp": "07/24/2022 03:08:30",
"content": "it does say exercise",
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"timestamp": "07/24/2022 03:08:30",
"content": "Ohh ebooks",
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"author_name": "cumquat",
"timestamp": "07/24/2022 03:08:46",
"content": "anyways can i have some help",
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},
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"id": 1000660832427970700,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/24/2022 03:08:53",
"content": "how do i do x x 2x in binomal",
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"id": 1000660963504177300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/24/2022 03:09:25",
"content": "can you not use 'x' for multiplication when we have x in an expression",
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},
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"id": 1000660985671077900,
"author_id": 373884980977336300,
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"timestamp": "07/24/2022 03:09:30",
"content": "it's confusing",
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"id": 1000661008232218800,
"author_id": 491595139966566400,
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"timestamp": "07/24/2022 03:09:35",
"content": "what do i usde",
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"content": "X(2X)",
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"content": "oh",
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"id": 1000661103753310300,
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"content": "yes",
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"timestamp": "07/24/2022 03:10:02",
"content": "ok now how do i do it",
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"id": 1000661121021251600,
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"timestamp": "07/24/2022 03:10:02",
"content": "$x\\cdot 2x$ is the total area of the rectangle",
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"id": 1000661130366177300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 03:10:04",
"content": "**Remavas**",
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"id": 1000661150410756100,
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"timestamp": "07/24/2022 03:10:09",
"content": "But, we have something cut out",
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"id": 1000661176188928000,
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"timestamp": "07/24/2022 03:10:15",
"content": "yes",
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},
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"id": 1000661195264626700,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/24/2022 03:10:20",
"content": "wait",
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"id": 1000661223546835000,
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"timestamp": "07/24/2022 03:10:27",
"content": "part a literally just asks you for the total area",
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"id": 1000661262486745100,
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"author_name": "cumquat",
"timestamp": "07/24/2022 03:10:36",
"content": "yes",
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},
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"id": 1000661294178910200,
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"timestamp": "07/24/2022 03:10:43",
"content": "well there you go",
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"id": 1000661329310384100,
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"author_name": "cumquat",
"timestamp": "07/24/2022 03:10:52",
"content": "ohj what the heck",
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"timestamp": "07/24/2022 03:10:54",
"content": "how do i do part b",
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"author_name": "cumquat",
"timestamp": "07/24/2022 03:11:48",
"content": "how do i do it in binomal products?",
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"timestamp": "07/24/2022 03:11:52",
"content": "cuz its the exercise",
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"id": 1000661680633684000,
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"timestamp": "07/24/2022 03:12:16",
"content": "well, we have the total area",
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"id": 1000661699826819200,
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"timestamp": "07/24/2022 03:12:20",
"content": "yes",
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"id": 1000661722815811700,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/24/2022 03:12:26",
"content": "it would be helpful to find the inner area, so we can easily subtract",
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"timestamp": "07/24/2022 03:12:52",
"content": "umm i dont know how to do that",
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"id": 1000661851731931100,
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"author_name": "cumquat",
"timestamp": "07/24/2022 03:12:56",
"content": "i need more info",
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"timestamp": "07/24/2022 03:13:02",
"content": "Can you find the length of this side?",
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"timestamp": "07/24/2022 03:13:15",
"content": "(the one in this weird reddish color I chose)",
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"id": 1000661940164640800,
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"author_name": "cumquat",
"timestamp": "07/24/2022 03:13:17",
"content": "oh is the bottom x - 10",
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"id": 1000662010285011000,
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"author_name": "Remavas",
"timestamp": "07/24/2022 03:13:34",
"content": "and the other one is?",
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"id": 1000662067285602400,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/24/2022 03:13:48",
"content": "2x - 10?",
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"id": 1000662108201038000,
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"author_name": "Remavas",
"timestamp": "07/24/2022 03:13:57",
"content": "And so the inner area is their product",
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"id": 1000662185439137800,
"author_id": 373884980977336300,
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"timestamp": "07/24/2022 03:14:16",
"content": "which is b",
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},
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"id": 1000662197531328500,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/24/2022 03:14:19",
"content": "ohh wait let me try set this out",
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"id": 1000662219782107100,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "07/24/2022 03:14:24",
"content": "(inner area = picture)",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/24/2022 03:14:27",
"content": "(a+b)(a+c) = a(a+c)+b(a+c) = a^2+ac+ab+bc",
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"content": "",
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"content": "?",
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"timestamp": "07/24/2022 03:16:17",
"content": "Correct",
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},
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"id": 1000662791239258100,
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"timestamp": "07/24/2022 03:16:40",
"content": "Yep, correct.",
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"timestamp": "07/24/2022 03:16:59",
"content": "ty guys",
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"content": ".close",
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help-9
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692cc20599164b6da3d02d2a584b4ea1
|
197,380 |
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"content": "If $|x|$ can be defined as $(x^2)^{\\frac{1}{2}}$ then can $|x+y|$ be defined as $(x^2 + y^2)^{\\frac{1}{2}}$?",
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"content": "No.",
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"content": "no, $x^2+y^2\\neq (x+y)^2$. Instead, $|x+y|=((x+y)^2)^{1/2}$",
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"content": "**Toby**",
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"content": "@Catematician @Toby thanks.",
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"timestamp": "07/24/2022 05:11:57",
"content": "A second question",
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"timestamp": "07/24/2022 05:13:20",
"content": "I wanted to apply the triangle inequality which is why I asked. Another question: in general, for $n>2$ does $(x^2)^{\\frac{1}{2}} + (y^2)^{\\frac{1}{2}} \\geq (x^2 + y^2)^{\\frac{1}{2}}$ hold? I've tested some values to see if it holds and will do a proof by induction to show this if it's true.",
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"timestamp": "07/24/2022 05:14:00",
"content": "**cashback**",
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"content": "is this for analysis? induction will only show it for x,y on the integers",
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"content": "It holds for any n, because n doesn't appear anywhere.",
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"timestamp": "07/24/2022 05:14:33",
"content": "My mistake, for $x,y > 1$",
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"content": "**cashback**",
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"content": "I only need this for integers.",
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"timestamp": "07/24/2022 05:15:05",
"content": "The proof is a one liner. Try to show it on your own.",
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"timestamp": "07/24/2022 05:16:11",
"content": "Thanks.",
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"author_name": "Toby",
"timestamp": "07/24/2022 05:16:13",
"content": "$|x|+|y|\\geq |x+y|=(x^2+2xy+y^2)^{1/2}> (x^2+y^2)^{1/2}$",
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"timestamp": "07/24/2022 05:16:16",
"content": "**Toby**",
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"timestamp": "07/24/2022 05:16:59",
"content": "Haha spoiler. But thanks, I appreciate the help.",
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"timestamp": "07/24/2022 05:17:01",
"content": ".close",
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"content": "Channel closed",
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help-9
|
92e64b03a3484c228b8be7fdc41eab5c
|
197,381 |
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"content": "Available help channel!",
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"id": 1000694309873537200,
"author_id": 695128414062903300,
"author_name": "earthquake",
"timestamp": "07/24/2022 05:21:55",
"content": "Could someone help me with this",
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"content": "Pinned a message.",
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"id": 1000694338415771600,
"author_id": 695128414062903300,
"author_name": "earthquake",
"timestamp": "07/24/2022 05:22:02",
"content": ",rotate ccw",
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"id": 1000694669707051000,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/24/2022 05:23:21",
"content": "Well what have you tried",
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"id": 1000694998964125700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 05:24:39",
"content": "||proving that 6^(1/2) < 3|| and then || proving that 6^(1/3) < 2|| might do the job",
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"timestamp": "07/24/2022 05:35:13",
"content": "I tried some am gm and realised that was stupid",
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"timestamp": "07/24/2022 05:40:17",
"content": "tysm i should be fine now",
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"timestamp": "07/24/2022 05:40:19",
"content": ".close",
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"timestamp": "07/24/2022 05:40:20",
"content": "Channel closed",
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] |
help-9
|
e1bc468959e34dd09c5d5a20ab0feca9
|
197,382 |
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"timestamp": "03/31/2022 13:37:09",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_name": "riemann",
"timestamp": "03/31/2022 13:58:10",
"content": "read this",
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"timestamp": "03/31/2022 14:04:18",
"content": "@Felicia Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
52b2d42cff9d4f9fa69c2cc5b179b8f8
|
197,383 |
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"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 05:41:20",
"content": "Available help channel!",
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"id": 1000702230694989800,
"author_id": 183668144404037630,
"author_name": "Ann",
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"content": "i'm probably having a brainfart but i can't reproduce the proof that if a random variable is almost never negative, and has a nonzero probability of being positive, then its expectation is positive\n\nspecifically i cannot justify to myself why P(X>0) > 0 implies the existence of a positive ε such that P(X>=ε) > 0, or **whether** such an ε always exists",
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"content": "Pinned a message.",
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"timestamp": "07/24/2022 05:56:01",
"content": "also to clarify this is not homework, this is just what my mind wandered to after helping another person",
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"id": 1000703155337707600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 05:57:04",
"content": "can't you split up the integral over the sets {X<0}, {X=0} and {X>0} ?. then the integral over the first is 0, the integral over the second doesn't matter and the last is positive",
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"id": 1000703227030929400,
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"timestamp": "07/24/2022 05:57:21",
"content": "but how do we know the last integral is positive",
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"timestamp": "07/24/2022 05:57:45",
"content": "hmm. maybe write {X>0} as the union of {X>1/n} ?",
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"id": 1000703859313881200,
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"content": "how do we know any of those has nonzero probability",
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"timestamp": "07/24/2022 06:00:05",
"content": "oh wait if they didn't then P(X>0) would be zero",
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"id": 1000703952096088000,
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"author_name": "Ann",
"timestamp": "07/24/2022 06:00:14",
"content": "🤪",
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"id": 1000704020643598300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:00:30",
"content": "feels unsatisfyingly nonconstructive tho",
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"id": 1000704301011845200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:01:37",
"content": "int x dP where P is the relevant probability measure",
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"author_name": "Ann",
"timestamp": "07/24/2022 06:04:44",
"content": "it's a lebesgue integral",
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"id": 1000705201394679800,
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"author_name": "Denascite",
"timestamp": "07/24/2022 06:05:12",
"content": "well depends on what you mean by regular integral. if you have a density with respect to the lebesgue measure you get the usual integral you know and love (i.e calc antiderivative and all that)",
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"timestamp": "07/24/2022 06:14:04",
"content": "0 generally counts as non-negative",
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"timestamp": "07/24/2022 06:14:07",
"content": "but not as positive",
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"id": 1000707562460688400,
"author_id": 107734446945337340,
"author_name": "Zef Klop 🍃 🌿 🌻",
"timestamp": "07/24/2022 06:14:35",
"content": "X > 0 is the union of X > 1, X > 1/2, X > 1/3, ....",
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"id": 1000707610103779300,
"author_id": 107734446945337340,
"author_name": "Zef Klop 🍃 🌿 🌻",
"timestamp": "07/24/2022 06:14:46",
"content": "if all of those on the right side had 0 probability of happening",
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"timestamp": "07/24/2022 06:14:53",
"content": "then P(X > 0) would also be 0",
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"author_name": "Zef Klop 🍃 🌿 🌻",
"timestamp": "07/24/2022 06:15:09",
"content": "because it's a increasing countable union so its probability is the limit of the probabilities on the right",
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"timestamp": "07/24/2022 06:15:43",
"content": "intersection?",
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"author_name": "Ann",
"timestamp": "07/24/2022 06:15:57",
"content": "you mean union surely",
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"author_name": "Zef Klop 🍃 🌿 🌻",
"timestamp": "07/24/2022 06:16:10",
"content": "uh yeah",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:16:22",
"content": "what do i look like to you, a fucking baguette?",
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"author_name": "Zef Klop 🍃 🌿 🌻",
"timestamp": "07/24/2022 06:16:25",
"content": "so increasing countable union*",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:17:08",
"content": "in French 0 is \"positif\" but not \"strictement positif\"",
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"author_name": "Ann",
"timestamp": "07/24/2022 06:17:38",
"content": "i, however, am not french",
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"id": 1000708349576355800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:17:42",
"content": "yes",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 06:18:20",
"content": "",
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"timestamp": "07/24/2022 06:18:48",
"content": "sure",
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"author_name": "Ann",
"timestamp": "07/24/2022 06:20:04",
"content": "anyway i think that does it for my question so",
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"timestamp": "07/24/2022 06:20:06",
"content": ".close",
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{
"id": 1000708953770045400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 06:20:06",
"content": "Channel closed",
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] |
help-9
|
1b193d4fcf1b4650ba5b7463b7bc2d95
|
197,384 |
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{
"id": 1000709207156326500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 06:21:07",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1000710452608766000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:26:04",
"content": "How do I show that a sequence is divergent?\nWe learned how to show that a sequence is convergent to a certain value using epsilon and N (showing that for all epsilon > 0, there exists N...)\nI was also able to use this definition and negate it, to get the definition for when the limit ISN'T a certain value.",
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"id": 1000710454676574200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 06:26:04",
"content": "Pinned a message.",
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"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:26:55",
"content": "A sequence is divergent if for all L (real number) there exists epsilon > 0 such that for all N (natural number) there exists n > N such that |a_n - L| >= epsilon.",
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"id": 1000710862601978000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:27:41",
"content": "So how do I use this to show that:\n$\\frac{(-1)^{n}*n + 1}{n + 2}$\nis divergent?",
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"author_name": "TeXit",
"timestamp": "07/24/2022 06:27:44",
"content": "**RedstonePlayz09**",
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"id": 1000710889906905200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:27:48",
"content": "the convergence definition using epsilons is nice to proof stuff but not great to actually use",
"attachments": [],
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},
{
"id": 1000710938523074600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:28:00",
"content": "Yes but I need to prove it that way.",
"attachments": [],
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},
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"id": 1000710986384294000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:28:11",
"content": "you need to use epsilons?",
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},
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"id": 1000710991371325600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:28:12",
"content": "hmm",
"attachments": [],
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},
{
"id": 1000711039924576300,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:28:24",
"content": "Yes, and without contradiction or any other stuff.",
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"id": 1000711077451022300,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:28:33",
"content": "Basically using this, I think",
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},
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"id": 1000711175790669800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:28:56",
"content": "well, do you know what this sequence essentially does?",
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"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:29:13",
"content": "I see that (-1)^n will alternate.",
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"id": 1000711249371353100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:29:14",
"content": "maybe tried graphing it or something?",
"attachments": [],
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},
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"id": 1000711284314099800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:29:22",
"content": "yes",
"attachments": [],
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},
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"id": 1000711330778595300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:29:33",
"content": "and where does it alternate?",
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},
{
"id": 1000711478938185700,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:30:08",
"content": "lemme check",
"attachments": [],
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},
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"id": 1000711645699510300,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:30:48",
"content": "1 and -1?",
"attachments": [],
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},
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"id": 1000711692990292000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:30:59",
"content": "because its either (n+1)/(n+2)",
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"id": 1000711711810134000,
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:31:04",
"content": "or (-n+1)/(n+2)",
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"id": 1000712275621056500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:33:18",
"content": "yes",
"attachments": [],
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},
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"id": 1000712325961097200,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:33:30",
"content": "so...",
"attachments": [],
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},
{
"id": 1000712385075626000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:33:44",
"content": "How do I show that this is true",
"attachments": [],
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},
{
"id": 1000712532480249900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:34:20",
"content": "you could for example show that the sequence a_2n converges to 1 using epsilons. using this you can show that a_n can't converge anywhere else",
"attachments": [],
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},
{
"id": 1000712599102558300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:34:35",
"content": "and then you show that a_(2n+1) converges to -1 to show a_n doesn't actually converge to 1",
"attachments": [],
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},
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"id": 1000712672347705500,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:34:53",
"content": "I don't think this is something that we covered though",
"attachments": [],
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},
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"id": 1000712740438036500,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:35:09",
"content": "I mean, it makes sense",
"attachments": [],
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},
{
"id": 1000712869572268200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:35:40",
"content": "you risk having points taken off for failing to parrot back exactly the things you were taught with no alteration?",
"attachments": [],
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"id": 1000712945069736000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:35:58",
"content": "yeah?",
"attachments": [],
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{
"id": 1000712981052653600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:36:07",
"content": "it says to prove it using epsilon and N",
"attachments": [],
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"id": 1000712992704438400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:36:09",
"content": "so your teacher is draconian",
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"id": 1000713079690109000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:36:30",
"content": "its just one question though. we'll cover everything in the end",
"attachments": [],
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},
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"id": 1000713243888726000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:37:09",
"content": "you can prove in the abstract, using epsilonics, the following lemma:\n\nlet (a_n) be a sequence such that its even subsequence (a_2n) approaches L. suppose also that (a_n) itself has a limit. then this limit equals L.",
"attachments": [],
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"id": 1000713362533003400,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:37:37",
"content": "It says not to prove it using contradiction",
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"id": 1000713415062462500,
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"author_name": "Ann",
"timestamp": "07/24/2022 06:37:50",
"content": "ok can you show the exact instructions",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:38:00",
"content": "not in english, but I'll translate",
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"id": 1000713475632414700,
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"author_name": "Ann",
"timestamp": "07/24/2022 06:38:04",
"content": "show the original",
"attachments": [],
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"id": 1000713495660208100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:38:09",
"content": "also tell us what language it is",
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"id": 1000713507949519000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:38:12",
"content": "hebrew",
"attachments": [],
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},
{
"id": 1000713528510005200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 06:38:17",
"content": "...right",
"attachments": [],
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:38:33",
"content": "there is a difference between contradiction and contrapositive",
"attachments": [],
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"id": 1000713635515080800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 06:38:43",
"content": "sadly a lot of people don't care about that difference",
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"author_name": "Ann",
"timestamp": "07/24/2022 06:38:45",
"content": "idk how they expect you to not involve contradiction at all",
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"author_name": "giannis_money",
"timestamp": "07/24/2022 06:39:47",
"content": "choose an epsilon",
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"author_name": "Syst3ms",
"timestamp": "07/24/2022 06:40:05",
"content": "And \"don't use contradiction\" is kind of vague, because you could argue intermediate results are actually proofs by contradiction or whatever",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:40:23",
"content": "why is this becoming an argument about the question",
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"id": 1000714060737822800,
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"author_name": "giannis_money",
"timestamp": "07/24/2022 06:40:24",
"content": "the smaller it is, them more sure you are that it works",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:40:48",
"content": "@giannis_money What do you mean",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:41:02",
"content": "I can choose an epsilon, but then what do I do with L and N?",
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"author_name": "Syst3ms",
"timestamp": "07/24/2022 06:41:23",
"content": "it's just because the restrictions make it much more cumbersome to prove than what non-students would do, but you're right, back to the question",
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"author_name": "Denascite",
"timestamp": "07/24/2022 06:41:46",
"content": "if L is not 1 or -1 you can choose epsilon = 1/2 min(|L-1|, |L+1|) or something and work with that",
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"author_name": "Denascite",
"timestamp": "07/24/2022 06:42:01",
"content": "and if L is 1 or -1 you choose epsilon = 1 I guess",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:42:22",
"content": "I'm confused",
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"author_name": "giannis_money",
"timestamp": "07/24/2022 06:42:26",
"content": "well show it satisfies the definition you found",
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"timestamp": "07/24/2022 06:42:35",
"content": "how, is the question",
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"content": "I tried thinking about it but couldn't see how",
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"content": "especially the N part",
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"content": "show that for all N, there exists n > N...",
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"content": "how do I show it for all N",
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"author_name": "Syst3ms",
"timestamp": "07/24/2022 06:43:32",
"content": "Do you have an intuitive idea of what the sequence looks like?",
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"content": "yes",
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"content": "i think epsilon = 1/2 works",
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"content": "alternates between 1 and -1",
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"content": "true",
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"timestamp": "07/24/2022 06:43:55",
"content": "1/3, just to be safe from 0",
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"timestamp": "07/24/2022 06:43:56",
"content": "ok so",
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"content": "we choose epsilon = 1/2",
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"timestamp": "07/24/2022 06:44:38",
"content": "And L some real number",
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"content": "What you want to show is that no matter how far you go, you can always find new terms that are at a distance greater than ε from L",
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"timestamp": "07/24/2022 06:45:14",
"content": "That's what the big N part means",
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"timestamp": "07/24/2022 06:45:17",
"content": "okay",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:45:59",
"content": "$\\abs{\\frac{(-1)^{n}*n + 1}{n + 2} - L} \\geq \\frac{1}{2}$",
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"timestamp": "07/24/2022 06:46:05",
"content": "rip",
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"author_name": "RedstonePlayz09",
"timestamp": "07/24/2022 06:46:24",
"content": "we gotta show this",
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"author_name": "giannis_money",
"timestamp": "07/24/2022 06:46:32",
"content": "is there tho? if A implies B and B is false then by the contrapositive, A is also false, which is the same as a contradiction?",
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"timestamp": "07/24/2022 06:47:26",
"content": "I'll answer you in another channel",
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"author_name": "TeXit",
"timestamp": "07/24/2022 06:47:33",
"content": "**RedstonePlayz09**",
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"timestamp": "07/24/2022 06:47:38",
"content": "I don't mind, u can answer here",
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"author_name": "Denascite",
"timestamp": "07/24/2022 06:50:01",
"content": "well in a proof by contradiction you assume A and not(B) and arrive at some contradiction. in a proof by contrapositive you assume not(B) and arrive at not(A). often a proof by contrapositive is instead phrased as \"assume A and not(B), then get not(A), but (A and not(A)) is contradiction so we are done.\" but actually often you didn't need to assume A until the last step where you needed that (A and not(A)) is a contradiction",
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"content": "I have to go now, I'll continue later",
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"timestamp": "07/24/2022 06:53:36",
"content": "thanks",
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"content": ".close",
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"id": 1000717405032546300,
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"timestamp": "07/24/2022 06:53:41",
"content": "Channel closed",
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}
] |
help-9
|
cc8492eda03140c3a60796a0e90776c4
|
197,385 |
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"timestamp": "07/24/2022 06:54:42",
"content": "Available help channel!",
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},
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"id": 1000719030975471600,
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"content": "Pinned a message.",
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"timestamp": "07/24/2022 07:05:30",
"content": "use crt?",
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"id": 1000720621321330700,
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"author_name": "Catfish hunter",
"timestamp": "07/24/2022 07:06:28",
"content": "Hello guys can you help me with Stability and function graphs",
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"id": 1000720813776982000,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "07/24/2022 07:07:14",
"content": "#❓how-to-get-help",
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"timestamp": "07/24/2022 07:07:44",
"content": "Ok",
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"content": "@kishblockpro Has your question been resolved?",
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] |
help-9
|
de3c8fb751fc41cd8206a16d7b125bd7
|
197,386 |
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"timestamp": "07/24/2022 07:21:57",
"content": "Hello, can someone help me solve this inequality? I've tried substituting but I still couldn't reach the answer",
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"content": "Pinned a message.",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/24/2022 07:22:39",
"content": "are you asking how to show $\\frac{a}{a+1} < \\frac{a+1}{a+2} < \\frac{a+2}{a+3}$?",
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"content": "**Ann**",
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"timestamp": "07/24/2022 07:36:57",
"content": "@IntoTheShadow Has your question been resolved?",
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"timestamp": "07/24/2022 07:37:28",
"content": "No, I have to show the other line",
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"timestamp": "07/24/2022 08:02:36",
"content": "right",
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"id": 1000734814598594600,
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"timestamp": "07/24/2022 08:02:52",
"content": "then perhaps say 2005/2006 < 2007/2008, and 2002/2003 < 2006/2007, and so on....",
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"timestamp": "07/24/2022 08:03:10",
"content": "so that in the end you have that the product is less than _something_/2009",
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"timestamp": "07/24/2022 08:03:20",
"content": "or. wait. that may not work actually",
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"id": 1000735155125760000,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:04:13",
"content": "Hint: take product 1...2008 over 2...2009, break that into three sub-products...",
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"timestamp": "07/24/2022 08:12:12",
"content": "(or maybe up to 2010 over 2011 -- gotta write it down)",
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"timestamp": "07/24/2022 08:16:30",
"content": "Can explain further if you want... Lemme know.",
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"timestamp": "07/24/2022 08:26:30",
"content": "@IntoTheShadow Has your question been resolved?",
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"timestamp": "07/24/2022 08:29:47",
"content": "Hmm, so you say that I should write that as 3 products? Like the first one will be 1...670/2...671",
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"timestamp": "07/24/2022 08:30:55",
"content": "Nope, break into three products, of which one is the thing you want. The other two take terms interleaved with the product you want. I can write out in a sec if that didn't help.",
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"timestamp": "07/24/2022 08:31:59",
"content": "First (yours) is 1/2 * 4/5 * ...",
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"timestamp": "07/24/2022 08:32:52",
"content": "Next is 2/3 * 5/6 * ..., and third is 3/4 * 6/7 * ...",
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"timestamp": "07/24/2022 08:34:16",
"content": "(on phone or I'd latex)",
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"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:40:18",
"content": "And if I multiply all three sub products I will get P=1/2009, where P is their product",
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"timestamp": "07/24/2022 08:40:29",
"content": "But, is that helpful?",
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"timestamp": "07/24/2022 08:40:50",
"content": "Yes!",
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"id": 1000744510042673200,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:41:24",
"content": "What's the cube root of 1/2009, and which of the three products is smallest?",
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"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:42:01",
"content": "Well, the first one is my smallest",
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"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:42:07",
"content": "(to get it exactly right each of the three products should have the same number of terms, so you'll have to go a bit past 2009.)",
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"timestamp": "07/24/2022 08:42:17",
"content": "So P^3<1/2009",
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"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:42:32",
"content": "And then i take the cube root",
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"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:42:41",
"content": ":D",
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"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:43:05",
"content": "Ah w8",
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"id": 1000745266292461600,
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"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:44:24",
"content": "So then P=1/2011",
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"id": 1000745320503840800,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:44:37",
"content": "And my first one is the smallest",
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},
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"id": 1000745557964374000,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:45:33",
"content": "P meaning the first product? Or all three combined?",
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},
{
"id": 1000745589102878700,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:45:41",
"content": "All three combined",
"attachments": [],
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},
{
"id": 1000745653556760600,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:45:56",
"content": "Ah, then yeah, that's right.",
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},
{
"id": 1000745732019601500,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:46:15",
"content": "Clear why the first is smallest ya?",
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},
{
"id": 1000745866199564300,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:46:47",
"content": "Well, because a/a+1<a+1/a+2<a+2/a+3",
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},
{
"id": 1000745931991416800,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:47:03",
"content": "Yeah!",
"attachments": [],
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},
{
"id": 1000746026682036200,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:47:25",
"content": "And all the terms in the three products line up like that.",
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},
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"id": 1000746661838065700,
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"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:49:57",
"content": "So then just a question of the last detail: why the first product is less than 1/12. That bit ok?",
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"id": 1000747731582718000,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:54:12",
"content": "Well, because 1/2<2/3<3/4... 2008/2009<2009/2010<2010/2011",
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},
{
"id": 1000747935904051300,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:55:00",
"content": "So then my first product times my first product times my first product will be<1/2011?",
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},
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"id": 1000748313869557800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 08:56:31",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
a25e9f00e26741a9b92e9ba89d38fc1e
|
197,387 |
[
{
"id": 1000748379111948300,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:56:46",
"content": ".reopen",
"attachments": [],
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"reference": null
},
{
"id": 1000748383868309600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 08:56:47",
"content": "✅",
"attachments": [],
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},
{
"id": 1000748980013125800,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 08:59:09",
"content": "I'd say: the first times the second times the third is equal to 1/2011. But since the first one is less than the other two, that shows the first one cubed is less than 1/2011. Probably wise to give these things names, btw.",
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},
{
"id": 1000749082593198100,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:59:34",
"content": "Yeah, well what i said there is",
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"reference": null
},
{
"id": 1000749158656909400,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 08:59:52",
"content": "that if A is my first product",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749201791139800,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:00:02",
"content": "The AxAxA<1/2011",
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},
{
"id": 1000749235030982700,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:00:10",
"content": "A^3<1/2011",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749293654790300,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:00:24",
"content": "Because my P = 1/2011",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749353717211100,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:00:38",
"content": "And A is less then the other 2 products",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749398336217100,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:00:49",
"content": "So thus A^3<1/2011",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749499607691300,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:01:13",
"content": "So A<1/12",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749563772141700,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:01:29",
"content": "Right?",
"attachments": [],
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"reference": null
},
{
"id": 1000749662036312200,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 09:01:52",
"content": "Yeah that does it. :)",
"attachments": [],
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"reference": null
},
{
"id": 1000749703211778000,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:02:02",
"content": "I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000749945667731500,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:03:00",
"content": "Yeah, it makes sense now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000750124349268000,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:03:42",
"content": "Thank you!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000750260689305600,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:04:15",
"content": "Have a great day!❤️",
"attachments": [],
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"reference": null
},
{
"id": 1000750271779057700,
"author_id": 708739740148564000,
"author_name": "IntoTheShadow",
"timestamp": "07/24/2022 09:04:17",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1000750273523884000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 09:04:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
326c913a0736406e99dc6ab3db4ba063
|
197,388 |
[
{
"id": 1000750646158434300,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/24/2022 09:05:47",
"content": "👍",
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},
{
"id": 1000755334815699100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 09:24:24",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1000771228862255100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 10:27:34",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1000771226295357600,
"channelId": 486844875632017400,
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}
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{
"id": 1000772383126323200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 10:32:09",
"content": "**Kepe**",
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{
"id": 1000773035294478300,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 10:34:45",
"content": "How do you define the median?",
"attachments": [],
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},
{
"id": 1000775497002799200,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 10:44:31",
"content": "How do you justify the 2nd line",
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"id": 1000776267555148000,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 10:47:35",
"content": "Yes, start with what you know and try not to jump to conclusions from the picture",
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},
{
"id": 1000776331455385700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 10:47:50",
"content": "AD = DC. Do u agree?",
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},
{
"id": 1000779660277321700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 11:01:04",
"content": "@Kepe Has your question been resolved?",
"attachments": [],
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"timestamp": "07/24/2022 11:34:03",
"content": "@Kepe Has your question been resolved?",
"attachments": [],
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{
"id": 1000792571024506900,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/24/2022 11:52:22",
"content": "If the lines are perpendicular, what must be true",
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"timestamp": "07/24/2022 12:34:07",
"content": "@Kepe Has your question been resolved?",
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"timestamp": "07/24/2022 13:34:04",
"content": "Channel closed",
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}
] |
help-9
|
afcb67c52ae04c59a03028c630d762fb
|
197,389 |
[
{
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"timestamp": "07/24/2022 13:35:04",
"content": "Available help channel!",
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},
{
"id": 1000820311576543400,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:42:36",
"content": "",
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"content": "Pinned a message.",
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"id": 1000820342983512000,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:42:44",
"content": "i need to find determinant",
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},
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"id": 1000820378135974000,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:42:52",
"content": "i am confused on how this is 46",
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},
{
"id": 1000820436243861600,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:43:06",
"content": "i got 24+2+24 = 50",
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},
{
"id": 1000820621325906000,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:43:50",
"content": "2(12) + 1 (20-18) + 3(-8)",
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},
{
"id": 1000821779721371800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:48:26",
"content": "close, but the formula is",
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{
"id": 1000821870595149800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:48:48",
"content": "therefore, the middle term b(di - fg) is negative",
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},
{
"id": 1000821962752413800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:49:10",
"content": "and the last term has c which is -3 not 3",
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},
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"id": 1000821981819699300,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:49:14",
"content": "no mater how i rearrange the number i wont get 46",
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},
{
"id": 1000822117127954400,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:49:47",
"content": "one of these is wrong 24 , 2 , 24",
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"id": 1000822291023794200,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:50:28",
"content": "what I found was 2(12) - 1(2) + (-3)(-8)",
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},
{
"id": 1000822317422747800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:50:34",
"content": "which is 46",
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},
{
"id": 1000822351539228700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:50:42",
"content": "I think you just messed up the signs",
"attachments": [],
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},
{
"id": 1000822501804347500,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:51:18",
"content": "24-2+24",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000822512915058700,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:51:21",
"content": "faceplam",
"attachments": [],
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"reference": null
},
{
"id": 1000822526735290500,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:51:24",
"content": ".close",
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"reference": null
},
{
"id": 1000822528434000000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 13:51:25",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
1ccf8fbd1f614a1e8d32127300b5d289
|
197,390 |
[
{
"id": 1000822549791375600,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:51:30",
"content": "thnkd",
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},
{
"id": 1000822561275392000,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/24/2022 13:51:32",
"content": "thanks",
"attachments": [],
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"reference": null
},
{
"id": 1000822572650348700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/24/2022 13:51:35",
"content": "lol np",
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},
{
"id": 1000822837067645000,
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"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 13:52:38",
"content": "Available help channel!",
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},
{
"id": 1000832253376606300,
"author_id": 423476992319422460,
"author_name": "Shreader87",
"timestamp": "07/24/2022 14:30:03",
"content": "which of these two is decreasing, the g(x) one right?",
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"timestamp": "07/24/2022 14:30:04",
"content": "Pinned a message.",
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"id": 1000832392753315800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/24/2022 14:30:36",
"content": "yes it is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000836029198123100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 14:45:03",
"content": "@Shreader87 Has your question been resolved?",
"attachments": [],
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"id": 1000839804818313300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 15:00:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c6787798ce9c456b9ac2047af2d2d221
|
197,391 |
[
{
"id": 1000861603530543100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:26:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862136374935600,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:28:48",
"content": "anyone that is a mathematical professor around",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862138488869000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:28:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1000862136374935600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1000862229299736700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/24/2022 16:29:10",
"content": "you'll be hard pressed to find one in a help channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862229538799600,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:29:10",
"content": "",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862339928690700,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:29:36",
"content": "then where i find them?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862381930467500,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:29:46",
"content": "Are you sure you can't just ask your question straight away",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862387894767700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/24/2022 16:29:48",
"content": "for what reason",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862447705530600,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:30:02",
"content": "to rp with",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862514696954000,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:30:18",
"content": "that caught me off guard",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862605759496200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/24/2022 16:30:40",
"content": "uh yeah what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862646037397600,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:30:49",
"content": "so how to find?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862811049693300,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:31:29",
"content": "oh wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862845573017700,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:31:37",
"content": "it opened a help channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862851252101100,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:31:38",
"content": "lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862869753167900,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:31:43",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000862871376379900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:31:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4518dbf7f4644d539bad91513ab3f273
|
197,392 |
[
{
"id": 1000862919690563700,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:31:55",
"content": "I don't think \"finding people to rp with\" is the vocation of this server @Empress Senkora",
"attachments": [],
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},
{
"id": 1000862989668323300,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:32:11",
"content": "It's probably not explicitly against the rules, but... kinda weird imo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863086573523000,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:32:34",
"content": "well where else would i find a perfect moriarty...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863297379246200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/24/2022 16:33:25",
"content": "not here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863309785989200,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:33:28",
"content": "this is not the place for that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863347434070300,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:33:37",
"content": "not helping",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863348029661200,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:33:37",
"content": "go somewhere else lest mods get involved",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863471778410600,
"author_id": 872421627265163300,
"author_name": "Empress Senkora",
"timestamp": "07/24/2022 16:34:06",
"content": "where?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863577151909900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/24/2022 16:34:31",
"content": "anywhere but a maths help server",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863666029203600,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:34:53",
"content": "this is not the place to look for people to rp with, period",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863743992942700,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:35:11",
"content": "we don't have to indulge that request",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000863776171634800,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/24/2022 16:35:19",
"content": "next time i'm pinging mods",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000864663032058000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:38:50",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000866422320283600,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:45:50",
"content": "What is it asking to do?",
"attachments": [
{
"id": 1000866420529307800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1000866420529307790/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 1357
},
{
"id": 1000866420894208000,
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"fileName": "unknown.png",
"fileSizeBytes": 2925
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],
"mentions": [],
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},
{
"id": 1000866424597790700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:45:50",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1000866422320283600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1000866792849281000,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:47:18",
"content": "i think its operations to functions or sumething?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867165391552600,
"author_id": 954105528932507600,
"author_name": "mhdi",
"timestamp": "07/24/2022 16:48:47",
"content": "g",
"attachments": [],
"mentions": [
{
"id": 423476992319422460,
"name": "Shreader87",
"discriminator": "5787",
"nickname": "Shreader87",
"isBot": false
}
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},
{
"id": 1000867263131435000,
"author_id": 954105528932507600,
"author_name": "mhdi",
"timestamp": "07/24/2022 16:49:10",
"content": "you multiply the first side f with 4",
"attachments": [],
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{
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],
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},
{
"id": 1000867304017494100,
"author_id": 954105528932507600,
"author_name": "mhdi",
"timestamp": "07/24/2022 16:49:20",
"content": "multiply the other also wit 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867398628409300,
"author_id": 954105528932507600,
"author_name": "mhdi",
"timestamp": "07/24/2022 16:49:43",
"content": "it give u 8x^2 - 12x + 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867417750253600,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:49:47",
"content": "do i multipy everything on the right side by 4?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867440936353800,
"author_id": 954105528932507600,
"author_name": "mhdi",
"timestamp": "07/24/2022 16:49:53",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 736340935591592100,
"name": "Watch_Your_Six",
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}
],
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},
{
"id": 1000867447429140500,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:49:54",
"content": "ok thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867494849941500,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:50:05",
"content": "bruh this is so annoying",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867512122085400,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:50:10",
"content": "how do i close the channel*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000867749221892200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/24/2022 16:51:06",
"content": "Write .close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000868217511739400,
"author_id": 736340935591592100,
"author_name": "Watch_Your_Six",
"timestamp": "07/24/2022 16:52:58",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000868219415961700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:52:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e2b6d6f411be4fb0afa1c65aee213a7b
|
197,393 |
[
{
"id": 959155194527113300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 14:20:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959156082901672000,
"author_id": 605717874383913000,
"author_name": "omer",
"timestamp": "03/31/2022 14:23:50",
"content": "i need help with this function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959156084914929700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 14:23:50",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 959156082901672000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 959156087108534300,
"author_id": 605717874383913000,
"author_name": "omer",
"timestamp": "03/31/2022 14:23:51",
"content": "$f(x)=\\frac{x-2a}{x^2}\\]",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959156139424112600,
"author_id": 605717874383913000,
"author_name": "omer",
"timestamp": "03/31/2022 14:24:03",
"content": "awh fuck i suck at latex",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959156399055732700,
"author_id": 605717874383913000,
"author_name": "omer",
"timestamp": "03/31/2022 14:25:05",
"content": ".cose",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959156404638339100,
"author_id": 605717874383913000,
"author_name": "omer",
"timestamp": "03/31/2022 14:25:07",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959156406370566100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 14:25:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
35db90ebd07c49d187eade216168bdeb
|
197,394 |
[
{
"id": 1000868953536614500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 16:55:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000872451946848300,
"author_id": 714553878837985300,
"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 17:09:47",
"content": "if $n\\nmid p$, does that definetly mean that $n \\neq p$?",
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"mentions": [],
"reference": null
},
{
"id": 1000872454421495900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 17:09:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1000872451946848300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1000872462801715300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 17:09:50",
"content": "**Ars Gratia**",
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},
{
"id": 1000872799541395600,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/24/2022 17:11:10",
"content": "yes, because p|p",
"attachments": [],
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"reference": null
},
{
"id": 1000874225562820700,
"author_id": 714553878837985300,
"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 17:16:50",
"content": "ok, then how do I add exceptions in set builder notation",
"attachments": [],
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},
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"id": 1000874323533365200,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 17:17:14",
"content": "exceptions to what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1000874449899356300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/24/2022 17:17:44",
"content": "that depends on what you're trying to say, usually you can just say something like {x : x is what I want, but not this}",
"attachments": [],
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},
{
"id": 1000874754565222500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "07/24/2022 17:18:56",
"content": "like, x is a non-integer between 0 and 2 would be $\\{x\\mid 0<x<2,\\text{ and } x\\neq 1\\}$",
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},
{
"id": 1000874766581903400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 17:18:59",
"content": "**Zybikron**",
"attachments": [
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},
{
"id": 1000874818406731800,
"author_id": 714553878837985300,
"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 17:19:12",
"content": "Im trying to say: n is a whole number such that n is not divisible by 2, 3, and 5, but/except 2, 3, and 5 are elements of this set themselves",
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"id": 1000875581937815700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 17:22:14",
"content": "you can use and/or",
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},
{
"id": 1000875648660803700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/24/2022 17:22:30",
"content": "else, intersection/union with another set",
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},
{
"id": 1000877099017576600,
"author_id": 714553878837985300,
"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 17:28:15",
"content": "is there a symbol for or other than the logic symbol",
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"timestamp": "07/24/2022 17:30:44",
"content": "none that's commonly used other than the english symbol itself",
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"content": "ok",
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"author_name": "Eric Tao",
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"content": "do you mean $\\lor$",
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"author_name": "TeXit",
"timestamp": "07/24/2022 17:46:06",
"content": "**Eric Tao (he/him)**",
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"author_name": "Eric Tao",
"timestamp": "07/24/2022 17:46:22",
"content": "usually we just write the word \"or\" tbh",
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"author_name": "Eric Tao",
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"content": "easier to read",
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"content": "ok",
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"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 17:46:50",
"content": "what symbol is used to denote the set of prime numbers, is it just written as \"prime\"",
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"id": 1000881933854716000,
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"author_name": "Eric Tao",
"timestamp": "07/24/2022 17:47:28",
"content": "sometimes $\\mathbb P$",
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"author_name": "Eric Tao",
"timestamp": "07/24/2022 17:47:40",
"content": "dang it",
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"content": "$mathbb{P}$",
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"id": 1000882055346913300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 17:47:57",
"content": "**Eric Tao (he/him)**",
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"timestamp": "07/24/2022 17:48:00",
"content": "yea",
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"author_name": "TeXit",
"timestamp": "07/24/2022 17:48:00",
"content": "**Ars Gratia**",
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"content": "okop",
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"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 17:48:07",
"content": "i get it",
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"id": 1000885874587881500,
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"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 18:03:08",
"content": "@Ars Gratiae Has your question been resolved?",
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"timestamp": "07/24/2022 18:18:08",
"content": "Channel closed",
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}
] |
help-9
|
ba9675a474ef4c779e18ed460c30cd3f
|
197,395 |
[
{
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"author_name": "Ars Gratiae",
"timestamp": "07/24/2022 18:19:04",
"content": ".close",
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{
"id": 1000903989925249200,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:15:07",
"content": "why was the guy dividing by 2x in this u sub video?",
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"content": "Pinned a message.",
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"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:16:00",
"content": "here is the video at 1:12... https://www.youtube.com/watch?v=sdYdnpYn-1o&list=TLPQMjQwNzIwMjK-XKdk4EVcyQ&index=1",
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"id": 1000904451919450100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:16:57",
"content": "Because he needs to isolate dx",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:17:12",
"content": "So we can just replace dx with du/(2x)",
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},
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"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:17:53",
"content": "why? And what makes him able to do this?",
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"id": 1000904756128125000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:18:09",
"content": "Algebra",
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},
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"id": 1000905755735642200,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:22:08",
"content": "can you show me?",
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"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:26:23",
"content": "what algebra?",
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"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:29:57",
"content": "@Umbraleviathan are you online?",
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"id": 1000908341503070200,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:32:24",
"content": "oh no",
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},
{
"id": 1000908345433141200,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:32:25",
"content": "...",
"attachments": [],
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},
{
"id": 1000908456431198200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:32:51",
"content": "I was marauding someone in clash of clans",
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},
{
"id": 1000908479487299700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:32:57",
"content": "Isolation of terms",
"attachments": [],
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},
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"id": 1000908602804027500,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:33:26",
"content": "lol",
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"id": 1000908653789986800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:33:39",
"content": "$$u = x^2 + 5$$\n$$du = 2x dx$$\n$$\\frac{du}{2x} = dx$$",
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},
{
"id": 1000908672404303900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 19:33:43",
"content": "**Umbraleviathan**",
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"id": 1000908708626305000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/24/2022 19:33:52",
"content": "I don't know how rudimentary it can get",
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},
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"id": 1000910165438124000,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:39:39",
"content": "yeah",
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},
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"id": 1000910175139545200,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:39:41",
"content": "thanks",
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},
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"id": 1000912782973206500,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 19:50:03",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 19:50:04",
"content": "Channel closed",
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}
] |
help-9
|
d5705acd9b4f4274a3c3ff44dd0c12ff
|
197,396 |
[
{
"id": 1000913038221787100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 19:51:04",
"content": "Available help channel!",
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},
{
"id": 1000918029623906300,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/24/2022 20:10:54",
"content": "Is what this is equal to cos^2theta?",
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"timestamp": "07/24/2022 20:10:54",
"content": "Pinned a message.",
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{
"id": 1000918322960941200,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/24/2022 20:12:04",
"content": "Wym. It looks like a confirmed identity",
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"timestamp": "07/24/2022 20:12:24",
"content": "Yes but does it read cos2x or cos^2x",
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},
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"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/24/2022 20:12:39",
"content": "The left?",
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"id": 1000918489760010200,
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"timestamp": "07/24/2022 20:12:44",
"content": "Yes",
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"author_name": "% Openglobe %",
"timestamp": "07/24/2022 20:12:52",
"content": "It is cos(2x)",
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},
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"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/24/2022 20:13:12",
"content": "Usually people put parenthesis when this happens",
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"id": 1000918632357970000,
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"timestamp": "07/24/2022 20:13:18",
"content": "Not (cos(x))^2",
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"id": 1000918668772909200,
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"content": "It's cos(2x)",
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"id": 1000918706609737900,
"author_id": 846787067181662200,
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"timestamp": "07/24/2022 20:13:35",
"content": "That’s what’s on the left",
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"timestamp": "07/24/2022 20:13:44",
"content": "cos(2x)",
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"author_id": 846787067181662200,
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"timestamp": "07/24/2022 20:13:48",
"content": "Yes",
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"timestamp": "07/24/2022 20:13:57",
"content": "Sweet thank you",
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},
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"id": 1000918836113064100,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/24/2022 20:14:06",
"content": "👍🏼",
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},
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"id": 1000922574945009700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 20:28:58",
"content": "@caarson Has your question been resolved?",
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"id": 1000922606448410600,
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"timestamp": "07/24/2022 20:29:05",
"content": "Yuppp",
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"timestamp": "07/24/2022 20:29:06",
"content": "Channel closed",
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}
] |
help-9
|
7e340c3b69ab4ed680b72e02b23d7422
|
197,397 |
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"id": 1000922621753438200,
"author_id": 327641170597511200,
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"timestamp": "07/24/2022 20:29:09",
"content": "Thank you",
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},
{
"id": 1000922865417343100,
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"author_name": "kangaroo rat",
"timestamp": "07/24/2022 20:33:40",
"content": "At 1:41 in this video https://www.youtube.com/watch?v=sdYdnpYn-1o&list=TLPQMjQwNzIwMjK-XKdk4EVcyQ&index=1 what cancelled the x and how could 4x be divided by 2x?",
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"timestamp": "07/24/2022 20:33:41",
"content": "Pinned a message.",
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"author_name": "dldh06",
"timestamp": "07/24/2022 20:46:58",
"content": "Because it's a product, you can cancel stuff if it's getting multiplied",
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"timestamp": "07/24/2022 20:49:04",
"content": "4x isnt being multiplied",
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"timestamp": "07/24/2022 20:49:52",
"content": "It's $$\\int 4x [u]^3 \\frac{du}{2x}$$",
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"timestamp": "07/24/2022 20:49:55",
"content": "**dldh06**",
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"author_name": "dldh06",
"timestamp": "07/24/2022 20:50:06",
"content": "So yes, it's getting multiplied",
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"timestamp": "07/24/2022 20:54:14",
"content": "oh 4x multiplied by u",
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"timestamp": "07/24/2022 20:54:33",
"content": "how can it be cancelled when multiplied?",
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"timestamp": "07/24/2022 20:54:56",
"content": "It's also getting multiplied by du/2x",
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"author_name": "kangaroo rat",
"timestamp": "07/24/2022 20:55:12",
"content": "how?",
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"timestamp": "07/24/2022 20:55:27",
"content": "The entire expression is a product",
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"author_name": "kangaroo rat",
"timestamp": "07/24/2022 20:56:07",
"content": "there is only brackets around u so how?",
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"author_name": "dldh06",
"timestamp": "07/24/2022 20:56:16",
"content": "So?",
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"author_name": "dldh06",
"timestamp": "07/24/2022 20:56:51",
"content": "4x(3)2x is a product and there's only brackets around the 3",
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"author_name": "kangaroo rat",
"timestamp": "07/24/2022 20:58:08",
"content": "oh yea",
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"author_name": "kangaroo rat",
"timestamp": "07/24/2022 20:58:19",
"content": "so?",
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"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 20:58:25",
"content": "@dldh06",
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"author_name": "dldh06",
"timestamp": "07/24/2022 20:58:53",
"content": "Same logic as $2x(3)(\\frac{1}{2})$",
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"timestamp": "07/24/2022 20:58:56",
"content": "**dldh06**",
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"author_name": "dldh06",
"timestamp": "07/24/2022 20:59:05",
"content": "You can cancel the twos, right?",
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},
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"id": 1000930211942105200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/24/2022 20:59:18",
"content": "Also stop replying to every message and pinging me",
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},
{
"id": 1000931550524874800,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 21:04:38",
"content": "ok",
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},
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"id": 1000931604388139000,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 21:04:50",
"content": "lol i was just about to ping u",
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},
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"id": 1000931748525391900,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 21:05:25",
"content": "still dont get it can you explain that logic?",
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"id": 1000931982919860200,
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"author_name": "dldh06",
"timestamp": "07/24/2022 21:06:21",
"content": "Because it's all multiplied, you can do $$\\frac{(2x)(3)(1)}{2}$$",
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"timestamp": "07/24/2022 21:06:23",
"content": "**dldh06**",
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"timestamp": "07/24/2022 21:06:27",
"content": "And you can simplify the fraction",
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"id": 1000932039081603100,
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"author_name": "dldh06",
"timestamp": "07/24/2022 21:06:34",
"content": "By canceling the twos",
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"id": 1000932097776689200,
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"timestamp": "07/24/2022 21:06:48",
"content": "Basic multiplication with fractions",
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"author_name": "kangaroo rat",
"timestamp": "07/24/2022 21:07:47",
"content": "thanks",
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"id": 1000932359908118500,
"author_id": 953140475693514800,
"author_name": "kangaroo rat",
"timestamp": "07/24/2022 21:07:51",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 21:07:51",
"content": "Channel closed",
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] |
help-9
|
b175262a4349442d988c5096924f2ebd
|
197,398 |
[
{
"id": 1000973432940413000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/24/2022 23:51:03",
"content": "Available help channel!",
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"id": 1000974660592222200,
"author_id": 452786152358019100,
"author_name": "Orthonormal",
"timestamp": "07/24/2022 23:55:56",
"content": "Im looking at a proof of the one-step test for subgroups. The theorem states, let $H$ be a subset of a multiplicative group $G$. Then $H$ is a subgroup of $G$ iff $ab^{-1}\\in H$ for all $a,b\\in H$.",
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"content": "Pinned a message.",
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"id": 1000974673024135300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/24/2022 23:55:59",
"content": "**ALBERTO BALSAM**",
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"author_name": "Orthonormal",
"timestamp": "07/24/2022 23:56:22",
"content": "In the forward direction is it enough to say:",
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"id": 1000975018261495800,
"author_id": 452786152358019100,
"author_name": "Orthonormal",
"timestamp": "07/24/2022 23:57:21",
"content": "Suppose $H$ is a subgroup of $G$. Let $a,b\\in H$ be arbitrary. Then $1_H\\in H$ so $H\\neq \\emptyset$. Then $b^{-1}\\in H$ and since $H$ is closed under multiplication $ab^{-1}\\in H$",
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},
{
"id": 1000975367617646700,
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"timestamp": "07/24/2022 23:58:44",
"content": "**ALBERTO BALSAM**",
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:00:27",
"content": "@Orthonormal forward direction doesnt require showing H is nonempty",
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"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:00:38",
"content": "as said above u just need to show ab^-1 is in H",
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},
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"id": 1000976002094219300,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:01:16",
"content": "u didnt really justify why b^-1 is in H",
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},
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"id": 1000976549190844400,
"author_id": 452786152358019100,
"author_name": "Orthonormal",
"timestamp": "07/25/2022 00:03:26",
"content": "Since H is a group and $b\\in H$ isn't it guaranteed that $b^{-1}\\in H$?",
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"id": 1000976559617888400,
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"timestamp": "07/25/2022 00:03:29",
"content": "**ALBERTO BALSAM**",
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:04:53",
"content": "theres a more specific property of a subgroup that ensures b^-1 is in H",
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},
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"id": 1000977560466894800,
"author_id": 801208427820351600,
"author_name": "ABIsNotYoSanta",
"timestamp": "07/25/2022 00:07:27",
"content": "Hi Alberto",
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"author_name": "ABIsNotYoSanta",
"timestamp": "07/25/2022 00:07:31",
"content": "@Orthonormal",
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"author_id": 801208427820351600,
"author_name": "ABIsNotYoSanta",
"timestamp": "07/25/2022 00:07:34",
"content": "Are you a helper?",
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},
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:08:19",
"content": "@ABIsNotYoSanta pls dont ping others outside ur channel for help",
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"id": 1000978041545179300,
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"author_name": "Orthonormal",
"timestamp": "07/25/2022 00:09:22",
"content": "whicih property is that?",
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},
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"id": 1000978207660581000,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:10:01",
"content": "H is closed under inverses",
"attachments": [],
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},
{
"id": 1000978362950496400,
"author_id": 452786152358019100,
"author_name": "Orthonormal",
"timestamp": "07/25/2022 00:10:39",
"content": "as in if a is in H then a^-1 is H?",
"attachments": [],
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},
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"id": 1000978381006970900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:10:43",
"content": "yes",
"attachments": [],
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},
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"id": 1000978462108024800,
"author_id": 452786152358019100,
"author_name": "Orthonormal",
"timestamp": "07/25/2022 00:11:02",
"content": "is that not a property of any group? that each element has an inverse in the set",
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},
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"id": 1000978762738978800,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:12:14",
"content": "yes but its good to mention that here",
"attachments": [],
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},
{
"id": 1000978794603098100,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/25/2022 00:12:21",
"content": "similar to how u mention H is closed under *",
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},
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"id": 1000979120718622700,
"author_id": 452786152358019100,
"author_name": "Orthonormal",
"timestamp": "07/25/2022 00:13:39",
"content": "Ah ok",
"attachments": [],
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 00:28:39",
"content": "@Orthonormal Has your question been resolved?",
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"id": 1000986672109990000,
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"timestamp": "07/25/2022 00:43:40",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
aa7d414a3c66496a9fc6766b6fb52dad
|
197,399 |
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"content": "Available help channel!",
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},
{
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"author_name": "Jun♾",
"timestamp": "07/25/2022 01:54:38",
"content": "Can I get a hint here",
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"timestamp": "07/25/2022 01:54:39",
"content": "Pinned a message.",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "07/25/2022 01:56:07",
"content": "The sum 1 + x + x^2 + ... converges to 1/(1 - x) for |x| < 1",
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"content": "What is that 1/(1-x) ?",
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"id": 1001005142151278600,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "07/25/2022 01:57:03",
"content": "let x = ...?",
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"author_name": "A Lonely Bean",
"timestamp": "07/25/2022 01:57:18",
"content": "A fraction I suppose?",
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"timestamp": "07/25/2022 01:57:27",
"content": "I don't really see what confused you",
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"timestamp": "07/25/2022 01:57:36",
"content": "I meant as in how it converged to that",
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"timestamp": "07/25/2022 01:57:52",
"content": "the sum",
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"author_name": "A Lonely Bean",
"timestamp": "07/25/2022 01:58:36",
"content": "You can prove that result by taking the limit of the closed form of a geometric sum",
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"timestamp": "07/25/2022 01:58:45",
"content": "But that's irrelevant to this question",
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"timestamp": "07/25/2022 01:58:47",
"content": "Ah ok",
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"id": 1001005647061598300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "07/25/2022 01:59:04",
"content": "Pay attention that the sum converges for |x| < 1 for now",
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"id": 1001005676702728300,
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"timestamp": "07/25/2022 01:59:11",
"content": "Ok",
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"id": 1001005865031192600,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 01:59:56",
"content": "x= -2p?",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "07/25/2022 02:00:09",
"content": "Yes",
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"author_name": "Jun♾",
"timestamp": "07/25/2022 02:00:40",
"content": "ok",
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},
{
"id": 1001006127259062400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 02:00:58",
"content": "And I solve for p here I guess",
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"timestamp": "07/25/2022 02:01:17",
"content": "Yup",
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"timestamp": "07/25/2022 02:02:03",
"content": "Ok makes sense, thanks",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 02:02:17",
"content": ".close",
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},
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"id": 1001006458940428300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 02:02:17",
"content": "Channel closed",
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}
] |
help-9
|
9b135896af1f42788a432aec40ca49cc
|
197,400 |
[
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 02:04:41",
"content": "Available help channel!",
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},
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"id": 1001015899114975200,
"author_id": 456226577798135800,
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"content": "Pinned a message.",
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"id": 1001015929418813400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/25/2022 02:39:55",
"content": "What will be meshgrid??",
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},
{
"id": 1001016020183556100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/25/2022 02:40:17",
"content": "4 different values are given",
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},
{
"id": 1001016294621065200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/25/2022 02:41:22",
"content": "you're supposed to make a contour plot",
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},
{
"id": 1001016322215383000,
"author_id": 456226577798135800,
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"timestamp": "07/25/2022 02:41:29",
"content": "Yss",
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"id": 1001016331187007600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/25/2022 02:41:31",
"content": "look up matlab documentation for contour plots",
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},
{
"id": 1001016662281162800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/25/2022 02:42:50",
"content": "Sorry \nI don't get it",
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"id": 1001016833803043000,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/25/2022 02:43:31",
"content": "what is \"it\" referring to here?",
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"id": 1001016926572642400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/25/2022 02:43:53",
"content": "clearly my message was spoken in arcane rules incomprehensible to mere mortals",
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},
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"id": 1001017037021257700,
"author_id": 456226577798135800,
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"timestamp": "07/25/2022 02:44:19",
"content": "Hmm",
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"id": 1001017162229633000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/25/2022 02:44:49",
"content": ".close",
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},
{
"id": 1001017164242882600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 02:44:49",
"content": "Channel closed",
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}
] |
help-9
|
c3bfb4cd952e446a9e21de66d041b61a
|
197,401 |
[
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"timestamp": "07/25/2022 02:46:33",
"content": "Hmm",
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"timestamp": "07/25/2022 03:26:58",
"content": "Available help channel!",
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"id": 1001029420112416800,
"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "07/25/2022 03:33:31",
"content": "tried =",
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"timestamp": "07/25/2022 03:33:32",
"content": "Pinned a message.",
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"id": 1001029874305204200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/25/2022 03:35:20",
"content": "it is unclear what exactly constitutes a \"worst-case scenario\" or how you measure the badness of a scenario in the first place",
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"content": "also even if you have two black points that are sqrt(2) units apart, this has no bearing at all on the problem",
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"id": 1001030023198806000,
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"timestamp": "07/25/2022 03:35:55",
"content": "This was just my attempt on the question",
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"id": 1001030064772743200,
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"author_name": "sush",
"timestamp": "07/25/2022 03:36:05",
"content": "as I'm unsure of how to approach it",
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"id": 1001030212974301300,
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"timestamp": "07/25/2022 03:36:41",
"content": "consider an equilateral triangle of side length 1",
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"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "07/25/2022 03:39:02",
"content": "Would it be like this and then I woul dhave worded reasoning to support?",
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"timestamp": "07/25/2022 03:39:23",
"content": "you'd have worded reasoning to support it no matter what",
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"id": 1001030926429597700,
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"timestamp": "07/25/2022 03:39:31",
"content": "unless your teacher punishes you for having worded reasoning",
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"id": 1001030970650144800,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/25/2022 03:39:41",
"content": "two of the verticies should have the same colour",
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"id": 1001031029181657100,
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"author_name": "Jester",
"timestamp": "07/25/2022 03:39:55",
"content": "and any two verticies of it has distance of 1 unit",
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"id": 1001031310506217500,
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"author_name": "sush",
"timestamp": "07/25/2022 03:41:02",
"content": "Would it be because since there are 2 pigeonholes (colours) and 3 pigeons (points). By pigeonhole since 3>2 this enssures that there must be two points exactly 1 unit apart",
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"id": 1001031352772206700,
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"timestamp": "07/25/2022 03:41:12",
"content": "So my diagram is correct?",
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"id": 1001031439975985300,
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"timestamp": "07/25/2022 03:41:33",
"content": "is the pigeon hole dirhley",
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"timestamp": "07/25/2022 03:42:02",
"content": "dirhley?",
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"id": 1001031642384715800,
"author_id": 346288140610306050,
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"timestamp": "07/25/2022 03:42:21",
"content": "idk its called derhley in my language",
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"id": 1001032540058038300,
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"timestamp": "07/25/2022 03:45:55",
"content": "dirichlet",
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"author_name": "sush",
"timestamp": "07/25/2022 03:51:14",
"content": "how would you do b?",
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"id": 1001036527406690300,
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"author_name": "Smitology",
"timestamp": "07/25/2022 04:01:46",
"content": "If the size of the school is x, then x/2 students have one of 8 letters",
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},
{
"id": 1001036574470971400,
"author_id": 764687689886466000,
"author_name": "Smitology",
"timestamp": "07/25/2022 04:01:57",
"content": "that leaves the remaining 18 for the other x/2",
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},
{
"id": 1001036852242960400,
"author_id": 764687689886466000,
"author_name": "Smitology",
"timestamp": "07/25/2022 04:03:03",
"content": "If the school was of size higher than 16, then that would make it such that two people share initials right",
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"timestamp": "07/25/2022 04:08:04",
"content": "@sush Has your question been resolved?",
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"timestamp": "07/25/2022 04:23:04",
"content": "Channel closed",
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}
] |
help-9
|
3209000db1dd4b7c97bf2b703f9a31ca
|
197,402 |
[
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"timestamp": "07/25/2022 04:24:04",
"content": "Available help channel!",
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},
{
"id": 1001048838112559100,
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"content": "Pinned a message.",
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"timestamp": "07/25/2022 04:50:46",
"content": "I need help for the second part",
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},
{
"id": 1001049221782323300,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:52:13",
"content": "(8x10^6)1/3 is what I did for the next step",
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{
"id": 1001049289201549300,
"author_id": 483962566977126400,
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"timestamp": "07/25/2022 04:52:29",
"content": "(ab)^1/3 = a^1/3 b^1/3",
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},
{
"id": 1001049313201365000,
"author_id": 483962566977126400,
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"timestamp": "07/25/2022 04:52:34",
"content": "and",
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},
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"id": 1001049366221570200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 04:52:47",
"content": "(b^x)^y = b^xy",
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},
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"id": 1001049468076044400,
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"author_name": "MarveI",
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"content": "",
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"timestamp": "07/25/2022 04:53:28",
"content": "yes I get that",
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},
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"id": 1001049582500839400,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:53:39",
"content": "I got the answer 8x10^2",
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},
{
"id": 1001049645394440200,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:53:54",
"content": "but the correct answer is 2x10^2",
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{
"id": 1001049684598599700,
"author_id": 483962566977126400,
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"timestamp": "07/25/2022 04:54:03",
"content": "power of a product rule",
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},
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"id": 1001049755943702700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 04:54:20",
"content": "a and b gets the exponent",
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},
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"id": 1001049766358155400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 04:54:22",
"content": "not only b",
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},
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"id": 1001049810834555000,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:54:33",
"content": "so 8^1/3",
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"id": 1001049825866948600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 04:54:37",
"content": "yes",
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},
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"id": 1001049934293909600,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:55:02",
"content": "ah got it",
"attachments": [],
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},
{
"id": 1001050008814104600,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:55:20",
"content": "tyty",
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},
{
"id": 1001050035737338000,
"author_id": 771257868695240700,
"author_name": "Enma",
"timestamp": "07/25/2022 04:55:27",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1001050038060978200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 04:55:27",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
aac4b20f0bd94ecb9e953f702ffed064
|
197,403 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 05:00:43",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 1001052229106679900,
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"content": "Pinned a message.",
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"author_id": 294489930913284100,
"author_name": "Teehee",
"timestamp": "07/25/2022 05:04:29",
"content": "do i use before-after or after-before to find d?",
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"id": 1001054531150413800,
"author_id": 573905759134548000,
"author_name": "Nonna",
"timestamp": "07/25/2022 05:13:18",
"content": "What do you mean by before-after or after-before, is it because [after] > [before]?\nThink about it, the criminality rate went from a 5 to a 6, that means that the situation got worse, that means that the government's initiative wasn't at all successful in that area",
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"id": 1001054656669171700,
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"timestamp": "07/25/2022 05:13:48",
"content": "||the success rate should be negative||",
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"id": 1001055870337171500,
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"timestamp": "07/25/2022 05:18:38",
"content": "alright thanks i kinda get it now",
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},
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"id": 1001055898183159800,
"author_id": 573905759134548000,
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"timestamp": "07/25/2022 05:18:44",
"content": ":catthumbsup:",
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"content": ".close",
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},
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"id": 1001055919146287100,
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"content": "Channel closed",
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}
] |
help-9
|
793fb96b63534d768571a24a520d4e33
|
197,404 |
[
{
"id": 959158610221477900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 14:33:52",
"content": "Available help channel!",
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},
{
"id": 959159982069276800,
"author_id": 477823425893629950,
"author_name": "kattunge",
"timestamp": "03/31/2022 14:39:20",
"content": "to determine the geometric progression knowing that:",
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"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 14:54:20",
"content": "@kattunge Has your question been resolved?",
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"id": 959164269017071700,
"author_id": 477823425893629950,
"author_name": "kattunge",
"timestamp": "03/31/2022 14:56:22",
"content": "@Helpers what to start with I tried to write S3 as `b1 + b1 * q + b1 * q^2` and S4 and then I made a system, but it didn't work",
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},
{
"id": 959164335832301600,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 14:56:38",
"content": "2 variables 2 equations",
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},
{
"id": 959164482892988500,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 14:57:13",
"content": "",
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"id": 959164539679694800,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 14:57:26",
"content": "Just apply this for S3 and sr you'll get a and r",
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},
{
"id": 959164546252152800,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 14:57:28",
"content": "S4",
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},
{
"id": 959164702666133500,
"author_id": 477823425893629950,
"author_name": "kattunge",
"timestamp": "03/31/2022 14:58:05",
"content": "a",
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"id": 959164708554965100,
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"timestamp": "03/31/2022 14:58:06",
"content": "ok",
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},
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"id": 959164722509410400,
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"author_name": "kattunge",
"timestamp": "03/31/2022 14:58:10",
"content": "I'll try, ty",
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"timestamp": "03/31/2022 14:58:41",
"content": ".close",
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},
{
"id": 959164853807898600,
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"timestamp": "03/31/2022 14:58:41",
"content": "Channel closed",
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] |
help-9
|
06539874f3524e2b98f0c25c816c80eb
|
197,405 |
[
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"content": "Available help channel!",
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},
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"id": 1001057443788365800,
"author_id": 616880914135253000,
"author_name": "zo",
"timestamp": "07/25/2022 05:24:53",
"content": "can someone help me find x in this question 8^x =32 find x",
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},
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"content": "Pinned a message.",
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"timestamp": "07/25/2022 05:25:43",
"content": "Use the definition of log",
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},
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"id": 1001057764937842700,
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"timestamp": "07/25/2022 05:26:24",
"content": "Or do that ^",
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"author_name": "Nonna",
"timestamp": "07/25/2022 05:26:49",
"content": "@MayukhMF13 you shouldn't give answers away like that",
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"timestamp": "07/25/2022 05:26:57",
"content": "*this",
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"timestamp": "07/25/2022 05:27:08",
"content": "Wdym?",
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"content": ".close",
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},
{
"id": 1001058170728362000,
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"timestamp": "07/25/2022 05:27:46",
"content": "Channel closed",
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}
] |
help-9
|
13b00ae84c9542d285f42790f45ad70e
|
197,406 |
[
{
"id": 1001058191645356000,
"author_id": 616880914135253000,
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"timestamp": "07/25/2022 05:27:51",
"content": ".reopen",
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"id": 1001058196460404700,
"author_id": 805217272087838700,
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"timestamp": "07/25/2022 05:27:52",
"content": "✅",
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{
"id": 1001058334994075600,
"author_id": 573905759134548000,
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"timestamp": "07/25/2022 05:28:25",
"content": "We are supposed to help people understand what's going on, not give them the answers :what:",
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"content": "Ohk I will take care of this from now on👀",
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"timestamp": "07/25/2022 05:41:21",
"content": "can someone help me find x in this question 8^x =32 find x",
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"id": 1001061609675956400,
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"content": ".close",
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{
"id": 1001061611135582200,
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"content": "Channel closed",
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}
] |
help-9
|
53598ec82f7247d9b26612c045d47452
|
197,407 |
[
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"content": "Available help channel!",
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},
{
"id": 1001082003468341200,
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"id": 1001082012318314500,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:02:30",
"content": "how do I rationalize this",
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},
{
"id": 1001082121919676400,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:02:57",
"content": "the denominator",
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},
{
"id": 1001082170015764600,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:03:08",
"content": "with a binomial expression at the botto",
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"id": 1001082173195030700,
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"content": "m",
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},
{
"id": 1001082912843780200,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/25/2022 07:06:05",
"content": "2+sqrt(5)",
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},
{
"id": 1001083170097209300,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:07:06",
"content": "If the original question was 2+sqrt(5) would I do 2-sqrt(5)?",
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"id": 1001083185947496400,
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"author_name": "shibs",
"timestamp": "07/25/2022 07:07:10",
"content": "thanks",
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"timestamp": "07/25/2022 07:09:03",
"content": "so 24+12root5/1",
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},
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"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:09:04",
"content": "?",
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},
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"id": 1001083775238799500,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/25/2022 07:09:31",
"content": "sure",
"attachments": [],
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},
{
"id": 1001084869310423000,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:13:52",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001084870765854800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 07:13:52",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6b8577aafccc4c2089e027878d6d3247
|
197,408 |
[
{
"id": 1001085124877754400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 07:14:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001085201897750500,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:15:11",
"content": "Peter is making a short list of the applicants who applied for a job in his shop. He has five applications. If he may choose any number from zero to five to shortlist, how many possible lists does he have?\n.\nAnswer is 32, don't know if it''s correct, or if I just don't get it\nAlso this is Permutations or Combinations, I got 30, by multiplying the 5 applications to the 6 shortlists",
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{
"id": 1001085204066209900,
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"timestamp": "07/25/2022 07:15:11",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1001085201897750500,
"channelId": 486844875632017400,
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}
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{
"id": 1001087050545639400,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:22:32",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1001087636368269300,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:24:51",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001090354021413000,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:35:39",
"content": "its",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001090365744492700,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:35:42",
"content": "2^5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001090689838370800,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:36:59",
"content": "Oh",
"attachments": [],
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"reference": null
},
{
"id": 1001090698034024400,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:37:01",
"content": "Cwap",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001090733933088800,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:37:10",
"content": "But why",
"attachments": [],
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},
{
"id": 1001091061847949300,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:38:28",
"content": "https://www.youtube.com/watch?v=WRk049Nmrcg&t=26s",
"attachments": [],
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"reference": null
},
{
"id": 1001091403738263600,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:39:50",
"content": "formula",
"attachments": [],
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"reference": null
},
{
"id": 1001091463377068000,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:40:04",
"content": "its equivalent to counting the number of subsets of a set containing 5 distinct elements\nLet S = {A, B, C, D, E} be the set of applications",
"attachments": [],
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},
{
"id": 1001091514811813900,
"author_id": 714028322249769000,
"author_name": "shibs",
"timestamp": "07/25/2022 07:40:16",
"content": "he can choose any subset of this set and consider that a list\nwhich gives 2^5 subsets",
"attachments": [],
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},
{
"id": 1001094510375342100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 07:52:10",
"content": "@MasterChief™ Has your question been resolved?",
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"id": 1001095912732495900,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:57:45",
"content": "Sorry, I’m probably just too stupid to understand, I’ll probably ask a mate",
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},
{
"id": 1001095925487370200,
"author_id": 691539500450578400,
"author_name": "MasterChief™",
"timestamp": "07/25/2022 07:57:48",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001095927441924100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 07:57:48",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ce7824be99334df185e08034d51395cd
|
197,409 |
[
{
"id": 1001096181415411800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 07:58:49",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001096239644938200,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 07:59:03",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 07:59:03",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1001096266882760700,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 07:59:09",
"content": "how would i do this",
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},
{
"id": 1001096274705129500,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 07:59:11",
"content": "pls help",
"attachments": [],
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"reference": null
},
{
"id": 1001097190862762000,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/25/2022 08:02:49",
"content": "remember the properties of logarithm",
"attachments": [],
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},
{
"id": 1001097235569836000,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "07/25/2022 08:03:00",
"content": "show work",
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},
{
"id": 1001097544983654500,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 08:04:14",
"content": "would make it into a single log",
"attachments": [],
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},
{
"id": 1001097549547065300,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 08:04:15",
"content": "?",
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},
{
"id": 1001097576629678200,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/25/2022 08:04:21",
"content": "sure",
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},
{
"id": 1001097596514869200,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/25/2022 08:04:26",
"content": "just ****try****",
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},
{
"id": 1001097684444270700,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 08:04:47",
"content": "ok",
"attachments": [],
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},
{
"id": 1001097952376410200,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 08:05:51",
"content": "got it thanks",
"attachments": [],
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},
{
"id": 1001097958441369600,
"author_id": 346748700468707400,
"author_name": "grog",
"timestamp": "07/25/2022 08:05:52",
"content": ".close",
"attachments": [],
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},
{
"id": 1001097960228147300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 08:05:53",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
dde976c2bfd247658acf16c4ddf0e117
|
197,410 |
[
{
"id": 1001098767212228700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 08:09:05",
"content": "Available help channel!",
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},
{
"id": 1001099461256282100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 08:11:51",
"content": "Pinned a message.",
"attachments": [],
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"id": 1001099540583174300,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/25/2022 08:12:10",
"content": "this is my work",
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"id": 1001099703439610000,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/25/2022 08:12:48",
"content": "i also dont quite understand how I should do part b of question 2",
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},
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"id": 1001099768749097100,
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"timestamp": "07/25/2022 08:13:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
95fdb97926ce4fc881c202cd9edd589a
|
197,411 |
[
{
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"timestamp": "07/25/2022 08:13:59",
"content": "sorry I sent the wrong image for the question",
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{
"id": 1001101985262612500,
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 08:21:52",
"content": "Available help channel!",
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},
{
"id": 1001102198110945400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/25/2022 08:22:43",
"content": "Evaluating$\\lim_{x \\to +\\infty} (1-\\frac{3}{x})^x$ yields the indeterminate form $1^{+\\infty}$. Can I get a tip on manipulating this indeterminate form into $\\frac{0}{0}$ or $\\frac{+\\infty}{+\\infty}$? I know $\\ln(f(x)^{g(x)}) = g(x)\\cdot \\ln(f(x))$ so we can re-write the function as $x\\cdot\\ln(1-\\frac{3}{x})$",
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"timestamp": "07/25/2022 08:22:43",
"content": "Pinned a message.",
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"id": 1001102603133915300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/25/2022 08:24:20",
"content": "**cashback**",
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"timestamp": "07/25/2022 08:24:43",
"content": "This will yield an indeterminate form of $\\infty\\cdot\\infty$",
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"timestamp": "07/25/2022 08:24:54",
"content": "**cashback**",
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"timestamp": "07/25/2022 08:26:27",
"content": "this converges",
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"id": 1001103151295893500,
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"timestamp": "07/25/2022 08:26:30",
"content": "definetly",
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"id": 1001103212121706500,
"author_id": 693712528802316300,
"author_name": "KD",
"timestamp": "07/25/2022 08:26:45",
"content": "It's limit is e^(-3)",
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"id": 1001103318749298800,
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"timestamp": "07/25/2022 08:27:10",
"content": "i agree, how tho",
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"author_name": "KD",
"timestamp": "07/25/2022 08:27:22",
"content": "What you actually have to do is use the binomial theorem to expand this series",
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"author_name": "KD",
"timestamp": "07/25/2022 08:27:31",
"content": "And then apply the limit to each term",
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"timestamp": "07/25/2022 08:27:56",
"content": "wait u can use the binomial theorem on the limits?",
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"timestamp": "07/25/2022 08:28:03",
"content": "You'll get the series expansion for e^(-3)",
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"content": "or does it work for non integer exponents",
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"timestamp": "07/25/2022 08:28:17",
"content": "or sth",
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"timestamp": "07/25/2022 08:28:46",
"content": "There's a general binomial theorem for non integer exponents as well",
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"timestamp": "07/25/2022 08:28:58",
"content": "Tho here you can assume x to be a large integer",
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"timestamp": "07/25/2022 08:29:38",
"content": "And yes, you can use the binomial theorem to expand a limit expression and evaluate the limit",
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"id": 1001103984657973400,
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"timestamp": "07/25/2022 08:29:49",
"content": "but if its like that it may have a limit for integer values but doesnt converge for real numbers",
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"id": 1001104008548716700,
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"timestamp": "07/25/2022 08:29:55",
"content": "if that makes sense",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/25/2022 08:30:07",
"content": "This is just applying l'hopitals rule so I'm not treating this as s eries",
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"timestamp": "07/25/2022 08:31:05",
"content": "Again, better to use the general binomial theorem",
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"timestamp": "07/25/2022 08:31:23",
"content": "So I believe it's just algebra to manipulate it into an expression that the limit evaluates to 0/0 or infinity/infinity",
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"timestamp": "07/25/2022 08:31:23",
"content": "lHospital will not apply here",
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"timestamp": "07/25/2022 08:31:44",
"content": "This is from chapter exercises on l'hopitals rule",
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"content": "Okay in that case then you can use the log approach",
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"content": "Although this is how the number e is defined from first principles, so using L'hospital to derive it seems ugly",
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"timestamp": "07/25/2022 08:35:54",
"content": "Can you elaborate? Yes, I think there's some algebra trick using e or ln here. It's just been a long time since I've done a problem like this so I can't remember the details.",
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"content": "Assume 1/x=t",
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"content": "Then this expression becomes 0/0 form",
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"content": "Which you can solve using hospital rule",
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"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
00ba28df64d84e29880f0bf034e79362
|
197,412 |
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"content": "Available help channel!",
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"id": 1001120041804238800,
"author_id": 262250959047098370,
"author_name": "看，想，写",
"timestamp": "07/25/2022 09:33:37",
"content": "Hello! I've been trying to review some trigonometry for my calculus class and realized I forgot a lot. I'm currently trying to solve this problem on an edx course. So from my understanding, I know the horse has moved 120 degrees because that's 1/3 of 360. I know on a unit circle, the y-coordinate would be -0.5. But how do I translate all this to a circle with a radius of 400m?",
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"content": "multiply by 400",
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"timestamp": "07/25/2022 09:36:53",
"content": "Oh that's it?",
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"timestamp": "07/25/2022 09:37:12",
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"timestamp": "07/25/2022 09:37:46",
"content": "Thanks for the help!",
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"content": ".close",
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help-9
|
6ddc90c930ea4039a8317d51ef6b43a7
|
197,413 |
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"id": 1001124014401532000,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "07/25/2022 09:49:25",
"content": "Hi, how do i solve these kinds of eq systems on a calculator(texas tI-84 plus)?",
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"content": "Pinned a message.",
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"author_name": "ottie",
"timestamp": "07/25/2022 09:49:43",
"content": "I'm having issues since idk how i can make the unknowns in 2nd order.",
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"id": 1001124460197314700,
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"timestamp": "07/25/2022 09:51:11",
"content": "It is of course possible by hand but i need to save as much time as i can.",
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"content": "Did you try expressing y in terms of x?",
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"id": 1001125445330272400,
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"content": ":thinkingbread:",
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"id": 1001125471993475100,
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"author_name": "Theo1105",
"timestamp": "07/25/2022 09:55:12",
"content": "Like here y= (5*22 - 10x)/13 and substituting y for that in the second equation",
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"id": 1001125472802980000,
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"timestamp": "07/25/2022 09:55:12",
"content": "Usually there is a way to solve equ systems",
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"id": 1001125494911156200,
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"timestamp": "07/25/2022 09:55:17",
"content": "but it has x and y raised to just 1",
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"timestamp": "07/25/2022 09:55:25",
"content": "yeah thats the basic way",
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"content": "by hand",
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"timestamp": "07/25/2022 10:10:26",
"content": "@ottie Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
ce951db105f947cfa6bc3e915038074f
|
197,414 |
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"timestamp": "07/25/2022 10:16:01",
"content": "check base",
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"content": "Am I fine so far?",
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"content": "induction step",
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"timestamp": "07/25/2022 10:17:43",
"content": "Also, what do you mean by checking the base?",
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"content": "n=1",
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"timestamp": "07/25/2022 10:17:51",
"content": "is base",
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"timestamp": "07/25/2022 10:17:53",
"content": "shouldnt u make the left hand side into a summation",
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"timestamp": "07/25/2022 10:18:05",
"content": "Ok",
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"id": 1001131286271889500,
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"author_name": "D.",
"timestamp": "07/25/2022 10:18:18",
"content": "and then do induction",
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"author_name": "Jun♾",
"timestamp": "07/25/2022 10:18:36",
"content": "So my next step should be to make LHS = RHS and prove they’re equal",
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"id": 1001131399832678500,
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"timestamp": "07/25/2022 10:18:45",
"content": "yh",
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"timestamp": "07/25/2022 10:18:50",
"content": "Okie",
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"id": 1001132014201753600,
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"author_name": "Jun♾",
"timestamp": "07/25/2022 10:21:12",
"content": "So in the end I am left with a quadratic",
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"author_name": "Jun♾",
"timestamp": "07/25/2022 10:21:30",
"content": "(K-1)(7k-8)=0",
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"id": 1001132665216454800,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 10:23:47",
"content": "So what would that mean?",
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"id": 1001132707260141700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:23:57",
"content": "???",
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"id": 1001132721936007200,
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"author_name": "D.",
"timestamp": "07/25/2022 10:24:01",
"content": "show steps",
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"timestamp": "07/25/2022 10:26:41",
"content": "and that is why i told u make the LHS into a summation",
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"timestamp": "07/25/2022 10:26:54",
"content": "what do you mean by that?",
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"id": 1001133514793685100,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:27:10",
"content": "have u seen the sigma notation?",
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"author_name": "Jun♾",
"timestamp": "07/25/2022 10:27:22",
"content": "Yes but my book doesent use it",
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"id": 1001133983897231500,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:29:01",
"content": "well its not that complicated",
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"id": 1001134027366994000,
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"author_name": "D.",
"timestamp": "07/25/2022 10:29:12",
"content": "the summation is literally 7n-4",
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"timestamp": "07/25/2022 10:29:44",
"content": "So LHS=(7k-4) ?",
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"timestamp": "07/25/2022 10:31:30",
"content": "I see",
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"id": 1001134718194045000,
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"timestamp": "07/25/2022 10:31:57",
"content": "and then your inductive step should look something like this",
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"id": 1001135000944648300,
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"author_name": "D.",
"timestamp": "07/25/2022 10:33:04",
"content": "and u have to get in the form where u show its true for k+1",
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"timestamp": "07/25/2022 10:33:53",
"content": "Ok",
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"id": 1001135513849319600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:35:06",
"content": "btw its suppose to be 7(k+1)-4",
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"id": 1001135535789719700,
"author_id": 408715646956863500,
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"timestamp": "07/25/2022 10:35:11",
"content": "not n",
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"timestamp": "07/25/2022 10:35:18",
"content": "Right",
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"author_name": "Jun♾",
"timestamp": "07/25/2022 10:37:54",
"content": "So I looked at the answer and I don’t understand this LHS part",
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"id": 1001136881431482500,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:40:32",
"content": "they added the k+1 th term",
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},
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"id": 1001136903527088300,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:40:38",
"content": "(7k+3)",
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},
{
"id": 1001137157387337700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:41:38",
"content": "and then substituted the k/2(7k-1)",
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},
{
"id": 1001137269379448800,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:42:05",
"content": "becuz the terms before the k th term equal to k/2(7k-1)",
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},
{
"id": 1001137338790981600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:42:21",
"content": "as in the original statement u started with",
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},
{
"id": 1001137390666129500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 10:42:34",
"content": "Ok I get it",
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},
{
"id": 1001137493221060600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:42:58",
"content": "its much easier to see it if u did the summation way",
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},
{
"id": 1001137532991439000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/25/2022 10:43:08",
"content": "but its the same process",
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},
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"id": 1001137571151228900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 10:43:17",
"content": "Yeah I get what you mean",
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},
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"id": 1001137695285850200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 10:43:46",
"content": "Ok I get it, thanks",
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"reference": null
},
{
"id": 1001137762906406900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/25/2022 10:44:02",
"content": ".close",
"attachments": [],
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},
{
"id": 1001137764672213100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 10:44:03",
"content": "Channel closed",
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}
] |
help-9
|
ef8a9799dcce4e71874bb340cd5c4488
|
197,415 |
[
{
"id": 959165106976067700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 14:59:41",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 959166089579884500,
"author_id": 477823425893629950,
"author_name": "kattunge",
"timestamp": "03/31/2022 15:03:36",
"content": "13={b(q^3,-1)}{q-1}\n40= {b(q^4,-1}{q-1}",
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{
"id": 959166091521843200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 15:03:36",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 959166089579884500,
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{
"id": 959166110987591700,
"author_id": 477823425893629950,
"author_name": "kattunge",
"timestamp": "03/31/2022 15:03:41",
"content": "and after",
"attachments": [],
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},
{
"id": 959166944550981600,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 15:07:00",
"content": "Solve it for b and q",
"attachments": [],
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"reference": null
},
{
"id": 959166967971971100,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 15:07:05",
"content": "You can divide both equations",
"attachments": [],
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"reference": null
},
{
"id": 959166976759054300,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/31/2022 15:07:07",
"content": "And find q",
"attachments": [],
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"reference": null
},
{
"id": 959167964731572400,
"author_id": 477823425893629950,
"author_name": "kattunge",
"timestamp": "03/31/2022 15:11:03",
"content": "13/40= 1/q => q = 40/13",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959171740553056400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 15:26:03",
"content": "@kattunge Has your question been resolved?",
"attachments": [],
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"id": 959175515946774500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 15:41:03",
"content": "Channel closed",
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}
] |
help-9
|
fc70c4d8b47949d8bb6f163afb571954
|
197,416 |
[
{
"id": 1001138018326954000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 10:45:03",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001139261485101200,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:50:00",
"content": "What did I do wrong here?",
"attachments": [
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 10:50:00",
"content": "Pinned a message.",
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{
"id": 1001139685101420500,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:51:41",
"content": "Second to last line",
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{
"id": 1001139752285782000,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:51:57",
"content": "You got the common denominator",
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},
{
"id": 1001139788029624400,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:52:05",
"content": "But 9/9 does not equal 1/3",
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},
{
"id": 1001139816538325100,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:52:12",
"content": "It’s 3/9 that’s equal to 1/3",
"attachments": [],
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},
{
"id": 1001140018275950700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:53:00",
"content": "Oops I'm dumb",
"attachments": [],
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"reference": null
},
{
"id": 1001140076987822100,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:53:14",
"content": "We all make mistakes like that",
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"timestamp": "07/25/2022 10:53:36",
"content": "",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:53:45",
"content": "I changed it but still no answer;;;",
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},
{
"id": 1001140230012797000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:53:51",
"content": "😢",
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},
{
"id": 1001140352381616100,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:54:20",
"content": "",
"attachments": [
{
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{
"id": 1001140399294914700,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:54:31",
"content": "Get rid of outer parenthesis, it’s redundant",
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{
"id": 1001140426629185700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:54:37",
"content": "Oh wait, is it B?",
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},
{
"id": 1001140513535180900,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:54:58",
"content": "👍🏼",
"attachments": [],
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},
{
"id": 1001140549908181100,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:55:07",
"content": "Thanks!",
"attachments": [],
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},
{
"id": 1001140576021909500,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 10:55:13",
"content": "Fraction split be like",
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},
{
"id": 1001140595835797500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:55:18",
"content": "xD",
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},
{
"id": 1001140612147466400,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/25/2022 10:55:22",
"content": ".close",
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},
{
"id": 1001140613988745300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 10:55:22",
"content": "Channel closed",
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}
] |
help-9
|
c5bd83564c0c4d3397a57c279dd77eeb
|
197,417 |
[
{
"id": 1001147943639842800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 11:24:30",
"content": "Available help channel!",
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},
{
"id": 1001149573189882000,
"author_id": 483169772545245200,
"author_name": "Cheb",
"timestamp": "07/25/2022 11:30:58",
"content": "The number of E.coli bacteria at time, t , in hours, is given by N(t) = N 0 (8) t , where N 0 is the initial number of bacteria at t = 0. If the initial number of bacteria is 4 000, then the expected number of bacteria 1 hour and 15 minutes later is",
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"id": 1001149577891692700,
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"timestamp": "07/25/2022 11:30:59",
"content": "Pinned a message.",
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{
"id": 1001150261328359600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 11:33:42",
"content": "just plug in the time",
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},
{
"id": 1001150289988038700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 11:33:49",
"content": "and initial number",
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},
{
"id": 1001153349070115000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 11:45:58",
"content": "@Cheb Has your question been resolved?",
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{
"id": 1001153662984392700,
"author_id": 483169772545245200,
"author_name": "Cheb",
"timestamp": "07/25/2022 11:47:13",
"content": "how",
"attachments": [],
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},
{
"id": 1001153669057757300,
"author_id": 483169772545245200,
"author_name": "Cheb",
"timestamp": "07/25/2022 11:47:15",
"content": "tf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001158964752416900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 12:08:17",
"content": "wdym",
"attachments": [],
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"reference": null
},
{
"id": 1001159118305906800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 12:08:54",
"content": "1 hour 15 minutes = 5/4 hours",
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},
{
"id": 1001159151285706900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 12:09:02",
"content": "N_0 is given",
"attachments": [],
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},
{
"id": 1001159216528097400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 12:09:17",
"content": "what are you having trouble with",
"attachments": [],
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"reference": null
},
{
"id": 1001159243002552400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 12:09:24",
"content": "@Cheb",
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"id": 1001161760524480600,
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 12:19:24",
"content": "@Cheb Has your question been resolved?",
"attachments": [],
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{
"id": 1001164517234970800,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 12:30:21",
"content": "I assume you’re trying to form an exponential function",
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"id": 1001169311148294100,
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"timestamp": "07/25/2022 12:49:24",
"content": "Channel closed",
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}
] |
help-9
|
6005aa97ed7440c0805c7c3b883b1ce1
|
197,418 |
[
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"id": 1001174746618138800,
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 13:11:00",
"content": "Available help channel!",
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},
{
"id": 1001174773545582600,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:11:06",
"content": "",
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"timestamp": "07/25/2022 13:11:07",
"content": "Pinned a message.",
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"id": 1001174790683504600,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:11:11",
"content": "what does this say",
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},
{
"id": 1001174838410494000,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:11:22",
"content": "since last columon does not have a pivot",
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},
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"id": 1001174843871465600,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 13:11:23",
"content": "Can’t read your handwriting",
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"timestamp": "07/25/2022 13:11:37",
"content": "my teachers",
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"id": 1001174916248371300,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:11:40",
"content": "i dont understand him",
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"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:11:52",
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"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:12:01",
"content": "i dont understand this word",
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},
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"id": 1001175065792102400,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/25/2022 13:12:16",
"content": "You might need to ask what that word is",
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},
{
"id": 1001175086033797200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/25/2022 13:12:21",
"content": "Probably pivot yeah",
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},
{
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"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:12:31",
"content": "ok thanks",
"attachments": [],
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},
{
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"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "07/25/2022 13:12:32",
"content": ".close",
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},
{
"id": 1001175134448652400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 13:12:32",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
10bd665ff1ee494799104075209a70e6
|
197,419 |
[
{
"id": 1001177187786965000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/25/2022 13:20:42",
"content": "that word looks like it starts with a b...",
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},
{
"id": 1001184007423262800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 13:47:48",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1001184727497187500,
"author_id": 576039238366265340,
"author_name": "Hasan343",
"timestamp": "07/25/2022 13:50:40",
"content": "there is a online soccer game i have a function which calculating where the ball will be after x ticks in the game. But i dont know how to make another object go there in x ticks\nThere are properties object x, object y, object xspeed, object yspeed, object damping.\nObject and ball has same properties and same physics\n\nGame physics: on every game tick object's xspeed is added to its x(and yspeed added to y) then xspeed, yspeed is multiplied by object's damping value and it repeats \nI need the object to go to the destination B in x ticks. For doing that i need the starting speed of the object. I have object current location, damping\nI need to know the object's starting speed for it to go to destination B in x ticks. \nFor example object will go to x: 31 and y: 54 in 6 game ticks and its current position is x: 67.54 y: 58.43 i need its starting speed that will added to its x and then multiplied by its damping every tick \n\nEnglish is not my mother tongue, sorry for my english I hope you understand.\n I dont have formula for that and i dont know how to do that can someone help me",
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},
{
"id": 1001184729988608000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 13:50:40",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 14:05:40",
"content": "@Hasan343 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 14:36:04",
"content": "@Hasan343 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:06:05",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b9ba41ad984945f795c71f3d7d959080
|
197,420 |
[
{
"id": 1001203959563817000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:07:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001204580408893600,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/25/2022 15:09:33",
"content": "help with 1 and 2",
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:09:34",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/25/2022 15:10:31",
"content": "",
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"id": 1001204838304063600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "07/25/2022 15:10:34",
"content": "for 1a they made it easy for u",
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},
{
"id": 1001204910152491100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "07/25/2022 15:10:52",
"content": "one equation is already solved for a variable",
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},
{
"id": 1001204969682260100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "07/25/2022 15:11:06",
"content": "you just have to put that variable into the other equation",
"attachments": [],
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},
{
"id": 1001204975789154400,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/25/2022 15:11:07",
"content": "so i jus gotta find y?",
"attachments": [],
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},
{
"id": 1001205144186265700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "07/25/2022 15:11:47",
"content": "substitute first equation into second",
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},
{
"id": 1001206551765336000,
"author_id": 1000235575917424800,
"author_name": "pomme",
"timestamp": "07/25/2022 15:17:23",
"content": ".close",
"attachments": [],
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},
{
"id": 1001206553405313200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:17:23",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b13ab9ea863f4da3940adcdf145a581d
|
197,421 |
[
{
"id": 1001207110589219000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:19:36",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001207474134716400,
"author_id": 994461493502431200,
"author_name": "vanessa.v",
"timestamp": "07/25/2022 15:21:03",
"content": "how do i answer this?",
"attachments": [
{
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"id": 1001207477045559300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:21:04",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1001208000360489100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "07/25/2022 15:23:08",
"content": "U can doodle it",
"attachments": [],
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},
{
"id": 1001208006580650100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "07/25/2022 15:23:10",
"content": "Google",
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},
{
"id": 1001208472286802000,
"author_id": 994461493502431200,
"author_name": "vanessa.v",
"timestamp": "07/25/2022 15:25:01",
"content": "got it thanks",
"attachments": [],
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},
{
"id": 1001208478221750300,
"author_id": 994461493502431200,
"author_name": "vanessa.v",
"timestamp": "07/25/2022 15:25:02",
"content": ".close",
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{
"id": 1001208479874298000,
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 15:25:03",
"content": "Channel closed",
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}
] |
help-9
|
1a4b233f6fcc468da859d18367a15ef0
|
197,422 |
[
{
"id": 1001227289981358100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 16:39:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001231238180376600,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 16:55:29",
"content": "My teacher said it’s 5000?",
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"id": 1001231241972031600,
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"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 16:55:30",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1001231986255466500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 16:58:27",
"content": "It wants you to estimate to a smaller degree of precision",
"attachments": [],
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},
{
"id": 1001232057176965200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 16:58:44",
"content": "Instead of estimating 102.12 as 102, it wants you to estimate it as 100",
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{
"id": 1001232127276372000,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 16:59:01",
"content": "Oh so to the nearest 10,100",
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},
{
"id": 1001232179973607400,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 16:59:13",
"content": "Ok thanks so much",
"attachments": [],
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},
{
"id": 1001232286840258700,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 16:59:39",
"content": "I keep thinking it’s asking to round to a whole number",
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{
"id": 1001232539836481700,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 17:00:39",
"content": "So let’s say it’s 65.38 it would be rounded to 70?",
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"id": 1001232752143769600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:01:30",
"content": "Maybe. Hard to say really",
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"id": 1001232819273601000,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 17:01:46",
"content": "I’m going to do more research",
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"id": 1001232913985183700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:02:08",
"content": "I don't think \"estimate\" is a word that's rigorously defined, so its gonna depend on the teacher",
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"id": 1001232954355359700,
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"author_name": "dayahx",
"timestamp": "07/25/2022 17:02:18",
"content": "Okkk",
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},
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"id": 1001232968607609100,
"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 17:02:21",
"content": "Thanks sm",
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},
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"author_id": 773215569838997500,
"author_name": "dayahx",
"timestamp": "07/25/2022 17:02:27",
"content": ".close",
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},
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"id": 1001232993991532500,
"author_id": 805217272087838700,
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"timestamp": "07/25/2022 17:02:27",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
2813d99dc1b843909caa61e801f10302
|
197,423 |
[
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"timestamp": "07/25/2022 17:05:31",
"content": "Available help channel!",
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},
{
"id": 1001243515696709800,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:44:16",
"content": "Ot is talking about simplest radical form and the Pythagoras Therom and I'm confused how to solve it",
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"timestamp": "07/25/2022 17:44:17",
"content": "Pinned a message.",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:44:51",
"content": "What have you tried",
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},
{
"id": 1001243739655766100,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:45:09",
"content": "Yes",
"attachments": [],
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},
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"id": 1001243775487705200,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:45:18",
"content": "",
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{
"id": 1001243798908702800,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:45:23",
"content": "The other page is in my notebook",
"attachments": [],
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},
{
"id": 1001243836737130500,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:45:32",
"content": "I only have 1 attempt left",
"attachments": [],
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},
{
"id": 1001243860107808800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:45:38",
"content": "(3 √3)² ≠ 9 √3",
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},
{
"id": 1001243896090730600,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:45:47",
"content": "Huh",
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},
{
"id": 1001243977565077600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:46:06",
"content": "You only squared the 3",
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},
{
"id": 1001244017461297300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:46:15",
"content": "You have to square the whole thing",
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{
"id": 1001244261720797300,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:47:14",
"content": "So 9√9",
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},
{
"id": 1001244281887006800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:47:19",
"content": "Which is?",
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{
"id": 1001244362547658900,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:47:38",
"content": "9 81",
"attachments": [],
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},
{
"id": 1001244385398227000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:47:43",
"content": "No",
"attachments": [],
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},
{
"id": 1001244487479214100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:48:08",
"content": "You can simplify √9",
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"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:48:17",
"content": "But didn't I square it",
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},
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"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:48:47",
"content": "Yeah, and you got 9 √9",
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"id": 1001244677401497700,
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"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:48:53",
"content": "You can simplify that",
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},
{
"id": 1001244720581836900,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:49:03",
"content": "3 √3",
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},
{
"id": 1001244793420124400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:49:20",
"content": "How did 9 √9 become 3 √3?",
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},
{
"id": 1001244864068980900,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:49:37",
"content": "I simplified",
"attachments": [],
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},
{
"id": 1001244897870876700,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:49:45",
"content": "1 √1?",
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},
{
"id": 1001244963583050000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:50:01",
"content": "You can't just change numbers for no reason and call that simplifying",
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},
{
"id": 1001245050052821000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:50:22",
"content": "What's √9?",
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},
{
"id": 1001245114687045600,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:50:37",
"content": "3",
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},
{
"id": 1001245147650072700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:50:45",
"content": "So whats 9 √9?",
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},
{
"id": 1001245284837367900,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:51:18",
"content": "9 √3",
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},
{
"id": 1001245365170884600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:51:37",
"content": "Why is √ still there?",
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},
{
"id": 1001245395734765700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:51:44",
"content": "You just told me √9 = 3",
"attachments": [],
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},
{
"id": 1001245446926237700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:51:56",
"content": "So 9 * √9 equals what?",
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},
{
"id": 1001245529415635100,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:52:16",
"content": "Can we start over",
"attachments": [],
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},
{
"id": 1001245630657737000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:52:40",
"content": "Let's start with the Pythagorean theorem",
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},
{
"id": 1001245656507224200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:52:46",
"content": "a² + b² = c²",
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},
{
"id": 1001245667299168400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:52:49",
"content": "What's a and b?",
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},
{
"id": 1001245742477889500,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:53:07",
"content": "The 2 shorter sides",
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},
{
"id": 1001245769862496400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:53:13",
"content": "Which are?",
"attachments": [],
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},
{
"id": 1001245842822418400,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:53:31",
"content": "Hypotnuse",
"attachments": [],
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},
{
"id": 1001245884329230300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:53:41",
"content": "I'm asking for the numerical value of a and b",
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},
{
"id": 1001245935621378000,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:53:53",
"content": "3 and 3√ 3",
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},
{
"id": 1001246034523070500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:54:16",
"content": "So plug those in to the formula",
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},
{
"id": 1001246268791718000,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:55:12",
"content": "3^2+ 3√3^2",
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},
{
"id": 1001246317022023800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:55:24",
"content": "What does that simplify to?",
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},
{
"id": 1001246413897859200,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:55:47",
"content": "When it says 3√3 does that mean 3 cubed",
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},
{
"id": 1001246433762099300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:55:52",
"content": "No",
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},
{
"id": 1001246461532577900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:55:58",
"content": "That means 3 times the square root of 3",
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},
{
"id": 1001246484261515300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:56:04",
"content": "3³ means 3 cubed",
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},
{
"id": 1001246544227467300,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:56:18",
"content": "But I don't know what the square root of 3 is",
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"id": 1001246570043424800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:56:24",
"content": "You don't have to know",
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},
{
"id": 1001246635063517300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:56:40",
"content": "Just simplify 3² + (3 √3)²",
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},
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"id": 1001246656240558200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:56:45",
"content": "Square the two numbers",
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},
{
"id": 1001246708891652100,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:56:57",
"content": "9+ 9√9",
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{
"id": 1001246743779881100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:57:05",
"content": "Yes",
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},
{
"id": 1001246781100802000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:57:14",
"content": "Now what's 9 √9?",
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},
{
"id": 1001246875204206700,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:57:37",
"content": "27?",
"attachments": [],
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},
{
"id": 1001246987573788800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:58:04",
"content": "Yes",
"attachments": [],
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},
{
"id": 1001247011326144600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:58:09",
"content": "So what's 9 + 27?",
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},
{
"id": 1001247094872486000,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:58:29",
"content": "36",
"attachments": [],
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"reference": null
},
{
"id": 1001247136274469000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:58:39",
"content": "Yep. And if that's c², what's c?",
"attachments": [],
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},
{
"id": 1001247167182286800,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:58:46",
"content": "6",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001247211151183900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:58:57",
"content": "Yep",
"attachments": [],
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},
{
"id": 1001247225478922400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/25/2022 17:59:00",
"content": "There's your answer",
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},
{
"id": 1001247260904014000,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:59:09",
"content": "Thanks so much bro",
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},
{
"id": 1001247358438350800,
"author_id": 723624583223050200,
"author_name": "Ultra 544",
"timestamp": "07/25/2022 17:59:32",
"content": ".close",
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},
{
"id": 1001247359914754000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 17:59:32",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
ca5172df0f8f4e898fdcf5c37f716c0e
|
197,424 |
[
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"id": 1001247613699502100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 18:00:33",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001248551038361700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 18:04:16",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1001248696798814200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 18:04:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7daa4588d2aa489b8c39118bccbf565e
|
197,425 |
[
{
"id": 1001251075023704200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 18:14:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001255729308631000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 18:32:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1001255727605760100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1001256762386694300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/25/2022 18:36:54",
"content": "!15m",
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},
{
"id": 1001256763351367800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 18:36:54",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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},
{
"id": 1001257181045325800,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:38:34",
"content": "You hoe",
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},
{
"id": 1001257216013242500,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:38:42",
"content": "Wait 15 minutes please read next time",
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},
{
"id": 1001257380992000000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:39:22",
"content": "None of these options are correct??",
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"id": 1001257462445387800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/25/2022 18:39:41",
"content": "I'm sorry I beat you to it",
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"id": 1001257511858479100,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:39:53",
"content": "I was calling him a hoe but you too",
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},
{
"id": 1001257547438760000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/25/2022 18:40:01",
"content": "I'm a Diamond hoe",
"attachments": [],
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"reference": null
},
{
"id": 1001257576849219700,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:40:08",
"content": "Joe?",
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},
{
"id": 1001257882307805200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/25/2022 18:41:21",
"content": "Joe momma",
"attachments": [],
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},
{
"id": 1001258376463913000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:43:19",
"content": "You are hiding the bottom option bruh",
"attachments": [],
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},
{
"id": 1001258393597661300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:43:23",
"content": "Why",
"attachments": [],
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},
{
"id": 1001258439835648000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:43:34",
"content": "There’s a 5th choice bro",
"attachments": [],
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},
{
"id": 1001258461767667700,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:43:39",
"content": "Look scroll down or something",
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"reference": null
},
{
"id": 1001259054083080400,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/25/2022 18:46:00",
"content": "wait",
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},
{
"id": 1001259065600651400,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/25/2022 18:46:03",
"content": "is this a test?",
"attachments": [],
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},
{
"id": 1001259080905654300,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/25/2022 18:46:07",
"content": "like a graded one?",
"attachments": [],
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"reference": null
},
{
"id": 1001259087268425900,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:46:08",
"content": "Bro stop pinging me",
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},
{
"id": 1001259108923621500,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:46:14",
"content": "Wait this a quiz b",
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},
{
"id": 1001259126657142900,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/25/2022 18:46:18",
"content": "bro",
"attachments": [],
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"reference": null
},
{
"id": 1001259138061443300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:46:21",
"content": "You did",
"attachments": [],
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},
{
"id": 1001259162312908800,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 18:46:26",
"content": "@Moderators quiz",
"attachments": [],
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"reference": null
},
{
"id": 1001259170332414000,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/25/2022 18:46:28",
"content": "#❓how-to-get-help",
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"content": "re-read bro",
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},
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"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
86dfb2ba016f4b1fbb8d09cde567218a
|
197,426 |
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"timestamp": "03/31/2022 15:42:04",
"content": "Available help channel!",
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"author_id": 527241936659152960,
"author_name": "Ihaveaquesiton",
"timestamp": "03/31/2022 15:48:00",
"content": "what does this notation say ?",
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"content": "the middle sign is what confuses me",
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"content": "@Ihaveaquesiton Has your question been resolved?",
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}
] |
help-9
|
b6c3f619c94847739355a09b9725f98e
|
197,427 |
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"id": 1001259261835345900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/25/2022 18:46:50",
"content": "basically, don't cheat on tests",
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"content": "No cheating get fucked",
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"content": "Available help channel!",
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},
{
"id": 1001266049993408500,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:13:48",
"content": "Hi! I needed help solving this question",
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"content": "Pinned a message.",
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"author_name": "akhil",
"timestamp": "07/25/2022 19:14:46",
"content": "The answer sheet says it is - 1 but when I plug in 1 into the function I get undefined",
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},
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"id": 1001266597677244400,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:15:59",
"content": "When I went on photomath it does this",
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"id": 1001266844302327900,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:16:58",
"content": "Could you explain why they evaluate the left & right hand side, also where they got -1 from.",
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},
{
"id": 1001266876200001500,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:17:05",
"content": "@Helpers",
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},
{
"id": 1001266993690849400,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 19:17:33",
"content": "!15min",
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},
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"id": 1001266995154657300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/25/2022 19:17:34",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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"id": 1001267016088441000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 19:17:39",
"content": "Could you fucking read broski",
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},
{
"id": 1001267090868678700,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:17:57",
"content": "ma bad",
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},
{
"id": 1001267150452965500,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 19:18:11",
"content": "Use l’hospital’s principal",
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},
{
"id": 1001267339913863300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 19:18:56",
"content": "Wait first combine the two fractions",
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"id": 1001267420297699300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/25/2022 19:19:15",
"content": "Make them equivalent to each other then combine",
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},
{
"id": 1001268991232331900,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:25:30",
"content": "Is it possible to solve the question without using derivatives?",
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"id": 1001269399388442800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/25/2022 19:27:07",
"content": "try cross multiplying and using the factorisation of 1-x^3",
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},
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"id": 1001269924423012400,
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"timestamp": "07/25/2022 19:29:12",
"content": "thanks that worked",
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},
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"id": 1001270125015613600,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:30:00",
"content": "My bad for tagging helpers before 15 min",
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},
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"id": 1001270184469868500,
"author_id": 428681040014344200,
"author_name": "akhil",
"timestamp": "07/25/2022 19:30:14",
"content": ".close",
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},
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"timestamp": "07/25/2022 19:30:15",
"content": "Channel closed",
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}
] |
help-9
|
ff6ab44ee21345c6a92085fd368955ef
|
197,428 |
[
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"timestamp": "07/25/2022 22:19:31",
"content": "Available help channel!",
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},
{
"id": 1001313346324279400,
"author_id": 940801541345009800,
"author_name": "AngryErion",
"timestamp": "07/25/2022 22:21:45",
"content": "In a binomial distribution where n=9, p=0.13, a normal distribution is a good approximation of the binomial distribution.",
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"content": "Pinned a message.",
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"timestamp": "07/25/2022 22:21:57",
"content": "can someone help with this question",
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},
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"timestamp": "07/25/2022 22:36:57",
"content": "@AngryErion Has your question been resolved?",
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"timestamp": "07/25/2022 22:56:32",
"content": "Define \"good approximation\"",
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"timestamp": "07/25/2022 23:07:22",
"content": "@AngryErion Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
1175cb1af53c4cbaabfc58e4b0a2d7ca
|
197,429 |
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"id": 1001330399282208800,
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"timestamp": "07/25/2022 23:29:31",
"content": "can someone help me with this",
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"content": "Pinned a message.",
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"content": ".close",
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"id": 1001331283751874700,
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"content": "Channel closed",
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help-9
|
c021d69cad6e45d88d75e8a5eb145ac6
|
197,430 |
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"content": "Available help channel!",
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},
{
"id": 1001348237321572400,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "07/26/2022 00:40:23",
"content": "how do i find the negative coterminal",
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"content": "Pinned a message.",
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"content": "@에미 Has your question been resolved?",
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help-9
|
ea92d654664644d4b87e850e70c11e5f
|
197,431 |
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"content": "Available help channel!",
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"id": 1001357928219017200,
"author_id": 256115294949343230,
"author_name": "Roeku",
"timestamp": "07/26/2022 01:18:54",
"content": "Why would the answer be 1/2 and not -1/2",
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"content": "Pinned a message.",
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"id": 1001358673572012000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/26/2022 01:21:52",
"content": "What would make you think it is -1/2?",
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},
{
"id": 1001358794183422100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/26/2022 01:22:20",
"content": "Ultimately I can't say anything more than \"memorize your unit circle\"",
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},
{
"id": 1001358907412848800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/26/2022 01:22:47",
"content": "Note that 150 is in Q2, which is above the x-axis, so sin is positive there",
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"id": 1001358976946028500,
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"author_name": "Roeku",
"timestamp": "07/26/2022 01:23:04",
"content": "Ohhhhhhhh",
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},
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"id": 1001359026015174700,
"author_id": 256115294949343230,
"author_name": "Roeku",
"timestamp": "07/26/2022 01:23:16",
"content": "Didn't think of utilizing the unit circle for this problem",
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},
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"timestamp": "07/26/2022 01:38:16",
"content": "@Roeku Has your question been resolved?",
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"content": "Channel closed",
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help-9
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7d2bb9a2feea4e7097f3d218d59eda18
|
197,432 |
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"content": "Available help channel!",
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"id": 1001368788937224200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:02:03",
"content": "Question again",
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"id": 1001368791210537100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 02:02:04",
"content": "Pinned a message.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:02:15",
"content": "Soo",
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"id": 1001368935331020800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:02:38",
"content": "This f(x)=x²-2x+c",
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"id": 1001369073319411700,
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"timestamp": "07/26/2022 02:03:11",
"content": "If it's f(1)",
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"id": 1001369113882525700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:03:21",
"content": "How do I find the c?",
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"id": 1001369158509920400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:03:31",
"content": "Do I treat this like an equation",
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{
"id": 1001369261010325500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:03:56",
"content": "that is indeed an equation",
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},
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"id": 1001369295835635800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:04:04",
"content": "So",
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"id": 1001369301791539300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:04:06",
"content": "you plug in x=1 on the right side",
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"id": 1001369334184153100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:04:13",
"content": "(-1)^2 - 2 * 1 + c",
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},
{
"id": 1001369341712933000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:04:15",
"content": "and simplify",
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},
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"id": 1001369342820229200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:04:15",
"content": "Mhm",
"attachments": [],
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},
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"id": 1001369402391924700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:04:30",
"content": "UHHH",
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},
{
"id": 1001369417533362200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:04:33",
"content": "like",
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},
{
"id": 1001369421304037400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:04:34",
"content": "Ah",
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"id": 1001369490103214200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:04:50",
"content": "Like it's gonna be 1=-1+c?",
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"id": 1001369900184506500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:06:28",
"content": "@🚀DirtBikeChad🚀 go to #help-10｜feni",
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"id": 1001370020527484900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:06:57",
"content": "Sry if I'm stupid",
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},
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"id": 1001370255433666600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:07:53",
"content": "watch the video i sent you",
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"id": 1001370306251862100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:08:05",
"content": "Okay I'll watch it again",
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},
{
"id": 1001370327680561300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:08:10",
"content": ":ShyBowLeaveBye:",
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{
"id": 1001370634221273100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:09:23",
"content": "O",
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},
{
"id": 1001370702181572600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:09:39",
"content": "C is equal to 4 if f(1)",
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"id": 1001370715406205000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:09:43",
"content": ":PI_yippy: :PI_yippy: :PI_yippy:",
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},
{
"id": 1001370887183933600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:10:24",
"content": "Cause it said if f(1)=3",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:10:57",
"content": "So I just solve 3=1²-2*1+c",
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},
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"id": 1001371105635881000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:11:16",
"content": "Is that correct??",
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},
{
"id": 1001371121628749800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:11:19",
"content": ":SilvTaps:",
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},
{
"id": 1001374215162830800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:23:37",
"content": "yes",
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},
{
"id": 1001374585536659600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:25:05",
"content": "Ty ty ty sooo much",
"attachments": [],
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"reference": null
},
{
"id": 1001374619044950000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:25:13",
"content": "I hope you have a wonderful day!",
"attachments": [],
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},
{
"id": 1001374646190481400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:25:20",
"content": "I really appreciate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001374816923828200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:26:00",
"content": ":SilvHug:",
"attachments": [],
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},
{
"id": 1001374840596476000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:26:06",
"content": ":catthumbsup:",
"attachments": [],
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},
{
"id": 1001374912365219800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:26:23",
"content": "Do I close the channel now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001374935228362800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:26:29",
"content": "Like do .close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001375022365016000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 02:26:49",
"content": "sure",
"attachments": [],
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},
{
"id": 1001375040899661800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 02:26:54",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001375042522849400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 02:26:54",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d5c7c79f1db14b35b71600fe0ead0852
|
197,433 |
[
{
"id": 1001375295787520100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 02:27:55",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1001375712223187100,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 02:29:34",
"content": "I have no sort of interval here",
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"timestamp": "07/26/2022 02:29:34",
"content": "Pinned a message.",
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"id": 1001375901176569900,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 02:30:19",
"content": "I found the derivative of that equation, then evaluated the derivative equation if it equaled 0",
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"timestamp": "07/26/2022 02:30:48",
"content": "",
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"author_name": "caarson",
"timestamp": "07/26/2022 02:31:19",
"content": "So aside from being able to calculate the critical points, how would I be able to find the max and min?",
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},
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"id": 1001376540724035600,
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"author_name": "caarson",
"timestamp": "07/26/2022 02:32:51",
"content": "Are these the only two critical points for this function maybe?",
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},
{
"id": 1001379476346785800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 02:44:31",
"content": "based on the problem statement, C(t) only makes physical sense for t ≥ 0, so of the two critical times that you found only the positive one makes sense",
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{
"id": 1001379518453391400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 02:44:41",
"content": "you have found the answer to the _second_ question asked of you in the picture",
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},
{
"id": 1001379570513100800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 02:44:54",
"content": "i.e. the time at which the max concentration happens",
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},
{
"id": 1001379636225265700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 02:45:10",
"content": "so now evaluate C(t) at that point in time and you'll have the answer to the first question",
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{
"id": 1001380203899129900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 02:47:25",
"content": "~~by the way is your work mouse-drawn~~",
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"id": 1001380649015451600,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 02:49:11",
"content": "No my hand writing is just unfortunately horrendous .",
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"timestamp": "07/26/2022 02:49:48",
"content": "right",
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},
{
"id": 1001380875537219600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 02:50:05",
"content": "may i suggest something that may improve your handwriting ever so slightly for the purposes of writing math",
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"id": 1001381331021869200,
"author_id": 327641170597511200,
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"timestamp": "07/26/2022 02:51:54",
"content": "I will certainly keep it neat for the purposes of understanding, I try to accompany my math with comments so that it makes sense.",
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"id": 1001381470910288000,
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"author_name": "Ann",
"timestamp": "07/26/2022 02:52:27",
"content": "write your t's like this to make sure they never get confused with plus signs",
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"id": 1001381859252506600,
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"author_name": "caarson",
"timestamp": "07/26/2022 02:54:00",
"content": "*Literal gold*",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 03:09:00",
"content": "@caarson Has your question been resolved?",
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"timestamp": "07/26/2022 03:20:23",
"content": "I did try to do this but it does mark that as false, I probably have done something wrong",
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"timestamp": "07/26/2022 03:20:59",
"content": "",
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"id": 1001388689475252200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:21:08",
"content": ",calc 0.016*sqrt(2)/(sqrt(2)^2 + sqrt(2) + 2)",
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},
{
"id": 1001388691199115300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/26/2022 03:21:08",
"content": "Result:\n```\n0.0041792619994199\n```",
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"id": 1001388758140203000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:21:24",
"content": "well it sounds like you ran into some kind of rounding error",
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"id": 1001388865317244900,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 03:21:50",
"content": "Oh the calculator is rounding it",
"attachments": [],
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},
{
"id": 1001389243848982700,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 03:23:20",
"content": "I don't think that's it",
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},
{
"id": 1001389251864297500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:23:22",
"content": "you might also be off by one order of magnitude",
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},
{
"id": 1001389307011018800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:23:35",
"content": "idk what you entered into the calculator",
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},
{
"id": 1001389381669638300,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 03:23:53",
"content": "It doesn't mark this one as valid either",
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},
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"id": 1001389430898171900,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 03:24:05",
"content": "",
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"id": 1001389679234535400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:25:04",
"content": "now you are misrounding",
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"id": 1001389876522000400,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 03:25:51",
"content": "0.00418 isn't valid either",
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},
{
"id": 1001390424344236000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:28:02",
"content": "ok hold on",
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},
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"timestamp": "07/26/2022 03:28:18",
"content": "oh fuck me i typoed",
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"timestamp": "07/26/2022 03:28:26",
"content": ",calc 0.016*sqrt(2)/(sqrt(2)^2 + 2*sqrt(2) + 2)",
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"timestamp": "07/26/2022 03:28:26",
"content": "Result:\n```\n0.0033137084989848\n```",
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"timestamp": "07/26/2022 03:29:23",
"content": "So your putting in 2",
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"timestamp": "07/26/2022 03:29:29",
"content": "no",
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"timestamp": "07/26/2022 03:29:40",
"content": "I put in the value of t",
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"timestamp": "07/26/2022 03:29:42",
"content": "i am putting in t = sqrt(2), the value that you found.",
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"timestamp": "07/26/2022 03:30:03",
"content": "1.414 is the value that I found",
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"timestamp": "07/26/2022 03:30:11",
"content": "that's rounded",
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"timestamp": "07/26/2022 03:30:23",
"content": "i am able to see your work enough to know that it is in fact the square root of two",
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"timestamp": "07/26/2022 03:30:35",
"content": "and that much is *correct*, mind you",
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"timestamp": "07/26/2022 03:31:13",
"content": "Oh shoot",
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"timestamp": "07/26/2022 03:31:18",
"content": "How did you know lol",
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"timestamp": "07/26/2022 03:32:11",
"content": "0.032 - 0.016t^2 = 0",
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"author_name": "Ann",
"timestamp": "07/26/2022 03:32:32",
"content": "that is the equation you solved to find the critical value (or one of the intermediate steps thereof)",
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"timestamp": "07/26/2022 03:35:57",
"content": "You've set the numerator of the original function to zero. It's probably super obvious, but why are you doing that?",
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"timestamp": "07/26/2022 03:37:43",
"content": "not the original function, the derivative",
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"timestamp": "07/26/2022 03:37:44",
"content": "i am solving the equation C'(t)=0",
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"id": 1001392940024869000,
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"timestamp": "07/26/2022 03:38:01",
"content": "using the formula for C'(t) that you found",
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"timestamp": "07/26/2022 03:39:07",
"content": "All you have to do is set the numerator equal to zero to solve the equation for zero?",
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"timestamp": "07/26/2022 03:39:42",
"content": "\"solve the equation for zero\" is bad wording",
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"id": 1001393404321738800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:39:52",
"content": "*t* is the variable i am solving *for*",
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"author_name": "Ann",
"timestamp": "07/26/2022 03:41:19",
"content": "if you want me to write it out more formally, my first step would be to multiply both sides of $$\\frac{0.032-0.016t^2}{(t^2+2t+2)^2)}=0$$ by the denom of the LHS (which as it happens is never zero in this problem anyway)",
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"timestamp": "07/26/2022 03:41:22",
"content": "**Ann**",
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"timestamp": "07/26/2022 03:42:01",
"content": "which will reduce to num=0",
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"author_name": "caarson",
"timestamp": "07/26/2022 03:42:07",
"content": "Right gotcha",
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"id": 1001394065100787700,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/26/2022 03:42:30",
"content": "So my calculator's algebra solve function doesn't output exact answers",
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"id": 1001394128120193200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/26/2022 03:42:45",
"content": "do you find yourself relying on it...?",
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"id": 1001394185582166000,
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"timestamp": "07/26/2022 03:42:58",
"content": "No because I just learned how to use it",
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"author_name": "caarson",
"timestamp": "07/26/2022 03:43:26",
"content": "There's probably an app I can download to make it output exact answers though",
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"timestamp": "07/26/2022 03:55:19",
"content": "you should learn algebra instead of relying on apps tbh",
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"author_name": "caarson",
"timestamp": "07/26/2022 03:56:04",
"content": "Yeah but also if I want everything to be correct then I should really learn how to make this calculator do the mistake-prone work",
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"timestamp": "07/26/2022 04:05:55",
"content": "Ohhh crap I got it to work",
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"id": 1001400023973642200,
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"timestamp": "07/26/2022 04:06:10",
"content": "Now outputting exact answers",
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"id": 1001400658336948200,
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"timestamp": "07/26/2022 04:08:42",
"content": "Thank you once again for your help",
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"timestamp": "07/26/2022 04:08:43",
"content": ".close",
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},
{
"id": 1001400666159337500,
"author_id": 805217272087838700,
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"timestamp": "07/26/2022 04:08:43",
"content": "Channel closed",
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] |
help-9
|
8850a569aac74d3d8f1a36f4d0d1c917
|
197,434 |
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"timestamp": "07/26/2022 04:09:44",
"content": "Available help channel!",
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"content": "I tried to get the value of a in terms of b and then substitute that value and solve for b then solve for a after that but that didn't work",
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"content": "So first I distributed the limit and used l'Hospital's",
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"content": "I used l'Hospital's more than 1 time till I had no x in the equation",
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"timestamp": "07/26/2022 04:32:02",
"content": "But that didn't do anything",
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"content": "notice the case where b = -2",
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"content": "then deduce the value of a",
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"author_id": 348696743388381200,
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"content": "Wouldn't you need to show where you got -2 from?",
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"timestamp": "07/26/2022 04:42:41",
"content": "But I can't just plug numbers",
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"content": "I mean yeah just showing that b = -2 is true is enough",
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"timestamp": "07/26/2022 04:43:02",
"content": "put the first and the last term on the same denominator",
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"timestamp": "07/26/2022 04:43:41",
"content": "and you can do a serie expansion at x=0",
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"content": "What is series expansion",
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"timestamp": "07/26/2022 04:44:22",
"content": "the first term of the expansion would be (b+2)/x²",
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"timestamp": "07/26/2022 04:44:32",
"content": "did you learn taylor expansion?",
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"timestamp": "07/26/2022 04:44:38",
"content": "I am doing calc",
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"content": "I am in the section of l'Hospital's rule",
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"content": "No I didn't learn Taylor expansion",
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"timestamp": "07/26/2022 04:45:22",
"content": "What's that",
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"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 04:47:14",
"content": "It is basically expressing a trigonometric function or an exponential function as a polynomial",
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"timestamp": "07/26/2022 04:47:14",
"content": "Hellooo @Theo1105 How are you todayyy",
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"timestamp": "07/26/2022 04:47:24",
"content": "Good",
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"timestamp": "07/26/2022 04:47:33",
"content": "Ok but I don't know it",
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"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 04:47:36",
"content": "https://www.youtube.com/watch?v=3d6DsjIBzJ4",
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"timestamp": "07/26/2022 04:47:53",
"content": "There should be a way other than this",
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{
"id": 1001410705129484300,
"author_id": 990146348517060600,
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"timestamp": "07/26/2022 04:48:37",
"content": "So I want to find this using l'Hospital's if possible",
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"timestamp": "07/26/2022 04:48:44",
"content": "It should be possible in fact",
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"id": 1001410753573683200,
"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 04:48:48",
"content": "You can try doing it that way too",
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"author_id": 990146348517060600,
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"timestamp": "07/26/2022 04:48:57",
"content": "Bc this question is in l'Hospital's section",
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"timestamp": "07/26/2022 04:49:07",
"content": "Did you try putting everything in the numerator?",
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"timestamp": "07/26/2022 04:49:31",
"content": "Like (sin2x + ax^3 + bx)/x^3",
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},
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"timestamp": "07/26/2022 04:49:40",
"content": "Now a and b don't change when taking the limit as x->0",
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"content": "No I didn't",
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"content": "Ok well, try doing L'Hospital to that",
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"content": "Ok gimme a sec",
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"timestamp": "07/26/2022 04:50:51",
"content": "It will be (2cos2x+3ax^2+b)/3x^2",
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"content": "Yes",
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"timestamp": "07/26/2022 04:51:04",
"content": "Now if I do l'Hospital's again",
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"content": "No no no wait",
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"content": "What",
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"content": "For L'Hospital",
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"content": "the condition is the numerator and denominator should tend to zero or infinity",
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"content": "you should apply x=0 to the numerator and find out b value that way",
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"timestamp": "07/26/2022 04:52:09",
"content": "Or inf/inf ??",
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"timestamp": "07/26/2022 04:52:20",
"content": "Yeah, sorry",
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"timestamp": "07/26/2022 04:52:46",
"content": "Ok but I can't consider x=0 just in the numerator",
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"timestamp": "07/26/2022 04:53:16",
"content": "I should consider it in the denominator too which will be undefined",
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"timestamp": "07/26/2022 04:55:06",
"content": "Now if I don't do common denom and apply l'Hospital's it gives a+ lim.. 2cos2x/3x^2 +b lim... 1/2x =0",
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"timestamp": "07/26/2022 04:55:56",
"content": "Then apply l'Hospital's again to get a-lim... 4sin2x/6x + b/2 =0",
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"timestamp": "07/26/2022 04:56:14",
"content": "Ohh wait",
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"timestamp": "07/26/2022 04:56:21",
"content": "I can't do that directly",
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"timestamp": "07/26/2022 04:56:34",
"content": "I should be sure that it is 0/0 Or inf / inf",
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"timestamp": "07/26/2022 04:56:51",
"content": "Yeah, no if the limit is real, then you should be able to apply L'Hospital rule and the numerator and denominator should be zero or inf",
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"timestamp": "07/26/2022 04:57:03",
"content": "U told me that and I didn't pay attention to it and repeated the same mistake",
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"timestamp": "07/26/2022 04:57:22",
"content": "Wdym by limit is real",
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"timestamp": "07/26/2022 04:57:29",
"content": "Like",
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"timestamp": "07/26/2022 04:57:37",
"content": "If it is not infinity",
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"timestamp": "07/26/2022 04:57:42",
"content": "and has a value",
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"timestamp": "07/26/2022 04:58:00",
"content": "definite value",
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"content": "Just try equating the numerator with 0 and find out b value and apply L'H and find a value",
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"timestamp": "07/26/2022 04:59:02",
"content": "'a' value",
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"timestamp": "07/26/2022 04:59:32",
"content": "You are right bc if the fraction =0 Then the num =0",
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"timestamp": "07/26/2022 05:00:28",
"content": "Did they give u an ans key?",
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"timestamp": "07/26/2022 05:00:36",
"content": "But the num has a and b",
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"timestamp": "07/26/2022 05:00:59",
"content": "The book that i am studying in doesn't have answer for this question",
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"timestamp": "07/26/2022 05:01:07",
"content": "mmkay",
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"timestamp": "07/26/2022 05:01:23",
"content": "Stewart calc book just give the answers to odd numberes questions",
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"timestamp": "07/26/2022 05:01:36",
"content": "And only the ones with short answers prob XD",
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"timestamp": "07/26/2022 05:01:54",
"content": "If you put in x=0 in the numerator, you should get numerator as 2 + b",
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"timestamp": "07/26/2022 05:02:19",
"content": "But x is different than 0",
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"timestamp": "07/26/2022 05:02:28",
"content": "So I can't do that",
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"timestamp": "07/26/2022 05:02:33",
"content": "But x approaches zero",
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"timestamp": "07/26/2022 05:02:51",
"content": "It approaches but it can't be 0 bc it won't be defined there",
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"timestamp": "07/26/2022 05:03:27",
"content": "Bc there is /x^ in the original equation",
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"timestamp": "07/26/2022 05:03:37",
"content": "mmkay your choice",
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"timestamp": "07/26/2022 05:04:10",
"content": "I don't want to put my choice",
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"timestamp": "07/26/2022 05:04:18",
"content": "I want the correct choice",
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"timestamp": "07/26/2022 05:04:30",
"content": "But I am thinking if I can do it",
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"timestamp": "07/26/2022 05:04:51",
"content": "If i can then I need a reason why I can do it and if I can't I also need a reason",
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"timestamp": "07/26/2022 05:04:58",
"content": "I mean",
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"timestamp": "07/26/2022 05:05:12",
"content": "To evaluate limit sinx/x",
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"timestamp": "07/26/2022 05:05:21",
"content": "You can L'Hospital",
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"timestamp": "07/26/2022 05:05:30",
"content": "And then you get cos x",
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"timestamp": "07/26/2022 05:05:39",
"content": "where x tends to zero",
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"timestamp": "07/26/2022 05:05:56",
"content": "When you get cos x, you plug in x = zero right",
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"timestamp": "07/26/2022 05:05:58",
"content": "?",
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"timestamp": "07/26/2022 05:06:14",
"content": "Ohhh yess",
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"timestamp": "07/26/2022 05:06:19",
"content": "I am stupid man",
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"timestamp": "07/26/2022 05:06:32",
"content": "How did i overlook that fact",
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"timestamp": "07/26/2022 05:06:37",
"content": "You are right",
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"timestamp": "07/26/2022 05:07:05",
"content": "Ok so b = -2",
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"timestamp": "07/26/2022 05:07:39",
"content": "Ok now gimme a sec",
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"timestamp": "07/26/2022 05:10:16",
"content": "So a=7/3",
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"timestamp": "07/26/2022 05:12:34",
"content": "So a= 7/3 And b =-2 is that correct",
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"timestamp": "07/26/2022 05:13:36",
"content": "???",
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"timestamp": "07/26/2022 05:20:31",
"content": "I got a=4/3",
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"timestamp": "07/26/2022 05:21:44",
"content": "How'd you get 7?",
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"timestamp": "07/26/2022 05:24:05",
"content": "Bc b=-2 And at the end you will reach b/2 which is-1",
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"timestamp": "07/26/2022 05:24:18",
"content": "Then a= 4/3+1 = 7/3",
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"timestamp": "07/26/2022 05:25:39",
"content": "So you keep using l'Hospital's till you reach -8cos2x/6 +a -2/2 =0",
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"timestamp": "07/26/2022 05:26:09",
"content": "Oh, you went that way",
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"timestamp": "07/26/2022 05:26:16",
"content": "Now cos0=1 So-8/6 +a-1=0 which gives a=7/3",
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"timestamp": "07/26/2022 05:26:22",
"content": "How did you do it??",
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"timestamp": "07/26/2022 05:26:44",
"content": "I mean, I just kept applying L'Hospital to the whole fraction",
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"timestamp": "07/26/2022 05:26:54",
"content": "Like one big fraction",
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"timestamp": "07/26/2022 05:27:11",
"content": "Oh ok",
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"timestamp": "07/26/2022 05:27:29",
"content": "To this one",
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"timestamp": "07/26/2022 05:27:46",
"content": "I mean the expression above it",
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"author_name": "Theo1105",
"timestamp": "07/26/2022 05:28:30",
"content": "How did you get b/2?",
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"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:28:38",
"content": "Oh wait I can't use l'Hospital's for -2/x^2",
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"id": 1001420824416366600,
"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 05:28:50",
"content": "Yeahh",
"attachments": [],
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},
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"id": 1001420829915099100,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:28:51",
"content": "Bc it's not 0/0 it is -2/0",
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"id": 1001420912991686700,
"author_id": 990146348517060600,
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"timestamp": "07/26/2022 05:29:11",
"content": "Oh ok then I'll do it for the big fraction",
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},
{
"id": 1001420992167551000,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:29:30",
"content": "Your answer is correct",
"attachments": [],
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},
{
"id": 1001421011910131700,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:29:34",
"content": "But I want to do it",
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},
{
"id": 1001421102955888600,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:29:56",
"content": "Bc I want to find it easier when I encounter stuff like this later on",
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"id": 1001421256417091600,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:30:33",
"content": "But wait",
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},
{
"id": 1001421355079708800,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:30:56",
"content": "You can just apply l'Hospital's once on the big fraction",
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"id": 1001421412663308300,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:31:10",
"content": "Bc there is -2x in the numerator",
"attachments": [],
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},
{
"id": 1001421520972824600,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:31:36",
"content": "Oh nvm",
"attachments": [],
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},
{
"id": 1001421585523150800,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:31:51",
"content": "When you do it once you'll get 2cos2x which us 2 when x=0",
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},
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"id": 1001421606125576300,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:31:56",
"content": "So you can do it again",
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},
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"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 05:32:06",
"content": "Yesh, you got it",
"attachments": [],
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},
{
"id": 1001422009688920000,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:33:32",
"content": "But after you do it the second time you get -4sin2x+6ax -2 which is -2 when x=0",
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},
{
"id": 1001422050570809300,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:33:42",
"content": "Bc sin2x =0 when x =0",
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},
{
"id": 1001422111207862400,
"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 05:33:56",
"content": "Wait no, -2 is a constant",
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},
{
"id": 1001422166635585500,
"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/26/2022 05:34:10",
"content": "after the second time -2 will disappear",
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},
{
"id": 1001422184620765300,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:34:14",
"content": "Oh yea",
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{
"id": 1001422219630616600,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:34:22",
"content": "You are right",
"attachments": [],
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},
{
"id": 1001422436622934100,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:35:14",
"content": "I am done",
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},
{
"id": 1001422453811204200,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:35:18",
"content": "Tysm man",
"attachments": [],
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},
{
"id": 1001422481623625900,
"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:35:25",
"content": "And sorry if I annoyed you",
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},
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"author_id": 990146348517060600,
"author_name": "calculus is fun",
"timestamp": "07/26/2022 05:35:36",
"content": ".close",
"attachments": [],
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},
{
"id": 1001422531502276600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 05:35:37",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d3a0a8786cce4e87986c0830f742276d
|
197,435 |
[
{
"id": 1001422784544641200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 05:36:37",
"content": "Available help channel!",
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},
{
"id": 1001424961841397800,
"author_id": 747421673279455200,
"author_name": "मादक",
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"content": "Pinned a message.",
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"author_id": 747421673279455200,
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"timestamp": "07/26/2022 05:45:18",
"content": "Q 3",
"attachments": [],
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},
{
"id": 1001425310006382600,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:46:39",
"content": "what is sum of the roots in terms of 'a'?",
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},
{
"id": 1001425408723521500,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:47:03",
"content": "Wdym",
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},
{
"id": 1001425545910825000,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:47:35",
"content": "I got a = 1 and -2",
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},
{
"id": 1001425603888693400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:47:49",
"content": "so what's your problem",
"attachments": [],
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},
{
"id": 1001425621693509600,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:47:53",
"content": "you're asking if it's right?",
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},
{
"id": 1001425775590920200,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:48:30",
"content": "No im asking how to solve modulus (alpha+beta)",
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},
{
"id": 1001425829730988200,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:48:43",
"content": "what is |-1|",
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},
{
"id": 1001425868402458800,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:48:52",
"content": "1",
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},
{
"id": 1001425941865697400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:49:10",
"content": "here you go",
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},
{
"id": 1001425996408438800,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:49:23",
"content": "But alpha plus beta is 0 no ?",
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{
"id": 1001426116046757900,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:49:51",
"content": "no, sum of the roots is 0",
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},
{
"id": 1001426149580222500,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:49:59",
"content": "alpha and beta aren't the roots",
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},
{
"id": 1001426476920479900,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:51:17",
"content": "Ohh now i understood thanks bro",
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},
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"id": 1001426668566618100,
"author_id": 747421673279455200,
"author_name": "मादक",
"timestamp": "07/26/2022 05:52:03",
"content": ".close",
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},
{
"id": 1001426670969966700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 05:52:03",
"content": "Channel closed",
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}
] |
help-9
|
4f8d8bced4654d47bc18a4af7773c6aa
|
197,436 |
[
{
"id": 1001426853518639200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/26/2022 05:52:47",
"content": "wait.. what is alpha and beta then?",
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"author_name": "MarveI",
"timestamp": "07/26/2022 05:53:00",
"content": "im having a a hard time understanding the question",
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{
"id": 1001427111409623200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/26/2022 05:53:48",
"content": "x1 and x2?",
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"id": 1001427124768485400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 05:53:52",
"content": "just some values of 'a' for which sum of the roots is 0 (1 and -2 in this case), but for some 'a' roots can be different and still have sum equal to 0",
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"id": 1001427168712208500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/26/2022 05:54:02",
"content": "oh",
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"id": 1001427173455966200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/26/2022 05:54:03",
"content": "ok",
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"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 05:55:18",
"content": "Available help channel!",
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{
"id": 1001437663385100400,
"author_id": 611136769840119800,
"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:35:44",
"content": "Why are differentials used for getting the maximum possible error? Say we have a measurement for the radius of a sphere with a max error of some small value and we want to find the max error for the volume. Why cant we just use delta radius? What I mean is getting the radius of the actual measurement we got and getting its volume and then subtracting that from the volume we get with the radius + the error?",
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"timestamp": "07/26/2022 06:35:45",
"content": "Pinned a message.",
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"author_id": 611136769840119800,
"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:38:24",
"content": "I apologize if my question is a bit vague. 😅",
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"id": 1001438601827057800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:39:28",
"content": "You're asking the wrong question imo",
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"id": 1001438631703097500,
"author_id": 611136769840119800,
"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:39:35",
"content": "How so?",
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{
"id": 1001438632986550400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:39:35",
"content": "Let me explain",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:40:09",
"content": "You are only asking about the ABSOLUTE error in the volume",
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"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:40:31",
"content": "Differentials would be used to find the error PER unit",
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"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:40:54",
"content": "How are they different?",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:41:42",
"content": "\"How much does the volume change for each cm of error in the radius?\"",
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"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:42:10",
"content": "That would be the sort of question you would answer using differentials",
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"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:42:24",
"content": "And that would yield a function of r and dr",
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"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:42:55",
"content": "ohh so does that mean the error could be greater than the absolute error?",
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"author_name": "Mr. Gamer",
"timestamp": "07/26/2022 06:44:46",
"content": "It means the error in the volume measurement depends on both the actual radius AND the error in the radius.\nLet's say for instance that r = 300 cm, and dr = 1 cm, then we would not expect too much of a (relative) error in the measurement in the volume.\nBut what if r = 2 cm, and dr = 1 cm?",
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"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:46:15",
"content": "i see i think i'm starting to get it",
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"author_name": "Nikoニコ～",
"timestamp": "07/26/2022 06:46:29",
"content": "thank you so much @Mr. Gamer",
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"timestamp": "07/26/2022 06:46:48",
"content": ".close",
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"timestamp": "07/26/2022 06:46:49",
"content": "Channel closed",
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}
] |
help-9
|
353afc30beae42a08300b43a2cbe87c5
|
197,437 |
[
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"timestamp": "03/21/2022 21:52:00",
"content": "Available help channel!",
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"id": 955645287072931800,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:53:11",
"content": "hey one second",
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"author_name": "Zephyr",
"timestamp": "03/21/2022 21:53:40",
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"id": 955645480786870300,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:53:57",
"content": "looking over notes and this is a snipper of me working on antiderivative of tanx",
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},
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"id": 955645517436698600,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:54:06",
"content": "and I don't understand the red arrow anymore",
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},
{
"id": 955645759485804500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/21/2022 21:55:04",
"content": "Not sure, but -1 ln(something) = ln(something⁻¹).",
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},
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"id": 955645877702250500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/21/2022 21:55:32",
"content": "So, probably that.",
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},
{
"id": 955645933473914900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/21/2022 21:55:45",
"content": "They put a -1 exponent with a logarithm property.",
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},
{
"id": 955645935512338400,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:55:46",
"content": "oh",
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},
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"id": 955645965560320000,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:55:53",
"content": "I don't like that",
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},
{
"id": 955645985588150400,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:55:58",
"content": "why would",
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},
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"author_name": "Zephyr",
"timestamp": "03/21/2022 21:56:07",
"content": "okay well that answer works lol it makes sense",
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"id": 955646035718439000,
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"timestamp": "03/21/2022 21:56:09",
"content": "thanks",
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},
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"id": 955646043154960400,
"author_id": 429126595937042500,
"author_name": "Zephyr",
"timestamp": "03/21/2022 21:56:11",
"content": ".close",
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},
{
"id": 955646044614574100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 21:56:12",
"content": "Channel closed",
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}
] |
help-9
|
d1ad0ee741cb4335b2858af5eb443fdf
|
197,438 |
[
{
"id": 959181480590979100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 16:04:45",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959190392778133500,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 16:40:10",
"content": "Task:\nConsider the CO2 concentration K in a randomly selected classroom\nwith students present. Assume that K is normally distributed with expectation 930 and standard\ndeviation 290.\n\nYou learn that 6% of classrooms have a higher CO2 concentration than x ppm.\nDetermine x.\n\nWhat I know:\nWe have to use the formula I added in the pic. I also know once we find Z it's all smooth sailing to find x.\n\nWhat I don't understand:\nHow does one find Z? I understand we have a table to find z values from the formula, but I'm still unsure how to utilize it",
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"timestamp": "03/31/2022 16:40:10",
"content": "Pinned a message.",
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{
"id": 959191744023498800,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 16:45:32",
"content": "I got this formula by rearranging the formula above",
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{
"id": 959194054753669100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 16:54:43",
"content": ",w int_a^inf exp(-x^2/2)/sqrt(2pi) = 0.06",
"attachments": [],
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"reference": null
},
{
"id": 959194221196230700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/31/2022 16:55:23",
"content": "",
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},
{
"id": 959194222160920600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/31/2022 16:55:23",
"content": "",
"attachments": [
{
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"fileName": "wolf.png",
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},
{
"id": 959194260631081100,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 16:55:32",
"content": "1.55 = z",
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},
{
"id": 959194500742389800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 16:56:29",
"content": "Do you have a calculator?",
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"reference": null
},
{
"id": 959194736068001800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 16:57:26",
"content": "@Chan",
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{
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"name": "Chan",
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"nickname": "Chan",
"isBot": false
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},
{
"id": 959195155414532200,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 16:59:06",
"content": "Yes",
"attachments": [],
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"name": "EndTimes",
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},
{
"id": 959195308229787800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 16:59:42",
"content": "Ti84?",
"attachments": [],
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"reference": null
},
{
"id": 959195399946653700,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:00:04",
"content": "One moment while I check",
"attachments": [],
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},
{
"id": 959195572600963100,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:00:45",
"content": "fx-82ex",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959195714141970400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 17:01:19",
"content": "Alright I'm not sure you can do it then on tbat",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959195715685470200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 17:01:19",
"content": "Can you evaluate integrals?",
"attachments": [],
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"reference": null
},
{
"id": 959195717119922300,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:01:19",
"content": "I also assume this is what we used earlier to find z?",
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"id": 959195770085605400,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:01:32",
"content": "No, I don't think so",
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},
{
"id": 959195798262906900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 17:01:39",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959195812506767400,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:01:42",
"content": "Though I do have another calc somewhere that can",
"attachments": [],
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},
{
"id": 959195885848391800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/31/2022 17:02:00",
"content": "exp(-x^2/2)/sqrt(2pi) is the standard normal dist",
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},
{
"id": 959196195086032900,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:03:13",
"content": "Thank you for clearing that up. I'll close the chat now",
"attachments": [],
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},
{
"id": 959196374656766000,
"author_id": 191217536568655870,
"author_name": "Chan",
"timestamp": "03/31/2022 17:03:56",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 959196376103784400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 17:03:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ae004c60bb7442b0801c882a9abca89a
|
197,439 |
[
{
"id": 1001440702695231500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 06:47:49",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1001441091540766700,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:49:22",
"content": "ok so",
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},
{
"id": 1001441095852499000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 06:49:23",
"content": "Pinned a message.",
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"id": 1001441106644443100,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:49:25",
"content": "what is amplitude",
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},
{
"id": 1001441174101446800,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:49:41",
"content": "like whats the amplitude of `y = sin(x)`",
"attachments": [],
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},
{
"id": 1001441188928307200,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 06:49:45",
"content": ",w amplitude",
"attachments": [],
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},
{
"id": 1001441204283646000,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:49:48",
"content": "is it the origin to the crest",
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},
{
"id": 1001441251880620000,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:50:00",
"content": ",w amplitude",
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},
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"author_name": "TeXit",
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"content": "",
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"content": "ok",
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"id": 1001441640881324000,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:51:33",
"content": "magnitude is 4",
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},
{
"id": 1001441660225458200,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:51:37",
"content": "and amplitude is 2 or -2",
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},
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"id": 1001441740722548700,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 06:51:56",
"content": "2 (according to the drawing)",
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},
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"id": 1001441845861159000,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:52:21",
"content": "wait 1 or 2",
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},
{
"id": 1001442109917773800,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:53:24",
"content": "ok so this is a sin function",
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"id": 1001442141614121000,
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"timestamp": "07/26/2022 06:53:32",
"content": "amplitude is 1",
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},
{
"id": 1001442156113842200,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:53:35",
"content": "and magnitude is 2?",
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"id": 1001442222861983700,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:53:51",
"content": "equlivrium is y = 0",
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},
{
"id": 1001442380710412300,
"author_id": 655263219459293200,
"author_name": "il798li",
"timestamp": "07/26/2022 06:54:29",
"content": ".close",
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"reference": null
},
{
"id": 1001442382597865600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 06:54:29",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5b7ddf18bce34f1181733427ee00def3
|
197,440 |
[
{
"id": 1001443619749765200,
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"timestamp": "07/26/2022 06:59:24",
"content": "Available help channel!",
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},
{
"id": 1001444380156108900,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:02:26",
"content": "Hi is this channel in use?",
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},
{
"id": 1001444382488154200,
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"content": "Pinned a message.",
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"timestamp": "07/26/2022 07:02:44",
"content": "no, :JustAsk:",
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},
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"id": 1001444472665690100,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:02:48",
"content": "Gotcha",
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},
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"id": 1001444514013122600,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:02:58",
"content": "I just had a question regarding simultaneous equations",
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},
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"id": 1001444557017317400,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:03:08",
"content": "I was working out a 3 step question I'll send a pic real fast",
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},
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"id": 1001444604039671800,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:03:19",
"content": "",
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"author_name": "Joey.",
"timestamp": "07/26/2022 07:03:42",
"content": "I know how to do it and what answer I'm meant to get, I just don't know what to do if one of the variables is negative",
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},
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"id": 1001444759006609400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/26/2022 07:03:56",
"content": "probably means you messed up",
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},
{
"id": 1001444795681611800,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:04:05",
"content": "Right. I chucked it in the calculator",
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},
{
"id": 1001444814304333800,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:04:09",
"content": "Usually these answers aren't like that",
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},
{
"id": 1001444875314671700,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:04:24",
"content": "If it's okay with you could you quickly double check what you got for x y z ?",
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"id": 1001445039098056700,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:05:03",
"content": "Hmm you're right I misread one of the equations dammit",
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"id": 1001445691157123200,
"author_id": 456712847481634800,
"author_name": "Joey.",
"timestamp": "07/26/2022 07:07:38",
"content": "I have to convert kg's to g's right ?",
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"id": 1001445713328222200,
"author_id": 456712847481634800,
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"timestamp": "07/26/2022 07:07:44",
"content": "Just to match the other variables",
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"timestamp": "07/26/2022 07:22:44",
"content": "@Joey. Has your question been resolved?",
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"author_name": "Tom",
"timestamp": "07/26/2022 07:23:02",
"content": "that would probably be a good idea",
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"timestamp": "07/26/2022 07:37:44",
"content": "Channel closed",
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}
] |
help-9
|
e090c73ecb754680b9153662deb0a626
|
197,441 |
[
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"timestamp": "07/26/2022 07:40:47",
"content": "Available help channel!",
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"id": 1001454573141119100,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:42:56",
"content": "hello",
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"author_name": "Jester",
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"content": "Hello",
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"author_name": "! Rafikbenk",
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"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:46:00",
"content": "irreducible fracture m/n",
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},
{
"id": 1001455425771810800,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:46:19",
"content": "so my problem is that i know the solution bt i don't know how to explain it to others",
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"id": 1001455729615568900,
"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/26/2022 07:47:32",
"content": "m<n, right?",
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"id": 1001455760200446000,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:47:39",
"content": "i found that \n$$20!=2^{18}\\cdot 3^8\\cdot 5^4\\cdot 7^2\\cdot 11\\cdot 13\\cdot 17\\cdot 19$$",
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},
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"id": 1001455772238094300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/26/2022 07:47:42",
"content": "**! rafikbenk**",
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"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:47:43",
"content": "yes",
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"id": 1001455869898268800,
"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/26/2022 07:48:05",
"content": "so you could have a whole heap of answers, for example",
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"id": 1001455938756169700,
"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/26/2022 07:48:21",
"content": "19! = n, 20 = m",
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"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/26/2022 07:48:24",
"content": "maybe?",
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"id": 1001455959085940700,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:48:26",
"content": "yes ik the solution i need help for ecplain it",
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},
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"id": 1001455987359760400,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:48:33",
"content": "oh no",
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"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:48:43",
"content": "irreducible fracture m/n",
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"id": 1001456055420731500,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:48:49",
"content": "i said that",
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"id": 1001456122156306400,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/26/2022 07:49:05",
"content": "m=1, n =20!",
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"id": 1001456132432330900,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/26/2022 07:49:08",
"content": "problem solved",
"attachments": [],
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{
"id": 1001456192427671600,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:49:22",
"content": "that 1 solution",
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},
{
"id": 1001456210958102500,
"author_id": 521067597891108860,
"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:49:26",
"content": "i need all the solutions",
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"id": 1001456224237269000,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "07/26/2022 07:49:30",
"content": "oh",
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"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/26/2022 07:49:30",
"content": "oh, sorry. Wasn't aware of what you meant. Mb.",
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"author_name": "Delectable Worm",
"timestamp": "07/26/2022 07:50:39",
"content": "Well because you have all the prime factors, then if you pick one specific number (raised to the power if necessary) for m?",
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"id": 1001456781215678600,
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"author_name": "! Rafikbenk",
"timestamp": "07/26/2022 07:51:42",
"content": "i just need to explain it to the teacher",
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"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 08:06:43",
"content": "@! Rafikbenk Has your question been resolved?",
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"timestamp": "07/26/2022 08:37:18",
"content": "@! Rafikbenk Has your question been resolved?",
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"timestamp": "07/26/2022 08:37:25",
"content": "Channel closed",
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}
] |
help-9
|
a93b3e8fe35f4ff4a91b69bf788cf2ca
|
197,442 |
[
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"timestamp": "07/26/2022 08:38:26",
"content": "Available help channel!",
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},
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"id": 1001472333946556400,
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"content": "Pinned a message.",
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"timestamp": "07/26/2022 08:53:50",
"content": "Wait nvm",
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"content": ".close",
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] |
help-9
|
1e16ee6abff546438163bbf24f7600d0
|
197,443 |
[
{
"id": 1001478377544368300,
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"content": "Available help channel!",
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{
"id": 1001478872560320500,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/26/2022 09:19:29",
"content": "hi how do i factorise this?",
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"content": "Pinned a message.",
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{
"id": 1001479255064068200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/26/2022 09:21:00",
"content": "it's a difference of squares",
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},
{
"id": 1001479273535783000,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/26/2022 09:21:05",
"content": "yes",
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{
"id": 1001479275247055000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/26/2022 09:21:05",
"content": "(a+b)(a-b)=a^2-b^2",
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},
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"id": 1001479309183168500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/26/2022 09:21:13",
"content": "what are a and b?",
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"id": 1001479351960866800,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/26/2022 09:21:24",
"content": "7 and x+3",
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},
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"id": 1001479537080672400,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/26/2022 09:22:08",
"content": "but its a -(x+3) and i get confused by that",
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"id": 1001479603581354000,
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"timestamp": "07/26/2022 09:22:24",
"content": "it's -(x+3)^2",
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"id": 1001479624469004300,
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"author_name": "Denascite",
"timestamp": "07/26/2022 09:22:29",
"content": "just like it is -b^2",
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"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "07/26/2022 09:22:33",
"content": "oh yes",
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},
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"id": 1001480017693376600,
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"author_name": "cumquat",
"timestamp": "07/26/2022 09:24:02",
"content": "how do i lay it out?",
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"timestamp": "07/26/2022 09:24:45",
"content": "wdym",
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"id": 1001480216151072900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/26/2022 09:24:50",
"content": "you have a=7 and b=x+3",
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"id": 1001480244567474200,
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"timestamp": "07/26/2022 09:24:56",
"content": "then you just plug those into (a+b)(a-b)",
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"id": 1001480929514111000,
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"author_name": "cumquat",
"timestamp": "07/26/2022 09:27:40",
"content": "i got this and its worng",
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"id": 1001481211052556300,
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"author_name": "Denascite",
"timestamp": "07/26/2022 09:28:47",
"content": "7+(x+3)=10+x",
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"id": 1001481235345985500,
"author_id": 132304137583984640,
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"timestamp": "07/26/2022 09:28:53",
"content": "7-(x+3)=4-x",
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"id": 1001481771801661400,
"author_id": 491595139966566400,
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"timestamp": "07/26/2022 09:31:01",
"content": "im cofnused",
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"timestamp": "07/26/2022 09:33:19",
"content": "a+b=7+(x+3)=7+x+3=7+3+x=10+x",
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"id": 1001485176318206100,
"author_id": 785526932007026700,
"author_name": "+Φphi",
"timestamp": "07/26/2022 09:44:32",
"content": "(7-(x+3))(7+(x+3))\n= (7-x-3)(7+x+3)\n= (4-x)(10+x) or -(x-4)(x+10)",
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"timestamp": "07/26/2022 09:49:33",
"content": "@cumquat Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
9007935261e548c6b79e3fc0302033de
|
197,444 |
[
{
"id": 1001500614724944000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 10:45:53",
"content": "Available help channel!",
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},
{
"id": 1001502839832584300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 10:54:44",
"content": "How should I approach this? If sin theta becomes maximum then cos becomes zero, if cos theta becomes maximum then sin theta becomes minimum. I wondered about 45°, but if I insert the value then my answer doesn't match any of the options.",
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"id": 1001503057873486000,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/26/2022 10:55:36",
"content": "u know derivatives?",
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"id": 1001503085765591000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 10:55:42",
"content": "🥴",
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"id": 1001503105063583900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 10:55:47",
"content": "sadly no.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 10:56:12",
"content": "So I need to know calculus for this?",
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"timestamp": "07/26/2022 10:56:15",
"content": "demn",
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"id": 1001503584053100700,
"author_id": 264901235834880000,
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"timestamp": "07/26/2022 10:57:41",
"content": "Ah it's about range, mb",
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"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/26/2022 10:58:05",
"content": "you can use cauchy scwartz i believe",
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"timestamp": "07/26/2022 10:58:08",
"content": "not necessarily then",
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"author_id": 456226577798135800,
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"timestamp": "07/26/2022 10:58:33",
"content": "🥴 :thonkzoom:",
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"id": 1001503832657895400,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/26/2022 10:58:40",
"content": "do u have the answer",
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"id": 1001503881534120100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/26/2022 10:58:52",
"content": "wait a minute",
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"author_name": "Agatsuma",
"timestamp": "07/26/2022 10:59:46",
"content": "is the answer ||$3\\cdot\\sqrt[4]2$||",
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"timestamp": "07/26/2022 10:59:48",
"content": "**blueberry faygo**",
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"timestamp": "07/26/2022 10:59:49",
"content": "u can also try to make it of form a * sin(x + b)",
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"timestamp": "07/26/2022 11:00:08",
"content": "using sin(A+B)",
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"id": 1001504201416921100,
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"author_name": "Agatsuma",
"timestamp": "07/26/2022 11:00:08",
"content": "o wait",
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"timestamp": "07/26/2022 11:00:11",
"content": "its not even in the options",
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"author_name": "Agatsuma",
"timestamp": "07/26/2022 11:00:26",
"content": ":kekw:",
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"timestamp": "07/26/2022 11:00:51",
"content": ":monkaS:",
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"timestamp": "07/26/2022 11:00:57",
"content": "nvm im retarde",
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"timestamp": "07/26/2022 11:01:02",
"content": "i forgot to square sorry lol",
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"timestamp": "07/26/2022 11:01:08",
"content": "u can just use cauchy scwartz and you are done",
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"timestamp": "07/26/2022 11:01:28",
"content": "I found this :thonkzoom:",
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"timestamp": "07/26/2022 11:01:51",
"content": "that is using cauchy swartz",
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"timestamp": "07/26/2022 11:02:04",
"content": "I think I missed something in the lecture. :kongouDerp:",
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"id": 1001504720013250700,
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"timestamp": "07/26/2022 11:02:12",
"content": "wrong image",
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"author_name": "Agatsuma",
"timestamp": "07/26/2022 11:02:25",
"content": "",
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"timestamp": "07/26/2022 11:02:34",
"content": "Thanks man",
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"id": 1001504817593724900,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/26/2022 11:02:35",
"content": "there is this inequality that is helpful to know",
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"timestamp": "07/26/2022 11:03:07",
"content": "this works because the sqrt (sin^2x+cos^2x) = sqrt1=1",
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"content": ":catthumbsup:",
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"timestamp": "07/26/2022 11:03:34",
"content": "Thanks man",
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"timestamp": "07/26/2022 11:03:41",
"content": "no problem",
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"timestamp": "07/26/2022 11:03:47",
"content": ".close",
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help-9
|
e6d264aaa19c4fcaaa2bda4a96476048
|
197,445 |
[
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"timestamp": "07/26/2022 11:44:30",
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"id": 1001516349635428500,
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"author_name": "talia",
"timestamp": "07/26/2022 11:48:25",
"content": "how would i find the value of k",
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"content": "Pinned a message.",
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"timestamp": "07/26/2022 11:48:31",
"content": "would i set x to 0?",
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"timestamp": "07/26/2022 11:49:19",
"content": "what does it mean for a quadratic to touch the x axis mathematically",
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"timestamp": "07/26/2022 11:49:28",
"content": "how would u describe it algebrically i mean",
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"timestamp": "07/26/2022 11:49:34",
"content": "there is one x",
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"timestamp": "07/26/2022 11:49:57",
"content": "i think",
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"timestamp": "07/26/2022 11:50:02",
"content": "no",
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"timestamp": "07/26/2022 11:50:42",
"content": "consider this",
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"id": 1001516956689649800,
"author_id": 909734400990785500,
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"timestamp": "07/26/2022 11:50:49",
"content": "the point marked in black",
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"id": 1001516983713550500,
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"timestamp": "07/26/2022 11:50:56",
"content": "is where the quad intersects",
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"id": 1001516995323363300,
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"timestamp": "07/26/2022 11:50:58",
"content": "the x axis",
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"id": 1001517021365801000,
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"timestamp": "07/26/2022 11:51:05",
"content": "thats the point where y=0",
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"timestamp": "07/26/2022 11:51:19",
"content": "[the roots of the quadratic]",
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"timestamp": "07/26/2022 11:51:21",
"content": "so y would = 0 in this case",
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"id": 1001517110255685800,
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"timestamp": "07/26/2022 11:51:26",
"content": "yes",
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"timestamp": "07/26/2022 11:51:32",
"content": "and to find x i set y to 0",
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"id": 1001517234717478900,
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"timestamp": "07/26/2022 11:51:56",
"content": "now rephrase your question \n\nfor what value of k would \n\n$x^2-kx+k+8=0$ have 1 solution",
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"timestamp": "07/26/2022 11:52:05",
"content": "**Normal Cat**",
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"timestamp": "07/26/2022 11:52:17",
"content": "not needed tho",
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"content": "if x were 0 or 1",
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"content": "what??",
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"timestamp": "07/26/2022 11:52:55",
"content": "oh shi",
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"timestamp": "07/26/2022 11:53:06",
"content": "sorry im looking at values of k",
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"timestamp": "07/26/2022 11:53:15",
"content": "oh",
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"timestamp": "07/26/2022 11:53:19",
"content": "thats what im confused about",
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"timestamp": "07/26/2022 11:53:24",
"content": "well thats not correct",
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"timestamp": "07/26/2022 11:53:31",
"content": "a qudratic equation",
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"content": "has 1 solution",
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"timestamp": "07/26/2022 11:53:42",
"content": "what does it tell u about the quadratic",
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"timestamp": "07/26/2022 11:53:53",
"content": "negative",
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"timestamp": "07/26/2022 11:53:58",
"content": "its negative?",
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"timestamp": "07/26/2022 11:54:06",
"content": "or equal to 0",
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"timestamp": "07/26/2022 11:54:08",
"content": "stop taking a guess first af all",
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"timestamp": "07/26/2022 11:54:09",
"content": "one of those",
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"timestamp": "07/26/2022 11:54:25",
"content": "sorry im not guessing im syaing stuff based on what i know",
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"timestamp": "07/26/2022 11:54:40",
"content": "have you learned qudratic formula?",
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"timestamp": "07/26/2022 11:54:48",
"content": "it can be done without that as well",
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"timestamp": "07/26/2022 11:55:02",
"content": "y=x^2",
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"timestamp": "07/26/2022 11:55:20",
"content": "no",
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"timestamp": "07/26/2022 11:55:40",
"content": "$\\frac{-b \\pm \\sqrt{b^2-4ac}}{2a}$",
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"timestamp": "07/26/2022 11:55:42",
"content": "**Normal Cat**",
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"timestamp": "07/26/2022 11:55:51",
"content": "this is the quadratic formula",
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"timestamp": "07/26/2022 11:55:54",
"content": "have u learnt it?",
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"timestamp": "07/26/2022 11:55:59",
"content": "new to it",
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"timestamp": "07/26/2022 11:56:09",
"content": "ive had it mentioned",
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"timestamp": "07/26/2022 11:56:14",
"content": "oh ok",
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"timestamp": "07/26/2022 11:56:24",
"content": "then when will a quadratic have 1 solution",
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"timestamp": "07/26/2022 11:56:35",
"content": "what should it satisfy",
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"timestamp": "07/26/2022 11:56:41",
"content": "in the formula",
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"timestamp": "07/26/2022 11:58:06",
"content": "if you evaluate whats under the square root , and its equal to 0 then it is 1 solution",
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"timestamp": "07/26/2022 11:58:16",
"content": "correct!",
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"timestamp": "07/26/2022 11:58:32",
"content": "so \n\n$b^2-4ac=0$",
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"timestamp": "07/26/2022 11:58:36",
"content": "**Normal Cat**",
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"timestamp": "07/26/2022 11:58:41",
"content": "what's b in ur case?",
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"timestamp": "07/26/2022 11:59:10",
"content": "-1",
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"timestamp": "07/26/2022 11:59:32",
"content": "b is not the coefficient of k",
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"timestamp": "07/26/2022 11:59:42",
"content": "it's the coefficient of x",
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"timestamp": "07/26/2022 11:59:52",
"content": "so -k?",
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"id": 1001519250256691200,
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"timestamp": "07/26/2022 11:59:56",
"content": "yes",
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"id": 1001519261652635600,
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"timestamp": "07/26/2022 11:59:59",
"content": "what's a?",
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"timestamp": "07/26/2022 12:00:04",
"content": "1",
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"id": 1001519307731247100,
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"timestamp": "07/26/2022 12:00:10",
"content": "and c?",
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"id": 1001519325917741000,
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"author_name": "talia",
"timestamp": "07/26/2022 12:00:14",
"content": "8",
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"id": 1001519344200716300,
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"timestamp": "07/26/2022 12:00:18",
"content": "no",
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"timestamp": "07/26/2022 12:00:24",
"content": "look closely",
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"timestamp": "07/26/2022 12:00:37",
"content": "1?",
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"id": 1001519456754872300,
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"timestamp": "07/26/2022 12:00:45",
"content": "no not that their",
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"timestamp": "07/26/2022 12:01:22",
"content": "wait would c be k+8",
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"id": 1001519632395550800,
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"timestamp": "07/26/2022 12:01:27",
"content": "yes",
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"timestamp": "07/26/2022 12:01:45",
"content": "so now u have a equation\n\n$k^2-4(k+8)=0$",
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"timestamp": "07/26/2022 12:01:47",
"content": "**Normal Cat**",
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"timestamp": "07/26/2022 12:01:56",
"content": "from which u can solve for k",
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"timestamp": "07/26/2022 12:02:30",
"content": "where is a in this case",
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"timestamp": "07/26/2022 12:02:36",
"content": "a is 1",
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"timestamp": "07/26/2022 12:02:42",
"content": "ohhh",
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"timestamp": "07/26/2022 12:02:42",
"content": "and multplying by 1 is same thing",
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"timestamp": "07/26/2022 12:02:43",
"content": "ok",
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"timestamp": "07/26/2022 12:03:53",
"content": "so k = -32/-3",
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"timestamp": "07/26/2022 12:04:15",
"content": "how",
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"timestamp": "07/26/2022 12:04:35",
"content": "expand it \n\n$k^2-4k-4*8=0$",
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"timestamp": "07/26/2022 12:04:38",
"content": "**Normal Cat**",
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"timestamp": "07/26/2022 12:04:44",
"content": "now u can factor it",
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"timestamp": "07/26/2022 12:04:54",
"content": "Oh",
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"timestamp": "07/26/2022 12:04:58",
"content": "I need to factor",
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"timestamp": "07/26/2022 12:05:13",
"content": "yes",
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"timestamp": "07/26/2022 12:05:28",
"content": "u forgot the second power of k",
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"timestamp": "07/26/2022 12:06:08",
"content": "so k is -4 or 8",
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"timestamp": "07/26/2022 12:06:50",
"content": "oh wai tno",
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"timestamp": "07/26/2022 12:06:51",
"content": "ya",
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"timestamp": "07/26/2022 12:06:54",
"content": "-8 and 4?",
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"content": "how",
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"timestamp": "07/26/2022 12:07:11",
"content": "cause add to -4 multiply to -32",
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"timestamp": "07/26/2022 12:07:19",
"content": "-4 + 8 = 4",
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"timestamp": "07/26/2022 12:07:26",
"content": "-8 + 4 = -4",
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"timestamp": "07/26/2022 12:08:20",
"content": "$k^2-8k+4k-4*8=0$ \n\n$\\implies k(k-8) + 4(k-8)=0$ \n\n$\\implies (k+4) (k-8)=0$",
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"id": 1001521445500895400,
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"author_name": "TeXit",
"timestamp": "07/26/2022 12:08:39",
"content": "**Normal Cat**",
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"timestamp": "07/26/2022 12:08:43",
"content": "this is how the factoring goes",
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"id": 1001521598819479700,
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"author_name": "talia",
"timestamp": "07/26/2022 12:09:16",
"content": "oh so yeah the k would be the opposite of the signs is the brackets",
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},
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"timestamp": "07/26/2022 12:11:40",
"content": "yes but why",
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"timestamp": "07/26/2022 12:12:04",
"content": "cause it would be k+4=0",
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"id": 1001522328234115200,
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"timestamp": "07/26/2022 12:12:10",
"content": "then k=-4",
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"id": 1001522369912913900,
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"author_name": "talia",
"timestamp": "07/26/2022 12:12:20",
"content": "moving it across the equal sign",
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"content": ":catthumbsup:",
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"timestamp": "07/26/2022 12:12:42",
"content": "yahoo!",
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"id": 1001522471230509000,
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"author_name": "talia",
"timestamp": "07/26/2022 12:12:44",
"content": "thanks!",
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"id": 1001522510531133600,
"author_id": 328612257032437760,
"author_name": "talia",
"timestamp": "07/26/2022 12:12:53",
"content": ".close",
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},
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"id": 1001522512255013000,
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"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 12:12:54",
"content": "Channel closed",
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}
] |
help-9
|
d48b610f02ef4a97b1c1f62e0b3d5678
|
197,446 |
[
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"id": 1001526442473046100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 12:28:31",
"content": "Available help channel!",
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"id": 1001540163433926800,
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"author_name": "Maxitac",
"timestamp": "07/26/2022 13:23:02",
"content": "When proving that root 3 is an irrational number using conntradiction method, say a/b.....we reach a point where we say a squared is a factor of 3 thus a is also a factor of three, why is that so? Please explain in full.",
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"content": "Pinned a message.",
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"author_name": "gfauxpas",
"timestamp": "07/26/2022 13:26:37",
"content": "are you typing this up from somewhere? it should be \"3 is a factor of a^2\", not the other way around",
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"timestamp": "07/26/2022 13:27:33",
"content": "Right. My mistake.",
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"id": 1001541418663284700,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/26/2022 13:28:01",
"content": "² numbers have duplicate factors",
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"id": 1001542449337995500,
"author_id": 697068476023701600,
"author_name": "Maxitac",
"timestamp": "07/26/2022 13:32:07",
"content": "i dont get it",
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},
{
"id": 1001542547782504600,
"author_id": 205675981845954560,
"author_name": "gfauxpas",
"timestamp": "07/26/2022 13:32:31",
"content": "do you know the fundamental theorem of arithmetic?",
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"id": 1001542589050278000,
"author_id": 205675981845954560,
"author_name": "gfauxpas",
"timestamp": "07/26/2022 13:32:40",
"content": "every number has a unique prime factorization?",
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},
{
"id": 1001543417513386000,
"author_id": 697068476023701600,
"author_name": "Maxitac",
"timestamp": "07/26/2022 13:35:58",
"content": "Yes every number>1",
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"id": 1001543624053502100,
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"author_name": "Maxitac",
"timestamp": "07/26/2022 13:36:47",
"content": "But why do we say 3 is a factor of a?",
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"id": 1001543876290560100,
"author_id": 205675981845954560,
"author_name": "gfauxpas",
"timestamp": "07/26/2022 13:37:47",
"content": "(1 has a unique factorization of the product of no factors, but that's a tangent)",
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},
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"id": 1001544106926944300,
"author_id": 205675981845954560,
"author_name": "gfauxpas",
"timestamp": "07/26/2022 13:38:42",
"content": "let's say $a^3 = (p_1 p_2^3 p_3)^3$ for 3 prime numbers $p_n$",
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"author_name": "TeXit",
"timestamp": "07/26/2022 13:38:56",
"content": "**gfauxpas**",
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"author_id": 205675981845954560,
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"timestamp": "07/26/2022 13:39:20",
"content": "distinct primes",
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},
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"id": 1001544307926384800,
"author_id": 205675981845954560,
"author_name": "gfauxpas",
"timestamp": "07/26/2022 13:39:30",
"content": "the only way a^3 is going to be divisible by 3 is if one of those prime numbers is 3",
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"timestamp": "07/26/2022 13:39:47",
"content": "and no matter which it is, it's going to be cubed, because the whole number is cubed",
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"timestamp": "07/26/2022 13:51:48",
"content": "@Maxitac Has your question been resolved?",
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"timestamp": "07/26/2022 13:51:58",
"content": "Channel closed",
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}
] |
help-9
|
3cb315e6eebe46fb885f7a72213f89f9
|
197,447 |
[
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"timestamp": "07/26/2022 13:52:58",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "07/26/2022 14:03:52",
"content": "hi all, could someone walk me through this problem via voicechat",
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"author_id": 243149174487384060,
"author_name": "FancyGiraffe",
"timestamp": "07/26/2022 14:04:46",
"content": "in https://discord.com/channels/268882317391429632/504761504571326464",
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},
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"id": 1001551587837235300,
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"timestamp": "07/26/2022 14:08:26",
"content": "@Helpers",
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"timestamp": "07/26/2022 14:23:26",
"content": "@FancyGiraffe Has your question been resolved?",
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help-9
|
1b6c88e9f5744a9b96fea4b9f5cfe2e2
|
197,448 |
[
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"content": "qn?",
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help-9
|
81a7b6e6e12542d084411a8372d8be19
|
197,449 |
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"id": 959200651999600800,
"author_id": 928759374682423300,
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"content": "how do I rationalize the denominator for the question 9⁄∛4",
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"content": "@JRocket Has your question been resolved?",
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"content": "multiply denom and num by the root",
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"content": "so the numerator becomes a integer",
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"content": "do I multiply by the conjugate 4 exponents 2/3 @Eggy the Egg btw sorry I was gone for a bit",
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"timestamp": "03/31/2022 18:18:31",
"content": "@JRocket Has your question been resolved?",
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"timestamp": "03/31/2022 18:48:31",
"content": "Channel closed",
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}
] |
help-9
|
2e5be08603244fdfbb442d903a7c6709
|
197,450 |
[
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"timestamp": "07/26/2022 19:08:24",
"content": "Available help channel!",
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},
{
"id": 1001628561905569800,
"author_id": 252669593317933060,
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"content": "Are these all good?",
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"content": "@sidney Has your question been resolved?",
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] |
help-9
|
c1bceefa45d046d39bc406ffe58e6b3f
|
197,451 |
[
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"timestamp": "07/26/2022 19:50:38",
"content": "Available help channel!",
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},
{
"id": 1001642605530054800,
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},
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"content": ".close",
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},
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}
] |
help-9
|
c60a49e86ef34b298009c5090fb000e9
|
197,452 |
[
{
"id": 1001652788029308900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/26/2022 20:50:34",
"content": "Available help channel!",
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},
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"id": 1001655798537142300,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:02:32",
"content": "Could someone please explain to me how the answer is achieved and how Sadie made the error?",
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"content": "Pinned a message.",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/26/2022 21:06:30",
"content": "I would suspect it's related to the fact that only a is said to be greater than or equal to 0",
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"id": 1001657406054473900,
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"author_name": "Bug",
"timestamp": "07/26/2022 21:08:55",
"content": "Is that 'i know' or 'i think'",
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"id": 1001657502846435300,
"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:09:18",
"content": "Why can you say the the root of a² is a?",
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"id": 1001657537529123000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/26/2022 21:09:26",
"content": "I think, but I think confidently",
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"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:09:33",
"content": "And are you sure the root of b² is b?",
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},
{
"id": 1001657594588430500,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:09:40",
"content": "understood",
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"id": 1001657681150480400,
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"timestamp": "07/26/2022 21:10:01",
"content": "i do not know what that means",
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"id": 1001657793356497000,
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"author_name": "Bug",
"timestamp": "07/26/2022 21:10:27",
"content": "im going to be honest i listened to the lesson over and over again and it did not do anything to teach me",
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"id": 1001657882380599300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/26/2022 21:10:49",
"content": "They're asking if √(b²) really is b",
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"id": 1001657990115512400,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:11:14",
"content": "oh, the square root",
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"id": 1001658056809132000,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:11:30",
"content": "I dont see why it wouldnt be",
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"id": 1001658095602254000,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:11:39",
"content": "unless it's negative? maybe?",
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{
"id": 1001658140619714700,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:11:50",
"content": "i dont know",
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"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:12:02",
"content": "You're on the right track.",
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"author_name": "Bug",
"timestamp": "07/26/2022 21:12:30",
"content": "alr, thank you",
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"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:12:33",
"content": "What is (-2)²?",
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"id": 1001658396698755100,
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"author_name": "Bug",
"timestamp": "07/26/2022 21:12:51",
"content": "-4",
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"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:13:00",
"content": "Not quite",
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},
{
"id": 1001658459860779000,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:13:06",
"content": "what",
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"id": 1001658491133505700,
"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:13:14",
"content": "A square is always positive",
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"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:13:20",
"content": "(-2)²=4",
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{
"id": 1001658535303712900,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:13:24",
"content": "WHAT",
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{
"id": 1001658580010811500,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:13:35",
"content": "i did not learn that",
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},
{
"id": 1001658595953352700,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:13:39",
"content": "thank you",
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{
"id": 1001658644645023900,
"author_id": 730028793875398700,
"author_name": "Blaxapate",
"timestamp": "07/26/2022 21:13:50",
"content": "You must have learned it at some point",
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"timestamp": "07/26/2022 21:13:57",
"content": "a negative times a negative is a positive",
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"id": 1001658743953555500,
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"timestamp": "07/26/2022 21:14:14",
"content": "oh",
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"id": 1001658767672365000,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:14:20",
"content": "that makes a lot of sense",
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"id": 1001658828229705700,
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"author_name": "Bug",
"timestamp": "07/26/2022 21:14:34",
"content": "and a quick question",
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"id": 1001658989446168600,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:15:13",
"content": "it cut off a little",
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{
"id": 1001659051937108100,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:15:27",
"content": "but how does the 2nd and 3rd simplification work?",
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"id": 1001659096996515800,
"author_id": 826613001914024000,
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"timestamp": "07/26/2022 21:15:38",
"content": "like the transition from 2nd and 3rd",
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{
"id": 1001659307877736400,
"author_id": 826613001914024000,
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"timestamp": "07/26/2022 21:16:28",
"content": "i get how the 3 got on the outside of the square root",
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},
{
"id": 1001659389750558800,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:16:48",
"content": "but the a and b stuff is confusing me",
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},
{
"id": 1001659853393109000,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:18:38",
"content": "wait nvm",
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},
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"id": 1001659898477678700,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:18:49",
"content": "nvm all of that",
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},
{
"id": 1001659908791476400,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:18:52",
"content": "actually",
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},
{
"id": 1001660056464523400,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:19:27",
"content": "hold on",
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},
{
"id": 1001660671777312800,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:21:54",
"content": "wait yea what was the error",
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},
{
"id": 1001661008525402200,
"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/26/2022 21:23:14",
"content": "nvm ill just come back if i have more questions",
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},
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"id": 1001661013399187500,
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"timestamp": "07/26/2022 21:23:15",
"content": "sorry",
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},
{
"id": 1001661021473218700,
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"author_name": "Bug",
"timestamp": "07/26/2022 21:23:17",
"content": ".close",
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},
{
"id": 1001661022945431700,
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"content": "Channel closed",
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}
] |
help-9
|
26a2545848f44b13a65b86e62bab1672
|
197,453 |
[
{
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"timestamp": "07/26/2022 21:34:35",
"content": "Available help channel!",
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},
{
"id": 1001664245051695200,
"author_id": 805217272087838700,
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"timestamp": "07/26/2022 21:36:06",
"content": "Pinned a message.",
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{
"id": 1001664267407335600,
"author_id": 528287089830395900,
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"timestamp": "07/26/2022 21:36:11",
"content": "o shit",
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},
{
"id": 1001664353096970400,
"author_id": 528287089830395900,
"author_name": "sarc /s",
"timestamp": "07/26/2022 21:36:31",
"content": "i know how to get it but the g^5*0 is throwing me off",
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},
{
"id": 1001665978805006500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/26/2022 21:42:59",
"content": "differentiate 5 times",
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},
{
"id": 1001666059398545500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/26/2022 21:43:18",
"content": "the parentheses in the superscript are important",
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},
{
"id": 1001666134543704200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/26/2022 21:43:36",
"content": "it's notation",
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},
{
"id": 1001666182883053600,
"author_id": 528287089830395900,
"author_name": "sarc /s",
"timestamp": "07/26/2022 21:43:48",
"content": "yeh",
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},
{
"id": 1001666195273027700,
"author_id": 528287089830395900,
"author_name": "sarc /s",
"timestamp": "07/26/2022 21:43:51",
"content": "so im a bit stuck",
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},
{
"id": 1001666202977968100,
"author_id": 528287089830395900,
"author_name": "sarc /s",
"timestamp": "07/26/2022 21:43:52",
"content": "like",
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},
{
"id": 1001666231172079600,
"author_id": 528287089830395900,
"author_name": "sarc /s",
"timestamp": "07/26/2022 21:43:59",
"content": "diffrentiate g(x) 5 times?",
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},
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"id": 1001666253318017000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/26/2022 21:44:04",
"content": "yes",
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"author_name": "sarc /s",
"timestamp": "07/26/2022 21:44:42",
"content": "okay now what",
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"timestamp": "07/26/2022 21:45:00",
"content": "I don't think thats how I should solve this",
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"id": 1001666488962404500,
"author_id": 528287089830395900,
"author_name": "sarc /s",
"timestamp": "07/26/2022 21:45:01",
"content": "this is",
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"id": 1001666510974091400,
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"author_name": "sarc /s",
"timestamp": "07/26/2022 21:45:06",
"content": "Maclaurin series",
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"author_name": "sarc /s",
"timestamp": "07/26/2022 21:55:24",
"content": ".close",
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"timestamp": "07/26/2022 21:55:24",
"content": "Channel closed",
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}
] |
help-9
|
bf6a32a596ac4c7f9ad9f6a103fe4589
|
197,454 |
[
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"content": "Available help channel!",
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"id": 1001670293791719400,
"author_id": 701898329642107000,
"author_name": "elle?",
"timestamp": "07/26/2022 22:00:08",
"content": "can some1 help me :)",
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"id": 1001673164264325100,
"author_id": 239501588589182980,
"author_name": "Ray",
"timestamp": "07/26/2022 22:11:32",
"content": "use angle addition identity on sin(wt + phi)",
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"author_name": "Ray",
"timestamp": "07/26/2022 22:12:41",
"content": "you'll get two equations.\nAcos(phi) = c2, Asin(phi) = c1\nsquare these equations and add them and then u can solve for A and phi",
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"author_name": "elle?",
"timestamp": "07/26/2022 22:16:55",
"content": "What do i write for the proof, i dont really get what it wants me to say",
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"timestamp": "07/26/2022 22:17:51",
"content": "u need to just manipulate one side of equation until u get the same thing as the other side",
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"id": 1001674839746150400,
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"author_name": "Ray",
"timestamp": "07/26/2022 22:18:12",
"content": "doing that requires u to solve for A and phi in terms of c2 and c1",
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"timestamp": "07/26/2022 22:23:47",
"content": "Oh ok",
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"timestamp": "07/26/2022 22:24:16",
"content": "do you mind writing out the steps id do",
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"id": 1001676641237467300,
"author_id": 239501588589182980,
"author_name": "Ray",
"timestamp": "07/26/2022 22:25:21",
"content": "sorry im reading diary of a wimpy kid rn. good luck",
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"author_name": "elle?",
"timestamp": "07/26/2022 22:27:53",
"content": ".close",
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"timestamp": "07/26/2022 22:27:53",
"content": "Channel closed",
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}
] |
help-9
|
f95effc3b2024124b426c2bafbb1cdbe
|
197,455 |
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"timestamp": "07/26/2022 22:28:54",
"content": "Available help channel!",
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"id": 1001680235546296300,
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"content": "Pinned a message.",
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"id": 1001680319537233900,
"author_id": 146442608875536400,
"author_name": "RedactedReality",
"timestamp": "07/26/2022 22:39:58",
"content": "I need help with this, I dont exactly understand how to do Part 2 on this question",
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"id": 1001680757913288700,
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"author_name": "RedactedReality",
"timestamp": "07/26/2022 22:42:03",
"content": "This is what I’ve tried doing so far, and I looked up a Organic Chem Tutor video but it had no examples similar to the problem I have",
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"timestamp": "07/26/2022 22:42:29",
"content": "http://www.milefoot.com/math/calculus/limits/FindingAsymptotes12.htm#:~:text=A%20function%20f(x)%20will,as%20it%20approaches%20negative%20infinity",
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"id": 1001681114391396500,
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"author_name": "RedactedReality",
"timestamp": "07/26/2022 22:43:08",
"content": "I also tried following this link and its examples ^ but it did not have any like mine either since my equations are Quadratic Functions/Polynomials",
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{
"id": 1001683232112250900,
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"author_name": "RedactedReality",
"timestamp": "07/26/2022 22:51:32",
"content": "@Helpers",
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{
"id": 1001685856190472300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/26/2022 23:01:58",
"content": "Polynomials don't have horizontal nor vertical asymptotes",
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"id": 1001686487580025000,
"author_id": 146442608875536400,
"author_name": "RedactedReality",
"timestamp": "07/26/2022 23:04:29",
"content": "Hi Riemann, so does this mean I should put there are no asymptotes even if the graph on a calculator says there is?",
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"id": 1001686553002774700,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "07/26/2022 23:04:44",
"content": "youre not zoomed out enough, it does not",
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"author_name": "RedactedReality",
"timestamp": "07/26/2022 23:08:31",
"content": "Nvm I answered my own question there",
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"timestamp": "07/26/2022 23:09:45",
"content": "Okay thank you guys, I will try to do the rest now",
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"timestamp": "07/26/2022 23:09:48",
"content": ".close",
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"timestamp": "07/26/2022 23:09:48",
"content": "Channel closed",
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] |
help-9
|
a653aa5e5f6741e3a8baa82047538f08
|
197,456 |
[
{
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"timestamp": "07/26/2022 23:10:49",
"content": "Available help channel!",
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"id": 1001692270480855200,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:27:27",
"content": "my original problem was 5cos^2(x) - 4sin(x) -4 = 0",
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:27:59",
"content": "I tried solving and ended up at -(5sin^2(x) + 4sinx -1) = 0",
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"id": 1001692421912023200,
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:28:03",
"content": "how would you factor this",
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{
"id": 1001692466057072800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:28:14",
"content": "how did u get there",
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"id": 1001692503080190000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:28:23",
"content": "did you sub cos^2 = 1 - sin^2",
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"id": 1001692519857406100,
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:28:27",
"content": "yeah",
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"id": 1001692595744944300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:28:45",
"content": "to more easily see what you're dealing with i recommend sub sinx = u",
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:28:47",
"content": "now u have",
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"id": 1001692648316338300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:28:57",
"content": "5u^2 + 4u - 1 = 0",
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"id": 1001692670680371200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:29:03",
"content": "is that easier to factor?",
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"id": 1001692689131118700,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:29:07",
"content": "I can factor using ac method?",
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"id": 1001692710706622600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:29:12",
"content": "uh",
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},
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"id": 1001692717623025800,
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:29:14",
"content": "yeah that seems better",
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"id": 1001692723474075800,
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:29:15",
"content": "i dont know what that is",
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"id": 1001692761961025500,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:29:25",
"content": "like multiply 5 and -1",
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"id": 1001692765140295800,
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:29:25",
"content": "i only know how to factor by inspection xd",
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"id": 1001692796744376400,
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:29:33",
"content": "and then what adds to 4",
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"id": 1001692849877819400,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:29:45",
"content": "multiplies to -5 and ands to 4",
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"id": 1001692858228674600,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:29:47",
"content": "i just go ok it's (5u ± 1)(x ± 1)",
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:29:58",
"content": "then just go well i need negative so 1 of them is negative",
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"timestamp": "07/26/2022 23:30:03",
"content": "and i need positive 5",
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"id": 1001692957277175800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:30:11",
"content": "so the 2nd one needs to be the positive one",
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:30:12",
"content": "oh",
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:30:16",
"content": "so 5u + 1 = 5u",
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"id": 1001693008669966300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:30:23",
"content": "so it becomes 4u",
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"id": 1001693036331409400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:30:30",
"content": "otherwise it'd be -5u then we cant get to 4u",
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"id": 1001693086839214100,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:30:42",
"content": "so it's (5u-1)(u+1)",
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"id": 1001693209631653900,
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:31:11",
"content": "that's what i mean by \"factor by inspection\"",
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"id": 1001693241684545500,
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:31:19",
"content": "I see",
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:31:45",
"content": "what if it was like this 6x^2 + x-15",
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"id": 1001693404557738100,
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:31:58",
"content": "then it's either 1/6 or 2/3",
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{
"id": 1001693422630998000,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/26/2022 23:32:02",
"content": "let's test 1/6 first",
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{
"id": 1001693500561162400,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:32:21",
"content": "damn you figure out so fast",
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"author_name": "Frosst",
"timestamp": "07/26/2022 23:32:23",
"content": "1 and 15 with a 6 you can get 6 and 15 or 1 and 60",
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"timestamp": "07/26/2022 23:32:29",
"content": "1 and 60 makes no sense",
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"timestamp": "07/26/2022 23:32:40",
"content": "neither does 6 and 15",
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"timestamp": "07/26/2022 23:32:47",
"content": "cos we cant get the +1x in the middle",
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"timestamp": "07/26/2022 23:32:53",
"content": "ok what about 3/5",
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"timestamp": "07/26/2022 23:33:05",
"content": "3/5 you can make 18/5 taht makes no sense",
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"timestamp": "07/26/2022 23:33:10",
"content": "3/30 also makes no sense",
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"timestamp": "07/26/2022 23:33:13",
"content": "so 1/6 is obviously wrong",
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"timestamp": "07/26/2022 23:33:19",
"content": "you can actually tell because +1x is so small",
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"timestamp": "07/26/2022 23:33:23",
"content": "you need the numebrs to be close",
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"timestamp": "07/26/2022 23:33:34",
"content": "and 1/6 is very far apart",
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"timestamp": "07/26/2022 23:33:35",
"content": "I usually think of it this way, first I do 6 times -15 and get an answer and then see what multiplies to that number and adds to 1",
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"timestamp": "07/26/2022 23:33:49",
"content": "and then sub it in for the middle term which is x",
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"timestamp": "07/26/2022 23:33:55",
"content": "and factor using gcf",
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"timestamp": "07/26/2022 23:33:56",
"content": "when i look at the 1/6 case",
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"timestamp": "07/26/2022 23:34:02",
"content": "i only test 1/6 and 6/15",
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"timestamp": "07/26/2022 23:34:13",
"content": "once that looks impossible i skip 1/6",
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"timestamp": "07/26/2022 23:34:15",
"content": "i go to 2/3",
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"timestamp": "07/26/2022 23:34:25",
"content": "how can 2/3 and 3/5 multiply to something close",
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"timestamp": "07/26/2022 23:34:38",
"content": "3*3 and 2\\*5 is 1 apart",
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"timestamp": "07/26/2022 23:34:41",
"content": "so that works",
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"timestamp": "07/26/2022 23:34:51",
"content": "I can't interpret your way of solving lol",
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"timestamp": "07/26/2022 23:34:58",
"content": "seems so unintuitive",
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"timestamp": "07/26/2022 23:35:13",
"content": "it'll be (3x±5)(2x±3)",
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"timestamp": "07/26/2022 23:35:23",
"content": "ok it's like this",
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"timestamp": "07/26/2022 23:35:27",
"content": "either the first one is 1/6",
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"timestamp": "07/26/2022 23:35:31",
"content": "wait",
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"timestamp": "07/26/2022 23:35:31",
"content": "or it's 2/3",
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"timestamp": "07/26/2022 23:35:41",
"content": "do you have easier problem with no fractions",
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"timestamp": "07/26/2022 23:35:47",
"content": "those arent fractions",
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"timestamp": "07/26/2022 23:35:49",
"content": "those are options",
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"timestamp": "07/26/2022 23:35:52",
"content": "oh",
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"timestamp": "07/26/2022 23:36:00",
"content": "💀",
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"timestamp": "07/26/2022 23:36:08",
"content": "it's either (1x±?)(6x±?)",
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"timestamp": "07/26/2022 23:36:17",
"content": "or it's (2x±?)(3x±?)",
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"timestamp": "07/26/2022 23:36:29",
"content": "right?",
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"timestamp": "07/26/2022 23:36:36",
"content": "and the back numbers have to multiply to 15",
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"timestamp": "07/26/2022 23:36:41",
"content": "so it's either 1/15 or 3/5",
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"timestamp": "07/26/2022 23:36:47",
"content": "oh",
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"timestamp": "07/26/2022 23:36:49",
"content": "I see",
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"timestamp": "07/26/2022 23:36:55",
"content": "1/15 and 1/6 are so different",
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"timestamp": "07/26/2022 23:36:56",
"content": "in size",
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"timestamp": "07/26/2022 23:37:00",
"content": "you cant make a +1x in the middle",
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"timestamp": "07/26/2022 23:37:01",
"content": "and then you manipulate signs depending on it?",
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"timestamp": "07/26/2022 23:37:13",
"content": "so we rule out the (1x±?)(6x±?) case",
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"timestamp": "07/26/2022 23:37:30",
"content": "with (2x±?)(3x±?) case",
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"timestamp": "07/26/2022 23:37:36",
"content": "2 and 3 are very close together",
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"timestamp": "07/26/2022 23:37:41",
"content": "if u multiply them with 1 and 15",
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"timestamp": "07/26/2022 23:37:44",
"content": "they will spread apart",
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"timestamp": "07/26/2022 23:37:47",
"content": "that's not what we want",
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"timestamp": "07/26/2022 23:37:56",
"content": "we want somthing close together so we get +1x",
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"timestamp": "07/26/2022 23:38:02",
"content": "so the first term always goes first in the factored form and then the second term second goes second?",
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"timestamp": "07/26/2022 23:38:09",
"content": "yeah",
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"timestamp": "07/26/2022 23:38:33",
"content": "yeah deal with the first coefficient",
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"timestamp": "07/26/2022 23:38:36",
"content": "then the last coefficient",
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"timestamp": "07/26/2022 23:38:41",
"content": "then mess with it till i get the middle one",
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"timestamp": "07/26/2022 23:38:50",
"content": "oh alright I see",
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"timestamp": "07/26/2022 23:38:51",
"content": "so 2/3 and 1/15 wont work",
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"timestamp": "07/26/2022 23:38:58",
"content": "so we do 2/3 and 3/5",
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"timestamp": "07/26/2022 23:39:14",
"content": "obivously if we multiply the small with big and big with small it'll be closer than small with small and big with big",
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"timestamp": "07/26/2022 23:39:27",
"content": "as in, 2*3 and 3\\*5 is further apart",
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"timestamp": "07/26/2022 23:39:34",
"content": "than 2*5 and 3\\*3",
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"timestamp": "07/26/2022 23:39:35",
"content": "yeah",
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"timestamp": "07/26/2022 23:39:38",
"content": "alright so",
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"timestamp": "07/26/2022 23:39:40",
"content": "so we choose the 2nd one",
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"timestamp": "07/26/2022 23:39:52",
"content": "and we know now the numbers just have to fiddle with the signs",
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"timestamp": "07/26/2022 23:40:06",
"content": "if i cant find the numbers in like 30s",
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"timestamp": "07/26/2022 23:40:10",
"content": "i just quadratic formula it",
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"timestamp": "07/26/2022 23:40:12",
"content": "so for example if I had the problem 2x^2-9x+10 I find what multiplies to 20 and adds to -9",
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"timestamp": "07/26/2022 23:40:24",
"content": "so 2x^2",
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"timestamp": "07/26/2022 23:40:27",
"content": "that must be 1/2",
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"timestamp": "07/26/2022 23:40:30",
"content": "there's no other way",
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"timestamp": "07/26/2022 23:40:34",
"content": "oh",
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"timestamp": "07/26/2022 23:40:44",
"content": "as in it must be (2x±?)(1x±?)",
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"timestamp": "07/26/2022 23:40:49",
"content": "and then 10 can be either 5 or 2",
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"timestamp": "07/26/2022 23:40:56",
"content": "or 1/10",
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"content": "5/2",
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"timestamp": "07/26/2022 23:41:00",
"content": "1/10 and 2/5",
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"timestamp": "07/26/2022 23:41:02",
"content": "yeah",
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"timestamp": "07/26/2022 23:41:16",
"content": "and 9 is a pretty big number",
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"content": "so we are probably looking for 1/10",
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"timestamp": "07/26/2022 23:41:36",
"content": "do you have to factor like this a lot in calc?",
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"content": "a decent amount",
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"timestamp": "07/26/2022 23:41:50",
"content": "they usually give u nice easy ones to do",
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"content": "if it's not easy it's probably not meant to be done this way",
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"timestamp": "07/26/2022 23:42:14",
"content": "that or you're missing a cool substitution trick they are expecting you to use",
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"timestamp": "07/26/2022 23:42:15",
"content": "I'm going to do calc fall semester I just need tips on what I should focus on studying",
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"timestamp": "07/26/2022 23:42:30",
"content": "a good mind to do these factorising by inspection is handy though",
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"timestamp": "07/26/2022 23:42:41",
"content": "alright your trick helped a lot I'll keep in mind when using",
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"content": "this is actually a little more complex",
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"timestamp": "07/26/2022 23:42:52",
"content": "because 2/5 with the 2 on the 2 gives u 4",
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"timestamp": "07/26/2022 23:42:54",
"content": "4 and 5 can make 9",
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"timestamp": "07/26/2022 23:43:04",
"content": "so actually 1/10 is wrong",
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"timestamp": "07/26/2022 23:43:15",
"content": "cos that multiplied by 1/2 only gives you 2/10 or 1/20",
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"timestamp": "07/26/2022 23:43:17",
"content": "-10 and 1 wouldn't work?",
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"timestamp": "07/26/2022 23:43:18",
"content": "neither makes a 9",
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"timestamp": "07/26/2022 23:43:42",
"content": "but 2/5 makes either 4/5 or 2/10",
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"timestamp": "07/26/2022 23:43:47",
"content": "4/5 makes 9 if u add them",
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"timestamp": "07/26/2022 23:43:53",
"content": "yeah",
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"timestamp": "07/26/2022 23:44:53",
"content": "it gets harder when the last number is like 12",
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"timestamp": "07/26/2022 23:44:54",
"content": "or 24",
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"timestamp": "07/26/2022 23:44:58",
"content": "then there's a ton of factors",
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"timestamp": "07/26/2022 23:45:17",
"content": "how would you do it then?",
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"timestamp": "07/26/2022 23:45:20",
"content": "just keep checking?",
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"timestamp": "07/26/2022 23:45:30",
"content": "something like 2x^2 + 3x - 24",
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"timestamp": "07/26/2022 23:45:33",
"content": "i look at this",
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"timestamp": "07/26/2022 23:45:43",
"content": "wait one sec",
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"timestamp": "07/26/2022 23:45:49",
"content": "so you do 2 and -24 right",
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"timestamp": "07/26/2022 23:45:51",
"content": "i would go something like what's something close together but not that close",
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"timestamp": "07/26/2022 23:46:02",
"content": "1/2 and could be also 4/6",
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"timestamp": "07/26/2022 23:46:04",
"content": "right",
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"timestamp": "07/26/2022 23:46:04",
"content": "cos we need a 3 different after we multiply 1 of the number sby 2",
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"timestamp": "07/26/2022 23:46:13",
"content": "so 3/8 and 4/6 looks possible",
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"timestamp": "07/26/2022 23:46:16",
"content": "4/6 is not",
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"timestamp": "07/26/2022 23:46:30",
"content": "let's see 3/8",
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"timestamp": "07/26/2022 23:46:34",
"content": "not possible either",
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"timestamp": "07/26/2022 23:46:46",
"content": "this might not be factorable",
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"timestamp": "07/26/2022 23:46:51",
"content": "oh",
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"timestamp": "07/26/2022 23:46:56",
"content": "quadratic formula?",
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"timestamp": "07/26/2022 23:46:56",
"content": "idk i just made it up",
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"timestamp": "07/26/2022 23:47:00",
"content": "yeah",
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"timestamp": "07/26/2022 23:47:02",
"content": "oh lmao",
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"timestamp": "07/26/2022 23:47:03",
"content": "i check the 2 in the middle",
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"timestamp": "07/26/2022 23:47:08",
"content": "doesn't look doable",
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"timestamp": "07/26/2022 23:47:14",
"content": "so i jsut quadratic formula it",
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"timestamp": "07/26/2022 23:47:42",
"content": "or if the 2nd term is even",
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"timestamp": "07/26/2022 23:47:46",
"content": "look",
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"timestamp": "07/26/2022 23:47:52",
"content": "you could complete the square",
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"timestamp": "07/26/2022 23:48:06",
"content": "this is my method, its lengthier but may be helpful",
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"timestamp": "07/26/2022 23:48:10",
"content": "",
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"timestamp": "07/26/2022 23:48:28",
"content": "I usually think of it this way",
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"timestamp": "07/26/2022 23:48:31",
"content": "i know people use methods like this",
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"timestamp": "07/26/2022 23:48:37",
"content": "but i mean, i dont like them",
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"timestamp": "07/26/2022 23:48:44",
"content": "yeah you're right",
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"timestamp": "07/26/2022 23:48:51",
"content": "I should focus on your method",
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"timestamp": "07/26/2022 23:48:53",
"content": "its faster",
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"timestamp": "07/26/2022 23:48:56",
"content": "it's not intuitive that's why i dont like it",
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"timestamp": "07/26/2022 23:49:04",
"content": "my method relies purely on intuition to solve",
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"timestamp": "07/26/2022 23:49:12",
"content": "true",
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"timestamp": "07/26/2022 23:49:17",
"content": "you can see why it works because you have to know how it works to apply it",
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"timestamp": "07/26/2022 23:49:30",
"content": "my teacher does it the same way and says that she doesn't like the ac method either",
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"timestamp": "07/26/2022 23:49:35",
"content": "im sure u can prove the ac method via algebra but it looks weird",
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"timestamp": "07/26/2022 23:49:37",
"content": "I was just taught that way in highschool",
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"timestamp": "07/26/2022 23:49:44",
"content": "a bit too abstracted for my liking",
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"author_name": "Sxfrui",
"timestamp": "07/26/2022 23:50:28",
"content": "thanks for your help though, you spent so much time trying to help me figure out something so simple. Means a lot",
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"timestamp": "07/26/2022 23:50:37",
"content": "my method also is super super fast for x^2 coefficient of 1",
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"timestamp": "07/26/2022 23:50:55",
"content": "like x^2 + 8x + 15",
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"timestamp": "07/26/2022 23:51:05",
"content": "oh for that",
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"timestamp": "07/26/2022 23:51:08",
"content": "Ik",
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"timestamp": "07/26/2022 23:51:18",
"content": "I just use what adds to 8 and mulitplies to 15",
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"timestamp": "07/26/2022 23:51:21",
"content": "right",
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"timestamp": "07/26/2022 23:51:27",
"content": "the higher order thinking of that method",
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"timestamp": "07/26/2022 23:51:29",
"content": "5 and 3",
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"timestamp": "07/26/2022 23:51:38",
"content": "is used for non 1 x^2 coefficeint",
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"timestamp": "07/26/2022 23:51:42",
"content": "so wehn u have 2x^2",
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"timestamp": "07/26/2022 23:51:47",
"content": "I see i'll watch vids on your method",
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"timestamp": "07/26/2022 23:51:51",
"content": "you just ask the question what 2 numbers multiply to 15",
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"timestamp": "07/26/2022 23:52:00",
"content": "but when 1 of them is multiplied by 2 adds to 8",
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"content": "obviously doesn't work here but you get the point",
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"timestamp": "07/26/2022 23:52:18",
"content": "yeah",
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"timestamp": "07/26/2022 23:52:40",
"content": "we went from trig problem to algebra",
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"timestamp": "07/26/2022 23:52:59",
"content": "that's all good",
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"timestamp": "07/26/2022 23:53:06",
"content": "lol",
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"timestamp": "07/26/2022 23:53:12",
"content": "thanks for the help thoug",
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"timestamp": "07/26/2022 23:55:14",
"content": "How would you solve this? 2cosx +3 = 2secx",
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"timestamp": "07/26/2022 23:55:21",
"content": "I moved 2 secx to left side",
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"timestamp": "07/26/2022 23:55:30",
"content": "and then converted it to 1/cosx",
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"timestamp": "07/26/2022 23:55:51",
"content": "then to get rid of denominator would you multiply by cosx?",
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"timestamp": "07/26/2022 23:57:23",
"content": "@Frosst",
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"timestamp": "07/26/2022 23:57:36",
"content": "yes",
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"timestamp": "07/26/2022 23:57:43",
"content": "you dont even have to move it",
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"timestamp": "07/26/2022 23:57:45",
"content": "just multiply",
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"timestamp": "07/26/2022 23:57:55",
"content": "2cos^2x + 3cosx = 2",
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"timestamp": "07/26/2022 23:58:36",
"content": "how did you get rid of secx",
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"timestamp": "07/26/2022 23:58:53",
"content": "oh",
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"timestamp": "07/26/2022 23:59:02",
"content": "it beomes 1/cos right",
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"timestamp": "07/26/2022 23:59:09",
"content": "and then you multiply by 2",
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"timestamp": "07/26/2022 23:59:14",
"content": "so 2/cosx",
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"timestamp": "07/26/2022 23:59:38",
"content": "then multiply both sides by cosx?",
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"timestamp": "07/27/2022 00:00:45",
"content": "would you get cosx = - rad 1/2 ?",
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"timestamp": "07/27/2022 00:00:47",
"content": "as answer",
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"timestamp": "07/27/2022 00:01:31",
"content": "aha",
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"timestamp": "07/27/2022 00:01:34",
"content": "im glad you asked",
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"timestamp": "07/27/2022 00:01:53",
"content": "let me show you my amazing circle technique",
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"timestamp": "07/27/2022 00:02:44",
"content": "alright",
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"timestamp": "07/27/2022 00:02:48",
"content": "wait",
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"timestamp": "07/27/2022 00:02:51",
"content": "what's - rad 1/2",
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"timestamp": "07/27/2022 00:02:58",
"content": "I think thats wrong",
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"timestamp": "07/27/2022 00:03:00",
"content": "😦",
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"timestamp": "07/27/2022 00:03:06",
"content": "right",
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"timestamp": "07/27/2022 00:03:39",
"content": "oh wait I mean radical 2 of -1/2",
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"timestamp": "07/27/2022 00:03:49",
"content": "radical of -1/2?",
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"timestamp": "07/27/2022 00:03:49",
"content": "like square root of -1/2",
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"timestamp": "07/27/2022 00:03:55",
"content": "oh",
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"timestamp": "07/27/2022 00:03:55",
"content": "my bad",
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"timestamp": "07/27/2022 00:04:03",
"content": "but thats wrong I think",
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"timestamp": "07/27/2022 00:05:21",
"content": "oh I fixed it",
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"timestamp": "07/27/2022 00:05:46",
"content": "is it 2cos^2(x) - 2 + 3cosx = 0",
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"timestamp": "07/27/2022 00:05:49",
"content": "then factor",
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"timestamp": "07/27/2022 00:06:10",
"content": "why are you putting it in the ax^2 + c + bx = 0 form",
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"timestamp": "07/27/2022 00:06:11",
"content": "yeah",
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"timestamp": "07/27/2022 00:06:17",
"content": "instead of ax^2 + bx + c = 0",
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"timestamp": "07/27/2022 00:06:27",
"content": "that's the cool circle method",
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"timestamp": "07/27/2022 00:06:31",
"content": "lol ik",
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"timestamp": "07/27/2022 00:06:33",
"content": "but...",
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"timestamp": "07/27/2022 00:06:43",
"content": "just wanted to see if I factored correctly",
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"timestamp": "07/27/2022 00:06:50",
"content": "I mean did the right steps",
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"timestamp": "07/27/2022 00:07:06",
"content": "from 2cosx +3 = 2secx (original problem",
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"timestamp": "07/27/2022 00:07:31",
"content": "and then I simplified it using trig identities etc...",
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"timestamp": "07/27/2022 00:07:51",
"content": "and got 2cos^2(x) + 3cosx -2 =0",
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"timestamp": "07/27/2022 00:08:26",
"content": "then that can be factored using the method you showed me before",
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"timestamp": "07/27/2022 00:09:00",
"content": "I got a quiz today on this and need to do good otherwise I'll bomb like the last two 😭",
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"timestamp": "07/27/2022 00:10:26",
"content": "yeah so with this",
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"timestamp": "07/27/2022 00:10:48",
"content": "you'll get (2u-1)(u+2)",
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"timestamp": "07/27/2022 00:10:55",
"content": "so u = 1/2 or -2",
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"timestamp": "07/27/2022 00:11:07",
"content": "alright",
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"timestamp": "07/27/2022 00:11:15",
"content": "that means I did the steps right",
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"timestamp": "07/27/2022 00:11:22",
"content": "it should be 1/2",
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"timestamp": "07/27/2022 00:11:24",
"content": "not -1/2",
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"timestamp": "07/27/2022 00:11:33",
"content": "and no sqrt anywhere",
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"timestamp": "07/27/2022 00:11:34",
"content": "beacuse of the -1 right",
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"timestamp": "07/27/2022 00:12:00",
"content": "just set 2u-1=0",
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"timestamp": "07/27/2022 00:12:07",
"content": "yes",
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"timestamp": "07/27/2022 00:12:09",
"content": "and then add 1 and divide by 2",
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"timestamp": "07/27/2022 00:12:13",
"content": "alrighty",
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"timestamp": "07/27/2022 00:12:51",
"content": "lol that seems complicated",
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"timestamp": "07/27/2022 00:13:01",
"content": "yeah",
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"timestamp": "07/27/2022 00:13:11",
"content": "but Ik that intuitively",
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"timestamp": "07/27/2022 00:13:19",
"content": "I have another question",
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"timestamp": "07/27/2022 00:13:35",
"content": "i just look at (ax+b) and see x = -b/a",
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"timestamp": "07/27/2022 00:13:36",
"content": "take the 2nd term, divide it by the first coefficeint",
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"timestamp": "07/27/2022 00:13:54",
"content": "swap the sign boom done",
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"timestamp": "07/27/2022 00:14:01",
"content": "so lets say you have arccos(cos(pi/3)) would the arcos and cos cancel out?",
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"timestamp": "07/27/2022 00:14:09",
"content": "true",
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"timestamp": "07/27/2022 00:14:33",
"content": "and you'd be left with pi/3",
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"content": "Yes",
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"timestamp": "07/27/2022 00:15:56",
"content": "But be careful",
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"content": "one sec",
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"timestamp": "07/27/2022 00:16:11",
"content": "cos(arccos(x)) and arccos(cos(x)) is not the same",
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"timestamp": "07/27/2022 00:16:17",
"content": "if it was the other way around it wouldn't be the same right",
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"timestamp": "07/27/2022 00:16:24",
"content": "yeah was about to say lol",
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"content": "yeah",
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"content": "there's a range limitation on arccos",
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"timestamp": "07/27/2022 00:16:38",
"content": "that doesn't apply to cos",
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"timestamp": "07/27/2022 00:16:48",
"content": "only from 0 to pi right",
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"timestamp": "07/27/2022 00:16:49",
"content": "that's the only thing u have to watch out for",
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"content": "alright will do",
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"timestamp": "07/27/2022 00:17:06",
"content": ",wf graph arccos(x)",
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"timestamp": "07/27/2022 00:17:15",
"content": "wf?",
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"timestamp": "07/27/2022 00:17:20",
"content": ",w graph arccos(x)",
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"timestamp": "07/27/2022 00:17:22",
"content": "Results provided by WolframAlpha",
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"timestamp": "07/27/2022 00:17:25",
"content": "oh",
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"timestamp": "07/27/2022 00:17:36",
"content": "idk man i haven't slept in 22 hours",
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"timestamp": "07/27/2022 00:17:40",
"content": "range is all the y values",
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"timestamp": "07/27/2022 00:17:44",
"content": "yeah",
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"timestamp": "07/27/2022 00:17:49",
"content": "actually?",
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"timestamp": "07/27/2022 00:17:59",
"content": "yes idk how my eyes are still open",
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"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:18:07",
"content": "you been just helping people in this server?",
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"timestamp": "07/27/2022 00:18:17",
"content": "yeah to pass time",
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"timestamp": "07/27/2022 00:18:24",
"content": "wow",
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"timestamp": "07/27/2022 00:18:35",
"content": "I cannot imagine doing math for that long",
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"timestamp": "07/27/2022 00:18:38",
"content": "but its fun",
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"timestamp": "07/27/2022 00:19:07",
"content": "ok I have one last question",
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"content": "",
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"timestamp": "07/27/2022 00:20:41",
"content": "How would you graph this",
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"timestamp": "07/27/2022 00:20:59",
"content": "Ik how to find everything but I get different value for interval and phase shift",
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"timestamp": "07/27/2022 00:21:47",
"content": "well",
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"timestamp": "07/27/2022 00:22:01",
"content": "what i do is take it step by step",
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"timestamp": "07/27/2022 00:22:10",
"content": "amplitude is 1/2",
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"timestamp": "07/27/2022 00:22:11",
"content": "cos i dont bother remembering which part does what",
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"timestamp": "07/27/2022 00:22:23",
"content": "oh wait",
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"timestamp": "07/27/2022 00:22:24",
"content": "no",
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"timestamp": "07/27/2022 00:22:30",
"content": "amplitude is 1 right",
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"timestamp": "07/27/2022 00:22:38",
"content": "maybe probablly",
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"timestamp": "07/27/2022 00:22:40",
"content": "and f= 1/2",
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"timestamp": "07/27/2022 00:22:47",
"content": "yeah freq is the once tha'ts changed",
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"timestamp": "07/27/2022 00:22:56",
"content": "x has to go twice as far to have the same result",
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"timestamp": "07/27/2022 00:23:03",
"content": "so the frequency is halved",
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"timestamp": "07/27/2022 00:23:07",
"content": "yeah",
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"timestamp": "07/27/2022 00:23:10",
"content": "inside after u factor 1/2",
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"timestamp": "07/27/2022 00:23:16",
"content": "you have x - π/3",
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"timestamp": "07/27/2022 00:23:24",
"content": "so just shift it over π/3 to the right",
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"timestamp": "07/27/2022 00:23:25",
"content": "done",
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"timestamp": "07/27/2022 00:23:39",
"content": "my prof said we only have to graph one cycle on test",
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"timestamp": "07/27/2022 00:24:09",
"content": "alright",
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"timestamp": "07/27/2022 00:24:17",
"content": "and then how do I find the other points",
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"timestamp": "07/27/2022 00:24:19",
"content": "on x-axis",
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"timestamp": "07/27/2022 00:25:02",
"content": "I have better problem",
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"timestamp": "07/27/2022 00:25:06",
"content": "",
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"timestamp": "07/27/2022 00:25:22",
"content": "for this one I get different Interval and phaseshift",
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"timestamp": "07/27/2022 00:25:26",
"content": "ok",
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"timestamp": "07/27/2022 00:25:31",
"content": "I was told to make them same value to graph",
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"timestamp": "07/27/2022 00:25:34",
"content": "or lcm",
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"timestamp": "07/27/2022 00:25:37",
"content": "so normally sin's range is -1 to 1",
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"timestamp": "07/27/2022 00:25:43",
"content": "when u multiply that by 1/2",
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"timestamp": "07/27/2022 00:25:46",
"content": "you get -1/2 to 1/2",
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"timestamp": "07/27/2022 00:25:52",
"content": "yes",
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"content": "inside you can factor out 2",
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"timestamp": "07/27/2022 00:26:06",
"content": "2(x-π/3)",
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"timestamp": "07/27/2022 00:26:18",
"content": "so x has to travel half as much to get the same result",
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"timestamp": "07/27/2022 00:26:23",
"content": "so freq is doubled",
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"timestamp": "07/27/2022 00:26:27",
"content": "yes",
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"timestamp": "07/27/2022 00:26:29",
"content": "then shift it to the right π/3",
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"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:26:56",
"content": "what would the next value be",
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"id": 1001707329110163600,
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"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:27:18",
"content": "it says pi/3 and then 7pi/12",
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"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:27:23",
"content": "how does it jump from that to that",
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"timestamp": "07/27/2022 00:27:53",
"content": "this is the answer",
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"timestamp": "07/27/2022 00:28:05",
"content": "idk how she graphed",
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"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:28:21",
"content": "do you keep adding pi/4 to pi/3",
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"timestamp": "07/27/2022 00:28:22",
"content": "?",
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"timestamp": "07/27/2022 00:30:21",
"content": "well",
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"timestamp": "07/27/2022 00:30:31",
"content": "normally u know the curve peaks or whatever at those times",
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"timestamp": "07/27/2022 00:30:47",
"content": "wait",
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"timestamp": "07/27/2022 00:31:18",
"content": "so as long as it is the common denominator",
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"timestamp": "07/27/2022 00:31:30",
"content": "yyou would just add pi/4 to pi/3",
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"timestamp": "07/27/2022 00:32:48",
"content": "uh what",
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"timestamp": "07/27/2022 00:33:22",
"content": "so this is sinx",
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"timestamp": "07/27/2022 00:33:23",
"content": "ik that you can just have 2x- 2pi/3 = to the period to find ending value",
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"timestamp": "07/27/2022 00:33:31",
"content": "this is sin(2x)",
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"timestamp": "07/27/2022 00:33:41",
"content": "and set to 0 to find starting",
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"timestamp": "07/27/2022 00:33:44",
"content": "but",
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"timestamp": "07/27/2022 00:33:45",
"content": "this is 1/2 sin(2x)",
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"timestamp": "07/27/2022 00:33:53",
"content": "then just shift this over by π/3 to the right",
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"timestamp": "07/27/2022 00:34:20",
"content": "so each time you switch over you add pi/3",
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"timestamp": "07/27/2022 00:34:35",
"content": "idk how she got 7pi/12",
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"timestamp": "07/27/2022 00:34:40",
"content": "u know the peak, 0, min, etc happens at every π/2 interval",
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"timestamp": "07/27/2022 00:34:41",
"content": "yeah?",
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"timestamp": "07/27/2022 00:34:45",
"content": "yeah",
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"timestamp": "07/27/2022 00:34:52",
"content": "ok if the frequency is doubled",
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"timestamp": "07/27/2022 00:35:03",
"content": "that means all this is happening every π/4 interval",
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"timestamp": "07/27/2022 00:35:27",
"content": "wouldn't you divide period by 4",
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"timestamp": "07/27/2022 00:35:31",
"content": "to get the interval",
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"timestamp": "07/27/2022 00:35:33",
"content": "so instead of it going from 0, max, 0, min every π/2 interval",
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"timestamp": "07/27/2022 00:35:37",
"content": "yes",
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"author_name": "Frosst",
"timestamp": "07/27/2022 00:35:59",
"content": "this interval i mean by the interval between the 0, max, 0, min sections",
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"timestamp": "07/27/2022 00:36:11",
"content": "yes",
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"timestamp": "07/27/2022 00:36:15",
"content": "so u double it",
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"timestamp": "07/27/2022 00:36:20",
"content": "the interval is half as big",
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"timestamp": "07/27/2022 00:36:24",
"content": "so π/4 intervals",
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"timestamp": "07/27/2022 00:36:26",
"content": "by interval I mean the value you add to the phase shift I think",
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"timestamp": "07/27/2022 00:36:32",
"content": "shifted over π/3 to the right",
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"timestamp": "07/27/2022 00:36:39",
"content": "so your teacher started there",
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"timestamp": "07/27/2022 00:36:43",
"content": "yes",
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"timestamp": "07/27/2022 00:36:47",
"content": "then just added π/4 for every \"interval\"",
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"timestamp": "07/27/2022 00:36:51",
"content": "so the 0 is at π/3",
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"timestamp": "07/27/2022 00:36:57",
"content": "the max is at π/3 + π/4",
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"author_name": "Frosst",
"timestamp": "07/27/2022 00:37:07",
"content": "the next 0 is at π/3 + π/4 + π/4",
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"timestamp": "07/27/2022 00:37:16",
"content": "because the frequency is 2?",
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"timestamp": "07/27/2022 00:37:24",
"content": "the min is at π/3 + π/4 + π/4 + π/4",
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"id": 1001709876982054900,
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"timestamp": "07/27/2022 00:37:25",
"content": "and so on",
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"timestamp": "07/27/2022 00:37:28",
"content": "yes",
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"timestamp": "07/27/2022 00:37:33",
"content": "if the freq was 1/2",
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"timestamp": "07/27/2022 00:37:41",
"content": "you'd have + π every \"interval\"",
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"timestamp": "07/27/2022 00:37:41",
"content": "it would be pi/4?",
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"timestamp": "07/27/2022 00:37:55",
"content": "no man",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/27/2022 00:38:01",
"content": "if the freq is 1",
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"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/27/2022 00:38:07",
"content": "the \"intervals\" are π/2",
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"author_id": 244390699431100400,
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"timestamp": "07/27/2022 00:38:10",
"content": "if the freq is 2",
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"timestamp": "07/27/2022 00:38:12",
"content": "yes",
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},
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"id": 1001710089360658400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/27/2022 00:38:16",
"content": "the \"intervals\" are π/4",
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{
"id": 1001710103952638100,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/27/2022 00:38:19",
"content": "if the freq is 1/2",
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"id": 1001710121933606900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/27/2022 00:38:23",
"content": "the \"intervals\" are π",
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"id": 1001710376636919800,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:39:24",
"content": "freq = 1/2 so the intervals are pi/2 times 2?",
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"id": 1001710400607375400,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:39:30",
"content": "which is pi?",
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"id": 1001710908571127900,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/27/2022 00:41:31",
"content": "yes",
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"id": 1001711344837464200,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:43:15",
"content": "how do you know what to multiply by",
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},
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"id": 1001712043642081300,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:46:02",
"content": "I give up",
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},
{
"id": 1001712051997126700,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/27/2022 00:46:04",
"content": ".close",
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},
{
"id": 1001712053679042600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 00:46:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
4670422eda454c2f8201939be0c80cd9
|
197,457 |
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"id": 1001718950104678400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 01:13:28",
"content": "Available help channel!",
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},
{
"id": 1001718979267670000,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "07/27/2022 01:13:35",
"content": "i have to prove that these are derivatives, how do i word it?",
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"timestamp": "07/27/2022 01:13:36",
"content": "Pinned a message.",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:13:52",
"content": "i know its correct im just confused on how to word it",
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},
{
"id": 1001719602063089700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/27/2022 01:16:04",
"content": "What's your proof?",
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"id": 1001719691158495200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/27/2022 01:16:25",
"content": "I don't know what wording you might need, haha",
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"id": 1001719785811349500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/27/2022 01:16:47",
"content": "Such proofs are usually just a limit",
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},
{
"id": 1001720101827006600,
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"timestamp": "07/27/2022 01:18:03",
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"author_name": "A Lonely Bean",
"timestamp": "07/27/2022 01:18:08",
"content": "I'm not quite sure I understood what you meant by \"wording\" as well",
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"timestamp": "07/27/2022 01:18:12",
"content": "would something like this count?",
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},
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:18:34",
"content": "like how would i type it out",
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"timestamp": "07/27/2022 01:18:58",
"content": "$\\derivative{f}{x} = g(x)$ ?",
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"timestamp": "07/27/2022 01:19:01",
"content": "**A Lonely Bean**",
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"content": "Or df/dx = g(x)\nIf you're okay with typing that out",
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"content": "what does g(x) represent",
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"content": "and df and dx?",
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"timestamp": "07/27/2022 01:20:23",
"content": "Are you sure you've been introduced to derivatives?",
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"timestamp": "07/27/2022 01:20:30",
"content": "Oh okay fair, maybe have not seen this notation",
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"content": "i can solve but not prove ig",
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"timestamp": "07/27/2022 01:20:58",
"content": "\"let f(x) be blah. Then f'(x) = blah\".",
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"timestamp": "07/27/2022 01:21:12",
"content": "Also it seems you did the differentiating the hard way",
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"timestamp": "07/27/2022 01:21:23",
"content": "You can rewrite (tanx - 1)/secx as sinx - cosx",
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"timestamp": "07/27/2022 01:21:39",
"content": "Which is simpler to find the derivative of",
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"content": "i aleady have the derivative",
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"timestamp": "07/27/2022 01:24:18",
"content": "ik",
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"timestamp": "07/27/2022 01:24:30",
"content": "oh i see watchu mean",
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"timestamp": "07/27/2022 01:25:29",
"content": "can u link me a youtube video on this https://discord.com/channels/268882317391429632/486844875632017408/1001720344060629003",
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"timestamp": "07/27/2022 01:25:49",
"content": "It's just differentiation,",
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"timestamp": "07/27/2022 01:25:58",
"content": "df/dx represents the derivative of f",
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"timestamp": "07/27/2022 01:26:41",
"content": "whats g(x) tho",
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"timestamp": "07/27/2022 01:26:59",
"content": "In this context the same thing",
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"timestamp": "07/27/2022 01:27:07",
"content": "Just a function which is derivative of f",
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"timestamp": "07/27/2022 01:27:27",
"content": "df/dx = f'(x)",
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"timestamp": "07/27/2022 01:27:37",
"content": "Yea",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:27:37",
"content": "are these 2 equations the same?",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:27:45",
"content": "ah okay yeah use to that notation lol",
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"timestamp": "07/27/2022 01:27:58",
"content": "Pretty much the same concept",
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"timestamp": "07/27/2022 01:28:19",
"content": "gotcha",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:28:50",
"content": "so to prove one is the derivative of the other would this work?",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:28:59",
"content": "https://discord.com/channels/268882317391429632/486844875632017408/1001720101827006575",
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"timestamp": "07/27/2022 01:29:00",
"content": "Yes",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:29:02",
"content": "ty",
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"id": 1001722893299876000,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "07/27/2022 01:29:08",
"content": ".closer",
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"id": 1001722895208284200,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "07/27/2022 01:29:09",
"content": "Oh wait",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "07/27/2022 01:29:12",
"content": "No",
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"author_name": "Blyvs",
"timestamp": "07/27/2022 01:29:14",
"content": "oh",
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"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "07/27/2022 01:30:03",
"content": "If two functions have same boundaries it doesn't mean that they are derivative of each other",
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"timestamp": "07/27/2022 01:30:47",
"content": "The way I'd do this is rewrite (tanx - 1)/secx as sinx - cosx",
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"timestamp": "07/27/2022 01:31:18",
"content": "And derivative of sinx - cosx is derivative of sinx - derivative of cosx",
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"timestamp": "07/27/2022 01:31:26",
"content": "So that's cosx + sinx",
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"timestamp": "07/27/2022 01:31:39",
"content": "Assuming you can show that derivative of sin is cos and derivative of cos is -sin",
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"timestamp": "07/27/2022 01:32:24",
"content": "alright ty",
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"timestamp": "07/27/2022 01:32:29",
"content": ".close",
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] |
help-9
|
b0b0c963c2204c498a8d0e3e9de4a0ee
|
197,458 |
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"timestamp": "07/27/2022 01:41:59",
"content": "Available help channel!",
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"content": "@Icyy.sf Has your question been resolved?",
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"content": "hmm, what have you tried so far @Icyy.sf",
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"content": "there's definitely some context missing but I think the main idea is simply that an affine transformation of inputs and outputs of other functions",
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"timestamp": "07/27/2022 02:38:41",
"content": "ive tried nothing",
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"timestamp": "07/27/2022 02:38:53",
"content": "thats all the info",
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"timestamp": "07/27/2022 02:38:57",
"content": "they gave me",
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"timestamp": "07/27/2022 02:39:03",
"content": "😢",
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"timestamp": "07/27/2022 02:48:29",
"content": "@Element118",
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"content": "help",
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"id": 1001742923555152000,
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"content": "you also have your notes and what was taught right",
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"content": "it seems you are supposed to start with a \"simpler\" function and modify it into the given function",
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"content": "my teacher doesnt give notes",
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"timestamp": "07/27/2022 02:54:55",
"content": "he gives homework and makes us figure it out",
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"timestamp": "07/27/2022 02:55:00",
"content": "since its summer school",
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"timestamp": "07/27/2022 02:56:20",
"content": "Okay, let's maybe cover the concept of making new functions from old functions",
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"timestamp": "07/27/2022 02:56:36",
"content": "so we have a function assigning y = f(x) and we want to make a new function Y=g(X)",
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"content": "you can visualise it something like this",
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"timestamp": "07/27/2022 02:59:13",
"content": "so the idea to put here is transforming one (x, y) pair from f into an (X, Y) pair for G",
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"timestamp": "07/27/2022 03:25:00",
"content": "@Icyy.sf Has your question been resolved?",
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"timestamp": "07/27/2022 03:25:17",
"content": "i still dont know",
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"id": 1001755734922514400,
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"timestamp": "07/27/2022 03:39:38",
"content": "So basically a function can be represented by (input, output) pairs",
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"content": "@Icyy.sf Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
7d303140cdec4678a7084e18c28618a4
|
197,459 |
[
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"id": 1001782576920404000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 05:26:18",
"content": "Available help channel!",
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},
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"id": 1001797347224854500,
"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/27/2022 06:25:00",
"content": "https://www.desmos.com/calculator/cmsom2eirp",
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"content": "Pinned a message.",
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"author_id": 406714069228453900,
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"timestamp": "07/27/2022 06:25:21",
"content": "I am having much trouble figuring out why the sum above gives this linear result",
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},
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"author_name": "Delectable Worm",
"timestamp": "07/27/2022 06:26:02",
"content": "It would appear the closed form can be described by the line, but how to prove!!",
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"timestamp": "07/27/2022 06:39:16",
"content": "Nice vocabulary in your nickname btw",
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"timestamp": "07/27/2022 06:40:05",
"content": "tyty",
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"timestamp": "07/27/2022 06:59:06",
"content": "@Delectable Worm Has your question been resolved?",
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"timestamp": "07/27/2022 07:01:25",
"content": "@Helpers :stareFlushed:",
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"id": 1001807737577021400,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/27/2022 07:06:17",
"content": "Looks nasty",
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},
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"id": 1001808267611218000,
"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/27/2022 07:08:23",
"content": "it makes me sad",
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},
{
"id": 1001810011636387800,
"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/27/2022 07:15:19",
"content": "I have noticed that sum(n-x choose x) corresponds to the fibonacci numbers, and that (n+x choose x) corresponds to a column in pascal's triangle",
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"timestamp": "07/27/2022 07:15:32",
"content": "should have added earlier",
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},
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"author_id": 406714069228453900,
"author_name": "Delectable Worm",
"timestamp": "07/27/2022 07:44:55",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
322cefcb6efb424999ba89944eba154f
|
197,460 |
[
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"timestamp": "03/31/2022 19:21:38",
"content": "Available help channel!",
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},
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"id": 959234247539949700,
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 19:34:31",
"content": "how do u have negative number?",
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"timestamp": "03/31/2022 19:52:21",
"content": "Could someone please tell me why (3, 5pi/3) is equal to (-3,2pi/3)?",
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"id": 959240865279279100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:00:44",
"content": "turn 180 degrees and walk 2 steps backwards",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:00:53",
"content": "compare to just walking 2 steps forward from the beginning",
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"id": 959240919696179300,
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"author_name": "jan Niku",
"timestamp": "03/31/2022 20:00:57",
"content": "are you in the same place?",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:01:35",
"content": "you are running into the problem which is solved by just letting radius be restricted positive",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:01:47",
"content": "and theta restricted to some meaningful domain",
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"id": 959241140777918500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:01:49",
"content": "making these things unique",
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"id": 959241192137187300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:02:02",
"content": "you are just looking at two equivalent answers because you havent restricted anything yet",
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"id": 959241220226420900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:02:08",
"content": "or i guess specifically arent supposed to",
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"timestamp": "03/31/2022 20:03:48",
"content": "oh",
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"id": 959241682631671800,
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:03:58",
"content": "bcause the Bs in brackets ar textbook answers",
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"timestamp": "03/31/2022 20:04:02",
"content": "mine's the one on the left",
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:04:10",
"content": "I still don't undrstand how im supposed to interpret -3",
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:07:27",
"content": "@jan Nikuhello?",
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"author_name": "jan Niku",
"timestamp": "03/31/2022 20:08:15",
"content": "it means \"go backwards\"",
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:08:33",
"content": "how do u go backwards in a circle?",
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"id": 959242853417107500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:08:38",
"content": "wait",
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"id": 959242860299956200,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:08:39",
"content": "uhh",
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"id": 959242869003132900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:08:41",
"content": "you dont, you go backwards from a point",
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"id": 959242898484887600,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:08:48",
"content": "I totally understand how -pi/3 came about",
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"id": 959242911541768200,
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:08:51",
"content": "but not -3",
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"id": 959242929380159500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:08:56",
"content": "okay",
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},
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"id": 959242966499733500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:05",
"content": "this might make sense or seem really strange but",
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{
"id": 959243027254239400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:19",
"content": "consider you are standing 2 steps away from a cat",
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},
{
"id": 959243038541086700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:22",
"content": "and it hisses",
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},
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"id": 959243054840164400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:26",
"content": "so u wanna take another steps back",
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"id": 959243075589402800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:31",
"content": "2 steps back*",
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},
{
"id": 959243083017486300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:32",
"content": "just to be safe",
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{
"id": 959243115930193900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:40",
"content": "to me, you have at least two equivalent options",
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"id": 959243163598467100,
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"timestamp": "03/31/2022 20:09:52",
"content": "you can continue facing the cat, and just walk backwards 2 steps",
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"id": 959243186092519400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:09:57",
"content": "so, rotate 0 degrees, and take -2 steps",
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"id": 959243211778453500,
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"timestamp": "03/31/2022 20:10:03",
"content": "alternatively, you can turn around and walk 2 steps",
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},
{
"id": 959243233483980800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:10:08",
"content": "so rotate 180 degrees, and take 2 steps",
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"id": 959243240580718600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:10:10",
"content": "compare",
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},
{
"id": 959243260809863200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:10:15",
"content": "rotate 0 degrees, take -2 steps",
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},
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"id": 959243279768121300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:10:19",
"content": "rotate 180 degrees, take 2 steps",
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},
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"id": 959243300878028800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:10:24",
"content": "do you see how these are equivalent?",
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"id": 959243505023201300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:11:13",
"content": "?",
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"id": 959243584387821600,
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"timestamp": "03/31/2022 20:11:32",
"content": "right",
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},
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"id": 959243591362957300,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:11:34",
"content": "so umm",
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},
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"id": 959243623231271000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:11:41",
"content": "ok hold on",
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"id": 959243626146308100,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:11:42",
"content": "LOL",
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},
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"id": 959243648376111100,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:11:47",
"content": "this is confusing bc it's a circle",
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"id": 959243733503737900,
"author_id": 852592874754932700,
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"timestamp": "03/31/2022 20:12:07",
"content": "so",
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},
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:12:35",
"content": "(1, pi/6) = (-1, 7pi/6)",
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"timestamp": "03/31/2022 20:12:39",
"content": "is that what you're saying?",
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"author_name": "jan Niku",
"timestamp": "03/31/2022 20:12:46",
"content": "just interpret -3 as like",
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"id": 959243925292458100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:12:53",
"content": "drop the negative sign, and add 180 degrees to the angle",
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"id": 959243956208689200,
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"timestamp": "03/31/2022 20:13:01",
"content": "these are equivalent",
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"timestamp": "03/31/2022 20:13:10",
"content": "so, yea",
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:13:12",
"content": "OHHHH",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:13:30",
"content": "you know there are infinitely many ways you can draw this coordinate",
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"timestamp": "03/31/2022 20:13:31",
"content": "thank you so much",
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"id": 959244089075859500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:13:32",
"content": "if you dont restrict",
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:13:35",
"content": ":prayge:",
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"id": 959244103302922200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "03/31/2022 20:13:36",
"content": "this is the problem youre seeing now",
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"timestamp": "03/31/2022 20:13:41",
"content": "its confusing as hell right",
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"author_name": "jan Niku",
"timestamp": "03/31/2022 20:13:46",
"content": ":happy:",
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"timestamp": "03/31/2022 20:13:58",
"content": "ill just go with this strategy",
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"content": "np",
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"content": "tysm :prayge:",
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"content": ".close",
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},
{
"id": 959244320249118700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 20:14:27",
"content": "Channel closed",
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}
] |
help-9
|
fc4b57e097954896bac3ce2ec63cc973
|
197,461 |
[
{
"id": 1001817715348082800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 07:45:56",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1001818614665593000,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:49:30",
"content": "Condense a logarithm",
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},
{
"id": 1001818616926310400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 07:49:31",
"content": "Pinned a message.",
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"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:50:05",
"content": "2 In (A) - 3 In (B) + 4 In (C)",
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},
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"id": 1001818900402552800,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:50:38",
"content": "My answer:",
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"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:50:44",
"content": "Is this correct?\nThanks",
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},
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"id": 1001819230641062000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/27/2022 07:51:57",
"content": "yes that looks fine",
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},
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"id": 1001819358462488700,
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"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:52:27",
"content": ":pandaHmm:",
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"id": 1001819381103349800,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:52:33",
"content": "Okay, thanks",
"attachments": [],
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},
{
"id": 1001819853147082900,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/27/2022 07:54:25",
"content": ".close",
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},
{
"id": 1001819854518636500,
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"timestamp": "07/27/2022 07:54:26",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
294680f32aa64d1e964488e423d05f95
|
197,462 |
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"id": 1001836131035385900,
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 08:59:06",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001837216466751500,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:03:25",
"content": "Hello , I'm still stuck on this exercise.",
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},
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"content": "Pinned a message.",
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"id": 1001837501062856800,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/27/2022 09:04:33",
"content": "Speak",
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},
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"id": 1001837553537781900,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:04:46",
"content": "Let's $(a,b,c,d) \\in \\mathbb(R)^4.$ Proove that $a^2 + b^2 = c^2 + d^2 = 1 \\Longrightarrow \\lvert ac \\rvert + \\lvert bd \\rvert \\leq 1$",
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"timestamp": "07/27/2022 09:04:48",
"content": "**Pako**",
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"author_name": "Pako",
"timestamp": "07/27/2022 09:05:19",
"content": "So i put :",
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"id": 1001837708672503900,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:05:22",
"content": "a = cos(t)",
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"id": 1001837724204019700,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:05:26",
"content": "c = cos(u)",
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"id": 1001837844521816000,
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"timestamp": "07/27/2022 09:05:55",
"content": "=> cos^2(t) + b^2 = cos^2(u) + d^2",
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"id": 1001837912356290700,
"author_id": 846787067181662200,
"author_name": "% Openglobe %",
"timestamp": "07/27/2022 09:06:11",
"content": "And I assume b and d are sin?",
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"id": 1001837979960094700,
"author_id": 258311789454950400,
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"timestamp": "07/27/2022 09:06:27",
"content": "yes",
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"id": 1001838031898169500,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:06:40",
"content": "in fact I can't figure out how to get to |ac + bd| <= 1",
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"id": 1001838162726899700,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:07:11",
"content": "from that point",
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"id": 1001838262681346200,
"author_id": 846787067181662200,
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"timestamp": "07/27/2022 09:07:35",
"content": "What have you tried",
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"id": 1001838509394514000,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:08:33",
"content": "I would like to factoring to try to get an similar expression of |ac + bd|",
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"timestamp": "07/27/2022 09:08:48",
"content": "i used triangular inequality, but didn't usefull i think",
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"id": 1001838743205990400,
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"author_name": "Pako",
"timestamp": "07/27/2022 09:09:29",
"content": "someone told me to use cauchy scharz, but didn't remember of it 😦",
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"timestamp": "07/27/2022 09:09:56",
"content": "Then you look it up via internet",
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"author_name": "Toby",
"timestamp": "07/27/2022 09:10:41",
"content": "~~why do you need to use trig or cs? We can use the fact that $(a\\pm b)^2\\geq0$ to get $a^2+b^2\\geq 2|ab|$~~",
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"timestamp": "07/27/2022 09:10:46",
"content": "yes but, this is not the preferred lead in this exercice",
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"timestamp": "07/27/2022 09:11:26",
"content": "this is enough ?",
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"timestamp": "07/27/2022 09:11:37",
"content": "yeah, thats the main observation",
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"timestamp": "07/27/2022 09:11:54",
"content": "wait nvm",
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"author_name": "Toby",
"timestamp": "07/27/2022 09:12:06",
"content": "misread the q",
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"id": 1001841924568785000,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "07/27/2022 09:22:08",
"content": "@Pako I don't think you need CS (or a parametrization) here. Try multiplying the two equations a^2 + b^2 = 1 and c^2 + d^2 = 1 together, RHS should still be 1, then manipulate s.t. you get an (ac + bd)^2 term on the LHS.",
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"timestamp": "07/27/2022 09:23:37",
"content": "ok but what is RHS and LHS pls (i'm not english^^)",
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"author_name": "Navix",
"timestamp": "07/27/2022 09:23:59",
"content": "Right hand side, left hand side (of the equation, i.e. LHS = RHS)",
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"timestamp": "07/27/2022 09:24:06",
"content": "okk thx",
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"timestamp": "07/27/2022 09:24:11",
"content": "i will try this thx",
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"timestamp": "07/27/2022 09:39:12",
"content": "@Pako Has your question been resolved?",
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"author_name": "Pako",
"timestamp": "07/27/2022 09:40:45",
"content": "how can you get (ac + bd)^2 on the left side ?????",
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"id": 1001847461670822000,
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"timestamp": "07/27/2022 09:44:08",
"content": "ok i see^^, i'm dumb",
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"id": 1001847772355510300,
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"timestamp": "07/27/2022 09:45:22",
"content": "in fact, i have on left side :",
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"id": 1001847848880586800,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 09:45:40",
"content": "$a^2c^2 + a^2d^2 + b^2c^2 + b^2d^2 = 1$",
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},
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"timestamp": "07/27/2022 09:45:42",
"content": "**Pako**",
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"timestamp": "07/27/2022 09:46:20",
"content": "$\\Longrightarrow a^2c^2 + b^2d^2 + a^2d^2 + b^2c^2 = 1$",
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"timestamp": "07/27/2022 09:46:29",
"content": "**Pako**",
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"timestamp": "07/27/2022 09:49:24",
"content": "$\\Longrightarrow (ac + bd)^2 + a^2d^2 + b^2c^2 - 2acbd = 1$",
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"content": "**Pako**",
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"content": "$\\Longrightarrow (ac + bd)^2 + (ad - bc)^2 = 1$",
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"timestamp": "07/27/2022 09:52:08",
"content": "$(ad - bc)^2 > 0$",
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"content": "**Pako**",
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"timestamp": "07/27/2022 09:52:37",
"content": "I can conclude that $(ac + bd)^2 \\leq 1$",
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"content": "**Pako**",
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"timestamp": "07/27/2022 09:53:02",
"content": "ok this is not what they asked",
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},
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"timestamp": "07/27/2022 09:54:55",
"content": "$\\lvert ac + bd \\rvert \\leq 1 = \\sqrt{(ac)^2 + (bd)^2}$",
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},
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"timestamp": "07/27/2022 09:55:57",
"content": "**Pako**",
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"timestamp": "07/27/2022 09:56:37",
"content": "ok sry, it's |ac + bd| <= 1 what i have to proove (but in fact, if i proove that, it's true)",
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"timestamp": "07/27/2022 10:04:23",
"content": "ok so",
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},
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"id": 1001852625471426600,
"author_id": 258311789454950400,
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"timestamp": "07/27/2022 10:04:39",
"content": "$\\Longrightarrow \\sqrt{(ac + bd)^2 + (ad - bc)^2}= \\sqrt{1}$",
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},
{
"id": 1001852685676458100,
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"timestamp": "07/27/2022 10:04:53",
"content": "**Pako**",
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"timestamp": "07/27/2022 10:05:19",
"content": "$\\Longrightarrow \\sqrt{(ac + bd)^2 + (ad - bc)^2}= 1$",
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"reference": null
},
{
"id": 1001852803746119800,
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"timestamp": "07/27/2022 10:05:21",
"content": "**Pako**",
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"timestamp": "07/27/2022 10:05:54",
"content": "then $(ad - bc)^2 \\geq 0$",
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"timestamp": "07/27/2022 10:05:59",
"content": "**Pako**",
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"timestamp": "07/27/2022 10:06:36",
"content": "$\\Longrightarrow \\sqrt{(ac + bd)^2} \\leq 1$",
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},
{
"id": 1001853163009232900,
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"timestamp": "07/27/2022 10:06:47",
"content": "**Pako**",
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"timestamp": "07/27/2022 10:07:40",
"content": "$\\Longrightarrow \\sqrt{(ac)^2 + (bd)^2 + 2abcd} \\leq 1$",
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"content": "**Pako**",
"attachments": [
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"author_name": "Pako",
"timestamp": "07/27/2022 10:08:11",
"content": "$\\Longrightarrow \\sqrt{(ac)^2 + (bd)^2} \\leq 1$",
"attachments": [],
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},
{
"id": 1001853525652938800,
"author_id": 510789298321096700,
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"timestamp": "07/27/2022 10:08:14",
"content": "**Pako**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1001853525724233889/258311789454950400.png",
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"author_id": 258311789454950400,
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"timestamp": "07/27/2022 10:08:44",
"content": "$\\Longrightarrow \\lvert ac+ bd \\rvert \\leq1$",
"attachments": [],
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"reference": null
},
{
"id": 1001853664232747100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/27/2022 10:08:47",
"content": "**Pako**",
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"author_name": "Pako",
"timestamp": "07/27/2022 10:08:51",
"content": "done thx to all",
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},
{
"id": 1001853702501584900,
"author_id": 258311789454950400,
"author_name": "Pako",
"timestamp": "07/27/2022 10:08:56",
"content": ".close",
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},
{
"id": 1001853704527413400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:08:56",
"content": "Channel closed",
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}
] |
help-9
|
2689df3b5e4049b88f6b86b5dbc746d2
|
197,463 |
[
{
"id": 1001853957473316900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:09:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001855016308592800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:14:09",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
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"channelId": 486844875632017400,
"guildId": null
}
},
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:14:53",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ffed1b083df54c1d881c15a0560ac6de
|
197,464 |
[
{
"id": 1001855425714585600,
"author_id": 756821061026447400,
"author_name": "veldora",
"timestamp": "07/27/2022 10:15:47",
"content": "",
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},
{
"id": 1001855473114423300,
"author_id": 756821061026447400,
"author_name": "veldora",
"timestamp": "07/27/2022 10:15:58",
"content": "1st question",
"attachments": [],
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},
{
"id": 1001855666052411400,
"author_id": 756821061026447400,
"author_name": "veldora",
"timestamp": "07/27/2022 10:16:44",
"content": "",
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},
{
"id": 1001855858856185900,
"author_id": 756821061026447400,
"author_name": "veldora",
"timestamp": "07/27/2022 10:17:30",
"content": "I wanna know if i done it correctly 🤧",
"attachments": [],
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"reference": null
},
{
"id": 1001856411891941400,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "07/27/2022 10:19:42",
"content": "It's correct.",
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},
{
"id": 1001856492888129500,
"author_id": 756821061026447400,
"author_name": "veldora",
"timestamp": "07/27/2022 10:20:01",
"content": "Thank you 🤧❤️",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001856637205749800,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "07/27/2022 10:20:35",
"content": "To verify your answer use: https://www.wolframalpha.com/widgets/view.jsp?id=f5f3cbf14f4f5d6d2085bf2d0fb76e8a\nIf it doesn't come up with a answer pick the plus at the bottom and it might.",
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},
{
"id": 1001857188337303700,
"author_id": 756821061026447400,
"author_name": "veldora",
"timestamp": "07/27/2022 10:22:47",
"content": "Oh ok thanks",
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},
{
"id": 1001857542403657900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:24:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001857673232404600,
"author_id": 986472621845667800,
"author_name": "Chubby_Gu",
"timestamp": "07/27/2022 10:24:42",
"content": "I need some help determining the equation",
"attachments": [
{
"id": 1001857672125087900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1001857672125087914/unknown.png",
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},
{
"id": 1001857674415194200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:24:43",
"content": "Pinned a message.",
"attachments": [],
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},
{
"id": 1001859296650330200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/27/2022 10:31:09",
"content": "its probably not a good idea to cheat on tests",
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},
{
"id": 1001861449452372000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:39:43",
"content": "@Chubby_Gu Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:54:43",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
87b49e0a80964e90bcd5ec54b77a8c1c
|
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