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[
{
"id": 1034639438342525000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 21:27:44",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1034641491638878300,
"author_id": 359126508650102800,
"author_name": "SadMad",
"timestamp": "10/25/2022 21:35:54",
"content": "Find the derivative of 3x[cos(4x)]",
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},
{
"id": 1034641493702475800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 21:35:54",
"content": "Pinned a message.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 21:50:54",
"content": "@SadMad Has your question been resolved?",
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{
"id": 1034651027250622500,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/25/2022 22:13:47",
"content": "-12xsin(4x)+3cos(4x)",
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},
{
"id": 1034651051544023000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "10/25/2022 22:13:53",
"content": "product rule",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034651910344552400,
"author_id": 359126508650102800,
"author_name": "SadMad",
"timestamp": "10/25/2022 22:17:18",
"content": ".close",
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},
{
"id": 1034651913230241900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 22:17:19",
"content": "Channel closed",
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}
] |
help-9
|
06ad738636c04b0da8aaf4bc17b0569e
|
200,166 |
[
{
"id": 1053384848775069800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 13:55:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053387927092215900,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:07:32",
"content": "I have use the euclidian extended algorhythm to show that sfd(8,22)=2",
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"reference": null
},
{
"id": 1053387929730437100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:07:33",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1053387987481796700,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:07:47",
"content": "This makes no sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053388039969329300,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:07:59",
"content": "The number is negative so I will never reach 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053388095665475700,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:08:13",
"content": "or 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053388143979659400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/16/2022 14:08:24",
"content": "What number is negative?",
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},
{
"id": 1053388377359142900,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:09:20",
"content": "",
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{
"id": 1053388497328808000,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:09:48",
"content": "This way which I learned from uni is different from others",
"attachments": [],
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"reference": null
},
{
"id": 1053388537019519000,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:09:58",
"content": "I am not sure, if you will understand it",
"attachments": [],
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"reference": null
},
{
"id": 1053389113354637300,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:12:15",
"content": ".close",
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},
{
"id": 1053389116189966500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:12:16",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
f5dd725253034a69868b188de1e438b7
|
200,167 |
[
{
"id": 1053390092896583700,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:16:09",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053390098277875800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:16:10",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053390111561224200,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:16:13",
"content": "I figured it out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053390116321771600,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:16:14",
"content": "nvm",
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"reference": null
},
{
"id": 1053390123208802400,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/16/2022 14:16:16",
"content": ".close",
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},
{
"id": 1053390125909942300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:16:17",
"content": "Channel closed",
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}
] |
help-9
|
faaca93d1c764ba2935277e6617ee02b
|
200,168 |
[
{
"id": 1053392618337345700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:26:11",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1053393177320636500,
"author_id": 700415206353797200,
"author_name": "Recallinq",
"timestamp": "12/16/2022 14:28:24",
"content": "hello",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053393179728162800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:28:25",
"content": "Pinned a message.",
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"id": 1053393228730216400,
"author_id": 700415206353797200,
"author_name": "Recallinq",
"timestamp": "12/16/2022 14:28:36",
"content": "i need to intetify this trigenometry",
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"reference": null
},
{
"id": 1053393237156577400,
"author_id": 700415206353797200,
"author_name": "Recallinq",
"timestamp": "12/16/2022 14:28:38",
"content": "equation",
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},
{
"id": 1053393343045980200,
"author_id": 700415206353797200,
"author_name": "Recallinq",
"timestamp": "12/16/2022 14:29:04",
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"id": 1053393627142950900,
"author_id": 345142826872340500,
"author_name": "DieterBowlin",
"timestamp": "12/16/2022 14:30:11",
"content": ",rotate",
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},
{
"id": 1053393633405046800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/16/2022 14:30:13",
"content": "",
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"id": 1053393770697207800,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/16/2022 14:30:46",
"content": "identify?",
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:44:04",
"content": "@Recallinq Has your question been resolved?",
"attachments": [],
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"id": 1053400896295411800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 14:59:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3793236808d84e9bb4b2c1c34bef140b
|
200,169 |
[
{
"id": 1053402606577389700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 15:05:52",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1053402992595976200,
"author_id": 906222663343702000,
"author_name": "miabugy",
"timestamp": "12/16/2022 15:07:24",
"content": "",
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"id": 1053402995863322800,
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 15:07:25",
"content": "Pinned a message.",
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"id": 1053403002880405600,
"author_id": 906222663343702000,
"author_name": "miabugy",
"timestamp": "12/16/2022 15:07:27",
"content": "help 😥",
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},
{
"id": 1053403313074348000,
"author_id": 906222663343702000,
"author_name": "miabugy",
"timestamp": "12/16/2022 15:08:41",
"content": "number 53- I don’t even know where to start or how",
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},
{
"id": 1053407088891670500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 15:23:41",
"content": "@miabugy Has your question been resolved?",
"attachments": [],
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{
"id": 906222663343702000,
"name": "miabugy",
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{
"id": 1053408845180960800,
"author_id": 906222663343702000,
"author_name": "miabugy",
"timestamp": "12/16/2022 15:30:40",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1053412486071726200,
"author_id": 906222663343702000,
"author_name": "miabugy",
"timestamp": "12/16/2022 15:45:08",
"content": "I’ll kms",
"attachments": [],
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"reference": null
},
{
"id": 1053414993053356000,
"author_id": 647991080989491200,
"author_name": "vfd",
"timestamp": "12/16/2022 15:55:05",
"content": "No need for such a reaction, just note that the 4 triangles are congruent and work from there",
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"id": 1053415813962543200,
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"author_name": "vfd",
"timestamp": "12/16/2022 15:58:21",
"content": "Hello? Bc is 6 if you want the answer directly",
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"id": 1053420036653580300,
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 16:15:08",
"content": "@miabugy Has your question been resolved?",
"attachments": [],
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{
"id": 1053421921661890700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 16:22:37",
"content": "Channel closed",
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}
] |
help-9
|
d8c9840f458744eaa8967302bd67a3d1
|
200,170 |
[
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"id": 1053421954276790300,
"author_id": 906222663343702000,
"author_name": "miabugy",
"timestamp": "12/16/2022 16:22:45",
"content": "thanks man dw I was kidding",
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"id": 1053424165807464600,
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 16:31:32",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1053424698135957600,
"author_id": 749753900885868700,
"author_name": "kimchi",
"timestamp": "12/16/2022 16:33:39",
"content": "not sure why this is wrong",
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"id": 1053424700837068900,
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 16:33:40",
"content": "Pinned a message.",
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{
"id": 1053425867864424400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "12/16/2022 16:38:18",
"content": "Try b_k",
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},
{
"id": 1053426135779782800,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "12/16/2022 16:39:22",
"content": "That's what you are supposed to substitute.",
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},
{
"id": 1053426302306238500,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "12/16/2022 16:40:02",
"content": "Hence prove 4b_(k-1) = b_k",
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},
{
"id": 1053428474628554900,
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 16:48:40",
"content": "@kimchi Has your question been resolved?",
"attachments": [],
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"id": 1053432251150520400,
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"timestamp": "12/16/2022 17:03:40",
"content": "Channel closed",
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}
] |
help-9
|
39dcb2ccc0ca45e9ba6d4346c3764127
|
200,171 |
[
{
"id": 1053447540600737800,
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 18:04:25",
"content": "Available help channel!",
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},
{
"id": 1053447693667663900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 18:05:02",
"content": "Pinned a message.",
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"id": 1053447808465772700,
"author_id": 479433857834287100,
"author_name": "Fysure",
"timestamp": "12/16/2022 18:05:29",
"content": "isnt it just the integral from 0 to pi/4 of sin(4theta)",
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{
"id": 1053448142697275500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/16/2022 18:06:49",
"content": "yea",
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},
{
"id": 1053449330595475500,
"author_id": 479433857834287100,
"author_name": "Fysure",
"timestamp": "12/16/2022 18:11:32",
"content": "or wait would it be 1/2 times the integral from 0 to pi/4 of (sin(4theta))^2",
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},
{
"id": 1053449522958844000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/16/2022 18:12:18",
"content": "no",
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},
{
"id": 1053449635320045600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/16/2022 18:12:45",
"content": "r is strictly >0",
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},
{
"id": 1053449697492205700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/16/2022 18:13:00",
"content": "as theta is from 0 to pi/4",
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},
{
"id": 1053449748734030000,
"author_id": 479433857834287100,
"author_name": "Fysure",
"timestamp": "12/16/2022 18:13:12",
"content": "oh okay",
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"content": "np",
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"timestamp": "12/16/2022 18:13:28",
"content": ".close",
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"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/16/2022 18:13:29",
"content": ":hyperhonk:",
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"timestamp": "12/16/2022 18:13:29",
"content": "Channel closed",
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] |
help-9
|
e61cee7e958a4863b4b647628b82cc75
|
200,172 |
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"timestamp": "12/16/2022 19:55:53",
"content": "Available help channel!",
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"id": 1053475900852805600,
"author_id": 749753900885868700,
"author_name": "kimchi",
"timestamp": "12/16/2022 19:57:07",
"content": "how do i simplify this?",
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"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/16/2022 19:59:04",
"content": "what you did was multiply r and s",
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"timestamp": "12/16/2022 19:59:06",
"content": "swr u handle this",
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"timestamp": "12/16/2022 19:59:28",
"content": "you need to find r-s, not r*s",
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"timestamp": "12/16/2022 20:12:07",
"content": "@kimchi Has your question been resolved?",
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"timestamp": "12/16/2022 20:13:44",
"content": "oh ok i see that now, thanks",
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"timestamp": "12/16/2022 20:13:54",
"content": "but how do i put it in one quotient?",
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"timestamp": "12/16/2022 20:14:27",
"content": "like i cant leave it as a/b - c/d",
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"id": 1053480267135856600,
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"timestamp": "12/16/2022 20:14:28",
"content": "U don’t need to?",
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"id": 1053480314359529600,
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"timestamp": "12/16/2022 20:14:39",
"content": "oh wait mb u do",
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"id": 1053480345539985400,
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"timestamp": "12/16/2022 20:14:47",
"content": "make the denominators the same",
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"timestamp": "12/16/2022 20:15:00",
"content": "mhm",
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"author_name": "kimchi",
"timestamp": "12/16/2022 20:15:13",
"content": "can u remind me how to do that lol",
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"id": 1053480573882085500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/16/2022 20:15:41",
"content": "In algebra, we learn that for any number n, n*1=n (identity)",
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"timestamp": "12/16/2022 20:15:54",
"content": "In division, any number (except zero) divided by itself is 1.",
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"timestamp": "12/16/2022 20:16:31",
"content": "So you can write `a/b` as `(a/b)*1` and write that as `(a/b)*(d/d)`",
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"timestamp": "12/16/2022 20:16:47",
"content": "Likewise, you can write `(c/d)` as `(c/d)*(b/b)`",
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"timestamp": "12/16/2022 20:17:00",
"content": "Then they have the same base, `bd`",
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"timestamp": "12/16/2022 20:17:29",
"content": "$\\frac{a}{b}-\\frac{c}{d}\\\\ =\\frac{ad}{bd}-\\frac{bc}{bd} \\\\= \\frac{ad-bc}{bd}$",
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"timestamp": "12/16/2022 20:17:32",
"content": "**ed**",
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"timestamp": "12/16/2022 20:17:46",
"content": "illustrating @SWR 's point",
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"timestamp": "12/16/2022 20:18:19",
"content": "ahh ok thanks",
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help-9
|
ed36533034d84b41a7dc7395987685e4
|
200,173 |
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"timestamp": "12/16/2022 21:19:16",
"content": "Available help channel!",
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"author_id": 625422843982643200,
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"timestamp": "12/16/2022 22:10:59",
"content": "what exactly does the integral above the graph represent? where do I get the F function from?",
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"author_name": "ed",
"timestamp": "12/16/2022 22:12:03",
"content": "What does the C mean",
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"author_id": 625422843982643200,
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"timestamp": "12/16/2022 22:12:43",
"content": "integrating along a curve",
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"timestamp": "12/16/2022 22:13:12",
"content": "so in this case i would expect that im integrating piecewise from the origin to (3,4), then from (3,4) to (4,4)",
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"author_name": "ZipperZQ🍀",
"timestamp": "12/16/2022 22:13:34",
"content": "but I just don't know what the expression in the given integral is supposed to represent and how it relates to the F function",
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"author_name": "waler",
"timestamp": "12/16/2022 22:19:38",
"content": "i assume you are talking about this?",
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"timestamp": "12/16/2022 22:20:03",
"content": "well according to what is given, your F is (y^2, 2xy)",
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"timestamp": "12/16/2022 22:20:22",
"content": "your job now is to just find the paths that we are taking",
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"timestamp": "12/16/2022 22:23:22",
"content": "but then what are the dx and dy? there isn't really such a thing as \"dF\" in this class b/c F isn't changing",
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"timestamp": "12/16/2022 22:23:29",
"content": "wait actually F is changing",
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"timestamp": "12/16/2022 22:23:33",
"content": "those are called differentials",
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"timestamp": "12/16/2022 22:23:35",
"content": "maybe the thing in the integral is the derivative of F",
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"timestamp": "12/16/2022 22:23:46",
"content": "it's dF",
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"id": 1053512829740777500,
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"timestamp": "12/16/2022 22:23:51",
"content": "no not quite",
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"author_name": "ZipperZQ🍀",
"timestamp": "12/16/2022 22:24:01",
"content": "oh true cus ther's no i and j",
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"id": 1053512975723528200,
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"timestamp": "12/16/2022 22:24:26",
"content": "technically the expression you are looking at in the integrand is the inner product of F and dr",
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"timestamp": "12/16/2022 22:24:36",
"content": "where dr is the differentials of the path you are taking",
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"author_name": "ZipperZQ🍀",
"timestamp": "12/16/2022 22:24:47",
"content": "oh so that's F dotted with dr already? but this is a piecewise path",
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"id": 1053513079461261400,
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"timestamp": "12/16/2022 22:24:51",
"content": "yes",
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"timestamp": "12/16/2022 22:24:59",
"content": "it doesnt matter",
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"author_name": "ZipperZQ🍀",
"timestamp": "12/16/2022 22:25:13",
"content": "but dr, or r for that matter, is not the same function on different parts of the path",
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"timestamp": "12/16/2022 22:25:20",
"content": "how could it not be piecewise?",
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"timestamp": "12/16/2022 22:26:12",
"content": "well no, it does not matter what path r is, it will always come around to looking like that",
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"author_name": "ZipperZQ🍀",
"timestamp": "12/16/2022 22:27:05",
"content": "so if I said t=x and then rewrote everything in terms of x and dx, then evaluated from 0 to 4, that would be the answer?",
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"timestamp": "12/16/2022 22:27:57",
"content": "yes, but dont forgot to evaluate the other path too",
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"timestamp": "12/16/2022 22:28:20",
"content": "ok so basically, lets just said we didnt rewrite the integrals just yet",
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"timestamp": "12/16/2022 22:28:45",
"content": "oh so i should use dy for the sloped part and then set dy=0 for the second part?",
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"timestamp": "12/16/2022 22:29:00",
"content": "and y=4",
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"timestamp": "12/16/2022 22:29:19",
"content": "we are having $\\int_C Fdr =\\int_{C_1} Fdr + \\int_{C_2} Fdr$",
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"timestamp": "12/16/2022 22:29:21",
"content": "**waler**",
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"timestamp": "12/16/2022 22:29:27",
"content": "and that is what you are going to evaluate",
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"timestamp": "12/16/2022 22:29:31",
"content": "ok",
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"timestamp": "12/16/2022 22:29:44",
"content": "in the end, Fdr is still equivalent to y^2dx+2xydy",
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"timestamp": "12/16/2022 22:30:02",
"content": "where C1 and C2 are the two paths you are suppose to evaluate",
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"timestamp": "12/16/2022 22:31:28",
"content": "so is the integrand gonna be different in the C1 vs C2 integrals",
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"id": 1053514905698959500,
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"timestamp": "12/16/2022 22:32:06",
"content": "yes the integrand will be different **after** you have parameterise your paths",
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"timestamp": "12/16/2022 22:33:02",
"content": "so if i set x=t and y=(4/3)t, and dx=dt, I will have dy=(4/3)dt for the sloped part and dy=0 for the second part",
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"content": "for now $\\int_C Fdr =\\int_{C_1} Fdr + \\int_{C_2} Fdr=\\int_{C_1}(y^2 dx+2xydy) + \\int_{C_2}(y^2dx+2xydy)$",
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"timestamp": "12/16/2022 22:33:34",
"content": "**waler**",
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"timestamp": "12/16/2022 22:33:43",
"content": "no not quite",
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"content": "you are close",
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"timestamp": "12/16/2022 22:34:04",
"content": "ok lets work on the first path C1 for example",
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"content": "like you have already mention, our path can be parameterised by (t, 4/3t) so that just means y=4/3x and x=3/4y. Now the integral evaluated along the first path is equivalent to the integral $\\int_{0}^{3} \\frac{16}{9} x^2 dx + \\int_{0}^{4} 2\\cdot \\frac{3}{4} y^2 dy$",
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"timestamp": "12/16/2022 22:36:31",
"content": "**waler**",
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"timestamp": "12/16/2022 22:37:11",
"content": "just like that and your integral $\\int_{C_1} Fdr$ is evaluated",
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"content": "**waler**",
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"timestamp": "12/16/2022 22:37:43",
"content": "okay",
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"timestamp": "12/16/2022 22:38:09",
"content": "so can you do similarly for the second path?",
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"timestamp": "12/16/2022 22:38:39",
"content": "well then y is simply 4",
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"timestamp": "12/16/2022 22:38:46",
"content": "so you have y=4 and dy=0",
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"timestamp": "12/16/2022 22:39:03",
"content": "again no, dx and dy are just differentials here",
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"timestamp": "12/16/2022 22:39:20",
"content": "they represent the little tiny infinisitemal change in x and y",
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"author_name": "ZipperZQ🍀",
"timestamp": "12/16/2022 22:39:25",
"content": "but y is unchanging",
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"timestamp": "12/16/2022 22:39:31",
"content": "so the change in y is 0",
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"timestamp": "12/16/2022 22:40:10",
"content": "i know, but again, they are not ours to evaluate",
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"timestamp": "12/16/2022 22:40:24",
"content": "our job is to know what is the relationship between x and y",
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"timestamp": "12/16/2022 22:40:35",
"content": "and what happens to y when x changes a little",
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"timestamp": "12/16/2022 22:40:42",
"content": "that is what dy and dx represent",
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"timestamp": "12/16/2022 22:41:02",
"content": "right",
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"timestamp": "12/16/2022 22:41:10",
"content": "so in the case of C2, it is correct to say that dy=0*dx, but again, that is not related to the problem",
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"timestamp": "12/16/2022 22:41:24",
"content": "we dont need that, neither do we need to know that to evaluate the integral",
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"timestamp": "12/16/2022 22:43:24",
"content": "perhaps i have forgot to mention that $\\\\ \\int_{C}f(x,y)dx + g(x,y)dy = \\int_{C}f(x,y)dx + \\int_{C}g(x,y)dy$",
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"timestamp": "12/16/2022 22:43:37",
"content": "this is what I was applying in order to evaluate the integrals",
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"timestamp": "12/16/2022 22:44:22",
"content": "bruh",
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"timestamp": "12/16/2022 22:44:43",
"content": "**waler**",
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"timestamp": "12/16/2022 22:46:55",
"content": "why is dy=0 not useful here",
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"timestamp": "12/16/2022 22:47:05",
"content": "cus then the second integral is zero",
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"timestamp": "12/16/2022 22:49:59",
"content": "ok this just goes back to what an integral is, and what dx and dy means in that notation",
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"timestamp": "12/16/2022 22:51:09",
"content": "like I get what dx and dy are intrinsically",
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"timestamp": "12/16/2022 22:51:53",
"content": "the way im seeing it is that x and y can be any functions of t you like that make whatever curve and its your job to choose that, and it affects dx and dy too",
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"timestamp": "12/16/2022 22:52:27",
"content": "ok i have to go now, but again, the steps to working out the integrals are presented above. The dx and dy are not ours to evaluate, it is a differentials that just helps makes clear of the notation we are using here",
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"timestamp": "12/16/2022 22:52:31",
"content": "so if the curve is a horizontal line, y is constant and dy is zero",
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"timestamp": "12/16/2022 22:52:54",
"content": "ok. well, thank you!",
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"content": "oh I think maybe i'd just say that the integration boundaries are the same number (4) for y so that makes it zero",
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"timestamp": "12/16/2022 23:08:48",
"content": "@ZipperZQ🍀 Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
30d33a0ae1a94abeaa918368a5db66c0
|
200,174 |
[
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"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 23:24:49",
"content": "Available help channel!",
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"author_name": "Umbraleviathan",
"timestamp": "12/16/2022 23:47:47",
"content": "Vertical lines have no slope (infinite slope)",
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"timestamp": "12/16/2022 23:47:58",
"content": "How can a slope be a point",
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"timestamp": "12/16/2022 23:48:12",
"content": "You should probably ask yoruself if the answer makes sense",
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help-9
|
76aaf80f8d084f12ae72795e71321105
|
200,175 |
[
{
"id": 1053535019156643800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/16/2022 23:52:02",
"content": "✅",
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"author_name": "Umbraleviathan",
"timestamp": "12/16/2022 23:57:14",
"content": "Dude again, why are your slopes points",
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"content": "It's always a number",
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"timestamp": "12/16/2022 23:57:44",
"content": "Do your Δy/Δx",
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"timestamp": "12/16/2022 23:58:41",
"content": "I really, really hope you understand what slope is",
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"author_name": "Umbraleviathan",
"timestamp": "12/16/2022 23:59:20",
"content": "It's concerning you keep on answering slopes as points. They're always numbers, and they measure the change in y over the change in x. As a stand-alone number, it's the change in y over a unit change in x",
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"timestamp": "12/17/2022 00:00:51",
"content": "A number",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 00:00:55",
"content": "Sometimes it isn't a fraction",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 00:00:59",
"content": "It just has to be a real number",
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"timestamp": "12/17/2022 00:01:02",
"content": "Yeah",
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"timestamp": "12/17/2022 00:01:06",
"content": "You no rise though so",
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"timestamp": "12/17/2022 00:01:09",
"content": "0/(anything that isn't 0) = 0",
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"timestamp": "12/17/2022 00:03:46",
"content": "umm no?",
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"timestamp": "12/17/2022 00:03:53",
"content": "wait",
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"timestamp": "12/17/2022 00:04:03",
"content": "take point (3, 5)",
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"timestamp": "12/17/2022 00:04:15",
"content": "and point (1, 5)",
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"timestamp": "12/17/2022 00:04:22",
"content": "rise is 5 - 5 = 0",
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"timestamp": "12/17/2022 00:04:30",
"content": "run is 3 - 1 = 2",
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"timestamp": "12/17/2022 00:04:40",
"content": "slope = rise/run = 0/2 = 0",
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"timestamp": "12/17/2022 00:07:47",
"content": "Rise is 0",
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"timestamp": "12/17/2022 00:07:53",
"content": "You have a definite change in x",
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"timestamp": "12/17/2022 00:08:04",
"content": "0/(any real number that isn't 0) = 0",
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"timestamp": "12/17/2022 00:08:13",
"content": "There should be a very evident pattern",
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"timestamp": "12/17/2022 00:08:40",
"content": "Horizontal lines parallel to the x-axis always have a slope of 0:\n\nVertical lines parallel to the y-axis always have a slope of infinity (or DNE)",
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"timestamp": "12/17/2022 00:25:10",
"content": "@Pewsky Has your question been resolved?",
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}
] |
help-9
|
ae01c7e70b7e41bcaa39845b7dbd6757
|
200,176 |
[
{
"id": 1033047932758413400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 12:03:40",
"content": "Available help channel!",
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"reference": null
},
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"id": 1033048307573997600,
"author_id": 950522228112506900,
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"timestamp": "10/21/2022 12:05:10",
"content": "Pinned a message.",
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"id": 1033048709715476600,
"author_id": 490897991432142850,
"author_name": "3317",
"timestamp": "10/21/2022 12:06:45",
"content": "$[-2,3]$ is a closed interval. Meaning $-2$ and $3$ are in it.",
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},
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"content": "**3317**",
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"timestamp": "10/21/2022 12:09:18",
"content": "i got",
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},
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"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:09:30",
"content": "-2 , -1 , 0",
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},
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"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:09:36",
"content": "but i dont know if its right",
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"timestamp": "10/21/2022 12:09:52",
"content": "Now let's look at $\\{-2, 3\\}\\cap\\mathbb{N}$. That is the set of all natural numbers that are either $-2$ or $3$. In this case, $-2\\notin\\mathbb{N}$, so it's only $\\{3\\}$.",
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"timestamp": "10/21/2022 12:09:55",
"content": "**3317**",
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"timestamp": "10/21/2022 12:10:05",
"content": "ah ok",
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},
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"id": 1033049598928896100,
"author_id": 490897991432142850,
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"timestamp": "10/21/2022 12:10:17",
"content": "Now let's call ${-2, 3}\\cap\\mathbb{N}$ $A$.",
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},
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"timestamp": "10/21/2022 12:10:19",
"content": "**3317**",
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"id": 1033049699684458600,
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"timestamp": "10/21/2022 12:10:41",
"content": "$A$ has only one element, so the integers minus that, will be the integers without that element.",
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"content": "**3317**",
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"author_name": "Rambo’",
"timestamp": "10/21/2022 12:10:44",
"content": "wait what",
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},
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"id": 1033049766331953200,
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"author_name": "3317",
"timestamp": "10/21/2022 12:10:57",
"content": "Namely, $\\{x\\in\\mathbb{Z},x\\neq3\\}$.",
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"timestamp": "10/21/2022 12:10:59",
"content": "**3317**",
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"timestamp": "10/21/2022 12:11:01",
"content": "What?",
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"timestamp": "10/21/2022 12:11:33",
"content": "i get that part",
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"timestamp": "10/21/2022 12:11:48",
"content": "Aight.",
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"id": 1033050153520738400,
"author_id": 490897991432142850,
"author_name": "3317",
"timestamp": "10/21/2022 12:12:29",
"content": "Then, it's asking for the intersection of $[-2,3]=(-2,-1,0,1,2,3)$ with ${x\\in\\mathbb{Z},x\\neq3}$.",
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},
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"id": 1033050166963482800,
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"author_name": "TeXit",
"timestamp": "10/21/2022 12:12:32",
"content": "**3317**",
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"timestamp": "10/21/2022 12:12:48",
"content": "yeo i got that part",
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},
{
"id": 1033050234290458600,
"author_id": 490897991432142850,
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"timestamp": "10/21/2022 12:12:49",
"content": "It's easy to see that it's $\\{-2,-1,0,1,2\\}$.",
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},
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"timestamp": "10/21/2022 12:12:51",
"content": "**3317**",
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"id": 1033050380306743300,
"author_id": 490897991432142850,
"author_name": "3317",
"timestamp": "10/21/2022 12:13:23",
"content": "Oh wait, take out the zero, since it doesn't consider $0\\in\\mathbb{N}$.",
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},
{
"id": 1033050390134001800,
"author_id": 510789298321096700,
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"timestamp": "10/21/2022 12:13:26",
"content": "**3317**",
"attachments": [
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"id": 1033050659643195400,
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"timestamp": "10/21/2022 12:14:30",
"content": "but we don't consider N",
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},
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"id": 1033050752115024000,
"author_id": 490897991432142850,
"author_name": "3317",
"timestamp": "10/21/2022 12:14:52",
"content": "What?",
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},
{
"id": 1033051091119640600,
"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:16:13",
"content": "do you think -2 , -1 , 0 are right",
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},
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"id": 1033051109738152000,
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"timestamp": "10/21/2022 12:16:17",
"content": "it should be 0",
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},
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"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:16:39",
"content": "beacsue we dont include \\mathbb{N}$.",
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},
{
"id": 1033051372196733000,
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"author_name": "3317",
"timestamp": "10/21/2022 12:17:20",
"content": "So, you agree that $[-2,3]\\cap\\mathbb{N}=\\{1, 2, 3\\}$, right?",
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},
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"id": 1033051429314769000,
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"timestamp": "10/21/2022 12:17:33",
"content": "OH NO",
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},
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"timestamp": "10/21/2022 12:17:44",
"content": "**3317**",
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"id": 1033051479277314200,
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"timestamp": "10/21/2022 12:17:45",
"content": "Now it's right.",
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},
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"id": 1033051508461277200,
"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:17:52",
"content": "yh",
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},
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"id": 1033051524374470700,
"author_id": 490897991432142850,
"author_name": "3317",
"timestamp": "10/21/2022 12:17:56",
"content": "True, you've got your answer right.",
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},
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"id": 1033051593668559000,
"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:18:13",
"content": "thanks",
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},
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"id": 1033051601709047900,
"author_id": 950522228112506900,
"author_name": "Rambo’",
"timestamp": "10/21/2022 12:18:15",
"content": ".close",
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},
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"id": 1033051605026746400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 12:18:15",
"content": "Channel closed",
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}
] |
help-9
|
33424dc9b4284223b94776caa8f83035
|
200,177 |
[
{
"id": 1034652165890912300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 22:18:19",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1034654111322341500,
"author_id": 727283034759626800,
"author_name": "Solar",
"timestamp": "10/25/2022 22:26:03",
"content": "help",
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},
{
"id": 1034654113167839200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 22:26:03",
"content": "Pinned a message.",
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"id": 1034654145354928300,
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"timestamp": "10/25/2022 22:26:11",
"content": "speak spanish",
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},
{
"id": 1034654150056759400,
"author_id": 727283034759626800,
"author_name": "Solar",
"timestamp": "10/25/2022 22:26:12",
"content": "??",
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},
{
"id": 1034654415505866800,
"author_id": 727283034759626800,
"author_name": "Solar",
"timestamp": "10/25/2022 22:27:15",
"content": "Could someone tell me how to know if a division is exact in a notable quotient?",
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},
{
"id": 1034655622295191600,
"author_id": 727283034759626800,
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"timestamp": "10/25/2022 22:32:03",
"content": "bruh",
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},
{
"id": 1034655626997010400,
"author_id": 727283034759626800,
"author_name": "Solar",
"timestamp": "10/25/2022 22:32:04",
"content": "??",
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},
{
"id": 1034659402990506100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 22:47:04",
"content": "@Solar Has your question been resolved?",
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"timestamp": "10/25/2022 23:02:05",
"content": "Channel closed",
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}
] |
help-9
|
8e33159ac9a3467994afdf1836f43fe7
|
200,178 |
[
{
"id": 1053591843725648000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 03:37:50",
"content": "Available help channel!",
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},
{
"id": 1053592695475540000,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:41:13",
"content": "Hello",
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},
{
"id": 1053592697539149800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 03:41:13",
"content": "Pinned a message.",
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"messageId": 1053592695475540000,
"channelId": 486844875632017400,
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}
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{
"id": 1053592832692211800,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:41:46",
"content": "function or not?",
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},
{
"id": 1053592838551654400,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:41:47",
"content": "",
"attachments": [
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"id": 1053592859305050100,
"author_id": 1028616262282117200,
"author_name": "马可",
"timestamp": "12/17/2022 03:41:52",
"content": "Yes",
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},
{
"id": 1053592908240007200,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:42:04",
"content": "yes to?",
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},
{
"id": 1053592936446705800,
"author_id": 1028616262282117200,
"author_name": "马可",
"timestamp": "12/17/2022 03:42:10",
"content": "Also btw draw the XY axes if you want to make us understand",
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},
{
"id": 1053592994378416100,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:42:24",
"content": "oh btw",
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},
{
"id": 1053593019879796700,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:42:30",
"content": "if a line hits the shape two times",
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},
{
"id": 1053593035692326900,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:42:34",
"content": "its a not a function",
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},
{
"id": 1053593039609798700,
"author_id": 704994267147534300,
"author_name": "Karsi",
"timestamp": "12/17/2022 03:42:35",
"content": "right?",
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},
{
"id": 1053593062145786000,
"author_id": 1028616262282117200,
"author_name": "马可",
"timestamp": "12/17/2022 03:42:40",
"content": "？",
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},
{
"id": 1053593140432482300,
"author_id": 1028616262282117200,
"author_name": "马可",
"timestamp": "12/17/2022 03:42:59",
"content": "Do you know the formal definition of function ?",
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"author_name": "Karsi",
"timestamp": "12/17/2022 03:43:06",
"content": "vertical line test is what i do",
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},
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"id": 1053593178852298800,
"author_id": 1028616262282117200,
"author_name": "马可",
"timestamp": "12/17/2022 03:43:08",
"content": "It would just solve all your questions",
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},
{
"id": 1053593443571601400,
"author_id": 1028616262282117200,
"author_name": "马可",
"timestamp": "12/17/2022 03:44:11",
"content": "> a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.",
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"id": 1053593565055438800,
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"timestamp": "12/17/2022 03:44:40",
"content": "ty",
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"id": 1053593575910281200,
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"timestamp": "12/17/2022 03:44:43",
"content": "i get ti now",
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},
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 03:59:43",
"content": "@Karsi Has your question been resolved?",
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"timestamp": "12/17/2022 04:14:44",
"content": "Channel closed",
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}
] |
help-9
|
72cf0d34ccdd4e7daedcbfda38df73bd
|
200,179 |
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"id": 1053601381031878700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 04:15:44",
"content": "Available help channel!",
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},
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"id": 1053611657147977700,
"author_id": 876079840531451900,
"author_name": "mattwhite",
"timestamp": "12/17/2022 04:56:34",
"content": "If P = 1101, Q = 1011, R = 1111, S = 0111, what’s the answer for formula (P-Q)+R*S ?",
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"content": "Pinned a message.",
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"id": 1053611733719208000,
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"author_name": "mattwhite",
"timestamp": "12/17/2022 04:56:52",
"content": "It’s a binary problem",
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"id": 1053612327833972700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/17/2022 04:59:14",
"content": "Try converting them to base 10 for simplicity, calculate and convert back perhaps?",
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"id": 1053612780747509900,
"author_id": 876079840531451900,
"author_name": "mattwhite",
"timestamp": "12/17/2022 05:01:02",
"content": "Yes I know it. But I want to know how to do it without conversion.",
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"id": 1053612925505503200,
"author_id": 153874513115873280,
"author_name": "ameo",
"timestamp": "12/17/2022 05:01:36",
"content": "You can not",
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"timestamp": "12/17/2022 05:01:55",
"content": "Oh ok then 👍",
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"id": 1053613039930323000,
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"author_name": "mattwhite",
"timestamp": "12/17/2022 05:02:03",
"content": "Thanks btw 🙏",
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"id": 1053613176333275100,
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"author_name": "mattwhite",
"timestamp": "12/17/2022 05:02:36",
"content": ".close",
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"timestamp": "12/17/2022 05:02:37",
"content": "Channel closed",
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}
] |
help-9
|
ff9002861d6b46a7a58e0ff1071c8cfe
|
200,180 |
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"timestamp": "12/17/2022 05:28:19",
"content": "sup",
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"content": "Pinned a message.",
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"timestamp": "12/17/2022 05:28:20",
"content": "one again",
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"timestamp": "12/17/2022 05:28:27",
"content": "confused with my previous question",
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"timestamp": "12/17/2022 05:28:44",
"content": "do vectors only make an angle when their terminal or initial points touch?",
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"timestamp": "12/17/2022 05:29:06",
"content": "can it be like this",
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"content": "yesh",
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"content": "how?",
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"timestamp": "12/17/2022 05:30:49",
"content": "in this case js take 180-wtv angle u find",
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"content": "that’s what someone else told me lmao",
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"content": "but why 180? I dont get it",
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"content": "basically it’s like pushing the vector so that the terminal pts touch",
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"timestamp": "12/17/2022 05:35:54",
"content": "why not just calculate theta? thats my question",
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"content": "why cant such an angle be formed",
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"content": "oh",
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"content": "hmm",
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"content": "There’s 180 degrees in a triangle",
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"content": "Dude there’s 360 degrees in a sphere and 180 degrees in a triangle 😂",
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"timestamp": "12/17/2022 05:38:00",
"content": "actually that’s an interesting qn",
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"timestamp": "12/17/2022 05:38:08",
"content": "never thought abt that",
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"content": "yeye thats why lexqa said",
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"content": "lexxx!",
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"content": "lmao",
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"timestamp": "12/17/2022 05:39:30",
"content": "Vectors are inside the angle",
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"timestamp": "12/17/2022 05:39:50",
"content": "bro what are you on about 😂",
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"timestamp": "12/17/2022 05:39:58",
"content": "I assume we don't take that angle because it's not how it comes up in maths",
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"timestamp": "12/17/2022 05:40:05",
"content": "but why not",
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"timestamp": "12/17/2022 05:40:09",
"content": "there must be a reason",
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"timestamp": "12/17/2022 05:40:21",
"content": "i am not rly sure,, that’s how it’s defined ig",
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"timestamp": "12/17/2022 05:40:26",
"content": "it's just an arrow from origin to some point if you're drawing it as an arrow",
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"timestamp": "12/17/2022 05:40:34",
"content": "at least that's how I usually see it",
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"timestamp": "12/17/2022 05:40:47",
"content": "so if you take any two vectors they're just not gonna look like that",
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"timestamp": "12/17/2022 05:40:48",
"content": "but two vectors",
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"timestamp": "12/17/2022 05:40:54",
"content": "when they meet",
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"timestamp": "12/17/2022 05:41:00",
"content": "the terminal and initial point",
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"timestamp": "12/17/2022 05:41:04",
"content": "wont it make an angle",
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"timestamp": "12/17/2022 05:41:16",
"content": "why not just take that angle",
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"timestamp": "12/17/2022 05:41:28",
"content": "why do we always NEED it to be such that terminal and terminal touch",
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"timestamp": "12/17/2022 05:41:33",
"content": "initial and initial touch",
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"id": 1053623098848591900,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 05:42:02",
"content": "in my little world there are no initial and terminal points",
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"timestamp": "12/17/2022 05:42:09",
"content": "what",
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"author_name": "Doggo",
"timestamp": "12/17/2022 05:42:15",
"content": "if you proved a result using the 60 degree here, then it's easier to use 180 - theta with that result than write some other proof I guess",
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"timestamp": "12/17/2022 05:42:29",
"content": "alr lets pretend",
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"timestamp": "12/17/2022 05:42:49",
"content": "the initial point of bector a is touching terminal of b",
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"content": "wont 60° also be formed",
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"content": "its just the direction being different",
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"timestamp": "12/17/2022 05:43:14",
"content": "sure but the vectors are different now",
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"timestamp": "12/17/2022 05:43:22",
"content": "ye exacrly",
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"timestamp": "12/17/2022 05:43:27",
"content": "but the answer is apparently wrong",
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"timestamp": "12/17/2022 05:43:51",
"content": "tbh this just feels like asking \"why use + for addition\"",
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"timestamp": "12/17/2022 05:44:14",
"content": "I'm not sure if that's a correct comparison though",
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"timestamp": "12/17/2022 05:44:22",
"content": "but why is it that we NEED the terminal points of vectors to touch for an angle to be formed 😭😭😭😭",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 05:44:46",
"content": "the \"initial point\" of every vector is the origin",
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"timestamp": "12/17/2022 05:44:53",
"content": "thats what another guy said too",
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"timestamp": "12/17/2022 05:45:03",
"content": "cant vectors not have initial at origin",
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"timestamp": "12/17/2022 05:45:56",
"content": "ehh",
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"timestamp": "12/17/2022 05:46:02",
"content": "Helo",
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"author_name": "reapsyy",
"timestamp": "12/17/2022 05:46:03",
"content": "why do we add why not just not add",
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"timestamp": "12/17/2022 05:46:07",
"content": "same typa question",
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"author_name": "reapsyy",
"timestamp": "12/17/2022 05:46:17",
"content": "if it works let it work 💀",
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"timestamp": "12/17/2022 05:46:24",
"content": "i wanna know the why",
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"timestamp": "12/17/2022 05:46:36",
"content": "Anybody knows recurring decimal",
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"author_name": "reapsyy",
"timestamp": "12/17/2022 05:46:38",
"content": "ud have to ask the person who came up w the rule",
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"timestamp": "12/17/2022 05:46:50",
"content": "ill wait until i get an answer",
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"timestamp": "12/17/2022 05:46:59",
"content": "no worries",
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"timestamp": "12/17/2022 05:47:04",
"content": ".",
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"timestamp": "12/17/2022 05:47:15",
"content": "findanother channel",
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"timestamp": "12/17/2022 05:47:22",
"content": "im using this one",
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"timestamp": "12/17/2022 05:47:24",
"content": "I have tried that brother",
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"timestamp": "12/17/2022 05:47:29",
"content": "Im new",
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"timestamp": "12/17/2022 05:47:38",
"content": "just have to wait then",
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"timestamp": "12/17/2022 05:47:47",
"content": "Alright then",
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"timestamp": "12/17/2022 05:47:49",
"content": "use one of these",
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"timestamp": "12/17/2022 05:47:53",
"content": "Ok",
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"content": "It's not necessary",
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"content": "It should be clear here that the length is of the vectors is irrelevant",
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"content": "All that matters is their direction",
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"timestamp": "12/17/2022 05:49:15",
"content": "If you fix their starting point, then they define a line",
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"timestamp": "12/17/2022 05:49:30",
"content": "So 2 vectors and 2 points make 2 lines",
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"content": "These lines make an angle",
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"content": "This angle is independent of the initial points and the lengths of the vectors",
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"timestamp": "12/17/2022 05:50:52",
"content": "^^ this",
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"timestamp": "12/17/2022 05:51:07",
"content": "but vecotrs can have initials not at origin",
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"timestamp": "12/17/2022 05:51:20",
"content": "But it doesn't matter",
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"content": "U can make them be at the origin, it does not matter",
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"timestamp": "12/17/2022 05:51:42",
"content": "so ur saying that in this picture, if terminal of a was touching initial of b, it would still make 60°?",
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"content": "You can easily see that by sliding them around in your head",
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"content": "no",
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"content": "everyone tells me to 180- the angle",
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"timestamp": "12/17/2022 05:52:32",
"content": "but that would mean the initials of each are touching",
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"timestamp": "12/17/2022 05:52:43",
"content": "i want the terminal of one and the initial of another to touch",
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"timestamp": "12/17/2022 05:52:50",
"content": "and get that angle",
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"timestamp": "12/17/2022 05:53:20",
"content": "but apparently i need both terminals or both initials to touch",
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"timestamp": "12/17/2022 05:53:26",
"content": "which i dont get why",
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"timestamp": "12/17/2022 05:53:36",
"content": "Because we care about their direction when saying that",
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"content": "why care about the direction",
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"content": "the angle made will stkll be the same wont it",
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"content": "60° one way is 120° the other way",
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"timestamp": "12/17/2022 05:54:14",
"content": "we’re not changing the angle at which one vector is headed towards another",
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"timestamp": "12/17/2022 05:54:52",
"content": "Tbh the angle between their tails is more important for us, if u r wondering about that. Because for example the dot product, you are looking to find the projection of some vector A into some vector B",
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"timestamp": "12/17/2022 05:55:09",
"content": "You can find that out using the angle between their two tails, but I hate using this terminology lmao",
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"timestamp": "12/17/2022 05:55:22",
"content": "alr lets say this",
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"timestamp": "12/17/2022 05:55:34",
"content": "see this picture",
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"content": "It's when we care about it that it's the angle that works with the dot product",
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"timestamp": "12/17/2022 05:55:49",
"content": "the initials of both vectors are touching",
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"timestamp": "12/17/2022 05:55:55",
"content": "and it makes 60°",
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"timestamp": "12/17/2022 05:56:06",
"content": "will this work too?",
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"timestamp": "12/17/2022 05:56:28",
"content": "ive been told no but no reason why",
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"timestamp": "12/17/2022 05:56:58",
"content": "Because if you allow them to be put together in any way then you have an ill-defined angle",
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"content": "It could be 60° or 120° depending on your drawing",
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"content": "why would it be ill defined",
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"timestamp": "12/17/2022 05:57:26",
"content": "its making a specific angle",
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"timestamp": "12/17/2022 05:57:28",
"content": "We don't want the angle between 2 vectors to depend on the drawing",
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"timestamp": "12/17/2022 05:57:49",
"content": "what would it depend on then",
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"timestamp": "12/17/2022 05:58:03",
"content": "Whether it's tip-tip, tail-tail or mixed",
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"timestamp": "12/17/2022 05:58:04",
"content": "this qn has me scratching my head 😵💫",
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"content": "i want mixed",
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"timestamp": "12/17/2022 05:58:15",
"content": "We basically need some convention",
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"timestamp": "12/17/2022 05:58:41",
"content": "alr but why is it wrong though",
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"timestamp": "12/17/2022 05:58:53",
"content": "You can. But the point of our definitions is to serve a purpose. It turns out that this definition is far less useful",
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"timestamp": "12/17/2022 05:58:55",
"content": "because when i try to calculate using dot product",
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"timestamp": "12/17/2022 05:59:00",
"content": "i need to 180- the angle",
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"timestamp": "12/17/2022 05:59:17",
"content": "but that means the tails are touching or initials are touching",
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"timestamp": "12/17/2022 05:59:21",
"content": "so its not mixed",
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"timestamp": "12/17/2022 05:59:24",
"content": "That is why we chose the other one, it's more practical for the dot product",
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"timestamp": "12/17/2022 05:59:44",
"content": "Because you are going to use this for this one question and then you are going to use the \"normal method\" For the other",
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"timestamp": "12/17/2022 06:00:14",
"content": "hmm",
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"timestamp": "12/17/2022 06:01:25",
"content": "I think what you're talking about is more regarding generality. If you're going to use your method here then you have to use it for the rest of your vector operations too",
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"timestamp": "12/17/2022 06:01:57",
"content": "honestly nvr thought abt this qn",
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"timestamp": "12/17/2022 06:02:10",
"content": "interesting :thinkies:",
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"timestamp": "12/17/2022 06:02:40",
"content": "but when i use it, i have to 180- the angle for the right answer",
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"timestamp": "12/17/2022 06:02:45",
"content": "Yes",
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"timestamp": "12/17/2022 06:03:01",
"content": "but when i do that, it means both terminals or both initials are touching",
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"timestamp": "12/17/2022 06:03:04",
"content": "so its not mixed anymore",
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"timestamp": "12/17/2022 06:03:04",
"content": "That's why we chose the more practical definition that lets us directly plug in the angle",
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"timestamp": "12/17/2022 06:03:05",
"content": "Yeah because the \"right answer\" Is based on the normal method the rest of the world uses",
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"timestamp": "12/17/2022 06:03:13",
"content": "ahhhhhh",
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"timestamp": "12/17/2022 06:03:17",
"content": "No",
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"timestamp": "12/17/2022 06:03:51",
"content": "but why cant the angle that the mixed one creates be the direct one",
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"timestamp": "12/17/2022 06:04:01",
"content": "why doed the direct one have to be when both terminals or both initials touch",
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"timestamp": "12/17/2022 06:04:12",
"content": "The reason the dot product uses that angle isn't that it's a convention. It has a much more general and abstract definition that can be boiled down to uv cos theta in R^2",
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"timestamp": "12/17/2022 06:04:44",
"content": "I guess it really goes down the abstraction ladder :thinkies:",
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"timestamp": "12/17/2022 06:04:53",
"content": "fk",
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"timestamp": "12/17/2022 06:04:59",
"content": "We invented the dot product with other definitions",
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"timestamp": "12/17/2022 06:05:11",
"content": "Physicists use it to project one vector onto another",
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"timestamp": "12/17/2022 06:05:12",
"content": "damn",
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"timestamp": "12/17/2022 06:05:33",
"content": "who created vectors bro",
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"timestamp": "12/17/2022 06:05:47",
"content": "It can be used to quantify how much 2 vectors are pointing \"in similar directions\"",
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"timestamp": "12/17/2022 06:06:08",
"content": "From this you then use the dot product to define the angle between your vectors",
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"timestamp": "12/17/2022 06:06:22",
"content": "Because of this, you get that convention",
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{
"id": 1053629275875586000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:06:34",
"content": "physicists also ruined linear algebra in schools today 💅🏻",
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"id": 1053629366761959600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:06:56",
"content": "jk",
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"id": 1053629389138563100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:07:01",
"content": "i love all physicists 🙂",
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"author_name": "Springsskateboard",
"timestamp": "12/17/2022 06:07:16",
"content": "so technically we’re living by their rules",
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"timestamp": "12/17/2022 06:07:24",
"content": "the physicist",
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"timestamp": "12/17/2022 06:07:27",
"content": "Why do you say that?",
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"timestamp": "12/17/2022 06:07:32",
"content": "Actually quite curious",
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"author_name": "Springsskateboard",
"timestamp": "12/17/2022 06:07:40",
"content": "bro i dont even take physics",
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"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "12/17/2022 06:07:46",
"content": "why do ihave to suffer theoufh this",
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"id": 1053629703208058900,
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"timestamp": "12/17/2022 06:08:16",
"content": "Linalg also has applications in computer science don't worry",
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"id": 1053629708169904100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:08:17",
"content": "the interpretation of vectors in schools is always arrows and forces and stuff",
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"id": 1053629838373687300,
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"timestamp": "12/17/2022 06:08:48",
"content": "You want the Bourbaki era back ?",
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"id": 1053630190883983400,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:10:13",
"content": "i just want students to not be confused by everything when they do linear algebra",
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"id": 1053630234316001300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:10:23",
"content": "and the physics interpretation does that from my experience",
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"timestamp": "12/17/2022 06:12:00",
"content": "Math starts by only talking about vectors in R^2 and R^3 which have properties which they may struggle to generalize, but is that physics' fault ?",
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"id": 1053630775704170600,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:12:32",
"content": "no not really i was kidding about blaming physicists lol",
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"id": 1053630918365024300,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:13:06",
"content": "but students typically don't even learn what a vector is",
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"timestamp": "12/17/2022 06:13:35",
"content": "ye come to think of it",
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"id": 1053631051081207800,
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"timestamp": "12/17/2022 06:13:38",
"content": "what is a vector",
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"id": 1053631072472141800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:13:43",
"content": "see",
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"id": 1053631122006888400,
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"author_name": "themateo713",
"timestamp": "12/17/2022 06:13:55",
"content": "How do you bring the concept of infinite dimensional vector spaces in a intuitive way when they only know 2D and 3D ? I doubt it's doable.\nAnd you can't start with that in middle school, that's ridiculous",
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"timestamp": "12/17/2022 06:14:03",
"content": "something with a direction and magnitude",
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"timestamp": "12/17/2022 06:14:09",
"content": "thats all i know",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:14:20",
"content": "who said anything about infinite dimensional vector spaces",
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"timestamp": "12/17/2022 06:14:36",
"content": "Made me think of that",
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"timestamp": "12/17/2022 06:14:51",
"content": "dude, tesching vectors will always be ridiculous",
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"timestamp": "12/17/2022 06:15:13",
"content": "i swear on god i cant find anyone who explains it well",
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"timestamp": "12/17/2022 06:15:35",
"content": "the internet is just filled with people teaching me how to use the formulas",
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"timestamp": "12/17/2022 06:15:48",
"content": "I think a mathematical Interpretation is more vital by like late high school and early university",
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"timestamp": "12/17/2022 06:16:38",
"content": "But you kind of do have to give the physics interpretation early on since there is no way any teenager would rationalise that probably :thonk:",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:17:13",
"content": "the mathematical interpretation of vectors in R^2 or R^3 isn't that complicated",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:17:18",
"content": "they are just points in space",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:17:24",
"content": "with a simple addition rule",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:17:30",
"content": "and a simple scalar multiplication rule",
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"author_name": "♡A(lex)♡",
"timestamp": "12/17/2022 06:17:57",
"content": "Yeah but isn't knowing that also necessary for the \"physics interpretation\"",
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"content": "The operations are simpler to visualize as translations though",
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"content": "That's why we represent them as pointing from the origin",
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"timestamp": "12/17/2022 06:18:51",
"content": "maybe but it diverges from \"they are just points in space\" completely",
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"timestamp": "12/17/2022 06:20:12",
"content": "Oh wdym by that",
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"timestamp": "12/17/2022 06:21:55",
"content": "i mean that people are taught vectors are arrows that have a magnitude and direction and an initial point and terminal point and what not",
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"timestamp": "12/17/2022 06:22:59",
"content": "linear algebra is very inaccessible with that mindset",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:23:40",
"content": "even linear algebra in R^2 or R^3",
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"timestamp": "12/17/2022 06:23:42",
"content": "I get what u mean by that, but I think \"points in space\" Would also start conflicting with their usual idea of a \"point\" That they have learnt up to that point too no?",
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"timestamp": "12/17/2022 06:24:19",
"content": "The point (3, 2) and the vector (3, 2)",
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"timestamp": "12/17/2022 06:24:30",
"content": "It's built in the nature of vectors",
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"content": "Mathematically, they are points in their vector space",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/17/2022 06:24:44",
"content": "maybe, i couldn't say",
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"timestamp": "12/17/2022 06:25:41",
"content": "And you distinguish them from points by having the concept of affine space",
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"timestamp": "12/17/2022 06:25:47",
"content": "Dunno u r the teacher not me so I will trust you with that :opencry:",
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"content": "So if A and B are in the affine space, the vector AB is in the vector space",
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"timestamp": "12/17/2022 06:27:37",
"content": "So the vector v is equal to the vector OV once you've fixed the origin O, and V is the point that \"v points to when starting from O\"",
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"timestamp": "12/17/2022 06:32:37",
"content": "@Springsskateboard Has your question been resolved?",
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help-9
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4c43b1dae2b74d039876323c57bdf913
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200,181 |
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"content": ".close",
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help-9
|
55e29d478e0342eabbb99049fb041320
|
200,182 |
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"content": "last part",
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"timestamp": "12/17/2022 08:19:43",
"content": "how do i do :/",
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"content": "oop nvm got it",
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help-9
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3f36a9e971084c9e9220b6df4113169b
|
200,183 |
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help-9
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04130304f4704c43ac15553e9906e31b
|
200,184 |
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"id": 1053671168831410300,
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"timestamp": "12/17/2022 08:53:02",
"content": "My apologies",
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"content": "can someone help read this cubic function into a graph?",
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"content": "so far i think, that i have a stationary point at x = 2, and a point at -4",
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"timestamp": "12/17/2022 09:29:39",
"content": "but im not sure how to progress further",
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"timestamp": "12/17/2022 09:30:29",
"content": "like this?",
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"timestamp": "12/17/2022 09:31:20",
"content": "and x = -2 as its repeated?",
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82620d2c3bce48b49df06468f6085b5c
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200,185 |
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c40312e5dbed4657831cf09021c8236c
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 10:50:57",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1053701478688231600,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:53:29",
"content": "can someone help me on how i should go about solving this?",
"attachments": [
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"id": 1053701480634404900,
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 10:53:29",
"content": "Pinned a message.",
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"id": 1053702089265655800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:55:54",
"content": "So area is 100cm^2",
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},
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"id": 1053702151089701000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:56:09",
"content": "First step: find length of the sides of the outer square",
"attachments": [],
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},
{
"id": 1053702330639450100,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:56:52",
"content": "10",
"attachments": [],
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},
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"id": 1053702461040361500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:57:23",
"content": "Second step: What's the diameter or radius of the circles?",
"attachments": [],
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},
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"id": 1053702556708262000,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:57:46",
"content": "diameter 5",
"attachments": [],
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},
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"id": 1053702593785893000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:57:55",
"content": "No",
"attachments": [],
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},
{
"id": 1053702618247073800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:58:01",
"content": "Yes",
"attachments": [],
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},
{
"id": 1053702624421093400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:58:02",
"content": "Sorry",
"attachments": [],
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},
{
"id": 1053702811940044900,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:58:47",
"content": "so area of inner circle would be 25?",
"attachments": [],
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},
{
"id": 1053702827601576000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:58:50",
"content": "Third step :What would the sides be of the smaller square?",
"attachments": [],
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},
{
"id": 1053702869964030100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:59:01",
"content": "Inner square u mean?",
"attachments": [],
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},
{
"id": 1053702886586077300,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:59:05",
"content": "yea",
"attachments": [],
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},
{
"id": 1053702957276876900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:59:21",
"content": "Yes it's 25 cm^2",
"attachments": [],
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},
{
"id": 1053702970941915100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/17/2022 10:59:25",
"content": "QED",
"attachments": [],
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},
{
"id": 1053702995566661800,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:59:30",
"content": "ok ty",
"attachments": [],
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},
{
"id": 1053703115901255800,
"author_id": 821130663398604800,
"author_name": "FC_elitesniper",
"timestamp": "12/17/2022 10:59:59",
"content": ".close",
"attachments": [],
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},
{
"id": 1053703119042793600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 11:00:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e3d372d63a2847f28a51687c65de9660
|
200,187 |
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{
"id": 1053704007065026600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 11:03:32",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1053705309933273100,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:08:42",
"content": "`If there's a 64% chance to get twins of the same gender and a 51% chance to get a boy then what's the probability of getting a boy if the first child was also a boy?` \n`P{Boy | Boy} = ?`\nCan anyone help? The answer is supposed to be `11/17 = 0.6471` but I have no idea how to do that",
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"id": 1053705312454049900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 11:08:43",
"content": "Pinned a message.",
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},
{
"id": 1053705973526691800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/17/2022 11:11:20",
"content": "Draw a tree",
"attachments": [],
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},
{
"id": 1053706288997085200,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:12:36",
"content": "Well, yeah, I've been drawing one for the past 30 minutes and still haven't figured out how to exactly do it",
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"timestamp": "12/17/2022 11:24:29",
"content": "",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:25:36",
"content": "i don't get it",
"attachments": [],
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},
{
"id": 1053710299850612700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:28:32",
"content": "what does it mean, what's 51%",
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},
{
"id": 1053710631825588400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:29:51",
"content": "what amount of babbys can you get, is it two or 1−2 or what",
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},
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"id": 1053710912919453800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:30:58",
"content": "@cesarzhelp?",
"attachments": [],
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"id": 1053711265022869500,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:32:22",
"content": "the chance of getting a boy",
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"id": 1053711621094129700,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:33:47",
"content": "51% change of getting a boy while 64% of getting same gender of the second child",
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},
{
"id": 1053711869468217300,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:34:46",
"content": "so first two branches are just probably 0.51 for boy and 0.49 for girl",
"attachments": [],
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},
{
"id": 1053712006944923600,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:35:19",
"content": "but the lower branches have either their chances lowered or raised because of the 64% of getting the same gender",
"attachments": [],
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},
{
"id": 1053712199467663400,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:36:05",
"content": "i.e. the chance of getting a second boy is higher",
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},
{
"id": 1053715025468084400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:47:19",
"content": "i don't get what's 51%",
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},
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"id": 1053715212487897200,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:48:03",
"content": "chance of getting a boy.",
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"id": 1053715304074711000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:48:25",
"content": "someone helped me with the solution tho",
"attachments": [],
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},
{
"id": 1053715312853397600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:48:27",
"content": "you already said that, it wouldn't help me",
"attachments": [],
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},
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"id": 1053715346432983000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:48:35",
"content": "```\n1) P{DD} + P{CC} = 0.64\n2) P{CC} + P{CD} = 0.51\n3) P{CC} + P{DC} = 0.51\n4) P{CC} + P{DD} + P{CD} + P{DC} = 1\nP{CC} = 0.33\nP{CD} = 0.18\nP{DC} = 0.18\nP{DD} = 0.31\n\nP{C|C} = P{CC} / P{C}\nP{C|C} = 0.33 / 0.51 = 33/51 = 11/17\n```",
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},
{
"id": 1053715390229905500,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:48:46",
"content": "still, idk where 2) and 3) came from",
"attachments": [],
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},
{
"id": 1053715460916519000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:49:02",
"content": "That's literally all it said in the task",
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{
"id": 1053715486501781600,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:49:09",
"content": "The chance of getting a boy",
"attachments": [],
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},
{
"id": 1053715547805712400,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:49:23",
"content": "I can't think of anything more to describe it",
"attachments": [],
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},
{
"id": 1053716315917000700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:52:26",
"content": "okay i can see that",
"attachments": [],
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},
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"id": 1053716316663582800,
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"author_name": "cesarz",
"timestamp": "12/17/2022 11:52:26",
"content": "```\nIt is known that 64% of twins are same-sex twins. Probability birth rates for twins of different sexes are the same for any order of birth. Find the probability that the second twin is a boy, given that the first is a boy, assuming the probability of giving birth to a boy is 51%\n```",
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},
{
"id": 1053716397571711000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:52:46",
"content": "I threw it into a translator, probably understandable enough",
"attachments": [],
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},
{
"id": 1053716484502855700,
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"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:53:07",
"content": "right, 0.51% that your second child is a boy",
"attachments": [],
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},
{
"id": 1053716540794605700,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:53:20",
"content": "51%* / 0.51",
"attachments": [],
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},
{
"id": 1053716961156145200,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:55:00",
"content": "yeah",
"attachments": [],
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},
{
"id": 1053717050561941600,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:55:21",
"content": "if the chances for boy/girl was 50%",
"attachments": [],
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},
{
"id": 1053717166333104100,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:55:49",
"content": "getting a same-sex twin would be 64%",
"attachments": [],
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},
{
"id": 1053717272788738000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:56:14",
"content": "but it's 51% to get a boy (and 49% to get a girl)",
"attachments": [],
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},
{
"id": 1053717505560039400,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:57:10",
"content": "so getting boy+boy is slightly higher that 64%",
"attachments": [],
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},
{
"id": 1053717561482678300,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:57:23",
"content": "and getting girl+girl is slightly lower than 64%",
"attachments": [],
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},
{
"id": 1053717579857924200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:57:28",
"content": "what",
"attachments": [],
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},
{
"id": 1053717732870324400,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:58:04",
"content": "what what",
"attachments": [],
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},
{
"id": 1053717814365655000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:58:24",
"content": "just thinking aloud",
"attachments": [],
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},
{
"id": 1053717853406253000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:58:33",
"content": "to simplify",
"attachments": [],
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},
{
"id": 1053717886230872000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:58:41",
"content": "if there was 50/50 chance",
"attachments": [],
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},
{
"id": 1053717944527491200,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:58:55",
"content": "and 99% chance of getting same-sex",
"attachments": [],
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},
{
"id": 1053717980388806800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:59:03",
"content": "",
"attachments": [
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"id": 1053717980808220800,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 11:59:03",
"content": "the second child will no longer be 50/50",
"attachments": [],
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},
{
"id": 1053717997392507000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 11:59:07",
"content": "it's just this",
"attachments": [],
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},
{
"id": 1053718340952150100,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:00:29",
"content": "hmm",
"attachments": [],
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},
{
"id": 1053718380739313700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:00:39",
"content": "X+Y is BB + GB which is 51% becuse that's how you get a boy as your second baby",
"attachments": [],
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},
{
"id": 1053718536314437800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:01:16",
"content": "actually i'm thinking of it as sequential\nokay that's fine that's how they want it",
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},
{
"id": 1053718672587370500,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:01:48",
"content": "P{BB} + P{GB} = P{BB} + P{BG} = 0.51",
"attachments": [],
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},
{
"id": 1053718827583672300,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:02:25",
"content": "boy second = boy first = 0.51",
"attachments": [],
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},
{
"id": 1053719035608567800,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:03:15",
"content": "But I'm confused how it works",
"attachments": [],
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},
{
"id": 1053719220589973500,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:03:59",
"content": "because later on it's\n`P{B} = P{BB} + P{GB} = P{BB} + P{BG} = 0.51`",
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},
{
"id": 1053719436328186000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:04:50",
"content": "`P{B} = 0.51` *understandable* (like it's written in the task - probability of getting a boy)",
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},
{
"id": 1053719504464642200,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:05:07",
"content": "`P{BB} + P{GB} = P{BB} + P{BG} = 0.51` *not as much understandable*",
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},
{
"id": 1053719930584969200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:06:48",
"content": "yeah i agree",
"attachments": [],
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},
{
"id": 1053720279249064100,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:08:11",
"content": "`P{B}` is basically the probability of getting a boy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053720339747721300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:08:26",
"content": "no",
"attachments": [],
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},
{
"id": 1053720418567069700,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:08:44",
"content": "`P{BB} + P{BG}` is the probability if getting a boy as the first child ??",
"attachments": [],
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},
{
"id": 1053720420576137200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:08:45",
"content": "it's clearly not basically the probability of getting a boy",
"attachments": [],
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},
{
"id": 1053720514113310800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:09:07",
"content": "yeah",
"attachments": [],
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},
{
"id": 1053720533172232200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:09:12",
"content": "and also the second",
"attachments": [],
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"reference": null
},
{
"id": 1053720571336200200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:09:21",
"content": "it's just set up like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053720585030602800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:09:24",
"content": "magically",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053720630438133900,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:09:35",
"content": "`P{BB} + P{GB}` is the probability if getting a boy as the second child",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053720674323157000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:09:45",
"content": "good heavens",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053720784847257600,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:10:12",
"content": "I hate university math and the fact that something that looks so simple takes up so much of my time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053720944239190100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:10:50",
"content": "like when you get a boy, your chance of getting a boy increases",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721009301237900,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:11:05",
"content": "yeah, I get that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721049797234700,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:11:15",
"content": "but the math behind that confuses me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721079337730200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/17/2022 12:11:22",
"content": "and it also magically looks like that if you look at the second child first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721235814617300,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:11:59",
"content": "Math sure if full of magic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721394493526100,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:12:37",
"content": "Well, I *kinda* get the idea now even tho it's still not 100% clear to me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721432149999700,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:12:46",
"content": "gotta move to other tasks now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721445110403100,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:12:49",
"content": "thx for help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721452890837000,
"author_id": 325929190342000640,
"author_name": "cesarz",
"timestamp": "12/17/2022 12:12:51",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053721455969448000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 12:12:52",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b1e2093b7eac44ed9a8393e2643df4f0
|
200,188 |
[
{
"id": 1034663431774670800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 23:03:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034663458874069000,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:03:11",
"content": "howdy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034663460614701000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/25/2022 23:03:12",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1034663458874069000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1034663468567113700,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:03:14",
"content": "",
"attachments": [
{
"id": 1034663468235759600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034663468235759656/unknown.png",
"fileName": "unknown.png",
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}
],
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},
{
"id": 1034663500095684600,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:03:21",
"content": "could anyone help with question 1",
"attachments": [],
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"reference": null
},
{
"id": 1034663696162631700,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:04:08",
"content": "so 5 equation questions?",
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},
{
"id": 1034663711761256400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:04:12",
"content": "Do u know ur kinematics equations?",
"attachments": [],
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},
{
"id": 1034663734217547900,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:04:17",
"content": "yeah I do",
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},
{
"id": 1034663768426295400,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:04:25",
"content": "how would I apply them here is my problem",
"attachments": [],
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},
{
"id": 1034663787501990000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:04:30",
"content": "So first, state ur givens",
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},
{
"id": 1034663822344081500,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:04:38",
"content": "need to make a x,y table for your data",
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},
{
"id": 1034663866082263200,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:04:48",
"content": "Cause its 2d motion",
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},
{
"id": 1034663996613214300,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:05:19",
"content": "Yeah state your givens for vertical and horizontal motion",
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},
{
"id": 1034664068600037500,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:05:37",
"content": "you'll get 3 variables for x or y",
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},
{
"id": 1034664099252023300,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:05:44",
"content": "I know v1 and acceleration",
"attachments": [],
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},
{
"id": 1034664111293861900,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:05:47",
"content": "find a variable that constant for x and y",
"attachments": [],
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},
{
"id": 1034664180827029500,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:06:03",
"content": "then solve for whatever it asks for",
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},
{
"id": 1034664200078885000,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:06:08",
"content": "usually how those questions go",
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},
{
"id": 1034664325585064100,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:06:38",
"content": "could you show me what you mean using this question",
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},
{
"id": 1034664523187101700,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:07:25",
"content": "t is the same for x and y",
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},
{
"id": 1034664535891640300,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:07:28",
"content": "wait could i just add the vectors",
"attachments": [],
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},
{
"id": 1034664583568302100,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:07:39",
"content": "you have a for y",
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},
{
"id": 1034664608281141200,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:07:45",
"content": "and vi is 0 for y",
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},
{
"id": 1034664642766721000,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:07:53",
"content": "solve for d",
"attachments": [],
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"reference": null
},
{
"id": 1034664650018656300,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:07:55",
"content": "oh wait",
"attachments": [],
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},
{
"id": 1034664686727205000,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:08:04",
"content": "Don't even need to involve the x component",
"attachments": [],
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"reference": null
},
{
"id": 1034664708080414800,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:08:09",
"content": "Mb I'm complicating it",
"attachments": [],
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"reference": null
},
{
"id": 1034664746923872300,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:08:18",
"content": "so we have a t and vi",
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},
{
"id": 1034664819644706800,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:08:36",
"content": "what is Vi",
"attachments": [],
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"reference": null
},
{
"id": 1034664849369735200,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:08:43",
"content": "Initial velocity",
"attachments": [],
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},
{
"id": 1034664862468538400,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:08:46",
"content": "ok",
"attachments": [],
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},
{
"id": 1034664929900372000,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:09:02",
"content": "we can use the equation d=vit+1/2at^2",
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},
{
"id": 1034664985747529700,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:09:15",
"content": "Vi is 0 so its just d=1/2at^2",
"attachments": [],
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},
{
"id": 1034665039099068500,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:09:28",
"content": "Plug everything into a calculator to find d",
"attachments": [],
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"reference": null
},
{
"id": 1034665063111458800,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:09:34",
"content": "wait so what's the initial velocity",
"attachments": [],
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},
{
"id": 1034665082094899200,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:09:38",
"content": "0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034665347195879400,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:10:41",
"content": "Wait its not tangential I'm too caught up in circular motion",
"attachments": [],
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"reference": null
},
{
"id": 1034665418050261100,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:10:58",
"content": "no its just perfectly horizontal so theres only an x component",
"attachments": [],
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"reference": null
},
{
"id": 1034665450056994800,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:11:06",
"content": "i-hat if you will",
"attachments": [],
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"reference": null
},
{
"id": 1034665524380049400,
"author_id": 476498027243241540,
"author_name": "Arctic",
"timestamp": "10/25/2022 23:11:24",
"content": "means y component has to be 0",
"attachments": [],
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},
{
"id": 1034665637538172900,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:11:51",
"content": "alright",
"attachments": [],
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},
{
"id": 1034665664880840800,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:11:57",
"content": "so where do I go from there",
"attachments": [],
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},
{
"id": 1034666061255168000,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:13:32",
"content": "is the equation you wrote above",
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},
{
"id": 1034666246467227600,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:14:16",
"content": "initial velocity x time/ 2 x acelleration x (time^2)",
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},
{
"id": 1034667115988389900,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:17:43",
"content": "i got d= 1/1121",
"attachments": [],
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},
{
"id": 1034667137442259100,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:17:48",
"content": "which is wack",
"attachments": [],
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},
{
"id": 1034667805255155700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:20:27",
"content": "Canadian do u still need help",
"attachments": [],
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"reference": null
},
{
"id": 1034667881075593300,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:20:46",
"content": "yeah didn't figure it out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034667987229221000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:21:11",
"content": "Aight gimme a few mins, helping out some1 else rq",
"attachments": [],
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"reference": null
},
{
"id": 1034668004815929500,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:21:15",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034669498743136300,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:27:11",
"content": "aight so lemme write down our givens then ill send a ss",
"attachments": [],
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},
{
"id": 1034669570910322700,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:27:28",
"content": "alright",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034670440246939600,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:30:56",
"content": "",
"attachments": [
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},
{
"id": 1034670485767716900,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:31:07",
"content": "ok so thats how its gonna look",
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},
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"timestamp": "10/25/2022 23:31:13",
"content": "yep",
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"content": "and those are our givens, do u agree?",
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"content": "yeah",
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"content": "ok now, does any particular kinematics equation stand out to you?",
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"content": "what is Y",
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"content": "do you just mean the Y axis",
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"timestamp": "10/25/2022 23:32:35",
"content": "how far downwards it moves",
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"timestamp": "10/25/2022 23:33:07",
"content": "yeah that makes sense",
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"timestamp": "10/25/2022 23:33:15",
"content": "i'm just used to seeing D",
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"timestamp": "10/25/2022 23:33:20",
"content": "y is the change in height",
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"timestamp": "10/25/2022 23:33:22",
"content": "no none of them do",
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"timestamp": "10/25/2022 23:33:24",
"content": "ah ok",
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"timestamp": "10/25/2022 23:34:02",
"content": "alright, then ill give u a hint. how about this first one on the top left?",
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"timestamp": "10/25/2022 23:34:25",
"content": "try plugging in our givens into that",
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"timestamp": "10/25/2022 23:34:30",
"content": "alright",
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"timestamp": "10/25/2022 23:35:47",
"content": "279.8",
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"timestamp": "10/25/2022 23:35:49",
"content": "or 280",
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"timestamp": "10/25/2022 23:35:52",
"content": "cool thanks",
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"timestamp": "10/25/2022 23:35:56",
"content": "sure np",
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"timestamp": "10/25/2022 23:36:14",
"content": "and then for the second question",
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"timestamp": "10/25/2022 23:36:45",
"content": "so, as we did with the last question, state ur givens",
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"timestamp": "10/25/2022 23:37:01",
"content": "we've got v1, height, and gravity",
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"content": "300m/s, 1.5m up, 9.8 m/s down",
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"timestamp": "10/25/2022 23:38:30",
"content": "but now there are two variables",
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"timestamp": "10/25/2022 23:38:41",
"content": "so that equation won't work",
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"timestamp": "10/25/2022 23:38:53",
"content": "would the top right work",
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"timestamp": "10/25/2022 23:39:01",
"content": "if we assumed V2 =0",
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"timestamp": "10/25/2022 23:39:34",
"content": "dont believe so",
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"content": "you've got v1, v2, and A",
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"content": "and we need D",
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"timestamp": "10/25/2022 23:40:01",
"content": "so how come it wouldn't work",
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"timestamp": "10/25/2022 23:40:19",
"content": "v2?",
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"timestamp": "10/25/2022 23:40:28",
"content": "final velocity",
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"timestamp": "10/25/2022 23:40:39",
"content": "it would be 0 right",
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"timestamp": "10/25/2022 23:40:45",
"content": "because that's when it hit's the ground",
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"timestamp": "10/25/2022 23:40:56",
"content": "or it v2 right before it hits the ground",
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"timestamp": "10/25/2022 23:41:07",
"content": "nah, we dont want the velocity as it hits the ground, yes its right before it hits the ground",
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"timestamp": "10/25/2022 23:41:15",
"content": "alright",
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"timestamp": "10/25/2022 23:41:19",
"content": "so which equation works then",
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"timestamp": "10/25/2022 23:41:26",
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"timestamp": "10/25/2022 23:41:36",
"content": "try the top left",
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"timestamp": "10/25/2022 23:41:50",
"content": "but we don't have time or displacement",
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"timestamp": "10/25/2022 23:42:05",
"content": "not using our x component, but with our y",
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"timestamp": "10/25/2022 23:42:18",
"content": "what",
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"timestamp": "10/25/2022 23:42:41",
"content": "i forgot to write it, but whats our initial y-component of the velocity",
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"timestamp": "10/25/2022 23:42:47",
"content": "when the bullet is shot",
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"timestamp": "10/25/2022 23:42:57",
"content": "0",
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"timestamp": "10/25/2022 23:43:02",
"content": "correct",
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"timestamp": "10/25/2022 23:43:06",
"content": "can u go from there?",
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"timestamp": "10/25/2022 23:43:23",
"content": "nope",
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"timestamp": "10/25/2022 23:43:25",
"content": "I don't get it",
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"timestamp": "10/25/2022 23:43:36",
"content": "because we still don't have time or displacement",
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"timestamp": "10/25/2022 23:43:40",
"content": "right",
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"timestamp": "10/25/2022 23:43:46",
"content": "so there's still 2 variables",
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"timestamp": "10/25/2022 23:44:20",
"content": "displacement we do have, because we are working with the y-component now. this is why i tend to stray from using d. rn, our d = change in height",
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"timestamp": "10/25/2022 23:44:40",
"content": "oh ok",
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"timestamp": "10/25/2022 23:44:47",
"content": "so D is 1.5",
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"timestamp": "10/25/2022 23:44:51",
"content": "-1.5",
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"timestamp": "10/25/2022 23:45:04",
"content": "yeah",
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"timestamp": "10/25/2022 23:46:14",
"content": "so i've got -1.5= 4.9t^2 + 300t",
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"timestamp": "10/25/2022 23:46:23",
"content": "that looks like a polynomial",
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"timestamp": "10/25/2022 23:46:59",
"content": "no, remember we are working with the vertical component right now. initial y-velocity isnt 300",
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"timestamp": "10/25/2022 23:47:06",
"content": "oh",
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"timestamp": "10/25/2022 23:47:08",
"content": "it's 0",
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"timestamp": "10/25/2022 23:47:09",
"content": "ok",
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"timestamp": "10/25/2022 23:47:30",
"content": "and g = -9.8",
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"timestamp": "10/25/2022 23:47:34",
"content": "yeah",
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"timestamp": "10/25/2022 23:48:32",
"content": "so T = 0.553s",
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"timestamp": "10/25/2022 23:48:45",
"content": "yes",
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"timestamp": "10/25/2022 23:48:53",
"content": "now that u have time, how can u go from here",
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"timestamp": "10/25/2022 23:49:09",
"content": "how can u calculate range with what you have now",
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"timestamp": "10/25/2022 23:49:11",
"content": "use another equation",
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"timestamp": "10/25/2022 23:49:26",
"content": "yes, back to kinematics",
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"timestamp": "10/25/2022 23:49:41",
"content": "any equations stand out to u",
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"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:49:52",
"content": "so same equation but now using the x variables instead of the Y variables?",
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"timestamp": "10/25/2022 23:50:02",
"content": "yes exactly",
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"id": 1034675375927730200,
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"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:50:32",
"content": "so is Ax 0m/s/s",
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},
{
"id": 1034675398249824400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:50:38",
"content": "yes",
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{
"id": 1034675416260153300,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:50:42",
"content": "ok",
"attachments": [],
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},
{
"id": 1034675468030443600,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:50:54",
"content": "and i use that instead of -9.8",
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{
"id": 1034675604886392800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:51:27",
"content": "mhm",
"attachments": [],
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"id": 1034675632719798400,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:51:34",
"content": "so 1.7 x 10^2",
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"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:51:37",
"content": "or 170 meters",
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},
{
"id": 1034675666630737900,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:51:42",
"content": "ye approximately",
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},
{
"id": 1034675671303204900,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:51:43",
"content": "if you round it up from 166",
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{
"id": 1034675691725271200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:51:48",
"content": "ye",
"attachments": [],
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},
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"id": 1034675708464726000,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:51:52",
"content": "alright",
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"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:52:01",
"content": "",
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"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:52:23",
"content": "so for 3",
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},
{
"id": 1034675910760218600,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:52:40",
"content": "i think i can get it give me a minute",
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},
{
"id": 1034677052739174400,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:57:12",
"content": "t= 0.782",
"attachments": [],
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},
{
"id": 1034677112977764500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/25/2022 23:57:27",
"content": "ye",
"attachments": [],
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},
{
"id": 1034677305848639500,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:58:13",
"content": "v1 = 5.1",
"attachments": [],
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},
{
"id": 1034677318343479400,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/25/2022 23:58:16",
"content": "cool",
"attachments": [],
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},
{
"id": 1034677989167878100,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:00:56",
"content": "let give 4 a try",
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},
{
"id": 1034678176829427700,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:01:40",
"content": "let me",
"attachments": [],
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},
{
"id": 1034678985696751600,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:04:53",
"content": "height is 78",
"attachments": [],
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},
{
"id": 1034679013995724800,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:05:00",
"content": "i have to find V2 though",
"attachments": [],
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},
{
"id": 1034679818098315300,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:08:12",
"content": "yeah i'm lost on this one",
"attachments": [],
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},
{
"id": 1034681093447745700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/26/2022 00:13:16",
"content": "u still stuck?",
"attachments": [],
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},
{
"id": 1034681145947852800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/26/2022 00:13:28",
"content": "wats hard abt it? just using some other kinematics eqns",
"attachments": [],
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},
{
"id": 1034681195977511000,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:13:40",
"content": "yeah but using the right one is my problem",
"attachments": [],
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"reference": null
},
{
"id": 1034681737592193200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/26/2022 00:15:49",
"content": "this is what u should be thinking: when it says \"magnitude of the resultant velocity\", it means u have to know the final vertical and horizontal velocities. a resultant is found by using pythagoras theorem. (Vx)^2 + (Vy)^2 = (resultant velocity vector)^2",
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},
{
"id": 1034681942441996400,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:16:38",
"content": "so i should use the top right?",
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},
{
"id": 1034681995839688800,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/26/2022 00:16:51",
"content": "remember its not the velocity when it hits the ground, but right before it. lim t->4- v_y(t)",
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},
{
"id": 1034682102014300200,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/26/2022 00:17:16",
"content": "u could but theres an easier eqn",
"attachments": [],
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},
{
"id": 1034682316594880500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "10/26/2022 00:18:07",
"content": "but yea u totally could",
"attachments": [],
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"reference": null
},
{
"id": 1034682702324048000,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:19:39",
"content": "49.3 cool",
"attachments": [],
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"reference": null
},
{
"id": 1034682830321631200,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:20:10",
"content": "alright that's it for tonight",
"attachments": [],
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},
{
"id": 1034682836080406500,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:20:11",
"content": "thanks man",
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"reference": null
},
{
"id": 1034682848189349900,
"author_id": 445786697456943100,
"author_name": "Scavwithaslick",
"timestamp": "10/26/2022 00:20:14",
"content": ".close",
"attachments": [],
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},
{
"id": 1034682850756272100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:20:15",
"content": "Channel closed",
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}
] |
help-9
|
4ef1b0f4605b4d6a9cd61f685085e166
|
200,189 |
[
{
"id": 1053723869816557700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 12:22:27",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1053724563604766800,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:25:13",
"content": "they want me to solve a compound interest question without using a compound interest formula -.-",
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"reference": null
},
{
"id": 1053724565680959500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 12:25:13",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1053724682467156000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:25:41",
"content": "at the end of his 3-year borrowing period, skye owed 4635.55\nhis interest rate was 3.9%, what was the original amount of the loan",
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},
{
"id": 1053724707951739000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:25:47",
"content": ".",
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},
{
"id": 1053724741732663400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:25:55",
"content": "i am allowed to use\nI = Prt\nand",
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},
{
"id": 1053724760032428200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:26:00",
"content": "A = P + I",
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},
{
"id": 1053724805796483100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:26:10",
"content": "im not allowed to use a compound interest formula like.....",
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},
{
"id": 1053724922540720100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 12:26:38",
"content": "is this even possible to solve then",
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},
{
"id": 1053728700434227200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 12:41:39",
"content": "@Goldi Has your question been resolved?",
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"id": 1053730797355552900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/17/2022 12:49:59",
"content": "yes, just a lot more work if that's all you're allowed",
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},
{
"id": 1053730891224055900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/17/2022 12:50:21",
"content": "work backwards",
"attachments": [],
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"reference": null
},
{
"id": 1053731088406691800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/17/2022 12:51:08",
"content": "to determine the amount at the end of the second year and repeat",
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},
{
"id": 1053732476842954800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 12:56:39",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
08cc1f5da0fe452198ff39b082979721
|
200,190 |
[
{
"id": 1053732727393898500,
"author_id": 805217272087838700,
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"timestamp": "12/17/2022 12:57:39",
"content": "Available help channel!",
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},
{
"id": 1053733465767555100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:00:35",
"content": "why was this closed",
"attachments": [],
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},
{
"id": 1053733468007301200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 13:00:36",
"content": "Pinned a message.",
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"id": 1053733470528094200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:00:36",
"content": "wth",
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},
{
"id": 1053733662279090300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 13:01:22",
"content": "Because you didn't respond to the bot before it auto-closed",
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{
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"id": 1053733742063140900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:01:41",
"content": "i sat here for lik 20 minutes",
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},
{
"id": 1053733785826512900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:01:51",
"content": "watever ill start another room",
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},
{
"id": 1053733837609377800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 13:02:04",
"content": "You have this one back, so you're good",
"attachments": [],
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"reference": null
},
{
"id": 1053734032543846400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:02:50",
"content": "ah",
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},
{
"id": 1053734047488163800,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:02:54",
"content": "ok my question remains then",
"attachments": [],
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},
{
"id": 1053734108821475500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 13:03:08",
"content": "Reposted for clarity",
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"id": 1053734145630675000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:03:17",
"content": "im only allowed to use these 2 bullshit formulas",
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},
{
"id": 1053734168934219800,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:03:23",
"content": "and not compound interest formula",
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},
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"id": 1053734176815337500,
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"author_name": "chartbit",
"timestamp": "12/17/2022 13:03:25",
"content": "(btw I can't help much here, sorry 😭 )",
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},
{
"id": 1053734195542900900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "12/17/2022 13:03:29",
"content": "lucky you",
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},
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"id": 1053734251775938700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/17/2022 13:03:43",
"content": "work backwards",
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},
{
"id": 1053734388854161400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/17/2022 13:04:15",
"content": "determine the interest gained in the third year and use that to determine the amount owed at the end of the second year",
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},
{
"id": 1053734399235080300,
"author_id": 220517274845577200,
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"timestamp": "12/17/2022 13:04:18",
"content": "repeat",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053737971532177400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 13:18:29",
"content": "@Goldi Has your question been resolved?",
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"id": 1053741748100284500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 13:33:30",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d4a604eb0e224b65aae7776c3e01f3d1
|
200,191 |
[
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"timestamp": "12/17/2022 14:39:30",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "12/17/2022 14:42:52",
"content": "where are you stuck",
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"content": "i dont know how to start",
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"timestamp": "12/17/2022 14:44:46",
"content": "apart from that the line would be perpendicular to 5^x",
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"timestamp": "12/17/2022 14:45:01",
"content": "find the derivative",
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"timestamp": "12/17/2022 14:45:07",
"content": "uh",
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"id": 1053759794495901700,
"author_id": 433412754011848700,
"author_name": "stall-fest",
"timestamp": "12/17/2022 14:45:12",
"content": "5^x * ln(5)?",
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"id": 1053759834924785800,
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"author_name": "stall-fest",
"timestamp": "12/17/2022 14:45:22",
"content": "let me check",
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"id": 1053759834954154100,
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"author_name": "ramonov",
"timestamp": "12/17/2022 14:45:22",
"content": "yes",
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},
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"id": 1053759849244151800,
"author_id": 433412754011848700,
"author_name": "stall-fest",
"timestamp": "12/17/2022 14:45:25",
"content": "oh alr",
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"id": 1053759944127697000,
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"author_name": "ramonov",
"timestamp": "12/17/2022 14:45:48",
"content": "then use that to determine the slope at x=1",
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"timestamp": "12/17/2022 14:45:51",
"content": "oh ok",
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"author_name": "stall-fest",
"timestamp": "12/17/2022 14:45:56",
"content": "then i use that for slope of my line",
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"id": 1053760026331848700,
"author_id": 433412754011848700,
"author_name": "stall-fest",
"timestamp": "12/17/2022 14:46:08",
"content": "and then i plug in 5^1 to get complete the line?",
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"id": 1053760248822898800,
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"author_name": "ramonov",
"timestamp": "12/17/2022 14:47:01",
"content": "plugging in x=1 into the given equation gives you the y-coord at that location,\nyou can the use point slope form or otherwise to get your equation",
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},
{
"id": 1053760323234037800,
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"timestamp": "12/17/2022 14:47:18",
"content": "alr ty",
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},
{
"id": 1053761001922764800,
"author_id": 433412754011848700,
"author_name": "stall-fest",
"timestamp": "12/17/2022 14:50:00",
"content": "is this right?",
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"timestamp": "12/17/2022 14:50:12",
"content": "it doesnt look right lol",
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"id": 1053761270333046800,
"author_id": 433412754011848700,
"author_name": "stall-fest",
"timestamp": "12/17/2022 14:51:04",
"content": "is the slope of the tangent line also 5ln(5)",
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},
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"author_name": "stall-fest",
"timestamp": "12/17/2022 14:52:46",
"content": "cuz if it is then i get this which looks right",
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"id": 1053762471841775700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/17/2022 14:55:51",
"content": "> is the slope of the tangent line also 5ln(5)\nwdym by \"also\"",
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},
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"author_id": 220517274845577200,
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"timestamp": "12/17/2022 14:56:56",
"content": "5ln(5) doesn't really appear anywhere else",
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},
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"author_name": "ramonov",
"timestamp": "12/17/2022 14:58:12",
"content": "plugging x=1 into the derivative gives 5ln(5) which is the slope at that location",
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"timestamp": "12/17/2022 14:59:36",
"content": "oh ok",
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"timestamp": "12/17/2022 14:59:38",
"content": "i see thank you",
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"author_name": "stall-fest",
"timestamp": "12/17/2022 14:59:39",
"content": ".close",
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},
{
"id": 1053763432979112100,
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 14:59:40",
"content": "Channel closed",
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}
] |
help-9
|
bac003cc53424fbe9a753384bf7aff4c
|
200,192 |
[
{
"id": 1053767331555311600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 15:15:09",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1053768883154190300,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:21:19",
"content": "how do i do fractions",
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},
{
"id": 1053768885188436000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 15:21:20",
"content": "Pinned a message.",
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"id": 1053768888522903700,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:21:21",
"content": "like",
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},
{
"id": 1053768909083381900,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:21:26",
"content": "3/7 of 2/3",
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},
{
"id": 1053768921817305100,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:21:29",
"content": "how do i do that",
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},
{
"id": 1053768970580267300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/17/2022 15:21:40",
"content": "3/7 **of** 2/3 is the same thing as 3/7 **times** 2/3, if that's what you're asking.",
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},
{
"id": 1053769015681634300,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:21:51",
"content": "oh",
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},
{
"id": 1053769015975215200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/17/2022 15:21:51",
"content": "but \"do fractions\" is a little vague.",
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},
{
"id": 1053769126587408400,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:22:17",
"content": "so the answer is",
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},
{
"id": 1053769136662126700,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:22:20",
"content": "2/7",
"attachments": [],
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},
{
"id": 1053769151820333200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/17/2022 15:22:23",
"content": "yes",
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},
{
"id": 1053769178802290800,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:22:30",
"content": "okay tyy",
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},
{
"id": 1053769483493327000,
"author_id": 920051911216992300,
"author_name": "bigsimp69",
"timestamp": "12/17/2022 15:23:42",
"content": ".close",
"attachments": [],
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},
{
"id": 1053769486521602000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 15:23:43",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b32c2d41c8ae4febb5c9bf2808b2eac4
|
200,193 |
[
{
"id": 1053771413003182100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 15:31:22",
"content": "Available help channel!",
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},
{
"id": 1053778996652953700,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:01:31",
"content": "how do i solve this",
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"id": 1053778998813003800,
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 16:01:31",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1053779014940102700,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:01:35",
"content": "my answer does no match solution",
"attachments": [],
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},
{
"id": 1053779205755781100,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:02:20",
"content": "i get y = t^2/2 but answer is something else",
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},
{
"id": 1053779228291780700,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:02:26",
"content": "i did seprable",
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},
{
"id": 1053779540272492500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 16:03:40",
"content": "What was your working for it?",
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},
{
"id": 1053779922444890100,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:05:11",
"content": "root(y^2+1) = t^2/2 +c",
"attachments": [],
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},
{
"id": 1053779931307458600,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:05:13",
"content": "c = 1",
"attachments": [],
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},
{
"id": 1053779959207968900,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:05:20",
"content": "then solved for y",
"attachments": [],
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},
{
"id": 1053779987842474100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "12/17/2022 16:05:27",
"content": "$y\\frac{dy}{dx}=t\\sqrt{1+y^2} \\\\$\n$\\frac{y}{\\sqrt{y^2+1}}dy=tdt$",
"attachments": [],
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"reference": null
},
{
"id": 1053779997325795300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 16:05:29",
"content": "**\\~Martin**",
"attachments": [
{
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"fileName": "244806629839732746.png",
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}
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},
{
"id": 1053780025566036100,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:05:36",
"content": "yes",
"attachments": [],
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},
{
"id": 1053780029584195600,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "12/17/2022 16:05:37",
"content": "you got the same thus far?",
"attachments": [],
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},
{
"id": 1053780040476807300,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:05:39",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1053780068024979600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 16:05:46",
"content": "How did you solve for y?",
"attachments": [],
"mentions": [
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},
{
"id": 1053780136232767500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/17/2022 16:06:02",
"content": "where's your c?",
"attachments": [],
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}
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},
{
"id": 1053780142478086100,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:06:04",
"content": "y^2 + 1 = (t^2/2+1)^2",
"attachments": [],
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"reference": null
},
{
"id": 1053780144294219900,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 16:06:04",
"content": "Agreed up to this point + above",
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},
{
"id": 1053780192918782100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 16:06:16",
"content": "they got 1",
"attachments": [],
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}
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},
{
"id": 1053780195921907800,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:06:16",
"content": "y^2 = t^4/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053780234589196300,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:06:26",
"content": "y = t^2/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053780238720573400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/17/2022 16:06:27",
"content": "yes but not in their answer",
"attachments": [],
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},
{
"id": 1053780464827105300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/17/2022 16:07:21",
"content": "oh nvm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053780474041995400,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 16:07:23",
"content": "Hmmmm how did you get here though from before?",
"attachments": [],
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],
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},
{
"id": 1053780536864292900,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/17/2022 16:07:38",
"content": "looks like they squared wrong",
"attachments": [],
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},
{
"id": 1053780565175840900,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:07:45",
"content": "agreed?",
"attachments": [],
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},
{
"id": 1053780608310063100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/17/2022 16:07:55",
"content": "(a+b)² != a²+b²",
"attachments": [],
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"reference": null
},
{
"id": 1053780610684039300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/17/2022 16:07:55",
"content": "Yes",
"attachments": [],
"mentions": [
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}
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},
{
"id": 1053780763369291900,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:08:32",
"content": "y^2 = t^4/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053780821380702300,
"author_id": 707681804253134800,
"author_name": "rolex",
"timestamp": "12/17/2022 16:08:46",
"content": "1 cancels out",
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"content": "It doesn't, as @SWR said",
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"timestamp": "12/17/2022 16:09:21",
"content": "OH FUCK",
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"timestamp": "12/17/2022 16:09:24",
"content": ",w expand (t^2/2 + 1)^2",
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"timestamp": "12/17/2022 16:09:27",
"content": "Results provided by WolframAlpha",
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"timestamp": "12/17/2022 16:09:32",
"content": "im sorry",
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"timestamp": "12/17/2022 16:09:34",
"content": "fuck man",
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"timestamp": "12/17/2022 16:10:32",
"content": "how can i simiplify. y^2 = (t^2/2 + 1)^2 - 1",
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"timestamp": "12/17/2022 16:10:40",
"content": "Hahah it's all good :catthumbsup:",
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"timestamp": "12/17/2022 16:11:00",
"content": "expand then simplify",
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"timestamp": "12/17/2022 16:11:46",
"content": "ok",
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"timestamp": "12/17/2022 16:11:47",
"content": "so",
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"timestamp": "12/17/2022 16:11:58",
"content": "y^2 = 1/4t^4+t^2",
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"timestamp": "12/17/2022 16:12:00",
"content": "agreed?",
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"content": "so",
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"id": 1053781867570143400,
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"timestamp": "12/17/2022 16:12:55",
"content": "y = 1/2 t^2 + t",
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"timestamp": "12/17/2022 16:13:39",
"content": "nope",
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"timestamp": "12/17/2022 16:14:21",
"content": "@rolex same problem",
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"content": "",
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"timestamp": "12/17/2022 16:15:13",
"content": "how to simplify y = root(1/4 t^4 + t^2) further",
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"timestamp": "12/17/2022 16:15:29",
"content": "Factor out t^2 inside",
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"timestamp": "12/17/2022 16:16:01",
"content": "...but with that said, part of me doesn't feel comfortable with taking the square root tbh... :hmmCat:",
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"timestamp": "12/17/2022 16:16:06",
"content": "root(t^2(t^2/4)+1)",
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"timestamp": "12/17/2022 16:16:27",
"content": "Surd rules",
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"timestamp": "12/17/2022 16:16:35",
"content": "whats the rule",
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"timestamp": "12/17/2022 16:17:03",
"content": "$\\sqrt{ab} = \\sqrt{a} \\sqrt{b}$",
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"timestamp": "12/17/2022 16:17:05",
"content": "**chartbit**",
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"timestamp": "12/17/2022 16:17:31",
"content": "t*root(t^2/4 + 1)",
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"timestamp": "12/17/2022 16:17:37",
"content": "ok now it matches the solution",
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"timestamp": "12/17/2022 16:17:54",
"content": "One more optional thing",
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"id": 1053783137265655900,
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"author_name": "rolex",
"timestamp": "12/17/2022 16:17:58",
"content": "?",
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"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/17/2022 16:18:06",
"content": "I would do (t/2)² instead of t²/4",
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"author_name": "rolex",
"timestamp": "12/17/2022 16:18:07",
"content": "thank u guys so much ❤️",
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"id": 1053783220057014300,
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"timestamp": "12/17/2022 16:18:18",
"content": "That puts in a more standard form imo",
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"timestamp": "12/17/2022 16:18:19",
"content": "easier for later simplification?",
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"content": "ohok",
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"timestamp": "12/17/2022 16:18:29",
"content": "thanks guys",
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"id": 1053783297240596600,
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"timestamp": "12/17/2022 16:18:36",
"content": ".close",
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{
"id": 1053783300067561600,
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"timestamp": "12/17/2022 16:18:37",
"content": "Channel closed",
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}
] |
help-9
|
6000c9857e02471ba5f5ff1761dc50fc
|
200,194 |
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"id": 1053783552392695900,
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 16:19:37",
"content": "Available help channel!",
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"id": 1053783835092975700,
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"timestamp": "12/17/2022 16:20:44",
"content": "How would I do this?",
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"timestamp": "12/17/2022 16:20:45",
"content": "Pinned a message.",
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"id": 1053783988608712700,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:21:21",
"content": "You can construct 2 equations using the given info",
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"timestamp": "12/17/2022 16:21:27",
"content": "Then solve the system for a and b",
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"timestamp": "12/17/2022 16:22:12",
"content": "y = 12x^2 + a + b?",
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"content": "?",
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"timestamp": "12/17/2022 16:22:36",
"content": "Would I differentiate first or no",
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"id": 1053784332965265400,
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"timestamp": "12/17/2022 16:22:43",
"content": "You can if you want",
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"timestamp": "12/17/2022 16:22:59",
"content": "That’s what I did with this",
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"id": 1053784425437069400,
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"timestamp": "12/17/2022 16:23:05",
"content": "But the derivative of b with respect to x is not b",
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"timestamp": "12/17/2022 16:23:23",
"content": "Huh",
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"timestamp": "12/17/2022 16:23:42",
"content": "So what would I put instead of the + b then?",
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"id": 1053784624301617300,
"author_id": 165914200332304400,
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"timestamp": "12/17/2022 16:23:52",
"content": "What is the derivative of a constant?",
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"id": 1053784721664000100,
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"timestamp": "12/17/2022 16:24:16",
"content": "Ohhh",
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"content": "0",
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"timestamp": "12/17/2022 16:24:26",
"content": "I forgot about that",
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"timestamp": "12/17/2022 16:24:40",
"content": "So it’s just y = 12x^2 + a then",
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"timestamp": "12/17/2022 16:24:44",
"content": "Yes",
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"timestamp": "12/17/2022 16:24:55",
"content": "What’s the next step ?",
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"timestamp": "12/17/2022 16:25:05",
"content": "Well not y, y' would be more appropriate",
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"timestamp": "12/17/2022 16:25:32",
"content": "You're given info about y' at a specific point. Plug in the relevant values and solve for a",
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"timestamp": "12/17/2022 16:30:34",
"content": "Would I use Q(-1,1)",
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"timestamp": "12/17/2022 16:31:50",
"content": "You would",
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"author_name": "waterr beam",
"timestamp": "12/17/2022 16:34:36",
"content": "y’(10) \n\n10 = 12x^2 - 1 + 1",
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"id": 1053787334618927100,
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"timestamp": "12/17/2022 16:34:38",
"content": "hm",
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{
"id": 1053787345738018800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 16:34:41",
"content": "This looks wrong",
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{
"id": 1053787479402086400,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:35:13",
"content": "Because it is",
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"id": 1053787617298239600,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 16:35:46",
"content": "Am I not even close to the answer",
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"timestamp": "12/17/2022 16:35:46",
"content": "",
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"id": 1053787636239696000,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:35:50",
"content": "y'(10) means evaluating y' when its input is 10",
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"timestamp": "12/17/2022 16:36:26",
"content": "I only put in y = 10 because of the gradient of the graph being 10",
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"timestamp": "12/17/2022 16:36:36",
"content": "Not y",
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"timestamp": "12/17/2022 16:37:10",
"content": "I’m not sure where to plug in the values in this equation",
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"id": 1053788021650100400,
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"timestamp": "12/17/2022 16:37:22",
"content": "y' is 10 at the point Q",
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"author_name": "Steakanator",
"timestamp": "12/17/2022 16:37:39",
"content": "Given that y' depends only on x, what information from Q is relevant?",
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"timestamp": "12/17/2022 16:37:59",
"content": "(-1,1)",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:38:24",
"content": "Which part of that is relevant?",
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"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 16:39:06",
"content": "The x and y intercepts?",
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"timestamp": "12/17/2022 16:40:09",
"content": "No",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:40:18",
"content": "What is (-1,1)?",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:40:20",
"content": "Do not say Q",
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"author_name": "waterr beam",
"timestamp": "12/17/2022 16:41:25",
"content": "The point where the graph crosses",
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"timestamp": "12/17/2022 16:41:59",
"content": "Or",
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"timestamp": "12/17/2022 16:42:01",
"content": "I mean",
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"timestamp": "12/17/2022 16:42:05",
"content": "Where the curve crosses",
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"author_name": "Steakanator",
"timestamp": "12/17/2022 16:44:27",
"content": "It's the point where x=-1 and y=1",
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"author_name": "Steakanator",
"timestamp": "12/17/2022 16:45:02",
"content": "So you have an equation that describes y' at a point x, the value of x, and the value of y'",
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"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 16:46:08",
"content": "We still input those values into this equation?",
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"timestamp": "12/17/2022 16:47:07",
"content": "Yes",
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"author_name": "waterr beam",
"timestamp": "12/17/2022 16:47:54",
"content": "12(-1)^2 + a",
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},
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"author_id": 998995403041161300,
"author_name": "Temperman345",
"timestamp": "12/17/2022 16:48:00",
"content": "Why do they call it a gradient for a simple 1D function?",
"attachments": [],
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"id": 1053790703479693300,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:48:02",
"content": "Equals?",
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"author_id": 998995403041161300,
"author_name": "Temperman345",
"timestamp": "12/17/2022 16:48:06",
"content": "Is this something for multivar calculus?",
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"author_name": "waterr beam",
"timestamp": "12/17/2022 16:48:43",
"content": "I’m not sure this is just intro calculus",
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"author_name": "Temperman345",
"timestamp": "12/17/2022 16:48:55",
"content": "I see",
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"author_name": "Temperman345",
"timestamp": "12/17/2022 16:49:26",
"content": "The basic strategy for how you solve this is to take the derivative of the function and plug in the \"gradient\" (derivative) value they gave you to solve for a and b",
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"author_name": "waterr beam",
"timestamp": "12/17/2022 16:49:27",
"content": "y = 12(-1)^2 + a \n\ny = 12 + a?",
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"timestamp": "12/17/2022 16:53:58",
"content": "I assume I would plug in 1 for a",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:54:31",
"content": "Stop using y",
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"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 16:59:16",
"content": "Oh we don’t use it?",
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"id": 1053793675043409900,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 16:59:50",
"content": "You took the derivative of y",
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"id": 1053793771898290300,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:00:13",
"content": "I've said multiple times to not use y when referencing the derivative of y",
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"id": 1053794040526688400,
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"timestamp": "12/17/2022 17:01:17",
"content": "So 12 + 1",
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"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:01:38",
"content": "Where is 1 coming from?",
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"id": 1053794190116540400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 17:01:53",
"content": "The other value from (-1, 1)",
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"id": 1053794238107746400,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:02:04",
"content": "The \"other value\" is the value of y",
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{
"id": 1053794252712321000,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:02:08",
"content": "Not the value of a",
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},
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"id": 1053794266528354300,
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"author_name": "waterr beam",
"timestamp": "12/17/2022 17:02:11",
"content": "Okay",
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{
"id": 1053794349978230800,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 17:02:31",
"content": "But how do we move forward from 12 + a",
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{
"id": 1053794394244927500,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:02:42",
"content": "What does 12 + a equal?",
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"id": 1053794422682292400,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 17:02:48",
"content": "10?",
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"id": 1053794443435704300,
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"author_name": "Steakanator",
"timestamp": "12/17/2022 17:02:53",
"content": "Yes",
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"author_name": "waterr beam",
"timestamp": "12/17/2022 17:02:59",
"content": "Oh so -2",
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"id": 1053794529452511400,
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"author_name": "Steakanator",
"timestamp": "12/17/2022 17:03:14",
"content": "Yes",
"attachments": [],
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},
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"id": 1053794723883647000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 17:04:00",
"content": "And we don’t need to find b right because it’s just 0",
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"id": 1053794858705375200,
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"timestamp": "12/17/2022 17:04:32",
"content": "b is certainly not 0",
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"id": 1053794888518475900,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:04:39",
"content": "You have an equation for y",
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"id": 1053794900371591200,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:04:42",
"content": "Use that to find b",
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"id": 1053794984932942000,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 17:05:02",
"content": "so we use y now??",
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"id": 1053795186926436400,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:05:51",
"content": "Yes?",
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"id": 1053795260066709600,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:06:08",
"content": "You have two unknowns (a and b), you need to use two pieces of information to find them both",
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"id": 1053795304601833600,
"author_id": 165914200332304400,
"author_name": "Steakanator",
"timestamp": "12/17/2022 17:06:19",
"content": "You used one to find a, now you need to find b",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 17:20:03",
"content": "@waterr beam Has your question been resolved?",
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"timestamp": "12/17/2022 17:35:03",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
8cf86b1c1cb24bdb8eeb91d0dde946d7
|
200,195 |
[
{
"id": 1053802789337309200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 17:36:03",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1053803576591397000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "12/17/2022 17:39:11",
"content": "does 2^x + 2 = 3^x have a solution(s)?",
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},
{
"id": 1053803578881474600,
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"timestamp": "12/17/2022 17:39:11",
"content": "Pinned a message.",
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"id": 1053803795949293700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/17/2022 17:40:03",
"content": ",w solve 3^x - 2^x -2 =0",
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},
{
"id": 1053803805873020900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 17:40:06",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1053803982075744300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "12/17/2022 17:40:48",
"content": "over the reals?",
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"timestamp": "12/17/2022 17:43:22",
"content": ".close",
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{
"id": 1053804633207886000,
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"timestamp": "12/17/2022 17:43:23",
"content": "Channel closed",
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}
] |
help-9
|
7cee3bb165a747b9afd0fbde20e89240
|
200,196 |
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{
"id": 1053806102782935000,
"author_id": 805217272087838700,
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"timestamp": "12/17/2022 17:49:13",
"content": "Available help channel!",
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},
{
"id": 1053806635014967300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:51:20",
"content": "(1, 3) is a point on a curve with which equation?",
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"content": "Pinned a message.",
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:53:00",
"content": "pls help",
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},
{
"id": 1053807471489208400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 17:54:39",
"content": "you can make any equation go through that point",
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},
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"id": 1053807474706219300,
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"timestamp": "12/17/2022 17:54:40",
"content": "Any more information?",
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"timestamp": "12/17/2022 17:54:47",
"content": "no",
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"id": 1053807551734620200,
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"author_name": "riemann",
"timestamp": "12/17/2022 17:54:59",
"content": "Can you screenshot the problem",
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"id": 1053807559515066400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:00",
"content": "ik",
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"id": 1053807574023164000,
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:04",
"content": "its on a textbook",
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},
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"id": 1053807591714734100,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:08",
"content": "ill write EXACTLY what it says",
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},
{
"id": 1053807640498679900,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:20",
"content": "\"(1, 3) is a point on a curve with which equation?\"",
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},
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"id": 1053807673881145300,
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"timestamp": "12/17/2022 17:55:28",
"content": "What book",
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},
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"id": 1053807676322218000,
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"author_name": "heavy",
"timestamp": "12/17/2022 17:55:28",
"content": "oof",
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"id": 1053807702578565100,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:35",
"content": "Year 9 Camrbidge Maths",
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"id": 1053807712430993400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:37",
"content": "Cambridge*",
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},
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"id": 1053807763576324200,
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"author_name": "heavy",
"timestamp": "12/17/2022 17:55:49",
"content": "could you send a picture of the question",
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"id": 1053807792982597600,
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:55:56",
"content": "Essential maths for the Australian Curriculum*",
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"timestamp": "12/17/2022 17:55:57",
"content": "ok",
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"timestamp": "12/17/2022 17:55:58",
"content": "sure",
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"timestamp": "12/17/2022 17:57:24",
"content": "okay so it is solveable",
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"timestamp": "12/17/2022 17:57:27",
"content": "pretty sure im meant to use Y = a (X-h) + K",
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:57:44",
"content": "but im not sure since I havn't been practising lately",
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"timestamp": "12/17/2022 17:57:45",
"content": "none of these functions are linear",
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:57:51",
"content": "yea",
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"timestamp": "12/17/2022 17:57:53",
"content": "parabola",
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"timestamp": "12/17/2022 17:57:53",
"content": "you can just enter the point",
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:58:01",
"content": "Where does 1 go",
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"timestamp": "12/17/2022 17:58:04",
"content": "suppose x = 1 then x^2 = 1",
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:58:04",
"content": "and where does 3 go",
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"timestamp": "12/17/2022 17:58:09",
"content": "hence A is wrong",
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"author_name": "heavy",
"timestamp": "12/17/2022 17:58:31",
"content": "suppose x = 1 then (1-3)^2 = (-2)^2 = 4 so thats wrong",
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"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:58:32",
"content": "Assuming y = 3",
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"author_name": "C.J.",
"timestamp": "12/17/2022 17:58:35",
"content": "and x =1",
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"author_name": "heavy",
"timestamp": "12/17/2022 17:58:51",
"content": "suppose x = 1 then x^2 + 2 = 1 + 2 = 3",
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"timestamp": "12/17/2022 17:58:54",
"content": "there you go",
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"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:59:08",
"content": "huh!",
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"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:59:12",
"content": "What equaiton did u use",
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"timestamp": "12/17/2022 17:59:13",
"content": "equation",
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"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:59:23",
"content": "oh",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 17:59:24",
"content": "i tried A, B and D",
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"id": 1053808675191521400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:59:26",
"content": "I SEE!",
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"id": 1053808701112324200,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 17:59:33",
"content": "D",
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},
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"id": 1053808702844584100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 17:59:33",
"content": "good",
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},
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"id": 1053808712940269700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 17:59:35",
"content": "yes",
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"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:00:11",
"content": "ok thanks",
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"id": 1053808872533528600,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:00:14",
"content": ".close",
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},
{
"id": 1053808875226284200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:00:14",
"content": "Channel closed",
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}
] |
help-9
|
2c4c53d0ff0848e589774c3215e60b85
|
200,197 |
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"id": 1053809165698605000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:01:23",
"content": "Available help channel!",
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"id": 1053810158054162400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:05:20",
"content": "Using the equation H = 6t - t^2 solve the following (This is the equation for a rocket launching): \n\nThe rocket reaches its maximum height after how many seconds?",
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"timestamp": "12/17/2022 18:05:21",
"content": "Pinned a message.",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:06:02",
"content": "H meaning the height for the rocket",
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{
"id": 1053810346466476000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:06:05",
"content": "as a function of time",
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"id": 1053810349943562400,
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"author_name": "C.J.",
"timestamp": "12/17/2022 18:06:06",
"content": "yes",
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"id": 1053810368729850000,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:06:10",
"content": "t = time",
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"id": 1053810374648021100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:06:12",
"content": "alright",
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"id": 1053810416486195300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:06:22",
"content": "do you know how to find the maximum of a function?",
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"id": 1053810431925432300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:06:25",
"content": "no",
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"id": 1053810446584512500,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:06:29",
"content": "I used to but i forgot",
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"id": 1053810552897536100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:06:54",
"content": "alright so the derivative is 0 at the maximum of the function",
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"id": 1053810588054204400,
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"timestamp": "12/17/2022 18:07:03",
"content": ",w graph 6t - t^2",
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{
"id": 1053810597608816800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 18:07:05",
"content": "Results provided by WolframAlpha",
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"id": 1053810617938608300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:10",
"content": "oh",
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{
"id": 1053810626868297700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:12",
"content": "I think ik",
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"id": 1053810669318832300,
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"timestamp": "12/17/2022 18:07:22",
"content": "good",
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{
"id": 1053810669901856900,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:22",
"content": "We can use the 2 x intercepts",
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"id": 1053810688197406700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:26",
"content": "addd them",
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},
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"id": 1053810700440588300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:29",
"content": "and /2",
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"id": 1053810736478040200,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:38",
"content": "to get the axis of symetry",
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"id": 1053810750814179300,
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"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:41",
"content": "x coordinate",
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"id": 1053810760549150800,
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"timestamp": "12/17/2022 18:07:44",
"content": "yeah that works",
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"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:44",
"content": "then",
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"id": 1053810777708044400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:48",
"content": "we plug that into the equation",
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"id": 1053810790462918700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:51",
"content": "I think",
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{
"id": 1053810801674293200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:07:53",
"content": "yes",
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"id": 1053810814454349800,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:07:57",
"content": "les gooooo",
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"id": 1053810856170885100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:08:06",
"content": "did you learn about derivatives yet?",
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{
"id": 1053810858767159400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:07",
"content": "3",
"attachments": [],
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},
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"id": 1053810868103688300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:09",
"content": "no",
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{
"id": 1053810883932983300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:13",
"content": "I am doing year 9 maths atm (Today I will transition to year 10)",
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"id": 1053810904128573400,
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"timestamp": "12/17/2022 18:08:18",
"content": "alright thats okay",
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"timestamp": "12/17/2022 18:08:22",
"content": "your method works too",
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"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:32",
"content": "yes",
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"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:36",
"content": "wait so how do i plug it in",
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"id": 1053811004083015700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:42",
"content": "since there only time",
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"id": 1053811013134340200,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:44",
"content": "in the equation",
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"id": 1053811024148582500,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:08:47",
"content": "and height",
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"timestamp": "12/17/2022 18:09:05",
"content": "just let y = H and x = t",
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"timestamp": "12/17/2022 18:09:11",
"content": "kk",
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"author_name": "C.J.",
"timestamp": "12/17/2022 18:09:14",
"content": "makes sense",
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"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:09:25",
"content": "h = 18 - 9",
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"timestamp": "12/17/2022 18:09:27",
"content": "h = 9",
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"timestamp": "12/17/2022 18:09:40",
"content": "you can plot t against H just like you can plot x against y",
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"timestamp": "12/17/2022 18:09:50",
"content": "i see",
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"timestamp": "12/17/2022 18:09:54",
"content": "okay thanks again",
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"timestamp": "12/17/2022 18:09:55",
"content": "H would be your y axis",
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"timestamp": "12/17/2022 18:10:08",
"content": "👍",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/17/2022 18:10:08",
"content": "but yes that is correct",
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"reference": null
},
{
"id": 1053811397735227400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:10:16",
"content": "ok cya",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053811401665302700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:10:17",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053811404202848300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:10:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
fe95bd0610904ff9bd4ba5b61ec8caf8
|
200,198 |
[
{
"id": 1053812687127204000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:15:23",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053814737344942100,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:23:32",
"content": "2x^2 - 8x - 8 = 0",
"attachments": [],
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"reference": null
},
{
"id": 1053814739152670700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:23:32",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
"guildId": null
}
},
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"id": 1053814748367556700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:23:34",
"content": "How to solve this?",
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"reference": null
},
{
"id": 1053814772392534000,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:23:40",
"content": "I tried solving by doing this:",
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},
{
"id": 1053815271363715100,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:25:39",
"content": "actually i couldnt",
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"reference": null
},
{
"id": 1053815279660056600,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:25:41",
"content": "do anythibng",
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"mentions": [],
"reference": null
},
{
"id": 1053815399466152100,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:26:10",
"content": "help pls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053815481431244800,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:26:29",
"content": "(I cant use the formula I have to use factorisation and the null factor law)",
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"reference": null
},
{
"id": 1053815647672488000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/17/2022 18:27:09",
"content": "by \"the formula\" you mean quadratic formula?",
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"reference": null
},
{
"id": 1053815660272156700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:27:12",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053815672406294500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/17/2022 18:27:15",
"content": "this seems like a pain without it",
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"mentions": [],
"reference": null
},
{
"id": 1053815697647599600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/17/2022 18:27:21",
"content": "the roots are not even rational",
"attachments": [],
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"reference": null
},
{
"id": 1053815766358696000,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:27:37",
"content": "lol i just noticed that the question isnt asking for that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053815773241557000,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:27:39",
"content": "mb",
"attachments": [],
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"reference": null
},
{
"id": 1053815780216688600,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "12/17/2022 18:27:40",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053815783203012600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:27:41",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
80f603aed7df4edfb19c3d287dc13061
|
200,199 |
[
{
"id": 1034683102984937600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:21:15",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1034684086180139000,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:25:09",
"content": "what's the issue here? this one's pretty fucked",
"attachments": [
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"id": 1034684089212600300,
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"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:25:10",
"content": "Pinned a message.",
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{
"id": 1034684155641991300,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:25:26",
"content": "first thing is the original problem",
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"mentions": [],
"reference": null
},
{
"id": 1034685082545434600,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:29:07",
"content": "uhhh",
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"reference": null
},
{
"id": 1034685141727060000,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:29:21",
"content": "the problem seeems to be somewhere in the integral with respect to u",
"attachments": [],
"mentions": [],
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},
{
"id": 1034685267799462000,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:29:51",
"content": "OHHHHHHH",
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"reference": null
},
{
"id": 1034685320584757200,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:30:03",
"content": "never fucking mind then",
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"reference": null
},
{
"id": 1034685324850368500,
"author_id": 752689126448300000,
"author_name": "vetbaitednv",
"timestamp": "10/26/2022 00:30:04",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034685327585054700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:30:05",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8c5663ca323446a6b1e2b7ab9c50213e
|
200,200 |
[
{
"id": 1053817269018435700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:33:35",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1053817427223380100,
"author_id": 878779447984136200,
"author_name": "lexx",
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"timestamp": "12/17/2022 18:34:14",
"content": "Pinned a message.",
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"id": 1053817693700116500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/17/2022 18:35:17",
"content": "I closed your other channel",
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"id": 1053818724114763900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 18:39:22",
"content": "Oh",
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},
{
"id": 1053818767311908900,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:39:33",
"content": "do you need the whole explanation or just the answer?",
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"author_name": "lexx",
"timestamp": "12/17/2022 18:39:51",
"content": "answer please",
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},
{
"id": 1053818884907614300,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:40:01",
"content": "i know how to do it",
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},
{
"id": 1053818890683175000,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:40:02",
"content": "ok gimme a sec almost done",
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},
{
"id": 1053818907145801700,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:40:06",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053819060346945700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 18:40:42",
"content": "Don't give them the answer dude",
"attachments": [],
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"reference": null
},
{
"id": 1053819109126717600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 18:40:54",
"content": "You're supposed to@show them how to do it",
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},
{
"id": 1053819131717243000,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:41:00",
"content": "alright",
"attachments": [],
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},
{
"id": 1053819175182815400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 18:41:10",
"content": "At least post step by step work",
"attachments": [],
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"reference": null
},
{
"id": 1053819187891535900,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:41:13",
"content": "welp mods told me not to tell you so :catshrug:",
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},
{
"id": 1053819271425294500,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:41:33",
"content": "alright that’s fine",
"attachments": [],
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},
{
"id": 1053819287158128600,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:41:37",
"content": "just explain",
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},
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"id": 1053819464971468800,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:42:19",
"content": "",
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"id": 1053819510211236000,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:42:30",
"content": "should be that",
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},
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"id": 1053819560958107600,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:42:42",
"content": "god that’s a little messy",
"attachments": [],
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"reference": null
},
{
"id": 1053819581766062100,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:42:47",
"content": "but thanks",
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},
{
"id": 1053819652935000200,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 18:43:04",
"content": "if you know where to look its not messy",
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},
{
"id": 1053819882451501000,
"author_id": 878779447984136200,
"author_name": "lexx",
"timestamp": "12/17/2022 18:43:59",
"content": ".close",
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},
{
"id": 1053819886461263900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:43:59",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1a9f9095e6694f32bb1f50774ec3ba76
|
200,201 |
[
{
"id": 1053820138903842800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 18:45:00",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1053820420769468400,
"author_id": 954826339716849800,
"author_name": "Dooki",
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"timestamp": "12/17/2022 18:46:07",
"content": "Pinned a message.",
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"id": 1053822766501089300,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "12/17/2022 18:55:26",
"content": "Hu..?",
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},
{
"id": 1053824196792299500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 19:01:07",
"content": "@Dooki Has your question been resolved?",
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"id": 1053824344419225700,
"author_id": 722683408190406700,
"author_name": "waterr beam",
"timestamp": "12/17/2022 19:01:42",
"content": "top right easy peasy",
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"id": 1053824361984958600,
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"content": "",
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},
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"id": 1053826190055583900,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:09:02",
"content": "Bruh",
"attachments": [],
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"id": 1053826248578715600,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:09:16",
"content": "lol",
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},
{
"id": 1053826395194798100,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:09:51",
"content": "@Helpers could someone please help me out",
"attachments": [],
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},
{
"id": 1053830219267592200,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 19:25:03",
"content": "bruh this legit makes no sense",
"attachments": [],
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},
{
"id": 1053831586426142800,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:30:29",
"content": "i swear",
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"id": 1053831603543085200,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:30:33",
"content": "i cant get it either",
"attachments": [],
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"reference": null
},
{
"id": 1053831635658887300,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 19:30:41",
"content": "do we have any info?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053831652536762400,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:30:45",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 1053831662410145800,
"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:30:47",
"content": "just that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053831669297184800,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 19:30:49",
"content": "like if theyre squares or sm",
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"timestamp": "12/17/2022 19:30:51",
"content": "damn",
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"author_name": "Dooki",
"timestamp": "12/17/2022 19:30:55",
"content": "i mean ill ask the teacher",
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},
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"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:30:57",
"content": "but bro",
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"author_id": 954826339716849800,
"author_name": "Dooki",
"timestamp": "12/17/2022 19:31:01",
"content": "it doesnt make sense",
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"id": 1053831754777116700,
"author_id": 562992731769798700,
"author_name": "Reggie",
"timestamp": "12/17/2022 19:31:09",
"content": "tell your teacher this problem is fucked",
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"timestamp": "12/17/2022 19:31:23",
"content": "lol ok",
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 20:01:23",
"content": "@Dooki Has your question been resolved?",
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"timestamp": "12/17/2022 20:31:24",
"content": "Channel closed",
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}
] |
help-9
|
91a3a621785847259e0fe989ffe2cc8a
|
200,202 |
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 20:32:24",
"content": "Available help channel!",
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"timestamp": "12/17/2022 20:40:06",
"content": "SO",
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"id": 1053849115483701400,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:40:08",
"content": "for this",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:40:09",
"content": "If it helps, split it up",
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"timestamp": "12/17/2022 20:40:11",
"content": "i have to account for",
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"id": 1053849154255863800,
"author_id": 430069515712462850,
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"timestamp": "12/17/2022 20:40:17",
"content": "the area under the axis right",
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"timestamp": "12/17/2022 20:40:21",
"content": "Yes",
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"timestamp": "12/17/2022 20:40:29",
"content": "like initially i was going to do integrals from -2 to 0 and then 0 to 2",
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"timestamp": "12/17/2022 20:40:36",
"content": "but there’s those areas below that will mess it up",
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"content": "so how can i account for that?",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:40:52",
"content": "Well there's a really neat trick",
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"author_name": "Umbraleviathan",
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"content": "|-2| = |2| right",
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"timestamp": "12/17/2022 20:41:05",
"content": "yeah",
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"timestamp": "12/17/2022 20:41:09",
"content": "Keep that in mind",
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"timestamp": "12/17/2022 20:41:13",
"content": "y = x is odd",
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"content": "y = x^3 - 3x is also odd I think",
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"timestamp": "12/17/2022 20:41:39",
"content": "so like would i have to take the integral for below the curve",
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"timestamp": "12/17/2022 20:41:40",
"content": "the sum of two odd functions is odd so yes it is odd",
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"timestamp": "12/17/2022 20:41:45",
"content": "Yeah so",
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"timestamp": "12/17/2022 20:41:48",
"content": "so would i like",
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"content": "They're odd functions",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:42:00",
"content": "Is it asking for net area or total area?",
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"timestamp": "12/17/2022 20:42:02",
"content": "i don’t think we learned even and odd fns",
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"timestamp": "12/17/2022 20:42:03",
"content": "total",
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"timestamp": "12/17/2022 20:42:08",
"content": "net area would be easy",
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"timestamp": "12/17/2022 20:42:16",
"content": "i am lost because it’s total area bht i have negative regions",
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"timestamp": "12/17/2022 20:42:25",
"content": "Well it's an odd function (symmetric to the origin) and |-2| = |2|",
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"timestamp": "12/17/2022 20:42:40",
"content": "So just find the area from 0 to 2, and then multiply by 2",
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"timestamp": "12/17/2022 20:42:52",
"content": "Save yourself the hassle",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:42:58",
"content": "Do you know double integration or nah",
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"timestamp": "12/17/2022 20:43:00",
"content": "0 to 2 in the x axis or y?",
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"id": 1053849849679843300,
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"timestamp": "12/17/2022 20:43:03",
"content": "no",
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"timestamp": "12/17/2022 20:43:06",
"content": "i assume not",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:43:10",
"content": "0 to 2 in the x direction",
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"timestamp": "12/17/2022 20:43:14",
"content": "right",
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"id": 1053849907603185700,
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"timestamp": "12/17/2022 20:43:17",
"content": "but",
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"timestamp": "12/17/2022 20:43:21",
"content": "when i do that integrals",
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"timestamp": "12/17/2022 20:43:24",
"content": "won’t i get net area?",
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"id": 1053849951010029600,
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"timestamp": "12/17/2022 20:43:27",
"content": "not total",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:43:34",
"content": "You're gonna imagine shooting arrows upwards then. Which function do h these arrows intercept first",
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"timestamp": "12/17/2022 20:43:43",
"content": "It should work out fine",
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"timestamp": "12/17/2022 20:43:54",
"content": "but don’t integrals find net area?",
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"timestamp": "12/17/2022 20:44:01",
"content": "and i have an area above and an area below",
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"timestamp": "12/17/2022 20:44:15",
"content": "Yeah but the way the area formula works is that it's total area",
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"timestamp": "12/17/2022 20:44:26",
"content": "Because we're subtracting negative area",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:44:29",
"content": "Aka, adding area",
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"timestamp": "12/17/2022 20:44:36",
"content": "so what you’re saying is",
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"timestamp": "12/17/2022 20:44:40",
"content": "i have to do 2 integrals",
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"id": 1053850280032223200,
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"timestamp": "12/17/2022 20:44:46",
"content": "not one left to right but",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:44:47",
"content": "You don't have to",
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"id": 1053850291923058800,
"author_id": 430069515712462850,
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"timestamp": "12/17/2022 20:44:49",
"content": "one for above y",
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"id": 1053850301695807500,
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"author_name": "poonj",
"timestamp": "12/17/2022 20:44:51",
"content": "one for below y?",
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"id": 1053850345161380000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:45:01",
"content": "Wdym below y",
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"id": 1053850366229352400,
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"author_name": "poonj",
"timestamp": "12/17/2022 20:45:06",
"content": "oh",
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"id": 1053850383686045800,
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"timestamp": "12/17/2022 20:45:11",
"content": "below x",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:45:27",
"content": "Oh then no",
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"timestamp": "12/17/2022 20:45:29",
"content": "No no no",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:46:06",
"content": "The single integral formula is this:\n\n$$\\int_a^b [\\text{Top}(x) - \\text{Bottom}(x)]dx$$",
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"author_name": "TeXit",
"timestamp": "12/17/2022 20:46:09",
"content": "**Umbraleviathan**",
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"timestamp": "12/17/2022 20:46:25",
"content": "Just focus on when a = 0 and b = 2",
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"timestamp": "12/17/2022 20:46:33",
"content": "yeah but",
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"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:46:36",
"content": "Then what's your Top(x) and what's your Bottom(x)",
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"timestamp": "12/17/2022 20:46:36",
"content": "that gives net area",
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"timestamp": "12/17/2022 20:46:37",
"content": "not total",
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"id": 1053850772388970500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:46:43",
"content": "It will give total",
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"id": 1053850789732425700,
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"timestamp": "12/17/2022 20:46:47",
"content": "top is y=x",
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"id": 1053850798066507800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:46:49",
"content": "I can explain why if you want",
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"id": 1053850821344899100,
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"timestamp": "12/17/2022 20:46:55",
"content": "but",
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"id": 1053850837807538200,
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"author_name": "poonj",
"timestamp": "12/17/2022 20:46:59",
"content": "don’t integrals always give her",
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"id": 1053850843750879400,
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"timestamp": "12/17/2022 20:47:00",
"content": "net",
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"id": 1053850954694393900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:47:27",
"content": "That's only for a single function and if that single function can cross different signs",
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"id": 1053851001272139800,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:47:38",
"content": "oh so for 2 functions",
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"id": 1053851025053843500,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:47:43",
"content": "it always gives area between",
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"id": 1053851038429487100,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:47:47",
"content": "total",
"attachments": [],
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},
{
"id": 1053851046935527600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:47:49",
"content": "The area between 2 function always give the area between",
"attachments": [],
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{
"id": 1053851051943546900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:47:50",
"content": "Yes",
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},
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"id": 1053851064882954400,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:47:53",
"content": "bruhhhh",
"attachments": [],
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},
{
"id": 1053851096256356400,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:48:00",
"content": "ok that is good to know",
"attachments": [],
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},
{
"id": 1053851128489586700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:48:08",
"content": "It is still net area but it's net-positive area so like ... total area in a nutshell",
"attachments": [],
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{
"id": 1053851426490695700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:49:19",
"content": "Your area for the whole thing would be $2\\int_0^2[x - x^3 + 3x]dx$. This is because the functions are odd and $|-2| = |2|$, so the one half is just gonna be the same as the other half",
"attachments": [],
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{
"id": 1053851463656423400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 20:49:28",
"content": "**Umbraleviathan**",
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"id": 1053851712231846000,
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"author_name": "poonj",
"timestamp": "12/17/2022 20:50:27",
"content": "i got 4",
"attachments": [],
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},
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"id": 1053851750131568600,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:50:36",
"content": "oh wait it would be 8",
"attachments": [],
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},
{
"id": 1053851774987022300,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:50:42",
"content": "have to *2 right",
"attachments": [],
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},
{
"id": 1053851880415043600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:51:07",
"content": "Yeah",
"attachments": [],
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},
{
"id": 1053851891760648300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:51:10",
"content": "Lemme check",
"attachments": [],
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},
{
"id": 1053852012778881000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:51:39",
"content": ",w 2 Integrate[x-(x^3-3x), {x, 0, 2}]",
"attachments": [],
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"reference": null
},
{
"id": 1053852020454473700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 20:51:41",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852048937975900,
"author_id": 430069515712462850,
"author_name": "poonj",
"timestamp": "12/17/2022 20:51:48",
"content": "ahhh ty",
"attachments": [],
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},
{
"id": 1053852101530370000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:52:00",
"content": ",w Integrate[(x-(x^3 - 3x)), {x, 0, 2}] + Integrate[(x^3 - 3x) - x, {x, -2, 0}]",
"attachments": [],
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"reference": null
},
{
"id": 1053852125093953700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:52:06",
"content": "Uh oh",
"attachments": [],
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"reference": null
},
{
"id": 1053852135290306600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:52:08",
"content": "Oh wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852223974686700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:52:29",
"content": "That's not right ...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852269168312300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:52:40",
"content": "That shouldn't be so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852383718932500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:53:07",
"content": "Well no I'm just dumb as shit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852411304869900,
"author_id": 965494455090163700,
"author_name": "colin davis",
"timestamp": "12/17/2022 20:53:14",
"content": "isnt that expected? because the line is on top for only hafl the time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852413838237800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:53:15",
"content": "Bruh im legit just auuuuuughhhhhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852543140253700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:53:45",
"content": "Total area is 8, the net area is 0 ahhdjsjehsjkwjejddhfhcusjsjs",
"attachments": [],
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"reference": null
},
{
"id": 1053852559200243700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:53:49",
"content": "Im losing it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852575973261300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:53:53",
"content": "Gonna retreat back to Minecraft",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852732991221800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 20:54:31",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852748782764000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:54:34",
"content": "Easy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852791833100300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:54:45",
"content": "I know how to integrate : D",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053852907516219500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/17/2022 20:55:12",
"content": ",w integral -2 to 2 |x^3 - 3x - x|",
"attachments": [],
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},
{
"id": 1053852926751289500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/17/2022 20:55:17",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053853064190247000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/17/2022 20:55:50",
"content": "Now I'm gonna cry at gradient fields",
"attachments": [],
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"reference": null
},
{
"id": 1053855824663031800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 21:06:48",
"content": "@poonj Has your question been resolved?",
"attachments": [],
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"name": "poonj",
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"id": 1053859601528926200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 21:21:48",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
36c6b7f7aebd4b8bb674c467ea130f80
|
200,203 |
[
{
"id": 1053876262004863000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 22:28:00",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1053878265238003700,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:35:58",
"content": "do numbers underneath cube roots have to be postive",
"attachments": [],
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},
{
"id": 1053878268857700400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 22:35:59",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1053878382322000000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/17/2022 22:36:26",
"content": "no\nexample: cuberoot(-1) = -1, as -1 * -1 * -1 = -1",
"attachments": [],
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},
{
"id": 1053878534545883300,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:37:02",
"content": "ok",
"attachments": [],
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},
{
"id": 1053878542766715000,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:37:04",
"content": "but look",
"attachments": [],
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},
{
"id": 1053878565403373700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/17/2022 22:37:10",
"content": "if you want to be even more pedantic, 0 is not positive :KEK:",
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"author_name": "symbolic",
"timestamp": "12/17/2022 22:37:17",
"content": "",
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"author_name": "symbolic",
"timestamp": "12/17/2022 22:37:28",
"content": "so this is like 7 root",
"attachments": [],
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},
{
"id": 1053878657124405200,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:37:31",
"content": "idk how to call it",
"attachments": [],
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"reference": null
},
{
"id": 1053878669615046800,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "12/17/2022 22:37:34",
"content": "yes",
"attachments": [],
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},
{
"id": 1053878676585988200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "12/17/2022 22:37:36",
"content": "7th root",
"attachments": [],
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},
{
"id": 1053878690209087500,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:37:39",
"content": "oh nice",
"attachments": [],
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},
{
"id": 1053878723771912200,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "12/17/2022 22:37:47",
"content": "7th root of x to the power of 6",
"attachments": [],
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},
{
"id": 1053878725671927800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/17/2022 22:37:48",
"content": "that's still a well defined function for all x not equal to 0\n\nodd roots behave like that in general",
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},
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"id": 1053878893158875100,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:38:28",
"content": "ohhh ok",
"attachments": [],
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},
{
"id": 1053878901773971500,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:38:30",
"content": "i see",
"attachments": [],
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},
{
"id": 1053878962612351000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/17/2022 22:38:44",
"content": "when in doubt plug in -1 and see if it explodes",
"attachments": [],
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},
{
"id": 1053878979041427600,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:38:48",
"content": "so to solve 1 = 7root of x^6",
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},
{
"id": 1053879016114884600,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:38:57",
"content": "ok thats smart lol",
"attachments": [],
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},
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"id": 1053879083991310500,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:39:13",
"content": "you would do 1^7",
"attachments": [],
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},
{
"id": 1053879118137139300,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:39:21",
"content": "then 6th root?",
"attachments": [],
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},
{
"id": 1053879211183575000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/17/2022 22:39:44",
"content": "yes",
"attachments": [],
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},
{
"id": 1053879217869291500,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:39:45",
"content": "and 6th root it could be positive or negative",
"attachments": [],
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},
{
"id": 1053879301193351300,
"author_id": 328647504633528300,
"author_name": "symbolic",
"timestamp": "12/17/2022 22:40:05",
"content": "but for 7th root it could only be the sign of the number underneath",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 22:55:05",
"content": "@symbolic Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 22:55:10",
"content": "Channel closed",
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}
] |
help-9
|
c137c61aff494dfcaddf34a1522bc671
|
200,204 |
[
{
"id": 1053883350709968900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 22:56:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1053884908013109200,
"author_id": 1027364482273517600,
"author_name": "Neem",
"timestamp": "12/17/2022 23:02:22",
"content": "I need help answering the following question:\n\n> f(x) = sin(x) + cos(x), where 0 ≤ x ≤ π\n> \n> Determine all stationary points. Classify the points as relative minima or maxima.\n\nI was already to find all stationary points. The only stationary point within [0,π] is (π/4, √2). I was easily able to use the second derivative rule to determine that this was an absolute maximum.\n\nThe problem is with the endpoints of the interval, x=0 and x=π. The respective points on the graph of f(x) are (0, 1) and (π, -1). How do I determine whether these are relative minimums or maximums?",
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},
{
"id": 1053884910932340900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/17/2022 23:02:23",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1053886092279021700,
"author_id": 1027364482273517600,
"author_name": "Neem",
"timestamp": "12/17/2022 23:07:04",
"content": "if it helps to save any work:\n\nf'(x) = cos(x) - sin(x)\nf''(x) = -sin(x) - cos(x)",
"attachments": [],
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},
{
"id": 1053886298261311500,
"author_id": 173952257635778560,
"author_name": "Nilocnus",
"timestamp": "12/17/2022 23:07:53",
"content": "I think endpoints are pretty finnicky defined in general when it comes to whether they can be considered local (relative) maximas/minimas, and it depends on the course book that you have. If you have any doubts, you can always consult with your professor. It's most likely how your book would choose to define it though",
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},
{
"id": 1053886508614033500,
"author_id": 173952257635778560,
"author_name": "Nilocnus",
"timestamp": "12/17/2022 23:08:43",
"content": "For example, Stewart's edition of Calculus determines that endpoints can't be local maximas nor minimas",
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"timestamp": "12/17/2022 23:09:19",
"content": "Because there is no limit to them when it approaches the point from both sides",
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"content": "Of course, this doesn't stop endpoints from being absolute maximas nor minimas",
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"content": "yeah, but that causes a bit of a problem",
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"timestamp": "12/17/2022 23:11:16",
"content": "In this case, the absolute minimum would be (π, -1), correct?",
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"content": "yes",
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"content": "I can use the second derivative test to determine that, as well as the absolute maximum",
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"timestamp": "12/17/2022 23:12:30",
"content": "since f''(x) is positive for the min and negative for the max",
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"timestamp": "12/17/2022 23:13:33",
"content": "But unlike (π, -1), you can't just use the second derivative test on (0, 1), or you would have two maximums",
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"timestamp": "12/17/2022 23:14:53",
"content": "wolframalpha says that (0, 1) is a local minimum, and that makes sense since it isn't the absolute maximum. I'm just not sure how I can determine whether it's a local minimum or maximum",
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"timestamp": "12/17/2022 23:15:16",
"content": "And for clarification, we do consider the endpoints minima/maxima",
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"content": "I don't quite follow",
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"timestamp": "12/17/2022 23:19:05",
"content": "The double derivative test can have a seemingly infinite number of maximums if you want",
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"timestamp": "12/17/2022 23:19:26",
"content": "The second derivative test states (kinda) that where f’(x) = 0, f’’(x) determines whether it’s a minimum or maximum",
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"content": "local*",
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"timestamp": "12/17/2022 23:19:57",
"content": "But that doesn’t make sense since the point at x=0 isn’t a local maximum",
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"timestamp": "12/17/2022 23:20:11",
"content": "Even though using the second derivative test would say it is",
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"timestamp": "12/17/2022 23:20:42",
"content": "but f'(x) isn't equal to 0 at x = 0",
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"timestamp": "12/17/2022 23:20:57",
"content": "Oh my god you’re right",
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"timestamp": "12/17/2022 23:21:32",
"content": "It isn’t at either of the endpoints actually",
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"timestamp": "12/17/2022 23:21:53",
"content": "So then that leaves the question, how can I determine whether something is a local max or min?",
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"timestamp": "12/17/2022 23:22:09",
"content": "Well if your textbook defines endpoints to be possibly local extremas, then yes. But they don't follow the second derivative test",
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"timestamp": "12/17/2022 23:22:33",
"content": "Do I just order the points by x value and alternate between min and max? Would that always work?",
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"timestamp": "12/17/2022 23:23:06",
"content": "Just see whether the endpoints are increasing or decreasing and you have your answer",
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"timestamp": "12/17/2022 23:23:23",
"content": "i.e, use the second derivative test but ignore the f'(x) = 0 condition",
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"timestamp": "12/17/2022 23:23:59",
"content": "So if we consider (0,1) to be a local minima, then we just confirm it by realizing that it's decreasing alongside that interval",
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"timestamp": "12/17/2022 23:23:59",
"content": "Once again, that would mean the point at x=0 is a local maximum and not a local minimum",
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"timestamp": "12/17/2022 23:24:31",
"content": "Endpoints as locals are finnicky for this very reason",
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"timestamp": "12/17/2022 23:24:43",
"content": "Yeah",
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"timestamp": "12/17/2022 23:25:09",
"content": "Well if there’s no clear solution, I guess I’ll just leave it at this?",
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"content": "One property that must hold for local maximas is that a local maximum must be decreasing on the right interval and increasing on the left interval",
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"timestamp": "12/17/2022 23:25:29",
"content": "unfortunately, (0,1) doesn't follow this",
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"timestamp": "12/17/2022 23:25:49",
"content": "so it doesn't make sense to make it a local maximum",
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"timestamp": "12/17/2022 23:26:14",
"content": "But since it doesn't decrease nor increase on the left either because there is nothing on the left, then... (?)",
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"content": "Yup sounds good",
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"timestamp": "12/17/2022 23:26:31",
"content": "And I suggest clarifying with your prof on this",
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"timestamp": "12/17/2022 23:26:49",
"content": "Alright, thanks for helping me not understand endpoints 😂",
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"timestamp": "12/17/2022 23:27:16",
"content": "it is my absolute pleasure to make things even more confusing 👍",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
4fec8940697743d39654e239d0fb26c0
|
200,205 |
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"timestamp": "12/18/2022 00:24:20",
"content": "Available help channel!",
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"author_id": 932873609221931100,
"author_name": "Lightbringer3609",
"timestamp": "12/18/2022 00:28:24",
"content": "can someone help me understand domain and range?",
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"id": 1053906562424524800,
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"content": "Pinned a message.",
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"content": "pre algebra",
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"id": 1053906598499713200,
"author_id": 932873609221931100,
"author_name": "Lightbringer3609",
"timestamp": "12/18/2022 00:28:33",
"content": "thanks!",
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{
"id": 1053907913317548200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/18/2022 00:33:47",
"content": "Just watch Khan Academy on domain and range of functions. Use help channels when you have an actual problem",
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"timestamp": "12/18/2022 00:43:33",
"content": "@Lightbringer3609 Has your question been resolved?",
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] |
help-9
|
6868b0b02048460ba01a903e0e984f66
|
200,206 |
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"id": 1053934442978218000,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:19:12",
"content": "https://prnt.sc/hqTWf0dsBBPR",
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:20:14",
"content": "I thought h with given radius is radius^2 not radius x 2 but the answers says its like that and also whats the difference between regular height and slant height",
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"id": 1053934924387856500,
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"timestamp": "12/18/2022 02:21:07",
"content": "So can explain calculating height given radius or given radius and volume",
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"content": "Here's the diff between regular height and slant h",
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"timestamp": "12/18/2022 02:21:50",
"content": "basically, height doesn't have any relation to radius",
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"id": 1053935127534764000,
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"timestamp": "12/18/2022 02:21:55",
"content": "but because the problem states",
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"id": 1053935158367100900,
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"timestamp": "12/18/2022 02:22:02",
"content": "the height is equal to the diameter",
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"timestamp": "12/18/2022 02:22:10",
"content": "you can figure out the height with the radius",
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"timestamp": "12/18/2022 02:22:51",
"content": "the radius is half a diameter, so basically the diameter is 2 times the radius",
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"timestamp": "12/18/2022 02:23:25",
"content": "i can't tell if the radius is 2.25 or 2 x 25",
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:23:41",
"content": "Ok so if they said calculate height given radius and volume what would you do",
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"timestamp": "12/18/2022 02:23:47",
"content": "because the dot seems to be placed in the middle of the two numbers",
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"timestamp": "12/18/2022 02:24:04",
"content": "basically the equation for the volume of a cone, is 1/3bh",
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"timestamp": "12/18/2022 02:24:25",
"content": "the equation for the area of a circle (base)",
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"timestamp": "12/18/2022 02:24:37",
"content": "is pi r^2",
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:26:42",
"content": "height = volume / (π × radius²).",
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"timestamp": "12/18/2022 02:26:46",
"content": "how do I calculate this",
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"timestamp": "12/18/2022 02:29:29",
"content": "I have another question anyway",
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:30:00",
"content": "https://prnt.sc/_ztY9gvnxNbd",
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"id": 1053937219045437400,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:30:14",
"content": "If they give us an equation how do I draw it on a graph",
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"id": 1053937522885001200,
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:31:26",
"content": "since I know the equation is (x-2) + (y+3) = 4^2",
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"author_name": "starlight",
"timestamp": "12/18/2022 02:31:36",
"content": "ok so im back",
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"id": 1053937601045868500,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 02:31:45",
"content": "so you know the centre,",
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"id": 1053937616468324400,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 02:31:48",
"content": "and you know the radius right",
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"id": 1053937632641556600,
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"author_name": "starlight",
"timestamp": "12/18/2022 02:31:52",
"content": "using that information",
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"author_name": "starlight",
"timestamp": "12/18/2022 02:31:57",
"content": "you can graph a circle",
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},
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"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:32:02",
"content": "Ok",
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},
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"id": 1053938036313956400,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:33:29",
"content": "I saw the circle but why does the bottom end on -7",
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:34:20",
"content": "https://prnt.sc/-Z0YfchE4Y0k",
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"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:34:29",
"content": "@starlight",
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"id": 1053938339457286100,
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"author_name": "starlight",
"timestamp": "12/18/2022 02:34:41",
"content": "because the center is (2,-3) right",
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"author_name": "starlight",
"timestamp": "12/18/2022 02:34:55",
"content": "the bottom point is 4 units away from the centre",
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"id": 1053938527768936400,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:35:26",
"content": "Where is the center placed",
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"author_name": "starlight",
"timestamp": "12/18/2022 02:35:31",
"content": "(2,-3)",
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"id": 1053938677073588200,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:36:01",
"content": "and is it a rule for the bottom point to be radius units away",
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"timestamp": "12/18/2022 02:36:25",
"content": "yeah, that's the definition of a radius",
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"id": 1053938802915278800,
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"author_name": "starlight",
"timestamp": "12/18/2022 02:36:31",
"content": "because the bottom point is straight down,",
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"author_name": "starlight",
"timestamp": "12/18/2022 02:36:39",
"content": "the x coordinate is not affected",
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"id": 1053938875069911000,
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"author_name": "starlight",
"timestamp": "12/18/2022 02:36:49",
"content": "and the coordinate is just (x, y-r)",
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"id": 1053938913699430500,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:36:58",
"content": "why is the top 1 tho",
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},
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"id": 1053938933681107000,
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"timestamp": "12/18/2022 02:37:03",
"content": "from the centre",
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},
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"id": 1053939090866835600,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:37:40",
"content": "https://prnt.sc/NjVTmmIkTD37",
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},
{
"id": 1053939101776220200,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:37:43",
"content": "what determines this",
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"id": 1053939152632164400,
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"author_name": "starlight",
"timestamp": "12/18/2022 02:37:55",
"content": "also the same logic",
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"id": 1053939192150900700,
"author_id": 1003857269802401900,
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"timestamp": "12/18/2022 02:38:04",
"content": "the top point is straight up from the centre",
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},
{
"id": 1053939221460701200,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 02:38:11",
"content": "meaning that the x coordinate stays the same",
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},
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"id": 1053939250309111800,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 02:38:18",
"content": "only the y coordinate is added by the radius",
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},
{
"id": 1053939260857786400,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 02:38:21",
"content": "which in this case is 4",
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},
{
"id": 1053939427627516000,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:39:00",
"content": "so 4 units away from -3",
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},
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"id": 1053942436239519700,
"author_id": 703442032147824800,
"author_name": "Cael 🇹🇷",
"timestamp": "12/18/2022 02:50:58",
"content": ".close",
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},
{
"id": 1053942438626074600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 02:50:58",
"content": "Channel closed",
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}
] |
help-9
|
ced5ed03a71a432298ba9b13b3ad7d07
|
200,207 |
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"timestamp": "12/18/2022 03:22:29",
"content": "Available help channel!",
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"timestamp": "12/18/2022 03:48:02",
"content": "Pinned a message.",
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"content": "Channel closed",
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}
] |
help-9
|
dc0936ce447a48708e63bea552285759
|
200,208 |
[
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"id": 1053962231546650600,
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 04:09:37",
"content": "Available help channel!",
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},
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"id": 1053973159797346300,
"author_id": 389372408789860350,
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"author_id": 389372408789860350,
"author_name": "Аппроксимат",
"timestamp": "12/18/2022 04:54:40",
"content": "Why is there minus when we reduced (sinx+cosx)^2 and I didn't get from where we have x-pi/4=5pi/4 + 2k*pi",
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"id": 1053973751009656800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/18/2022 04:55:24",
"content": "$\\cos(x) - \\sin(x) = -(\\sin(x) - \\cos(x))$",
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"id": 1053973760182595600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 04:55:26",
"content": "**Ｈｅｒｅｌｓ**",
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"timestamp": "12/18/2022 04:56:09",
"content": "Ohhh ok",
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"author_id": 389372408789860350,
"author_name": "Аппроксимат",
"timestamp": "12/18/2022 04:57:15",
"content": "fk I didn't detect the difference",
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"id": 1053974328447881300,
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/18/2022 04:57:41",
"content": "$\\sin(x) = a \\implies x = \\begin{cases} \\sin^{-1} (a) + 2k\\pi & k \\in \\mathbb{R} \\\\ \\pi - \\sin^{-1}(a) + 2k\\pi & k \\in \\mathbb{R} \\end{cases}$",
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"id": 1053974338094772200,
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"author_name": "TeXit",
"timestamp": "12/18/2022 04:57:44",
"content": "**Ｈｅｒｅｌｓ**",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/18/2022 04:59:27",
"content": "so, $\\sin(x-\\frac{\\pi}{4}) = -\\frac{1}{\\sqrt{2}} = \\sin(-\\frac{\\pi}{4})$",
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"id": 1053974781101363200,
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"timestamp": "12/18/2022 04:59:29",
"content": "**Ｈｅｒｅｌｓ**",
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"timestamp": "12/18/2022 04:59:44",
"content": "yeah, x=(-1)^n * arcsin(a)+ pi*n",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/18/2022 04:59:54",
"content": "btw just say \\bR and make ur life easier",
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"id": 1053975224036642800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/18/2022 05:01:15",
"content": "$x-\\frac{\\pi}{4} = \\begin{cases} -\\frac{\\pi}{4} + 2k\\pi & k \\in \\bR \\\\ \\pi - \\frac{\\pi}{4} + 2k\\pi & k \\in \\bR \\end{cases}$",
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"id": 1053975233259900900,
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"timestamp": "12/18/2022 05:01:17",
"content": "**Ｈｅｒｅｌｓ**",
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"content": ":worryok:",
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"timestamp": "12/18/2022 05:01:47",
"content": "ok thanks",
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"timestamp": "12/18/2022 05:04:04",
"content": ".close",
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"timestamp": "12/18/2022 05:04:05",
"content": "Channel closed",
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] |
help-9
|
dc2821a84c39441f94ccb50d67e3f552
|
200,209 |
[
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"timestamp": "12/18/2022 05:05:05",
"content": "Available help channel!",
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},
{
"id": 1053983698124554200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
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"content": "Pinned a message.",
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"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:35:25",
"content": "I think i know how to solve it",
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},
{
"id": 1053983852676268200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:35:32",
"content": "but im really lost on how to model it",
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{
"id": 1053984572909568100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:38:24",
"content": "state the equation of an arbitrary circle",
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},
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"id": 1053984674994729000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:38:48",
"content": "x^2 + y^2 = r^2",
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"id": 1053984779500003300,
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"author_name": "IV",
"timestamp": "12/18/2022 05:39:13",
"content": "that's not arbitrary enough, as this assumes your circle is centred at the origin\n\ndo you know the more general circle equation?",
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"timestamp": "12/18/2022 05:39:26",
"content": "oh yeh",
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"id": 1053984893694128100,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:39:40",
"content": "u minus them in brackets and sqaure",
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"author_id": 983012659005907100,
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"timestamp": "12/18/2022 05:39:43",
"content": "?",
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"id": 1053984947523813400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:39:53",
"content": "yes, can you write it out?",
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:40:15",
"content": "(x-a)^2 + (y-b)^2 = r^2",
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"id": 1053985068323975200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:40:22",
"content": "that one?",
"attachments": [],
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"id": 1053985113765060600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:40:33",
"content": "yes, now you try to solve the problem using information given",
"attachments": [],
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"id": 1053985169691906000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:40:46",
"content": "i found gradient",
"attachments": [],
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"id": 1053985223597105300,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:40:59",
"content": "of a->b",
"attachments": [],
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"id": 1053985252315517000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:41:06",
"content": "which was 1/2",
"attachments": [],
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"id": 1053985319877357600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:41:22",
"content": "then i found the mid point",
"attachments": [],
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"id": 1053985339821264900,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:41:27",
"content": "which was (2,1)",
"attachments": [],
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"id": 1053985372801093600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:41:34",
"content": "then the perpendicualr line",
"attachments": [],
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"id": 1053985390735937500,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:41:39",
"content": "which had gradient -2",
"attachments": [],
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},
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"id": 1053985438286749700,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:41:50",
"content": "then centre which is (-1,y)",
"attachments": [],
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"id": 1053985498441470000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:42:04",
"content": "then tried to find y by looking at graident",
"attachments": [],
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"id": 1053985513566109700,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:42:08",
"content": "which didnty work",
"attachments": [],
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"id": 1053985561955815600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:42:20",
"content": "sry if that made no sense",
"attachments": [],
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"id": 1053985711759577100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:42:55",
"content": "no, it made sense",
"attachments": [],
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},
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"id": 1053985740691882100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:43:02",
"content": "and that does actually get you the centre",
"attachments": [],
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},
{
"id": 1053985905720950800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:43:42",
"content": "what's the equation of the perpendicular line that passes through the point (2,1)?",
"attachments": [],
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"id": 1053985957898109000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:43:54",
"content": "y = -2x + c",
"attachments": [],
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"id": 1053985982770335700,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:44:00",
"content": "then sub in 2,1",
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"id": 1053986018832949200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:44:09",
"content": "one sec",
"attachments": [],
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"id": 1053986119328464900,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:44:32",
"content": "y = -2x + 5",
"attachments": [],
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},
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"id": 1053986365638979700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:45:31",
"content": "and therefore the centre of the circle is?",
"attachments": [],
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"id": 1053986439035093000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:45:49",
"content": "?",
"attachments": [],
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},
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"id": 1053986451722875000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:45:52",
"content": "No idea bro",
"attachments": [],
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},
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"id": 1053986495687577700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:46:02",
"content": "the line you just constructed passes through the centre of the circle",
"attachments": [],
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},
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"id": 1053986636595220500,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:46:36",
"content": "(2,1) and (-1,y) give a gradient of -2 right?",
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"id": 1053986742128103400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:47:01",
"content": "yes\n\n(you can also just use the equation of the line)",
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"id": 1053986756179001500,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:47:04",
"content": "y - 1 / -1 - 2 = -2/1",
"attachments": [],
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},
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"id": 1053986848202051600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:47:26",
"content": "y should be -1",
"attachments": [],
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},
{
"id": 1053986866107523200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:47:31",
"content": "no?",
"attachments": [],
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},
{
"id": 1053986899066355700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:47:38",
"content": "where're your brackets",
"attachments": [],
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},
{
"id": 1053986946352939000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:47:50",
"content": "brackets?",
"attachments": [],
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},
{
"id": 1053987039093203100,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:48:12",
"content": "for what",
"attachments": [],
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{
"id": 1053987072752504800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:48:20",
"content": "you're using the rise over run formula but you forgot to put the brackets",
"attachments": [],
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{
"id": 1053987108584439800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:48:28",
"content": "so you end up with the wrong order of operations",
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"id": 1053987160103067600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:48:41",
"content": "oh",
"attachments": [],
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},
{
"id": 1053987206374621200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:48:52",
"content": "how do u use brackets in rise over run calcs?",
"attachments": [],
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},
{
"id": 1053987298875813900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:49:14",
"content": "$\\text{gradient} = \\frac{\\text{rise}}{\\text{run}}$",
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},
{
"id": 1053987308786946000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 05:49:16",
"content": "**IV**",
"attachments": [
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:49:26",
"content": "yes",
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{
"id": 1053987370820714600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:49:31",
"content": "$= \\frac{(y_2-y_1)}{(x_2-x_1)}$",
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{
"id": 1053987426982441000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 05:49:44",
"content": "**IV**",
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"id": 1053987501771063300,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:50:02",
"content": "i kinda suck at maths how do the brackts make a differnce?",
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{
"id": 1053987658189242400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:50:39",
"content": "it does when you can't properly type fractions\n\nall of your numbers are correct, it's just the fact you're not writing fractions properly means you're doing order of operations wrong",
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{
"id": 1053987775189368800,
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"author_name": "IV",
"timestamp": "12/18/2022 05:51:07",
"content": "so when you type say (2-1)/(3-1) = 1/2\n\ncompared to 2-1/3-1 = 2-(1/3)-1 = 2/3",
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"id": 1053987920672981000,
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:51:42",
"content": "oh okay",
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{
"id": 1053987971419873300,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:51:54",
"content": "that kinda makes sense",
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"id": 1053988031423590400,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:52:08",
"content": "how would u apply this to the rise over run quesiotn?",
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"id": 1053988150453747700,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:52:37",
"content": "(y - 1) / (-1 - 2) = -2/1",
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},
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"id": 1053988197572546600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:52:48",
"content": "that's it",
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"id": 1053988285829087200,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:53:09",
"content": "how would this give a differnet answer?",
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"id": 1053988308558020600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:53:14",
"content": "evaluate it and see",
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"id": 1053988427508490200,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:53:43",
"content": "again this only happens because on a computer it's annoying to type fractions\n\nso when it gets confusing you should bracket things that are supposed to be together",
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"id": 1053988501206614100,
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:54:00",
"content": "oh okay",
"attachments": [],
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},
{
"id": 1053988518914961400,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:54:05",
"content": "i get y = -5",
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"id": 1053988556080676900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:54:13",
"content": "close but not quite",
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{
"id": 1053988624632401900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:54:30",
"content": "you have \n\n$\\frac{y-1}{-1-2} = \\frac{-2}{1}$",
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"id": 1053988635592118400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 05:54:32",
"content": "**IV**",
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"id": 1053988666181157000,
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:54:40",
"content": "yep",
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"id": 1053988678432735400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:54:43",
"content": "now solve for y\n\nthere, no more headache :p",
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"id": 1053988697080614900,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:54:47",
"content": "i crossed multiples",
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"id": 1053988831147339800,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:55:19",
"content": "ohh",
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"id": 1053988839301066900,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:55:21",
"content": "y =7",
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"id": 1053988852299202700,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:55:24",
"content": "?",
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"id": 1053988882812780700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 05:55:31",
"content": "yes, that gives you the centre of the circle",
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"id": 1053988930124521500,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:55:43",
"content": "(-1,7)",
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},
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"id": 1053988952132034600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:55:48",
"content": "sweet",
"attachments": [],
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},
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"id": 1053989086693687400,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:56:20",
"content": "(x+1)^2 + (y-7)^2 = 50",
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"id": 1053989676924551200,
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:58:41",
"content": "",
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"timestamp": "12/18/2022 05:58:47",
"content": "one question",
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"id": 1053989786190352500,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 05:59:07",
"content": "from the question how should u know that it is a chord with a peropendicular line",
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"id": 1053989997449060400,
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"author_name": "IV",
"timestamp": "12/18/2022 05:59:57",
"content": "for any chord, its perpendicular bisector always passes through the centre",
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"id": 1053990046245593100,
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 06:00:09",
"content": "",
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"id": 1053990070186676400,
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 06:00:14",
"content": "And not like this",
"attachments": [],
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},
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"id": 1053990084292116600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:00:18",
"content": "i.e. a line perpendicular to a chord that passes through the midpoint of the chord",
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"author_name": "IV",
"timestamp": "12/18/2022 06:00:44",
"content": "so it doesn't matter which chord you use, as long as you find a perpendicular line that pass through its midpoint, that line also passes through the centre of the circle",
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"author_name": "DumplingMan123",
"timestamp": "12/18/2022 06:01:04",
"content": "oh okay",
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},
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"id": 1053990324743180300,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 06:01:15",
"content": "thx so much for the help man",
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},
{
"id": 1053990379621458000,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 06:01:28",
"content": "have a great day",
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},
{
"id": 1053990388806979600,
"author_id": 983012659005907100,
"author_name": "DumplingMan123",
"timestamp": "12/18/2022 06:01:30",
"content": ".close",
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},
{
"id": 1053990391420031000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 06:01:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
9662f35859ca4f71a04689601d7ebca4
|
200,210 |
[
{
"id": 1034686617119633400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:35:13",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1034688584613113900,
"author_id": 683806442012409900,
"author_name": "camcam123",
"timestamp": "10/26/2022 00:43:02",
"content": "e",
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},
{
"id": 1034688587456843800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:43:02",
"content": "Pinned a message.",
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{
"id": 1034690537598492800,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "10/26/2022 00:50:47",
"content": ".close",
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},
{
"id": 1034690541406912500,
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"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:50:48",
"content": "Channel closed",
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}
] |
help-9
|
ff34793bca2d4945a3ca01748d55a419
|
200,211 |
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{
"id": 1053994578916692000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 06:18:09",
"content": "Available help channel!",
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},
{
"id": 1053999249865576600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:36:43",
"content": "I’m kind of stupid but, isn’t math an exact measurement when doing something. So I imagine I had a chocolate bar I wanted to split with 3 people, it had 100 pieces. You can’t split the 100 Pieces evenly, so that would be 33.3 like you would give everyone 3 pieces and have one left over because you have 99 because you can’t split 100 evenly amongst 3 people, but if you were to put 3/10ths as a percentage it would be 30% but 30x3 is 90% which is uneven and we started with 100. So if math is exact then why would we lose 10 with 3/10ths because 3/10ths isn’t even like you can’t split the chocolate bar into 3/10ths because that’s not even because what happens to the other 10%? Do I make sense or do I sound like a idoit?",
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"timestamp": "12/18/2022 06:36:44",
"content": "Pinned a message.",
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{
"id": 1053999538140102800,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:37:52",
"content": "> but if you were to put 3/10ths as a percentage it would be 30%\nyou're suggesting to divide 3 people over 10 chocolates, that's some horror movie plot",
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{
"id": 1053999645862400100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:38:17",
"content": "basically just like you have 1 left over, you would have 10 pieces left over",
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{
"id": 1053999661289050100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:38:21",
"content": "in the second scenario",
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},
{
"id": 1053999744453722200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:38:41",
"content": "no but If you devide 3/10ths you get 30% right but where does the extra one go",
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{
"id": 1053999867967582300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:39:10",
"content": "gets divided into 3 parts again leaving a smaller 1/100th, which then gets divided into 3 parts again leaving 1/1000th, etc",
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"id": 1053999959134974000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:39:32",
"content": "But it will never be a whole 100%",
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},
{
"id": 1053999996594307200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:39:41",
"content": "So how will it ever be even if 3 repeats",
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{
"id": 1054000057520754800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:39:56",
"content": "Because then it would be 99.999999%",
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},
{
"id": 1054000075732426800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:40:00",
"content": "see that's the fun part, since it repeats indefinitely, it does become 100%",
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{
"id": 1054000130812039300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:40:13",
"content": "read some proofs on why 0.9999999999.. (with infinitely many 9s) = 1",
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},
{
"id": 1054000137980092500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:40:15",
"content": "Am I stupid or is what I’m saying making sense?",
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{
"id": 1054000165616373800,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:40:21",
"content": "the number 99.9999999... doesn't exist similarly to 0.999999...",
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{
"id": 1054000194057928800,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:40:28",
"content": "there's only 100 and 1",
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},
{
"id": 1054000295132274700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:40:52",
"content": "they both exist and are exactly equal to 100 and 1 respectively :thinkies:",
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},
{
"id": 1054000352158040000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:41:06",
"content": "yo is what I’m saying making sense or do I sound stupid?",
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{
"id": 1054000433028411400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:41:25",
"content": "Because I’m still pretty confused on it in my head",
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"id": 1054000636116615300,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:42:14",
"content": "you just taken 3/10 out of nowhere",
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{
"id": 1054000745852174300,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:42:40",
"content": "and then asking why 3/10 isn't the same as 100/3",
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{
"id": 1054000851213111300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:43:05",
"content": "I’m asking",
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{
"id": 1054000888626290700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:43:14",
"content": "Why can’t you split 100 pieces of chocolates evenly",
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{
"id": 1054000987871920100,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:43:37",
"content": "With 3 people",
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},
{
"id": 1054001005727064200,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:43:42",
"content": "you can, you can't if and only if you want everyone to receive whole chocolate pieces",
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{
"id": 1054001050249593000,
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"author_name": "IV",
"timestamp": "12/18/2022 06:43:52",
"content": "which is usually an assumption",
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{
"id": 1054001071317581800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:43:57",
"content": "That’s what I mean",
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{
"id": 1054001074027122700,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:43:58",
"content": "because, as you pointed out, there's one piece left",
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{
"id": 1054001099226501100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:44:04",
"content": "technically you can't completely evenly split it",
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{
"id": 1054001176091295700,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:44:22",
"content": "but that's because there's a remainder",
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{
"id": 1054001196270096500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:44:27",
"content": "But I’m saying if you continuously divide the pieces you will not end up with 100%",
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"id": 1054001226112581600,
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"author_name": "Redz",
"timestamp": "12/18/2022 06:44:34",
"content": "Because 33.33333333",
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},
{
"id": 1054001259469881300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:44:42",
"content": "It would be 99%",
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},
{
"id": 1054001283369009200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:44:48",
"content": "So where does the 1 go?",
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},
{
"id": 1054001304961302500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:44:53",
"content": "Is what I’m asking",
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},
{
"id": 1054001379766710300,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:45:11",
"content": "it would be 99.9999999999%",
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},
{
"id": 1054001423362314400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:45:21",
"content": "Where does the 0.00000001",
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},
{
"id": 1054001430966567000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:45:23",
"content": "Go",
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},
{
"id": 1054001458950963200,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:45:30",
"content": "it's the remainder",
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},
{
"id": 1054001499300171900,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:45:39",
"content": "you should just read up on the proof of why 0.99999... = 1",
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},
{
"id": 1054001511874707500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:45:42",
"content": "Yea but I want to split it evenly bro",
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},
{
"id": 1054001539032813600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:45:49",
"content": "And isn’t math an exact measurement",
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},
{
"id": 1054001555927482400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:45:53",
"content": "It’s suppose to be 100%",
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},
{
"id": 1054001574885728300,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:45:57",
"content": "it is",
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},
{
"id": 1054001580212506600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 06:45:59",
"content": "it goes on the knife :kekw:",
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},
{
"id": 1054001584268394500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:46:00",
"content": "Like a measurement of a whole 100%",
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},
{
"id": 1054001691806138400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:46:25",
"content": "and 100/3 is an exact measurement",
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{
"id": 1054001713037725700,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:46:30",
"content": "no matter what number 100/3 is equal to, 100/3 * 3 is precisely 100",
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},
{
"id": 1054001823549235200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:46:57",
"content": "In math we just somehow lose numbers bro",
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},
{
"id": 1054001840108355700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:47:01",
"content": "That’s what makes no sense",
"attachments": [],
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},
{
"id": 1054001871431405700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:47:08",
"content": "Like it can’t calculate anything exactly",
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},
{
"id": 1054001942357082100,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:47:25",
"content": "that's a complaint related to finite numerical accuracy of your calculator",
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{
"id": 1054001957766963200,
"author_id": 268952088564727800,
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"timestamp": "12/18/2022 06:47:29",
"content": "nothing else",
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},
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"id": 1054002049102127100,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 06:47:50",
"content": "infinitely accurate calculator doesn't exist due to physics reasons",
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},
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"id": 1054002070132379600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:47:55",
"content": "If you keep dividing 100 pieces of 3 chocolate until you try to make it even it will be 33.3333333 or 99% so you lose 1 how?",
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"id": 1054002148947533800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:48:14",
"content": "you're not losing one",
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},
{
"id": 1054002174826381300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:48:20",
"content": "you divide the last one into 3 pieces again",
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},
{
"id": 1054002249262706700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:48:38",
"content": "Okay look bro",
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},
{
"id": 1054002269252747300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:48:43",
"content": "We start with 100 right bro",
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},
{
"id": 1054002297362972700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:48:50",
"content": "100 is 100%",
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},
{
"id": 1054002336206426100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:48:59",
"content": "yes",
"attachments": [],
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},
{
"id": 1054002349137465300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:02",
"content": "It’s even",
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},
{
"id": 1054002356422987900,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:04",
"content": "See",
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},
{
"id": 1054002383132307600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:10",
"content": "100 can be split into 50",
"attachments": [],
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},
{
"id": 1054002402463862900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:49:15",
"content": "divided into 3 every person gets 100/3%",
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},
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"id": 1054002404082856000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:15",
"content": "And nothing is lost",
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},
{
"id": 1054002413645856800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:17",
"content": "We have tjag",
"attachments": [],
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},
{
"id": 1054002520491577500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:43",
"content": "Now divide with 3 people and like split it over and over and over",
"attachments": [],
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},
{
"id": 1054002555308482700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:49:51",
"content": "and still nothing is lost",
"attachments": [],
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},
{
"id": 1054002575613112400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:56",
"content": "Because I thought math is suppose to just like calculate",
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{
"id": 1054002589043273700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:49:59",
"content": "33.333333333",
"attachments": [],
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},
{
"id": 1054002630067769500,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:50:09",
"content": "but that's not all the 3s",
"attachments": [],
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},
{
"id": 1054002655514611700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:50:15",
"content": "there are an infinite number of 3s after the decimal point",
"attachments": [],
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},
{
"id": 1054002853401854100,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:02",
"content": "I know",
"attachments": [],
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},
{
"id": 1054002864915226800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:05",
"content": "So what happens",
"attachments": [],
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},
{
"id": 1054002893293879300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:12",
"content": "When it goes in infinitely",
"attachments": [],
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},
{
"id": 1054002915326566400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:17",
"content": "At what point does it stop",
"attachments": [],
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},
{
"id": 1054002935987703900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:51:22",
"content": "it doesn't",
"attachments": [],
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},
{
"id": 1054002984012488700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:51:33",
"content": "that's the entire concept of infinity",
"attachments": [],
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},
{
"id": 1054003024412020900,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:43",
"content": "Or can you divide 33.33333333 and then the 3s make it whole again",
"attachments": [],
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},
{
"id": 1054003078610821100,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:56",
"content": "Because 10 threes",
"attachments": [],
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},
{
"id": 1054003092854689900,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:51:59",
"content": "Or 3/10ths",
"attachments": [],
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},
{
"id": 1054003114715390000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:52:04",
"content": "Does that make sense?",
"attachments": [],
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},
{
"id": 1054003138119618700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:52:10",
"content": "where is 3/10th coming from",
"attachments": [],
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},
{
"id": 1054003149809123500,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:52:13",
"content": "no it doesn't",
"attachments": [],
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},
{
"id": 1054003297062768800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:52:48",
"content": "It makes a whole number after splitting it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054003342889717900,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:52:59",
"content": "Once you repeat to 10 numbers",
"attachments": [],
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},
{
"id": 1054003358928752800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:53:03",
"content": "Because 10 is even",
"attachments": [],
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},
{
"id": 1054003420400455700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:53:17",
"content": "what",
"attachments": [],
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},
{
"id": 1054003570342637600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:53:53",
"content": "Okay bro why do we lose numbers in math",
"attachments": [],
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},
{
"id": 1054003581155557400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:53:56",
"content": "Is what I’m asking",
"attachments": [],
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},
{
"id": 1054003601267237000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:54:00",
"content": "you're not losing any numbers here",
"attachments": [],
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},
{
"id": 1054003688143863800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:54:21",
"content": "100/3 is exactly equal to 33.333333.. with an infinite amount of 3s",
"attachments": [],
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"reference": null
},
{
"id": 1054003819941462000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:54:53",
"content": "you're asking about why something that doesn't happen is happening :thinkies:",
"attachments": [],
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},
{
"id": 1054003841814765700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:54:58",
"content": "So If you continue to split yoy just end up with more 3s",
"attachments": [],
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},
{
"id": 1054003883963330600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:55:08",
"content": "correct",
"attachments": [],
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},
{
"id": 1054003884793798800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:55:08",
"content": "So it just goes 33.3333333333333333333",
"attachments": [],
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},
{
"id": 1054003924388040700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:55:18",
"content": "Okay but what happens to the 1?",
"attachments": [],
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},
{
"id": 1054004006625751000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:55:37",
"content": "it's the 0.333.. with an infinite number of 3s",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004046199013400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:55:47",
"content": "that multiplied by 3 is exactly equal to 1",
"attachments": [],
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"reference": null
},
{
"id": 1054004116331970600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:56:03",
"content": "Yes but infinite",
"attachments": [],
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},
{
"id": 1054004139128008800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:56:09",
"content": "correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004154076516400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:56:12",
"content": "But if you stop eventually",
"attachments": [],
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},
{
"id": 1054004168563630100,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:56:16",
"content": "Because you have too",
"attachments": [],
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"reference": null
},
{
"id": 1054004200364835000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:56:23",
"content": "no, you don't stop eventually, and you don't have to",
"attachments": [],
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"reference": null
},
{
"id": 1054004208602468400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:56:25",
"content": "because it's infinite",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004280211812500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:56:42",
"content": "But bro",
"attachments": [],
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},
{
"id": 1054004329004146700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:56:54",
"content": "In concept math doesn’t equate for stuff bro I’m saying like",
"attachments": [],
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},
{
"id": 1054004347576533000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:56:58",
"content": "I think I’m stupid but",
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},
{
"id": 1054004376403980300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:05",
"content": "33.33333333",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004412516946000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:14",
"content": "Eventually If you keep repeating",
"attachments": [],
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},
{
"id": 1054004440157405200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:20",
"content": "Math doesn’t equate for the 1",
"attachments": [],
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"reference": null
},
{
"id": 1054004454233493500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:24",
"content": "Like it’s lost on paper",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004456968167400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:57:24",
"content": "you're trying to \"stop\" a process that's infinite\nwell if it stops then it's not infinite now is it",
"attachments": [],
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},
{
"id": 1054004473124618200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:28",
"content": "Because then it’s just 99%",
"attachments": [],
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},
{
"id": 1054004503071961100,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:35",
"content": "99.999999999",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004514073616400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:38",
"content": "Repeating",
"attachments": [],
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"reference": null
},
{
"id": 1054004522323812400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:57:40",
"content": "yes",
"attachments": [],
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},
{
"id": 1054004555148443600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:48",
"content": "Like they both repeat infinitely",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004575113334800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:57:53",
"content": "which equals 99 + 0.999.., do you agree?",
"attachments": [],
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},
{
"id": 1054004590493847600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:57:56",
"content": "So then there’s that other",
"attachments": [],
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},
{
"id": 1054004627915419800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:05",
"content": "Amount that is lost",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004639869190100,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:08",
"content": "And on paper",
"attachments": [],
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"reference": null
},
{
"id": 1054004651382538400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:11",
"content": "It’s not there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004654427623400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:58:12",
"content": "**absolutely nothing is lost**",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004710291558400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:58:25",
"content": "because 0.9999.. with an infinite amount of 9s is **exactly equal to 1**",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004755959124100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:58:36",
"content": "and there are endless proofs of this",
"attachments": [],
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},
{
"id": 1054004770031014000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:39",
"content": "No it’s not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004786325889000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:43",
"content": "That’s just not true",
"attachments": [],
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},
{
"id": 1054004802218119200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:47",
"content": "It is not whole",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004812557062100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:58:49",
"content": "yes it is, you can't disagree with something that's true :KEK:",
"attachments": [],
"mentions": [],
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},
{
"id": 1054004841833308300,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:58:56",
"content": "You cannot evenly split 99",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004892735385600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:59:08",
"content": "why can't you evenly split 99?",
"attachments": [],
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},
{
"id": 1054004920845598700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:59:15",
"content": "33.3333",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004939082440700,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:59:19",
"content": "Can you split 3?",
"attachments": [],
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},
{
"id": 1054004947617861600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:59:21",
"content": "No",
"attachments": [],
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},
{
"id": 1054004965871468500,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:59:26",
"content": "we're not spliting 100 anymore, we're splitting 99",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054004973568020500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 06:59:28",
"content": "Amongst 3 people you can’t",
"attachments": [],
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"reference": null
},
{
"id": 1054004981776273400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 06:59:30",
"content": "so what's wrong with 99 = 3 * 33?",
"attachments": [],
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},
{
"id": 1054005138303504400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:00:07",
"content": "Oh you can split 99 yea",
"attachments": [],
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"reference": null
},
{
"id": 1054005238383788000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:00:31",
"content": "so do you agree that 99.99... = 99 + 0.999.....",
"attachments": [],
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},
{
"id": 1054005397964476500,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:01:09",
"content": "But then math doesn’t equate for the 0.0001",
"attachments": [],
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},
{
"id": 1054005419334443000,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:01:14",
"content": "Because in math it would be",
"attachments": [],
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},
{
"id": 1054005445574000600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:01:20",
"content": "there is no 0.0001\n\nyou have an infinite amount of 0s",
"attachments": [],
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},
{
"id": 1054005477857562600,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:01:28",
"content": "Listen in math it would be",
"attachments": [],
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},
{
"id": 1054005478012747800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:01:28",
"content": "so it's equal to 0",
"attachments": [],
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},
{
"id": 1054005597189701600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:01:56",
"content": "you're not showing the correct understanding of infinities which is why you're getting the wrong idea in the first place :thinkies:",
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},
{
"id": 1054005741377306800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:02:31",
"content": "Is it basic knowledge I’m just stupid right i think",
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"id": 1054005790136094700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:02:42",
"content": "no, the vast majority of population fail at this",
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},
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"id": 1054005931060506600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:03:16",
"content": "because infinities don't happen in real life due to time constraints or limitations of the literal universe",
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},
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"id": 1054006350688043100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:04:56",
"content": "and the moment you try to relate infinities with a real world example you're doomed to fail\n\nsee the recent matt parker video on the amount of people (wrongly) arguing that an infinite number of $20 bills is worth more than an infinite number of $1 bills",
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},
{
"id": 1054007909597577200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:11:08",
"content": "How do you put it on paper",
"attachments": [],
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},
{
"id": 1054007950139740200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:11:17",
"content": "Like on paper it would be 33.33333 repeating",
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},
{
"id": 1054008024005623800,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:11:35",
"content": "But does the 0.0000001 whatever",
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},
{
"id": 1054008025578483800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:11:35",
"content": "just write 100/3 :thinkies:",
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},
{
"id": 1054008053499953200,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:11:42",
"content": "Sit on the side?",
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},
{
"id": 1054008108487290900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:11:55",
"content": "this quantity does not exist because you have an infinite number of 0s",
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{
"id": 1054008246135959600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:12:28",
"content": "there is no leftover :awoogenzoom:",
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},
{
"id": 1054009043427004400,
"author_id": 611081302942416900,
"author_name": "Redz",
"timestamp": "12/18/2022 07:15:38",
"content": "How do toy write it out on paper",
"attachments": [],
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},
{
"id": 1054009388047814700,
"author_id": 268952088564727800,
"author_name": "Transparent_Elemental",
"timestamp": "12/18/2022 07:17:00",
"content": "33.3333... or 33.(3)",
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},
{
"id": 1054011529692983300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:25:31",
"content": "$33.\\overline{3}$",
"attachments": [],
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},
{
"id": 1054011538677186600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 07:25:33",
"content": "**IV**",
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"id": 1054011603370119300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/18/2022 07:25:48",
"content": "also works\ncan also be a dot above the 3 after the decimal ~~but i forgot how to latex that :opencry:~~",
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},
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"id": 1054012862571495600,
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 07:30:49",
"content": "@Redz Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 07:45:49",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5396042c24144bbb999c7468f7cd0f72
|
200,212 |
[
{
"id": 1054016891426975900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 07:46:49",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054019511872917600,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "12/18/2022 07:57:14",
"content": "hello",
"attachments": [],
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},
{
"id": 1054019513898762400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 07:57:14",
"content": "Pinned a message.",
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"id": 1054019515018649700,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
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{
"id": 1054019607511449700,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "12/18/2022 07:57:37",
"content": "partial derivation for x, is the circled part due to 6xy being derivated or 2y^3?",
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},
{
"id": 1054019721474875500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/18/2022 07:58:04",
"content": "6xy",
"attachments": [],
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},
{
"id": 1054019736142368800,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "12/18/2022 07:58:07",
"content": "woah",
"attachments": [],
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},
{
"id": 1054019776462204900,
"author_id": 913475640232149100,
"author_name": "Zvonko Rohatinski",
"timestamp": "12/18/2022 07:58:17",
"content": "howcom,e?",
"attachments": [],
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},
{
"id": 1054019941373849600,
"author_id": 914555403189256200,
"author_name": "melody_",
"timestamp": "12/18/2022 07:58:56",
"content": "Is there anybody available to offer some help? I have my channel open",
"attachments": [],
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},
{
"id": 1054023552757674100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 08:13:17",
"content": "@Zvonko Rohatinski Has your question been resolved?",
"attachments": [],
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"timestamp": "12/18/2022 08:28:18",
"content": "Channel closed",
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}
] |
help-9
|
ef24bfa0c2aa422fa0ccb5f5cea1bcfe
|
200,213 |
[
{
"id": 1054027581936107600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 08:29:18",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1054027791181561900,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:30:08",
"content": "So I don't know why this step is done here in definite integration",
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},
{
"id": 1054027795816255500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 08:30:09",
"content": "Pinned a message.",
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"id": 1054027890985009200,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:30:32",
"content": "So this is the question and the solution",
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},
{
"id": 1054027968080531500,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:30:50",
"content": "In the second line \nHow can you replace x by 1/x",
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},
{
"id": 1054028122418323600,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:31:27",
"content": "Shouldn't it be like a different variable ( i mean i know putting it to other variable would not solve it cuz there would be two variables)",
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},
{
"id": 1054028172074700800,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:31:39",
"content": "But how can suppose 2 be replace by 1/2",
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},
{
"id": 1054028240072753200,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:31:55",
"content": "(Giving an example)",
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{
"id": 1054028305931706400,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:32:11",
"content": "Is it some property of functions?",
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},
{
"id": 1054028687948922900,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 08:33:42",
"content": "Please ping me if you know",
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},
{
"id": 1054029142003286000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/18/2022 08:35:30",
"content": "you can do stuff like this in functional equations",
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 08:48:42",
"content": "@iamnotamerican9 Has your question been resolved?",
"attachments": [],
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"id": 1054035330975670400,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 09:00:05",
"content": "So i can replace any such stuff with anything i desire?",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/18/2022 09:00:46",
"content": "Well as long as it follows the restrictions i think its okay",
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"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 09:01:01",
"content": "Hmm \nMy functions is really weak",
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"id": 1054035607829098500,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 09:01:11",
"content": "Cuz the fx gx stuff confuse me like hell",
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},
{
"id": 1054035691216044000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/18/2022 09:01:31",
"content": "Dw this topic is pretty hard for people whove done functions well too",
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"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 09:01:51",
"content": "Hmm\nThx man for helping",
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"author_name": "iamnotamerican9",
"timestamp": "12/18/2022 09:17:52",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 09:17:53",
"content": "Channel closed",
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}
] |
help-9
|
346d5bab6bbc4f03aa551cc657b130b5
|
200,214 |
[
{
"id": 1054040061202661400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 09:18:53",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1054041073007218800,
"author_id": 617853656137728000,
"author_name": "m1zery",
"timestamp": "12/18/2022 09:22:54",
"content": "hello i need help\nhow did it became sqrt3x",
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"timestamp": "12/18/2022 09:22:55",
"content": "Pinned a message.",
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"id": 1054041174937178200,
"author_id": 617853656137728000,
"author_name": "m1zery",
"timestamp": "12/18/2022 09:23:19",
"content": "since tan60 = sqrt 3",
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},
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"id": 1054042043304923100,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "12/18/2022 09:26:46",
"content": "Plug in the value for h in top equation\nYou get the same thing",
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},
{
"id": 1054043320340459500,
"author_id": 617853656137728000,
"author_name": "m1zery",
"timestamp": "12/18/2022 09:31:50",
"content": "how about this one\nhow did it became 3x at the bottom part",
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"id": 1054043526163345400,
"author_id": 617853656137728000,
"author_name": "m1zery",
"timestamp": "12/18/2022 09:32:39",
"content": "oh nvm",
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},
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"id": 1054043533226561500,
"author_id": 617853656137728000,
"author_name": "m1zery",
"timestamp": "12/18/2022 09:32:41",
"content": "thanks",
"attachments": [],
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},
{
"id": 1054047309220028400,
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 09:47:41",
"content": "@m1zery Has your question been resolved?",
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"timestamp": "12/18/2022 09:47:55",
"content": "Channel closed",
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}
] |
help-9
|
8d67c560a9954794ade8400fd5b55fad
|
200,215 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 09:48:55",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1054051006452863000,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:02:23",
"content": "I need help",
"attachments": [],
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"reference": null
},
{
"id": 1054051009120436200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 10:02:23",
"content": "Pinned a message.",
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"id": 1054051109494325400,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:02:47",
"content": "so it says to round to the nearest hundredth of a percent",
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},
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"id": 1054051127924117500,
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"timestamp": "12/18/2022 10:02:52",
"content": "here is my work",
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},
{
"id": 1054051427955249200,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:04:03",
"content": "234/993 ==> 78/331 ==> 0.23565 ==> 0.24. Therefore my final answer is 0.24 as it asked to round to the nearest hundredth of a percent",
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},
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"id": 1054051516601880600,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:04:24",
"content": "May somebody please verify my work to see if I wrote my final answer as I was supposed to",
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},
{
"id": 1054052425360748500,
"author_id": 1035917542792908800,
"author_name": "kchhdjjbceehhdgj",
"timestamp": "12/18/2022 10:08:01",
"content": "Lol sunil chetri asking meth doubts when world Cup goinon",
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"id": 1054052954841284700,
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"author_name": "Element118",
"timestamp": "12/18/2022 10:10:07",
"content": "that's not to the nearest hundredth of a percent",
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"timestamp": "12/18/2022 10:10:27",
"content": "(if you written as a percentage you would see why)",
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},
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"id": 1054053992944107600,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "12/18/2022 10:14:15",
"content": "do not make off-topic comments in help channels",
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"timestamp": "12/18/2022 10:19:25",
"content": "@Sunil Chhetri Has your question been resolved?",
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"timestamp": "12/18/2022 10:34:25",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
3a4eea3376d040f3b3773ac4d18f881c
|
200,216 |
[
{
"id": 1054059320981065900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 10:35:25",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054061593194930200,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:44:27",
"content": "yeah, I am watching the game too",
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"id": 1054061595086569500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 10:44:27",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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}
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"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:44:40",
"content": "i just had a doubt on this so I decided to ask before watching the game",
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},
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"id": 1054061753618673800,
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"timestamp": "12/18/2022 10:45:05",
"content": "its ok",
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"author_id": 793179894959833200,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "12/18/2022 10:46:20",
"content": "hey, not being rude or anything, but if you're not going to use this channel for help related content, please close it so someone who needs it may use it",
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},
{
"id": 1054062152895434800,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:46:40",
"content": "?",
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"name": "¯\\_(ツ)_/¯",
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}
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},
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"id": 1054062203076096000,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:46:52",
"content": "@Element118 has not asked my question fully bro",
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"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:47:11",
"content": "@Element118 how do I write it as a percentage? and what would I get?",
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"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:47:19",
"content": "if somebody else knows please help me.",
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},
{
"id": 1054062344679989200,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:47:26",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1054051037989830836/image.png",
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},
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"id": 1054062704639365100,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "12/18/2022 10:48:52",
"content": "0.1 = 10%",
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},
{
"id": 1054062801410330800,
"author_id": 793179894959833200,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "12/18/2022 10:49:15",
"content": "We can see that the total number of people in the sample is 993, and since they're asking specifically for the people who would track their portfolio daily, the number would be 234. So to work out the percentage it would be (234/993) x 100",
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"id": 1054063227916525600,
"author_id": 793179894959833200,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "12/18/2022 10:50:57",
"content": "does that make sense? @Sunil Chhetri",
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"id": 1054063338742616200,
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"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:51:23",
"content": "ths",
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"id": 1054063344224587900,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:51:24",
"content": "thx",
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},
{
"id": 1054063357986086900,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:51:28",
"content": "thx",
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"id": 1054063630062203000,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:52:32",
"content": "24.471299......\nso that would be rounded to the nearest hundredth be 24.47%?",
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"id": 1054063641168707600,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:52:35",
"content": "@¯\\_(ツ)_/¯",
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"name": "¯\\_(ツ)_/¯",
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"id": 1054063732600348700,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "12/18/2022 10:52:57",
"content": ",calc 234/993",
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},
{
"id": 1054063734248710100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 10:52:57",
"content": "Result:\n```\n0.23564954682779\n```",
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},
{
"id": 1054063738384285800,
"author_id": 793179894959833200,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "12/18/2022 10:52:58",
"content": "i got 23.5649...",
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},
{
"id": 1054063818550022300,
"author_id": 104219409991626750,
"author_name": "Element118",
"timestamp": "12/18/2022 10:53:17",
"content": "so, written as a percentage?",
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},
{
"id": 1054063867073933300,
"author_id": 793179894959833200,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "12/18/2022 10:53:29",
"content": "to the nearest?",
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},
{
"id": 1054063995100868600,
"author_id": 793179894959833200,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "12/18/2022 10:53:59",
"content": "hundredth would be - 23.56%",
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"reference": null
},
{
"id": 1054064712989540400,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:56:51",
"content": "oh yes",
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"id": 1054064718773502100,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:56:52",
"content": "it is",
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"reference": null
},
{
"id": 1054064748209127400,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 10:56:59",
"content": "woah the bot is cool 👀",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054064767507124400,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:57:04",
"content": "i typed in 243 instead of 234 in the calculator",
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},
{
"id": 1054064864416514200,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:57:27",
"content": "so I am getting the same @¯\\_(ツ)_/¯ which is 23.56% so thanks",
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"id": 1054064883672563800,
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"timestamp": "12/18/2022 10:57:31",
"content": "no problem",
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},
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"id": 1054064900974063600,
"author_id": 936816135830114300,
"author_name": "Sunil Chhetri",
"timestamp": "12/18/2022 10:57:35",
"content": "and also thanks to @Element118",
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 11:12:36",
"content": "@Sunil Chhetri Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 11:27:36",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
0024ceb9f05e4535bea43f6bb7af78fe
|
200,217 |
[
{
"id": 1054072706158571600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 11:28:36",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054074342004248700,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:35:06",
"content": "can someone pls explain me how did they get the last line",
"attachments": [
{
"id": 1054074341723226200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054074341723226203/Screenshot_1057.png",
"fileName": "Screenshot_1057.png",
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}
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},
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"id": 1054074344608895000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 11:35:07",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1054074947657535500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/18/2022 11:37:31",
"content": "They just simplified",
"attachments": [],
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"reference": null
},
{
"id": 1054075148212392000,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:38:19",
"content": "i'm not understand how did they do it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054075162254901400,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:38:22",
"content": "can u pls explain",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054075436289765400,
"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "12/18/2022 11:39:27",
"content": "$\\frac{1}{\\cancelto{1}{3}}\\cdot \\frac{-\\cancelto{1}{3}x}{4} = -\\frac{x}{4}$",
"attachments": [],
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},
{
"id": 1054075446892966000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 11:39:30",
"content": "**Kookiemon**",
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{
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},
{
"id": 1054075460964860000,
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"author_name": "heavy",
"timestamp": "12/18/2022 11:39:33",
"content": "",
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},
{
"id": 1054075532855230500,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:39:50",
"content": "ohhhh okokkk i got it noww",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054075542351138800,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:39:53",
"content": "thanksss",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054075580162789400,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:40:02",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1054075582847127600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 11:40:02",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c7d6f48680f1403ba4bf8e58ee38e8a3
|
200,218 |
[
{
"id": 1054076020086542300,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:41:46",
"content": ".reopen",
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"reference": null
},
{
"id": 1054076025543348200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 11:41:48",
"content": "✅",
"attachments": [],
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},
{
"id": 1054076086692106400,
"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 11:42:02",
"content": "wait... i got the first one but now the second one looks a bit confusing..",
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},
{
"id": 1054079431695663100,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/18/2022 11:55:20",
"content": "oh my god, I thought those were $y_3$`s, but its actually $\\frac{1}{3}$",
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"reference": null
},
{
"id": 1054079441522933900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/18/2022 11:55:22",
"content": "**Jigglyproff**",
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"author_name": "j ☽",
"timestamp": "12/18/2022 11:57:06",
"content": "yepp",
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"author_name": "Jigglyproff",
"timestamp": "12/18/2022 12:01:44",
"content": "how much is confusing there? expanding 2! to 4, you can cancel a bunch of divisions out",
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"content": "ohhh rightt",
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"timestamp": "12/18/2022 12:03:48",
"content": "thanksss",
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},
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"content": ".colse",
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"author_id": 858999505923473400,
"author_name": "j ☽",
"timestamp": "12/18/2022 12:03:59",
"content": ".close",
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},
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"id": 1054081613614559200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 12:04:00",
"content": "Channel closed",
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}
] |
help-9
|
857f0f3067114468bb685295ffe9955d
|
200,219 |
[
{
"id": 1054085747541553200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 12:20:26",
"content": "Available help channel!",
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},
{
"id": 1054087387896086500,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:26:57",
"content": "hi guys, how can i resolve this ecuation?",
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"timestamp": "12/18/2022 12:26:57",
"content": "Pinned a message.",
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"id": 1054088100764201000,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:29:47",
"content": "so if you do",
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},
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"id": 1054088140027084900,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:29:56",
"content": "e^ lnx = e^ (x-1)",
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},
{
"id": 1054088208159363100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:30:12",
"content": "which is equal since base is equal and lnx and (x-1) is same",
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},
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"id": 1054088252128231600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:30:23",
"content": "e^lnx can be simplified to x right",
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},
{
"id": 1054088532697813100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:31:30",
"content": "so the equation becomes x= e^(x-1)",
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},
{
"id": 1054088585474744400,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:31:42",
"content": "basically here",
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},
{
"id": 1054088620870479900,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:31:51",
"content": "the only number that will ever suit",
"attachments": [],
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},
{
"id": 1054088628298584000,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:31:53",
"content": "is 1",
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},
{
"id": 1054088657658724600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:32:00",
"content": "so x = 1",
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},
{
"id": 1054088840907849900,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:32:43",
"content": "tbh, however",
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},
{
"id": 1054088896834703400,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:32:57",
"content": "knowing that log base anything 1 = 0",
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},
{
"id": 1054088977247895600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:33:16",
"content": "x is just 1",
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},
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"id": 1054089263844700200,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:34:24",
"content": "since 1-1=0",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 12:41:57",
"content": "@Pablin Has your question been resolved?",
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"id": 1054091367288144000,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:42:46",
"content": "so",
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"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:42:53",
"content": "in e^(x-1)",
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},
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"id": 1054091509139513500,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:43:19",
"content": "this x-1, need to be x-1=0-> x=1",
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},
{
"id": 1054091553435553900,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:43:30",
"content": "and x=e^0??",
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},
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"id": 1054091572293144700,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:43:34",
"content": "srry bad english",
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},
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"id": 1054091669257076700,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:43:58",
"content": "@starlight",
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},
{
"id": 1054091796147343400,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:44:28",
"content": "basically e^0 equals 1 right",
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},
{
"id": 1054091809812394100,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:44:31",
"content": "so if x=1",
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},
{
"id": 1054091866389352600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:44:45",
"content": "the equation is 1 = e^0",
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},
{
"id": 1054091871829372900,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:44:46",
"content": "1=1",
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},
{
"id": 1054091895778852900,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "12/18/2022 12:44:52",
"content": "which is a correct equation",
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"id": 1054093284902961200,
"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:50:23",
"content": "alrightt",
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"author_id": 942510377428729900,
"author_name": "Pablin",
"timestamp": "12/18/2022 12:50:27",
"content": "thank u! @starlight",
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"timestamp": "12/18/2022 13:20:28",
"content": "@Pablin Has your question been resolved?",
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"timestamp": "12/18/2022 13:20:36",
"content": "Channel closed",
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}
] |
help-9
|
d29e89cb183745acac3350057da4d416
|
200,220 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 13:21:36",
"content": "Available help channel!",
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},
{
"id": 1054102216652370000,
"author_id": 419690684988260350,
"author_name": "Cacao_Yolk",
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"content": "Pinned a message.",
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"author_id": 419690684988260350,
"author_name": "Cacao_Yolk",
"timestamp": "12/18/2022 13:26:02",
"content": "How do I find those two probability ?",
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},
{
"id": 1054103594938405000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/18/2022 13:31:21",
"content": "Do you know what absolute value of z means?",
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"author_id": 419690684988260350,
"author_name": "Cacao_Yolk",
"timestamp": "12/18/2022 13:31:32",
"content": "nope",
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},
{
"id": 1054103850308612200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/18/2022 13:32:22",
"content": "https://youtu.be/3LN0IDooaIE",
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},
{
"id": 1054103901449764900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/18/2022 13:32:34",
"content": "Watch that until you do. Don't need to watch the whole thing",
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},
{
"id": 1054103965165428700,
"author_id": 419690684988260350,
"author_name": "Cacao_Yolk",
"timestamp": "12/18/2022 13:32:49",
"content": "I understand absolute value",
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},
{
"id": 1054104017585852500,
"author_id": 419690684988260350,
"author_name": "Cacao_Yolk",
"timestamp": "12/18/2022 13:33:02",
"content": "I do not understand how it is used in stats tho",
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},
{
"id": 1054104590175453200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/18/2022 13:35:18",
"content": "P(|z| < a) = P(-a < z < a)",
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},
{
"id": 1054104834208432100,
"author_id": 419690684988260350,
"author_name": "Cacao_Yolk",
"timestamp": "12/18/2022 13:36:16",
"content": "So you have to add the probability of negative z score as well?",
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},
{
"id": 1054108610432598000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 13:51:17",
"content": "@Cacao_Yolk Has your question been resolved?",
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"timestamp": "12/18/2022 14:30:25",
"content": "@Cacao_Yolk Has your question been resolved?",
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"timestamp": "12/18/2022 15:00:25",
"content": "Channel closed",
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}
] |
help-9
|
d313c2a23d6a4de9b8fe83cd4a7f1d02
|
200,221 |
[
{
"id": 1034691053573382100,
"author_id": 683806442012409900,
"author_name": "camcam123",
"timestamp": "10/26/2022 00:52:50",
"content": "and then you close it when I need help",
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"content": "Available help channel!",
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},
{
"id": 1034692580874653800,
"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 00:58:54",
"content": "Hello can anybody do this?",
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},
{
"id": 1034692582778871900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 00:58:55",
"content": "Pinned a message.",
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"id": 1034692613632176100,
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"timestamp": "10/26/2022 00:59:02",
"content": "It’s so confusing",
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},
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"id": 1034692783300169700,
"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 00:59:43",
"content": "And an explanation if possible",
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},
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"id": 1034693993495269500,
"author_id": 235298661150490620,
"author_name": "sean kingston",
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"id": 1034694062688718800,
"author_id": 235298661150490620,
"author_name": "sean kingston",
"timestamp": "10/26/2022 01:04:48",
"content": "they added a c which shouldnt be there",
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},
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"id": 1034694919954124800,
"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 01:08:12",
"content": "Ohhh",
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},
{
"id": 1034694949515563000,
"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 01:08:19",
"content": "Why is it an error?",
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},
{
"id": 1034695009506709500,
"author_id": 235298661150490620,
"author_name": "sean kingston",
"timestamp": "10/26/2022 01:08:33",
"content": "wdym",
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},
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"id": 1034695063646785500,
"author_id": 235298661150490620,
"author_name": "sean kingston",
"timestamp": "10/26/2022 01:08:46",
"content": "it should be 11ab^3 but they put 11ab^3c",
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},
{
"id": 1034695695493496800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "10/26/2022 01:11:17",
"content": "Haha didn't see it",
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"id": 1034695810073514000,
"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 01:11:44",
"content": "Oh right",
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},
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"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 01:12:00",
"content": "And the correct solution is 11ab^3?",
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"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 01:27:00",
"content": "@al’faro Has your question been resolved?",
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"timestamp": "10/26/2022 01:28:07",
"content": "Channel closed",
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}
] |
help-9
|
40eaececa7fc4f299f9eedd6774908ae
|
200,222 |
[
{
"id": 1054126263360573400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 15:01:25",
"content": "Available help channel!",
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},
{
"id": 1054126538196529200,
"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:02:31",
"content": "hello",
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},
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"id": 1054126540830552000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 15:02:32",
"content": "Pinned a message.",
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"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:02:34",
"content": "a simple question",
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"author_name": "Armin Saiury Crocky",
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"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:03:50",
"content": "whats this process called in english where you do the derivatives and try to find different points and see if its max/min ?",
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"id": 1054126941306888300,
"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:04:07",
"content": "and also all the other things you can identify",
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},
{
"id": 1054126979923845100,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/18/2022 15:04:16",
"content": "first and second derivative tests?",
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},
{
"id": 1054127007564304500,
"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:04:23",
"content": "surely there is a term for this part of math",
"attachments": [],
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},
{
"id": 1054127061574357000,
"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:04:36",
"content": "i wanted to look it up on youtube",
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},
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"id": 1054127064074158100,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/18/2022 15:04:36",
"content": "Extrempunkanalyse in englisch?",
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},
{
"id": 1054127112417718300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/18/2022 15:04:48",
"content": "It's first and second derivative tests",
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},
{
"id": 1054127176221470800,
"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:05:03",
"content": "well i googled kurvendiskussion for the german word, but perhaps extrempunktanalyse would also work",
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"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:05:17",
"content": "but it could also be 3rd derivative couldnt it",
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"author_name": "Jigglyproff",
"timestamp": "12/18/2022 15:05:53",
"content": "ich denke derivative tests gibt so etwa das was du willst",
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"timestamp": "12/18/2022 15:05:56",
"content": "First and second derivative tests are sufficient enough of a definition to be a search term",
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"id": 1054127680376819800,
"author_id": 549291393923809300,
"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:07:03",
"content": "dankeschön",
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"author_name": "Armin Saiury Crocky",
"timestamp": "12/18/2022 15:07:33",
"content": "thank you",
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"timestamp": "12/18/2022 15:07:35",
"content": ".close",
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"timestamp": "12/18/2022 15:07:36",
"content": "Channel closed",
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}
] |
help-9
|
5d97491901f64261bc2142202e68ab45
|
200,223 |
[
{
"id": 1054129070713081900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 15:12:35",
"content": "Available help channel!",
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{
"id": 1054130114494992500,
"author_id": 661612526865219600,
"author_name": "call me skin",
"timestamp": "12/18/2022 15:16:44",
"content": "Is this correct?",
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"id": 1054130116059476100,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 15:31:49",
"content": "@call me skin Has your question been resolved?",
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"timestamp": "12/18/2022 15:32:54",
"content": "@Helpers",
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"id": 1054141733933424800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 16:02:54",
"content": "@call me skin Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "12/18/2022 17:02:59",
"content": "@call me skin Has your question been resolved?",
"attachments": [],
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"timestamp": "12/18/2022 19:03:06",
"content": "@call me skin Has your question been resolved?",
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"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/18/2022 22:36:28",
"content": "Looks correct to me",
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"id": 1054240891281354800,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/18/2022 22:36:55",
"content": "Haven't checked the whole computation, the process is indeed correct",
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"timestamp": "12/18/2022 23:56:55",
"content": "@call me skin Has your question been resolved?",
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"timestamp": "12/19/2022 03:56:56",
"content": "Channel closed",
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}
] |
help-9
|
eb9f4605f9cc418e914f9c1327d2a7a0
|
200,224 |
[
{
"id": 1054321676516606000,
"author_id": 805217272087838700,
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"timestamp": "12/19/2022 03:57:56",
"content": "Available help channel!",
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{
"id": 1054328620715364500,
"author_id": 656353669675089900,
"author_name": "solomoncyj",
"timestamp": "12/19/2022 04:25:31",
"content": "how do you simplyfy rhis?\n(n+1),(n+2),(n+3),(n+4),...",
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"id": 1054328712801288200,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/19/2022 04:25:53",
"content": "what is the , supposed to represent?",
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},
{
"id": 1054329232584605700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/19/2022 04:27:57",
"content": "Is that product or a sequence?",
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"id": 1054329257205178400,
"author_id": 656353669675089900,
"author_name": "solomoncyj",
"timestamp": "12/19/2022 04:28:03",
"content": "sequence",
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},
{
"id": 1054329418140614700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/19/2022 04:28:41",
"content": "kth term is just n + k, no? (k starting at 1)",
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"id": 1054329609325400000,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/19/2022 04:29:27",
"content": "a sequance of n_(n+1)=n_n+n?",
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{
"id": 1054329632167571500,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/19/2022 04:29:32",
"content": "since u wrote it in n for some reason",
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"id": 1054329899869024300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/19/2022 04:30:36",
"content": "Given there's j terms:\nΣ n + k\n= Σ n + Σ k\n= nj + j(j+1)/2",
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"id": 1054329951601569900,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/19/2022 04:30:48",
"content": "Why'd you use n to represent the sequence if it's already used?",
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"id": 1054329992890298500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/19/2022 04:30:58",
"content": "Or wait, mb\nThat edit should look better",
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"author_name": "Jigglyproff",
"timestamp": "12/19/2022 04:37:05",
"content": "so is your question answered?",
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"timestamp": "12/19/2022 04:43:03",
"content": "@solomoncyj Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
15ff2405ddcd4a24be29da78ae862c1e
|
200,225 |
[
{
"id": 1054333538792648700,
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"timestamp": "12/19/2022 04:45:04",
"content": "Available help channel!",
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"id": 1054333988577230800,
"author_id": 588354445474005000,
"author_name": "enviableleader",
"timestamp": "12/19/2022 04:46:51",
"content": "there are 6 men and 5 women, you have to form a group of 5 peope, what is the chance that the majority are men?",
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"id": 1054333990775029800,
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"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/19/2022 04:52:31",
"content": "where are you at\n`1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above`",
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"content": "6",
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"id": 1054336277140492300,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "12/19/2022 04:55:57",
"content": "do you know where to begin?",
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"timestamp": "12/19/2022 04:57:17",
"content": "That's a really handy checklist and I ought to start doing that",
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"timestamp": "12/19/2022 05:09:55",
"content": "@enviableleader Has your question been resolved?",
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"timestamp": "12/19/2022 05:24:55",
"content": "Channel closed",
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] |
help-9
|
3488862e24d144beba7b0c4cb86abe4c
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200,226 |
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"content": "Available help channel!",
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},
{
"id": 1054343977341554700,
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 05:26:33",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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{
"id": 1054344042147762200,
"author_id": 977198106774995100,
"author_name": "august",
"timestamp": "12/19/2022 05:26:48",
"content": "i want help in first one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054347817960886300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 05:41:48",
"content": "@august Has your question been resolved?",
"attachments": [],
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{
"id": 1054348276259901600,
"author_id": 977198106774995100,
"author_name": "august",
"timestamp": "12/19/2022 05:43:37",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1054351346519777300,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "12/19/2022 05:55:49",
"content": "I hope you know how to calculate f(x) = sum r=1 to +infty x^r if |x| < 1 so you know how to do the 2nd part of the sum. For the first part of the sum, calculate f'(x) in two different ways.",
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},
{
"id": 1054351545019408400,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "12/19/2022 05:56:37",
"content": "Tag me if you still need help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054351916450201600,
"author_id": 977198106774995100,
"author_name": "august",
"timestamp": "12/19/2022 05:58:05",
"content": "how to calculate 2r-1 to infinity",
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{
"id": 1054352143349465100,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "12/19/2022 05:58:59",
"content": "Separate your sum : 2 sum of r*(9/11)^r - sum of (9/11)^r",
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},
{
"id": 1054352256230772700,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "12/19/2022 05:59:26",
"content": "These are the two parts i am referring to in my previous answer",
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},
{
"id": 1054359467149504500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 06:28:06",
"content": "@august Has your question been resolved?",
"attachments": [],
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"id": 1054360217288196100,
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"author_name": "august",
"timestamp": "12/19/2022 06:31:04",
"content": "ok i got it",
"attachments": [],
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},
{
"id": 1054360227388067800,
"author_id": 977198106774995100,
"author_name": "august",
"timestamp": "12/19/2022 06:31:07",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054360239299895300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 06:31:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5e47af4f3d8041f2ac8a811f891b5e84
|
200,227 |
[
{
"id": 1054360492619083800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 06:32:10",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054361156103450800,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 06:34:48",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054361155763707984/image.png",
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"id": 1054361160008351900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 06:34:49",
"content": "Pinned a message.",
"attachments": [],
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"id": 1054361178626871300,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 06:34:54",
"content": "Im on the final bit",
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"mentions": [],
"reference": null
},
{
"id": 1054361224000835700,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 06:35:04",
"content": "I know P(B and D and O) = 2/5",
"attachments": [],
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},
{
"id": 1054361262601031700,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 06:35:14",
"content": "P(B or D or O) = 59/60",
"attachments": [],
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},
{
"id": 1054361348290662400,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 06:35:34",
"content": "But I dont know how to work out P(B and D and O | B or D or O)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054365124330278900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 06:50:34",
"content": "@Rahool Has your question been resolved?",
"attachments": [],
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"name": "Rahool",
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{
"id": 1054369168947941400,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:06:39",
"content": "hmm wait let me just try",
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},
{
"id": 1054369850883051500,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:09:21",
"content": "im getting 5/12",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054369878649348200,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:09:28",
"content": "is that the answer?",
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},
{
"id": 1054369891064488100,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:09:31",
"content": "@Rahool",
"attachments": [],
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{
"id": 1054369935238905900,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:09:41",
"content": "yh",
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},
{
"id": 1054370780630241300,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:13:03",
"content": "how did u do it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054371738726694900,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:16:51",
"content": "@GameSwitch",
"attachments": [],
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},
{
"id": 1054373309493555200,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:23:06",
"content": "oh k",
"attachments": [],
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"reference": null
},
{
"id": 1054373320692334700,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:23:08",
"content": "1 min",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054377834375811200,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:41:05",
"content": "",
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{
"id": 1054377874834071700,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:41:14",
"content": "explanation 👆",
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},
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"id": 1054377888025149400,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:41:17",
"content": "@Rahool",
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"id": 1054378827029160100,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:45:01",
"content": "How did u get 7/15",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054378847304437800,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:45:06",
"content": "I keep on getting 7/12",
"attachments": [],
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},
{
"id": 1054379114607415300,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:46:10",
"content": "@GameSwitch",
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},
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"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:46:21",
"content": "Im legit putting in ur numbers and im not getting 7/15",
"attachments": [],
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},
{
"id": 1054379369742745700,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:47:11",
"content": "wth",
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},
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"id": 1054379502546976800,
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"author_name": "Rahool",
"timestamp": "12/19/2022 07:47:42",
"content": "",
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"id": 1054379742893178900,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:48:40",
"content": "oooof",
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},
{
"id": 1054379755916501100,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:48:43",
"content": "my bad",
"attachments": [],
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},
{
"id": 1054379765458546700,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:48:45",
"content": "its 7/12",
"attachments": [],
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},
{
"id": 1054379810304036900,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:48:56",
"content": "But then that gives u the wrong answer?",
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},
{
"id": 1054379811151290400,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:48:56",
"content": "the answer i wrote is 5/12 tho",
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},
{
"id": 1054379826531807200,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:49:00",
"content": "oh",
"attachments": [],
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},
{
"id": 1054379888934666400,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:49:14",
"content": "i calculated it properly",
"attachments": [],
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},
{
"id": 1054379984636100700,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:49:37",
"content": "i accidentally typed 5 instead of 2",
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"reference": null
},
{
"id": 1054380019151011800,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:49:45",
"content": "Ok cool",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054380036075032700,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:49:50",
"content": "I have 1 more question",
"attachments": [],
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"reference": null
},
{
"id": 1054380062130045000,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:49:56",
"content": "yes?",
"attachments": [],
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},
{
"id": 1054380101904633900,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:50:05",
"content": "",
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},
{
"id": 1054381130851287000,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:54:11",
"content": "Im stuck on P(A|B)",
"attachments": [],
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},
{
"id": 1054381132067635300,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/19/2022 07:54:11",
"content": "hmm",
"attachments": [],
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},
{
"id": 1054381151504044000,
"author_id": 384776651336187900,
"author_name": "Rahool",
"timestamp": "12/19/2022 07:54:15",
"content": "Thats the only thing I need",
"attachments": [],
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"reference": null
},
{
"id": 1054388702132043900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 08:24:16",
"content": "@Rahool Has your question been resolved?",
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},
{
"id": 1054394130354159700,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/19/2022 08:45:50",
"content": "you have to find P(B^c | A)",
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},
{
"id": 1054394297794961400,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/19/2022 08:46:30",
"content": "P(B^c | A) = 1 - P(B | A), find P(B | A) using Bayes formula",
"attachments": [],
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},
{
"id": 1054394311896211500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/19/2022 08:46:33",
"content": "Profit?",
"attachments": [],
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"reference": null
},
{
"id": 1054396253896724500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 08:54:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c50272d7c94d45f68010149a0a35d7d2
|
200,228 |
[
{
"id": 1054396505995346000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 08:55:16",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054398055631311000,
"author_id": 1023896022763716600,
"author_name": "P2WWhale",
"timestamp": "12/19/2022 09:01:26",
"content": "",
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},
{
"id": 1054398058122715300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 09:01:26",
"content": "Pinned a message.",
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"author_id": 1023896022763716600,
"author_name": "P2WWhale",
"timestamp": "12/19/2022 09:02:36",
"content": "how did they get 1/5? when 4/5 + 3/5 is 7/5- Also what derative should i learn prior to help me with problems liek this",
"attachments": [],
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},
{
"id": 1054398574521233400,
"author_id": 345142826872340500,
"author_name": "DieterBowlin",
"timestamp": "12/19/2022 09:03:29",
"content": "its 2 * (-2/5) = -4/5",
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},
{
"id": 1054398720654979100,
"author_id": 345142826872340500,
"author_name": "DieterBowlin",
"timestamp": "12/19/2022 09:04:04",
"content": "you did 2 * (2/5), but there is a minus in front of 2/5",
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},
{
"id": 1054399658383904800,
"author_id": 864110921857105900,
"author_name": "Rocky Op",
"timestamp": "12/19/2022 09:07:48",
"content": "hi",
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},
{
"id": 1054399692877873300,
"author_id": 864110921857105900,
"author_name": "Rocky Op",
"timestamp": "12/19/2022 09:07:56",
"content": "pls can anyone teach me maths",
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},
{
"id": 1054400021564510300,
"author_id": 913540108442042400,
"author_name": "ayushch80",
"timestamp": "12/19/2022 09:09:14",
"content": "#❓how-to-get-help",
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"content": "@P2WWhale Has your question been resolved?",
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] |
help-9
|
0312cd6789f44c95910cd29767a825c0
|
200,229 |
[
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"content": "okay so",
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"content": "hmm",
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},
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"id": 1054409549274173400,
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"content": "have you done anything yet?",
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"content": "@bao2336 ^",
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"content": ",rotate",
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"content": "i could send the solⁿ but i wanted to see if they've done anything yet",
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"content": "Channel closed",
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}
] |
help-9
|
32e4d561d44543b38b0581edcc87385f
|
200,230 |
[
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"timestamp": "12/19/2022 10:15:45",
"content": "Available help channel!",
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},
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"id": 1054417792784416800,
"author_id": 869395681683587100,
"author_name": "Joshii",
"timestamp": "12/19/2022 10:19:51",
"content": "what is i2 and i1",
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"id": 1054418591438618600,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/19/2022 10:23:02",
"content": "Intensities of sounds 1 and 2",
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},
{
"id": 1054418884947615700,
"author_id": 869395681683587100,
"author_name": "Joshii",
"timestamp": "12/19/2022 10:24:12",
"content": "what would they be in this case?",
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},
{
"id": 1054418923254202400,
"author_id": 869395681683587100,
"author_name": "Joshii",
"timestamp": "12/19/2022 10:24:21",
"content": "why isnt it 60/30",
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},
{
"id": 1054422699566452700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 10:39:21",
"content": "@Joshii Has your question been resolved?",
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{
"id": 1054428936286765200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/19/2022 11:04:08",
"content": "Intensity level of a sound = 10*log_10(Intensity of sound/Intensity of the threshold of hearing )",
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"author_name": "SilverSoldier",
"timestamp": "12/19/2022 11:05:28",
"content": "Threshold of hearing is a constant, I believe usually taken to be 10^(-12) W/m²",
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"content": "@Joshii Has your question been resolved?",
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"timestamp": "12/19/2022 11:15:45",
"content": "Channel closed",
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}
] |
help-9
|
4763eea7a965411085f17422e5f24b1d
|
200,231 |
[
{
"id": 1054434374575194200,
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"timestamp": "12/19/2022 11:25:45",
"content": "Available help channel!",
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"id": 1054435053331030100,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:28:27",
"content": "i need to solve these with first principles rule",
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"id": 1054436872421646500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:35:40",
"content": "solve?",
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"id": 1054436889144336500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:35:44",
"content": "theyre functions",
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},
{
"id": 1054437134485962900,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:36:43",
"content": "find f(x)",
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},
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"id": 1054437149870665900,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:36:47",
"content": "i said it wrong",
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},
{
"id": 1054437172448608300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:36:52",
"content": "fx is given",
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},
{
"id": 1054437257521672200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:37:12",
"content": "what do you mean find?",
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},
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"id": 1054437282851078300,
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"content": "",
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"id": 1054437424316563500,
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"author_name": "jan Niku",
"timestamp": "12/19/2022 11:37:52",
"content": "oh f'",
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},
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"id": 1054437438099034200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:37:55",
"content": "what have you tried",
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},
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"id": 1054437571125588000,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:38:27",
"content": "im supposed to plug in x+h into f(x+h) i think",
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"id": 1054437611810332700,
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"author_name": "jan Niku",
"timestamp": "12/19/2022 11:38:37",
"content": "sure",
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"id": 1054437696174575700,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:38:57",
"content": "with the formula f(x+h)-f(x)/h",
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"id": 1054437742882324500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:39:08",
"content": "whered u get stuck",
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},
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"id": 1054437773488164900,
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"author_name": "some random boi",
"timestamp": "12/19/2022 11:39:15",
"content": "plugging it in",
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},
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"id": 1054437788080152600,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:39:19",
"content": "ik how to solve it",
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},
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"id": 1054437797852881000,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:39:21",
"content": "idk whats what",
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},
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"id": 1054437833475113100,
"author_id": 411521053924392960,
"author_name": "some random boi",
"timestamp": "12/19/2022 11:39:30",
"content": "like what goes where",
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},
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"id": 1054437919907139700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:39:50",
"content": "well f(x+h) is just plugging in x+h into f(x)",
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"id": 1054438005907148800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:40:11",
"content": "then you gotta take $\\lim _{h\\to 0} \\frac{f(x+h)-f(x)}{h}$",
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"id": 1054438080771276800,
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"timestamp": "12/19/2022 11:40:28",
"content": "**jan Niku**",
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"timestamp": "12/19/2022 11:41:01",
"content": "so literally plug x+h?",
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"id": 1054438242314895400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "12/19/2022 11:41:07",
"content": "yea",
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"id": 1054438371382018200,
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"author_name": "some random boi",
"timestamp": "12/19/2022 11:41:38",
"content": "thanks",
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},
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"id": 1054442148134670300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 11:56:38",
"content": "@some random boi Has your question been resolved?",
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"timestamp": "12/19/2022 12:11:38",
"content": "Channel closed",
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}
] |
help-9
|
190d2f0431114d25b87d1807130cfd9a
|
200,232 |
[
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"id": 1034699980830671000,
"author_id": 934158195465801900,
"author_name": "al’faro",
"timestamp": "10/26/2022 01:28:19",
"content": "Thank you also ⭐️",
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"content": "Available help channel!",
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},
{
"id": 1034700831762698200,
"author_id": 745173706589995000,
"author_name": "cammy",
"timestamp": "10/26/2022 01:31:42",
"content": "descrete maths question",
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},
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"timestamp": "10/26/2022 01:31:42",
"content": "Pinned a message.",
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"id": 1034701062889807900,
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"id": 1034701117168287700,
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"timestamp": "10/26/2022 01:32:50",
"content": "what dose [c] mean",
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},
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"id": 1034701183195041800,
"author_id": 745173706589995000,
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"timestamp": "10/26/2022 01:33:05",
"content": "?",
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"timestamp": "10/26/2022 01:48:06",
"content": "@cammy Has your question been resolved?",
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"timestamp": "10/26/2022 01:50:02",
"content": "@Helpers",
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},
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"id": 1034707700975673300,
"author_id": 215579627719098370,
"author_name": "void",
"timestamp": "10/26/2022 01:58:59",
"content": "It means an equivalence class",
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"id": 1034708118485090300,
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"timestamp": "10/26/2022 02:00:39",
"content": "Basically a set of everything equivalent to c",
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"timestamp": "10/26/2022 02:20:02",
"content": "@cammy Has your question been resolved?",
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"content": "Channel closed",
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help-9
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6f4e78ae669e48c4a201c72d3269ffce
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200,233 |
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"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 12:27:26",
"content": "Available help channel!",
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},
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"content": "I made a mistake with making the whole thing equal to zero",
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"id": 1054450236388552700,
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"timestamp": "12/19/2022 12:28:47",
"content": "But before that step",
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"content": "How would I go about solving it",
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"content": "When I graph it on desmos, as x approaches 0 it should approach 1",
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"timestamp": "12/19/2022 12:30:07",
"content": "If I keep applying hopitals rule it just keeps repeating indeterminate forms",
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"id": 1054452168347898000,
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"timestamp": "12/19/2022 12:36:27",
"content": "Maybe make it the other way around?",
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"id": 1054452280176410800,
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"timestamp": "12/19/2022 12:36:54",
"content": "Yeah im running thru that version right now",
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"timestamp": "12/19/2022 12:36:57",
"content": "Its looking promising",
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"author_name": "VulcanOne",
"timestamp": "12/19/2022 12:37:19",
"content": "$\\frac{\\ln(x)}{\\frac{1}{8\\sin(x)}}$",
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"id": 1054452395523985400,
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"timestamp": "12/19/2022 12:37:21",
"content": "**VulcanOne**",
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"timestamp": "12/19/2022 12:38:01",
"content": "After applying L'hopital's rule, do some manipulating and you should get your answer hopefully",
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"timestamp": "12/19/2022 12:38:16",
"content": "Yeah it works thanks man",
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"timestamp": "12/19/2022 12:38:22",
"content": ":librasmile:",
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"timestamp": "12/19/2022 12:38:29",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
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fb0ca706de56435b8f5836c598ba21a4
|
200,234 |
[
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"timestamp": "12/19/2022 12:39:30",
"content": "Available help channel!",
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"author_name": "Mehdi_Moulati",
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"content": "\\begin{align*}\n\\lim_{x \\to 0^+} x^{8\\sin(x)} \n&= \\lim_{x \\to 0^+} e^{8\\sin(x)\\ln(x)}\\\\\n&= \\lim_{x \\to 0^+} e^{8\\frac{\\sin(x)}{x}\\* x\\ln(x)}\n\\end{align*}",
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"timestamp": "12/19/2022 12:42:00",
"content": "**Mehdi\\_Moulati**",
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"timestamp": "12/19/2022 12:42:06",
"content": "or this",
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"content": "**Mehdi\\_Moulati**",
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"content": "**Mehdi\\_Moulati**",
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] |
help-9
|
e49bef22047a4626be8566718f981e6f
|
200,235 |
[
{
"id": 1054456080542990500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 12:52:00",
"content": "Available help channel!",
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},
{
"id": 1054456081046323300,
"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:52:00",
"content": "Sure - here we go @heavy",
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"author_name": "heavy",
"timestamp": "12/19/2022 12:52:06",
"content": "yes hi",
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"id": 1054456155906261000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:52:18",
"content": "so how far along in your studies are you?",
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"id": 1054456209635287000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:52:31",
"content": "its important to know before i can give any good recommendations",
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"id": 1054456303977775200,
"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:52:53",
"content": "I'm not very far - I am just getting to grips with polynomials at the moment?",
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"id": 1054456349230121100,
"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:53:04",
"content": "Know a bit about functions",
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"id": 1054456366670028800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:53:08",
"content": "alright",
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"id": 1054456394713149400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:53:15",
"content": "do you know any other functions?",
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"id": 1054456486929125500,
"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:53:37",
"content": "Not really - no",
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"id": 1054456621599834200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:54:09",
"content": "i think its important to pursue calculus more then",
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"id": 1054456679011455100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:54:23",
"content": "since calculus is fundamental to most fields of mathematics",
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"id": 1054456817285091300,
"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:54:56",
"content": "Cool - thank you for your help - whereabouts are you in your studies of math?",
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"id": 1054456902458818700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:55:16",
"content": "i am currently a second years in an applied mathematics bachelors degree",
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"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:55:32",
"content": "Coming from a humanities background, it's sth I've only discovered really recently ironically after doing my degree in languages haha",
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{
"id": 1054457045903999100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:55:50",
"content": "sorry what is sth?",
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"id": 1054457096869007400,
"author_id": 783369060884414500,
"author_name": "WilliamH321",
"timestamp": "12/19/2022 12:56:02",
"content": "something",
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"id": 1054457131023225000,
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"author_name": "heavy",
"timestamp": "12/19/2022 12:56:10",
"content": "oh alright fair enough",
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"id": 1054457182575411300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:56:23",
"content": "theres lots of pattern recognition in language studies right",
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"id": 1054457224006733800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 12:56:33",
"content": "so i think youll fit right in with mathematics",
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"id": 1054457364427845800,
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"timestamp": "12/19/2022 12:57:06",
"content": "Thanks Gijs - nice talking to you",
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"id": 1054457463841247400,
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"timestamp": "12/19/2022 12:57:30",
"content": "im happy to help",
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"timestamp": "12/19/2022 13:12:06",
"content": "@WilliamH321 Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
06b290c34a1c45f38480db8bedb05d24
|
200,236 |
[
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"timestamp": "12/19/2022 13:52:05",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_name": "電波的な彼女",
"timestamp": "12/19/2022 13:53:15",
"content": "why for case 2, x cannot be negative",
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"timestamp": "12/19/2022 13:54:39",
"content": "well from what I see it requires b to be positive right in the beginning",
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"timestamp": "12/19/2022 13:54:49",
"content": "yeh but x can vary",
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"id": 1054471915097559200,
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"timestamp": "12/19/2022 13:54:55",
"content": "and in case 2 a is 0",
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"timestamp": "12/19/2022 13:55:11",
"content": "that means , as it says that the problem can be reduced to bx>=0",
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"id": 1054472001227587700,
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"timestamp": "12/19/2022 13:55:16",
"content": "and if b is positive",
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"id": 1054472025193853000,
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"timestamp": "12/19/2022 13:55:21",
"content": "and x was negative",
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"timestamp": "12/19/2022 13:55:23",
"content": "yeh what if x is negative",
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"id": 1054472061428449300,
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"timestamp": "12/19/2022 13:55:30",
"content": "then you would always get bx <0",
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"id": 1054472089152798800,
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"timestamp": "12/19/2022 13:55:37",
"content": "but the range cant be negative",
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"timestamp": "12/19/2022 13:55:43",
"content": "and you cant take the sqrt of a negtaive in the real numbers",
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"timestamp": "12/19/2022 13:55:49",
"content": "what do you mean ?",
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"content": "like thats the logic for case 1 right? It says that for case one, there are x that makes the thing negative",
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"content": "so a>0 doesn't work",
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"content": "wait let me read that",
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"content": "this question is so confusing, i dont even quite get what u are actually trynna do",
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"content": "give me a sec",
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"content": "can you tell me real quick what in this case would be the domain and the range of f ?",
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"content": "like what f takes and returns ?",
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"content": "the range would be just all reals? both positive and negative",
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"content": "domain the same",
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"timestamp": "12/19/2022 14:01:15",
"content": "cause u have no restrictions for what x to take",
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"timestamp": "12/19/2022 14:01:33",
"content": "I meant",
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"timestamp": "12/19/2022 14:01:34",
"content": "in general",
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"content": "what those terms mean",
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"content": "english is not my first language, I dont know a lot mathmatical terms unfortunately",
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"content": "so yeah domain and range should be what I thought",
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"timestamp": "12/19/2022 14:02:30",
"content": "alright",
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"content": "so what you need to do afaik is to find the two constants a and b such that you get the function f which has domain(f) = range(f)",
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"content": "and a can only be real and b has to be positive",
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"timestamp": "12/19/2022 14:03:14",
"content": "alright",
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"timestamp": "12/19/2022 14:03:17",
"content": "ok",
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"content": "yeh",
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"content": "so because you already know that f cant return any negatives you can also apply this on the domain of f",
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"content": "right",
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"content": "and the range cant contain any negatives because its a sqrt",
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"timestamp": "12/19/2022 14:04:14",
"content": "right",
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"timestamp": "12/19/2022 14:04:15",
"content": "now",
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"timestamp": "12/19/2022 14:04:43",
"content": "yes",
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"content": "the thing inside the sqrt must be positive",
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"timestamp": "12/19/2022 14:04:54",
"content": "yeah",
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"content": "no",
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"content": "nonnegative",
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"content": ">=0",
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"timestamp": "12/19/2022 14:05:17",
"content": "with that knowledge",
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"timestamp": "12/19/2022 14:05:24",
"content": "and the knowledge that b has to be positive",
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"content": "you can make 3 cases for a",
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"timestamp": "12/19/2022 14:05:39",
"content": "thats what they do",
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"content": "yeh",
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"timestamp": "12/19/2022 14:06:14",
"content": "the first case",
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"timestamp": "12/19/2022 14:06:20",
"content": "there are 2 roots for teh quadratic",
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"timestamp": "12/19/2022 14:06:24",
"content": "therefore a part of the range is negative",
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"timestamp": "12/19/2022 14:06:26",
"content": "but for 2nd case",
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"content": "i think for x<0, it is still negative",
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"timestamp": "12/19/2022 14:07:11",
"content": "ok this is actually quite straight forward",
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"timestamp": "12/19/2022 14:07:25",
"content": "oh yeah so you got the first case ?",
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"content": "yeh",
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"timestamp": "12/19/2022 14:07:41",
"content": "wait what do you mean by that ?",
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"timestamp": "12/19/2022 14:07:53",
"content": "we are discussing case 2 now right ?",
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"content": "a=0",
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"timestamp": "12/19/2022 14:08:03",
"content": "true for all x>=0, how about x<0",
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"timestamp": "12/19/2022 14:08:14",
"content": "in case 1, we considered x<0",
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"timestamp": "12/19/2022 14:09:13",
"content": "if a is 0",
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"timestamp": "12/19/2022 14:09:28",
"content": "then you are left with sqrt(bx)",
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"timestamp": "12/19/2022 14:09:32",
"content": "now b is positive",
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"timestamp": "12/19/2022 14:09:36",
"content": "that means",
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"timestamp": "12/19/2022 14:09:40",
"content": "x cant be negative",
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"timestamp": "12/19/2022 14:09:47",
"content": "otherwise you would get an error",
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"timestamp": "12/19/2022 14:09:48",
"content": "for f",
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"timestamp": "12/19/2022 14:09:53",
"content": "its simply not allowed",
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"timestamp": "12/19/2022 14:09:58",
"content": "oh",
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"timestamp": "12/19/2022 14:09:59",
"content": "negative x is not in the domain",
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"timestamp": "12/19/2022 14:10:00",
"content": "ur right",
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"timestamp": "12/19/2022 14:10:04",
"content": "thats what we wanna achieve",
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"timestamp": "12/19/2022 14:10:14",
"content": "because range of f has no negatives either",
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"timestamp": "12/19/2022 14:10:17",
"content": "thats our goal",
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"timestamp": "12/19/2022 14:10:31",
"content": "to find a such that domain(f) has no negative",
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"timestamp": "12/19/2022 14:10:32",
"content": "ok lemme continue reading",
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"timestamp": "12/19/2022 14:10:33",
"content": "i get it",
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"timestamp": "12/19/2022 14:10:35",
"content": "yeah",
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"timestamp": "12/19/2022 14:14:52",
"content": "ok what if",
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"timestamp": "12/19/2022 14:15:07",
"content": "x is negative for third case",
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"timestamp": "12/19/2022 14:15:12",
"content": "but the entire inequality is still positive",
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"timestamp": "12/19/2022 14:15:16",
"content": "take x to be -1",
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"timestamp": "12/19/2022 14:15:26",
"content": "-a+b * -1",
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"id": 1054477102717604000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:15:32",
"content": "what if -a+b is a negative number",
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"id": 1054478646540238800,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:21:40",
"content": "wait nvm",
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"id": 1054478909212729300,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:22:43",
"content": "where do you get the -a+b * (-1) from ? I cant see it",
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"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:23:16",
"content": "",
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"id": 1054479052905390200,
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"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:23:17",
"content": "just trynna understand how the domain is gotten",
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"id": 1054479085700661400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:23:25",
"content": "is there a specific method?",
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"id": 1054479139622633600,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:23:38",
"content": "Well its actually quite simple imo but I might mistake",
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},
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"id": 1054479152507523100,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:23:41",
"content": "if a is negative",
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},
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"id": 1054479184149356500,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:23:48",
"content": "then ax^2 is definitely negative",
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{
"id": 1054479229720473700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:23:59",
"content": "yeh",
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},
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"id": 1054479239598063700,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:24:01",
"content": "oh wait",
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{
"id": 1054479250700386300,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:24:04",
"content": "gimme a sec",
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},
{
"id": 1054479369160114200,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:24:32",
"content": "right and as we are not allowed to have any negatives in our domain",
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"id": 1054479412160102400,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:24:43",
"content": "and we know that x(ax+b) >= 0",
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},
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"id": 1054479462907007100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:24:55",
"content": "xb>ax^2",
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},
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"id": 1054479489578565600,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:25:01",
"content": "then we need to see when ax+b<=0",
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},
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"id": 1054479742516080600,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:01",
"content": "switched the sign",
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},
{
"id": 1054479749273104400,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:03",
"content": "well now",
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},
{
"id": 1054479753861664800,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:04",
"content": "look",
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},
{
"id": 1054479776322162700,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:09",
"content": "if x < 0",
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},
{
"id": 1054479810610602100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:26:18",
"content": "wait, why did u drop the x",
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},
{
"id": 1054479814532268000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:26:19",
"content": "outside",
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},
{
"id": 1054479870660444300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:26:32",
"content": "oh",
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},
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"id": 1054479877983707100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:26:34",
"content": "yeh",
"attachments": [],
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},
{
"id": 1054479885730582700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:26:36",
"content": "i see",
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},
{
"id": 1054479886351343600,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:36",
"content": "x * ax = ax^2\nand \nx * b = bx",
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{
"id": 1054479899416604700,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:39",
"content": "yeah",
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},
{
"id": 1054479904244244500,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:40",
"content": "now",
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},
{
"id": 1054479983952789500,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:26:59",
"content": "if x is 0 then x ( ax+b) = 0 thats for sure",
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{
"id": 1054480109324738700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:29",
"content": "oh wait",
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},
{
"id": 1054480127192473700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:33",
"content": "theres a much simplifer way",
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},
{
"id": 1054480146050056300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:38",
"content": "a is negative is just sloping down",
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},
{
"id": 1054480164496609300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:42",
"content": "so the positive part must be",
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},
{
"id": 1054480173539536900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:44",
"content": "between the 2 roots",
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},
{
"id": 1054480187712098300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:48",
"content": "the roots are are easy to find",
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},
{
"id": 1054480219114852600,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:27:55",
"content": "just 0 and -b/a",
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},
{
"id": 1054480328225472600,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:28:21",
"content": "didnt understand you know",
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{
"id": 1054480446584524900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:28:49",
"content": "thats also how the text explained it",
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},
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"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:29:07",
"content": "",
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"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:29:12",
"content": "this part, u dont need algebra much",
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},
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"timestamp": "12/19/2022 14:29:29",
"content": "",
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"id": 1054480786969075700,
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"author_name": "barış",
"timestamp": "12/19/2022 14:30:10",
"content": "yeah alright alright",
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},
{
"id": 1054480835862089900,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:30:22",
"content": "honestly I need something too eat right now I cant focus too much xD",
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},
{
"id": 1054480844271648900,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:30:24",
"content": "Im sorry",
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},
{
"id": 1054480897593839600,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:30:37",
"content": "wait so why in this case x cant be negative",
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},
{
"id": 1054480909992202400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:30:40",
"content": "if its 0 and below",
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},
{
"id": 1054480927687983200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:30:44",
"content": "it would make the range negative right",
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},
{
"id": 1054481630321971300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:33:31",
"content": "this is so odd, lemme organize my brain",
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},
{
"id": 1054481656209227800,
"author_id": 547149221598461950,
"author_name": "barış",
"timestamp": "12/19/2022 14:33:38",
"content": "same give me a sec",
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"id": 1054481814422565000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:34:15",
"content": "oh i see",
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},
{
"id": 1054481820525281500,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:34:17",
"content": "i understand",
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},
{
"id": 1054481881799860400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:34:31",
"content": "cause for case 1, the range is negative in the domain of x",
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},
{
"id": 1054481917841506400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:34:40",
"content": "whereas for case 3, the range is positive in the domain of x",
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},
{
"id": 1054482147542573200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:35:35",
"content": "ok what does it go then to find the maximum value",
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},
{
"id": 1054482152592519200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:35:36",
"content": "for case 3",
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},
{
"id": 1054482180669198300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:35:43",
"content": "instead of the other cases",
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},
{
"id": 1054482419559964800,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:36:40",
"content": "oh",
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},
{
"id": 1054482429664038900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:36:42",
"content": "cause case 2 is a single number",
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},
{
"id": 1054482765946568700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:38:02",
"content": "ok the only concern i have rn",
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},
{
"id": 1054482811064701000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:38:13",
"content": "can there be some a between the minimum and maximum?",
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"id": 1054482994083147800,
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"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:38:57",
"content": "ok the conclusion is weird",
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},
{
"id": 1054483292994412700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/19/2022 14:40:08",
"content": "case 3 seems incomplete",
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},
{
"id": 1054487069122109400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 14:55:08",
"content": "@電波的な彼女 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 15:10:09",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
84ee1bbaf6a34fc191a008c95b0b17d9
|
200,237 |
[
{
"id": 1054500943703572600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 15:50:16",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1054501986105557100,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 15:54:25",
"content": "Q. A fair coin is tossed ten times. What is the probability that it shows heads at least six times?",
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},
{
"id": 1054501988135608300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 15:54:25",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1054501986105557100,
"channelId": 486844875632017400,
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}
},
{
"id": 1054502044330901600,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 15:54:39",
"content": "I know it's something to do with nCr",
"attachments": [],
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"reference": null
},
{
"id": 1054502081727303800,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 15:54:47",
"content": "but i cant remember the forumula",
"attachments": [],
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"reference": null
},
{
"id": 1054503455181512800,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:00:15",
"content": "any help is appriciated",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054505769095147600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:09:27",
"content": "Sounds binomial to me",
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{
"id": 1054505823818219500,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:09:40",
"content": "i think that sounds right",
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},
{
"id": 1054505939702657000,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:10:07",
"content": "Either add up each of the individual probabilities you get, or use a calculator that does that for you 😂",
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},
{
"id": 1054506060456669300,
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"author_name": "NightHorn",
"timestamp": "12/19/2022 16:10:36",
"content": "i have one that does nCr, what does N and r mean sorry",
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"author_name": "chartbit",
"timestamp": "12/19/2022 16:10:36",
"content": "As n=10, p=0.5 and you want P(X>=6)",
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{
"id": 1054506301180358700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:11:33",
"content": "In this one, P(X=r) is the probability that (in this context) you get exactly r heads",
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"id": 1054506432571113600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:12:05",
"content": "n is the total amount of “rounds” you have (here it’s 10, as you flip the coin 10 times)",
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},
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"id": 1054506492071530500,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:12:19",
"content": "and r is 6?",
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},
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"id": 1054506576733544600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:12:39",
"content": "*at least* 6",
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{
"id": 1054506752588136600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:13:21",
"content": "The (n r) bracket is just another way of saying nCr (on mobile rn, apologies for lack of typesetting)",
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},
{
"id": 1054506845391298600,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:13:43",
"content": "np",
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},
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"id": 1054506908427485300,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:13:58",
"content": "right let me try rq",
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},
{
"id": 1054507053340700800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:14:33",
"content": "Depending on your model of calculator, it may be able to do a lot of the work for you btw",
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},
{
"id": 1054507131879030900,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:14:52",
"content": "(Assuming of course you’re using one!)",
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},
{
"id": 1054507765055365200,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:17:22",
"content": "so i need to go through increasing r by one each time and add the totals?",
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},
{
"id": 1054507974346952700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:18:12",
"content": "Pretty much, you need to find P(X=r) for r being 6,7,8,9,10 and add them up (notwithstanding the above)",
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"id": 1054508088314568800,
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"author_name": "NightHorn",
"timestamp": "12/19/2022 16:18:40",
"content": "cool imma do that rq",
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},
{
"id": 1054511864182227100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 16:33:40",
"content": "@NightHorn Has your question been resolved?",
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"id": 1054511943576195100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/19/2022 16:33:59",
"content": "Spoiler btw",
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"id": 1054512102942978000,
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"author_name": "NightHorn",
"timestamp": "12/19/2022 16:34:37",
"content": "lol litterally just got it",
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},
{
"id": 1054512110090068000,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:34:38",
"content": "XD",
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},
{
"id": 1054512121049796600,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:34:41",
"content": "thanks!",
"attachments": [],
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},
{
"id": 1054512162971852800,
"author_id": 681139988586299400,
"author_name": "NightHorn",
"timestamp": "12/19/2022 16:34:51",
"content": ".close",
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},
{
"id": 1054512165752676500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 16:34:52",
"content": "Channel closed",
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}
] |
help-9
|
c6353255a1c74b3f86411cec5d68778c
|
200,238 |
[
{
"id": 1054512418971201500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 16:35:52",
"content": "Available help channel!",
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},
{
"id": 1054514578215686300,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:44:27",
"content": "im curious,",
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},
{
"id": 1054514580736463000,
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"timestamp": "12/19/2022 16:44:27",
"content": "Pinned a message.",
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"id": 1054514585887051900,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:44:29",
"content": "lets say",
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},
{
"id": 1054514638705930200,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:44:41",
"content": "z*pi = x - pi/2 - y/2",
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},
{
"id": 1054514715549769700,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:45:00",
"content": "we know that x must belong to [0, pi]",
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},
{
"id": 1054514755878002700,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:45:09",
"content": "and y (0, pi/2)",
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},
{
"id": 1054514803290427500,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:45:21",
"content": "how'd we calculate the restrictions on z?",
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},
{
"id": 1054514922526089300,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:45:49",
"content": "you know who victor frankenstien is",
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},
{
"id": 1054514963999371300,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:45:59",
"content": "naw",
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},
{
"id": 1054515038829940900,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:46:17",
"content": "Well he said 'avoid ambition, seek happiness in tranquility'",
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},
{
"id": 1054515119696121900,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:46:36",
"content": "wise words",
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},
{
"id": 1054515126927118300,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:46:38",
"content": "so why u curious its finne get you killed",
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},
{
"id": 1054515157197398000,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:46:45",
"content": "coz he died right after that",
"attachments": [],
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},
{
"id": 1054515176516366300,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:46:50",
"content": "coz his own invention killed him",
"attachments": [],
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},
{
"id": 1054515235316322300,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:47:04",
"content": "i want to be curious because i want to",
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},
{
"id": 1054515245932105900,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:47:06",
"content": "idrc abt death",
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},
{
"id": 1054515288315547600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:47:16",
"content": "Fair enough",
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},
{
"id": 1054515391478648800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:47:41",
"content": "$z\\pi = x - \\frac{\\pi}{2} - \\frac{y}{2}$",
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},
{
"id": 1054515439067213800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:47:52",
"content": "thats what u want?",
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},
{
"id": 1054515483644264600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/19/2022 16:48:03",
"content": "i think z * pi not z ^pi",
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},
{
"id": 1054515502648664000,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:07",
"content": "ye",
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},
{
"id": 1054515519849504900,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:48:11",
"content": "Ahh",
"attachments": [],
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},
{
"id": 1054515529508999200,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:14",
"content": "heres the actual question tho",
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},
{
"id": 1054515583871369300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/19/2022 16:48:27",
"content": "**Mortta**",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054515583963648020/318024849333288960.png",
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{
"id": 1054515611570552800,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:33",
"content": "1 sec",
"attachments": [],
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},
{
"id": 1054515633523523600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:48:38",
"content": "is Z a complex number or just a variable",
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},
{
"id": 1054515648925024400,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:42",
"content": "coz i overgeneralized it a little bit",
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},
{
"id": 1054515674195706000,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:48",
"content": "il send u a more spesific context",
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},
{
"id": 1054515698900140200,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:54",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054515698694623342/IMG_DBF5C430714C-1.jpeg",
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{
"id": 1054515712384839700,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:48:57",
"content": "g11 ib math question",
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},
{
"id": 1054515743707889700,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:49:05",
"content": "its just that",
"attachments": [],
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},
{
"id": 1054515802105192400,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:49:19",
"content": "because we have restrictions on both x and b",
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},
{
"id": 1054515836771115100,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:49:27",
"content": "i wondered if there is a more systematic way of",
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},
{
"id": 1054515868387786900,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:49:34",
"content": "getting all the valid answer for x",
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},
{
"id": 1054515965397844100,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:49:58",
"content": "hm",
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},
{
"id": 1054515994216898600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:50:04",
"content": "if b is inbetween 0 and pi / 2",
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},
{
"id": 1054516030917062800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:50:13",
"content": "a is inbetween 0 and 1",
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},
{
"id": 1054516105026211800,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:50:31",
"content": "we dont worry abt a there",
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},
{
"id": 1054516127163760800,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:50:36",
"content": "just x b and k",
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},
{
"id": 1054516316704358400,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:51:21",
"content": "w8 i actually have a hella systematic method",
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},
{
"id": 1054516339982745600,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:51:27",
"content": "i first get a k",
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},
{
"id": 1054516417027915800,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:51:45",
"content": "and i see whether, for all values of b, with that k value, the restriction on x is satsified",
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},
{
"id": 1054516441522634900,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:51:51",
"content": "a bit of an overkill tho",
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},
{
"id": 1054516448862683300,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:51:53",
"content": "hm",
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},
{
"id": 1054516482282901600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:52:01",
"content": "could u not times the bottom equation by -1",
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},
{
"id": 1054516492827377800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:52:03",
"content": "and sub it into the top",
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},
{
"id": 1054516518366498800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:52:09",
"content": "-sin2x = sinb ?",
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},
{
"id": 1054516573936832500,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:52:23",
"content": "uhmmm",
"attachments": [],
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},
{
"id": 1054516600134435000,
"author_id": 527118999515824100,
"author_name": "Tq",
"timestamp": "12/19/2022 16:52:29",
"content": "not sure wut u mean there",
"attachments": [],
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},
{
"id": 1054516699455566000,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:52:53",
"content": "well make a the subject of the bottom one",
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},
{
"id": 1054516714878017500,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/19/2022 16:52:56",
"content": "and plug it into the top",
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},
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"id": 1054520376316674200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 17:07:29",
"content": "@Tq Has your question been resolved?",
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"id": 1054521117332750300,
"author_id": 805217272087838700,
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"timestamp": "12/19/2022 17:10:26",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b752379d7bbf4773adda8660cb654ca6
|
200,239 |
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"timestamp": "12/19/2022 17:11:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054526993963692200,
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"author_name": "Phi",
"timestamp": "12/19/2022 17:33:47",
"content": "",
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"id": 1054526996102783000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 17:33:48",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
"guildId": null
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"id": 1054530769890050000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 17:48:47",
"content": "@Phi Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 751126770429853700,
"name": "Phi",
"discriminator": "7330",
"nickname": "Phi",
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},
{
"id": 1054531203757248600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/19/2022 17:50:31",
"content": "• Ask your math question in a clear, concise manner.\n• Show your work, and if possible, explain where you are stuck.",
"attachments": [],
"mentions": [
{
"id": 751126770429853700,
"name": "Phi",
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}
],
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},
{
"id": 1054531870852911200,
"author_id": 751126770429853700,
"author_name": "Phi",
"timestamp": "12/19/2022 17:53:10",
"content": "I need some help to get started on the proof for this question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054532019062849500,
"author_id": 751126770429853700,
"author_name": "Phi",
"timestamp": "12/19/2022 17:53:45",
"content": "I have used the transformation method before but I can't figure out how to use it in this situation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054539569707634700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 18:23:45",
"content": "@Phi Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 751126770429853700,
"name": "Phi",
"discriminator": "7330",
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"id": 1054555571044487200,
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"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 19:27:20",
"content": "@Phi Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 751126770429853700,
"name": "Phi",
"discriminator": "7330",
"nickname": "Phi",
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{
"id": 1054585858637959200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/19/2022 21:27:41",
"content": "@Phi Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 751126770429853700,
"name": "Phi",
"discriminator": "7330",
"nickname": "Phi",
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],
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},
{
"id": 1054615934716878800,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "12/19/2022 23:27:12",
"content": "is this not just a use of the change of variables formula?",
"attachments": [],
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},
{
"id": 1054616046063079600,
"author_id": 704179090395103200,
"author_name": "Saccharine",
"timestamp": "12/19/2022 23:27:39",
"content": "find z(x_1, x_2) and u(x_1, x_2), compute the Jacobian",
"attachments": [],
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"reference": null
},
{
"id": 1054654907740848300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 02:02:04",
"content": "@Phi Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 751126770429853700,
"name": "Phi",
"discriminator": "7330",
"nickname": "Phi",
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}
],
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{
"id": 1054655106529890300,
"author_id": 751126770429853700,
"author_name": "Phi",
"timestamp": "12/20/2022 02:02:51",
"content": "that's the formula but i cant figure out how to do it",
"attachments": [],
"mentions": [
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 06:02:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ffafce0a534a46ab8f851f71b9b80c6b
|
200,240 |
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{
"id": 1054715559872299000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 06:03:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054722847890751600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:32:02",
"content": "could anyone help me with vectors?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054722850428301400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 06:32:03",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1054722847890751600,
"channelId": 486844875632017400,
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}
},
{
"id": 1054723212614828200,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:33:29",
"content": "@Moderators",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054723358710837400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:34:04",
"content": "did i do somethin wrong?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054723447101591600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:34:25",
"content": "attempting to cheat is directly against both your school's and this discord's rules",
"attachments": [],
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"reference": null
},
{
"id": 1054723575266951200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:34:56",
"content": "i mean, everyone is here to get help with tests, isn't that right?",
"attachments": [],
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"reference": null
},
{
"id": 1054723738668630000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/20/2022 06:35:35",
"content": "My guy u literally have a pfp with Auschwitz in it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054723874169819100,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:36:07",
"content": "is that bad?",
"attachments": [],
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"reference": null
},
{
"id": 1054723941094133800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/20/2022 06:36:23",
"content": ":thinkspin:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054723995787870300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:36:36",
"content": "i don't know history",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054724054751400000,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:36:50",
"content": "🧐",
"attachments": [],
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"reference": null
},
{
"id": 1054724073374093400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:36:54",
"content": "i can change it if needed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054724303758823400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:37:49",
"content": "so can anyone help me with vectors,please?",
"attachments": [],
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},
{
"id": 1054725304855318700,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:41:48",
"content": "alright i changed the profile picture, we good now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054725636901584900,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:43:07",
"content": "You'll be banned once the moderators come online due to cheating so it doesn't matter.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054725781282099200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:43:42",
"content": "what am i cheating on bruh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054725876450861000,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:44:04",
"content": "They have logs so it's too late. It's a instant ban for everyone.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054725978603143200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:44:29",
"content": "bruv look at all these other people",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054726040683024400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:44:43",
"content": "they join here to possibly get help with tests",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054726146832478200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:45:09",
"content": "like im not the only one, why yall pressing me so hard like what i do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054726665365897200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:47:12",
"content": "like a week ago, people helped me out noone didn't dislike anything and didn't have any problems",
"attachments": [],
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},
{
"id": 1054727026587729900,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:48:39",
"content": "ah, so you already got away with it once\n\nvery cool, that'll definitely help with not getting b& :KEK:",
"attachments": [],
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},
{
"id": 1054727103251222700,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:48:57",
"content": "bro whats yo problem",
"attachments": [],
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"reference": null
},
{
"id": 1054727142732222500,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:49:06",
"content": "you need me to pay you or som?",
"attachments": [],
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},
{
"id": 1054727247522713600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:49:31",
"content": "🙂",
"attachments": [],
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"reference": null
},
{
"id": 1054727315105521700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:49:47",
"content": "the problem is that you're attempting to cheat and not understanding why it's bad\n\nand instead of admitting it you're trying to justify it by saying other people do the same thing\n\nwell the good news is other people that also do this also get banned :KEK:",
"attachments": [],
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"reference": null
},
{
"id": 1054727416569938000,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:50:11",
"content": "can you tell me one thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054727458919829600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:50:22",
"content": "what is this math help channel dedicated to then?",
"attachments": [],
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"reference": null
},
{
"id": 1054727656962273400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:51:09",
"content": "people who aren't trying to cheat? :KEK:",
"attachments": [],
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},
{
"id": 1054727706438291500,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:51:21",
"content": "then what are they doing here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054727740902879400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:51:29",
"content": "they just sit down and start doing math?",
"attachments": [],
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},
{
"id": 1054727765707993100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/20/2022 06:51:35",
"content": "To quote the #rules, \"help[ing] you learn how to do your homework\"",
"attachments": [],
"mentions": [
{
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},
{
"id": 1054727873321259000,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:52:00",
"content": "Actually, yes.",
"attachments": [],
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},
{
"id": 1054727981001617500,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:52:26",
"content": "bro it litteraly says help channels are for homework type of questiopns",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728037545033900,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:52:40",
"content": "what do you think i am doing right now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728095590002700,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:52:53",
"content": "sitting in school while having a test and chatting on discord?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728109372485600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:52:57",
"content": "God, can a moderator please come online.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728189919887500,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:53:16",
"content": "🙏",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728200724414600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:53:18",
"content": "like holy shit man, why yall have to be such snowflakes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728219447808100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:53:23",
"content": "i wonder what this meant",
"attachments": [
{
"id": 1054728219078697100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054728219078697030/image.png",
"fileName": "image.png",
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},
{
"id": 1054728235155468300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:53:27",
"content": "cant help a brother out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728326440288400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:53:48",
"content": "its a homework test",
"attachments": [],
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"reference": null
},
{
"id": 1054728348292620300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:53:54",
"content": "..so it's a test",
"attachments": [],
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},
{
"id": 1054728366890168300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:53:58",
"content": "i have like 10 different ways to say test in my language",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728416785608700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:54:10",
"content": "so it's still a test :p",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728439392899200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:54:15",
"content": "majasdarbs kontroldarbs parbaudes darbs parasts darbs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728470627897300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:54:23",
"content": "all i know in enlgish is test and homework",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054728703919272000,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:55:18",
"content": "like yall actually for real right now?",
"attachments": [],
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},
{
"id": 1054728906575466500,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:56:07",
"content": "We're just kidding really. 🧐",
"attachments": [],
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"reference": null
},
{
"id": 1054729121931997200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/20/2022 06:56:58",
"content": "People actually work and study??! 1?1?? 😱😱😶🌫️😵😵🫣",
"attachments": [],
"mentions": [
{
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},
{
"id": 1054729124582789200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:56:59",
"content": "",
"attachments": [
{
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"id": 1054729138377859200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/20/2022 06:57:02",
"content": "Impossible",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054729162008571900,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:57:08",
"content": "read that please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054729280996782100,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:57:36",
"content": "",
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"fileName": "image.png",
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"id": 1054729286122217500,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:57:37",
"content": "read that please",
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},
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"id": 1054729315687870500,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:57:44",
"content": "tests or exams",
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},
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"id": 1054729346251755500,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:57:52",
"content": "and i have a goddamn hoomework",
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},
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"id": 1054729385955037200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:58:01",
"content": "bro like you are actually so delusional",
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},
{
"id": 1054729420495134800,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:58:09",
"content": "you just want to get me banned n shit for no reason",
"attachments": [],
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},
{
"id": 1054729485100003300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:58:25",
"content": "just because you have a bad day doesnt mean u need to ruin other random peoples days",
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},
{
"id": 1054729513742897200,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:58:32",
"content": ":kekw:",
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},
{
"id": 1054729682978885800,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 06:59:12",
"content": "just because you're getting called out doesn't mean you have to assume others must be having a bad day :KEK:\nmy day's been fine, thanks for reaching out",
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"id": 1054729744123433100,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 06:59:26",
"content": "how old are you",
"attachments": [],
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},
{
"id": 1054729787974885500,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 06:59:37",
"content": "I just finished a subsection in my book so I'm happy too.",
"attachments": [],
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},
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"id": 1054729893381939200,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 07:00:02",
"content": "Is that one of your homework questions?",
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"id": 1054729986956853200,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:00:24",
"content": "actual 2 male karens",
"attachments": [],
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},
{
"id": 1054729999858536600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:00:27",
"content": "this is crazyyyyyyy",
"attachments": [],
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},
{
"id": 1054730079193800800,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 07:00:46",
"content": "😆",
"attachments": [],
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},
{
"id": 1054730155379138600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:01:04",
"content": "you understand math really good, is it really that hard to help me out for a few minutes i don't understand",
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},
{
"id": 1054730262161936400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:01:30",
"content": "yes, because we can't understand things for you, by doing so you learn absolutely nothing and you get credit you don't deserve",
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},
{
"id": 1054730381926072300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:01:58",
"content": "this thing that im going to do wont effect my total or any grade",
"attachments": [],
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},
{
"id": 1054730408085954600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:02:05",
"content": "i dont get no credit",
"attachments": [],
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},
{
"id": 1054730473080885400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:02:20",
"content": "a likely story.",
"attachments": [],
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},
{
"id": 1054730473290608600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 07:02:20",
"content": "Don't worry about it then. 🙂",
"attachments": [],
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},
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"id": 1054730511853039700,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:02:29",
"content": "this makes you sound so greedy",
"attachments": [],
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"id": 1054730518350024700,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 07:02:31",
"content": ":kekw:",
"attachments": [],
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},
{
"id": 1054730525539061800,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:02:33",
"content": "so so greedy",
"attachments": [],
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},
{
"id": 1054730661518397600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "12/20/2022 07:03:05",
"content": "A moderator might be online now, it was nice seeing you for a break from my work.",
"attachments": [],
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},
{
"id": 1054730747283513300,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:03:26",
"content": "i won't be surprised if the moderators will ban yall, you're just being such an asshole for no reason",
"attachments": [],
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},
{
"id": 1054730785116135400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:03:35",
"content": "a likely outcome.",
"attachments": [],
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},
{
"id": 1054730836051767400,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:03:47",
"content": "i really hope so",
"attachments": [],
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},
{
"id": 1054731109855928300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "12/20/2022 07:04:52",
"content": "This channel is wild. Wow I sure love seeing what happens on this server :clopencry:",
"attachments": [],
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"reference": null
},
{
"id": 1054731774124630000,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:07:30",
"content": "so nobody can help me out?",
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},
{
"id": 1054733044650606600,
"author_id": 924987072647950300,
"author_name": "stariks",
"timestamp": "12/20/2022 07:12:33",
"content": ".close",
"attachments": [],
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},
{
"id": 1054733047620182100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 07:12:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
67172f2313c845dabc9758cd211518dd
|
200,241 |
[
{
"id": 1054733299634929700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 07:13:34",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1054736831398293500,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:27:36",
"content": "Let M, N be sets, f : M → N a function, and X1, X2 ⊆ M. Prove or disprove the following statement with a detailed proof.\n\nN \\ f(X1 ∩ X2) = f(M \\ X1) ∪ f(M \\ X2)",
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},
{
"id": 1054736833700970600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 07:27:37",
"content": "Pinned a message.",
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}
},
{
"id": 1054736928345436200,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:27:59",
"content": "I guess its false.",
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},
{
"id": 1054737115247804500,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:28:44",
"content": "I suppose M=N={1,2,3,4,5}, f(x)=x+1, and X1={2,4} and X2={3,5}",
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},
{
"id": 1054737189545726000,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:29:02",
"content": "**Then for the LHS:**\nN \\ f(X1 ∩ X2) = {1,2,3,4,5} \\ f({2,4} ∩ {3,5}) = {1,2,3,4,5} \\ f({}) = {1,2,3,4,5}",
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},
{
"id": 1054737248203063400,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:29:16",
"content": "**And for the RHS:**\nf(M \\ X1) ∪ f(M \\ X2) = f({1,3,5}) ∪ f({1,2,4}) = {2,4,6} ∪ {2,3,5} = {2,3,4,5,6}",
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},
{
"id": 1054737327341174800,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:29:34",
"content": "{1,2,3,4,5} ≠ {2,3,4,5,6} => N \\ f(X1 ∩ X2) ≠ f(M \\ X1) ∪ f(M \\ X2).",
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},
{
"id": 1054737366616649700,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:29:44",
"content": "So the statement is false, or am I wrong?",
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},
{
"id": 1054737604463055000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:30:40",
"content": ":thinkies: given M = {1,2,3,4,5}, f(x) = x+1, what's N?",
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},
{
"id": 1054737657118326900,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:30:53",
"content": "N = M",
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},
{
"id": 1054737680434483300,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:30:59",
"content": "He typed that",
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},
{
"id": 1054737694925791200,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:31:02",
"content": "Ye",
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},
{
"id": 1054737730732560400,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:31:11",
"content": "M is not given, M is just a regular set",
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},
{
"id": 1054737786978173000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:31:24",
"content": "but you constructed M and N and f",
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},
{
"id": 1054737805122732000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:31:28",
"content": "then what's f(5)",
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},
{
"id": 1054737924509421600,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:31:57",
"content": "meh annoying",
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},
{
"id": 1054737931736203300,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:31:59",
"content": "Just say that",
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},
{
"id": 1054738101051863000,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:32:39",
"content": "f(x) = x+1 if x != 5, otherwise f(x) = x",
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},
{
"id": 1054738148669784200,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:32:50",
"content": "Nobody said it has to be injective",
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},
{
"id": 1054738161399500800,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:32:53",
"content": ":trol",
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},
{
"id": 1054738245025550500,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:33:13",
"content": "ahhh",
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},
{
"id": 1054738248708141000,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:33:14",
"content": "yes",
"attachments": [],
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},
{
"id": 1054738260066312200,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:33:17",
"content": "and by doing that",
"attachments": [],
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},
{
"id": 1054738318874656800,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:33:31",
"content": "my proof that the statement is wrong, is correct?",
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},
{
"id": 1054738723268481200,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:35:07",
"content": "Hold up",
"attachments": [],
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},
{
"id": 1054738732978286700,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:35:10",
"content": "Im checking rhs",
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},
{
"id": 1054739106107760600,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:36:39",
"content": "ye",
"attachments": [],
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},
{
"id": 1054739146888974300,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:36:48",
"content": "No its not",
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},
{
"id": 1054739352326000600,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:37:37",
"content": "Because f({1,3,5}) != {2,4,6} , if f is equivalent to the function thati stated",
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},
{
"id": 1054739459813408900,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:38:03",
"content": "Daaamn",
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},
{
"id": 1054739548007047200,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:38:24",
"content": "It would instead be 2,4,5 and the union's rhs would be the same",
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},
{
"id": 1054739628281827300,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:38:43",
"content": "Hm",
"attachments": [],
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},
{
"id": 1054739636255207600,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:38:45",
"content": "But yea u still missing the {1}",
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},
{
"id": 1054739672271687700,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:38:53",
"content": "So with that correction",
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},
{
"id": 1054739732548026400,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:39:08",
"content": "It would seem that u wouldve provided a counter argument therefore proving that the statement is false",
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},
{
"id": 1054739775837458400,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:39:18",
"content": "Unless im skill issue and didnt notice somethijg",
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},
{
"id": 1054739816232800400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:39:28",
"content": "~~you can show it's false, you just need to properly define the image :thinkies:~~ actually on second thought hol up",
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},
{
"id": 1054740003432972400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:40:12",
"content": "you can't just say this is my domain this is my image and this is my map then your map doesn't actually map correctly :KEK:",
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},
{
"id": 1054740052523106300,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:40:24",
"content": "wheres the 1? sorry im confused f({1,3,5}) ∪ f({1,2,4}) = {2,4,6} ∪ {2,3,5} = {2,3,4,5,6}",
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"id": 1054740106721894400,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:40:37",
"content": "Bro",
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},
{
"id": 1054740173990137900,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:40:53",
"content": "But f({1,3,5}) is {2,4,5}",
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},
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"id": 1054740206269513900,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:41:01",
"content": "If f is the function that i state",
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{
"id": 1054740224103694500,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:41:05",
"content": "yes",
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},
{
"id": 1054740229883441200,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:41:06",
"content": "Which is this",
"attachments": [],
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},
{
"id": 1054740246480289800,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:41:10",
"content": "ye",
"attachments": [],
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},
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"id": 1054740409928126500,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:41:49",
"content": "Yea so u get {2,4,5} U {2,3,5}",
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"id": 1054740449916633100,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:41:59",
"content": "Which is {2,3,4,5}",
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},
{
"id": 1054740488957198500,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 07:42:08",
"content": "wait i think i have to review my own proof :thinkies:",
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},
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"id": 1054740495559041000,
"author_id": 426078210476736500,
"author_name": "Pre-Bishop",
"timestamp": "12/20/2022 07:42:10",
"content": "Which differs from {1,2,3,4,5} by {1}",
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},
{
"id": 1054740510700470300,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:42:13",
"content": "ahhh",
"attachments": [],
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},
{
"id": 1054740513867186200,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:42:14",
"content": "Yes",
"attachments": [],
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},
{
"id": 1054740538668105700,
"author_id": 140720151061463040,
"author_name": "Summe",
"timestamp": "12/20/2022 07:42:20",
"content": "Wow thx, now I got it :)",
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},
{
"id": 1054741862872797300,
"author_id": 1054723955455439000,
"author_name": "Edenjs",
"timestamp": "12/20/2022 07:47:36",
"content": "hello everyone i have a way to travel to the moon if your interested inbox me",
"attachments": [],
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},
{
"id": 1054744314384756700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 07:57:20",
"content": "@Summe Has your question been resolved?",
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"id": 1054745366026784900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 08:01:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
31703999154c40889a674fea2f0bec1b
|
200,242 |
[
{
"id": 1054745618515509200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 08:02:31",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054749180796620900,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
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"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 08:16:41",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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},
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"id": 1054749233938436100,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:16:53",
"content": "i need to help with part c",
"attachments": [],
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"reference": null
},
{
"id": 1054749356806381600,
"author_id": 703134690613264400,
"author_name": "Infiniticity",
"timestamp": "12/20/2022 08:17:22",
"content": "can you translate it to english?",
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},
{
"id": 1054749386946662500,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:17:30",
"content": "idk how to translate",
"attachments": [],
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},
{
"id": 1054749397461766300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:17:32",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 1054749437014057000,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:17:42",
"content": "lemme try to use gg",
"attachments": [],
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"reference": null
},
{
"id": 1054749670880067600,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:18:37",
"content": "ΔABC acutely has H as the orthocenter. Through B, ray Bx ⊥ AB, through C draw ray Cy AC such that Bx\nand Cy intersects at D.\na) Prove that quadrilateral BHCD is a parallelogram.\nb) Let M be the midpoint of BC and O the midpoint of AD. Prove that AH = 2OM.\nc) Let G be the centroid of ΔABC. Prove that G, H, O are collinear.",
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},
{
"id": 1054749790862332000,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:19:06",
"content": ".",
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},
{
"id": 1054753566843220100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 08:34:06",
"content": "@Caleb Edwards Has your question been resolved?",
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"id": 1054753824679665700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:35:08",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1054757227631751200,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:48:39",
"content": "anyone can help me pls?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054757366085722100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 08:49:12",
"content": "have you done a)",
"attachments": [],
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},
{
"id": 1054757914830700700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:51:23",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1054757956782137300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:51:33",
"content": "i have done a and b",
"attachments": [],
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},
{
"id": 1054757998049898600,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:51:43",
"content": "please help me part c",
"attachments": [],
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"reference": null
},
{
"id": 1054758139687338100,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:52:16",
"content": "i wrote part a and b in vietnamese",
"attachments": [],
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"reference": null
},
{
"id": 1054758176345571300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:52:25",
"content": "u want me to send it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054758184574791700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 08:52:27",
"content": "?",
"attachments": [],
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},
{
"id": 1054758197266743400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 08:52:30",
"content": "nah",
"attachments": [],
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},
{
"id": 1054758206594891800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 08:52:32",
"content": "lemme see",
"attachments": [],
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},
{
"id": 1054760430876250100,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:01:23",
"content": "okay",
"attachments": [],
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},
{
"id": 1054760440137252900,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:01:25",
"content": "thank you",
"attachments": [],
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},
{
"id": 1054765609818263700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:21:57",
"content": "@Helpers",
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},
{
"id": 1054766817433891000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:26:45",
"content": ":thinkspin:",
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},
{
"id": 1054766863340556300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:26:56",
"content": "i have a weird proof",
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},
{
"id": 1054767066290327700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:27:45",
"content": "",
"attachments": [
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"id": 1054767091179323400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:27:51",
"content": "if you construct the line ON",
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},
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"id": 1054767141703930000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:28:03",
"content": "ON is parallel to DC",
"attachments": [],
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},
{
"id": 1054767230660907000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:28:24",
"content": "since N is the midpoint of AC then 2ON = DC = BH",
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},
{
"id": 1054767603299668000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:29:53",
"content": "so then BH is the image of NO under homothety through G with factor -2",
"attachments": [],
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},
{
"id": 1054767631749615600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:30:00",
"content": "which means OGH is a line",
"attachments": [],
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},
{
"id": 1054769027651735600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:35:32",
"content": "oop typo",
"attachments": [],
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},
{
"id": 1054769037286047700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:35:35",
"content": "i meant OGH",
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},
{
"id": 1054769453293895700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:37:14",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054769461300838400,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:37:16",
"content": "OGH",
"attachments": [],
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},
{
"id": 1054769473544003600,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:37:19",
"content": "wait",
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},
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"id": 1054769483987816600,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:37:21",
"content": "lemme see",
"attachments": [],
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},
{
"id": 1054770569331097700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:41:40",
"content": "can u say this again but more clearly pls? i didn't catch this",
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"id": 1054770619486584800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:41:52",
"content": "like",
"attachments": [],
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},
{
"id": 1054770643821936800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:41:58",
"content": "if you look at NO",
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},
{
"id": 1054770660334915700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:42:02",
"content": "and reflect it through G",
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},
{
"id": 1054770681633574900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:42:07",
"content": "but with scaling factor 2",
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},
{
"id": 1054770693436342400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:42:10",
"content": "you get BH",
"attachments": [],
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},
{
"id": 1054770869353840600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:42:51",
"content": "by the fact that 2NO = BH, 2NG = BG, BGN is a line and NO is parallel to BH",
"attachments": [],
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},
{
"id": 1054771109553250300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:43:49",
"content": "um... sorry?",
"attachments": [],
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"reference": null
},
{
"id": 1054771144621834400,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:43:57",
"content": "NO = 2BH?",
"attachments": [],
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},
{
"id": 1054771204105437200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:44:11",
"content": "oh oops wrong way round lol",
"attachments": [],
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"reference": null
},
{
"id": 1054771265942073300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:44:26",
"content": "okay np",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054772125422080300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:47:51",
"content": "sorry but ΔABC acutely ? not square?🥹",
"attachments": [],
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},
{
"id": 1054772185731965000,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:48:05",
"content": ".",
"attachments": [],
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"reference": null
},
{
"id": 1054772257605566500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:48:22",
"content": "?",
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"reference": null
},
{
"id": 1054772435251105900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 09:49:05",
"content": "thats just to ensure H is inside the triangle",
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},
{
"id": 1054772637785665700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:49:53",
"content": "oh i see;-;",
"attachments": [],
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},
{
"id": 1054772643842248800,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:49:55",
"content": "okay",
"attachments": [],
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"reference": null
},
{
"id": 1054773507990499300,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:53:21",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054773525367496700,
"author_id": 1000945252636577900,
"author_name": "Caleb Edwards",
"timestamp": "12/20/2022 09:53:25",
"content": ".close",
"attachments": [],
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},
{
"id": 1054773528236404900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 09:53:25",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7b0a520d82664d77b282fcb3da3b5db9
|
200,243 |
[
{
"id": 1034720800277807100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 02:51:02",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1034721939719209000,
"author_id": 359126508650102800,
"author_name": "SadMad",
"timestamp": "10/26/2022 02:55:34",
"content": "when you find the derivative of an equation, when you plug in (x,y) you get the slope of the line at that point, right?",
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},
{
"id": 1034721942126739500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 02:55:35",
"content": "Pinned a message.",
"attachments": [],
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"timestamp": "10/26/2022 03:10:34",
"content": "@SadMad Has your question been resolved?",
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"timestamp": "10/26/2022 03:17:54",
"content": "sort of, you get the slope of the line at the x coordinate",
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"timestamp": "10/26/2022 03:18:50",
"content": "for example f(x) = x^2 + 2x + 3\nf'(x) = 2x + 2, so to find the slope at lets say (3,4), you would plug in x = 3 \nf'(3) = 2(3) + 2 = 8",
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"timestamp": "10/26/2022 03:18:52",
"content": "so the slope would be 8",
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"content": "when you have a derivative it equals dy/dx not y",
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"timestamp": "10/26/2022 03:20:03",
"content": "assuming the oroginal function is in the form f(x) = y",
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"timestamp": "10/26/2022 03:25:35",
"content": "Channel closed",
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}
] |
help-9
|
d996ede035864f10a880f826029054c8
|
200,244 |
[
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"timestamp": "12/20/2022 09:54:26",
"content": "Available help channel!",
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},
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"id": 1054775167613665400,
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"author_name": "m0rt41",
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"content": "Pinned a message.",
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"timestamp": "12/20/2022 10:00:00",
"content": "i need p here",
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"id": 1054775233447469000,
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"timestamp": "12/20/2022 10:00:12",
"content": "^^",
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"content": "i was never in another one",
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"timestamp": "12/20/2022 10:00:33",
"content": "i think i may have accidentally sent it somewhere else",
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"timestamp": "12/20/2022 10:00:35",
"content": "sorry",
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"timestamp": "12/20/2022 10:01:43",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
1e65c1a2e8d14716aac47142a5745889
|
200,245 |
[
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"id": 1054777697856925800,
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"timestamp": "12/20/2022 10:09:59",
"content": "Available help channel!",
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"id": 1054780137096360000,
"author_id": 477592722715443200,
"author_name": "marejak023",
"timestamp": "12/20/2022 10:19:41",
"content": "How can I solve these two limits?",
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"content": "Pinned a message.",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "12/20/2022 10:23:34",
"content": "For b) devide the numerator and denominator by x",
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"timestamp": "12/20/2022 10:26:01",
"content": "i wouldnt do that",
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"author_name": "Kohlemaennchen",
"timestamp": "12/20/2022 10:26:15",
"content": "It works though",
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"author_name": "Kohlemaennchen",
"timestamp": "12/20/2022 10:26:35",
"content": "How would you do it?",
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"author_name": "marejak023",
"timestamp": "12/20/2022 10:26:38",
"content": "I have the steps on how to solve it if you want to see",
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"timestamp": "12/20/2022 10:26:51",
"content": "Yes",
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"author_name": "marejak023",
"timestamp": "12/20/2022 10:27:55",
"content": "even though I have the steps its a bit confusing for me, so I was thinking that somebody could help me out explaining it on why were those steps made",
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"id": 1054782492843966500,
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"author_name": "marejak023",
"timestamp": "12/20/2022 10:29:03",
"content": "for (b) I get the top, like factoring out the x^2 becoming x, bot for the bottom part I dont understand the x^2/3",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "12/20/2022 10:29:54",
"content": "They factored out the x^2 out of the 3rd root",
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"id": 1054783509383893100,
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"author_name": "marejak023",
"timestamp": "12/20/2022 10:33:05",
"content": "but if I factor out the x^2 from second root, it becomes x, so why the factorization of x^2 from third root doesnt become also x?",
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"id": 1054783619106877600,
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"author_name": "marejak023",
"timestamp": "12/20/2022 10:33:31",
"content": "or like im confused that the top one become x and the bottom one become x^2/3",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "12/20/2022 10:36:59",
"content": "The 3rd roots makes it devide by 3",
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"id": 1054784991059521700,
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"author_name": "marejak023",
"timestamp": "12/20/2022 10:38:58",
"content": "yes, but then why top one isnt x^2? is it because its x^2/2? -> x^1",
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"timestamp": "12/20/2022 10:53:59",
"content": "@marejak023 Has your question been resolved?",
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"timestamp": "12/20/2022 11:08:59",
"content": "Channel closed",
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}
] |
help-9
|
52a00a5a81e34ff5aa4462bd0822de3c
|
200,246 |
[
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"timestamp": "12/20/2022 11:09:59",
"content": "Available help channel!",
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"id": 1054795420875903000,
"author_id": 555215358861246460,
"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:20:25",
"content": "I have a bad predicament. I have set a swipe pattern lock on a device and then I immediately forgot it. I can still see some fingerprints on the screen, and know some things that can narrow it down. I found that someone calculated on github all possible combinations, and found their list of all 8 digit combinations (I know I used exactly 8 dots). My issue is that I don't have the correct software, and can't narrow it down. I know it can't start with some certain numbers, and that it can't contain 6, etc. It would take very long to do this manually, as well (thousands of possible strings). Is there anyone that could help me with this, or knows the software or website to use?",
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"content": "Pinned a message.",
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"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/20/2022 11:22:22",
"content": "you could hard reset ur device",
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"timestamp": "12/20/2022 11:22:42",
"content": "I can do that",
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"id": 1054796026575331300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/20/2022 11:22:49",
"content": "is this a math questrion",
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"id": 1054796055260184700,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:22:56",
"content": "Kinda",
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},
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"id": 1054796085622739100,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:23:03",
"content": "Probability",
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"id": 1054796234193379500,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:23:39",
"content": "I have to make a python software to do that",
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},
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"id": 1054796285103833100,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:23:51",
"content": "What kind of swipe lock is that?",
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},
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"id": 1054796312010293400,
"author_id": 555215358861246460,
"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:23:57",
"content": "I want to try to crack the code before I do that on account of Steam authentication, etc.",
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},
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"id": 1054796581708255400,
"author_id": 555215358861246460,
"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:25:02",
"content": "It's where there's a 3x3 grid of dots, and you swipe to create a combination. You can't go over a dot twice, and if you swipe over a dot it gets connected.",
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"id": 1054796630408306700,
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"author_name": "Elk",
"timestamp": "12/20/2022 11:25:13",
"content": "Gotcha",
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"author_name": "mreow",
"timestamp": "12/20/2022 11:25:24",
"content": "and you said its 8 permutations?",
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"id": 1054796703607296000,
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"author_name": "Elk",
"timestamp": "12/20/2022 11:25:31",
"content": "•••\n•••\n•••",
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"id": 1054796707323461800,
"author_id": 555215358861246460,
"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:25:32",
"content": "It is shown here.: https://stackoverflow.com/questions/6979524/android-lock-password-combinations",
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"id": 1054796726814384100,
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"author_name": "Elk",
"timestamp": "12/20/2022 11:25:36",
"content": "Something like this ig",
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},
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"id": 1054796778886668300,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:25:49",
"content": "And you want to find 8 line combinations",
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"id": 1054796872142823600,
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"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:26:11",
"content": "I believe so, I believe I used all dots except the one corresponding to 6.",
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"id": 1054796981358301200,
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"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:26:37",
"content": "I found this list that contains all 8 digit combinations.: https://raw.githubusercontent.com/delight-im/AndroidPatternLock/master/combinations/Exact%20number%20of%20connected%20dots/exactly-8-connected-dots.txt",
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"id": 1054797190121394200,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:27:27",
"content": "This seems suspicious",
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"id": 1054797213534003200,
"author_id": 934427535792549900,
"author_name": "Elk",
"timestamp": "12/20/2022 11:27:32",
"content": "So can't help sorry",
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"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:27:48",
"content": "Okay, sorry about that. I can see why it would.",
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"author_name": "gumbydragon",
"timestamp": "12/20/2022 11:30:02",
"content": "Thank you.",
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},
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"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 11:45:02",
"content": "@gumbydragon Has your question been resolved?",
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"timestamp": "12/20/2022 11:55:12",
"content": "Channel closed",
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}
] |
help-9
|
096ccfcb466441a999d0fd260e65c506
|
200,247 |
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{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 11:56:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054809365443514400,
"author_id": 709189461828960400,
"author_name": "Wagwan",
"timestamp": "12/20/2022 12:15:50",
"content": "",
"attachments": [
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 12:15:50",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1054809365443514400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1054809390487707600,
"author_id": 709189461828960400,
"author_name": "Wagwan",
"timestamp": "12/20/2022 12:15:56",
"content": "Need help for this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054809756797243500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/20/2022 12:17:23",
"content": "what stage are you on?\n```\n1. I don't know where to begin\n2. I have begun but got stuck midway\n3. I got an answer but I'm told it's wrong\n4. I got an answer and would like my work checked\n5. I have a question about someone else's worked solution\n6. None of the above\n```",
"attachments": [],
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},
{
"id": 1054811209507024900,
"author_id": 709189461828960400,
"author_name": "Wagwan",
"timestamp": "12/20/2022 12:23:09",
"content": "1",
"attachments": [],
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},
{
"id": 1054813781835923500,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "12/20/2022 12:33:23",
"content": "use sine law\nside/sin(opposing angle) = otherSide/sin(opposing angle)",
"attachments": [],
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},
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"id": 1054814043531137200,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "12/20/2022 12:34:25",
"content": "sin(angle)/(opposing side) also works",
"attachments": [],
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},
{
"id": 1054815302665388000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 12:39:25",
"content": "@Wagwan Has your question been resolved?",
"attachments": [],
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"id": 1054819079631937500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 12:54:26",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
370b929d0e7a43f8a6fb2f49c1c771a8
|
200,248 |
[
{
"id": 1054819333311824000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 12:55:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054820401559113900,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 12:59:41",
"content": "hi!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054820404251857000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 12:59:41",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1054820401559113900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1054820481737433100,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:00:00",
"content": "",
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{
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{
"id": 1054823067865583600,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:10:17",
"content": "Suppose there is an arithmetic progression $a_1, a_2, ...$ with common difference d that has $1, \\sqrt2, \\sqrt3$ among its\nterms.\nThen there exist distinct positive integers m, n and p such\nthat $a_m=1,a_n= \\sqrt2,a_p=\\sqrt3$",
"attachments": [],
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"reference": null
},
{
"id": 1054823079039209500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/20/2022 13:10:19",
"content": "**Polipoli ❤**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054823079198609418/251189299981058050.png",
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},
{
"id": 1054823089445294100,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:10:22",
"content": "this is what I have so far",
"attachments": [],
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},
{
"id": 1054823437274730600,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "12/20/2022 13:11:45",
"content": "I would use the fact that it has to be able to be expressed in terms of a common difference as a sequence",
"attachments": [],
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"reference": null
},
{
"id": 1054823676958216300,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "12/20/2022 13:12:42",
"content": "so it would have to be some a_0 + kd",
"attachments": [],
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"reference": null
},
{
"id": 1054823890582515800,
"author_id": 303316462339096600,
"author_name": "THEBIGTHREE",
"timestamp": "12/20/2022 13:13:33",
"content": "so a_0 + md = 1, a_0 + nd = sqrt(2), a_0 + pd = sqrt(3)",
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},
{
"id": 1054824058597937200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/20/2022 13:14:13",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054824058698617006/118663865264242688.png",
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},
{
"id": 1054824074762780800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/20/2022 13:14:17",
"content": "which is a contradiction",
"attachments": [],
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"reference": null
},
{
"id": 1054824294477221900,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:15:09",
"content": "ohhhh!!!",
"attachments": [],
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},
{
"id": 1054824651332780000,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:16:34",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 1054824890911436800,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:17:31",
"content": "tysm!!!",
"attachments": [],
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"reference": null
},
{
"id": 1054824905692160100,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:17:35",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054824908506546300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 13:17:35",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
109bc29674ce4669b7dd7656466b72db
|
200,249 |
[
{
"id": 1054825092573577300,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "12/20/2022 13:18:19",
"content": "wtf is that question lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054825162085761200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 13:18:36",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054828252662865900,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:30:53",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054828252197310554/image.png",
"fileName": "image.png",
"fileSizeBytes": 2693
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},
{
"id": 1054828255275929600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 13:30:53",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1054828315954921500,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:31:08",
"content": "Why can 1/t^4 be rewritten as t^-4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054828336284717200,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:31:13",
"content": "What is the rule used here?",
"attachments": [],
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},
{
"id": 1054828447186292900,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:31:39",
"content": "$\\frac{1}{a^b} = a^{-b}$",
"attachments": [],
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},
{
"id": 1054828456803827700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/20/2022 13:31:41",
"content": "**Polipoli ❤**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1054828456971608124/251189299981058050.png",
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},
{
"id": 1054828529054908500,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:31:59",
"content": "Thank you so much",
"attachments": [],
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"reference": null
},
{
"id": 1054828543537840100,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:32:02",
"content": "Makes a lot of sense now",
"attachments": [],
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"reference": null
},
{
"id": 1054828571476099100,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "12/20/2022 13:32:09",
"content": "no problem!",
"attachments": [],
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"reference": null
},
{
"id": 1054829177850826900,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:34:33",
"content": "I will close this now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054829191641714700,
"author_id": 515955959848501250,
"author_name": "Monke E",
"timestamp": "12/20/2022 13:34:37",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054829194435113100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 13:34:37",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c431b83516254451bdf7efd345edc895
|
200,250 |
[
{
"id": 1054845049290096800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 14:37:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1054850007259435000,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 14:57:19",
"content": "heyo i need help with my homework",
"attachments": [],
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"reference": null
},
{
"id": 1054850009364959200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 14:57:20",
"content": "Pinned a message.",
"attachments": [],
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"id": 1054850202634301400,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 14:58:06",
"content": "",
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"id": 1054850621389426800,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 14:59:46",
"content": "the question is about b)\nit translates roughly to:\nThe (formal) derivative of a polynomial p = ∑nk=0 akXk (ab. d. A. with n ≥ 1) is given\nby\nn\np′ := ∑ kakXk−1 .\nk=1\nDetermine the representation matrices of the linear maps ε : Pol3R → Pol3R and\nδ : Pol3R → Pol2R\nare defined in terms of the bases (1, X, X2, X3) of Pol3R and (1, X, X2) of Pol2R. Calculation\nε(p) := p(2X−1), δ(p) := p′\nalso a representation matrix of the composition δ ◦ ε.",
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},
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"id": 1054850804558868600,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 15:00:29",
"content": "i already started to do the work but i got confused if its correct",
"attachments": [],
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},
{
"id": 1054850877053218800,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 15:00:47",
"content": "",
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"id": 1054851109140828200,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 15:01:42",
"content": "this is what i came up to but i'm not sure what to do with the δ",
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},
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"id": 1054854885230784500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 15:16:42",
"content": "@krevaen Has your question been resolved?",
"attachments": [],
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"name": "krevaen",
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},
{
"id": 1054854985889886300,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 15:17:06",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1054862536798896300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 15:47:07",
"content": "@krevaen Has your question been resolved?",
"attachments": [],
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"name": "krevaen",
"discriminator": "2443",
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"id": 1054862594567057400,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 15:47:20",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 1054864335324856300,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/20/2022 15:54:15",
"content": "For $\\epsilon$ it's good",
"attachments": [],
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},
{
"id": 1054864344455856100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/20/2022 15:54:18",
"content": "**black\\_couscous**",
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},
{
"id": 1054864409106858100,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/20/2022 15:54:33",
"content": "What's the derivative of a constant ?",
"attachments": [],
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},
{
"id": 1054864424076320900,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/20/2022 15:54:37",
"content": "In general?",
"attachments": [],
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},
{
"id": 1054882106293113000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 17:04:52",
"content": "@krevaen Has your question been resolved?",
"attachments": [],
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"name": "krevaen",
"discriminator": "2443",
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},
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"id": 1054887024055832600,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 17:24:25",
"content": "idk what that means exactly lol",
"attachments": [],
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{
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"name": "black_couscous",
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},
{
"id": 1054887124807196800,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/20/2022 17:24:49",
"content": "Have you done some calcululs?",
"attachments": [],
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},
{
"id": 1054887288083054700,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 17:25:28",
"content": "for this?",
"attachments": [],
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},
{
"id": 1054887689213710300,
"author_id": 395693974863478800,
"author_name": "krevaen",
"timestamp": "12/20/2022 17:27:03",
"content": "i also have a question for epsilon, shouldnt it me 1(2x-1) and so on?",
"attachments": [],
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"id": 1054887808881393800,
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"author_name": "krevaen",
"timestamp": "12/20/2022 17:27:32",
"content": "and x(2x-1) ..., bc then the vectors would be differrnt",
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"timestamp": "12/20/2022 17:27:44",
"content": "The derivative of 1 is 0, x is 1, x^2 is 2x",
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"timestamp": "12/20/2022 17:28:23",
"content": "Why?",
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"author_name": "krevaen",
"timestamp": "12/20/2022 17:28:31",
"content": "a yes",
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"author_name": "krevaen",
"timestamp": "12/20/2022 17:29:14",
"content": "bc the epsilon of p is p(2x-1)",
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"timestamp": "12/20/2022 17:29:21",
"content": "Yes",
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"author_name": "black_couscous",
"timestamp": "12/20/2022 17:29:31",
"content": "It's not a product",
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"author_name": "black_couscous",
"timestamp": "12/20/2022 17:29:38",
"content": "It's a composition",
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"author_name": "krevaen",
"timestamp": "12/20/2022 17:30:58",
"content": "and if i put the values in (for example x^2) wouldnt it be x^2 (2x-1) instead of (2x-1)^2",
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"timestamp": "12/20/2022 17:31:07",
"content": "No",
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"author_name": "krevaen",
"timestamp": "12/20/2022 17:31:33",
"content": "Am i not replacing p with the values or am i just getting it wrong",
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"timestamp": "12/20/2022 17:32:34",
"content": "also, how do i do that for this?",
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"timestamp": "12/20/2022 18:04:53",
"content": "Channel closed",
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}
] |
help-9
|
ba3441596e674ea39344f4b51f00c68b
|
200,251 |
[
{
"id": 1054897462403420300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 18:05:54",
"content": "Available help channel!",
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},
{
"id": 1054898391798263900,
"author_id": 652973299978207200,
"author_name": "windexismyfavoritedrink",
"timestamp": "12/20/2022 18:09:35",
"content": "What temperature do i have to heat up a 0.4L party balloon to 1.3L at SATP?",
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},
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"id": 1054898394142871700,
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"timestamp": "12/20/2022 18:09:36",
"content": "Pinned a message.",
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"id": 1054898900747690100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/20/2022 18:11:37",
"content": "PV = nRT",
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},
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"id": 1054899061423087700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/20/2022 18:12:15",
"content": "SATP is when P = 1 atm and T = 25°C (298.15 K)",
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},
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"id": 1054900393882161200,
"author_id": 652973299978207200,
"author_name": "windexismyfavoritedrink",
"timestamp": "12/20/2022 18:17:33",
"content": "ty",
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},
{
"id": 1054900411590529200,
"author_id": 652973299978207200,
"author_name": "windexismyfavoritedrink",
"timestamp": "12/20/2022 18:17:37",
"content": ".close",
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},
{
"id": 1054900414610428000,
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"timestamp": "12/20/2022 18:17:37",
"content": "Channel closed",
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}
] |
help-9
|
072671fdbd704c2d991633528258d907
|
200,252 |
[
{
"id": 1054900920938405900,
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"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 18:19:38",
"content": "Available help channel!",
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},
{
"id": 1054906505389940900,
"author_id": 492975325005873150,
"author_name": "aelfric",
"timestamp": "12/20/2022 18:41:50",
"content": "",
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"timestamp": "12/20/2022 18:41:50",
"content": "Pinned a message.",
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"id": 1054906544493428900,
"author_id": 492975325005873150,
"author_name": "aelfric",
"timestamp": "12/20/2022 18:41:59",
"content": "can someone help?",
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},
{
"id": 1054906813537079400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "12/20/2022 18:43:03",
"content": "Translate the question.",
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},
{
"id": 1054907807792627800,
"author_id": 492975325005873150,
"author_name": "aelfric",
"timestamp": "12/20/2022 18:47:00",
"content": "given sequence Un { \nfor all n in real numbers.\nfind Un",
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{
"id": 1054908573643178000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 18:50:03",
"content": "evaluate U1",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 19:02:00",
"content": "@aelfric Has your question been resolved?",
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"timestamp": "12/20/2022 19:17:01",
"content": "Channel closed",
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}
] |
help-9
|
db07e5b1b15b458d832be7f5dacd9f58
|
200,253 |
[
{
"id": 1054915612553515000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 19:18:01",
"content": "Available help channel!",
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},
{
"id": 1054917506504069100,
"author_id": 264585258182115330,
"author_name": "Seb",
"timestamp": "12/20/2022 19:25:32",
"content": "Hi everyone, I am new to learning series, and have a question to see if I am approaching my homework correctly. Is the format that I used to guess the Formula for SN correct? This felt a bit too obvious, and I wasn't sure if I instead should be using an answer form that includes a summation notation or something similar. Thank you!",
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"content": "Pinned a message.",
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"id": 1054917936072102000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/20/2022 19:27:15",
"content": "its correct",
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},
{
"id": 1054917982549180400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/20/2022 19:27:26",
"content": "but it is no proof of course",
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"id": 1054918189806538800,
"author_id": 264585258182115330,
"author_name": "Seb",
"timestamp": "12/20/2022 19:28:15",
"content": "Thank you I appreciate that! The simplicity was making me overthink",
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},
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"id": 1054918207321948300,
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"author_name": "Seb",
"timestamp": "12/20/2022 19:28:20",
"content": ".close",
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{
"id": 1054918210526388400,
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"timestamp": "12/20/2022 19:28:20",
"content": "Channel closed",
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}
] |
help-9
|
7277f774cca344fea22fab1cdbc0f8ff
|
200,254 |
[
{
"id": 1034729744199061500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 03:26:35",
"content": "Available help channel!",
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},
{
"id": 1034733039793754200,
"author_id": 680964817737351300,
"author_name": "Omeletee",
"timestamp": "10/26/2022 03:39:41",
"content": "How to do square root step by step",
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},
{
"id": 1034733045686751200,
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"timestamp": "10/26/2022 03:39:42",
"content": "Pinned a message.",
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"id": 1034733164570087400,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/26/2022 03:40:10",
"content": "step 1 press the square root button on your calculator, step 2 enter your value inside, step 3 press equals",
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{
"id": 1034733261487882200,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "10/26/2022 03:40:33",
"content": "Congratulations",
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},
{
"id": 1034733934694633500,
"author_id": 680964817737351300,
"author_name": "Omeletee",
"timestamp": "10/26/2022 03:43:14",
"content": "No calculator",
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},
{
"id": 1034733980982976500,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "10/26/2022 03:43:25",
"content": "This wont end well",
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},
{
"id": 1034734022867292200,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "10/26/2022 03:43:35",
"content": "@Omeletee Any number mind?",
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"id": 1034734027606859800,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/26/2022 03:43:36",
"content": "just like find a close square number",
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},
{
"id": 1034734048679039000,
"author_id": 680964817737351300,
"author_name": "Omeletee",
"timestamp": "10/26/2022 03:43:41",
"content": "Becuz the teacher not allow us to use calcu or cp",
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"id": 1034734073597407200,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/26/2022 03:43:47",
"content": "find a bound between 2 square numbers",
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},
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"id": 1034734096196313100,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/26/2022 03:43:52",
"content": "2 consecutive square numbers",
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"id": 1034734118501613700,
"author_id": 806240719089303600,
"author_name": "bo luo",
"timestamp": "10/26/2022 03:43:58",
"content": "by just trial and error",
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"id": 1034734152727134200,
"author_id": 680964817737351300,
"author_name": "Omeletee",
"timestamp": "10/26/2022 03:44:06",
"content": "240",
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},
{
"id": 1034734227528364000,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "10/26/2022 03:44:24",
"content": "find 2 square numbers close to 240",
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"id": 1034734245274452100,
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"author_name": "insult",
"timestamp": "10/26/2022 03:44:28",
"content": "like the 2 closest ones",
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},
{
"id": 1034734269815337000,
"author_id": 581797621115387900,
"author_name": "insult",
"timestamp": "10/26/2022 03:44:34",
"content": "1 a little lower and 1 a little higher",
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"id": 1034734415458353200,
"author_id": 680964817737351300,
"author_name": "Omeletee",
"timestamp": "10/26/2022 03:45:09",
"content": ".close",
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"id": 1034734419027697700,
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"timestamp": "10/26/2022 03:45:09",
"content": "Channel closed",
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}
] |
help-9
|
181ddf74356d4079b4b81deadc756ab1
|
200,255 |
[
{
"id": 1054929192556449900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 20:11:59",
"content": "Available help channel!",
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},
{
"id": 1054929423327035400,
"author_id": 501626645422014460,
"author_name": "brxwn",
"timestamp": "12/20/2022 20:12:54",
"content": "An open top box is made by cutting out squares from the corners of a 4 ft by 5 ft rectangle and folding up the flaps, what is the max volume you can have?",
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},
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"id": 1054929425738760200,
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"timestamp": "12/20/2022 20:12:54",
"content": "Pinned a message.",
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"id": 1054929446857085000,
"author_id": 501626645422014460,
"author_name": "brxwn",
"timestamp": "12/20/2022 20:12:59",
"content": "How do I do this",
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},
{
"id": 1054929909891469400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/20/2022 20:14:50",
"content": "have you tried drawing a diagram",
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},
{
"id": 1054931659411177600,
"author_id": 245737484380667900,
"author_name": "jayrod185Shaman",
"timestamp": "12/20/2022 20:21:47",
"content": "drawing diagrams always helps on optimization problems 😎",
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},
{
"id": 1054932010663162000,
"author_id": 501626645422014460,
"author_name": "brxwn",
"timestamp": "12/20/2022 20:23:11",
"content": "ok I just realized that the height is the same as the cut out part lol",
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"author_name": "brxwn",
"timestamp": "12/20/2022 20:23:12",
"content": "thanks",
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},
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"id": 1054932037749981300,
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"author_name": "brxwn",
"timestamp": "12/20/2022 20:23:17",
"content": ".close",
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},
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"id": 1054932040191070300,
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"timestamp": "12/20/2022 20:23:18",
"content": "Channel closed",
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}
] |
help-9
|
4f4f632ce1944b68b6bac9f9b12696fc
|
200,256 |
[
{
"id": 1054932293896126600,
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"content": "Available help channel!",
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},
{
"id": 1054934527006486500,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "12/20/2022 20:33:10",
"content": "How would you factor this?",
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"timestamp": "12/20/2022 20:33:11",
"content": "Pinned a message.",
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"content": "theres no numbers that multiply to 28 and add up to 17",
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"timestamp": "12/20/2022 20:33:52",
"content": "That's not the proper method",
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"timestamp": "12/20/2022 20:33:57",
"content": "You do A times C",
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"content": "It wouldn't be 28 your multiplying to get, its 3*-28, or ac",
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"timestamp": "12/20/2022 20:34:14",
"content": "And find the factors of that, that add to B",
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"id": 1054934802161225900,
"author_id": 344528357288837100,
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"timestamp": "12/20/2022 20:34:16",
"content": "oh shit.... i forgot about that",
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"timestamp": "12/20/2022 20:34:21",
"content": ":catthumbsup:",
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"timestamp": "12/20/2022 20:34:24",
"content": "thanks lol",
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"timestamp": "12/20/2022 20:34:33",
"content": "np",
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"timestamp": "12/20/2022 20:34:44",
"content": ".close",
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help-9
|
b66a5ed9bc94447c8a0d54eff083b30a
|
200,257 |
[
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"author_name": "Solim",
"timestamp": "12/20/2022 20:39:17",
"content": "Just wondering that Khmer right?",
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"content": "Does anyone the answer? I tried doing it but I'm receiving none of the answers.",
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"content": "What I did is first do derivative of 1+2xsiny then replaced the respected values",
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"content": "What do you get when you diff y = 1 + 2x sin(y)?",
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"timestamp": "12/20/2022 20:57:06",
"content": "-(sin(y)/xcosy)",
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"author_name": "chartbit",
"timestamp": "12/20/2022 20:57:40",
"content": "As your dy/dx? Don't think so",
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"timestamp": "12/20/2022 20:58:04",
"content": "Remember differentiating this should leave you with dy/dx on both sides, and when you rearrange it...",
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"timestamp": "12/20/2022 20:58:26",
"content": "...you'd need to factorise that dy/dx out...",
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"timestamp": "12/20/2022 20:59:51",
"content": "Will there be a dy/dx in the final answer?",
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"timestamp": "12/20/2022 21:00:15",
"content": "Of the differentiation, yes, you want dy/dx = ...",
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"timestamp": "12/20/2022 21:00:32",
"content": "Then in that, substitute the values they give to work out what dy/dx is there",
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"content": "You should get one of the answers on there!",
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"author_name": "RockFlipper12",
"timestamp": "12/20/2022 21:01:00",
"content": "Because I redid it and ended up with 2(xcos(y)dy/dx+sin(y))",
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"timestamp": "12/20/2022 21:01:36",
"content": "Yep, but on the LHS you should have dy/dx",
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"author_name": "chartbit",
"timestamp": "12/20/2022 21:02:16",
"content": "So $\\frac{dy}{dx} = 2\\sin(y) + 2x\\cos(y) \\frac{dy}{dx}$",
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"timestamp": "12/20/2022 21:02:18",
"content": "**chartbit**",
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"timestamp": "12/20/2022 21:02:39",
"content": "Ohh ok",
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"author_id": 292075679661686800,
"author_name": "RockFlipper12",
"timestamp": "12/20/2022 21:02:50",
"content": "And now I can just input the values of x and y right?",
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"author_name": "chartbit",
"timestamp": "12/20/2022 21:03:19",
"content": "You could do that now if you wanted - but you would need to solve for dy/dx eventually",
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"timestamp": "12/20/2022 21:03:27",
"content": "Best to do it as the first thing imo",
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"timestamp": "12/20/2022 21:03:47",
"content": "Ok. How can I do that?",
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"author_name": "chartbit",
"timestamp": "12/20/2022 21:04:13",
"content": "Subtract the $2x\\cos(y)\\frac{dy}{dx}$ to the other side",
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"timestamp": "12/20/2022 21:04:15",
"content": "**chartbit**",
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"timestamp": "12/20/2022 21:04:49",
"content": "Oh ok",
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"author_name": "RockFlipper12",
"timestamp": "12/20/2022 21:07:48",
"content": "Alrighttt. Got the answer as 2",
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"content": ".close",
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] |
help-9
|
0331822e87324a5ea9f208624cda91f5
|
200,258 |
[
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"timestamp": "12/20/2022 21:45:19",
"content": "shouldnt change anything",
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"id": 1054952682382692400,
"author_id": 364570129171742700,
"author_name": "Jaboi",
"timestamp": "12/20/2022 21:45:19",
"content": "i actually read that",
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"id": 1054952714989228000,
"author_id": 364570129171742700,
"author_name": "Jaboi",
"timestamp": "12/20/2022 21:45:27",
"content": "and knew it was an error",
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"timestamp": "12/20/2022 21:45:34",
"content": "yeh xD",
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"author_id": 631138581523595300,
"author_name": "DJ Krmak",
"timestamp": "12/20/2022 21:49:30",
"content": "i cant figure out how to put it in calculator to give me correct result",
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"timestamp": "12/20/2022 21:49:49",
"content": "its too complicated for it",
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"author_name": "DJ Krmak",
"timestamp": "12/20/2022 21:54:38",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
fa1dcfba83fd45a4878f49e7797a6119
|
200,259 |
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"content": "for my constraints, i have: x1+x2+x3+x4+x5+x6 = 1",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:05:31",
"content": "but cant figure the ones for the protein, fat, fiber",
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"timestamp": "12/20/2022 22:08:06",
"content": "also maybe: x10 or x11, 0 = i dont use the ingredient, 1 = i do use the ingredient?",
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"timestamp": "12/20/2022 22:16:34",
"content": "I solved it in Excel, and got this, could this be a decent answer? lol",
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"timestamp": "12/20/2022 22:18:50",
"content": "yeah that ain't it chief\n\nwhat are your constants's, uhh, \"units\", i guess?\n\nyou have 16%, 13%, 15%, what's the 1, 1%?",
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"timestamp": "12/20/2022 22:19:07",
"content": "oh",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:19:46",
"content": "you mean the '1' for the ingredients total?",
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"timestamp": "12/20/2022 22:20:11",
"content": "ye",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:20:47",
"content": "well if the total amount of ingredients = 1 (lb) (my apologies, I should have mentioned it)",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:21:12",
"content": "then it means that the amount of the ingredient will be 0,40, 0,20, 0,3 etc",
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"timestamp": "12/20/2022 22:21:50",
"content": "that way I can see how much of the 1 pound consists of which ingredient",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:21:58",
"content": "and how much 1 pound costs",
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"timestamp": "12/20/2022 22:22:08",
"content": "am I correct on this one?",
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"timestamp": "12/20/2022 22:23:07",
"content": "i have this now, looks pretty good to me lmao",
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"timestamp": "12/20/2022 22:24:14",
"content": "oh actually think this is fine :thinkies:\n\nit's just a little offputting to see percentages not represented as a number between 0 and 1\n\nbut since you're effectively scaling every restriction by 100 the solution doesn't change on a per unit basis",
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"timestamp": "12/20/2022 22:24:50",
"content": "yeh sry shouldve mentioned it",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:25:10",
"content": "but im having trouble with the function",
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"id": 1054962717989028000,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:25:12",
"content": "objective",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:25:24",
"content": "cuz I want to minimise the cost to make 1 pound of the food",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:25:38",
"content": "but in Excel i have the main objective as: x1 ... x6 = 1",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:26:12",
"content": "u get what i mean?",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:26:31",
"content": "oh wait, those 2 dont have anything to do which each other",
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"timestamp": "12/20/2022 22:26:58",
"content": "",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:27:25",
"content": "Objective: Total amount of ingredients in lb must equal 1",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:27:38",
"content": "and then the constraints for the protein and stuff",
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"id": 1054963349265330300,
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"author_name": "IV",
"timestamp": "12/20/2022 22:27:42",
"content": "shouldn't you be minimizing something while treating total amounts as a constraint:thinkies:",
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"id": 1054963411399757800,
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"timestamp": "12/20/2022 22:27:57",
"content": "o",
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"id": 1054963445075812400,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:28:05",
"content": "aight",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:28:09",
"content": "let me try it now",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:28:13",
"content": "thx",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:28:46",
"content": "now i got this",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:29:07",
"content": "isnt it sus that the total amount of protein etc is equal to the minimum/maxmimum?",
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"id": 1054964000032567300,
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"author_name": "IV",
"timestamp": "12/20/2022 22:30:17",
"content": "that's at least a feasible solution :thinkies:\nit could be optimal but it'd be interesting",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:31:06",
"content": "thanks, so how do i formulate the constraints on paper?",
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"id": 1054964283361992700,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:31:25",
"content": "x1+x2+x3+x4+x5+x6 = 1",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:31:33",
"content": "but how bout the protein one?",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:31:58",
"content": "Or can I just say: Protein in % >= 16",
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{
"id": 1054964620177178600,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:32:45",
"content": "given x1 what's the amount of protein you have in x1 amounts of beef",
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"id": 1054964812519583900,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:33:31",
"content": "no idea, should I add that in the excel?",
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"id": 1054964865195835400,
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"author_name": "IV",
"timestamp": "12/20/2022 22:33:44",
"content": "no, it's provided directly to you in the table",
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"id": 1054964906174189600,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:33:53",
"content": "oh rlly",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:34:15",
"content": "where haha",
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"id": 1054965039523700700,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:34:25",
"content": "its 16,9% of 0,1664.... lbs",
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"id": 1054965214300356700,
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"author_name": "IV",
"timestamp": "12/20/2022 22:35:07",
"content": "yes, but that's when x1 is given\n\nso if x1 isn't known (like it would be before you solve it), what's the amount",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:35:25",
"content": "oh 0,169 lbs",
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"id": 1054965349738623000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:35:39",
"content": "(preferably in terms of x1)",
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"id": 1054965567326523400,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:36:31",
"content": "no clue",
"attachments": [],
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"id": 1054965598167257100,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:36:38",
"content": "or im thinking too hard",
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"id": 1054965643994202200,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:36:49",
"content": "it's just 16.9% * x1",
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"id": 1054965668853862400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:36:55",
"content": "because x1 isn't known",
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"id": 1054965695928086500,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:37:02",
"content": "ohh right",
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"author_name": "IV",
"timestamp": "12/20/2022 22:37:15",
"content": "so what's the total amount of protein in all of your meats when none of x1, ..., x6 is known",
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"id": 1054965910508671000,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:37:53",
"content": "16.9% * x1,x2,x3,x4,x5,x6 ?",
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"id": 1054965966460694500,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:38:06",
"content": "or 16.9% * x1, ..., x6",
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"id": 1054966198321807400,
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"author_name": "IV",
"timestamp": "12/20/2022 22:39:02",
"content": "alright we can go back one step before we generalize\n\nif x2 isn't known, what's the amount of protein in x2 lbs of pork",
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"id": 1054966239916720300,
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"author_name": "IV",
"timestamp": "12/20/2022 22:39:11",
"content": "again this comes directly from the table",
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"id": 1054966325493116900,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:39:32",
"content": "thatll be: 12% * x2",
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"id": 1054966436432466000,
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"author_name": "IV",
"timestamp": "12/20/2022 22:39:58",
"content": "so if we only care about beef and pork, but x1, x2 aren't known, what's the total amount of protein in x1 lbs of beef and x2 lbs of pork?",
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"id": 1054966849105829900,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:41:37",
"content": "hmm",
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"id": 1054967028533952600,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:42:19",
"content": "16.9% * x1, ..., x6 + 12% * x1, ..., x6 ?",
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"id": 1054967132061966300,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:42:44",
"content": "or do I have to take the average",
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"id": 1054967169793921000,
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"timestamp": "12/20/2022 22:42:53",
"content": "no\n\ntreating them individually, what's the amount of protein in the beef?\n\nwhat's the amount of protein in the pork?\n\nhow do you find the total of these two quantities?",
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"id": 1054967332214153200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:43:32",
"content": "x1+x2",
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},
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"id": 1054967335594754200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:43:33",
"content": "?",
"attachments": [],
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"id": 1054967392276590700,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:43:46",
"content": "and then",
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{
"id": 1054967407426408400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:43:50",
"content": "that's the amount of beef and pork\n\nbut we only want the amount of **protein** in those meats",
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"id": 1054967444000735200,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:43:58",
"content": "yes yes",
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"id": 1054967571239141500,
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"author_name": "IV",
"timestamp": "12/20/2022 22:44:29",
"content": "so treating it as smaller questions, what's the amount of protein in x1 pounds of beef\n\nand what's the amount of protein in x2 pounds of pork\n\nwe've done this just minutes ago",
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"id": 1054967652629627000,
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"timestamp": "12/20/2022 22:44:48",
"content": "16.9% * x1 + 12% * x2",
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"id": 1054967656077332600,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:44:49",
"content": "?",
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{
"id": 1054967822343741400,
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"author_name": "IV",
"timestamp": "12/20/2022 22:45:29",
"content": "correct!\n\nnow can you think of an expression for the total amount of protein across all 6 types of meats you have, but with x1, x2, ..., x6 all as unknowns?",
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"id": 1054967932750413800,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:45:55",
"content": "yes:",
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"id": 1054968173797068800,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:46:52",
"content": "16.9% * x1 + 12% * x2 + 8.5% * x3 + 15.4% * x4 + 8.4% *x5 + 18% * x6",
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{
"id": 1054968240759128200,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:47:08",
"content": "and what is the restriction on the total amount of protein you can have?",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:47:18",
"content": "my bad",
"attachments": [],
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"id": 1054968315191242900,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:47:26",
"content": "16.9% * x1 + 12% * x2 + 8.5% * x3 + 15.4% * x4 + 8.4% x5 + 18% x6 >= 16",
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"id": 1054968490886443100,
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"author_name": "IV",
"timestamp": "12/20/2022 22:48:08",
"content": "yes, so that's the constraint on protein\n\nand you can follow the exact steps to derive similar constraints for the others",
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"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:48:19",
"content": "i really appreciate the help brother",
"attachments": [],
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},
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"id": 1054968577083580400,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:48:29",
"content": "so those 3 constraints",
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"id": 1054968582108352500,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:48:30",
"content": "and the",
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"id": 1054968630980395100,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:48:41",
"content": "x1 + x2 + x3 + x4 + x5 + x6 = 1",
"attachments": [],
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"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:48:46",
"content": "are the only ones right?",
"attachments": [],
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{
"id": 1054968799960506400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:49:22",
"content": "and some trivial constraints such as x1>=0 because we exist in an universe without negative mass but that's all",
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"id": 1054968842465587200,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:49:32",
"content": "gotcha",
"attachments": [],
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"id": 1054968876712083500,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:49:40",
"content": "and this is the objective function right",
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"author_name": "IV",
"timestamp": "12/20/2022 22:49:55",
"content": "y",
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:50:05",
"content": "aight cool",
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"id": 1054969018458587300,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:50:14",
"content": "what year u in??",
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},
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"id": 1054969127275606000,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:50:40",
"content": "this my first time asking for help on this discord haha",
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"id": 1054969146665873400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:50:44",
"content": "1st year graduate/masters but i did OR a couple years ago",
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"id": 1054969194816471200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:50:56",
"content": "nice, pure math?",
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"id": 1054969291298058400,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:51:19",
"content": "nah got off that boat to get a CS degree so i can feed myself before doing pure maths later :p",
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"id": 1054969384898154600,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:51:41",
"content": "understandable, i wanted to do CS as well but i would be bored as shit",
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"id": 1054969423875813500,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:51:51",
"content": "imma just do applied math now",
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"id": 1054969497120944100,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:52:08",
"content": "i literally hate coding",
"attachments": [],
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},
{
"id": 1054969584563802200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:52:29",
"content": "but everyone needs it these days",
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"id": 1054969606697128000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:52:34",
"content": "ye but the pay's real good compared to math pathways except for quant/actuary ig",
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"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:52:42",
"content": "i can tolerate it so it's g",
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"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:52:51",
"content": "u wanna get into quant",
"attachments": [],
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},
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"id": 1054969678717522000,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:52:51",
"content": "?",
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},
{
"id": 1054969894912921700,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:53:43",
"content": "honestly the only job i want with the math degree is quant / tech",
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},
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"id": 1054969957089296500,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:53:58",
"content": "( im from the netherlands)",
"attachments": [],
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},
{
"id": 1054970001033023600,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:54:08",
"content": "but i dont really like tech that much",
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},
{
"id": 1054970044691521500,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:54:19",
"content": "pay is lil low",
"attachments": [],
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},
{
"id": 1054970106356170800,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:54:33",
"content": "and stock based comp is a big factor",
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"id": 1054970120302248000,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:54:37",
"content": "i dont like",
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{
"id": 1054970688647221200,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "12/20/2022 22:56:52",
"content": "eh a measure theory prof once gave a brief introduction to the theory of quant and it looked interesting\n\nand then he told us it's mostly competing to see whose code runs faster to get the microsecond edges lol\n\nso idk kinda on the fence",
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"id": 1054970740182622200,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:57:04",
"content": "haha yh thats true",
"attachments": [],
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},
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"id": 1054970765608493200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:57:10",
"content": "its pretty competitive",
"attachments": [],
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},
{
"id": 1054970789952225300,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:57:16",
"content": "backstabbing happens",
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},
{
"id": 1054970854460637200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:57:32",
"content": "if u dont produce any pnl u get fired",
"attachments": [],
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},
{
"id": 1054970925575057500,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:57:49",
"content": "but thats for the traders mostly",
"attachments": [],
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},
{
"id": 1054970994068033700,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:58:05",
"content": "i dont see myself getting into dev/research",
"attachments": [],
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"id": 1054971041841156100,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:58:16",
"content": "for dev u need like a phd in cs or smth",
"attachments": [],
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"id": 1054971087810723800,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:58:27",
"content": "research sometimes as well",
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"id": 1054971161789870200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:58:45",
"content": "but anyway",
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},
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"id": 1054971175480066200,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:58:48",
"content": "i appreciate the help IV!",
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},
{
"id": 1054971253947121700,
"author_id": 1012448209387409400,
"author_name": "kyrie27",
"timestamp": "12/20/2022 22:59:07",
"content": "gl on your masters",
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},
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"id": 1054971265447903200,
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"author_name": "kyrie27",
"timestamp": "12/20/2022 22:59:10",
"content": ".close",
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{
"id": 1054971268060942300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/20/2022 22:59:10",
"content": "Channel closed",
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}
] |
help-9
|
7611b90935404721bc6fee588696ba34
|
200,260 |
[
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"timestamp": "12/20/2022 23:41:53",
"content": "Available help channel!",
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"timestamp": "12/20/2022 23:49:18",
"content": "Sin is Y",
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"id": 1054984018103378000,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "12/20/2022 23:49:50",
"content": "60° is 1/2, √3/2",
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"timestamp": "12/20/2022 23:50:43",
"content": "30° is √3/2,1/2",
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"id": 1054984399571124200,
"author_id": 261933205387477000,
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"timestamp": "12/20/2022 23:51:21",
"content": "Rationalize the denominator",
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"timestamp": "12/20/2022 23:51:49",
"content": "For 1/√2?",
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"id": 1054984560573685800,
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"timestamp": "12/20/2022 23:51:59",
"content": "Yes",
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"id": 1054985225148571800,
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"content": "√2 / 2",
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"timestamp": "12/20/2022 23:54:48",
"content": "Which is 45°",
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"id": 1054985268752568300,
"author_id": 261933205387477000,
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"timestamp": "12/20/2022 23:54:48",
"content": "Compare",
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"id": 1054985277103423500,
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"timestamp": "12/20/2022 23:54:50",
"content": "Holy",
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"id": 1054985300067225600,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "12/20/2022 23:54:56",
"content": "Oh my god",
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"id": 1054985360280649700,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "12/20/2022 23:55:10",
"content": "My brain just fired hundreds of neurons",
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"id": 1054985396775305300,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "12/20/2022 23:55:19",
"content": "Wow",
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"id": 1054985425153970200,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "12/20/2022 23:55:26",
"content": "That's awesome",
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"id": 1054985468120420500,
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"author_name": "Musi",
"timestamp": "12/20/2022 23:55:36",
"content": "Thank you for the help @riemann",
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"timestamp": "12/20/2022 23:55:41",
"content": "Have a wonderful day",
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}
] |
help-9
|
c98d3ee07deb4451ae05bf182b6e744f
|
200,261 |
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"id": 1055017292246818800,
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"timestamp": "12/21/2022 02:02:03",
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"content": "@Moderators",
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"timestamp": "12/21/2022 02:11:25",
"content": "I get a different answer than the answers provided",
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"timestamp": "12/21/2022 02:11:55",
"content": "50 by 100/3",
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"timestamp": "12/21/2022 02:12:12",
"content": "The correct answer is 100 by 100/3",
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"id": 1055021748673843200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "12/21/2022 02:19:46",
"content": "Your work is right",
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"id": 1055021851509796900,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "12/21/2022 02:20:10",
"content": "The \"overall\" pen has dimensions x and 2y",
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"timestamp": "12/21/2022 02:20:18",
"content": "So 100/3 by 100",
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"timestamp": "12/21/2022 02:20:26",
"content": "@Palqs",
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"author_name": "tatpoj",
"timestamp": "12/21/2022 02:21:21",
"content": "The question says \"overall (both sections combined)\"",
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"timestamp": "12/21/2022 02:21:30",
"content": "Ohhh ok",
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"author_name": "Palqs",
"timestamp": "12/21/2022 02:21:35",
"content": "So 50 plus 50 then",
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"timestamp": "12/21/2022 02:21:44",
"content": "right",
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"author_name": "Palqs",
"timestamp": "12/21/2022 02:21:51",
"content": "Also nice pfp btw",
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"author_name": "Space",
"timestamp": "12/21/2022 02:22:02",
"content": "yes, if you include the point at infinity",
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"author_name": "tatpoj",
"timestamp": "12/21/2022 02:22:02",
"content": "Oh lol thank you",
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"id": 1055022375340609500,
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"author_name": "Palqs",
"timestamp": "12/21/2022 02:22:15",
"content": "And thank you for the clarification",
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"author_name": "tatpoj",
"timestamp": "12/21/2022 02:22:27",
"content": "no problem 👍",
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"author_name": "Palqs",
"timestamp": "12/21/2022 02:22:34",
"content": "Always love to see more James Webb 🙂",
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"timestamp": "12/21/2022 02:22:41",
"content": "always",
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"timestamp": "12/21/2022 02:23:08",
"content": "Wdym",
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"author_name": "Space",
"timestamp": "12/21/2022 02:24:19",
"content": "so like",
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"id": 1055022910789656600,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:24:23",
"content": "1/x^2",
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"timestamp": "12/21/2022 02:24:31",
"content": "if you go to the projective plane",
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"author_name": "Space",
"timestamp": "12/21/2022 02:24:38",
"content": "where you glue lines",
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"author_name": "Space",
"timestamp": "12/21/2022 02:25:07",
"content": "(you use the set of equivalence classes under the relation of being on the same line/having equivalent homogenous coordinates)",
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"author_name": "Space",
"timestamp": "12/21/2022 02:25:23",
"content": "you now essentially have a point at infinity from the vertical line",
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"timestamp": "12/21/2022 02:25:35",
"content": "[these are lines at the origin]",
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"id": 1055023242051592200,
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"author_name": "Space",
"timestamp": "12/21/2022 02:25:42",
"content": "1/x^2 has a root at infinity",
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"author_name": "Space",
"timestamp": "12/21/2022 02:25:49",
"content": "and this is a root with multiplicity 2",
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"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:25:58",
"content": "just like with x^2, it will \"bounce off\" of it",
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"id": 1055023428572291100,
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"author_name": "Space",
"timestamp": "12/21/2022 02:26:26",
"content": "likewise, x^-3 will go \"through\" infinity and loop back around the sphere.",
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"id": 1055023549737340900,
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"author_name": "Space",
"timestamp": "12/21/2022 02:26:55",
"content": "this is why x^(-n), with integer n, has the side change only for odd n.",
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"author_name": "Space",
"timestamp": "12/21/2022 02:27:08",
"content": "e.g. x^-3 is negative for negative x values",
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"author_name": "Space",
"timestamp": "12/21/2022 02:27:53",
"content": "[this idea comes up later in complex analysis, where roots and poles are very important, roots and poles at infinity also useful, multiplicities get expanded upon, and also the riemann sphere is just the complex analysis version of this glueing process]",
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"author_name": "Space",
"timestamp": "12/21/2022 02:28:04",
"content": "this specific glueing process is what gets you projective geometry",
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"author_name": "Space",
"timestamp": "12/21/2022 02:28:27",
"content": "@Master Oogway i have found that when i rant, i seem to give useful information. should i keep ranting, or is this good?",
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"id": 1055024062075777000,
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"timestamp": "12/21/2022 02:28:57",
"content": "Hm",
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"id": 1055024129255948300,
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:29:13",
"content": "I dont understand 99% of what you just said",
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"id": 1055024652092723200,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:31:18",
"content": "Actually i get the \"bounce off to a sphere part\"",
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"id": 1055024841150959600,
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:32:03",
"content": "Wait no i dont",
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"id": 1055024861883416600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:32:08",
"content": "Whats sphere",
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{
"id": 1055024903788699600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "12/21/2022 02:32:18",
"content": "i thought you were replying to the active question in the channel and was like wtf 💀",
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"id": 1055024959375818800,
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:32:31",
"content": "Haha",
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{
"id": 1055025024169414700,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:32:47",
"content": "Doesnt it kinda form a circle?",
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"id": 1055025088304513000,
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:33:02",
"content": "If it bounces back from infinity",
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"id": 1055025332798894200,
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:34:00",
"content": "And what does glue lines mean",
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"id": 1055025880763736000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:36:11",
"content": ":glassescat:",
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"id": 1055027140107714600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 02:41:11",
"content": "@Palqs Has your question been resolved?",
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"author_name": "Space",
"timestamp": "12/21/2022 02:41:26",
"content": "ok so",
"attachments": [],
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{
"id": 1055027236966776800,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:41:34",
"content": "these are called \"quotients\"",
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"id": 1055027295330500600,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:41:48",
"content": "the idea is you define a relation on a set.",
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"id": 1055027492332769300,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:42:35",
"content": "a relation is a subset of the cartesian product of two sets. a relation \"on\" something is a subset of the cartesian product of the thing with itself",
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{
"id": 1055027568199348200,
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"author_name": "Space",
"timestamp": "12/21/2022 02:42:53",
"content": "it can also be thought of as a binary operation mapping two objects from the set to either True or False",
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"timestamp": "12/21/2022 02:43:02",
"content": "i.e. 1≤2",
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"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 02:43:05",
"content": "Channel closed",
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}
] |
help-9
|
c84692576c0f46a58d221f98f5de5d83
|
200,262 |
[
{
"id": 1055027676076839000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:43:19",
"content": "Idk what a set is",
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},
{
"id": 1055027697811730400,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:43:24",
"content": "oh",
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{
"id": 1055027705667662000,
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"author_name": "Space",
"timestamp": "12/21/2022 02:43:26",
"content": "uhh",
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},
{
"id": 1055027746968981600,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:43:36",
"content": "think of it for now as just a collection of things",
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{
"id": 1055027777583190000,
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:43:43",
"content": "Ok",
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},
{
"id": 1055027790786871300,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:43:46",
"content": "usually represented in curly braces",
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},
{
"id": 1055027817219379200,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:43:53",
"content": "for example, {1,2,3}",
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},
{
"id": 1055027844012585000,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:43:59",
"content": "or {A,B,C}",
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},
{
"id": 1055027862555607000,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:44:03",
"content": "or, all real numbers",
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},
{
"id": 1055027867467137000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 02:44:05",
"content": "Available help channel!",
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},
{
"id": 1055027895493460000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:44:11",
"content": "Aaa ok i knew this",
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},
{
"id": 1055027897653534700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 02:44:12",
"content": "Pinned a message.",
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}
},
{
"id": 1055028048728178700,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:44:48",
"content": "you know, perhaps we should move this discussion?",
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},
{
"id": 1055028166776848400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:45:16",
"content": "Move it where",
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},
{
"id": 1055028238436536300,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:45:33",
"content": "It's my help channel now",
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},
{
"id": 1055028306229071900,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:45:49",
"content": "oh, makes sense",
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},
{
"id": 1055028312432443400,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:45:51",
"content": "anyways",
"attachments": [],
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},
{
"id": 1055028363581993000,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:46:03",
"content": "a cartesian product gets you ordered tuples",
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},
{
"id": 1055028479080529900,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:46:30",
"content": "e.g. {1,2} X {8,7} = {(1,8),(2,8),(1,7),(2,7)}",
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},
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"id": 1055028499246764000,
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"timestamp": "12/21/2022 02:46:35",
"content": "Yes",
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"timestamp": "12/21/2022 02:46:45",
"content": "an example of a relation is ≤",
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"timestamp": "12/21/2022 02:46:48",
"content": "on the reals",
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"timestamp": "12/21/2022 02:46:51",
"content": "or on the rationals",
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:47:17",
"content": "Ok",
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"id": 1055028708429287400,
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"author_name": "Space",
"timestamp": "12/21/2022 02:47:25",
"content": "another example is the relation on the reals that only has (\\pi, \\sqrt(\\pi)) as an element",
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"author_name": "Space",
"timestamp": "12/21/2022 02:47:35",
"content": "as you can see, not all relations have useful structure",
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"id": 1055028809532965000,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:47:49",
"content": "an \"equivalence relations\" satisfied three properties that give useful structure",
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:48:56",
"content": "And what does this have to do with the question",
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"author_name": "Space",
"timestamp": "12/21/2022 02:49:45",
"content": "a relation R on a set A is an equivalence relations iff the following are true [xRy is often used as notation for (x,y) \\in R]\n1. reflexivity: for all a in A, aRa\n2. symmetry: for all a,b in A, aRb -> bRa\n3. transitivity: for all a,b,c in A, aRb and bRc -> aRc",
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"author_name": "Space",
"timestamp": "12/21/2022 02:50:24",
"content": "now define a partition on a set as a subset of the set of all subsets of the set that has the property that any two distinct elements in it are disjoint and that it covers the whole set",
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"author_name": "Space",
"timestamp": "12/21/2022 02:50:43",
"content": "for example, { 1,2,3} has as a partition { {1}, {2,3} }",
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"author_name": "Space",
"timestamp": "12/21/2022 02:51:54",
"content": "oh and the partition doesn't have the empty set in it",
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"author_name": "Space",
"timestamp": "12/21/2022 02:52:27",
"content": "now, every equivalence relations gives rise to a partition, and vice versa",
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"id": 1055030044046663700,
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"author_name": "Space",
"timestamp": "12/21/2022 02:52:44",
"content": "an equivalence class of x is the set of all elements y such that xRy",
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:53:21",
"content": "I think it's best to stop",
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"timestamp": "12/21/2022 02:53:35",
"content": "Since it's too conplicated",
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"author_name": "Master Oogway",
"timestamp": "12/21/2022 02:53:44",
"content": "You're judt wasting your time",
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"id": 1055030316542210000,
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"author_name": "Space",
"timestamp": "12/21/2022 02:53:48",
"content": "now, if you think of representing all points in the plane as [x:y] and you if imagine you only care about the ratio so that [x:y] ~ [ax:ay] under our relation, then the set of all equivalence classes can be thought of as all lines",
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"id": 1055030341947105300,
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"author_name": "Space",
"timestamp": "12/21/2022 02:53:55",
"content": ":(",
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"id": 1055030381331632100,
"author_id": 363718156377784300,
"author_name": "Space",
"timestamp": "12/21/2022 02:54:04",
"content": "believe in yourself",
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"author_name": "Space",
"timestamp": "12/21/2022 02:54:19",
"content": "well, guess i'll sleep",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/21/2022 02:54:20",
"content": "wasnt eq class of x it set of all elements y such that yRx?",
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"author_name": "Space",
"timestamp": "12/21/2022 02:54:30",
"content": "it's the same",
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"timestamp": "12/21/2022 02:54:34",
"content": "because symmetry",
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"id": 1055030523564658800,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/21/2022 02:54:38",
"content": "ohh",
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"id": 1055030527809294300,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/21/2022 02:54:39",
"content": "true",
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"author_name": "Space",
"timestamp": "12/21/2022 02:54:46",
"content": "ok sleepy time",
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"author_name": "idontsleepanymore",
"timestamp": "12/21/2022 02:54:57",
"content": "😞",
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"timestamp": "12/21/2022 02:56:49",
"content": "Good night",
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"timestamp": "12/21/2022 02:56:55",
"content": "Thanks for trying to help @Space",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
4742afc2669b4dc2b70535980e797396
|
200,263 |
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"id": 1055063683388158000,
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"author_name": "beargur",
"timestamp": "12/21/2022 05:06:24",
"content": "hi im watching an organic chemistry video on limits but i had a question about one of the problems he was solving",
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"content": "this was the question, and i paused before the answer to try and figure it out on my own",
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"content": "This is my work",
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"content": "I tried to simplify before substitution",
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"author_name": "Jigglyproff",
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"content": "that second line looks very deadly",
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"id": 1055063994701979600,
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"timestamp": "12/21/2022 05:07:38",
"content": "Which?",
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"id": 1055064072611176400,
"author_id": 599959980552224800,
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"timestamp": "12/21/2022 05:07:57",
"content": "The one right after the q?",
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"author_name": "Jigglyproff",
"timestamp": "12/21/2022 05:08:06",
"content": "you can't just do $(a-b)/(c-d)$ = $(a/(c))-(b/(d))$",
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"timestamp": "12/21/2022 05:08:21",
"content": "Ohhh why not",
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"timestamp": "12/21/2022 05:08:39",
"content": "whoopst forgot",
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"id": 1055064305843851300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/21/2022 05:08:52",
"content": "**Jigglyproff**",
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"timestamp": "12/21/2022 05:09:06",
"content": "you have to distribute the division right",
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"timestamp": "12/21/2022 05:09:41",
"content": "$\\frac{a+b}{c+d}=\\frac{a}{c+d}+\\frac{b}{c+d}$",
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"timestamp": "12/21/2022 05:09:43",
"content": "**Jigglyproff**",
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"author_name": "beargur",
"timestamp": "12/21/2022 05:10:06",
"content": "Oh it goes to both of them?",
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"author_name": "Jigglyproff",
"timestamp": "12/21/2022 05:10:10",
"content": "obviously",
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"timestamp": "12/21/2022 05:10:18",
"content": "Not like a split in the middle thing",
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"timestamp": "12/21/2022 05:10:26",
"content": "its like $(a+b)\\cdot (c+d$",
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"timestamp": "12/21/2022 05:10:28",
"content": "**Jigglyproff**",
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"timestamp": "12/21/2022 05:10:35",
"content": "thats not ac+bd",
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"timestamp": "12/21/2022 05:11:08",
"content": "But if they had one denom I could split it like that?",
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"timestamp": "12/21/2022 05:11:16",
"content": "Like 1-2/3",
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"timestamp": "12/21/2022 05:11:20",
"content": "sure",
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"timestamp": "12/21/2022 05:11:24",
"content": "1/3 - 2/3",
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"timestamp": "12/21/2022 05:11:27",
"content": "yes",
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"timestamp": "12/21/2022 05:11:39",
"content": "Oh okay thank you",
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"content": ".close",
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] |
help-9
|
40966c289b154212a8441d45ce3c6e46
|
200,264 |
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"timestamp": "12/21/2022 05:52:45",
"content": "I am doing rational function transformations. I have a function that is y=(ax+b)/(cx+d). Now the variables have been given and then I was told to increase and decrease at least 3 of the variables to create a transformation and then explain what variables caused the change. I have watched all the videos the teacher has given and I have spent two nights looking stuff up and trying changing one variable at a time and I am still confused. Can someone show or explain to me how to understand what's goin on in these graphs",
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"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 06:07:46",
"content": "@RstyBucket Has your question been resolved?",
"attachments": [],
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"name": "RstyBucket",
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{
"id": 1055083934733566000,
"author_id": 558089305294372860,
"author_name": "RstyBucket",
"timestamp": "12/21/2022 06:26:52",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1055086834213990400,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "12/21/2022 06:38:23",
"content": "I'm not sure about the question either",
"attachments": [],
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},
{
"id": 1055086864010313900,
"author_id": 787992445145055200,
"author_name": "messyinterval",
"timestamp": "12/21/2022 06:38:30",
"content": "me too",
"attachments": [],
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},
{
"id": 1055086884965068900,
"author_id": 787992445145055200,
"author_name": "messyinterval",
"timestamp": "12/21/2022 06:38:35",
"content": "like what transforms",
"attachments": [],
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},
{
"id": 1055086919068954600,
"author_id": 787992445145055200,
"author_name": "messyinterval",
"timestamp": "12/21/2022 06:38:44",
"content": "you can do a laplace or fourier transform",
"attachments": [],
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},
{
"id": 1055086954217226400,
"author_id": 787992445145055200,
"author_name": "messyinterval",
"timestamp": "12/21/2022 06:38:52",
"content": "uhhh idk what else",
"attachments": [],
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"reference": null
},
{
"id": 1055087007413588100,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "12/21/2022 06:39:05",
"content": "Or more probably linear transform",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1055087113399451600,
"author_id": 787992445145055200,
"author_name": "messyinterval",
"timestamp": "12/21/2022 06:39:30",
"content": "aint that just adding a constant to the function?",
"attachments": [],
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},
{
"id": 1055087195893022800,
"author_id": 558089305294372860,
"author_name": "RstyBucket",
"timestamp": "12/21/2022 06:39:50",
"content": "In the second snapshot, I increase all variables with a positive 2 and it moved it down and to the left with a reflection over the y axis",
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},
{
"id": 1055087207494459500,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "12/21/2022 06:39:52",
"content": "I mean, stretching the function too.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1055087235038466000,
"author_id": 787992445145055200,
"author_name": "messyinterval",
"timestamp": "12/21/2022 06:39:59",
"content": "ye",
"attachments": [],
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},
{
"id": 1055092562236559500,
"author_id": 372790660757192700,
"author_name": "Xetrov",
"timestamp": "12/21/2022 07:01:09",
"content": "probably what changing a b c and d does",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1055095079712337900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 07:11:09",
"content": "@RstyBucket Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 558089305294372860,
"name": "RstyBucket",
"discriminator": "4689",
"nickname": "RstyBucket",
"isBot": false
}
],
"reference": null
},
{
"id": 1055102631435046900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/21/2022 07:41:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
fc780a9151294aee83ef0e35b3b63c73
|
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