#help-26 | Mathematics | Page 241

cursive flax Mar 6, 2022, 8:41 PM

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We just need 64° and 146° and tangent theorems (two) to find angle y

candid kindle Mar 6, 2022, 8:43 PM

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So is the system I made the right way to do that?

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Or is there a better way

topaz sinewBOT Mar 6, 2022, 8:44 PM

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cursive flax Mar 6, 2022, 8:45 PM

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Y is angle subtended at centre by those tangents ?

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Or angle made at joining point of tangents

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Here

topaz sinewBOT Mar 6, 2022, 8:45 PM

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neon iron Mar 6, 2022, 8:46 PM

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topaz sinewBOT Mar 6, 2022, 8:46 PM

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neon iron

neon iron Mar 6, 2022, 8:46 PM

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Salutations, i dont know how to find angle V

mellow venture Mar 6, 2022, 8:47 PM

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what's 3. 4

neon iron Mar 6, 2022, 8:48 PM

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length of BC

cursive flax Mar 6, 2022, 8:53 PM

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BC is median?

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Or any other info given apart from measurements

neon iron Mar 6, 2022, 8:55 PM

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3.4 is lenght from B to C

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well, i sent the assignment, ty regardless

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.close

topaz sinewBOT Mar 6, 2022, 8:55 PM

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glossy patrol Mar 6, 2022, 9:10 PM

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how do i find the big-O order of each growth rate

topaz sinewBOT Mar 6, 2022, 9:10 PM

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glossy patrol how do i find the big-O order of each growth rate

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@glossy patrol Has your question been resolved?

sweet shard Mar 6, 2022, 9:34 PM

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glossy patrol how do i find the big-O order of each growth rate

do you not know any of them?

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should probably read a chapter on what it means then. something like
https://brilliant.org/wiki/big-o-notation/

Big O Notation | Brilliant Math & Science Wiki

Big O notation is a notation used when talking about growth rates. It formalizes the notion that two functions "grow at the same rate," or one function "grows faster than the other," and such. It is very commonly used in computer science, when analyzing algorithms. Algorithms have a specific running time, usually declared as a function on its in...

glossy patrol Mar 6, 2022, 9:40 PM

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sweet shard do you not know any of them?

ya ik them

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but like for the first one would it be the greater function

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so 4nlog (n)'s Big O

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so O(n * log(n))

tough nest Mar 6, 2022, 9:41 PM

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yes

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the + 2n is negligable at huge n

glossy patrol Mar 6, 2022, 9:42 PM

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so 1a.) is O(n * log n)

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would 1b) be 2^n

tough nest Mar 6, 2022, 9:44 PM

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well no

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it doesn't contain an n

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unless that is implicit

glossy patrol Mar 6, 2022, 9:44 PM

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exponential growth function

glossy patrol Mar 6, 2022, 9:45 PM

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tough nest unless that is implicit

hmm true

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that is it just a constant

tough nest Mar 6, 2022, 9:45 PM

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2^10 is just a number

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at huge n it's still just a number

glossy patrol Mar 6, 2022, 9:45 PM

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constant

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so O(1)?

tough nest Mar 6, 2022, 9:45 PM

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as far as i know yes

glossy patrol Mar 6, 2022, 9:45 PM

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so O(1) if explicit

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and O(2^n) if implciit

tough nest Mar 6, 2022, 9:46 PM

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if they mean 2^n with n = 10 then it would be O(2^n) otherwise it would be O(1)

idle flax Mar 6, 2022, 9:46 PM

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Ok can someone help me with gaming

glossy patrol Mar 6, 2022, 9:47 PM

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tough nest if they mean 2^n with n = 10 then it would be O(2^n) otherwise it would be O(1)

for 1c) is it O(2^n)

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the log(n) is throwing me off

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but i can just treat that as n right

tired spear Mar 6, 2022, 9:56 PM

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<@&268886789983436800>

mellow venture Mar 6, 2022, 10:02 PM

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:/

topaz sinewBOT Mar 6, 2022, 10:17 PM

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@glossy patrol Has your question been resolved?

topaz sinewBOT Mar 6, 2022, 10:47 PM

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icy pilot Mar 6, 2022, 11:04 PM

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nW5V2YfK7v3MBUlURjIcbW5reBdFjveNffNxKN8IEMoIcUeGrLWDSOrJl3zmD6-oPhYikfi5Rsgn0hq1vYrmPhHgVDJO8o5O6-8de3lN4Z42gpm-xyQUbxNLtAfRtwK9.png

topaz sinewBOT Mar 6, 2022, 11:04 PM

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icy pilot

icy pilot Mar 6, 2022, 11:05 PM

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how does the action of canceling out work?

vital relic Mar 6, 2022, 11:05 PM

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$\frac aa = 1$ when $a\neq 0$

thorny flameBOT Mar 6, 2022, 11:05 PM

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vital relic Mar 6, 2022, 11:05 PM

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You utilize this identity.

icy pilot Mar 6, 2022, 11:08 PM

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Wouldn't you still have 1 somewhere

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is it the fact that

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1 * (fractions) = same thing so need to put it?

vital relic Mar 6, 2022, 11:13 PM

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If you wish to write an extra step

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you can write 1* whatever for every cancellation

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but 1 is the multiplicative identity

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so it will not change anything

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meaning it will go away in the next steps

topaz sinewBOT Mar 6, 2022, 11:24 PM

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@icy pilot Has your question been resolved?

icy pilot Mar 6, 2022, 11:29 PM

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Ok thanks

topaz sinewBOT Mar 6, 2022, 11:29 PM

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topaz sinewBOT Mar 7, 2022, 2:19 AM

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neon iron Mar 7, 2022, 2:38 AM

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Screen_Shot_2022-03-06_at_8.38.17_PM.png

topaz sinewBOT Mar 7, 2022, 2:38 AM

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neon iron

grim jacinth Mar 7, 2022, 2:49 AM

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Start by finding the common difference

chilly kestrel Mar 7, 2022, 2:49 AM

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then find the explicit form of the sequence

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(come on, just one more person for the finishing step!)

neon iron Mar 7, 2022, 2:52 AM

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grim jacinth Start by finding the common difference

(5x-11)-(2x-3) = 3x-8

neon iron Mar 7, 2022, 2:59 AM

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chilly kestrel then find the explicit form of the sequence

An = A1 + (n-1)d

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Happey

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so 2009 = 2x-3 + (2008)3x-8?

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x = 3?

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@chilly kestrel

grim jacinth Mar 7, 2022, 3:05 AM

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You can find the value of the common difference as a number with just the information you're given

neon iron Mar 7, 2022, 3:06 AM

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I did find it

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the common difference was 3x - 8

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wait I found out that x = 4

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so its 5,9,13

grim jacinth Mar 7, 2022, 3:08 AM

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Yup - now you can find 2009

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It'll be a bit far down the sequence, though

neon iron Mar 7, 2022, 3:08 AM

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2009 = 5 + (n-1)4

grim jacinth Mar 7, 2022, 3:08 AM

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Yup 🙂

neon iron Mar 7, 2022, 3:08 AM

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502...?

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ClappyWappy

grim jacinth Mar 7, 2022, 3:08 AM

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Given the nth term of the sequence

neon iron Mar 7, 2022, 3:09 AM

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.close

topaz sinewBOT Mar 7, 2022, 3:09 AM

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neon iron Mar 7, 2022, 3:09 AM

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thanks

topaz sinewBOT Mar 7, 2022, 3:10 AM

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lunar girder Mar 7, 2022, 4:53 AM

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so im on this law of cosine problem but for some reason its wrong ?

topaz sinewBOT Mar 7, 2022, 4:53 AM

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lunar girder so im on this law of cosine problem but for some reason its wrong ?

lunar girder Mar 7, 2022, 4:53 AM

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glossy portal Mar 7, 2022, 4:56 AM

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check ur calculation

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Make sure ur in degree mode

lunar girder Mar 7, 2022, 5:01 AM

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yeah ive check twice

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i wrote it 380 but its 3800.865486 instead

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i have no idea, what im doing wrong ??

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glossy portal Mar 7, 2022, 5:19 AM

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Oh my bad

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divide by 2

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It's only 30

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min

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Lmao

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I am blind I guess

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Everything should be divide by 2. Cuz it travels from 2:00 pm to 2:30 pm. It takes half.

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cos35 stay same

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58/2 and 40/2. You should have answer from there

lunar girder Mar 7, 2022, 5:21 AM

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okok

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omg yeah

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thanks i didnt even think about it the time difference

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.close

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gritty laurel Mar 7, 2022, 6:13 AM

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the value of c (perfect square) in the trinomial y² - 18y + c | then the answer c written as a binomial

topaz sinewBOT Mar 7, 2022, 6:13 AM

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gritty laurel the value of c (perfect square) in the trinomial y² - 18y + c | then the ans...

gritty laurel Mar 7, 2022, 6:13 AM

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i got the value c

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which is 81

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i need help making the binomial

sweet shard Mar 7, 2022, 6:14 AM

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i ask again, what does "making binomial" mean

sweet shard Mar 7, 2022, 6:15 AM

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gritty laurel the value of c (perfect square) in the trinomial y² - 18y + c | then the ans...

~~also nothing about this expression is "trinomial"~~

gritty laurel Mar 7, 2022, 6:16 AM

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according to the question

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that is a trinomial

sweet shard Mar 7, 2022, 6:16 AM

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oh i stand corrected

gritty laurel Mar 7, 2022, 6:16 AM

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then maybe the binomial is just y² + 81

sweet shard Mar 7, 2022, 6:17 AM

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show the entire question

leaden tusk Mar 7, 2022, 6:17 AM

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pretty sure all you need to do is factor lmao

gritty laurel Mar 7, 2022, 6:17 AM

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leaden tusk Mar 7, 2022, 6:17 AM

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yep

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the wonders of knowing the full question instead of 80% of the full question

sweet shard Mar 7, 2022, 6:17 AM

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you missed the "squared" in "binomial squared"

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this is a binomial (x-a)

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this is a binomial squared (x-a)^2

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QED

gritty laurel Mar 7, 2022, 6:18 AM

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so?

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what now

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81²?

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@leaden tusk i'm still lost who

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that's the second answer

sweet shard Mar 7, 2022, 6:20 AM

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expand (x-a)^2

gritty laurel Mar 7, 2022, 6:21 AM

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bro that just confuses me more

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cuz a is 1

sweet shard Mar 7, 2022, 6:22 AM

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do you know what binomial is?

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write an example of a binomial

gritty laurel Mar 7, 2022, 6:23 AM

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a² + b?

sweet shard Mar 7, 2022, 6:23 AM

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right

gritty laurel Mar 7, 2022, 6:24 AM

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so my answer is y² + 81?

sweet shard Mar 7, 2022, 6:24 AM

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you have (x^2 -2a + a^2)

sweet shard Mar 7, 2022, 6:24 AM

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sweet shard expand (x-a)^2

which is this expanded

gritty laurel Mar 7, 2022, 6:25 AM

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sigh i'm still lost

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what are u trying to say

sweet shard Mar 7, 2022, 6:26 AM

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gritty laurel sigh i'm still lost

what don't you understand

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about (x-a)^2 = x^2 - 2a + a^2 ?

gritty laurel Mar 7, 2022, 6:26 AM

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could you tell me the answer

sweet shard Mar 7, 2022, 6:27 AM

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no

gritty laurel Mar 7, 2022, 6:27 AM

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then explain it

leaden tusk Mar 7, 2022, 6:27 AM

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he's trying

sweet shard Mar 7, 2022, 6:27 AM

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sweet shard about (x-a)^2 = x^2 - 2a + a^2 ?

.

leaden tusk Mar 7, 2022, 6:27 AM

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you're not listening

gritty laurel Mar 7, 2022, 6:27 AM

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i am

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i'm just not understanding

sweet shard Mar 7, 2022, 6:27 AM

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be a little more helpful than "i don't get it"

leaden tusk Mar 7, 2022, 6:27 AM

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"what don't you understand" >"tell me answer"

gritty laurel Mar 7, 2022, 6:27 AM

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cuz usually a is the first value

sweet shard Mar 7, 2022, 6:28 AM

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how am i supposed to know that?

gritty laurel Mar 7, 2022, 6:28 AM

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and since its y² it'll be 1

sweet shard Mar 7, 2022, 6:28 AM

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pick another letter

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(x-t)^2 = x^2 - 2t + t^2

sweet shard Mar 7, 2022, 6:29 AM

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sweet shard (x-t)^2 = x^2 - 2t + t^2

you have the left hand side. figure out what t equals

gritty laurel Mar 7, 2022, 6:29 AM

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9?

sweet shard Mar 7, 2022, 6:30 AM

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there, you're done

sweet shard Mar 7, 2022, 6:30 AM

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sweet shard this is a binomial squared (x-a)^2

.

gritty laurel Mar 7, 2022, 6:30 AM

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so it's y² + 9²

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?

sweet shard Mar 7, 2022, 6:31 AM

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sweet shard (x-t)^2 = x^2 - 2t + t^2

left hand side

gritty laurel Mar 7, 2022, 6:31 AM

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(y-9)^2

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i'm dumb founded

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hello?

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it's late and i really need to finish this but i'm not understanding what you're saying

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.close

topaz sinewBOT Mar 7, 2022, 6:34 AM

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Channel closed

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sweet shard Mar 7, 2022, 6:34 AM

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gritty laurel (y-9)^2

right

topaz sinewBOT Mar 7, 2022, 6:35 AM

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sweet shard Mar 7, 2022, 6:35 AM

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gritty laurel (y-9)^2

expand this to be sure

topaz sinewBOT Mar 7, 2022, 6:35 AM

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sweet shard expand this to be sure

sweet shard Mar 7, 2022, 6:36 AM

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.close

topaz sinewBOT Mar 7, 2022, 6:36 AM

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fierce harbor Mar 7, 2022, 7:06 AM

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I don't understand this last part my notes. I need bit more explanation.

topaz sinewBOT Mar 7, 2022, 7:06 AM

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fierce harbor I don't understand this last part my notes. I need bit more explanation.

fierce harbor Mar 7, 2022, 7:07 AM

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I just don't know wha it means by ×=5 not in the domain or where they even got 27/4 from

narrow torrent Mar 7, 2022, 7:07 AM

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Ok. Let me ask you something.

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What is 1/0?

fierce harbor Mar 7, 2022, 7:08 AM

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0

narrow torrent Mar 7, 2022, 7:08 AM

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Are you sure

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,calc 1/0

thorny flameBOT Mar 7, 2022, 7:08 AM

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Result:

Infinity

fierce harbor Mar 7, 2022, 7:08 AM

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Oh

narrow torrent Mar 7, 2022, 7:08 AM

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When the denominator of a function is 0, we say that the expression is undefined

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Because division by 0 is not defined within the real numbers

fierce harbor Mar 7, 2022, 7:10 AM

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Oh

narrow torrent Mar 7, 2022, 7:10 AM

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So to find the points at which an expression is undefined, you can set the denominator equal to 0, and those are the points which will not be a part of the domain

fierce harbor Mar 7, 2022, 7:11 AM

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5 is undefined because it's 5/0

narrow torrent Mar 7, 2022, 7:12 AM

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Not quite

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What is h(x)

vale jacinth Mar 7, 2022, 7:12 AM

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He can find h(x) though

fierce harbor Mar 7, 2022, 7:13 AM

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h(x)=x+2/x-5

vale jacinth Mar 7, 2022, 7:13 AM

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By finding a matrix A such that A^2=
(3 -8
-4 27)

narrow torrent Mar 7, 2022, 7:13 AM

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Yep. What happens when x = 5?

fierce harbor Mar 7, 2022, 7:13 AM

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5-5 will be 0

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The denominator going be 0

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Right

narrow torrent Mar 7, 2022, 7:14 AM

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(5+2)/(5-5)

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Which is 7/0

fierce harbor Mar 7, 2022, 7:15 AM

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That makes since but where did they get 27/4 from

narrow torrent Mar 7, 2022, 7:15 AM

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By setting the denominator of h(h(x)) equal to 0

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h(h(x)) = (3x-8)/(-4x+27)

vital relic Mar 7, 2022, 7:17 AM

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One thing to notice is:
We know x = 5 is not possible for h(x). We exclude this from the domain.

That means when we compute h(h(x)), firstly x cannot be 5 for the inside h(x).

Secondly h(x) itself cannot be 5. Because we are inputting the inside h(x) as a parameter into the outside h.

That is the idea behind why there are 2 points we cannot input, and not just 1.

fierce harbor Mar 7, 2022, 7:18 AM

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Oh so -4(27/4)+27 equals 0

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Now I understand

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Thanks

fierce harbor Mar 7, 2022, 7:19 AM

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vital relic One thing to notice is: We know x = 5 is not possible for h(x). We exclude this ...

Oh okie that very helpful

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I add this information with my notes

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Thank you alot

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.close

topaz sinewBOT Mar 7, 2022, 7:22 AM

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normal marsh Mar 7, 2022, 7:43 AM

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Explain why there does not exist a rational function $r$ such that $r(x) = 2^x$ for every real number x.

topaz sinewBOT Mar 7, 2022, 7:43 AM

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normal marsh Explain why there does not exist a rational function $r$ such that $r(x) = 2^x$ ...

thorny flameBOT Mar 7, 2022, 7:43 AM

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Jef Costello

vital relic Mar 7, 2022, 7:44 AM

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,w rational function

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can you define it

normal marsh Mar 7, 2022, 7:46 AM

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A rational function is a function r such that $r(x) = \frac {p(x)}{q(x)}$, where $p$ and $q$ are polynomials, with $q\neq 0$

thorny flameBOT Mar 7, 2022, 7:46 AM

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Jef Costello

vital relic Mar 7, 2022, 7:48 AM

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feels like an odd question to me

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topic?

normal marsh Mar 7, 2022, 7:48 AM

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exponential and logarithm functions

vital relic Mar 7, 2022, 7:48 AM

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I have not much clue what the approach is meant to be

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maybe repetitive differentiation

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Suppose there is

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then you can equate

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and multiply both sides by q(x)

vital relic Mar 7, 2022, 7:50 AM

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vital relic maybe repetitive differentiation

and do this ig

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maybe theres a better approach

normal marsh Mar 7, 2022, 7:50 AM

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hmmm

vital relic Mar 7, 2022, 7:52 AM

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another approach is to attempt bounding I guess

normal marsh Mar 7, 2022, 7:53 AM

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okay

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how does that work?

vital relic Mar 7, 2022, 7:53 AM

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2^x is an exponential

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these grow faster than polynomials

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so you find a way to show this with inequalities

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For example
q = 1
p = x^2

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I can show that p < 2^x for any x greater than 10 for example

vital relic Mar 7, 2022, 7:55 AM

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normal marsh Explain why there does not exist a rational function $r$ such that $r(x) = 2^x$ ...

ahhh i have another idea
consider only integer inputs

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2^x will keep doubling

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You goal is to show p/q cannot keep doubling forever

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I think this sounds easier but not totally sure hmm

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Theres also the fact 2^x is a strictly increasing always positive function

normal marsh Mar 7, 2022, 7:57 AM

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I have an idea

vital relic Mar 7, 2022, 7:57 AM

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Maybe you can show there is no such p/q that can satisfy this via differentiation

normal marsh Mar 7, 2022, 7:59 AM

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$r(x) = \frac {2^{x + 2}}{2^2}$

thorny flameBOT Mar 7, 2022, 7:59 AM

#

Jef Costello

vital relic Mar 7, 2022, 7:59 AM

#

Ahhh i have an actual solution finally 😂 but lets hear yours first

vale jacinth Mar 7, 2022, 7:59 AM

#

Of course not, if there exists p(x)/q(x)=2^x

vital relic Mar 7, 2022, 7:59 AM

#

yes yes that is the good and simple idea

vale jacinth Mar 7, 2022, 8:00 AM

#

Then limit of p(x)/q(x) when x approaches positive and minus infinitely respectively are (infinity, infinity ) or (0,0) or (non-zero real number , non-zero real number) but the limit of 2^x when x approaches positive and minus infinity respectively is (positive infinity,0) they don’t match.

vital relic Mar 7, 2022, 8:01 AM

#

that is good solution also

normal marsh Mar 7, 2022, 8:01 AM

#

thorny flame **Jef Costello**

so with this we can look at the values of r(x) when mod(x) is bigger

vital relic Mar 7, 2022, 8:01 AM

#

Ah i was thinking this instead

#

consider r(2x) = r(x)^2

#

Then use an argument about mismatching degrees

normal marsh Mar 7, 2022, 8:02 AM

#

oh okay

normal marsh Mar 7, 2022, 8:11 AM

#

vale jacinth Then limit of p(x)/q(x) when x approaches positive and minus infinitely respecti...

gotcha catthumbsup

topaz sinewBOT Mar 7, 2022, 8:26 AM

#

@normal marsh Has your question been resolved?

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leaden frigate Mar 7, 2022, 10:30 PM

#

Hello! I was wondering if I could get help on this "improper integral on an infinite domain" problem? I'm mainly just stuck on the actual integral part. I tried the u-substitution as shown but it seems to get more complicated so I'm lost lol.

topaz sinewBOT Mar 7, 2022, 10:30 PM

#

leaden frigate Hello! I was wondering if I could get help on this "improper integral on an infi...

#

@leaden frigate Has your question been resolved?

leaden frigate Mar 7, 2022, 10:47 PM

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.close

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topaz sinewBOT Mar 8, 2022, 1:42 AM

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tawdry steppe Mar 8, 2022, 2:22 AM

#

How do I know when to apply sandwich/squeeze theorem over something else?

topaz sinewBOT Mar 8, 2022, 2:22 AM

#

tawdry steppe How do I know when to apply sandwich/squeeze theorem over something else?

wooden matrix Mar 8, 2022, 2:22 AM

#

you typically don't know

tawdry steppe Mar 8, 2022, 2:23 AM

#

for example I have the question lim x->infinity sinx/x

wooden matrix Mar 8, 2022, 2:23 AM

#

you try stuff and see what works

#

yeah that you should be able to use squeeze law on

tawdry steppe Mar 8, 2022, 2:23 AM

#

so if I tried continuity first and it failed, then go to sandwich?

wooden matrix Mar 8, 2022, 2:24 AM

#

wdym tried continuity?

tawdry steppe Mar 8, 2022, 2:24 AM

#

like uhh sorry i don't remember the proper name, still just learning, but when you can move the limit inside of a composite function if it's continuous

wooden matrix Mar 8, 2022, 2:25 AM

#

yeah that won't help

tawdry steppe Mar 8, 2022, 2:25 AM

#

like lim x-> infinity sin x becoming sin lim x-> infinity x

wooden matrix Mar 8, 2022, 2:25 AM

#

yeah that's just false

#

but yeah, you can use squeeze law

#

$-1\leq\sin(x)\leq 1$

thorny flameBOT Mar 8, 2022, 2:25 AM

#

Mosh

tawdry steppe Mar 8, 2022, 2:26 AM

#

and then divide by x right?

wooden matrix Mar 8, 2022, 2:26 AM

#

yes since x is not 0

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cause we're going out to infinity

keen venture Mar 8, 2022, 2:26 AM

#

tawdry steppe like lim x-> infinity sin x becoming sin lim x-> infinity x

Worth noticing that sin is not continuous at x = inf, whatever that might have meant. So the limit doesn't work that way

wooden matrix Mar 8, 2022, 2:27 AM

#

This too, you should never try to evaluate an infinite limit explicitly

tawdry steppe Mar 8, 2022, 2:27 AM

#

ok thanks

#

.close

topaz sinewBOT Mar 8, 2022, 2:27 AM

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neon iron Mar 8, 2022, 2:33 AM

#

Screen_Shot_2022-03-07_at_8.33.16_PM.png

topaz sinewBOT Mar 8, 2022, 2:33 AM

#

neon iron

topaz egret Mar 8, 2022, 2:42 AM

#

try letting n=4 and see what you find

#

does that help?

neon iron Mar 8, 2022, 2:45 AM

#

@topaz egret

#

like let the total be 4 or n be 4

topaz egret Mar 8, 2022, 2:45 AM

#

let n be 4

neon iron Mar 8, 2022, 2:46 AM

#

so

#

u6 = 2(u5) + u4

#

it looks like a term is sum of two times the previous term and the one 2 previous before

topaz egret Mar 8, 2022, 2:47 AM

#

good now do the same for n=3

neon iron Mar 8, 2022, 2:47 AM

#

u5 = 2(u4) + u3

#

u5 = 2(u4) + 9

topaz egret Mar 8, 2022, 2:48 AM

#

good now sub in values for u3 and u6 and you can solve simultaneous equatiosn

neon iron Mar 8, 2022, 2:49 AM

#

what does that mean

#

what values do I sub in

#

@topaz egret

topaz egret Mar 8, 2022, 2:51 AM

#

for n=4 you have
u6 = 2(u5) + u4
for n=3 you have
u5 = 2(u4) + u3
and you know u3=9 and u6=128 sub them into the above equations and solve

neon iron Mar 8, 2022, 2:51 AM

#

oh ok

#

128 = 2(u5) + u4

#

u5 = 2(u4) + 9

topaz egret Mar 8, 2022, 2:52 AM

#

yep

neon iron Mar 8, 2022, 2:52 AM

#

systems of equations?

topaz egret Mar 8, 2022, 2:52 AM

#

yes

neon iron Mar 8, 2022, 2:52 AM

#

ok

#

👍

#

uh

#

I got u4 = 22

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and 5u = 53

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@topaz egret

topaz egret Mar 8, 2022, 2:54 AM

#

lemme check

neon iron Mar 8, 2022, 2:54 AM

#

is that correect?

#

oke

#

Happey

topaz egret Mar 8, 2022, 2:56 AM

#

yep

#

all good

novel stratus Mar 8, 2022, 2:59 AM

#

I was able to get up to not q or p

#

<@&286206848099549185>

topaz sinewBOT Mar 8, 2022, 3:09 AM

#

@neon iron Has your question been resolved?

#

Channel closed

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prime hollow Mar 8, 2022, 3:14 AM

#

Screen_Shot_2022-03-07_at_9.14.13_PM.png

topaz sinewBOT Mar 8, 2022, 3:14 AM

#

prime hollow

#

@prime hollow Has your question been resolved?

prime hollow Mar 8, 2022, 3:54 AM

#

<@&286206848099549185>

prime hollow Mar 8, 2022, 4:14 AM

#

.close

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remote vector Mar 8, 2022, 4:35 AM

#

Hi so I need some math help, its comp math stuff not very difficult i think i just want someone to help me out and explain the thinking behind solving them and stuff

topaz sinewBOT Mar 8, 2022, 4:35 AM

#

remote vector Hi so I need some math help, its comp math stuff not very difficult i think i ju...

remote vector Mar 8, 2022, 4:35 AM

#

especially for probobility

#

#

like how would i do this

marsh slate Mar 8, 2022, 4:40 AM

#

which one do you need help with?

remote vector Mar 8, 2022, 4:40 AM

#

all of them ig

#

lets start with the first one tho

#

do i have to do something with grouping?

marsh slate Mar 8, 2022, 4:41 AM

#

the first one i dont see the entire problem

#

is the po polynimials?

remote vector Mar 8, 2022, 4:41 AM

#

mb

#

#

yea its polynomials

marsh slate Mar 8, 2022, 4:48 AM

#

try to see if you can make any of them perfect squares

remote vector Mar 8, 2022, 4:48 AM

#

I see x^2 - 9?

marsh slate Mar 8, 2022, 4:48 AM

#

thats difference of squares

#

look at x^2, m^2, and xm terms

remote vector Mar 8, 2022, 4:50 AM

#

oooh so (x+4m)^2 ?

marsh slate Mar 8, 2022, 4:50 AM

#

yea

#

so the rest of the expression are p terms

#

what can you do with them

remote vector Mar 8, 2022, 4:51 AM

#

factor out 5p?

marsh slate Mar 8, 2022, 4:51 AM

#

no

remote vector Mar 8, 2022, 4:51 AM

#

wait just factor the remaning quadratic right

#

lemme try to do that

#

so is it (-5p+3)^2

marsh slate Mar 8, 2022, 4:54 AM

#

remote vector so is it (-5p+3)^2

expand that, see if its correct

remote vector Mar 8, 2022, 4:57 AM

#

wait ahhh how do i factor again 😭

#

i have the right numbers just need the right signs

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wait i think i got it yea

#

-(5p-3)^2

neon iron Mar 8, 2022, 4:58 AM

#

FOIL to expand

#

ac=b to factor

remote vector Mar 8, 2022, 4:59 AM

#

yea i was just doing a dumb way of factoring since i suck at doing it normally 😭

#

ok i got it

#

now

#

(x+4m)^2 * -(5p-3)^2

#

is that it?

marsh slate Mar 8, 2022, 4:59 AM

#

you need a product

#

so now you have $(x+4m)^2-(5p-3)^2$

thorny flameBOT Mar 8, 2022, 5:00 AM

#

R31_

remote vector Mar 8, 2022, 5:01 AM

#

ah ok so would i just multiply them like (x+4m)(5p-3) ?

neon iron Mar 8, 2022, 5:01 AM

#

carries to the outside

#

$(x+4m)^2*-1(5p-3)^2$

thorny flameBOT Mar 8, 2022, 5:01 AM

#

DoomKing

neon iron Mar 8, 2022, 5:02 AM

#

is what you actually have

#

which contracts to $-(x+4m)(5p-3)$

thorny flameBOT Mar 8, 2022, 5:02 AM

#

DoomKing

marsh slate Mar 8, 2022, 5:02 AM

#

no

#

the 2 square terms are subtracting

#

not multiplying

neon iron Mar 8, 2022, 5:02 AM

#

oh wait i misread the question

#

woops

marsh slate Mar 8, 2022, 5:04 AM

#

remote vector ah ok so would i just multiply them like (x+4m)(5p-3) ?

what do you mean by that

remote vector Mar 8, 2022, 5:05 AM

#

yea im kind of confused im thinking i can just do (x+4m)^2 - (5p-3)^2 = (x+4m)(5p-3)... obv that makes no sense now im thinking about it

#

how do i make it into a product

marsh slate Mar 8, 2022, 5:06 AM

#

do you know how to factor $m^2-n^2$

thorny flameBOT Mar 8, 2022, 5:06 AM

#

R31_

remote vector Mar 8, 2022, 5:06 AM

#

waittt i got it ahhhh ok so its (x+4m + 5p - 3)(x+4m - 5p +3) right

#

now it makes more sense lol

remote vector Mar 8, 2022, 5:06 AM

#

thorny flame **R31\_**

i just realized this

#

that would be my final answer

marsh slate Mar 8, 2022, 5:07 AM

#

yep

remote vector Mar 8, 2022, 5:08 AM

#

oh ok thx for that

#

r u able to help me with the other problems or?

marsh slate Mar 8, 2022, 5:08 AM

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sure

remote vector Mar 8, 2022, 5:08 AM

#

ok so how would i do the continued fraction thing that is.... very intimidating lol

#

marsh slate Mar 8, 2022, 5:10 AM

#

try substituting x infinitely and tile them

#

(or just work from the bottom and simplify each fraction one by one)

neon iron Mar 8, 2022, 5:10 AM

#

or u can simplify the fraction

remote vector Mar 8, 2022, 5:12 AM

#

wait

#

is x 1

#

i feel like i did something wrong

marsh slate Mar 8, 2022, 5:12 AM

#

there are 2 solutions

marsh slate Mar 8, 2022, 5:12 AM

#

remote vector i feel like i did something wrong

what did you do?

remote vector Mar 8, 2022, 5:13 AM

#

acc i didnt do anything wrong i just guessed lol so how would u do it analytically again

marsh slate Mar 8, 2022, 5:13 AM

#

marsh slate (or just work from the bottom and simplify each fraction one by one)

do this

marsh slate Mar 8, 2022, 5:13 AM

#

marsh slate try substituting x infinitely and tile them

or this

remote vector Mar 8, 2022, 5:14 AM

#

if i did tiling what am i supposed to do to cancel it all

marsh slate Mar 8, 2022, 5:15 AM

#

if you tile them youd get this right

#

neon iron Mar 8, 2022, 5:16 AM

#

is the fraction repeating or is it just what you are given

remote vector Mar 8, 2022, 5:16 AM

#

marsh slate

yea i get this but how woudl i derive the actual number

remote vector Mar 8, 2022, 5:17 AM

#

neon iron is the fraction repeating or is it just what you are given

its a continued fraction

neon iron Mar 8, 2022, 5:17 AM

#

then tiling is better imo

marsh slate Mar 8, 2022, 5:18 AM

#

#

notice that the 2 circles are the same thing

remote vector Mar 8, 2022, 5:20 AM

#

yea...

#

would u do a variable sub then?

#

no that would just bring us to where we started hmm

marsh slate Mar 8, 2022, 5:21 AM

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so the entire thing is x right

remote vector Mar 8, 2022, 5:21 AM

#

yes

marsh slate Mar 8, 2022, 5:21 AM

#

so the smaller circle is..?

remote vector Mar 8, 2022, 5:21 AM

#

also x?

#

since they repeat

marsh slate Mar 8, 2022, 5:21 AM

#

yea

#

so $\frac{2}{3-x}=x$

thorny flameBOT Mar 8, 2022, 5:22 AM

#

R31_

remote vector Mar 8, 2022, 5:22 AM

#

ohhhhhhhh ok ok ok ok broooo im so bad at seeing these patterns and stuff

#

and u would get x = 2 or x = 1

marsh slate Mar 8, 2022, 5:23 AM

#

yes

remote vector Mar 8, 2022, 5:23 AM

#

for the continued fraction thing, would all comp math questions be similar like that

#

where u would be able to subsitute x like that

#

or would u have to do something else

marsh slate Mar 8, 2022, 5:24 AM

#

you only get problems like those like not that much

#

and sometimes you cant just substitute x because you dont know if x exists, but comp math probably wont do that

remote vector Mar 8, 2022, 5:26 AM

#

hm ok thanks a lot for your help

#

i think im done for the day

#

i really appreciate everything u did now this stuff makes more sense

#

.close

topaz sinewBOT Mar 8, 2022, 5:26 AM

#

Channel closed

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topaz sinewBOT Mar 9, 2022, 2:33 AM

#

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stuck sorrel Mar 9, 2022, 3:06 AM

#

How would I prove the statement?

topaz sinewBOT Mar 9, 2022, 3:06 AM

#

stuck sorrel How would I prove the statement?

stuck sorrel Mar 9, 2022, 3:13 AM

#

Nevermind I have successfully done it

#

.close

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graceful elk Mar 9, 2022, 3:44 AM

#

topaz sinewBOT Mar 9, 2022, 3:44 AM

#

graceful elk

graceful elk Mar 9, 2022, 3:44 AM

#

I don't understand

leaden tusk Mar 9, 2022, 3:49 AM

#

have you tried anything

graceful elk Mar 9, 2022, 3:55 AM

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No I just started the unit

#

the only knowledge I have so far is restrictions

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Like repeating, vowels, first letter being a specific

#

for this I tried doing 9x8x7x6x5x4x3x2x1

teal sigil Mar 9, 2022, 3:57 AM

#

first thing, don’t ask to ask, second thing, use the vacant help channel above

graceful elk Mar 9, 2022, 4:07 AM

#

?

teal sigil Mar 9, 2022, 4:07 AM

#

graceful elk for this I tried doing 9x8x7x6x5x4x3x2x1

gonna give you a clue

we have 9 switches
each switch can be 0,1,2 (3 states)
then every switch, 3 states each

teal sigil Mar 9, 2022, 4:07 AM

#

graceful elk ?

uhh was talking to another guy who slammed the question in the occupied channel

graceful elk Mar 9, 2022, 4:08 AM

#

oh kk

graceful elk Mar 9, 2022, 4:08 AM

#

teal sigil gonna give you a clue 1. we have 9 switches 2. each switch can be 0,1,2 (3 stat...

why just 0,1,2

#

where did u get those #s from?

teal sigil Mar 9, 2022, 4:10 AM

#

i just made those up so I can start representing switches with numbers

teal sigil Mar 9, 2022, 4:10 AM

#

graceful elk

so that should be 120211011

graceful elk Mar 9, 2022, 4:10 AM

#

Why is it only 3 states only

#

is that made up too

#

?

teal sigil Mar 9, 2022, 4:11 AM

#

oh, it is in the problem

graceful elk Mar 9, 2022, 4:11 AM

#

ohh

teal sigil Mar 9, 2022, 4:11 AM

#

moving 9 switches to any one of 3 positions

graceful elk Mar 9, 2022, 4:11 AM

#

3 positions

#

makes sense

#

wait so u made up those numbers right 0,1,2?

#

can I do it with for ex

#

4,5,6

#

?

teal sigil Mar 9, 2022, 4:12 AM

#

yes you can, if you can distinguish between 3 states

graceful elk Mar 9, 2022, 4:12 AM

#

will all give the same answer tho

#

because would it not make sense

teal sigil Mar 9, 2022, 4:13 AM

#

teal sigil so that should be 120211011

now we want to count how many numbers are like this

#

for example, 000000000 or 120102000

teal sigil Mar 9, 2022, 4:14 AM

#

graceful elk will all give the same answer tho

i will show you that later, for now let us solve this question

graceful elk Mar 9, 2022, 4:14 AM

#

okk

#

ok so 3 positions

#

teal sigil Mar 9, 2022, 4:15 AM

#

#

each switch has 3 positions, if you have two switches for example that would be
00,01,02,10,11,12,20,21,22

#

now try apply that to 9 switches

graceful elk Mar 9, 2022, 4:16 AM

#

Same thing as u did right?

teal sigil Mar 9, 2022, 4:17 AM

#

teal sigil each switch has 3 positions, if you have two switches for example that would be ...

first switch = 3
second switch = 3
combination = 3*3 = 9

graceful elk Mar 9, 2022, 4:17 AM

#

im still quite confused

teal sigil Mar 9, 2022, 4:17 AM

#

let me start over

#

imagine you are flicking that switches

graceful elk Mar 9, 2022, 4:18 AM

#

from 1 to 9?

teal sigil Mar 9, 2022, 4:18 AM

#

yes

#

now let’s start with the first switch

#

how many options do you think you have for the first switch

graceful elk Mar 9, 2022, 4:19 AM

#

1

#

wait

#

2

#

NVM 3

#

because there is a top middle and down

#

?

teal sigil Mar 9, 2022, 4:20 AM

#

yes

graceful elk Mar 9, 2022, 4:20 AM

#

u can stop at each of those

#

mhm

teal sigil Mar 9, 2022, 4:20 AM

#

now how about the second switch

#

how many options do you think you have

graceful elk Mar 9, 2022, 4:20 AM

#

same thing?

teal sigil Mar 9, 2022, 4:21 AM

#

3, right?

graceful elk Mar 9, 2022, 4:21 AM

#

ye

teal sigil Mar 9, 2022, 4:21 AM

#

now you repeat this until the ninth switch

#

you will find that each switch has 3 options each

#

so to find the combinations of all nine switches

#

how would you do it

graceful elk Mar 9, 2022, 4:23 AM

#

Ok so this is how I thought of it

#

since I'm using my three options

#

I only did the 3 options 6 different plates

#

let me show you

#

#

got 729

teal sigil Mar 9, 2022, 4:24 AM

#

okay

#

how about 9 switches

graceful elk Mar 9, 2022, 4:24 AM

#

19683

teal sigil Mar 9, 2022, 4:25 AM

#

okay thats right

graceful elk Mar 9, 2022, 4:25 AM

#

ohh

#

OHH

#

sorry I thought the # I got from doing that was wrong

#

didnt notice it as an answer option

#

so I tried an opposite way

#

ended up with an answer that I saw on the options

#

I have 1 more quesiton

teal sigil Mar 9, 2022, 4:26 AM

#

go on

graceful elk Mar 9, 2022, 4:26 AM

#

teal sigil Mar 9, 2022, 4:26 AM

#

so, what is the requirement of the word tho

graceful elk Mar 9, 2022, 4:26 AM

#

wym

teal sigil Mar 9, 2022, 4:27 AM

#

like if it needs to have one vowel, or one letter, or just freestyle

graceful elk Mar 9, 2022, 4:27 AM

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oh mb

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https://cdn.discordapp.com/attachments/903486479064522752/950972755468222494/unknown.png

#

its this alone

teal sigil Mar 9, 2022, 4:27 AM

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ok

#

this question

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try using the same switch logics

#

firstly, how many option i can give a gold medal to 8 competitors?

graceful elk Mar 9, 2022, 4:29 AM

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3

#

gold, silver, and bronze

teal sigil Mar 9, 2022, 4:29 AM

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nope

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i mean just the gold medal

graceful elk Mar 9, 2022, 4:29 AM

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1

teal sigil Mar 9, 2022, 4:30 AM

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let me tell you, it is 8

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you pick one from 8 competitors to get 1 gold medal

graceful elk Mar 9, 2022, 4:31 AM

#

yup

teal sigil Mar 9, 2022, 4:31 AM

#

how about silver medal

graceful elk Mar 9, 2022, 4:31 AM

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just 1 aswell

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can't be 2 people winning 2nd

teal sigil Mar 9, 2022, 4:32 AM

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let’s start again

#

we have 8 guys right here

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and one gold medal

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how many options you can give the gold medal

graceful elk Mar 9, 2022, 4:33 AM

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8

teal sigil Mar 9, 2022, 4:33 AM

#

ok

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now we have one guy getting a gold medal

#

how many options I could give a silver medal here

graceful elk Mar 9, 2022, 4:34 AM

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7

teal sigil Mar 9, 2022, 4:34 AM

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yeah, now without image

#

how about the bronze medal, how many options

graceful elk Mar 9, 2022, 4:35 AM

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6

teal sigil Mar 9, 2022, 4:35 AM

#

ok so we have
8 ways to give gold medal
7 ways to give silver medal
6 ways to give bronze medal

#

what will you do

graceful elk Mar 9, 2022, 4:36 AM

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multiply them

#

8 x 7 x 6

teal sigil Mar 9, 2022, 4:37 AM

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ok

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correct

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now i wanna say, each of them is the subproblem of the last problem alright

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first problem is, giving a gold medal

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second problem is, giving a silver medal while one of them already got a medal

#

third problem, you can work that out

graceful elk Mar 9, 2022, 4:39 AM

#

so the answer isnt 316

#

?

#

336*

teal sigil Mar 9, 2022, 4:42 AM

#

yeah it’s 336

graceful elk Mar 9, 2022, 4:44 AM

#

Do you have any tips on what I should focus on

#

with counting methods

#

so i'm better in the future?

teal sigil Mar 9, 2022, 4:48 AM

#

maybe start on how counting works

#

from addition principle and multiplication principle

graceful elk Mar 9, 2022, 4:50 AM

#

ok ty

teal sigil Mar 9, 2022, 4:50 AM

#

this will be really helpful and you will work out on combinations and permutations after this

topaz sinewBOT Mar 9, 2022, 5:05 AM

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@graceful elk Has your question been resolved?

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mortal jackal Mar 9, 2022, 5:33 AM

#

i just want to make sure i dont have the wrong idea about reduced echelon form, it just refers to 0 on top of the pivot column and below the pivot column right?

topaz sinewBOT Mar 9, 2022, 5:33 AM

#

mortal jackal i just want to make sure i dont have the wrong idea about reduced echelon form, ...

mortal jackal Mar 9, 2022, 5:34 AM

#

and echelon form only refers to 0 below the pivot columns?

topaz sinewBOT Mar 9, 2022, 5:49 AM

#

@mortal jackal Has your question been resolved?

mortal jackal Mar 9, 2022, 5:51 AM

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.close

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neon iron Mar 9, 2022, 8:22 AM

#

topaz sinewBOT Mar 9, 2022, 8:22 AM

#

neon iron

neon iron Mar 9, 2022, 8:22 AM

#

can someone check over my work? thanks

hollow hedge Mar 9, 2022, 8:30 AM

#

,rotate

thorny flameBOT Mar 9, 2022, 8:31 AM

#

hollow hedge Mar 9, 2022, 8:31 AM

#

if they are three consecutive terms in a geometric sequence then you are wrong

topaz sinewBOT Mar 9, 2022, 8:37 AM

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@neon iron Has your question been resolved?

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copper ether Mar 9, 2022, 9:01 AM

#

I'm curious on how to solve this

topaz sinewBOT Mar 9, 2022, 9:01 AM

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copper ether I'm curious on how to solve this

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@copper ether Has your question been resolved?

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neon iron Mar 9, 2022, 10:05 AM

#

Can anyone check my answer to this question pls?

topaz sinewBOT Mar 9, 2022, 10:05 AM

#

neon iron Can anyone check my answer to this question pls?

leaden tusk Mar 9, 2022, 10:06 AM

#

,w integral of (9x-2)/(3sqrt(x))

thorny flameBOT Mar 9, 2022, 10:06 AM

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leaden tusk Mar 9, 2022, 10:06 AM

#

yeah

neon iron Mar 9, 2022, 10:06 AM

#

ohhh

leaden tusk Mar 9, 2022, 10:06 AM

#

looks good

neon iron Mar 9, 2022, 10:07 AM

#

okay!

#

so its fine in the format I've written it?

leaden tusk Mar 9, 2022, 10:07 AM

#

,w expand 2/3sqrt(x)(3x-2)

thorny flameBOT Mar 9, 2022, 10:07 AM

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leaden tusk Mar 9, 2022, 10:07 AM

#

they're equivalent, yes

neon iron Mar 9, 2022, 10:07 AM

#

okay, thanks!

#

.close

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topaz sinewBOT Mar 9, 2022, 12:33 PM

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compact nest Mar 9, 2022, 12:35 PM

#

would LM be LM=LE

topaz sinewBOT Mar 9, 2022, 12:35 PM

#

compact nest would LM be LM=LE

static void Mar 9, 2022, 12:36 PM

#

,w centroid triangle

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@compact nest what's the definition for centroid of a triangle

compact nest Mar 9, 2022, 12:37 PM

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Where all medians meet

abstract wadi Mar 9, 2022, 12:38 PM

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compact nest would LM be LM=LE

LM won't be equal to LE, how is that even possible?

compact nest Mar 9, 2022, 12:38 PM

#

the whole line

abstract wadi Mar 9, 2022, 12:39 PM

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LM is a part of LE.

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How can a part be equal to whole?

compact nest Mar 9, 2022, 12:40 PM

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it can’t

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so JM then

abstract wadi Mar 9, 2022, 12:41 PM

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Xd are you making random guesses?

compact nest Mar 9, 2022, 12:41 PM

#

no… it’s literally across LM

abstract wadi Mar 9, 2022, 12:41 PM

#

compact nest so JM then

What about it?

compact nest Mar 9, 2022, 12:42 PM

#

it’s across LM

abstract wadi Mar 9, 2022, 12:42 PM

#

Are you saying LM=JM perhaps?

compact nest Mar 9, 2022, 12:42 PM

#

yes

abstract wadi Mar 9, 2022, 12:42 PM

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Based on what?

compact nest Mar 9, 2022, 12:43 PM

#

abstract wadi Mar 9, 2022, 12:43 PM

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I know what you mean, but why would you say something like that?

#

Is the triangle equilateral?

#

They can be equal, not necessarily always.

#

Let's stop that, and start solving your question without classifying tem equal.

#

They might be equal, we'll see if that's the case.

compact nest Mar 9, 2022, 12:46 PM

#

well LM=ME wouldn’t work as you said a part doesn’t = one whole the only thing that makes sense would be LM=JM bc i don’t see how anything else would work

abstract wadi Mar 9, 2022, 12:47 PM

#

So, do you know centroid divides the median in some ratio? What's it?

compact nest Mar 9, 2022, 12:47 PM

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3

abstract wadi Mar 9, 2022, 12:47 PM

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Wdym?

compact nest Mar 9, 2022, 12:47 PM

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3 triangles have to intersect to make a centroid or am i wrong

abstract wadi Mar 9, 2022, 12:48 PM

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Wrong yes you are.

abstract wadi Mar 9, 2022, 12:48 PM

#

compact nest Where all medians meet

This is what you said earlier.

compact nest Mar 9, 2022, 12:48 PM

#

yea

abstract wadi Mar 9, 2022, 12:48 PM

#

And now you have a different definition, how does that work?

compact nest Mar 9, 2022, 12:48 PM

#

doesn’t it take 3 triangles and where they all meet is what a centroid is

abstract wadi Mar 9, 2022, 12:49 PM

#

In your original figure, how many triangles do you have?

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Well?

compact nest Mar 9, 2022, 12:50 PM

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6

abstract wadi Mar 9, 2022, 12:51 PM

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compact nest doesn’t it take 3 triangles and where they all meet is what a centroid is

That is true, but you only have one triangle, it's a different story that the medians divide the triangle into multiple new triangles.

#

Okay, now I got what you're trying to say.

#

Okay, sure three triangles but that doesn't help the question.
What I'm asking is, the centroid is where the medians meet.

#

So what is the ratio the median is divided by the centroid.

#

EM:ML basically.

#

Have you studied something like this?

abstract wadi Mar 9, 2022, 12:54 PM

#

compact nest 6

Wrong there are more. But that doesn't matter that's not your question.

topaz sinewBOT Mar 9, 2022, 1:05 PM

#

@compact nest Has your question been resolved?

topaz sinewBOT Mar 9, 2022, 1:20 PM

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tired briar Mar 9, 2022, 1:26 PM

#

Looking for some guidance

topaz sinewBOT Mar 9, 2022, 1:26 PM

#

tired briar Looking for some guidance

tired briar Mar 9, 2022, 1:27 PM

#

I believe I should first come up with the indefinite integral?

wooden matrix Mar 9, 2022, 1:27 PM

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Yes

#

You should set up the integral first

tired briar Mar 9, 2022, 1:29 PM

#

@wooden matrix

wooden matrix Mar 9, 2022, 1:29 PM

#

Yes.

tired briar Mar 9, 2022, 1:30 PM

#

Wait.

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Thats a definite integral

#

@wooden matrix not sure what to do with the bounds in order to set up an indefinite integral.

wooden matrix Mar 9, 2022, 1:31 PM

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It's area under a curve

#

Which is a definite integral

#

Hence why I said yes and not no

tired briar Mar 9, 2022, 1:31 PM

#

Thats what I think but the question is asking for an indefinite integral

#

@wooden matrix

wooden matrix Mar 9, 2022, 1:33 PM

#

tired briar Thats what I think but the question is asking for an indefinite integral

It isnt

#

Read what I just said

tired briar Mar 9, 2022, 1:34 PM

#

@wooden matrix Its asking first for the indefinite integral, then it is asking to differentiate the indefinite, then lastly it says to apply the limits to the integration. It would seem that I am not using a definite integral until the last step.

wooden matrix Mar 9, 2022, 1:37 PM

#

The question you posted wants a definite integral

#

And stop pinging every message

tired briar Mar 9, 2022, 1:38 PM

#

<@&286206848099549185> Looking for some guidance with a calculus question. Thanks.

topaz sinewBOT Mar 9, 2022, 1:57 PM

#

@tired briar Has your question been resolved?

topaz sinewBOT Mar 9, 2022, 2:28 PM

#

@tired briar Has your question been resolved?

tired briar Mar 9, 2022, 2:50 PM

#

<@&286206848099549185> Anyone available?

tired briar Mar 9, 2022, 3:08 PM

#

.close

topaz sinewBOT Mar 9, 2022, 3:08 PM

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round latch Mar 9, 2022, 3:24 PM

#

Hey can someone help me with Quadratics (math)
Really need it 💀

topaz sinewBOT Mar 9, 2022, 3:24 PM

#

round latch Hey can someone help me with Quadratics (math) Really need it 💀

#

@round latch Has your question been resolved?

rich fossil Mar 9, 2022, 3:42 PM

#

round latch Hey can someone help me with Quadratics (math) Really need it 💀

Post the question (math)
It'll heavily benefit us 💀

#

https://dontasktoask.com/

Don't ask to ask, just ask

topaz sinewBOT Mar 9, 2022, 3:54 PM

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wicked steppe Mar 9, 2022, 4:36 PM

#

I have this question. I can't figure out how they got from one step to the next. I tried looking in books and online, but still don't know

topaz sinewBOT Mar 9, 2022, 4:36 PM

#

wicked steppe I have this question. I can't figure out how they got from one step to the next....

abstract wadi Mar 9, 2022, 4:42 PM

#

Do you know laws of exponents?

wicked steppe Mar 9, 2022, 4:43 PM

#

I think yes, learning it in school

abstract wadi Mar 9, 2022, 4:43 PM

#

So you don't necessarily need to follow this exact same procedure, your steps might be slightly different.

wicked steppe Mar 9, 2022, 4:46 PM

#

but even so, I have no idea how they get from fractions to integers

abstract wadi Mar 9, 2022, 4:47 PM

#

The answer you're getting is not an integer.

#

Although, I understand I'll explain a little.

#

First you have a fifth root of some ugly fraction.

#

And it's raised to -3 exponent.

#

Okay so let's forget the exponent and fifth root for now, and solve what's inside the parenthesis.

#

Alright?

wicked steppe Mar 9, 2022, 4:48 PM

#

okay

abstract wadi Mar 9, 2022, 4:51 PM

#

$\frac{\sqrt{2}\cdot\frac{1}{\sqrt{2}}}{\frac{1}{\sqrt[6]{2^5}}$

#

Rip

#

My god.

#

On mobile I can't do this shit.

#

I'll be back.

tulip light Mar 9, 2022, 4:53 PM

#

$\frac{\sqrt{2}\cdot\frac{1}{\sqrt{2}}}{\frac{1}{\sqrt[6]{2^5}}}$

thorny flameBOT Mar 9, 2022, 4:53 PM

#

Doggo

tulip light Mar 9, 2022, 4:53 PM

#

meant this or?

abstract wadi Mar 9, 2022, 4:54 PM

#

I just did not have one bracket, on mobile it's hard to realise thanks.

#

So @wicked steppe

abstract wadi Mar 9, 2022, 4:55 PM

#

thorny flame **Doggo**

When you divide the $\sqrt[6]{2^5}$ gets to the numerator do you know that?

thorny flameBOT Mar 9, 2022, 4:55 PM

#

Sakata Yaksha

wicked steppe Mar 9, 2022, 4:56 PM

#

yeah

abstract wadi Mar 9, 2022, 4:56 PM

#

So that is exactly what the first step is.

#

Do you see that?

#

Well?

wicked steppe Mar 9, 2022, 4:59 PM

#

well, how exactly it goes to that

abstract wadi Mar 9, 2022, 5:01 PM

#

$\frac{a}{b}$ divided by $\frac{c}{d}$

#

How would you do this?

thorny flameBOT Mar 9, 2022, 5:01 PM

#

Sakata Yaksha

wicked steppe Mar 9, 2022, 5:02 PM

#

a/b * d/c = ad/bc

#

?

abstract wadi Mar 9, 2022, 5:02 PM

#

Uhm so it's ad/bc

wicked steppe Mar 9, 2022, 5:03 PM

#

yeah sorry, autocorrect

abstract wadi Mar 9, 2022, 5:03 PM

#

Yeah, I got that.

#

$\frac{\sqrt{2}\cdot\frac{1}{\sqrt[3]{2}}}{\frac{1}{\sqrt[6]{2^5}}}$

thorny flameBOT Mar 9, 2022, 5:04 PM

#

Sakata Yaksha

abstract wadi Mar 9, 2022, 5:05 PM

#

Here a is sqrt 2, b is cube root 2 c is the 1 below and d is the last term.

wicked steppe Mar 9, 2022, 5:06 PM

#

okay

abstract wadi Mar 9, 2022, 5:07 PM

#

So it becomes ad/bc

wicked steppe Mar 9, 2022, 5:09 PM

#

okay, makes sense

abstract wadi Mar 9, 2022, 5:09 PM

#

It should, now look at what they did in the first step.

wicked steppe Mar 9, 2022, 5:14 PM

#

and to get rid of the negative square, you flip the fraction

#

ok, I think I get it now

abstract wadi Mar 9, 2022, 5:17 PM

#

I really hope you did, since my explanation didnt really help.

wicked steppe Mar 9, 2022, 5:17 PM

#

it did, thank you for your help

#

.close

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broken wren Mar 9, 2022, 5:46 PM

#

with what values of x and y are the matrixes identical? probably have to show how i came to it

topaz sinewBOT Mar 9, 2022, 5:46 PM

#

broken wren with what values of x and y are the matrixes identical? probably have to show ho...

gentle owl Mar 9, 2022, 5:51 PM

#

well if you compare A and B you can say x = 2 - y and 2x = y + 1 and then solve the system of equations

broken wren Mar 9, 2022, 5:52 PM

#

oh okay. imma try

#

thanks it worked

#

.close

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misty heron Mar 9, 2022, 5:58 PM

#

topaz sinewBOT Mar 9, 2022, 5:58 PM

#

misty heron

misty heron Mar 9, 2022, 6:08 PM

#

<@&286206848099549185>

wooden matrix Mar 9, 2022, 6:09 PM

#

the radius would never be 0

topaz sinewBOT Mar 9, 2022, 6:23 PM

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toxic marsh Mar 9, 2022, 9:35 PM

#

topaz sinewBOT Mar 9, 2022, 9:35 PM

#

toxic marsh

toxic marsh Mar 9, 2022, 9:36 PM

#

Tangent is 1/(1+x^2)

#

And I know what cosine is but idk what sine or arc sine is

topaz sinewBOT Mar 9, 2022, 9:51 PM

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toxic marsh Mar 9, 2022, 9:59 PM

#

topaz sinewBOT Mar 9, 2022, 9:59 PM

#

toxic marsh

toxic marsh Mar 9, 2022, 9:59 PM

#

How is this wrong exactly?

grim jacinth Mar 9, 2022, 9:59 PM

#

Do you have work?

toxic marsh Mar 9, 2022, 9:59 PM

#

They thought me 2 things that lecture

#

Derivative of arcsine is 1/sqrt(1-x^2)

grim jacinth Mar 9, 2022, 10:00 PM

#

You don't need derivatives

toxic marsh Mar 9, 2022, 10:01 PM

#

And derivative of tan is 1/(1+x^2)

#

I have never in my life been tought the algebraic equivalent to any trig function

#

So outside of knowing those two things from the lecture

#

I'm lost

topaz sinewBOT Mar 9, 2022, 10:17 PM

#

@toxic marsh Has your question been resolved?

toxic marsh Mar 9, 2022, 10:20 PM

#

<@&286206848099549185>

pulsar heron Mar 9, 2022, 10:23 PM

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Okay so what we do is draw a triangle

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We imagine that we have a triangle in quadrant 1 with theta as the angle

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Since we have arcsin(x) we draw the triangle using opposite over hypotenuse with opposite being x and hypotenuse being 1

toxic marsh Mar 9, 2022, 10:37 PM

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Ok

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Do I need to find adjacent?

pulsar heron Mar 9, 2022, 10:39 PM

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Yep

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Then u find the tangent of that angle theta

toxic marsh Mar 9, 2022, 10:42 PM

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Sqrt(1-x^2)

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Is the adjacent

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X/(sqrt(1-x^2))

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Got it

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Ty so much

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.close

topaz sinewBOT Mar 9, 2022, 10:46 PM

#

Channel closed

Closed by @toxic marsh

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tidal cypress Mar 9, 2022, 11:12 PM

#

Most likely overthinking this problem, but to solve this would you use Pythagorean theorem?

topaz sinewBOT Mar 9, 2022, 11:12 PM

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tidal cypress Most likely overthinking this problem, but to solve this would you use Pythagore...

leaden tusk Mar 9, 2022, 11:13 PM

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yes

neon iron Mar 9, 2022, 11:13 PM

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tidal cypress Most likely overthinking this problem, but to solve this would you use Pythagore...

yes

tidal cypress Mar 9, 2022, 11:13 PM

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neon iron yes

That would make it 18.78, but the question does not ask to round what should I put?

leaden tusk Mar 9, 2022, 11:14 PM

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i think you messed up somewhere

tidal cypress Mar 9, 2022, 11:14 PM

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Ok

neon iron Mar 9, 2022, 11:14 PM

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wtf

leaden tusk Mar 9, 2022, 11:14 PM

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the hypotenuse is always the longest side, so your calculation shouldn't be greater than 17

neon iron Mar 9, 2022, 11:15 PM

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yes

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UT^2 = 17^2 - 8^2 = 289 - 64 = 225
UT = root(225) = 15

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the answer is 15 brother

keen tundra Mar 9, 2022, 11:16 PM

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a^2=b^2+c^2
17^2=8^2+UT^2
UT=sqrt(289-64)=15

neon iron Mar 9, 2022, 11:16 PM

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not 18.78

tidal cypress Mar 9, 2022, 11:16 PM

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Hm but to be a right triangle 8^2+17^2 has to equal UT or am I tripping

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Oh yeah

neon iron Mar 9, 2022, 11:16 PM

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wait

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you are thinking wrong

leaden tusk Mar 9, 2022, 11:16 PM

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neon iron the answer is 15 brother

don't do people's work for them. #❓how-to-get-help #rules

leaden tusk Mar 9, 2022, 11:16 PM

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keen tundra a^2=b^2+c^2 17^2=8^2+UT^2 UT=sqrt(289-64)=15

same to you

keen tundra Mar 9, 2022, 11:16 PM

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youre mixing up a hypotenuse and a leg

neon iron Mar 9, 2022, 11:16 PM

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See the 90* angle.

keen tundra Mar 9, 2022, 11:16 PM

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leaden tusk same to you

my bad i literally just joined.

tidal cypress Mar 9, 2022, 11:16 PM

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neon iron See the 90* angle.

Yes

keen tundra Mar 9, 2022, 11:16 PM

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i wont do it again

neon iron Mar 9, 2022, 11:16 PM

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leaden tusk don't do people's work for them. <#488120190538743810> <#486128019652476939>

okay

leaden tusk Mar 9, 2022, 11:16 PM

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keen tundra my bad i literally just joined.

first thing you should do upon joining = read the rules

neon iron Mar 9, 2022, 11:16 PM

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tidal cypress Yes

good 👍

tidal cypress Mar 9, 2022, 11:17 PM

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I actually am just trying to understand the concept not the answer

keen tundra Mar 9, 2022, 11:17 PM

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leaden tusk first thing you should do upon joining = read the rules

yea i skimmed over them lol

neon iron Mar 9, 2022, 11:17 PM

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tidal cypress I actually am just trying to understand the concept not the answer

yes, me too trying to get you too the concept, not the answer. but nevermind

leaden tusk Mar 9, 2022, 11:17 PM

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tidal cypress I actually am just trying to understand the concept not the answer

pythagorean theorem states that the sum of the squares of the two legs must equal the square of the hypotenuse for any right triangle

neon iron Mar 9, 2022, 11:17 PM

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let's back to problem

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@tidal cypress you got it?

tidal cypress Mar 9, 2022, 11:17 PM

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Yes

neon iron Mar 9, 2022, 11:17 PM

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okay good

leaden tusk Mar 9, 2022, 11:17 PM

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you seem to be thinking the side length 17 is a leg, but that's the hypotenuse

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the hypotenuse is always located opposite the right angle

tidal cypress Mar 9, 2022, 11:17 PM

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leaden tusk pythagorean theorem states that the sum of the squares of the two legs must equ...

Ohhh I see so that makes 17 the hyp

leaden tusk Mar 9, 2022, 11:18 PM

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yes

tidal cypress Mar 9, 2022, 11:18 PM

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Makes so much more sense, thanks all

neon iron Mar 9, 2022, 11:18 PM

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tidal cypress Ohhh I see so that makes 17 the hyp

yes

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goodluck

tidal cypress Mar 9, 2022, 11:18 PM

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ty!

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.close

topaz sinewBOT Mar 9, 2022, 11:18 PM

#

Channel closed

Closed by @tidal cypress

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gray basin Mar 9, 2022, 11:26 PM

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I don’t really understand this question

topaz sinewBOT Mar 9, 2022, 11:26 PM

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gray basin I don’t really understand this question

gray basin Mar 9, 2022, 11:35 PM

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I did something like this but I’m not sure if I’m correct..

topaz sinewBOT Mar 9, 2022, 11:50 PM

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@gray basin Has your question been resolved?

gray basin Mar 9, 2022, 11:57 PM

#

<@&286206848099549185>

sweet shard Mar 9, 2022, 11:58 PM

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gray basin I did something like this but I’m not sure if I’m correct..

looks good. probably should simplify $\sqrt{4}$

thorny flameBOT Mar 9, 2022, 11:58 PM

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riemann

gray basin Mar 9, 2022, 11:59 PM

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You mean (root of 4)^2

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?

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Because that’s root 4 whole squared

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You there?

sweet shard Mar 10, 2022, 12:03 AM

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gray basin I did something like this but I’m not sure if I’m correct..

the side length isn't squared though

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the side length is just $\sqrt{4}$

thorny flameBOT Mar 10, 2022, 12:03 AM

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riemann

sweet shard Mar 10, 2022, 12:04 AM

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just like how the hypotenuse's length isn't 5. it's $\sqrt{5}$

thorny flameBOT Mar 10, 2022, 12:04 AM

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riemann

gray basin Mar 10, 2022, 12:04 AM

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It is Root 5 though

sweet shard Mar 10, 2022, 12:04 AM

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ok we're in agreement then

sweet shard Mar 10, 2022, 12:05 AM

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thorny flame **riemann**

as long as you understand this

gray basin Mar 10, 2022, 12:05 AM

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So how do I fix it?

sweet shard Mar 10, 2022, 12:05 AM

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gray basin I did something like this but I’m not sure if I’m correct..

remove the squares on square root of 1 and square root of 4

gray basin Mar 10, 2022, 12:06 AM

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But that would make it 16 and 1 which is not equal to root 5

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Oh sorry I get what you mean

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Bruh…

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Thanks for help

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.close

topaz sinewBOT Mar 10, 2022, 12:07 AM

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normal mist Mar 10, 2022, 12:12 AM

#

topaz sinewBOT Mar 10, 2022, 12:12 AM

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normal mist

normal mist Mar 10, 2022, 12:12 AM

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Do I have these answers right so far?

keen tundra Mar 10, 2022, 12:15 AM

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i think you need to reevaluate the first and second problem

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notice the dashed line in the composite figure, meaning that shape does not count towards the area of the composite figure

topaz sinewBOT Mar 10, 2022, 12:27 AM

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@normal mist Has your question been resolved?

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topaz egret Mar 10, 2022, 1:00 AM

#

topaz sinewBOT Mar 10, 2022, 1:00 AM

#

topaz egret

topaz egret Mar 10, 2022, 1:01 AM

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phi here is a representation and i'm trying to show that phi_k is isomorphic to phi_k+8. How would I go about doing this?

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i'm not sure how to show that there exist invertible f in Hom_G(phi_k,phi_k+8)

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<@&286206848099549185>

topaz sinewBOT Mar 10, 2022, 1:30 AM

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@topaz egret Has your question been resolved?

keen venture Mar 10, 2022, 1:33 AM

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What is phi_k+8? What do the matricies look like?

topaz sinewBOT Mar 10, 2022, 1:45 AM

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Channel closed

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topaz sinewBOT Mar 10, 2022, 3:44 AM

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pulsar wyvern Mar 10, 2022, 3:52 AM

#

I keep getting an answer of 35.78%, which rounds to 36%. The answer key says it's C) 38%. Can anyone confirm this answer? I redid the question multiple times and got the same answer.

topaz sinewBOT Mar 10, 2022, 3:52 AM

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pulsar wyvern I keep getting an answer of 35.78%, which rounds to 36%. The answer key says it'...

loud dawn Mar 10, 2022, 4:04 AM

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Weird I got 34%

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Tedious question

topaz sinewBOT Mar 10, 2022, 4:09 AM

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@pulsar wyvern Has your question been resolved?

hazy pumice Mar 10, 2022, 4:10 AM

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not worth the 7 points

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I say that with a Bachelors degree

pulsar wyvern Mar 10, 2022, 4:10 AM

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7 points is the most for these questions. :P

loud dawn Mar 10, 2022, 4:18 AM

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Lmao just a tedious, annoying question

hazy pumice Mar 10, 2022, 4:19 AM

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maybe it's not that bad...

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total area of the rectangle is

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26 times 12-root-3-plus-1

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where tf is my calculator

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566.399852

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the hexagons are just triangles

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most the same size

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the bottom is

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1/2 times 6 times 3-root-3

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...times 3

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that's 27-root-3

topaz sinewBOT Mar 10, 2022, 4:24 AM

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Channel closed

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hazy pumice Mar 10, 2022, 4:25 AM

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plus 10 more of those

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so adding 90-root-3

topaz sinewBOT Mar 10, 2022, 4:25 AM

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hazy pumice Mar 10, 2022, 4:25 AM

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altogether the hexagons are 117-root-3

topaz sinewBOT Mar 10, 2022, 4:25 AM

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hazy pumice altogether the hexagons are 117-root-3

hazy pumice Mar 10, 2022, 4:26 AM

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202.6499445

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...and I got about 36%. 0.3577860124

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answer key is a lie I guess. No way I messed that up, rite?

loud dawn Mar 10, 2022, 4:32 AM

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Idk bruh, I got 34 and I thought I was cracked

topaz sinewBOT Mar 10, 2022, 4:42 AM

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@hazy pumice Has your question been resolved?

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topaz sinewBOT Mar 10, 2022, 8:23 AM

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kind fractal Mar 10, 2022, 9:11 AM

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what is the difference between SSres/SStot and 1-SSres/SStot in regards to calculating r^2. (SSres= residual sum of squares formula and SStot=total sum of squares formula)

topaz sinewBOT Mar 10, 2022, 9:11 AM

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kind fractal what is the difference between SSres/SStot and 1-SSres/SStot in regards to calcu...

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@kind fractal Has your question been resolved?

kind fractal Mar 10, 2022, 9:27 AM

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<@&286206848099549185>

topaz sinewBOT Mar 10, 2022, 9:57 AM

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@kind fractal Has your question been resolved?

cursive flax Mar 10, 2022, 10:24 AM

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Did you try latex or its just some mathematical gibberish I don't know abt? thinkies

kind fractal Mar 10, 2022, 10:43 AM

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i dont know what that is

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.close

topaz sinewBOT Mar 10, 2022, 10:51 AM

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hearty wraith Mar 10, 2022, 11:12 AM

#

topaz sinewBOT Mar 10, 2022, 11:12 AM

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hearty wraith

hearty wraith Mar 10, 2022, 11:12 AM

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why is the range and domain [0,1]

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i dont understand how they got this

topaz sinewBOT Mar 10, 2022, 11:27 AM

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@hearty wraith Has your question been resolved?

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spiral saffron Mar 10, 2022, 12:30 PM

#

if the intersection of any finite number of open sets sets is open, how does it follow from that that the union of any finite number of closed sets is a closed set?

topaz sinewBOT Mar 10, 2022, 12:30 PM

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spiral saffron if the intersection of any finite number of open sets sets is open, how does it ...

topaz sinewBOT Mar 10, 2022, 12:54 PM

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@spiral saffron Has your question been resolved?