help-39

[thick ridge]

oh ok

[mighty marten]

Hopefully that helped 👍

[thick ridge]

yes thank u

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[quartz ermine]

part b pls

[quartz ermine]

i found the inverse of N and then did N^-1 x N which gives an identity iirc

[rotund moth]

You don't need the inverse here.

[quartz ermine]

oh how do i find k

[rotund moth]

Do you know the formula for the determinant of a 2x2 matrix?

[quartz ermine]

ad - bc?

[rotund moth]

Yes

[quartz ermine]

OH n

WIAT

so -3 - 4k = 7

AHHH

[rotund moth]

Yup

[quartz ermine]

wow

thank you

[rotund moth]

np

[quartz ermine]

for your help ❤️

i will close now, bye

[rotund moth]

bye

[quartz ermine]

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[midnight haven]

Is this correct

[cursive wraith]

I think this is good

[pearl pond]

@midnight haven Has your question been resolved?

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[lavish hare]

How do you get from the left side to the right

[vital estuary]

2r/2=r

[light helm]

r = 2r/2

[vital estuary]

Lmao

[light helm]

(and the definition of squaring)

[lavish hare]

o sheeeet

you right

thx

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[flint field]

Hellox

[jolly parrot]

Basudev

[flint field]

How do you integrate this??

[wind wigeon]

pain and suffering

thats how

[flint field]

[wind wigeon]

use this

the first part

not the squared thing

[flint field]

Ok

And then integrate??

[wind wigeon]

well youll get 2 cosine terms added together

so you can split it into 2 integrals

[flint field]

Ok

[wind wigeon]

should make it a lot easier

[flint field]

Thx

[wind fox]

You could always integrate by parts lol

[wind wigeon]

dont think that gets you anywhere tbh

[flint field]

$\frac{1}{2} [ \sin(nx+mx) + \sin(nx-mx) ]$

I got smth like this

[jolly parrot]

Basudev

[flint field]

And ye + c

As well

[wind wigeon]

as the integral?

[flint field]

Ye

[wind wigeon]

youre quick

[flint field]

I took out the constant

And then

[wind wigeon]

idk man check out integral-calculator.com

[flint field]

Ok

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[coral drift]

ignore the A's

i found r'(t) too

how do i do this?

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[cerulean thunder]

Whats the difference between derivative and distance/change in time?

[autumn linden]

They're pretty similar but

The smaller the change in time, the more accurate the slope is, right?

And the smallest number we can use is 0, but we can't divide anything by zero

The derivative is like the hypothetical of that

[night urchin]

easy way to explain is derivative for a function at a point is the slope of the tangent line at that point

[pearl pond]

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[lavish hare]

https://media.discordapp.net/attachments/1025113502182031361/1025846816572444702/unknown.png

[lavish hare]

So far i’ve used partial fractions to expand into 1/Nn - 1/(N(n+N))

but i’m not sure how to simplify the partial sum past that

I get $S_{N} = \frac{1}{N} - \frac{1}{2N} + \frac{1}{2N} - \frac{1}{N(2+N)} + \frac{1}{3N}…$

[jolly parrot]

Larry the Cucumber

[lavish hare]

I think I messed up the partial sum

$S_{N} = (\frac{1}{N} - \frac{1}{N(1+N)}) + (\frac{1}{2N} - \frac{1}{N(2+N)}) + …$

[jolly parrot]

Larry the Cucumber

[lavish hare]

But i’m still not sure how to evaluate it

<@&286206848099549185>

[pearl pond]

@lavish hare Has your question been resolved?

[lavish hare]

:__(

:___(

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[drifting roost]

looking for a solution to a) here. posting my own work for entertainment below

i know i made some arithmetic mistakes in these, but i checked the solution in wolfram and it wasn't even in the same form as these

so i'm pretty sure i'm using the wrong approach. can someone confirm if this problem is really as hard as i think it is and offer a better way to find a solution?

wolfram solution btw

[pearl pond]

@drifting roost Has your question been resolved?

[drifting roost]

<@&286206848099549185> hi

[pearl pond]

@drifting roost Has your question been resolved?

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[vivid pilot]

A game of Plinko is played by dropping a ball at the top-middle of a set of pegs. Each time the ball hits a peg, it has a $\frac{1}{2}$ probability of deflecting either to the left or to the right. What is the probability that the ball lands in the middle slot as shown in the diagram (the red line)?

[jolly parrot]

banan|crab

[vivid pilot]

how to do this

[snow cave]

You could use pascal's triangle

[vivid pilot]

do i have to fill ouut the whole thing?

[snow cave]

no, you can just use the nCr rule for each term, the red platform is the sum of the two pascals's triangle coefficients above (/2 bc they have a 1/2 chance of going to the platform) it divided by 128 I believe (because the sum of terms in a row is a power of two)

heres an example

if the red platform were there the chance of it landing on it would be (3/2 + 3/2)/2^3

[vivid pilot]

i dont have a paper rn so ill have to do it later 😦

for the full triangle

[snow cave]

you just need nCr to find the term, you don't need to write the full triangle out

[pearl pond]

@vivid pilot Has your question been resolved?

[vivid pilot]

what is n and what is r

[snow cave]

its a function, the combination function

[vivid pilot]

i know that

i mean how do i find the values of n and r

for this problem

[snow cave]

n is the row which is row 7 for the problem and c is the column which is column 3

[vivid pilot]

so the answer is 7C3? 35?

[snow cave]

its asking for probability

[vivid pilot]

so 35 is the success number. what the total number of paths? 2^7?

[snow cave]

yes

[vivid pilot]

thanks

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[foggy dawn]

I needed help with this question

im not sure about the rulings

i know that tan = sin/cos

so i got the first two easy

and my teacher says no calculator

[shrewd basin]

Draw a triangle

[foggy dawn]

okay

then?

[shrewd basin]

Then read off the values

Use Pythagorean theorem to figure out all the lengths

(Keeping in mind if it’s negative or positive)

[cinder reef]

,rotate

[ember jewel]

@foggy dawn by exact value, do you also have to evaluate the sq roots?

[foggy dawn]

okay ill try that

[foggy dawn]

no he said not to rationalize

u don't have to

[ember jewel]

okk

[cinder reef]

you forgot to write theta

HAHAH

[foggy dawn]

🤣

im sorry

but i still don;t understand

😭

[shrewd basin]

So for three cos is -1/8

[foggy dawn]

yes

[shrewd basin]

Give me a sec I’ll draw a triangle

[foggy dawn]

alright

[shrewd basin]

So in the second quadrant

What can we say about the signs?

[foggy dawn]

we can say

cos is negative

sin is positive

tan is negative

[shrewd basin]

Yes

This would be my triangle

Sorry if it’s a bit messy I’m in a bath lol

[foggy dawn]

oh

[cinder reef]

HAHA

[foggy dawn]

😭

[cinder reef]

WHAT

[foggy dawn]

alright so

[shrewd basin]

[foggy dawn]

thats all we need right?

[cinder reef]

pure deserves a promotion

[cinder reef]

yes

for that part

so you can find sin tan etc

using opp/hypotenuse, opposite/adjacent and stuff

[pearl pond]

@foggy dawn Has your question been resolved?

[pearl pond]

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[brazen vector]

hi

[brazen vector]

what is the indefinite integral of 1/u

cant use u^(n+1)/n+1 bc this will be 1 in this case

and the derivative of 1 is 0

[distant edge]

Is this all the problem? Just making sure

[midnight haven]

$$\int \frac{1}{u}du$$

[jolly parrot]

raw

[midnight haven]

Like this?

[brazen vector]

also another question arises in my head which is why dont we say that the derivative of a constant c is as follows : c=cx^0 so d/dx(cx^0)=cx^-1=c/x

[onyx lynx]

ln|u| + C

[midnight haven]

^

It’s a standard integral that you should memorize

It’ll come up a lot

[brazen vector]

you are totally right i am so stupid

[midnight haven]

Especially in fraction decomposition

[brazen vector]

i know this but i dont know why didnt it come to my mind

[onyx lynx]

multiply by 0

[brazen vector]

wdym by multiply by 0

why should i do this

[onyx lynx]

(d/dx)[x^n] = nx^(n-1)

[brazen vector]

yea i also forgot about this part

nvm i said many stupid things right now

[wintry veldt]

could you help me with my problem: Find the area under the curve if f(x)=ln(x^2) and g(x)=x+2 then determine critical points, maximum and minimum

[brazen vector]

i know all of these stuff but suddenly i am asking about them XD

[brazen vector]

under which curve to begin with

under f(x) and then under g(x)?

area under the curve of each function seperately ?

[wintry veldt]

it is given us f(x), and g(x) then they want us to draw a graph correlated with those functions. From there they want us to determine the critical points

I'm having hard time drawing the graph and how it suppose to look like.

[brazen vector]

do you know integration ??

[wintry veldt]

somewhat yeah

like integration by parts?

[brazen vector]

ok do you know definite or indefinite ?

[wintry veldt]

yeah

[brazen vector]

i dont know this much D

ok here you want the area under the curve of this function so you have to find a definite integral here

look do you need the area under the intersection of the curves of g(x) and f(x)?

[wintry veldt]

I just don't know how to graph those functions without a calculator. could you help me draw, and then I can try to determine the critical points?

[brazen vector]

to draw the graph you should determine critical points,maximums and minimums

so you should determine these before you draw a graph

[brazen vector]

??

sorry but i have to go now

ill have to close the channel to follow the rules so please occupy an empty channel

goodnight and good luck

.close

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[primal bluff]

Can someone explain to me how we come about the Moment equilibrium equation? I have learned that it is Force* Perpendicular Length. In the above example however, theres not only one length, or one Force. Why is that?

[pearl pond]

Please don't occupy multiple help channels.

[primal bluff]

.close

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[pearl pond]

Please don't occupy multiple help channels.

[vocal apex]

is it A. and 30? because its always decreasing

[pearl pond]

@vocal apex Has your question been resolved?

[pearl pond]

@vocal apex Has your question been resolved?

[pearl pond]

@vocal apex Has your question been resolved?

[pearl pond]

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[granite hawk]

3x^2-18-48 factoring

[old geyser]

Factor out 3

[granite hawk]

alegebra 2

[old geyser]

Well first factor out 3

Then further factor the quadratic factor

[granite hawk]

i just need to know if i got the answer right

[old geyser]

Show me your answer

[granite hawk]

i got (x-8)(3x+6)

[old geyser]

3(x^2-6x-16)
3(x-8)(x+2)
(3x-24)(x+2) or (x-8)(3x+6)

You're correct

[granite hawk]

appreciate it

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[coarse eagle]

hello

[coarse eagle]

what would (x^3 divided x ^1/2 ) be? x^5/2?

[fleet sky]

1. is your username a reference to Linkara?

2. Yes you are correct. 3 = 6/2 and 6/2 - 1/2 = 5/2

for the exponents

[coarse eagle]

who's linkara?

[fleet sky]

lol nvm

he calls himself the Lightbringer

[coarse eagle]

no my username is reference to Lucifer the bringer of light

thank you for answering my question

[fleet sky]

yep np

[pearl pond]

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[pearl pond]

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[wispy plaza]

how would i do the limit for x approaching -2

[wispy plaza]

so far i have this

but for some reason i am confused on how to do the -2 limit

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[wispy plaza]

how would i determine these infinite limits?

[honest bough]

What have you tried

[wispy plaza]

im not too sure on how to approach it for the first one i factored it to x/(x+1) and if i plug in -3 i get -3/-2 which = 3/2

[honest bough]

How did you factor it to that

[wispy plaza]

oh wait

its not factorable

i was looking at the wrong equation sorry

but if i plug in -3 to the right equation (29) i get -1 /0 and that is undefined as you cant divide by 0

[honest bough]

So it's either positive or negative infinity

To figure out which, you just need to figure out the sign of the function to the right of 3

[wispy plaza]

to know the limit is + or - infinity the equation must be undefined?

[honest bough]

Any limit of the form k/0 where k ≠ 0 either goes to infinity or is undefined

[wispy plaza]

to do this i can plug in a number slight bigger than -3?

[honest bough]

Sure

[wispy plaza]

ok so if i try plugging in - 2.9 i get - 9

so would it be -infinity?

[honest bough]

Yes

[wispy plaza]

ohh okay and what if its asking for a regular limit instead of one side

how would you decide which number to plug in?

[honest bough]

You check from both sides

See if they're the same

[wispy plaza]

makes sense, thank you

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[idle ruin]

Why are these not equal?
\binom{100}{2}=4950
\
\binom{100}{1}\binom{99}{1}=9900

[foggy mason]

Why are these not equal?
$\binom{100}{2}=4950$

$\binom{100}{1}\binom{99}{1}=9900$

[jolly parrot]

Ｈｅｒｅｌｓ

[slate thicket]

is that what identity is?

[fleet sky]

well one says you're choose 2 items out of 100.
The other is saying choose 1 item out of 100 and choose one item out of 99 (for example, if you picked without replacement). The second one excludes the 1st item selected

[idle ruin]

the first one also excludes the 1st item

cause its not with repitition

[slate thicket]

$\binom{n}{r}=\binom{n-1}{r-1}+ \binom{n-1}{r}$

[fleet sky]

omg it's so red

omg it's so green

[idle ruin]

green :O

[slate thicket]

eh

[fleet sky]

omg that's much less offensive on the eyes lol

[fleet sky]

Not really. What it's saying is that it's choosing two items at once.

[slate thicket]

ah

[idle ruin]

but if the set is {1,...,100} i will never get two 1

[fleet sky]

okay let's use a simpler example

[idle ruin]

with nCr(100,2)

[fleet sky]

let's say we had a bin. {1, 2, 3}. How many different ways can we choose 2 items out of that (order doesn't matter)?

12, 13, 23

[idle ruin]

nCr(3,2) = 3

yeah

[fleet sky]

let's work without formulas for a second

just intutition

okay, the second option we have the following possibilities

1. choose 1. Then there are 2 ways to choose what's leftover: 2 or 3 (so 2 possibilities)
2. choose 2. Then there are 2 ways to choose what's leftover: 1 or 3 (so 2 possibilities)
3. choose 3. Then there are 2 ways to choose what's leftover: 1 or 2 (so 2 possibilities)

so we had 3 different initial choices, each with 2 possible 2nd choices

or 6 total arrangements

or in your terms

nCr(3,1) * nCr(2,1) = 3 *2 = 6

make sense?

[idle ruin]

yeah so im overcounting by including the permutations

yeah that makes much more sense

ty

[fleet sky]

n

*np

[idle ruin]

.close

[pearl pond]

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[naive depot]

Hello

[naive depot]

how would I use that function and sketch it based off of the graph given

[foggy mason]

you have f(x-4) so you know that you have a translation of 4 units on the right on the x-axis, right ?

[naive depot]

Its -f(x-4)

I was confused about the negative

I understand move right 4 but the negative f made me stuck

[foggy mason]

dont worry, we will deal with the -f later

[naive depot]

Ok

[foggy mason]

so do you agree ?

[naive depot]

Yes

[foggy mason]

nice, now we can deal with -f(x-4)

[naive depot]

Ok

[foggy mason]

you can just take the symmetry of f(x-4) by the x-axis if im not wrong

[naive depot]

so basically just move it right 4

[foggy mason]

that is for f(x-4)
now for -f(x-4), you take the opposite of f(x-4)

[naive depot]

Can you explain what it means by take the opposite

[foggy mason]

.

thats the best explanation i can give 😦

[naive depot]

Oh wait I understand

Thank you

.close

[pearl pond]

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[pearl pond]

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[rose condor]

hey! Can someone give me a few questions for systems of linear inequalities?

[rose condor]

I’m a little confused on D😭

<@&286206848099549185>

please man I have a test tomorrow

[pearl pond]

@rose condor Has your question been resolved?

[rose condor]

.close

[pearl pond]

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[mystic spade]

Help with 3ii pls

[west sapphire]

find two points on the line, then you can determine the equation of the line

you know (0,0) is on the line (why?) so you just need one more

[mystic spade]

How do we know that?

The thing is how do we show it maps every point on a straight line?

[west sapphire]

what do you get if you compute the product $M\begin{pmatrix}0 \ 0\end{pmatrix}$?

[jolly parrot]

Bungo

[west sapphire]

the matrix is singular, so the two columns are scalar multiples of each other, so the image (column space) is spanned by either one of the columns

i.e. all possible outputs are scalar multiples of column 1, and all possible outputs are also scalar multiples of column 2

[mystic spade]

But that can't work doesn't it need to be 3x1?

[west sapphire]

aren't we talking about problem 3ii?

the matrix is 2x2, there are no 3x1 vectors involved

[mystic spade]

Ye

[mystic spade]

Oh mb I was looking at 4

Wait lemme digest this

[mystic spade]

Which 2 column vectors?

[west sapphire]

the two columns of M

$\begin{pmatrix}2 \ a\end{pmatrix}$ and $\begin{pmatrix}-3 \ 6\end{pmatrix}$

[jolly parrot]

Bungo

[mystic spade]

Wait so what do we do with them?

[west sapphire]

well you want to know the set of all possible points that M maps to

in other words you want to know the image (or range) of M

which is also the column space of M

which is the set of all linear combinations of the columns of M

since the columns of M are already linear combinations of each other, either one of them spans the column space

i.e. the column space has dimension 1

and a subspace of dimension 1 is a line

[mystic spade]

Wait so how wexactly would I show it. Surely I have to derive something? This is a little confusing sry

[west sapphire]

well you could use rank nullity if you know it

show that the matrix has a nontrivial null space

and since the matrix is not the zero matrix, that means the null space has dimension 1

therefore the image (column space) also has dimension 1

qed

[mystic spade]

I have no idea what that is💀

Is there another way?

[pearl pond]

@mystic spade Has your question been resolved?

[feral sedge]

u know what singular means?

[pearl pond]

@mystic spade Has your question been resolved?

[pearl pond]

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[pearl pond]

Please don't occupy multiple help channels.

[stone stump]

Can anyone help

a formula whould help

just i understand it but cant find any thing that whould work

[vestal lodge]

Well if it’s a square base, you know two side lengths are equal

[stone stump]

yea but they are unkown

do a square them

[vestal lodge]

You’re on the right track

[stone stump]

so would it by

1215/1.5 and square the result?

[vestal lodge]

Almost. Like so close

Don’t square the result, do the opposite of squaring it

[stone stump]

^2?

[vestal lodge]

No that’s squaring

[stone stump]

ohhh

surry

[vestal lodge]

Did you mean square root here?

[stone stump]

ment this sign

yea that

ment to say square root

ok i got it

thank you so much

[vestal lodge]

Then yes

[stone stump]

thank you

.close

[pearl pond]

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[mystic spade]

Yeah

[mystic spade]

Det = 0 right?

Do you know how we'd prove it?

3ii btw

But how does that show p maps every point on a straight line?

Oh I mean part 3ii mb

Ik how to show the det part

3ii?

[mystic spade]

Here

I was talking about how to show the matrix maps every point on a straight line

[plain blade]

prove that the area of a triangle = 0

[pearl pond]

@mystic spade Has your question been resolved?

[pearl pond]

Channel closed

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• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[azure ice]

So im stuck here this is derivatives product ik its simple but im juggling so many things atm im kind of behind in math and my teachers sucks at explaining as well so i dunno how to do this properly ;-;

[azure ice]

im getting desperate

[grim patrol]

hi

i suck at explaining too

[azure ice]

hello ;-;

[grim patrol]

also my ganyu only hits for like

40 or 50k with melt

with double crit on autos

[azure ice]

mine hits for 80k on melt haha

[grim patrol]

whats p btw

[grim patrol]

T.T

[azure ice]

P means power rule ;-;

i mean

[grim patrol]

bru

no

[azure ice]

product tule

[grim patrol]

i dont get it

OHHH

[azure ice]

rule*

[grim patrol]

i get it now

hahahhaa

yea

u just use product rule

uk actually

just

use a derivative calculator

n come back if u dont get their steps

[azure ice]

yep i dunno how ;-; cause im behind

[grim patrol]

https://www.derivative-calculator.net/

[azure ice]

i dont actually haha

[grim patrol]

ok so

im assuming u alr used it n dont get it

[azure ice]

this website doesnt help ;-;

i tried

[grim patrol]

ok so um

which part do u not get

i feel the

color makes it kinda obvious

but idk

[azure ice]

ok wait leme process what i see

[grim patrol]

yes

lagging is pain

[azure ice]

oh ok i see

[grim patrol]

LOL

just

repeat

hover over each derivative

n itll show

very clearly

hahhaha

[azure ice]

man other peeps used power rule with it which threw me off ;-;

ah like that

[grim patrol]

(x+3)^2(x-4)^3

just press the

[azure ice]

ok i think i got that part

[grim patrol]

show steps thing

hover over

read slowly

ull get used to it slowlt

🥣

teach a person to fish

n theyll fish ur pond dry

yayy

[azure ice]

i got as far as this

but i dunno what to do after

leme type it in

[grim patrol]

just

go

[azure ice]

my hand writing sucks

[grim patrol]

YES

u got it

[grim patrol]

do that in the derivative calc

it even has simplification steps

[azure ice]

3(x +3)^2 (x - 4 )^2 + 2 (x-4)^3 (x+3)^1

idk what to do next ;-;

cause from what ive been told look for the common terms

[grim patrol]

$3(x +3)^2 (x - 4 )^2 + 2 (x-4)^3 (x+3)^1$

its just

[grim patrol]

simplification right

[azure ice]

but the contstants dont have i think

[grim patrol]

ook

i guess

they found it too straight forward

HAHHAHAH

OK

[azure ice]

oh shi so ignore the constant?

[grim patrol]

HAHAHA

hm?

wdym

no like so

uk how

[azure ice]

ah cause 3 and 2 are gone now

oh i think i get it

[grim patrol]

a(c) + b(c) = (a+b)c

[azure ice]

overthinking too muhc ;-;

[grim patrol]

um

oki

good

lol

🥣

soup is good

[azure ice]

i have a lot of questions actually HAHAHA but this is for that question if your gonna go help somemore peeps ill just go to another help channel haha

[grim patrol]

if u think too much

[azure ice]

tysm

[grim patrol]

npp

💕

[azure ice]

.close

[pearl pond]

Channel closed

Closed by @azure ice

Use .reopen if this was a mistake.

[azure ice]

.reopen

[pearl pond]

✅

[azure ice]

actually um

where did 5x +1 come from haha

[golden bolt]

hello

ok so

factor out (x -4)^2 (x+3)

and then you get it

[grim patrol]

this

c is

[grim patrol]

what help said

if unsure

ping

@golden bolt

[azure ice]

waa

[grim patrol]

LOL

[golden bolt]

?

[golden bolt]

why ping me :/

[grim patrol]

HAHAHA

[azure ice]

i forgot how to factor that ;-;

[grim patrol]

WELL

ITS THE NAME

[grim patrol]

use this

so uve c

figuer out a and b

[maiden reef]

hello

[grim patrol]

OMG

[golden bolt]

#❓how-to-get-help

[grim patrol]

I LOVE ANDREW TATE

[azure ice]

promoting masculinity

XD

[grim patrol]

go take my onlyfans money

[azure ice]

so c is which again

[maiden reef]

i need help find out the compound interest that i will find out if i put the money i spent on the bugatti into a 3.80

[grim patrol]

what help said

[maiden reef]

%

[grim patrol]

#❓how-to-get-help

READ THAT

TATE

[golden bolt]

how to get me?

srry, im taken

[maiden reef]

pa fror 10 years how much will i make

[azure ice]

taken atm XD

[grim patrol]

HAHHAHA

[golden bolt]

btw ask in the available help channels bro

[azure ice]

how do i get a and b ;-;

[golden bolt]

it's just factoring :/

[azure ice]

so uh goddess said we have c

[grim patrol]

$3(x +3)^2 (x - 4 )^2 + 2 (x-4)^3 (x+3)^1$

[azure ice]

im sorry i forgot most of this cause i had other things

[grim patrol]

$3(x +3)^2 (x - 4 )^2$

[grim patrol]

look at this bit first

[azure ice]

ok

[grim patrol]

$(x -4)^2 (x+3)$

[grim patrol]

if we div by this

what do we get

or

[grim patrol]

what * this gets

[grim patrol]

that

[azure ice]

3?

[grim patrol]

um

thrs more

[azure ice]

3x + 9?

[grim patrol]

yea

ditto the 2nd half

n ull figure a and b

[azure ice]

2x - 8?

then add both?

OH

OMG

ty

[grim patrol]

yea

just

a(c) + b(c) = (a+b)c

np

[azure ice]

slowly getting htere

[grim patrol]

just

[azure ice]

ik this sounds dumb but

[grim patrol]

rmb

leave at least

1 male

n 1 female fish

dont dry out the lake

[azure ice]

most general equations confuse me

i visualize better with an example

then replicate after wards

[grim patrol]

LOL

sounds like

u shld

play

genshin

HAHHAHA

[azure ice]

no

if i play

then i wont math

[grim patrol]

OK

[azure ice]

and i m already failing as it is ;-;

[grim patrol]

HOW DOES UR

sry caps

[azure ice]

i actually need to study

[grim patrol]

what sets ur ganyu

also

isit

[azure ice]

oh that you can pm me those XD

[grim patrol]

freeze or melt

[azure ice]

we can talk genshin i fyou want

i use ganyu as a sub dps

[grim patrol]

WHATTTTT

NOOOOOO

[azure ice]

well main dps in the over world

but in the abyss i use other characyters

that attack fast

[grim patrol]

WHYS UR SUB DPS MORE DMG THAN MY MAIN

[azure ice]

well technically shes i built her as main dps but like

[grim patrol]

wanderer

or freeze

[azure ice]

the attacks pero charge shot i rather use it in intervals

[grim patrol]

or shime

[azure ice]

i run her on blizzard so shes more catered to freeze

my ratio is 10% crit rate to 250% amos bow

[grim patrol]

BUT 80k T>T

im on wanderer

[azure ice]

yeh haha

[grim patrol]

OMG

[azure ice]

i hit for a lot on melt haha

[grim patrol]

10 cr

[azure ice]

yeee blizzards buff makes that go around

[grim patrol]

im like

[azure ice]

70% okus characters

[grim patrol]

60 cr

[grim patrol]

i guess thats 40cr

oki

well

gl in math

any

[azure ice]

tyty

[grim patrol]

pasta method cooking recc?

or easy to cook foods in general

[azure ice]

waaaa

[grim patrol]

LOL

[azure ice]

ohhh its easy

like if you want something really simple

you can just use milk and all purpose cream

some cheese

[grim patrol]

OMG

[azure ice]

a bit of garlic

[grim patrol]

CREAM

I FORGOT TO BUY CREAM

[azure ice]

some hams slices

and youll have yourself simple carbonara style

[grim patrol]

no i stay away from those

[azure ice]

icic

[grim patrol]

BUT CREAM

I FORGOT

next adventure

[azure ice]

you can also add flavor cubes for more taste if you prefer that

[grim patrol]

ill get some

[azure ice]

ACTUALLY i have a simpler recipe

[grim patrol]

what r those

[azure ice]

just olive oil

tuna and flavor cubes

[grim patrol]

ok well

[azure ice]

and cheese on the side

[grim patrol]

thats

just bad

the olive oil i have tastes horrible

[azure ice]

it surprisingly tatse good

[grim patrol]

i hate tuna

nvr heard of flavor cubes

[azure ice]

icic

[grim patrol]

ill check those out tho

how do u put em in pasta tho

like do u cook em with them in olive oil?

or with the cream?

do u even cook the cream in carbonara idk

[azure ice]

flavor cubes are like uhhh example chicken cubes it acts like an instant flavoring

[azure ice]

pasta cooked first

then after olive oil

the tuna you cook it first

then mix thats it

[azure ice]

in the carbonara one

basically cook the sauce seperately

[grim patrol]

wait but

the cubes

[azure ice]

garlic first and mushrooms if your into that

[grim patrol]

how do u add the cubes

[azure ice]

in the olive oil one just shred it over like cheese

[grim patrol]

OMG

im doing daily

[golden bolt]

bro... i was gone for 10 minutes

[grim patrol]

I FAILED

[azure ice]

its gonna mix it with the oil

[golden bolt]

and it's a cooking channel now

[grim patrol]

THE MUSHROOM

LIKE

[azure ice]

HAHAHA

[grim patrol]

3 TIMES

[grim patrol]

thanks

[azure ice]

yep

XD

[grim patrol]

4 times

T.T

[azure ice]

so mushroom garlic and when you think its ok add the cream

and a bit of milk

[grim patrol]

no but

[azure ice]

then simmer mix a bit

[grim patrol]

how do u add the cubes

[azure ice]

you have your sauce

[grim patrol]

wait so both cream n milk?

[azure ice]

shred it like cheese haha

[azure ice]

ye

all purpose cream

[grim patrol]

oh nani

ok well

flavour cubes sound cool

cream too

imma

read their ingredients

[azure ice]

sure sure

[grim patrol]

to ensure they wont kill me

[azure ice]

gl with cooking

[grim patrol]

oki

gl with math

hahaha

[azure ice]

cooking is like

easier to explain

pratcically

HAHAHA

[grim patrol]

well

u play genshin

so

u cook a lot

HAHAHA

finally

5th try

mushrooms down

[azure ice]

noice

aight ama close

[grim patrol]

i normally get it in 1

lol

yep

cya

[azure ice]

tyty

.close

[pearl pond]

Channel closed

Closed by @azure ice

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Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[azure ice]

So now i need some help with this particular question using the quotient rule

[grim patrol]

so

have u used the derivative calc

[toxic lichen]

$y = \frac{ax^3}{(4-x)^2}$

[jolly parrot]

Ann

[toxic lichen]

it's this, yes?

[azure ice]

yep

[azure ice]

nop xd

[grim patrol]

u shlda

tried it

[azure ice]

im having a hard time inputing the things

[grim patrol]

oh?

whatd u try

[azure ice]

maybe im just typing it wrong

[grim patrol]

mayb-

[toxic lichen]

..........

so are we going to suggest using an online calculator or what

[azure ice]

oh shit

[grim patrol]

i mean i alr did

[azure ice]

it actually worked

[grim patrol]

in the prev time

yea

now it worked

allg

🥣

[azure ice]

in the calculator

what do i click to expand like the explanations

[grim patrol]

um

show steps

then hover over

[azure ice]

oh i see it

[grim patrol]

like

magic

[grim patrol]

🥣

[azure ice]

omay ghudness ig i just have been using it wrong

[grim patrol]

yas

[azure ice]

i swear math is like my weakest point every other subj i have i got covered

[grim patrol]

same

[azure ice]

tyty my exam is literally 2 days from now and only now am i startting to understand

[grim patrol]

no genshin

rip

[azure ice]

yeh i cant ;-;

havent been active in weeks cause of school

life of a college student

[grim patrol]

OH

I THOUGHT U SAID

HAVENT BEEN ACTIVE IN SCH

CUZ OF GENSHIN

HAHAHA

[azure ice]

NAUR HAHA

i want to

but i cant HAHA

[grim patrol]

ganbate

[azure ice]

arigato gosaimasu

ok so ama close this for now

.close

[pearl pond]

Channel closed

Closed by @azure ice

Use .reopen if this was a mistake.

[grim patrol]

cya

in a bit

[azure ice]

ya u know im gonna ask again haha

[pearl pond]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[terse vector]

im having trouble with 65 as my prof said I cannot use L'hopital's

[pearl pond]

@terse vector Has your question been resolved?

[pearl pond]

Channel closed

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Send your question here to claim the channel.

Remember:
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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[pure citrus]

why didnt we derived the constants?

[pure citrus]

im refering to 4 in x and 12 in y

[supple venture]

Because is a property of the derivate

[edgy stone]

d/dx (4x^2) = 4(2x)

you don't take the derivative of the numbers that the things are multiplied by

you just take the derivative of the actual bits

d/dx (c * f(x)) = c * d/dx (f(x)), where c is just some constant

[pure citrus]

shouldnt it be 8x from d/dx (4x^2)?

but i get what you mean with my first question

wait im so slow i just understood everythign now

ty so much

.close

[pearl pond]

Channel closed

Closed by @pure citrus

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Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[low mica]

can anyone help me with this

[low mica]

i need to know which is the profit function

revenue is 2150

[pearl pond]

@low mica Has your question been resolved?

[pearl pond]

Channel closed

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[narrow salmon]

I began on set theory today. Assume that {A} ∈ A/(x → ∞). It then stands to reason that line that which divides A must have a width which infinitely decrease by some increment approaching infinity. This means that while the line that divides A continues to perpetuate unto infinity, it must also incrementally decrease in width approaching infinitesimalinity. This poses the problem that a line is defined as a measure of length with no width. But then could we not just define the line as a width of the space between two points with no heighth such that this standard becomes arbitrary? I posit that the line which divides A reduplicatively must decrease by 1/3 increments infinitesimalinitely such that it may reduplicatively approach infinity. But I do not yet know how to express any of this mathematically. Could x possibly decrease by Unit-length increments and still infinitely approach infinity? Or, assuming prior posit to be correct, must it decrease by strictly 1/2 measure increments? These are my thoughts.

[midnight haven]

what do you mean by this? (is this supposed to be standard notation?)

if you want to talk about widths/lengths, you need a metric

[pearl pond]

@narrow salmon Has your question been resolved?

[narrow salmon]

Idk I'm still learning the notation. I meant "the set containing A contains A divided by x approaching infinity" I was envisioning {A} as a circle where A = the area of that circle, which could be an error in my thinking. @midnight haven

[midnight haven]

where are you assuming A lives? we need some notion of division, limits and infinity

[narrow salmon]

Yeah, I was a little shaky on that part too. I am envisioning a circle being divided in half infinitely many times.

[narrow salmon]

I'm not sure what this means.

[midnight haven]

ah, so A is in R^2 or somethinig

[narrow salmon]

Maybe idk lol.

[midnight haven]

you cant divide in a set without defining division

[narrow salmon]

Division is to halve.

[midnight haven]

R already has intrinsic division

[midnight haven]

same thing, what is "halving" in an arbitrary set

your problem feels more analytic then set theoretic, let me try rephrasing it for you

[narrow salmon]

I envision a circle being halved infinitely many times, and then thought that the line which divides the circle must infinitesimally decrease by some degree and then my thoughts kind of get lost there.

[narrow salmon]

yes pls

[midnight haven]

what conclusion are you trying to get? that the angle goes to 0?

[narrow salmon]

Well, not until now. Could it?

[midnight haven]

in euclidean geometry yes

[narrow salmon]

huh.

Does math ever scare you? Lol. @midnight haven Because I love it but it kind of messes me up sometimes.

[midnight haven]

yeah maths is scary and hard :p

[narrow salmon]

lmao

[cursive wraith]

ah, back for more I see

[narrow salmon]

loool yes

[midnight haven]

is this what you are talking about?

[narrow salmon]

But now I've made my peace with conventional math lol. @cursive wraith

Yes except the lines do not extend past the perimeter and minus that black swirly in the center lol @midnight haven

[cursive wraith]

the swirly is only to indicate the origin of the circle I think

[midnight haven]

yeah lol