#help-19

1 messages · Page 146 of 1

rotund hawk
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odd edgeBOT
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odd edgeBOT
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meager juniper
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mystic saffron
meager juniper
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Nami already took care of the cause, see hlounge @mystic saffron

odd edgeBOT
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candid canyon
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im almost done with this question I am just confused on what to set n in the question that fufills the natural numbers rule of s.

candid canyon
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so far i have plugged in the distance formula between (1,0) and (1/n + 1, 1/n) and i have gotten n = sqrt2 / epsilon

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but because natural numbers can't be fractions of course i am having trouble defining an n that is a natural number that works for all epsilons

candid canyon
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so to find a 0< d(P, Q) < epsilon i plugged in (1,0) for P and Q as the coords for S

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meaning 1/n + 1, 1/n

brittle beacon
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(I really think you want that to be n > sqrt{2}/eps rather than the equality that you said)

candid canyon
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I see so something like floor(sqrt(2)/eps + 1)?

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sorry for the bad explanation my brain has been running in circles

odd edgeBOT
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@candid canyon Has your question been resolved?

odd edgeBOT
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@candid canyon Has your question been resolved?

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storm swan
odd edgeBOT
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Please don't occupy multiple help channels.

buoyant dagger
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what do you need help with

velvet badger
storm swan
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its a study guide, the wording on the top is wrong, as well I was broad, I meant to say that I needed help with turning bisector based on the angle

buoyant dagger
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oh really

storm swan
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mainly numbers 3,6,7 are confusing

buoyant dagger
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"this test replaces your lowest test grade"

velvet badger
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loooooooooooooooooooooooool

buoyant dagger
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bahhahahhaha

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nt kid

storm swan
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"wording on the top is wrong"

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my guy

buoyant dagger
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oh really

storm swan
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re read my test

velvet badger
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Do u think people are born yesterday?

storm swan
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i just needed help

velvet badger
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What have you tried?

buoyant dagger
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show your work

storm swan
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i lost it

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erm

buoyant dagger
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"my dog ate my hw" head ahhhhh

storm swan
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ima be honest

buoyant dagger
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you aint fooling us man

storm swan
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this is my test

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im just dumb

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so plz

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help me

buoyant dagger
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you lie to us twice

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now you want us to do your test for you

lyric dust
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poopman

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we are emotionally hurt from that

velvet badger
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If you didn't lie the first time, we would have helped you out, but it's haram to help a liar.

lyric dust
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it is time to turn a new page and live an honest life

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suffer the fate of this exam and live an honest life after this

lyric dust
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come back and ask when ur exam is done

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dont try to cheat

velvet badger
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Cheating is haram.

buoyant dagger
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while youre at it brother

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.close this post

steady tide
velvet badger
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I agree.

steady tide
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.close

odd edgeBOT
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chilly bridge
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how does 1/costheta - costheta = (1-cos^2theta)/costheta

meager juniper
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Multiply cos theta by cos theta/cos theta

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\begin{align*}
\frac{1}{\cos \theta} - \cos \theta &= \frac{1}{\cos \theta} - \cos \theta \cdot 1 \
&= \frac{1}{\cos \theta} - \cos \theta \cdot \frac{\cos \theta}{\cos \theta} \
&= \frac{1}{\cos \theta} - \frac{\cos^2 \theta}{\cos \theta} \
&= \frac{1 - \cos^2 \theta}{\cos \theta}
\end{align*}

clever fjordBOT
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OmnipotentEntity

meager juniper
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@chilly bridge ^ does the above help?

chilly bridge
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yes thanks legend

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odd edgeBOT
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odd edgeBOT
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lime vortex
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can someone help me understand how i get 875

amber schooner
lime vortex
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ph

amber schooner
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what

lime vortex
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oh*

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ty

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shadow fractal
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can aynone help with this?

odd edgeBOT
rigid dragon
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What part?

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That looks like three problems

shadow fractal
rigid dragon
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So what’s the definition of a blinded set

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Bounded*

shadow fractal
rigid dragon
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No that’s not how this works my friend

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I know the definition

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I guess you’re telling me you don’t?

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That’s okay

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But I want you to find it

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In your notes or textbook

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Can you do that for me?

shadow fractal
rigid dragon
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yeah exactly

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a precise way to state it could be there exists a real number b such that for all x in A |x| <= b

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can you find a real number that bounds the set {xy : x,y in A}

shadow fractal
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ohh

shadow fractal
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if x <= b

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and y is also in A

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so y <= b

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x times y <= b^2

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sothere is a bound

rigid dragon
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yeah thats pretty much a proof

shadow fractal
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is that it

rigid dragon
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the only thing is use absolute values

shadow fractal
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yeah

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i couldnt bothertyping that in pc

rigid dragon
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or be careful to define upper and lower bounds

shadow fractal
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thankyou man

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or woman

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or

rigid dragon
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np

shadow fractal
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may u enlighten me further ?

rigid dragon
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first off

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translate it to english

shadow fractal
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for any X there exists and n in N ]

rigid dragon
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or whatever natural language youre most comfortable with

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i assume english

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since the problem is in english

shadow fractal
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i know the first 2 parts

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but then y comes

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and idk how to read it anymore

rigid dragon
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the best way it to add a "such that"

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i know that usually you translate : as such that

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but

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its also good when connecting an existence statement

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so i would read it as: For all x in R There exists a n in N such that for all y in R x^n = y

shadow fractal
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ahh

rigid dragon
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do you think its true?

shadow fractal
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what if there was a 4th

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lets say z in R

rigid dragon
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is it for all or there exists?

shadow fractal
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any Z in R

rigid dragon
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then just say there exists n in N such that for all y and z in R

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you would jsut combine them in english

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but you wouldnt combine tehm in the FOl language

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youd still write A y in R, A z in R

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but shorthand notation is allowed

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i would write A y,z in R

shadow fractal
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hmm

rigid dragon
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where A is the for all symbol

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and in is the little e symbol

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theres technically a very formal approach

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but math proofs are about convincing other mathematicians that your logic is sound

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it doesnt matter really unless youre treying to do automated proof on a computer

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then the syntax has to be very particular

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you'll learn to write proofs and youll develop idiosyncrasies

shadow fractal
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i have my introduction to analysis final in a bit hahahah

rigid dragon
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this is analysis?

shadow fractal
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it is not looking to well as of right now

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ye

rigid dragon
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it seems you maybe are cramming then

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best of luck tho

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im surprised you didnt do a proofs class or discrete maths first

shadow fractal
rigid dragon
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good

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how can you give a counter example

rigid dragon
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first i would suggest negating the statement

shadow fractal
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let x= 0 and n any N

rigid dragon
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do you rememebr how to do that?

shadow fractal
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you have to reverse every sign or smth

rigid dragon
rigid dragon
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and you have to prove tehya re not equal

shadow fractal
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Ex in R and any n in N such that Ey such that x^n is not equal to y

rigid dragon
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so there exists x in R such that for all n in N there exists a y in R where x^n != y

shadow fractal
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E = exists

rigid dragon
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so you x=0, n any natural, and y = 1

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thats a counter example

shadow fractal
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hmm

rigid dragon
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that's all you need to prove that its false

shadow fractal
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okay got it i think

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i understand the 3rd one now too i think

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i will try and make this question with my newly acquired knowledge

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Completely wrong or?

rigid dragon
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uhhh

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not completely wrong no

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but some erroes

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errors

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you didnt define m

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you dropped the absolute value

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well actually

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nvm the abs isnt even needed at all because you know that x and y are positive

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so jsut be careful that you define m and dont reuse b

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and it looks fine

shadow fractal
rigid dragon
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i would have just done there exists a u in R

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idk what you mean by u in B

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its probably fine now

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i have to go

shadow fractal
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Cant you correlate u being in B1, which implies it being in A1, which implies x,y in R

shadow fractal
odd edgeBOT
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@shadow fractal Has your question been resolved?

odd edgeBOT
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odd edgeBOT
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odd edgeBOT
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hoary marsh
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Hello

odd edgeBOT
hoary marsh
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Not sure how to start

dense mirage
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you have two equations with A, substitute the first into the second

hoary marsh
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wdym two equations?

dense mirage
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in the last line

hoary marsh
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What does A[3, 2, 1] mean?

lyric dust
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is this a uni linear algebra course or highschool

late dust
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Do you understand what A is?

dense mirage
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A multiplied with [3.2.1]

hoary marsh
lyric dust
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just started? (not to sound condescending)

hoary marsh
hoary marsh
late dust
hoary marsh
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[(2, 1, 3), (-1, 4, 1), a_3]

late dust
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Ok, pick some variables for the components of a_3

hoary marsh
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x_1, x_2, x_3

late dust
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then just do the matrix-vector multiplication

hoary marsh
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Ohhh wait

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This is Ax = b form

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Am I stupid

late dust
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Yes (this is Ax = b)

hoary marsh
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This is easy af

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Thank you guys

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I'm acc high

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odd edgeBOT
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odd edgeBOT
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atomic dock
#

I see that B is the right answer why? C is smaller than 0
And a should be equal to or lager than 1 because it opens upward

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!status

odd edgeBOT
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What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
atomic dock
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3

steep mantle
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notice how any real number when squared would give a non negative number, so it must be subtracted by some ammount to get -4

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if c<0 then it would be added by some ammount instead of subtracting, making it impossible

odd edgeBOT
#

@atomic dock Has your question been resolved?

odd edgeBOT
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eternal sorrel
odd edgeBOT
eternal sorrel
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if we start by proving the statement "K is compact relative to Y if K is compact relative to X" then cant we just say that this statement is clearly true since the finite subcover of K contained in Y is also contained in X

odd edgeBOT
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@eternal sorrel Has your question been resolved?

eternal sorrel
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<@&286206848099549185>

mystic saffron
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roger

eternal sorrel
mystic saffron
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🧭

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i could help if i knew

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can you breakdown the question?

eternal sorrel
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do you know a bit of topology ?

mystic saffron
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in networks?, yes

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uhm nope

eternal sorrel
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no in math

mystic saffron
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rubber sheet geometry is not for my age i suppose

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im 16

eternal sorrel
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i am 18 but i learn higher level math because i am interested in it so i deepen my knowledge in math and have fun at the same time

mystic saffron
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oh glad to know that

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if i had time, i could do the same thing but

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i have to prepare for competitive exams

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jee mains and advance

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so yup

eternal sorrel
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ohhh nice

mystic saffron
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yess

mystic saffron
eternal sorrel
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gl i hope you ace in these exams

mystic saffron
eternal sorrel
mystic saffron
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.. i dont quite get you

mystic saffron
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either way i would study math

eternal sorrel
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ohh good to hear that

mystic saffron
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yup

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its the language of universe

eternal sorrel
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yes and the process of thinking needed is something else

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it is so fun even when you struggle to solve a problem or understand an idea XD

eternal sorrel
# eternal sorrel

anyway if you want i can explain to you a bit about what this means

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odd edgeBOT
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eternal sorrel
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.reopen

odd edgeBOT
#

eternal sorrel
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isnt any subset of a compact set compact?

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let K be a compact set and let W be any subset of K, since K is compact then there exists a finite collection of open sets {G_i} with i=1,2,...,n such that K is a subset of their union which also means that {G_i} is an open cover of W and thus W is compact

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so why would the author talk specifically about close subsets of K instead of any subset of it

meager juniper
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Well, compact is the generalization of closed and bounded in Euclidean space, right?

So what if we have the following set in R: [1, 4]

And then we have the following subset: (2, 3)

Clearly this is a subset, but it isn't closed, therefore it is not compact.

eternal sorrel
# eternal sorrel

ohh yes i see i just proved that every compact set is closed and forgot about this fact the instant i hopped to try proving this theorem hmmcat

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thank you so much for your illustration

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eternal sorrel
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.reopen

odd edgeBOT
#

eternal sorrel
eternal sorrel
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<@&286206848099549185>

drowsy yew
gleaming turtle
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You'd need to show that every open cover has a finite subcover

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Not that there exists a finite open cover

eternal sorrel
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ohhh yes thats it tysm

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.close

odd edgeBOT
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frail reef
#

Write 𝑇(𝑛) for a triangular board of side-length 2n which is subdivided into equi-
lateral triangles each of side length 1. If a triangle shares one (or two) of its sides
with the large triangle, then it is called an edge triangle. If it shares two of its sides
with the large triangle, then it is called a corner triangle. A (triangular) triomino is a
tile consisting of three adjacent triangles.
d. For which n is it possible to tile the remaining board with triangular triominos after
any (one) corner triangle is removed from 𝑇(𝑛)? Provide a proof by induction.
e. Go to ChatGPT and ask it to prove that 7! − 2! is divisible by 5 for all positive
integers 𝑛. Print out the proof the AI produces, highlight the errors in the proof, and
explain why each error you identify is an issue.

frail reef
#

it's mathematical structures

odd edgeBOT
#

@frail reef Has your question been resolved?

frail reef
#

No

odd edgeBOT
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mystic saffron
odd edgeBOT
mystic saffron
#

Just a simple question, but convolving those two yields just h[n] surely right

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x[n] is just several dirac deltas running from 0 to 5

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so you are just sampling h[n]

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nvm its not

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steady cargo
#

I need help on the first step which is getting common bases, I know how to solve the rest.

long tinsel
#

factorize 16 and 4

steady cargo
#

i got 2 to the power of 4 for 16 and 2 to the power of 2 for 4

long tinsel
#

So I assume you now have $(2^4)^{\f 13}(2^2)^{\f 13}$

clever fjordBOT
#

krypton

steady cargo
#

yes

long tinsel
#

right so $(a^b)^c = a^{bc}$ for $a > 0$ and $b, c \in \set R$

clever fjordBOT
#

krypton

steady cargo
#

oh okay thanks

#

.close

odd edgeBOT
#
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odd edgeBOT
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brave tiger
#

can some help me with radical in maths im in the 8 grde but pls in call****

odd edgeBOT
#

Please don't occupy multiple help channels.

brave tiger
#

hi?

crisp wadi
#

Like the bot said, don't open multiple channels

winter berry
#

you already opened one channel, close this one

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nvm

brave tiger
#

how?

winter berry
#

other one was already closed

crisp wadi
#

I closed the other one, continue here

brave tiger
#

thx

#

can u help me with radicals

winter berry
#

what are you having trouble with specifically?

#

what about radicals in specific

odd edgeBOT
#

@brave tiger Has your question been resolved?

#
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nimble apex
#

i need help checking 4 Questons

odd edgeBOT
nimble apex
#

.close

odd edgeBOT
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brave tiger
#

ich brauche hilfe in mathe 8 klasse wurzeln

wet ferry
#

ah nein frag einfach auf deutsch

#

if muss mein deutsch üben

brave tiger
#

oke

#

kannst du in call?

wet ferry
brave tiger
#

oke warte

#

dort die nummer 10

wet ferry
#

ich kann nichts lesen diggi

#

kannst du die Foto von näher nehmen

odd edgeBOT
#

@brave tiger Has your question been resolved?

odd edgeBOT
#

@brave tiger Has your question been resolved?

odd edgeBOT
#

@brave tiger Has your question been resolved?

odd edgeBOT
#

@brave tiger Has your question been resolved?

odd edgeBOT
#
Channel closed

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#
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!

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vocal horizon
#

I need help

odd edgeBOT
kind shuttle
vocal horizon
#

I don’t get it…

kind shuttle
#

x is larger and equal to negative 3 and smaller and equal to 5

vocal horizon
#

So I flip the sign?

kind shuttle
#

also its not asking for the range and only the domain so 0<=x<=6 would not be needed

vocal horizon
#

Ohh ok

#

So it’s -3>=5?

kind shuttle
#

-3<=x<=5

vocal horizon
#

Oh so I just didn’t have the x in the middle

kind shuttle
#

domain is for the values of x while range is for the values of y

vocal horizon
#

Ok…

#

I’m try this problem

#

I think I got it 🙂

vocal horizon
kind shuttle
#

whenb its a cirlce instead of a dot

#

that means its not equal to the value'

#

so remove the equal sign

vocal horizon
#

Ohhhhn Tysm!

odd edgeBOT
#

@vocal horizon Has your question been resolved?

#
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odd edgeBOT
#
Available help channel!

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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.

tidal jewel
#

Why is this not also 1 as a restriction? Also if this was vice versa, like g(x) was f(x) and yeah, then would it have two restrictions (IF SOMEHOW the end result was still 1/(x+2)^2. So that means that only the one inside matters like f(g(x)) for restrictions and the final f(g(x)) as a whole. Not the f(x)'s restrictions by itself?

odd edgeBOT
#

@tidal jewel Has your question been resolved?

odd edgeBOT
#
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#
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.

dense stone
#

What is area of line EF when there's square ABCD and area of lines are AB=9,AD=12,AC=14

hushed island
#

can you show the original problem

quasi falcon
odd edgeBOT
#

@dense stone Has your question been resolved?

dense stone
clever fjordBOT
odd edgeBOT
#

@dense stone Has your question been resolved?

odd edgeBOT
#
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#
Available help channel!

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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!

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dense stone
#

?

odd edgeBOT
#

@dense stone Has your question been resolved?

cyan latch
livid spoke
# dense stone ?

you already have the values for AE and EC just make an equation you will get EF once you subtract EC from AF

dense stone
#

But area of line AE is unknown

livid spoke
cyan latch
odd edgeBOT
#

@dense stone Has your question been resolved?

odd edgeBOT
#
Channel closed

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#

odd edgeBOT
#

@dense stone Has your question been resolved?

dense stone
#

I tried to get area of BE by $◿ACB=129/2 then 129/2/14 = BE$

clever fjordBOT
#

아리스킨충1
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

dense stone
#

$\triangle{ACB}=12\ast\frac{9}{2} then \frac{12\ast\frac{9}{2}}{14} = \overline{BE}$

clever fjordBOT
#

아리스킨충1

odd edgeBOT
#

@dense stone Has your question been resolved?

odd edgeBOT
#

@dense stone Has your question been resolved?

sick pulsar
odd edgeBOT
#

@dense stone Has your question been resolved?

autumn vine
# dense stone

DC=9cm이므로 내각이등분선정리에 의해 AF:FC=12:9 이고
비슷하게 ABC에서도 내각이등분선정리 사용하면 정답 ||2|| 나옵니다

#

그리고 질문 전에 AI 사용하셔서 제대로 번역해 주시면 더 빠르게 답을 받을 수 있을겁니다

odd edgeBOT
#

@dense stone Has your question been resolved?

mystic saffron
odd edgeBOT
#

@dense stone Has your question been resolved?

odd edgeBOT
#

@dense stone Has your question been resolved?

mystic saffron
#

혹시 수능 보시나요?

fading pike
mystic saffron
#

저 한국에서 태어났습니ㅏ

#

당신은요?

fading pike
mystic saffron
#

혹시 실례가 안된다면

#

몇살이세요?

fading pike
mystic saffron
#

전 지금 영국에 거주하고 있습니다..

fading pike
mystic saffron
#

님은요?

fading pike
#

sydney

mystic saffron
#

저랑 삷이 비슷하신거 같은데

#

친구하실레요?

fading pike
#

gtg

mystic saffron
#

me too

dense stone
#

지금 그게 문제가 아니라 내각이등분선정리가 뭔지 모르겠음

tidal jewel
#

WHAT THE HELLL IS THIS LANGAUGEGEGE

umbral kite
#

korean

mystic saffron
#

= 12/9 = 4/3

honest forum
mystic saffron
honest forum
#

wtf

#

is this even a language

mystic saffron
#

u don't need to know

#

🙂

honest forum
#

blud didnt evolve

#

from hieroglyphs

peak heron
peak heron
umbral kite
#

how did this turn into language class

gusty wyvern
#

isnt that...

#

hangul

#

calling hangul korean is like calling mandarin chinese

left pier
neat frost
#

taehyung stans spotted

south lichen
#

This thread is so dumb lol

umbral kite
#

wtf lmao

pastel orbit
sharp anvil
near phoenix
#

hello

dense stone
#

지금 이게 무슨상황임

grand mural
#

몰루

grand mural
mellow valve
jaunty pumice
#

I didn’t think there were people on the internet that didn’t know Korean existed 💀

jaunty pumice
manic rose
manic rose
jaunty pumice
#

It just stares into space and then sleeps

dense stone
grand mural
#

뭔소리세요

#

님 풀이과정 좀

dense stone
#

9:12=x:y,x+y=14 로 놓고 하나라도 구하려고 했음

#

그랬더니 x는 6이나왔고

#

그럼 BE=FD=6 이여야하지만 그와동시에 x+y=14가 아니라서 이상해짐

#

BE를 x,FD를 y로 놓고푼결과

#

조건이 이상한건지 방정식을 틀리게푼건지 모르겠어서 더 복잡해진거고

warped urchin
#

Are you sure its not chinesse

young forge
#

Looks more like Korean for me

#

In chinese there is more intersections and curves

jaunty pumice
#

Its Korean you can tell because of the eclipses

grand mural
#

Korean: 이건 한국어입니다.
Chinese(Used in mainland): 这是中文。
Japanese: これは日本語です。

mystic saffron
#

네네

strange bear
mystic saffron
#

What’s going on here💀

#

이 한문제를 며칠동안 풀다니…

errant jewel
dense stone
#

그렇게 쉽게 안풀림

grand mural
grand mural
#

저 도형을 직접 그려서 풀어봐

slow sandal
sonic socket
#

.close

jaunty pumice
dense stone
#

결국 값을 구하긴했는데 뭔가 이상함

grand mural
#

뭐나왔는데

dense stone
#

BE=FD=6

mystic saffron
#

💀

quiet kettle
#

전에도 말했지만 개념을 정확히 되짚고 다시 풀어보시는걸 권장드립니다

dense stone
#

처음부터 공식을 알고있어야 한다는거부터가 전혀 간단한게 아닌거같은데

quiet kettle
#

?

#

공식을 이해하고 알고 있는게 수학 문제 풀이의 기본인데요

#

그 공식을 제대로 이해하고 적용할 수 있는지를 보는게 중학교 수학 문제인데

#

그리고 보통 중학교 수학 문제집 보면 문제 나오기 전에 그 문제들을 풀기 위한 개념 설명을 할텐데

#

그거도 안보고 푸시는 건가요

grand mural
#

K-잼민 미치겠다

lean willow
#

молоко я люблю тебя да

dense stone
#

공식도 외우기엔 너무많은데 그거까지 외우는건 거의 불가능임

mystic saffron
#

하...

manic rose
errant vapor
#

Rules say English right?

manic rose
#

@dense stone Bro just close the channel at this point

dense stone
#

But I still don't know answer

dense stone
#

I even used formula but seems like it has error

noble solstice
#

you know x, y and the diagonal, from there find the angle

#

after finding the angle just complete the triangles with sine rule and whatnot

left summit
dense stone
#

Do I need to use triangular function to solve this

runic pulsar
#

공식을 완벽하게 익히는 것이야말로 이 단원의 문제를 푸는 데 정수 ― 혹은 그 이상 ― 입니다.

이 단원은 특히 공식을 외워 쓰지 않으면 ― 대부분의 경우 ― 푸는 데 시간이 오래 걸립니다.

특히 도형은 공식 기초를 다져 놓고 풀어야 풀기에 수월합니다.

물론 공식을 외우지 않고 풀 수도 있겠지요. 안 될 건 없습니다.

하지만 그러면 시간이 너무 오래 걸립니다. 시간 제한이 있는 시험에서는 아주 힘들겠지요.

암기하는 데 어러운 점이 있는 것은 이해합니다. 저도 그랬고요.

#

한문장 요약: 공식을 익혀 풀자.

dense stone
#

그럼 이것도 공식없이 푸는게 가능한거였음?

fading pike
#

gaesaekki is the only word ik in korean

quiet kettle
#

이론상 님이 매우 머리가 좋으면 가능합니다

#

근데 그렇게 푸는게 님이 공식을 직접 유도해서 푸는거랑 별반 다를게 없음

#

결론적으로 어떻게 이 문제를 풀든 결국 님은 문제를 풀기 위한 공식을 사용할 수 밖에 없어요

#

머리가 좋아 공식을 모르고도 푼게, 실상은 님이 직접 공식을 알아낸 것이기 때문이죠

#

근데 님이 직접 유도를 할 정도로 머리가 좋지 않다면 다른 머리 좋은 분이 직접 유도한 공식을 이해하고 써먹을 수 있어야죠

#

그게 초중고 문제 풀이의 기본입니다

#

저는 그렇게 생각해요

#

이 상황을 빗대어 생각해보죠

#

님이 높은 나무에 위치해 있는 사과(문제)를 따고 싶다고 다른 분들께 도움을 요청하는 상황인데

#

여기 계신 분들은 사과를 따기 위해 사다리(문제를 풀기 위한 방법, 혹은 공식)을 사용하라고 조언해주고 있어요

#

근데 님은 지금 사다리를 들고 오기 힘들다고 싫다면서 사과를 따기를 요구하는 거에요

#

이러면 조언을 하는 저희 입장에서는 어쩌라는건가 싶어요

#

높이 있는 사과를 따려면 사다리가 필수적인데, 그걸 안들고 오겠다는게 말이나 됩니까

#

다른분들 생각은 저랑 다르거나 비슷하실 수도 있지만 제 입장에서 살펴본 생각을 얘기해 봤습니다

quiet kettle
#

기본이 안된 상태로 질문에 대한 답을 해봤자 님은 이해하지도 못하고, 저희도 답답해요

#

저분도 비슷한 맥락에서 그냥 채널을 닫는게 낫다고 하신것 같아요

worn swallow
#

damn longest time i seen a channel alive for

#

if you wanna learn a formula you can just understand it, that way it will take to it more kindly

#

in my class the teachers always makes us derive the formulas

#

also you could you translate to english so more people can help

#

as a lot of people here do not speak south korean

regal vine
#

그냥 지가 공부 안하고 징징대는거지 뭐

left summit
#

위에 읽어보면 ab/ac=bd/dc 증명 있을걸요

#

가장 중요한 건 보내주신 문제 자체에서 어떤 방식으로 풀라고 특정 짓지 않았다는 거에요

#

공식 쓰면 뒤지는 병이 있어요?

left summit
# left summit 위에 읽어보면 ab/ac=bd/dc 증명 있을걸요

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#

영상도 있어요

dense stone
#

이제 알았음

left summit
#

.close

#

,close

errant jewel
runic pulsar
#

이름(아리스킨충)을 보니깐 롤 좋아하시는 것 같아 윗글의 내용을 조금 이용해 추가로 롤에 비유해 설명해 보겠습니다.

우리가 라인전을 할 때 상대 챔프를 보잖아요?

우리는 그 상대 챔프를 보면서, 그 스킬을 생각하면서 라인전을 합니다.

만약 내가 상대 스킬을 모르면 라인전이 힘들고 계속 죽겠지요

그러니깐 우리는 상대 챔프를 잘 모를 때 인터넷이나 유튜브에 검색하잖아요

이처럼 수학도 똑같습니다.

수학 문제를 풀려면 그 공식을 알아야 풀기 쉽고 없으면 풀기가 어렵습니다

새 챔프가 나올 때 우리가 스킬을 찾아보는 것처럼 수학 공식도 만약 새로운 개념을 배웠을 때 우리가 공식을 알아야겠죠

하지만 이런 생각이 들 수도 있습니다

"그냥 스킬 몰라도 하다보면 저절로 익혀지는데?"

맞습니다, 하지만 공식을 쓰지 않았다고 생각하기엔 바르지 못합니다.

그래서 이긴다 해도 결국 그 챔프에 대한 파훼법(공식)을 스스로 깨달은 것이죠

하지만 그만큼 똑똑하지 않아서 (혹은 다른 이유로) 그 챔프에 대해 파훼법을 스스로 깨닫지 못한다면

유튜브 같은 곳에 잘하는 사람들이 올려 둔 영상들을 찾아서 봐야 알 수 있습니다. 당연한 것이지요

만약 안 그러면 사람들이 왜 자꾸 죽냐고 욕합니다. 특히 랭전에서는요

수학도 마찬가집니다.

질문할 때 최소한 공식 정도는 알아와야 사람들도 친절하게 알려줄 수 있고 답답해 하지도 않겠지요

이처럼 공식을 외워야 풀기가 훨씬 수월합니다.

mystic saffron
#

뭐임ㅋㅋ

warped urchin
#

디디 파티 같은 파티는 없지

gaunt owl
#

I need help

wet raven
#

Parallel lines will have the same slope, i.e., the same coefficients for y and x

#

And you should know that the slope-point form of a line of slope m and passing through (x1, y1) is y-y1=m(x-x1)

#

use both of those to find the answer

cinder halo
# dense stone

This is very simple. Find the height of the parallelogram.

#

Use the height and base as an orthogonal basis to get the coordinates of E and F.

#

Then apply the appropriate skew transformation and then find the distance between E and F.

dense stone
#

I found BC:CE=9:AE but it is not enough

cunning wyvern
#

채널 안닫아요?

dense stone
#

공식을 알아도 안풀림

grand mural
#

그냥 안풀린다라고 하지말고 니 풀이과정을 보여주던가 어디에 막혔던가 이걸 알려달라고

#

그래야 니를 도와주던 말던지 하지

dense stone
#

BC:CE=9:AE 라는식을 얻긴했는데 더이상 방법을 못찾아서 막힘

runic pulsar
#

@dense stone

bitter folio
#

uh <@&268886789983436800> the rules say 'primarily english' so idk if this counts

#

sorry for the ping if nothing's wrong

bitter folio
#

ah okay ty for the clarification

#

sry for disturbing

dense stone
#

이제 풀렸음

quiet kettle
#

이제 채널 닫죠

dense stone
#

/close

#

.close

odd edgeBOT
#
Channel closed

Closed by @dense stone

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dense stone
#

아직도 안닫힌거같은데

dense stone
#

이거 왜이럼

dense stone
#

.close

celest ingot
#

Cuál es el signo sigma?

mystic saffron
#

이거 뭐꼬?

#

이 채널도 빡친듯

pastel orbit
#

oh hey, it's finally closed

dense stone
#

아직도아님

manic rose
left summit
#

그냥 아린스킨충1 님이 계정을 삭제하시는 게 더 빠를 듯

drowsy venture
#

안녕하세요 도움이 필요하신가요

left pine
#

This is awesome<3

mystic saffron
#

.reopen

#

。。

kindred flume
#

이, 이게뭐냐;;

graceful elk
#

안늉~

odd edgeBOT
#
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small pivot
#

Does the -2 in front of the three factors have an impact or not?

small pivot
#

For the table of signes

sand horizon
#

Oui

#

Il y aura une ligne réservé au -2 avec que des moins tout le long

quasi sparrow
#

,rccw

clever fjordBOT
odd edgeBOT
#

@small pivot Has your question been resolved?

odd edgeBOT
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mystic saffron
odd edgeBOT
mystic saffron
#

I know how to read steam and leaf diagrams, just not how to get the interquartile range

#

from here

small pivot
mystic saffron
sand horizon
mystic saffron
#

Pfp is cute so I forgive him

quasi sparrow
wanton bison
#

word up

quasi sparrow
quasi sparrow
mystic saffron
#

I can do the median

#

Is it 50

quasi sparrow
#

Q1 = median of the minimum and median

mystic saffron
#

Oh

quasi sparrow
#

Q3 = median of the median and maximum

mystic saffron
#

im a bit confused

quasi sparrow
#

that was probably an abuse of words

#

consider this as a "new" stem leaf plot

#

50 is now the minimum and 64 is still the maximum

quasi sparrow
mystic saffron
#

I wouldn’t trust me

quasi sparrow
#

find the median of this "new" set

mystic saffron
pastel orbit
mystic saffron
#

Hi higher!

mystic saffron
quasi sparrow
#

oh you're right about being wrong

#

52 is the median

mystic saffron
#

Wow

#

Im quitting maths forever

quasi sparrow
#

no just kidding i can't count

#

50 is right

mystic saffron
#

Ok one sec let me rub everything out

#

Oh

#

SMH

quasi sparrow
#

57 is right

mystic saffron
#

yay

quasi sparrow
mystic saffron
#

Then do the same for the first portion?

quasi sparrow
#

yes

mystic saffron
#

Ok one sec

#

Is it 42

quasi sparrow
#

yes

mystic saffron
#

And then u do 57 - 42

#

To get 15

#

Is that the final answer

quasi sparrow
#

should be yea

mystic saffron
#

oh okk

#

tysmm

#

.close

odd edgeBOT
#
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odd edgeBOT
#
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dreamy wasp
#

Anyone know convex optimization? I found a projection for a set S representing hollow sphere in n dimensions with radius 1, (norm squared of x = 1 for all x in the n dimension) which is x / norm x if norm squared x != 0 and any pt in x if x = 0, how can I show that if norm squared x != 0 then norm of projection of x minus x <= norm of y - x for all y in the set S?

odd edgeBOT
#

@dreamy wasp Has your question been resolved?

dreamy wasp
#

<@&286206848099549185>

odd edgeBOT
#

@dreamy wasp Has your question been resolved?

odd edgeBOT
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stone drift
#

I have a math final in five days and my professor gave us a preview on the questions we should expect, he told us the best way to prepare would be to make new problems based on the study problems we did in class so I wanted to get help with that here. I didn't want to try and make them on my own since I'm worried I'll create questions that are too easy and won't let me understand what's being asked of me. Could I get help in this channel with making practice test questions here?

mental storm
odd edgeBOT
#

@stone drift Has your question been resolved?

odd edgeBOT
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dusky hemlock
#

yo

odd edgeBOT
dusky hemlock
#

I need help finding teh derivative of ts

velvet heart
dusky hemlock
#

so from her

#

I got 2x for the first one

#

and then I was trying some product rule thing

#

after multiplying the four out

#

not product but qoutient

#

so I would get the [(0)(x^2)-(2x)(204800)]/x^2

#

and I simplieifed and took out the x

velvet heart
#

$x^2 + 4x \left( \frac{256000}{x^2} \right) = x^2 + \frac{4 \cdot 256000 \cdot x}{x \cdot x} = x^2 + \frac{4 \cdot 256000 \cdot \cancel{x}}{\cancel{x} \cdot x} = x^2 + \frac{1024000}{x}$

clever fjordBOT
velvet heart
#

the second term can be simplified

dusky hemlock
#

so would the derivatvie be

#

2x-102400x^-2

velvet heart
#

yeah

dusky hemlock
#

alr thank you

velvet heart
#

three zeros tho

dusky hemlock
#

also w album chromakopia

#

ye I realised

velvet heart
#

true

dusky hemlock
#

real quick

#

fav song off it?

velvet heart
#

like him !

dusky hemlock
#

yessir

#

my fav aswell

#

.close

odd edgeBOT
#
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odd edgeBOT
#
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wooden wave
#

What are the dimensions of a can that has a 0.5 leater volume

fossil current
wooden wave
#

just one of the pssiblitys

#

plz

fossil current
#

10cm x 10cm x 5cm

wooden wave
#

thanks

fossil current
#

bc 1 liter is 1000cm^3

narrow crypt
#

Any can with dimension that satisfies ${0.5 = \pi r^2 h}$?

clever fjordBOT
fossil current
#

yes

#

oops i was thinking box lol

odd edgeBOT
#

@wooden wave Has your question been resolved?

odd edgeBOT
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rose pawn
odd edgeBOT
rose pawn
#

How do i find the Horizontal Asymptote

#

This is precalculus

glad anchor
ancient rampart
# rose pawn

not sure how you'd analyse all this without calculus

glad anchor
#

if you perform polynomial long division i think you'll get the slant asymptote

#

just ignore the remainder term

#

(goes to 0)

forest sky
#

in general for rational functions, we have three cases:

  • if the degree of the numerator is higher, there is no horizontal asymptote
  • if the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of the leading coefficients
  • if the degree of the denominator is larger, the horizontal asymptote is 0
odd edgeBOT
#

@rose pawn Has your question been resolved?

#
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rose pawn
#

.reopen

odd edgeBOT
#

rose pawn
#

Tysm

#

.close

odd edgeBOT
#
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odd edgeBOT
#
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zenith ledge
odd edgeBOT
zenith ledge
#

can someone help me question ii

main creek
#

!status

odd edgeBOT
#
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
zenith ledge
prisma egret
#

Rotate \overrightarrow{AC} 90 deg. \overrightarrow{AC} \mapsto (-1, -2). Then \overrightarrow{AC} \dot \overrightarrow{AB}

zenith ledge
#

i think we can see that I don’t have an answer and that ive gotten stuck

main creek
#

do you know how to find a vector perpendicular to q?

prisma egret
#

of course, since i is solved

odd edgeBOT
#

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jade pagoda
#

∀x∃yRxy→Pa entails ∀x∃y(Rxy→Pa)
is this a counter-model?
D={1,2}
a:1
P={}
R{<1,2>}

odd edgeBOT
#

@jade pagoda Has your question been resolved?

odd edgeBOT
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latent wagon
#

I need help with these

odd edgeBOT
#

@latent wagon Has your question been resolved?

warped glacier
latent wagon
#

I think I got the first one with Y=0.3*x^2(x-2)(x+3)

#

But I’m so lost on the second one

warped glacier
#

ah okay, then just follow the same strategy as before

#

you have (x + 1)^2, (x - 2)^2, and (x - 4)

#

so you must have y = k (x + 1)^2 (x - 2)^2 (x - 4) for some real number k

latent wagon
#

I do but how do I get the y axis to 8

warped glacier
#

so you can find k

latent wagon
#

Ok thank you

warped glacier
odd edgeBOT
#

@latent wagon Has your question been resolved?

warped glacier
#

.close

odd edgeBOT
#
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odd edgeBOT
twin quarry
#

ew is that inverse

odd edgeBOT
#

@heady plover Has your question been resolved?

summer kite
#

It's 4

#

The answer is 4

#

Trust pookie

odd edgeBOT
#
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peak maple
odd edgeBOT
peak maple
#

Ik u integrate to get displacment

#

but why do they need that here

#

.close

odd edgeBOT
#
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peak maple
#

.reopen

odd edgeBOT
#

peak maple
#

how do i do 6b

#

wait nvm

#

.close

odd edgeBOT
#
Channel closed

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peak maple
#

.reopen

odd edgeBOT
#

peak maple
#

wait acc idk how to do it

#

I tried to integrate it

cursive field
#

just integrate and take the absolute value?

odd edgeBOT
#

Show your work, and if possible, explain where you are stuck.

peak maple
#

so integrating 8t-3/2t^2

tacit wasp
#

Or maybe you can recognize that is a uniformly decelerated motion

cursive field
#

aaaaaaaaand how does that help

peak maple
#

gives me 32t^2 - 1/2t^3

cursive field
#

no

#

no it doesn't

peak maple
#

+c

#

wait

cursive field
#

the t^3 term is correct

peak maple
#

lemme do that again

cursive field
#

because at t = 0, the object is at the origin i.e. distance 0

peak maple
#

idk wtf im doing

tacit wasp
peak maple
#

haha

#

erm

#

4t^2

#
  • 1/2t^3
cursive field
#

yep

tacit wasp
cursive field
#

4t^2 - 0.5t^3 + c

#

now what do you think "c" is?

peak maple
odd edgeBOT
#

Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

peak maple
cursive field
#

yes, but think about why

#

we won't always be there to tell you yk

peak maple
#

idk 🙉

cursive field
#

okay

peak maple
#

oh wait

#

u mentioned

cursive field
#

yeah?

#

😭

peak maple
#

i was thinking smthing about P being at origin as well

cursive field
#

good

cursive field
#

see the thing is

#

to isolate c

#

all the other terms must be zero

#

so you can set t = 0

#

but at t = 0 the object is at the origin (it's mentioned) so the distance is 0

#

i.e., x(0) = c = 0 -> c = 0

#

so you get x(t) = 4t^2 - 0.5t^3

#

now just set t = 4 and you're done

peak maple
#

ah ok thank you

#

.close

odd edgeBOT
#
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odd edgeBOT
#
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icy grove
#

someone explain me why this limit is indeterminate

velvet heart
#

,w graph cos(pi*sqrt(x² + x))

velvet heart
#

,w graph cos(pi*sqrt(x² + x)) from 0 to 100

velvet heart
#

yeah

icy grove
#

this is the solution my teacher gave me

#

i wasnt really satisfied with wolfram ai's answer, so here i am

velvet heart
#

i don't think (-1)^n * cos(pi/2) goes to 0

native canopy
#

nice

velvet heart
#

oh its pi

native canopy
#

cos (90)

#

0

#

alwahys

velvet heart
#

right

native canopy
#

regardless of n

icy grove
#

um

#

im confused

#

the graph suggests something else

#

this proof also seems convincing

velvet heart
#

,w graph (-1)^n cos(npi - pisqrt(n² + n)) from 0 to 20

icy grove
#

ah ha!

#

found it

#

both the ns are not the same

#

right?

native canopy
icy grove
#

but wait a second, if n is large, we should be able to approximate it to the nearest integer

#

i dont get it

native canopy
#

you're trying to solve for L given n->inf right?

velvet heart
#

something is wrong on the step 1 to 2, as the first oscillates and the other shrinks to 0

icy grove
#

yes

velvet heart
#

,w cos(pisqrt(n² + n)) = (-1)^n * cos(npi - pi*sqrt(n² + n)) true or false

velvet heart
#

,w lim_{n to infty} cos(pisqrt(n² + n)) = lim_{n to infty} (-1)^n * cos(npi - pi*sqrt(n² + n)) true or false

icy grove
# clever fjord

i think the coefficient of pi and the n in the function are not the same

clever fjordBOT
icy grove
#

<@&286206848099549185>

odd edgeBOT
#

@icy grove Has your question been resolved?

autumn bolt
#

we cant find out the value of trigonometric functions in infinity

#

(EXCEPT when it approaches some value)

#

but it oscillates here

odd edgeBOT
#
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onyx sky
#

hello

odd edgeBOT
mystic saffron
#

hi

onyx sky
#

can someone help me solve this? im stuck on it

#

<@&286206848099549185>

chilly narwhal
onyx sky
#

its cause i took this lesson months ago

#

and missed something and now i have to solve this thing and i forgot a bunch of stuff

#

do you know what x and y are here

chilly narwhal
onyx sky
chilly narwhal
onyx sky
#

what?

chilly narwhal
onyx sky
#

how can i do that

chilly narwhal
chilly narwhal
chilly narwhal
onyx sky
#

is x=9

chilly narwhal
onyx sky
#

thats what i came at with

chilly narwhal
#

could you show your working

onyx sky
chilly narwhal
onyx sky
#

oh yes

#

so is this correct

chilly narwhal
onyx sky
#

so x is 6.71?

chilly narwhal
#

do they allow that?

onyx sky
#

yes

chilly narwhal