help-30

[honest meadow]

So the new expression is...

Check the sign on u^2

u^2-2u^2

[hollow oracle]

now the pq?

oh

[honest meadow]

You need fix that sign first

Yes, now you can factorise this

You could even multiply everything by -1 to make it even simpler

[hollow oracle]

ok

[honest meadow]

So remember that 1 doesn't have a u

You need to do the pq thing you mentioned

,,u^2-2u+1=0

[normal pelican]

Social Capital Gainer

[honest meadow]

Again, 1 doesn't have a u

How do you factor a quadratic?

[hollow oracle]

I can't do that?

[honest meadow]

You can factor this

What two numbers add to make -2 and multiply to make 1

Try -1 and -1

[hollow oracle]

so

[honest meadow]

Try -1 and -1, do they multiply to give 1 and add to give -2?

What did you do here?

[hollow oracle]

U=1

[honest meadow]

Yeah, thats the solution, are rhere any others?

[hollow oracle]

no

[honest meadow]

How do you know?

Yeah but they way to show it is by factoring that quadratic like this

,,u^2-2u+1=0

[normal pelican]

Social Capital Gainer

[honest meadow]

,,(u-1)(u-1)=0

[normal pelican]

Social Capital Gainer

[honest meadow]

So u can only equal 1

Is that something you've seen before?

[hollow oracle]

no

[honest meadow]

Yeah, but we don't even have tl try solutions at this point

[honest meadow]

Ok, so definitely speak to your teacher about getting some more information on quadratics in general as the content you are doing right now will need quadratics quite often

I would look up the khanacademy page on quadratics too and watch those videos as quadratics are a very important topic that you will want to look at a bit more

Anyway, the solution is u=1

[hollow oracle]

thx man

[honest meadow]

This means for u=1, the line will touch the sphere only once

No problem at all, I hope it was useful

[hollow oracle]

at the beginning of the task i guessed the solution and was right, but i need the calculation method

[hollow oracle]

yes its was very useful

[honest meadow]

Nice,.well that was a good guess anyway, but knowing how to get the answer is infinitely nicer hehe

[hollow oracle]

yes

[honest meadow]

I hope so too, definitely try and fit in as much practice as you can and ask around on this server for assistance, but you can see that discord is kinda slow for conveying this, if you can get some assistance from school that would be much more efficient I think

Like from classmates or teachers

[hollow oracle]

If I dont pass I wont be able to start my aviations engieering class in august at the university.

[honest meadow]

Ooh, well I wish you the best of luck and definitely ask around if you need anything.

[hollow oracle]

thank you, you saved my life

[honest meadow]

But definitely revise quadratics and factorising

[hollow oracle]

Yes I will do

[honest meadow]

No problem at all!

Nice

[hollow oracle]

because of covid I havent math for 1 year

[honest meadow]

Oh, I'm sorry to hear that

But look, sometimes things don't always happen immediately and unexpected things like covid can set us back, but you will get to where you want to go in life eventually, it might just follow a route you weren't expecting

[hollow oracle]

where are you from?

[honest meadow]

I kinda avoid sharing info, this is a very public server hehe

[hollow oracle]

yeah thx you too

[honest meadow]

Cool, that's nice

But anyways, very best of luck with what you've got coming up, things seem to have been tricky so far with covid and everything, but you're doing really good, just try your best to fill in any gaps you feel you have

[hollow oracle]

yes I will

[honest meadow]

Nice, well unless there's anything else, I might head off rn

I'll see ya later then

[honest meadow]

And feel free to ask around the server for the time being if you need anything

[static knot]

@hollow oracle Has your question been resolved?

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[static knot]

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[quiet copper]

i need help factoring

[quiet copper]

This

I did everything else

Thanks?

Yo anyone ?

.close

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[quiet copper]

Huh

Bruhh

.reopen

[static knot]

✅

[quiet copper]

Tell me

Tgen

I did

Its how i was taught

Ya

So

O

Mb

Wait

So like its not wrong?

It is -9

-9x^2

Bro

Thats my writing

Happy

+9

[zinc crypt]

nine

[quiet copper]

Its vertex form

-4(x-7)^2+9

Ya

So

?

No

I switched it to standard form

Making it

-9x^2+56x-196+9

Why?

Holy shit

Im dub

Dumb

💀🔫

O

I thought u meant my writing

Was bad

🤣

K

@zinc crypt

This right?

I did

4(-4)(187)?

Its not a bracket

How?

Does the negative carru down from c

Shit

Ya i ask questions too much

The right answer is 2992

Right

For 4(-4)(-187)

@zinc crypt

😞

wait

what did i do wrong

what sqrt

sqaure ?

@zinc crypt

boggggggggggggggggggggggggggggggggggggggggg

]

[rose depot]

You made the sqrt disappear

[quiet copper]

whats that

[rose depot]

Sqrt = square root

[quiet copper]

so i sqrt 144

[rose depot]

Yes, because the sqrt is part of the formula, you can’t just remove it for no reason

[quiet copper]

Like this

[rose depot]

Yes, but that’s still not the final answer

[quiet copper]

BOOOOOMMMMM

[rose depot]

Nope

[quiet copper]

ik ik

-54.5

[rose depot]

Not sure where those numbers are coming from

[rose depot]

Still no

[quiet copper]

huhhh

[rose depot]

It means you calculated it wrong

[quiet copper]

Holy crap plz tell me this is right

@rose depot

Or

@zinc crypt

[rose depot]

Is that 5.5 and 8.5?

[quiet copper]

yes

[rose depot]

It’s good

[quiet copper]

rlly

now i gotta factor this

@rose depot or @zinc crypt

factor

[rose depot]

Then factor it

[quiet copper]

how would i do it

[rose depot]

And stop pinging people

[quiet copper]

sorry

how tho

[rose depot]

Whatever method you want to use

[quiet copper]

product and sum?

[quiet copper]

not sure the methods

Is taht factoring?

[rose depot]

Sure, that's a way to do it

[quiet copper]

really?

actually i need to do this right

[rose depot]

You can

[quiet copper]

is there any other way?

[rose depot]

Factor -4x^2 + 56x - 187 using whatever method you want

[quiet copper]

hooowww

[rose depot]

using whatever method you want

Use your notes

[quiet copper]

Ok

So like

I tried

But there is so proper

Value

For x and y

anyone???

Bogggg

i will ping

HELPPPPP

@zinc crypt @rose depot sorry

but i need hel[p

.close

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[grizzled jacinth]

Hi, A rectangular field is to be fenced off along the bank river where no fence is required along the bank. If the material for the fence costs 60 pesos per running foot for the two ends and 90 pesos per running foot for the side parallel to the river. , find the dimensions of the field of largest possible area that can be enclosed with 27,000 pesos worth of fence.

[grizzled jacinth]

WAIT OH NVM I GOT IT IM SO ILLITERATE

.close

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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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[zinc crypt]

I know parentheses like (3+3) * 2, but what is this [(3+3) * 2]. what does [] means in math

[frank thunder]

its a parenthesis as well - square bracket

[zinc crypt]

so its the same meaning in order of operations PEMDAS right ?

[frank thunder]

yeah, typically it is used after () and {} I believe

[zinc crypt]

.close

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• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
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[mellow grotto]

Below is the graph of the function: f(x)=0.25x^3+6x^2 with 0<x<30. Also drawn is the line y=-27x. Using differentiation, calculate the x-coordinate of the vertex of the graph of f on the interval [0.30].

[plucky kiln]

what are you stuck with

[mellow grotto]

I don’t really understand how to calculate the vertex

O wait here’s the graph btw

[plucky kiln]

do you know how to differentiate?

[plucky kiln]

also yes this would help

[mellow grotto]

It’s loading

[plucky kiln]

^

[mellow grotto]

Oh yes

[plucky kiln]

what does differentiating give you?

[mellow grotto]

This

[plucky kiln]

ok good

and what does this function do

what does it calculate

[mellow grotto]

The slope?

[plucky kiln]

yup

and so at a vertex, what is the gradient

[mellow grotto]

Idk

Do I have to get that from the graph

Or do I need to calculate that with my graphic calculator

[plucky kiln]

For any turning point the gradient is ?

[mellow grotto]

0

[plucky kiln]

Yes

So you want to find when the derivative is 0

[mellow grotto]

I’m Dutch so didn’t understand what gradient was for a sec sorry

[mellow grotto]

But where is that?

[plucky kiln]

Wdym?

[mellow grotto]

What is a derivative

[plucky kiln]

its the gradient function

[mellow grotto]

Oh yes

But isn’t that when x=0?

So the derivative is f’(x)= -0,75x^2+12x

[plucky kiln]

Yes

Solve for x

[mellow grotto]

Ok

X=16

And X=0

@plucky kiln

[plucky kiln]

indeed

now look at your graph

[mellow grotto]

Yes

[plucky kiln]

look at which vertex your trying to find

what is it's x coordinate

[mellow grotto]

8

8.0000025

[plucky kiln]

8?

now

it's either 0 or 16

you just calculated it

[mellow grotto]

Isn’t that the vertex?

O nvm

You mean the picture

16

It’s 16

@plucky kiln

[plucky kiln]

your calculator is showing the vertex of the gradient function

you are trying to find vertex of your original graph

[mellow grotto]

Yes I’m getting dizzy

[plucky kiln]

its ok

[plucky kiln]

yes this is correct

now your question asks the coordinates

so how do you find the y coordinate

[mellow grotto]

Filling x=16 in

The original function

[plucky kiln]

yup

so do that and then you have your coordinate

[mellow grotto]

You’re good at this

[plucky kiln]

Thanks!

[mellow grotto]

I’m getting 512

Wich should be correct

I have one more question

It’s about the same graph

[plucky kiln]

Ok

[mellow grotto]

Use the derivative and calculate for which value of x the slope of the graph of f is equal to the slope of the line y= -27x

[plucky kiln]

Can you tell me the slope of y=-27x

[mellow grotto]

Idk does it have one?

-27

[plucky kiln]

Yes

That is correct

So you want to find when the derivative of f(x) = -27

[mellow grotto]

So you -27 for x in the formula?

[plucky kiln]

No

[mellow grotto]

Do you need to find the crosspoint?

[plucky kiln]

Earlier the derivative was = 0 to find vertex because the gradient was 0

[mellow grotto]

Yes

[plucky kiln]

Now you want to set derivative to -27 to find when the gradient is -27

You are trying to find the values of x which give that gradient

[mellow grotto]

11.99

[plucky kiln]

That isn't quite correct

Look at your graph

At x=12 is the gradient same as the straight line?

[mellow grotto]

Is this right

[plucky kiln]

What is the blue curve?

[plucky kiln]

Again that's the derivative

[mellow grotto]

Oh I need the original

[plucky kiln]

You want to find when that is equal to -27

[plucky kiln]

No

I've given you all the information you need now

Unfortunately I have to go now. If you need help, wait 15 mins before pinging helpers

[mellow grotto]

X or y

Last one

[mellow grotto]

.

Nvm I got it tnx for your help

.close

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[static knot]

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[obtuse ginkgo]

I took the trivial map for both

Are those counter examples ok

[zinc crypt]

sure

[obtuse ginkgo]

thanks

.close

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[weak garnet]

how do we solve this?

[zinc crypt]

I guess you have to set up a markov chain then find the eigen vectors

[weak garnet]

yep

not sure what the correct markov chain setup would be

lol Toby is my guardian angel

[zinc crypt]

I guess you would make a 3x3 matrix then maybe make each (i,j)th entry the amount station i captures from station j

[static knot]

@weak garnet Has your question been resolved?

[weak garnet]

as in amount you mean 1,2,3?

[zinc crypt]

like 20%

[weak garnet]

I'm confused cuz there is initial

oh wai

nvm

yeah so I have the initial

so I need to set up the other matrix

[weak garnet]

then what is captures?

isn't captures %

[zinc crypt]

I dont think the initial vector matters

[weak garnet]

oh...

[zinc crypt]

,w eigen vector of ((.60,.20,.30),(.20,.70,.20),(.20,.10,.50))

[normal pelican]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Toby#2275

[zinc crypt]

it's this matrix I think ^

[weak garnet]

hmm ic

then we use v1 right?

[zinc crypt]

yeah

[weak garnet]

our prof actually decided to skip eigenvectors cuz of no time

[zinc crypt]

well you need to normalise it first

[weak garnet]

okay thanks

I actually saw eigenvectors for the first time today

and used v1 so yeah...

[weak garnet]

oh yep

rref right?

[zinc crypt]

basically, an eigen vector v of M is a vector such that $vM=ev$ where e is a number (the eigenvalue)

[normal pelican]

Toby

[zinc crypt]

divide by a number so that the sum of all 3 numbers is 1

[weak garnet]

wait can't remember what I did with eigenvector today...

[zinc crypt]

because we are dealing with percentages, so they should all add up to 1

[weak garnet]

do you mean

normalize v1?

[zinc crypt]

yeah

[weak garnet]

ah okay

gotta multiply by 8/35

which would give me

13/35, 14/35, 8/35

[zinc crypt]

yup, perfect

[weak garnet]

so the answer would be 13/35?

cuz we are looking for station 1

[zinc crypt]

yeah, and then I think it asks for the largest integer% less than that

[weak garnet]

ah yes

so the answer would be 0?

lol wut

[zinc crypt]

as a percent

[weak garnet]

ig 0 right?

[zinc crypt]

37%

lol

[weak garnet]

wait

sorry

yep

gotta convert first

yayyyy

well this is kinda dejavu at this point but...

THANKS!

[teal mist]

아직도 안주무시네요;;;

[weak garnet]

ㅋㅋㅋㅋㅋㅋ 네...

[teal mist]

왜용... ㅠ

[weak garnet]

내일... 아니 오늘 기말이어서

ㅋㅋㅋㅋㅋㅋ큐ㅠㅠㅠㅠ

[teal mist]

아... ㄷㄷㄷ

잘하실거에요!

[weak garnet]

airtoastie님은 왜 안주무시에용

앗 감사합니다 ㅋㅋㅋㅋ

[teal mist]

저는 지금 한국에 잇지 않아요 ㅎㅎ

[weak garnet]

미국에 거주하는군요

아 네 ㅋㅋㅋ

[teal mist]

비슷하지만 캐나다여 ㅋㅋㅋ

[weak garnet]

아하

캐나다 좋죠

제 선배 한명이

다음 학기 교환 캐나다로 갑니당

tmi

[teal mist]

와우

지금 그럼 대학생이신가요?

[weak garnet]

넹!

[teal mist]

와 멋져요

[weak garnet]

airtoastie님은 고등학생인가요?

[teal mist]

넹

[weak garnet]

아 ㅋㅋㅋㅋ 감사합니당

열심히 공부해서

좋은 대학 가세요!!!

잘하실거라고 믿지만 ㅎㅎ

[teal mist]

감사합니담

[weak garnet]

한국 오실 예정인가요?

아니면 캐나다, 미국?

[teal mist]

네네

[weak garnet]

오 좋아요!!!

연대로 오세요 ㅎㅎ

[teal mist]

연세대요?

[weak garnet]

밥 사드리겠습니다

네네

[teal mist]

오우 밥까지는

실례죵

[weak garnet]

후배님으로 만나길

바랍니당 ㅎㅎ

[teal mist]

ㅋㅋㅋㅋㅋ

[weak garnet]

ㅋㅋㅋㅋㅋㅋㅋ

[teal mist]

교환학생으로

한국대학 가보고 싶긴해요

[weak garnet]

오

한번 오세여

[teal mist]

가능하면 100%

[weak garnet]

국제대는 영어로해서

문제 없을거에요

[weak garnet]

가능할거에요 ㅎㅎ

[teal mist]

😮

전 지금

[weak garnet]

ㅋㅋㅋㅋㅋㅋㅋㅋㅋ

[teal mist]

미분끝내지도 못해서

[weak garnet]

다들 우리 채팅하는거보고

궁금해할듯

[teal mist]

ㅋㅋㅋㅋㅋ

그러게요

[weak garnet]

ㅋㅋㅋㅋㅋㅋㅋ

[teal mist]

지금 현타가...

[weak garnet]

갑자기 한국어로 대화

[weak garnet]

어렵죠 ㅠㅠ

[teal mist]

갑분한 ㅋㅋㅋ

[weak garnet]

사실 대학교 1학년에도

미적분 다시 배워서

안심하세요 ㅋㅋㅋㅋ

근데

베이스가 탄탄해야지

나중에 고생 안합니당 ㅎㅎ

[teal mist]

그쵸그쵸

그럼 혹시 말 나온김에

[weak garnet]

네

[teal mist]

저 문제 하나 도와주실수 있으세요?

[weak garnet]

앜 ㅋㅋㅋㅋㅋㅋㅋ

엄 그러게요...

[teal mist]

쉬울거세욬ㅋㅋㅋ

[weak garnet]

제가 도와줄수 있을지

[weak garnet]

아 ㅎㅎ

혹시

몇학년이세요 ㅋㅋㅋ

[teal mist]

11학년이에요

[weak garnet]

아 ㅇㅋㅇㅋ

잠시만요

[teal mist]

넹

[teal mist]

오홋?

[weak garnet]

먼저 ln10나오고

그 chain rule 때문에

derive x^2 -1

[teal mist]

f'(g(x)) * g'(x)!!

[weak garnet]

그리고 또 chain rule

넹넹 ㅎㅎ

그렇게 해서

계산 실수만 안하면

[weak garnet]

이게 나올겁니다

[teal mist]

근데 ln(10) 은 어떻게 나오나용

[zinc crypt]

lol yw

[weak garnet]

.close

[static knot]

Channel closed

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[weak garnet]

@teal mist 연대 서버 들어오세요!

disboard에 검색하면 나올거에요!

[teal mist]

저가 감히 들어가도 될까요...?

[weak garnet]

우리 둘다 친구 요청을 막아나서 ㅋㅋ큐ㅠㅠㅠ

ㅋㅋㅋㅋㅋㅋ 당연하죠~~