#help-0

1 messages · Page 855 of 1

ocean sealBOT
glass lichen
#

$\text{det}(AA^{-1})=\text{det}(I)$

ocean sealBOT
alpine sable
#

yep

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makes sense

glass lichen
#

so $det(A)det(A^{-1})=1$

ocean sealBOT
vast ore
#

yo mosh

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do u actually enjoy math or do u find it simple

#

like wat keeps u going

glass lichen
#

I enjoy it.

vast ore
#

were complete opposties then lol

glass lichen
#

k

alpine sable
#

ok lost again

glass lichen
#

I applied properties of det and the fact det(I)=1

alpine sable
#

is det(AA^-1) = det(A)det(A^-1)

glass lichen
#

yes.

alpine sable
#

okay, makes sense

glass lichen
#

det(AB)=det(A)det(B).

alpine sable
#

alright

#

so could you say that the identity matrix is just the matrix form of the number 1?

glass lichen
#

I suppose so...?

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1 is the multiplicative identity element of most fields

alpine sable
#

alright

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what's the next step from here?

glass lichen
#

high school algebra to get det(A).

alpine sable
#

lucky im in high school

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hahaha

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1/det(A^-1)

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= det(A)

#

yes?

glass lichen
#

yes.

alpine sable
#

is that finished now?

glass lichen
#

yes.

alpine sable
#

damn

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okay thanks

#

im just a bit confused, it seems alot simpler than the worked solution on the website i used for the question

#

they did it like this

glass lichen
#

yeah that works too

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if you never learned the det properties, that's how you should do it

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but I wasnt going to tex/write out the computation for the RHS

alpine sable
#

that makes alot of sense now that you helped me work it out

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thanks

#

the transition to starting linear algebra has been so confusing for me though

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god i hate matrices

white osprey
#

lim as x approaches infinity of the function:

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should be 2x right?

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but the anwser key says it is 2x-1

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(1/x) --> 0

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so you are left with 4x/2

devout summit
#

Wait what!? How is the answer in terms of x

white osprey
#

ohh

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we are finding

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asymptotes

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as x --> infinity my bad

alpine sable
#

should be -0.5

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i think

white osprey
#

nono pretend this is a function and we want to find the asymptote

alpine sable
#

yeah and when x = -0.5 it should be undefined

white osprey
#

as x --> infinity

alpine sable
#

as the bottom = 0

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right?

devout summit
alpine sable
#

therefore you have a vertical asymptote at x = -1/2

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i may be wrong

white osprey
#

here is what i mean

alpine sable
#

ohhh

white osprey
#

2x-1 is black line

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but why

glass lichen
#

The phrase is "asymptotics"

white osprey
#

ok tnx

white osprey
devout summit
#

Oh now it makes sense

glass lichen
#

or oblique asymptote for non horizontal/vertical lines

#

but basically $\frac{4x^2}{2x+1}$ then do the long division

ocean sealBOT
raw shard
#

oof long division

alpine sable
#

long division is cringe

raw shard
#

i hate long division

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so much

buoyant kayak
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it's easy if you know how to do it lmao

white osprey
#

yeah i see that u can do long division but as x--> infinity, shouldn't this be 2x?

raw shard
#

i don’t know how lol

glass lichen
#

you get something like $2x-1+\frac{k}{2x+1}$ which goes to $2x-1$ for large x

raw shard
#

i find it hard

ocean sealBOT
raw shard
#

and confusing

white osprey
# ocean seal **Mosh**

yeye i get long division but i just dont see how the function above is not 2x as (1/x) --> 0

glass lichen
alpine sable
#

when we first learnt it when i was like 14 it just never stuck

white osprey
glass lichen
#

cause in the limit 2x and 2x-1 "are the same"

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nope

alpine sable
#

had to revise it for a couple hours the other day cus of finding roots of a cubic

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sooo annoying

glass lichen
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if you did the limit you'd get inf

white osprey
#

hmm interesting. ok thanks! yeah i guess I can see the limits are the same

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annoyinnggg. ok thanks a lot!

raw shard
#

hey mosh, do people ever use long division to simplify integrals?

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i would assume yes

glass lichen
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yep

raw shard
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darn

glass lichen
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cause you get polynomial + rational

raw shard
#

gotta learn this dumb thing

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although it is useful i will admit lol

glass lichen
#

which is quite easy to integrate up to the rational term, but that's either logarithmic or inverse trig catshrug

alpine sable
#

what is the use of inverse trig? @glass lichen

glass lichen
#

to undo trig

raw shard
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to find the angle

alpine sable
#

im the smartest here

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i mean reciprocal

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sorry

#

@glass lichen

raw shard
#

bruh

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stop pinging

alpine sable
#

just @ me not mosh

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im smarter then him

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my brain is fried rn 😵

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wt ur question

raw shard
#

just some other trig function

alpine sable
#

what is reciprocal trig used for

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quantum be quiet ur not smart

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does it have any applications

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its used to obtain graphs of the secant, cosecant, and cotangent functions

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so easy

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is that ever useful in like

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engineering

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take the reciprocal by both sides

glass lichen
#

Like historically they were used a lot with things like haversine, chord, excosecant

alpine sable
#

dude watch your damn mouth

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im teaching you

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LOL

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my bad boss

alpine sable
glass lichen
#

Nah

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anyway

alpine sable
#

hey top

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u seem bored

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wanna help me study for a bit?

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yes

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as long as mosh leaves

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and quantum

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sweet

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it will stroke ur ego

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yeah im smarter then them

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cus im 16 struggling with precalc and starter linear algebra

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linear is so easy

glass lichen
#

Like there are "dumb" reasons to use sec/csc/cot example you'd use sec to find hypotenuse more easily

alpine sable
#

u can flex ur math guns

glass lichen
#

dont care

alpine sable
#

let me teach him

glass lichen
#

didnt ask

alpine sable
#

😕

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guys be happy

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im going to report you to the moderators mosh

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goddamn mathmetician egos

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he chose me to teach him not you

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i cant wait until i get good st math

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so i can do this to people

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its ok you can start now

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i am bad at math but im smarter then mosh and quantum

devout summit
#

Why don't you dm each other?

white osprey
alpine sable
#

i can laugh at 14 year olds when they cant handle basic trig

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totally badass

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i could own so many little kiddies

glass lichen
alpine sable
#

im way smarter then you at math trust me

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ask me any question

glass lichen
#

what's 3n+1?

white osprey
alpine sable
glass lichen
#

(btw channel is free if anyone's wondering)

alpine sable
alpine sable
#

ITS FOR PIKEFISH

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true

#

my channel

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might as well rename it

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well

#

harder question please

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ok holdo n

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im pooping rn

glass lichen
#

"harder than 3n+1" ok kid

alpine sable
#

boutta flush

alpine sable
#

im not doin all dat

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3n+1 = 4 if n = 1

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and i am probably older then you

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did u know?

#

with ur anime pfp

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who needs help

#

@remote siloe

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im the smartest in this entire premises

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just flushed my poo

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i do

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what do u need

glass lichen
#

@alpine sable

alpine sable
#

as long as mosh and quantum are gone im good

glass lichen
#

actual question for you to solve.

alpine sable
#

thats so easy

#

thats easy lol

#

i couldnt be bothered to solve it thats how easy it is

glass lichen
#

It is pretty easy, takes like 3 or 4 lines

alpine sable
#

it'll take me 1 try

glass lichen
#

ok, ill wait

alpine sable
#

hah

#

solving it rn

#

im too busy to add symbols so

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a0Id+a1B+a2B2 +...+anBn2.

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harder next time?

#

top

#

what do u major

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everything

#

so true

#

do u do engineering or do you like being poor

#

im a master at anything you can think of

#

what about farting while twerking

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(on cam)

#

yeah i can do that easily

#

@glass lichen is quiet

alpine sable
#

i solved its pathetic problem

alpine sable
glass lichen
#

You didn't

#

But aight

alpine sable
#

a0Id+a1B+a2B2 +...+anBn2.

glass lichen
alpine sable
#

i dont feel like smyboling

#

ur quiet mosh

alpine sable
#

i solved ur pathetic problem

#

NEXT.

#

ill gurantee you im the smartest

#

here

#

mosh just got totally owned

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yep

#

does this mean im good at math

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or just that im a loser

#

man your such a loser

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thats so easy

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this channel is taken rn sorry dude

#

i hate people with no intelligence

tiny crown
#

get out if you're not helpful

alpine sable
#

i've been helping multiple people

#

no1's a troll im helping pik and mosh

sly mantle
#

chill y'all

glass lichen
#

You're not helping anyone

alpine sable
#

" moderators trolls 🤓 😢 "

lapis hedge
#

Can we get a dunning-kruger role for these kinds?

alpine sable
#

@alpine sable can u plz help wit hthis

#

sure

#

what does it even mean

sly mantle
#

@alpine sable keep up the aggravating behavior & you're out

wild stump
#

go to math help discord
wait for someone to post a question
call them stupid

alpine sable
#

i need someone to match my intelligence thats all

#

i've been searching for a while

#

i apologize

#

top

#

help

#

sincerel

#

OK

#

im solving it rn

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what the hell does the question even mean

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hha

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hah*

#

its pretty easy actually

sly mantle
alpine sable
alpine sable
devout summit
#

How about you actually try and help?

alpine sable
#

@alpine sable pay attention to the last equation of the problem

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does that mean dilate it by 3 and rotate it 0.5 radian

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s

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ok can someone help\

devout summit
#

I suppose it looks something like this

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$T=\begin{bmatrix}
3\cos(1/2) & -3\sin(1/2)\
3\sin(1/2) & 3\cos(1/2)
\end{bmatrix}$

ocean sealBOT
#

Euclid31415

candid nova
#

need help on this question

craggy niche
#

hello o/

#

f'(x) = 3 so f'(-2) should be either 6 or 0 right?

civic jungle
#

Where'd you read f'(x) = 3 from that?

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was it in the (3, -4)?

devout summit
# candid nova

$8=(x\sqrt{7})^2+y^2\geq 2\sqrt{7}xy\implies xy\leq \frac{4}{\sqrt{7}}$

ocean sealBOT
#

Euclid31415

raw shard
#

@craggy niche tangent line is a straight line, and you have two pairs of coordinates on that line, so you can calculate the slope of the tangent line

#

aka the derivative at that point

craggy niche
#

the line of 2.-2 and 3,-4 right?

devout summit
raw shard
#

the points on that line

craggy niche
#

thank u ❤️

raw shard
#

no problem

unique peak
#

why did the 9 and the b^2 not become negative when transposed

civic jungle
#

$9=16-b^2\iff b^2+9=16\iff b^2=16-9$

ocean sealBOT
#

Icy001

candid nova
unique peak
vapid oak
#

@unique peak its + or minus sqrt{7}

raw shard
#

they know what they sent

civic jungle
#

@vapid oak what if a, b, c are side lengths of a right triangle in Minkowski space ;)

unique peak
unique peak
civic jungle
#

:)

modest dragon
#

how do i do that

civic jungle
#

u-substitution to turn the integrand into the derivative of arccosh x and

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profit

civic jungle
#

Have you seen the derivative of arccosh x?

alpine sable
#

What’s arccosh

modest dragon
#

i guess so, im practicing and remembering all this stuff

modest dragon
alpine sable
raw shard
#

cosh^-1

#

hyperbolic cosine

modest dragon
#

that has to be the answer

civic jungle
#

That looks like the alternative form of arccosh(sqrt(2)x)

modest dragon
#

Ohhh

candid nova
#

anyone know how to do this, i keep getting it wrong and im not sure if its because my derivative is wrong for this question

devout summit
modest dragon
civic jungle
#

Yeah, the definition of $\cosh x$ is $\frac 12(e^x+e^{-x})$

ocean sealBOT
#

Icy001

civic jungle
#

because there aren't complex numbers involved there, there is actually a way to get the inverse function of that using natural log

#

but it's pretty tricky

raw shard
#

sounds interesting

candid nova
#

Do u know what the derivative is supposed to be for this question for f(x,y)? @devout summit

fickle relic
#

help

candid nova
#

Yeah but do u know what the actual equation ends up being

#

I think I'm messing it up because everything is square rooted

devout summit
#

Let me write it out

candid nova
#

Thanks

hallow hinge
#

Having trouble with 17

restive cypress
#

use log

#

are you familiar with the properties of logarithms

raw shard
#

rewrite 256 in terms of 2^x

hallow hinge
#

Yeah I wanted to take the x root of both sides of the equation to solve for x

raw shard
#

log will work too

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but you have to rewrite sqrt2 as 2^0.5

hallow hinge
#

That gives me root 2 = the x root of 256

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I don’t know what log is

restive cypress
#

Okay

#

Can you rewrite the left hand size as a power?

raw shard
#

so rewrite sqrt2 and 256 in terms of 2^x

restive cypress
#

First think about what is square root 2 as a power?

devout summit
#

$\frac{df(x,y)}{dt}=\frac{xx'(t)+yy'(t)-\cos(\theta)(xy'(t)+yx'(t))}{\sqrt{x^2+y^2-2xy\cos(\theta)}}$

ocean sealBOT
#

Euclid31415

hallow hinge
#

Oh I get Wym now

#

Like how raising something to the -1 is the same as square rooting it

#

No that’s wrong

candid nova
fair rover
hallow hinge
#

There now what

candid nova
#

and just to clarify x'(t) and y'(t) are just Va and Vb in this case right? @devout summit

candid nova
#

alright

devout summit
#

But I think you have to put in negative values of those

#

Since x and y are decreasing

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df/dt should come out negative

devout summit
raw shard
#

nope

#

it’s none

#

wait

alpine sable
#

Help

alpine sable
#

bro

fair rover
alpine sable
#

I need help

fair rover
#

bro

hallow hinge
alpine sable
#

bruh

alpine sable
fair rover
#

bruh

hallow hinge
#

Do you see why that is

fair rover
#

you need help for that

#

you in 6th grade or something

#

😂

hallow hinge
#

Yo laslo can u help me

#

I’m bad at math

#

In question 1

raw shard
#

don’t give people answers

alpine sable
hallow hinge
#

If u don’t mind

alpine sable
#

im just not sure man

#

I know its 3rd since

#

everyday he do 10 minute

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and it stated that he do same minute everyday

#

so yeah

fair rover
#

im in 10th

alpine sable
#

just not sure

fair rover
#

geometry mad ez

#

i think i did good on my test today

alpine sable
#

geometry is hard I think

#

curves and stuff

fair rover
#

algebra is cool

#

i have a math sat prep class

#

bro

alpine sable
#

yes I love algebra

fair rover
#

im gna do so bad for the sat

alpine sable
alpine sable
#

hmm ok

modest wyvern
#

can someone help me with that

candid nova
alpine sable
#

bro u on 5th grade on smh? 💀

#

thats fucking ez asf man

raw shard
#

i forgot mode too lol

modest wyvern
#

can someone just help me :(

alpine sable
#

bro to find mean, mode, median

modest wyvern
#

pls help

alpine sable
#

you should have listened in class

modest wyvern
modest wyvern
alpine sable
#

ok

modest wyvern
#

its due in 7 mins

candid nova
#

oh nevermind it worked I accidentally had subtracted instead of added because there was 2 negatives @devout summit thanks

alpine sable
#

so 5,7,7,4,4,2,1

wheat prawn
alpine sable
wheat prawn
#

u just add all the numbers and divide them by how many of them are there

alpine sable
#

@modest wyvern its 5,7,7,4,4,2,1

modest wyvern
#

pls just help me

candid nova
#

i just need help on this last question for langrange

alpine sable
#

now make them in order

candid nova
modest wyvern
alpine sable
#

no

wheat prawn
#

for example 1,2,3,4 is = 10 but u divde by 4

alpine sable
#

make them in order

#

least to greatest

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and find median

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and add them and divide by 7

wheat prawn
#

which 1 meant median lmao

alpine sable
#

to find mean

wheat prawn
#

i cant even rmr

alpine sable
modest wyvern
candid nova
#

I tried this question like 10 different times but i cant seem to get it correct. I get 2y^2+y-2=0 as my equation after lagrange @devout summit

wheat prawn
#

@candid nova bro

#

there is like

#

10 ppl typing to help 1 guy

#

u blind?

#

channel busy

candid nova
#

oh mb i was talking to euclid

alpine sable
#

median is the median of it

wheat prawn
#

i thought u was those random dudes who post in every channel

candid nova
#

lol nah haha

#

he's been helping me for a while in this channel its just i was doing work so i only typed after finishing

alpine sable
#

@modest wyvern to find the mean

#

add of them them up

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and divide by 7

#

not always 7

#

divide by the quantity

#

of the numbers

candid nova
#

no worries im just on my last question

alpine sable
#

there are 7 numbers so add them up and divide by 7

#

thats the mean

candid nova
#

@devout summit is it alright if i dm you instead for this question

modest wyvern
#

can someone come up with a question with this graph

#

pls

#

its due in 1 min

#

<@&286206848099549185>

raw shard
#

functions?

wheat prawn
raw shard
#

put the 4 where the x is

#

yes

modest wyvern
raw shard
#

no problem

wheat prawn
modest wyvern
#

cant think of one

wheat prawn
#

then how am i supposed to know the question

modest wyvern
#

I need to make a problem sovling question that uses the graph

wheat prawn
#

idk even know what x and y represent

raw shard
#

x and y pretty much always represent the same thing

raven juniper
wheat prawn
raw shard
#

yes

raven juniper
wheat prawn
#

im having a brain fart on this question

#

can you see what mistake im making

raw shard
#

wait

wheat prawn
#

k

buoyant edge
raw shard
#

@raven juniper turn it into a sphere and a cylinder

modest wyvern
buoyant edge
#

Well there you go

raw shard
#

or whatever that other shape is called lol

honest solstice
raven juniper
wheat prawn
#

or is y hours?

modest wyvern
#

ok there are 30 batterys

buoyant edge
#

so there you go

modest wyvern
#

and I put them into a graph

#

each battery lasts for a certime time

modest wyvern
#

so like 5 batteries lasted 0-7 hours

modest wyvern
#

first colum

raven juniper
#

so i find the area of the cylinder and add the volume of the sphere?

modest wyvern
#

@wheat prawn

#

@wheat prawn

modest wyvern
honest solstice
raven juniper
#

ye

raven juniper
#

so 113.1+113.1 which is 226.2

#

?

wheat prawn
honest solstice
raven juniper
honest solstice
#

yw :]

raven juniper
#

o( ̄︶ ̄*)o

alpine sable
#

is it horizon or vertical

delicate mango
alpine sable
#

idk bro

#

is it this

delicate mango
#

oh wait

#

yea yea its vertical

#

my bad

alpine sable
#

ok

delicate mango
#

i miss see it with y axis lmao

alpine sable
#

lol ok

delicate mango
#

anyone can help me

#

this is what i got but now im stuck

alpine sable
#

LETS GO

alpine sable
#

im only 8th grade

#

😔

wheat prawn
#

@alpine sable u know log word problems?

#

nvm

#

LMAO

wheat prawn
#

right as u said grade 8

#

I went 😦

alpine sable
#

XD

#

what grade are u?

wheat prawn
#

12

wary stream
alpine sable
#

wow

alpine sable
wheat prawn
#

@wary stream can you help me understand what im doing wrong

#

I haveing brain fart

alpine sable
wary stream
#

So why did that screenshot say test?

wheat prawn
#

that was his test

wheat prawn
#

he didnt ask

#

about it

#

lol

alpine sable
#

yeah

wheat prawn
#

he just posted that

wary stream
#

,rotate

wheat prawn
#

@wary stream number 3

ocean sealBOT
wheat prawn
#

im confused on the per year compounded monthly part

#

idk what to put for n

#

12 or 1

#

and i dont get the right answer either way

wary stream
wheat prawn
#

i tried that

#

and i get wrong answer

#

i get -0.0064

wary stream
ocean sealBOT
#

dldh06

wheat prawn
#

its 1+0.12 not the fraction

delicate mango
wary stream
#

It's a fraction

delicate mango
#

1.01

wary stream
#

Therefore $$1 + \frac{0.12}{12} \neq \frac{1.12}{12}$$

ocean sealBOT
#

dldh06

wheat prawn
#

then the answer would be 1.52

#

but it says 18.3

wheat prawn
#

i think my other questions didnt have monthly thats why

#

it was yearly so i didnt know

wary stream
#

Monthly means n = 12

wheat prawn
#

well do we multiply the answer by 12 in the end?

#

or how did they get 18.3

delicate mango
wheat prawn
#

why tho

#

we alr put 12 as n

#

why we multiply by 12 at the end ?

delicate mango
#

the formula for this question is not ^nt, but ^t

#

because it ask you how many months would it take to get that amount of value

#

not how many years

delicate mango
# wary stream

this formula is used when it asks you 'how many years'

wheat prawn
#

?

#

OH

#

so when its anything else but years

#

no n on top?

wary stream
#

That's the general equation for compound interest

#

The n is part of it

wheat prawn
#

what if it was weeks would there be a n with t?

#

or days or anually/quarter

wary stream
wheat prawn
#

no i get that but im talking about by t

wary stream
#

Days, n = 365

#

You still need n

#

Because it's part of the formula

wheat prawn
#

im confused ryann just said there is no n by t?

delicate mango
# wheat prawn .

you should use the formula since its a compound interest in a year

#

with ^nt

glass nest
#

henlo, is there a channel here where i could ask question about rational functions?

delicate mango
#

but, you would get the value in terms of 'how many years'

#

so to convert to months, you have to multiply the ans with 12

wary stream
# delicate mango with ^nt

Not specifically for years, could be done with days hence n = 365 so it needs to be part of the equation

delicate mango
viscid harbor
#

how u do that

delicate mango
#

in our case right now, the q says its a year investment with compounds in months

wheat prawn
#

but in the end i multiply by 12 again

delicate mango
wheat prawn
#

because it wants it in months essentially ?

delicate mango
wheat prawn
#

so if it was weeks

#

i multiply by 52

#

in the end

delicate mango
wheat prawn
#

yea so in the end you multiply by it

delicate mango
delicate mango
wheat prawn
#

alr thanks

#

@delicate mango what was the question u posted?

spare hill
#

the problem itself is a really simple one i made up

#

but there is a step within it that i'm not sure which is correct, and idk what keywords to google for it

humble ruin
#

Anyone in grad school who'd like to try and figure out how my current research approach will be wrong id be very greatful

civic jungle
#

@humble ruin I think you applied the Leibniz rule incorrectly here

#

actually never mind

#

ddx = 0 yep

#

Wait you are just asking for someone to check if it's right...

#

There a bunch of ways to check yourself

#

For example, try calculating $d(f\omega)$ using the Leibniz rule directly and see if you get the same answer

ocean sealBOT
#

Icy001

harsh dock
#

The graph shows the career interests of the students at Linda's college. Suppose there are 900 students at the school. How many of the students want to be an athlete?

civic jungle
#

same with $d(\sigma\wedge\omega)$

ocean sealBOT
#

Icy001

harsh dock
#

help

snow pawn
#

My objective is to find all complex numbers satisfying this equation

#

so there is no argument

civic jungle
#

Small syntax issue

#

$|z|=4$ is a statement with an undeclared variable $z$, but ${z\in\bC\colon |z|=4}$ is indeed a circle with radius 4

ocean sealBOT
#

Icy001

civic jungle
#

we could even grant we know z is a complex number but it'd still be undeclared

snow pawn
#

hmm okay thanks bud ❤️

waxen spruce
#

Question

#

So

#

In the position function

#

s(t)=-16t^2+16t+32

#

"When does the diver hit the water"

#

You factor and get -1,2 as your time intervals

#

so the answer is two

#

but how can it have negative time interval?

#

what does that represent?

prime sparrow
#

Can someone pls tell me if I've solved these correctly? Just wanna make sure I'm not making any dumb mistakes

alpine sable
#

I don't have wolfram alpha pro and the thing I'm trying to figure out is exceeding standard computation time. Could some write this in?

#

Integrate[(n! p^n (1 - p)^(n - r))/(r! (n - r)!), {p, (r+1)/(n+1) - x, (r+1)/(n+1) + x}]

opal herald
opal herald
barren sinew
#

We do if x= this then u = that for the first 2. why was it not necessary to do in the last 2. How do I know when to do it and when to not? I'm noob in integrals. Help please

alpine sable
#

how well does everyone know truth tables?

#

I'm real fricking confused on my project because i triple checked everything and some how its all still wrong

hollow elm
#

Guys

#

I'm in High school, If study logic, will it be benficial? Will I benefit from it?

#

Like will it help me with Math? Will I use it?

#

When do I need to study logic? And why do people study it? Is it really useful or applicable?

barren sinew
#

channel already booked bro

sleek perch
solemn bloom
#

how do you apply the 6 circular functions (e.g., cos, sin, tan, sec, csc, cot) in real life ?

oak pawn
#

how is the imaginary number of 7, 5 and the real one is 3

cedar topaz
#

How do i find the exact value of sin θ or cos θ if θ is in standard position?

placid zinc
#

You generally can't.

humble ruin
half oak
#

Howdy! I was wondering how to figure out how the latitude of a launch affects the speed of a spacecraft. In the video they stated this but I have honestly no idea what to do with it

#

You are on a mission to rendezvous with the International Space Station (ISS), which is in orbit 400 km above the surface of the Earth, with an orbital inclination of 51 degrees. You are launching your spacecraft from Cape Canaveral, which is at a latitude of 28.5 degrees.

#

Well, I'm trying to figure out how to get the same result as the one shown in the course

#

Cape Canaveral (At least the latitude provided) is 28.5 degrees

#

I'm trying to figure out how to get the 4/10 stated in the subtitles

#

<@&268886789983436800>

sly mantle
#

b&

half oak
#

👍

proud crown
#

I am new on calculus, if we could prove that sqrt(2) is irrational by contradiction, how could we prove the rational number is rational? for instance sqrt(4), 4, 5 etc, do just need one example a/b a,b Z, or how to prove the right way

wispy olive
#

How is $(2^3x)/2 = 2^(3x-1)$?

ocean sealBOT
#

Manan.

wispy olive
#

Yessss.

tame falcon
#

Plug in any value of x to see why

wispy olive
#

Oh yes.

#

I am domb.

#

Mb.

#

It makes complete sense.

tame falcon
half oak
#

I'm still trying to figure out how to get 4/10 from a latitude of 28.5

#

Now what?

half oak
#

Nevermind, figured out how to solve it. Appreciate the help though, @alpine sable !

dreamy raft
#

hey guys I'm absolutely stuck on what the hell to do here

#

like I know this is here but I have absolutely no idea how to apply it, the prof barely went over this

dreamy raft
#

<@&286206848099549185>

#

so I've gotten this far but idk if I'm on the correct track or not

alpine sable
#

why the solution is 10^6 ??? can someone explain me why

small silo
#

How do I increase the thickness of the stems on a Barnsley fern?

#

?

#

😦

#

i am stupid russian c++ programmer

#

And I want to make a fern.

#

k ty

harsh swallow
#

it depends on how you draw the stems

small silo
#

I'm ashamed of my code

#

i have github with chess and tetris

harsh swallow
#

you're drawing using points?

small silo
#

setPixel

harsh swallow
#

you could say for every point instead of just setting the pixel at that point set the pixel at that point + the pixels left, right, above, and below it

#

there would be overlap in the pixels set

#

but unless it requires black to set the pixel i don't see a problem there

small silo
harsh swallow
#

is there any distinction between the leaves and the stem?

#

or are they all the same thing essentially?

small silo
#

idk

alpine sable
#

hi

small silo
#

hi

alpine sable
#

which program are you using to create the fern?

small silo
#

SFML C++

alpine sable
#

ah, too bad, I only know python, html, and a little css

alpine sable
#

huh

#

nice

harsh swallow
#

this is a botch but you could try to only let it make the first points big

#

guess when it is done with the stem

#

unless you mean all stems

#

then it wont work 😄

brisk falcon
harsh swallow
#

,rotate

ocean sealBOT
ionic sedge
#

Can i put my ti-84 calculator on insert by default instead of overlay?

delicate mango
tardy matrix
#

can someone help me with this?

#

find x if

harsh swallow
#

that makes no sense

#

3 1/10 != 5 9/10

tardy matrix
#

ikr

mighty grotto
#

Wait ima

#

Rewrite this

storm lava
#

oh, you deleted the photo, it is not impossible to factorize that 4th degree polynomial into 2 quadratics multiplied, and then dance from there

brisk falcon
#

and then

mighty grotto
#

i just wrote it

fierce frigate
#

can someone heelp with number 1 a? i dont understaand theee question

brisk falcon
#

The doctor wants to prove that the relationship is correct

fathom rain
#

"Tree A is 152 years older than tree B. After 25 years, tree A will be triple the age of tree B. How old is tree B?"

#

Got this question in the test today and I did a+152+25=3a

#

But I don't think it was right

hardy gulch
#

the difference between their ages will always be the same

fierce frigate
#

huh

hardy gulch
fierce frigate
#

wht square

ocean sealBOT
hardy gulch
ocean sealBOT
fierce frigate
#

k???

#

why did someeone told me its axis = -b/2a

fierce frigate
#

i aam so confused rn

hardy gulch
#

oh you're being taught that way

#

then

#

yes

#

axis is -b/2a

#

then substitute that into the equation to get the y-value of the turning point

fierce frigate
#

heh

#

i got 1??

#

--2/2

#

which is 1

hardy gulch
#

mhm

#

then

#

so your axis of symmetry is x = 1

#

so how would you find the turning point

#

how would you find the coordinates

fierce frigate
#

just like that??

fierce frigate
#

ik how to do the b ojne

#

i was confused with the question 1

#

aa

hardy gulch
#

can you find the coordinates where it's the turning point first

#

when x = 1, y = ?

hardy gulch
fierce frigate
#

wait

hardy gulch
fierce frigate
#

are wee lookingg for yy

hardy gulch
#

yes we are looking for y

fierce frigate
#

or re we looking for wht

#

huh

#

oh

#

0

hardy gulch
#

when you are writing down a point, it looks like (x,y)

fierce frigate
#

1,0

#

(1,0)

hardy gulch
#

er

#

how did you get 0

#

lo

#

l

fierce frigate
#

1-2+2 = its 1

hardy gulch
#

ye

#

so your turning point is (1,1)

fierce frigate
#

i wasnt focusing cuse i was doing naother thin

#

doing the qwuestion

hardy gulch
#

and your axis of symmetry is x = 1

fierce frigate
#

what?

#

why

hardy gulch
#

what do you mean why

fierce frigate
#

x^2 - 2x + 2

hardy gulch
#

uh huh

fierce frigate
#

-b/2a

#

i m so confused rn

hardy gulch
#

x = -b/2a

#

axis of symmetry is a line

#

you are describing a line

#

so you need the x =

fierce frigate
#

--2/2x1

#

ah yyes

#

its 1

#

still

#

the same

hardy gulch
#

1 is just a number

#

it could be either on the x (horizontal) or the y (vertical) axis

#

you have to specify which one

#

so in this case it's x = 1

fierce frigate
#

thx btw

#

ill do my questions now, thx... byyeee

hardy gulch
#

,tex
\begin{tikzpicture}
\draw[help lines] (0,0) grid (5,5);
\draw[->] (0,0) -- (5,0) node[right] {(x)};
\draw[->] (0,0) -- (0,5) node[above] {(y)};
\draw[dashed] (1,0) -- (1,5) node[midway, right] {(x = 1)};
\end{tikzpicture}

ocean sealBOT
fierce frigate
#

the answer key says the y is 0

#

but why??

#

-1^2 is 1

#

waait

fickle latch
#

mhm

#

1 - 4*(-1) -5 is

fierce frigate
#

ok

#

so

#

huh

#

how is that possible

#

i plaaced in my calculator

fickle latch
#

it do be like that sometimes

#

when in doubt

#

place more parentheses

fierce frigate
#

like

𝒚=1^𝟐−(𝟒x -) + −𝟓

#

it says -8

wary stream
fierce frigate
wary stream
fickle latch
#

morre parenthesesee

fierce frigate
#

wat

fickle latch
#

(-1)^2 -4* (-1) -5

wary stream
#

And did you type 4 -1 or 4 * -1?

fierce frigate
#

-4 x -1

wary stream
#

Did you type exactly what corporation said?

hardy gulch
#

[(-1)^2 - 4(-1) - 5]

ocean sealBOT
hardy gulch
#

type this in

#

use the parentheses

fierce frigate
#

yea did thata

#

ok i did it wrong

#

thanks

wary stream
#

(-1)^2 - 4*(-1) - 5?

tiny minnow
#

Can some 1 help me?

autumn dock
tiny minnow
#

Hi

autumn dock
#

Mr/Ms.CH

tiny minnow
#

Mr

autumn dock
#

Anyway first let me ask you what's the meaning of absolute value?

tiny minnow
#

?

autumn dock
#

What absolute value do ? I mean.

#

Mr.@tiny minnow

tiny minnow
#

yeah?

#

I bad at English:/

autumn dock
#

Oh ok no problem

tiny minnow
#

u mean

#

i know

autumn dock
#

Can I ask you a personal question please.
Which languages do you know well I'll speak to that language ( using translator )

autumn dock
tiny minnow
#

I can speak

#

but not for special math language

fierce frigate
autumn dock
fierce frigate
#

a queestion said it is -x^2, what do i do with it if x = -6

autumn dock
tiny minnow
#

yep

autumn dock
#

Right?

fierce frigate
autumn dock
tiny minnow
fierce frigate
#

no

#

what i meant

#

is

autumn dock
#

Right?

fierce frigate
#

if i fill in the x with -6

wary stream
#

You type in $$-(-6)^2$$

ocean sealBOT
#

dldh06

fierce frigate
#

oh like that?

#

okok

#

thx

autumn dock
#

If the absolute value is negative or positive

tiny minnow
#

Both

autumn dock
#

So how will you do that?

autumn dock
tiny minnow
#

there 4

#
  • +, - - , + +, + -
autumn dock
#

Excellent

tiny minnow
#

i just hate to count

autumn dock
#

Yeah the question needs mood

#

So for getting all 4 available values what will you do?

#

Mr. @tiny minnow

unkempt umbra
#

does anyone know how to solve this limit when n-> inf?

alpine sable
#

factor them out

#

let me show

#

limit this, answer is 0

ocean sealBOT
#

junait

violet panther
#

Could someone help me with this?

#

I thought it will be looks like this, but my value for k is wrong

ionic sedge
alpine sable
#

the tangent at (3, 6) passes through the origin is like

#

the point 3, 6

#

and the point 0, 0

unkempt umbra
alpine sable
#

you connect them and find the curve at 3, 6

#

np man

#

so the slope at 3, 6 is

#

2

violet panther
#

So I have to sub in (3,6) to the f’(x)?

#

Not f(x) ?

alpine sable
#

f'(3) gives you 2

#

f(3) gives you 6

#

do you understand how I found 2