help-0

[sullen nova]

hell na

higher

[wary stream]

Do long division first

[wary stream]

Also wrong

[sullen nova]

I was testing him

[sudden tulip]

long divison ?

[wary stream]

Yes

[sudden tulip]

what divided with what

[wary stream]

What do you think?

[sudden tulip]

im really not sure

[wary stream]

Look at the problem given

[grizzled yacht]

forgot how to do this

need help

[queen wigeon]

what is the sum of all angles in a triangle?

[sudden tulip]

its late others can ask now , im too tired

[floral jungle]

anyone able to help with this?

[hollow canyon]

Sum of the angles in a triangle is 180 degrees, subtract 69 and 49 from 180, your equation should be 62 = 8x + 14

And you should be able to solve for x from there

[grizzled yacht]

is the answer 6?

or I did it wrong

[queen wigeon]

looks right to me

[hollow canyon]

Yep you got it

[grizzled yacht]

thank you

[wary stream]

Did you write choice A, in 5, wrong?

[wary stream]

Cross multiply

[sly mantle]

quiz, b&

[scarlet spire]

if we have
1/2 = x/4
what is x

[wary stream]

This is a simple example, right?

[scarlet spire]

yes

[grizzled yacht]

i got the answer

was 25

[alpine sable]

d?

[wary stream]

It does say that you can test it

So you can guess and "try" it

[alpine sable]

d?

[wary stream]

Use trig functions

[vivid pagoda]

do you know your trigonometric formulas?

[grizzled yacht]

yes

[vivid pagoda]

so you need to use the one containing the opposite and the adjacent side

[alpine sable]

@wary stream

is this a d c?

[wary stream]

Don't ping me

[alpine sable]

?

[glacial hedge]

its down followed by a dialation (shrink)

[eager ginkgo]

how could it be D and C

are you just guessing?

[alpine sable]

i've never done this before

that's why i'm asking for help

[tawny lion]

look at the unit circle

[alpine sable]

What

[tawny lion]

google "unit circle"

and you will have your answer

[tawny lion]

can you stop posting your questions without checking whether the channel is free or not

it takes 5 minutes to read the rules

[magic pine]

Hey can u help me with my work :3?

[alpine sable]

so it's a and b?

[wary stream]

You should look up on how to formulate trig ratios

[undone dock]

sin(x)= 4/8.6

[frosty ocean]

HELPP

HELPP

[tawny lion]

stfu

[undone dock]

And then just solve for x from there

[vivid pagoda]

please write your questions in a channel not currently occupied

[frosty ocean]

With rhis pls

[tawny lion]

let me get this straight

you are asking for help when already multiple people are posting their questions, then you post something untranslated with no context to the question, not specifying which out of the 9 problems you need help with

and what the fuck is that icon in the bottom right

[glacial hedge]

u dont know what ur talking about... d is correct

[shy vapor]

hi could someone help me with the transformations of this, the only thing that won't help us graph is saying horizontal stretch by a factor of 4

[tawny lion]

he said how can d and c be correct

[eager ginkgo]

I know D is right

[undone dock]

A is correct too I'm pretty sure

[tawny lion]

-4

and that's translation

[eager ginkgo]

d and c are two different positive angles so it is impossible for both to be right

[glacial hedge]

true, but i was responding to "how can c and d be correct"

[shy vapor]

ooh so the only thing that wont help is a vertical stretch of 4

[undone dock]

Yea

[tawny lion]

what do you mean by "won't help"

[shy vapor]

when graphing

i mean

is not a transformation of the

equation

[minor crypt]

hey

[tawny lion]

just memorize that image

[minor crypt]

memorize

there is a logic behind it

[pallid lance]

(A\B) = B\A is equivalent to A = B (in grouping)
anyone can explain why for me i can't understand it

[tawny lion]

no shit

?

[minor crypt]

multiply both sides by A, get B to the right side, take the square root

[shy vapor]

thx

[tawny lion]

no problem, feel free to ping if you have further questions

[pallid lance]

but thats a groups not just variables

[minor crypt]

oh sorry, no idea what groups are

[pallid lance]

okay np

[tawny lion]

wdym by groups?

[pallid lance]

for more clear image

[pallid lance]

like A {1, 5 , 7}

and so on

[minor crypt]

is that" " not division?

\

[tawny lion]

group theory?

[pallid lance]

no thats diffrence sign

[pallid lance]

yes

[tawny lion]

ah yeah i have no clue

i'm in high school lol

[glacial hedge]

what math classes u takin?

[pallid lance]

thank you guys anyway

[tawny lion]

well i just finished tenth grade

[minor crypt]

if the difference of A\B=B\A then that equals 0?

therefore A=B

with zero I mean the emprty group

[pallid lance]

hmmm make sense

[tawny lion]

not really sure abt the math class

[sly mantle]

did you try proving it

[pallid lance]

not really

i will try

[minor crypt]

I'm not a mathematician but I think you can easily prove it by induction

[sly mantle]

there's nothing to induct on

[shy vapor]

Lebron is riding a Ferris wheel. His situation can be modelled by the function h(t)=10cos[12(t)]+3, where h(t)is Lebron's height above the ground, in metres, and t is the time in seconds. How long does it take for Lebron to go around the Ferris wheel two times?

I got 120 seconds

[minor crypt]

Supposd A=/=B

The difference of A and B should be equal to a group C:
A\B=C

Since
A\B=B\A
(=)C=B\A

and noo I got stuck

seemed easier in my head I guess

[minor crypt]

what's the Ferris wheel's circumference?

[shy vapor]

this is a sinusoidal question

[minor crypt]

oh yeah true that shouldn't matter

[glacial hedge]

just solve for when

10cos(12t)+3=13

get the 4rth time that happens

*2ndf

[minor crypt]

I think you
1=10cos(12t)+3 find t1
-1=10cos(12t)+3 fint t2

t(half a spin)=t2-t1

t(two spins)=4 × t(half a spin)

is that correct?

[distant bay]

If that’s true then

Shouldn’t the time be

30 seconds

[shy vapor]

i got 120 tho🐼

[minor crypt]

@shy vapor share your calculations

you're probably right

[shy vapor]

kk

[distant bay]

No your wrong

[glacial hedge]

im pretty sure it should be irrational...

12t = 4pi

because 4 pi = 2 rotations

t=pi/3? but like 1.2 secodns is short

how do i paramaterize the shorter part of the sphere?

[alpine sable]

correct?

[glacial hedge]

@alpine sable where are you getting 150 from

that would be in the 2nd quadrant, and the angle is iin the 3rd quadrant

[minor crypt]

I was breaking my head until I realized it's two dimensional

[alpine sable]

a b

[glacial hedge]

??? are you just guessing now

its a and d

[alpine sable]

it's not c or d

how is it d

???

[glacial hedge]

the angle given is

30 degrees past -x axis

which is at 180 degress

so u get 210 deg

a is -360*n of that

[pallid lance]

i found that it means
if set A difference set B = set B difference set A
it means A = B

[alpine sable]

PLSS WHATS THIS

[glacial hedge]

you litterly wrote it...

[wary stream]

Use point slope formula

[queen wigeon]

remember that parallel lines have the same slope but different y intercepts

[minor crypt]

I thought we were that far already

[glacial hedge]

same slope just solve for b in y=mx+b

[pallid lance]

[minor crypt]

what do you study uni?

[pallid lance]

IT

information technology

[alpine sable]

ohhh lol

[minor crypt]

nice

[pallid lance]

thx wbu?

[minor crypt]

I graduate high school in 2 weeks, still have to make up my mind about what to study

[pallid lance]

ohhh congrats

[glacial hedge]

wait thats a study option??????

[ionic jewel]

yes

[glacial hedge]

gg

[pallid lance]

yes

[minor crypt]

my math teachers are kind of pushing me towards studying pure mathematics but that looks a bit terrifying

[glacial hedge]

do u like phys

[ionic jewel]

it's called something else at my school but year IT is legit

[ionic jewel]

I'd recommend not doing this, it has approximately 1 possible job (read: professor)

[glacial hedge]

xD

[minor crypt]

mehh.. I love elektromagnetism. I don't really like dynamics and stuff

[ionic jewel]

elektromagnetism what is this german

[glacial hedge]

@minor crypt u could go into applied math or idk electrical engineering?

[minor crypt]

hehe I'm dutch

[pallid lance]

i recommend study a thing relating to tech cause we on the tech era

[ionic jewel]

<@&268886789983436800> @thorny marsh is posting porn reactions on every message

[minor crypt]

@thorny marsh you're very childish

[minor crypt]

hmmmmm

I don't know how to program though

[sly mantle]

they left themself

[glacial hedge]

Sike we goin' back to the stone age babe!!! * Me secretly doing that tho

[pallid lance]

XDD

[minor crypt]

most people that go study IT usually already have a good grasp of at least Python

I have 0 programming background

[glacial hedge]

nope

[minor crypt]

so I'd be fucked

[glacial hedge]

you dont need any programming background

[night geyser]

they were trying to abuse leave-rejoin

[glacial hedge]

the people who already have some knowlege can skip 1 class

[night geyser]

if someone leaves suspiciously after doing something bad

theyre probably trying to evade

just ban

[heavy otter]

let's have a look

[glacial hedge]

ooh the owner involved now

[minor crypt]

@heavy otter he was reacting with a NSFW gif emote

[pallid lance]

yea i am actually good at programming and digital circuits
so thats why i go into IT

but kinda bad at math lol

[sly mantle]

was the react removed?

[glacial hedge]

oh wait... is that computer engineering?

[pallid lance]

it's just IT and we have lectures of programming and digital circuits actually 70% of the collage
but it's not engineering

[glacial hedge]

hmf, wonder why i havent heard of that sounds fun tho

[pallid lance]

yea i like it

it's also not hard at all if u know coding and a little digital circuits before

[glacial hedge]

lmao that sounds better than tryna get a double major in cs and ee

[pallid lance]

good luck btw

[minor crypt]

cs and ee pls?

im googling all those study fields :p

[pallid lance]

computer sciences and electircal engineering

[wary stream]

There is a major that's a combination, computer engineering

[wary stream]

Computer science and Electrical engineering

[glacial hedge]

yeah... thats what i thought IT was

[minor crypt]

computer science is lnly taught in English in my city :|

there's "Informatica" though

[glacial hedge]

idk, you seem like u know english tho...

[minor crypt]

hehe

I do, but uhmm

yeah I do

[wary stream]

Computer science was taught in Java, C++, python, etc, here in my city

[minor crypt]

true

this "Informatica" thing looks pretty promising

I just realised informatica is computer science

[alpine sable]

(a — b) + (c — d) = (a + c) + ( — b — d)

is this equal to

(((a + c) - b) - d)

[minor crypt]

yes

try it with some random integers to verify

[woeful ridge]

How would I start this question from the left hand side? I tried factoring the 1-tan^2x but now I’m stuck

There’s no trig identity to get rid of that 1-tan^2x

[glacial hedge]

ur still doing that?

[woeful ridge]

Didnt try yesterday gave up lol

But not looking for the answer just first step

[glacial hedge]

try turning the left side into somethign with sines and cosines

[woeful ridge]

That’s what I also tried but I think I got it wrong so when you

Turn a tan^2 into sin/cos are they both ^2?

[glacial hedge]

$2/(1-sin^2(x)/cos^2(x)$
$2cos^2(x)/(cos^2(x)-sin^2(x))$
$2cos^2(x)/cos(2x)$
$2(1-sin^2(x))/cos(2x)$
$(2-2sin^2(x))/cos(2x)$

whups solved it all the way xD

Ew thats gross

[woeful ridge]

I’m only reading the first line skekslslsls

[glacial hedge]

$2/(1-sin^2(x)/cos^2(x)$

$2cos^2(x)/(cos^2(x)-sin^2(x))$

$2cos^2(x)/cos(2x)$

$2(1-sin^2(x))/cos(2x)$

$(2-2sin^2(x))/cos(2x)$

[ocean seal]

Elonmosqito96

[woeful ridge]

Okay I had the first like done just didn’t do the rules for the next ones ugh, thanks

First line*

How could I forget when you divide a fraction you multiply the reciprocal Jesus Christ

[glacial hedge]

xD

[woeful ridge]

When the fractions are complicated, the basics are forgotten

[mellow canyon]

why when you complete the square do you only factor the first two terms instead of all of them

[wary stream]

Because the terms with the variables are the ones you are factoring from

[mellow canyon]

hmm ok, why does the term having var make you factor that and not the constant term?

i'm just confused on why the 160 does not get factored, it seems like a bunch of extra work. I suppose that there needs to be something to add the difference between your complete the square number and the original number, but you can always just add it to 0

so why do we only factor the variables @wary stream

[wary stream]

Because it's the ones that matters during completing the square

[alpine sable]

There's a specific reasoning behind it. When we have a difference between two terms squared, $(x - a)^2$, we get $x^2 - 2ax + a^2$. So, what we are trying to do is put the quadratic equation in this factored form $x^2 - 2ax + a^2$ to $(x - a)^2$.

[ocean seal]

Cicopath

Cicopath

Cicopath

[alpine sable]

The reasoning for the term c being moved out of the quadratic I can't explain in detail as I am also unsure of the reasoning, but this is one of the primary reasons we move it.

[mellow canyon]

oh yes yes thank you. that makes much more sense.so basically we want it in the form (x-a)^2, and to achieve that you need to only use the first two terms and deal with the third term seperately

[alpine sable]

Yes

[mellow canyon]

because otherwise the formula wouldn't work as cleanly

[alpine sable]

I think it's basically like using vertex form to turn it into a quadratic,

then basically doing those steps backwards to make it into a vertex from quadratic

[mellow canyon]

where'd you learn all this? I have a nice grasp on alg but this summer I've just been going through and trying to figure out how it works

[alpine sable]

I'll be honest, I completely forgot where I learned this LOL

I think it was recently in one of the online textbooks for homeschooling Alg 2

And learning (x - a)^2 = x^2 - 2ax + a^2

[mellow canyon]

I'm basically homeschooling but I'm in class and enrolled lol

[alpine sable]

OH THAT'S WHERE

It was from a Khan Academy video

[topaz copper]

help https://gyazo.com/5a2eb320c221cf05ce29c9bf51524cd9

[wary stream]

Better explanation than me. Just did complete the square enough times to just know what to do

[alpine sable]

Please, post it on only one channel. Thank you!

add -a to both sides?

"Two stars give off the same amount of light. However, from Earth their intensities differ. Let $L_1$ and $L_2$ be their intensities and let d1 and d2 be their respective distances from Earth. What is the ratio of $d_2$ to $d_1$?"

[ocean seal]

Cicopath

[alpine sable]

So, I solved for d in terms of L, $d = \sqrt{\frac{k}{L}}$. The original equation was $L = \frac{k}{d^2}$.

[alpine sable]

yes

[ocean seal]

Cicopath

[alpine sable]

Where do I begin?

[alpine sable]

could i do the same for this?

yaeh

[charred flint]

@alpine sable write d2/d1

you have sqrt(k/L_1) and sqrt(k/L_2)

[random crypt]

Can someone please help me at channel 2

[alpine sable]

So that would become $\frac{\sqrt{\frac{k}{L}}{\sqrt{\frac{k}{L}}}$

[ocean seal]

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

[alpine sable]

oh my

[glass lichen]

is this over R?

[alpine sable]

$d_2 / d_1 = \frac{\sqrt{\frac{k}{L}}}{\sqrt{\frac{k}{L}}}$

There we are

[alpine sable]

i don't know, it's just Basic Mathematics

[glass lichen]

You dont know what number system you're working in..?

[ocean seal]

Cicopath

[alpine sable]

i can't assume so

[pseudo summit]

Do a mathematical notation for oblique lines exist?

[alpine sable]

Is this correct?

@charred flint Sorry for ping, just wanted to check

[charred flint]

yea but it's L2 and L1

the d index has to match the L index in the formula

[alpine sable]

$d_2 / d_1 = \frac{\sqrt{\frac{k}{L_2}}}{\sqrt{\frac{k}{L_1}}}$

[charred flint]

then you can combine the square roots and fractions

[ocean seal]

Cicopath

[alpine sable]

You mean something like $\sqrt{\frac{\frac{k}{L_2}}{\frac{k}{L_1}}}$

[ocean seal]

Cicopath

[charred flint]

yup

then simplify and you're done

[alpine sable]

This is where I have a problem

How do I simplify it further?

wait

$\frac{k}{L_2} * \frac{L_1}{k}$

[ocean seal]

Cicopath

[alpine sable]

$\frac{kL_1}{kL_2} = \frac{L_1}{L_2}$

[ocean seal]

Cicopath

[alpine sable]

This correct?

[ionic jewel]

sure

[alpine sable]

Of course with the square root symbol

[ionic jewel]

you forgo

yes

the sqrt

[alpine sable]

Beautiful, thank you guys!

[shy vapor]

could someone explain what a critical interval is

[tawny lion]

critical points?

[ionic jewel]

you sure you don't mean confidence interval

or critical points

[shy vapor]

which one is for trig

3sin{15x-90degrees]+2

im tryna find it for this

equation and idk what it means

[shy vapor]

what r those

[ionic jewel]

it's where the derivative equals 0, or is undefined

[glass lichen]

Critical points are when f'=0, undifferentiable points, or endpoints

[gilded turret]

i have a really dumb question

but is y=sqrt x logirathmic?

or how would i describe that type of graph

its for a lab report and my results are like that

[glass lichen]

no

sqrt(x) is a power function

[gilded turret]

how do i describe the change

[tawny lion]

go on desmos.com

and graphit

[gilded turret]

ik

but like

in terms of words

as my x independent variable goes up

my y goes up ...

how do i descirbe it

[tawny lion]

what's the lab

about

i took chemistry, you can tell me

[gilded turret]

its a physics lab

[tawny lion]

ah

[gilded turret]

on uniform circular motion

but thats not the point

im just saying how would i describe it

y is my time x is length

as i change the length, the time goes up with the function y=sqrtx

[glacial hedge]

uhh

probably in terms of a derivative

[shy vapor]

could u help me find those cuz idk what they r lol

[ionic jewel]

step 1: take the derivative

[gilded turret]

this is what i have guys

[ionic jewel]

step 2: set equal to 0

why don't you name them l and t instead lol

[gilded turret]

i should do that but like

help me guys

with htpothesiss

[glacial hedge]

wait

[gilded turret]

i have my math done

[glacial hedge]

wait

[gilded turret]

ok

i just dont know how to coummincate it

[glacial hedge]

is this calc based phys

[gilded turret]

i guess?

[glacial hedge]

do you know calc

[gilded turret]

kinda

i dont wanna overcomplicate it

[ionic jewel]

maybe say "the length will be directly proportional to the square root of the time"

[gilded turret]

i just wanna explain what happens

[glacial hedge]

uhhh yeah progbably not calc based physics

[gilded turret]

thank you an actual answer for once

but i want to explain it in terms of time

since im changing lneght

it is predicted that as I change the length, the time it takes will be ....

ssomething lik ethat

[glacial hedge]

ugh how do i do a change of limits in a triple integral?

[ionic jewel]

can you not just say what I did, but backwards

the directly proportional thing

[gilded turret]

english is not my first or second language sorry how would i say that

i am very bad at english

[ionic jewel]

time is directly proportional to the square root of the length?

I'm not sure I'm reading your variables right

but it's either "square" or "square root" there

[gilded turret]

aight thanks @ionic jewel

[ionic jewel]

try graphing it so you can form your own triple integral with the other bounds

there might be a formula but idk it

[river rose]

real quick guys what's the easiest way to "square" a number on a basic calculator?

[glacial hedge]

mutliply the number by itself

[sacred shore]

Hello

[gilded turret]

hi albert

how am i assist one of the greastest scientists ever

in his math

[sacred shore]

I'm glad I came across a mathematical server ❤️

[glacial hedge]

i tried graphing it... but umm.. idk about you but this isnt very readable

[river rose]

so according to my teachers lesson 4.16 squared is 17.36

[ionic jewel]

lol

[sacred shore]

Ps: I am French

[river rose]

but when I do it on an actual scientific calculator like desmos it comes to 17.3056

where did I go wrong?

[ionic jewel]

you know the x bounds stay the same so do it on a 2d plane (yz)

[glacial hedge]

your teacher is wrong

[ionic jewel]

,calc 4.16^2

[ocean seal]

Result:

17.3056

[ionic jewel]

teacher missed a 0

[glacial hedge]

wait so i draw the xy plane as a graph and yz plane for the z bounds?

[sacred shore]

,calc Pi^2

[ocean seal]

The following error occured while calculating:
Error: Undefined symbol Pi

[river rose]

Hmm

and you're 100 percent sure it's wrong?

[ionic jewel]

what I'm trying to say is that you can entirely ditch the outside (x) integral and just do a change of limits on the other two

which is just change of limits for a double integral, which I assume you know how to do

i prefer to do it by graphing if I can, which should work fine for this one

[sacred shore]

is it impossible to prove the Riemann hypothesis ?

because here I am demonstrating it

[subtle mantle]

publish it in a paper for an easy 1 mil then

[glacial hedge]

oh..........

[sacred shore]

because I demonstrate it

[glass lichen]

define demonstrate

doing a couple examples isnt a proof

[spark sky]

Ummm

[wintry prawn]

<@&268886789983436800> what the hell is this

[vernal shard]

slim no

[sly mantle]

b&

[spark sky]

Why are there people spamming?

[vernal shard]

now you have 2 messages in this chabbel

channel

[spark sky]

I just joined I need help

Trigonometry

Anyone think they can help me?

Feel free to message me privately if you prefer that

[tawny lion]

what do you need help with

[spark sky]

One sec

Imma take a picture

And explain

[sacred shore]

I know, I have already demonstrated conjectures and created conjectures

[glass lichen]

so?

[spark sky]

What I don’t understand is soh cah toas difference between A B and C

I’m not sure if I change the order I have saved as a picture

[sacred shore]

the academy of sciences of Paris congratulated me for my conjecture

[analog locust]

what does vector projection means?

[spark sky]

Here I know how to solve for A but I’m unsure of how to solve for B for each of them

That’s my situation

This isn’t a test this is an assignment

[ionic jewel]

the component of one vector in the direction of the other

feel free to look it up

thetes also a formula

[analog locust]

any example of an application of cross product/dot product?

[sacred shore]

🙏 ⚛️

[analog locust]

I cannot really imagine some useful application of it tbh

[spark sky]

Can you help me?

[glacial hedge]

@ionic jewel have you taken real analysis

[ionic jewel]

look up Sebastian Lague Portals video

dot products come up a few times

[sacred shore]

yes sir you want me to do what?

[ionic jewel]

literally watched it today so it's the first thing i thought of

knowing the angle between two vectors is very useful

[ionic jewel]

no

[glacial hedge]

dot products are also a cheap way to calculate cos and crossproduct is cool for sin, becuz it saves alot of time calculating sin is very slow

[spark sky]

Oh sorry

[glass lichen]

cross: Torque from a force
dot: Work from a force

[spark sky]

Just read math help

Let’s move to question 9

If that’s fine @sacred shore

I’m a little new here

Ohh

Zero is at the bottom

😂

[sacred shore]

The problem is that I don't understand because I'm French not English so it's a bit hard

I use Google translate

[spark sky]

Ahh

[sacred shore]

yes .....

[spark sky]

You don’t have to help

[gloomy charm]

can someone help me

[spark sky]

If you know anyone who knows English if you could ask

[glacial hedge]

Someone who has taken real analysis, Do you know what the difference between an introduction to real analysis course is and a proper "real analysis course" is? Here is the sylabus of the introductory course.

[tawny lion]

all of those are parts of calculus 1

[sacred shore]

The problem is that I don't know or have serious difficulty with the language and I have to translate it with Google.

[glacial hedge]

🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ 🤦‍♂️ Real analysis is the proof sided study of calculus

[tawny lion]

not sure what the diff is between real analysis and intro

[spark sky]

Ok so will you help?

[tawny lion]

dunno i'm 15

haven't went so deep yet

[spark sky]

Haha

[tawny lion]

you can learn most of those things on khanacademy though

[glacial hedge]

im pretty sure that khan academy doesnt teach real analysis

[sacred shore]

No, sorry Bg because I'm being called so I'm not available anymore

[spark sky]

Ok well thanks for letting me know

[gloomy charm]

Can some one help mi with this

[slim crane]

can someone help me with this

[ionic jewel]

whats the comparison method

[alpine sable]

yea whats that

[ionic jewel]

its not a common name for any system of equation solving methods I know

but also if you explain it you might be able to apply it

[slim crane]

basically you compare the two equations and make them equal so 7x-11=9x-27

I got an answer but its not one of the options

[analog locust]

or use a linear combination and try to solve with Gaussian elimination or Cramer's rule?

@slim crane

[alpine sable]

Do you still need help with this one?

[honest token]

Hello, can someone help me with this question? What does the e (euler symbol) below de summation means?

[ionic jewel]

e in E

each element (e) in the set E

,w 7x-11 = 9x-27

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[ionic jewel]

@slim crane gives an answer

you did your algebra wrong

[honest token]

This summation represents a matrix, so what does the set E represents?

[ionic jewel]

E is a list of edges

the sum is going over each edge

its going over however you are representing edges in this case

column vector or something? no idea

[honest token]

can you enter the voice chat 384kbps?

[ionic jewel]

no I cant

either way the sum means what i said, and E is not a matrix

the matrix is named B

E is a list of edges

[sand lichen]

Last spring, 40 cats were adopted from the local animal shelter. This spring, the number of cats adopted dropped by 35%. How many cats were adopted this spring?

[grand onyx]

40 - 35% = 40 - (40*0.35)= 40-14 = 26

[quick fox]

26?

[alpine sable]

why arent the x's being simplified?

[grand onyx]

because you are simplifying what's in the parenthesis as a whole

If G = rot F and S is a closed surface, what can we say about the flux of G through S?

Anyone know?

[ionic jewel]

no but this sounds like a physics question

[grand onyx]

Calculus 4

Can i say that via Stokes theorem, it is the curvilinear integral of F?

https://scripti.ng/Cu5edijXJI.png

[alpine sable]

help

<@&286206848099549185>

[grand onyx]

After 4 hours, he travels 12 miles 30 degrees in that direction. x coordinate is 12sin(30) and y coordinate is 12cos(30)

dont forget the - for the x coordinate since it is in the 2nd quadrant

[alpine sable]

I'm confused

[grand onyx]

You have to used trigonometric formulas

sinx = opp/hyp

cosx = adj/hyp

[alpine sable]

is it 6sqrt3 for the first half?

[grand onyx]

x coordiante is -6

6sqrt3 is y coordinate

[alpine sable]

OH

ok

[grand onyx]

yea 30 degrees is pi/6

[alpine sable]

@grand onyxa?

[tawny lion]

cot is cos/sin

and sin(pi) is 0

so it's -1/0? how does that work?

[tawny lion]

as cotx = cos(x)/sin(x)

[alpine sable]

it's a

I know it is now

[bitter sparrow]

Can I get some help on a question

If that’s ok

[alpine sable]

<@&286206848099549185>

[buoyant coral]

if i'm not being dumb then yeah, that holds

[alpine sable]

@alpine sable is that a test?

[honest token]

Hello guys

I'm confused with this notation:

B is a matrix and Bt its transpose

[glass lichen]

can you show the whole context?

it's likely just the i,j entry of BB^T

[honest token]

but what if the number of lines ans columns of B are different?

its correct to write the (i,j) ?

like
B -> 3x2
Bt -> 2x3

[glass lichen]

rows and columns*

BB^T will always be square

[honest token]

yes, sorry about my poor english, i'm not native :/

[glass lichen]

and yes, (i,j)-entry is notation for any matrix

[honest token]

so (i,j) is the output matrix of this operation?

[glass lichen]

Not what I said at all

I said it's (i,j) entry of BB^T

however, again, I also asked for the whole context

[honest token]

i'll copy the question, 1 sec

[placid tulip]

For this question it asks determine the probability that a student takes between 0 and 50 minutes to get ready -- I am getting 10 but a probability of 1000% makes no sense??

[glass lichen]

yeah im just going to guess entry i,j of BB^T

[honest token]

@glass lichen thanks

[glacial hedge]

any idea on how to compute this integral (I havent learned cylindrical coords or spherical coords yet)

[tall wing]

symmetry

what happens if you consider finding a place to cut the unit ball in half

and considering points on each side

[glacial hedge]

but f(x,y,z) isnt symetrical?

[tall wing]

well

it isn't

but part of it is

i suppose i should say skew symmetric

[glacial hedge]

wha?

[tall wing]

in this situation

if you look for a point (x,y,z)

and then consider the opposing point -(x,y,z)

we would like the function evaluated at those points to be opposite

kind of like how if you integrate sin(x) over -pi to pi we get zero

because things cancel

we are doing the same thing here

[glacial hedge]

Oh i see

so isnt it just the int of 3 over the unit circle?

[charred flint]

I don't see the right answer in the multiple choice

[glacial hedge]

uh....

[slender marten]

I do.

[charred flint]

oh nvm it's fine

[glacial hedge]

its 4pi

[slender marten]

Split the integral up into two, use the argument above to say one should be zero. Then we just have 3 times the volume of a sphere with radius 1.

[glacial hedge]

*i think

[alpine sable]

No why

because tests aren't allowed, are you still looking for help?

[random crypt]

@alpine sable I am

[placid tulip]

I posted a question almost an hour ago but got no help could I have help with this one @crisp iron

im confused whats a frequency polygon

[wraith cairn]

Then search it up

[placid tulip]

I did but I dont understand whats the purpose of creating one all they are doing is connecting the midpoints of the bins

@wraith cairn

nvm i figured it out

[alpine sable]

Hi, I was brushing up probability from high school for an interview and I am stuck with a question conceptually. It is a probability question. So, it goes like this,

Q> Find the probability of getting 2nd king from a deck of cards without replacement.

My understanding- This seems to be a conditional probability question. My approach is like this - A|B = probability of getting 2nd king, given first king has been drawn already. B = probability of getting 1st king. A ∩ B(?).

My first doubt is, whether i should be finding A ∩ B - Probability of getting both the kings, or Probability(A|B). My second doubt is, what will be P(A∩B) in this case. @Helpers

[covert berry]

Please wait 15 minutes before pinging Helpers.

Can you elaborate on "without replacement"?

[alpine sable]

Oh sorry, this i copied from another channel, the tag also got copied

[alpine sable]

Without replacement means, once you take out a card, you cannot put it back

[covert berry]

Okay

@alpine sable The question seems ambiguous for me. The way I understand it, if you keep picking cards from a deck of cards, you'll always get a second king in some time.

[alpine sable]

So sorry, it was like that

There have been only two draws

Probability of 2nd king means, first draw you got a king, and in the second turn also you got a king

Thus 2nd king

But after first turn, you dont put back the card to the deck

[covert berry]

So your first 2 drawn cards are Kings?

[ionic jewel]

4/52 then 3/51

[alpine sable]

Yes

Exactly

[covert berry]

[ionic jewel]

,calc (12)/(52*51)

[ocean seal]

Result:

0.0045248868778281

[alpine sable]

Can you tell me what will be p(a intersection b) here?

If we solve that with conditional probability

[ionic jewel]

what are A and B

[alpine sable]

Please read my question above

[covert berry]

P = A ∩ B

[alpine sable]

No, i mean to say, like p(b) will be 4/52 ie probability of finding first king

And p(a|b) is what we want to find, right?

[covert berry]

yes

[alpine sable]

So, to plug into formula, we would also want p(a intersection b) value, right?

[covert berry]

P(a|b) is 3/51

[alpine sable]

What will that be here?

[covert berry]

The two events are dependant

So multiply the probability.

[alpine sable]

Ohkay, so we want to find p(a intersection b) and not p(a|b) when we have to find 2nd king?

But our p(a|b) says, probability of finding second king if first has already been out, right?

So isnt this answer for probability of 2nd king?

[covert berry]

it's the probability of the 2nd king in the scenario that the first king has already been drawn.

you wanna find the probability of king being drawn twice in a row in the first two times you draw cards.

[alpine sable]

Hmm so is probability of 2nd king different from probability of 2nd king if first king has already been drawn?

[covert berry]

It's so, I assume by 'the probability of 2nd king' you mean this

[wraith cairn]

you're finding P(first king) * P(second king|first king) = 4/52 * 3/51 (multiply because "and")

[alpine sable]

Okay let me write what i understood

Probability of 2nd king means both draws has king, whoch means, king in first draw "and" king in the second draw

Which is nothing but p(a intersection b)

Where a is king in first draw and b is king in second draw

And p(a intersection b) = p(a)* p(b|a)

P(a) = 4/52

P(b|a) = 3/51

Am i right? Please correct

[tall wing]

correct

[sand lichen]

Last spring, 40 cats were adopted from the local animal shelter. This spring, the number of cats adopted dropped by 35%. How many cats were adopted this spring?

help

[alpine sable]

(a - b) + (c - d)    = (a - d) + (c — b)
a - b + c - d        = (a - d) + (c — b)
a + c - b - d        = (a - d) + (c — b)
(a + c) + (-b - d)   = (a - d) + (c — b)

would this be correct?

[glacial hedge]

??

[glacial hedge]

what happened to the equal signs?

[alpine sable]

didn't wanna deal with them

[glacial hedge]

yes not that is correct

*now

Hmm. I am quite confused, I am getting a funciton or either x or y for g(z) could someone help?

[keen garden]

to convert from vertex form to factored form does factored form need x intercepts?

[glacial hedge]

???

[keen garden]

so I have a equation y=+100(x--2.14)^{2}+2.5 would it be possible to convert this to factored form

[glacial hedge]

technically yes... but it would be very very messy and probably wont help at all

[keen garden]

How would I do it, I need it for my assignment

[glacial hedge]

actually... in some cercumstanced no

[keen garden]

oh ok

[glacial hedge]

why would you need to factor that...

find the zero's of the polynomial

[keen garden]

we had to make a picture on desmos and just write down each parabola in standard, vertex and factored form

[glacial hedge]

can u show me the picture from desmos

[keen garden]

dont judge 😂

[glacial hedge]

The f***?

[keen garden]

ik

it was a stupid assignment but anything to bring my grade up lol

[glacial hedge]

well the clock is covering the zero's of it....

[pliant tundra]

hi so

i’ve got a question

i know

what im supposed to do

but im not sure how to do it

oh ok

uhm

let me explain what ive had so far

i know that im supposed to find a

given the vertex

and plug it into the equation

y=a(x-h)^2+k

but thats where

i get a little lost

[tight minnow]

Ok

They give you the vertex

X is h

Y is k

Plug them in

[pliant tundra]

right

y=a(x-6)^2-8?

[tight minnow]

Take one of the x-y coordinates on the table and plug it in for x and y

Solve for a

[pliant tundra]

ohhh ok

will do

oh cool

a = 2

[tight minnow]

Ok

[clever bolt]

which of these transformations are linear

[tight minnow]

Now I think you can distribute the values in the equation and rearrange them to get quadratic form

[pliant tundra]

ohhh wow tysm

i would use all the variables then

y = 2(10-6)^2 - 8?

[tight minnow]

I don't follow

[pliant tundra]

like

the formula

is

y=a(x-h)^2+k

would i plug in

a, x, h, k

or..?

[tight minnow]

Don't plug in x and y

Only a

[pliant tundra]

ohhh i see

just a

h and k?

[tight minnow]

And rearrange the terms to resemble quadratic form

[pliant tundra]

ohhh wow will do

tysm

[tight minnow]

Yes, sorry about that. Also use these.

[pliant tundra]

its ok

[tight minnow]

Gud

You got the right answer?

[pliant tundra]

i am almost done

[tight minnow]

alright, great

[pliant tundra]

got it

thank you so much

2x^2-24x+64

don’t mind the scribble

[tight minnow]

Ok

[pliant tundra]

but that’s the table i used

[tight minnow]

Cool

[pliant tundra]

yup

i hope i got it right

[tight minnow]

If you want to check that the equation is right, plug in x-values and see if the y value corresponds with the one in the table.

[pliant tundra]

ohhh

good idea

i have to eat

i will do that

soon

[tight minnow]

Great

[pliant tundra]

it worked!!

[raw rune]

can someone help me with some easy stuff ill pay u

6 questions

[tall wing]

@raw rune stop multiposting, read #rules

and asking people to pay for stuff isn't going to be effective here

[raw rune]

😦

[minor dagger]

can someone help me with this please

[solid sorrel]

Instead we have 200 cupcakes

How many have no toppings?

I can only think of the brute force way where I'll take away all multiples of 4,5,6 and 10.

[gray isle]

consider factor theorem @minor dagger

[alpine sable]

Okay so I was having brain freeze, now I got what I was missing, thanks guys @covert berry @wraith cairn @ionic jewel

[ionic jewel]

which

[onyx plaza]

21

[minor dagger]

i did -x^4+0^3+x^2+6x

its wrong

[pliant tundra]

you wanna simplify the like terms

[alpine sable]

A

[onyx plaza]

i think it is a but the problem here is would i have to raise everything to thier power

[pliant tundra]

but yea its a

[fallow urchin]

Can someone do three subject for me in delta math

[gray isle]

i did -x^4+0^3+x^2+6x
what do you have from applying factor theorem directly?
don't expand

[fallow urchin]

Is anyone down

?

[onyx plaza]

arf how did you figure that i did simplify like terms but the only thing is the 1/2 at the end

[fallow urchin]

Can someone do three subject for me in delta math

[ionic jewel]

your answer is right

[alpine sable]

For? $$$

[fallow urchin]

nitro

three months

[alpine sable]

Wow

[ionic jewel]

y'all trolling, no doing other people's work

[onyx plaza]

WTF I dont get it and why does the why is+ 2x^2 2Y^2 seperate and not part of the fraction

[ionic jewel]

nitro for 3 months is free

[fallow urchin]

😂

[ionic jewel]

he's literally jebaiting you into free math

[alpine sable]

Ofc, I am having it already

I was trolling lol

[fallow urchin]

dont you want more

[onyx plaza]

why in answer A is the 2x^2 2Y^2 seperate

[fallow urchin]

@alpine sable

Please bro

@ionic jewel

Come on

Man

[alpine sable]

I was kidding man, I am having interview already on monday so a lot of study i need to do also

[fallow urchin]

one atleast?

[ionic jewel]

zyro stop cheating on ur math it's against the rules

[fallow urchin]

huh

how

[ionic jewel]

you are assigned the work to do, not to pay other people to do it

would your teacher accept work someone else did?

if the answer is no it's cheating

[onyx plaza]

Ban hammer

[pliant tundra]

sorry for the messy handwriting but this should clear it up

[fallow urchin]

i dont know i havent ask him

[alpine sable]

Because they splitted the terms such that (4x^2y^4)/2y^2 becomes one term

[ionic jewel]

go ahead, once you have an email verifying that he wants you to pay people to do your work instead of you, then come back and offer

[pliant tundra]

will i get

a ban for cussing

[onyx plaza]

arf one moment

[ionic jewel]

it's not against the rules

[fallow urchin]

😂

[ionic jewel]

using it to harass/be otherwise toxic could tho

[minor dagger]

im still confused about my one

[scenic sable]

why does 0! equal 1

[pliant tundra]

i see

[ionic jewel]

look up it, it's the extended gamma function

[pliant tundra]

ayo don’t ask people to do shit for you it could be an unhealthy habit

not only rhat

[ionic jewel]

easier to read online than make me type it out

[onyx plaza]

i couldnt make sense of this

[pliant tundra]

i’ll explain it

ok so basically

you have

[onyx plaza]

but start from the beggingin

[pliant tundra]

sounds good

ill only focus

on

the

4x^2y^4/2y^2

[onyx plaza]

so we have three terms correct

[pliant tundra]

yes

[glass lichen]

what do you think it should equal?

[scenic sable]

0

[pliant tundra]

??

[onyx plaza]

i get it more now continue

[scenic sable]

obviously

[pliant tundra]

sounds good

ok so

4x^2y^4/2y^2

[scenic sable]

because its 0*

[pliant tundra]

is the same thing

[scenic sable]

wait

[pliant tundra]

as

[scenic sable]

what comes next

[alpine sable]

bunny, does it happen with you that your brain gets stuck on something but earlier you had solved so many problems based on that ?

[pliant tundra]

@onyx plaza can we move to #help-7｜zen1thxyz its kinda crowded

[alpine sable]

Like what happened with me for probability

[ionic jewel]

turns out factorials also work for negative and non-integer numbers, and for complex numbers such that the real part is positive

[onyx plaza]

yes please

[ionic jewel]

haha yeah sometimes

i can usually get over it p quick but i know the feeling

[alpine sable]

True

[minor dagger]

<@&286206848099549185>

[alpine sable]

Its is just that I passed highschool many years back, around 10

so maybe little rusty

[minor dagger]

here

[glass lichen]

1!=1
2!=1*2
3!=1*2*3
etc

to get from n! to (n-1)! you divide by n

[ionic jewel]

you have to backslash all the stars now

discord changed it for whatever reason

[glass lichen]

so to get from 1! to 0!, you divide by 1

so 0!=1/1=1

[ionic jewel]

,w (1/2)!

explain this one lol

or factorial of 1/2 is a fun one

[ocean seal]

Results provided by WolframAlpha

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

Requested by 兔子#6562

[alpine sable]

I was this many years old when I got to know we have factorial of fractions lol

[glass lichen]

gamma is a thing that exists, and yes

done

[alpine sable]

would it be easier if I convert this into cylindrical form?

[ionic jewel]

don't forget negative numbers

[ionic jewel]

yes almost certainly

[slender marten]

The bounds and integrand suggest cylindrical form immediately.

[alpine sable]

alright ty!

[misty pebble]

So I'm doing rates of change. I have a question that asks "estimate the rate of change of weight after 30 weeks." Is this instantaneous rate of change? average? Im confused

[jagged imp]

almost certainly instantaneous.

I can probably confirm 100% if you show the q itself

[misty pebble]

in the middle

[jagged imp]

yeah it wants instantaneous

[misty pebble]

so a line tangent to that point? the answer is apparently 4.4 and i dont get that

[jagged imp]

the slope of the straight line tangent to that point yes

you might not get exactly that, but as long as you get close to it you should be fine

[misty pebble]

okay

[glacial hedge]

go get him with that zeta function

[ionic jewel]

gamma

[elfin snow]

lmao

[glacial hedge]

oh

whoops

[ionic jewel]

zeta the one for 1/n^p sums

[glacial hedge]

wrong one smh xD

yeah

[elfin snow]

riemann zeta

[glacial hedge]

the million dollar one

[ionic jewel]

Euler zeta

[elfin snow]

that exists?

[ionic jewel]

I've heard both for the same function

[glacial hedge]

yeah

[elfin snow]

oh

[glacial hedge]

its actually called the euler--rieman zeta function

[ionic jewel]

i think Wolfram uses Reimann tho

,w zeta(-1)

didn't want to say i guess

[elfin snow]

lol

[alpine sable]

So, I saw this on Khan Academy on once, and I want to double-check if I saw right or not.

Let's say you have $f(x) = \frac{x + 3}{x - 2}$ and $g(x) = \frac{x - 2}{x - 4}$, and you wanted to simplify $(f*g)(x)$.

[ocean seal]

Cicopath

Cicopath

[ionic jewel]

yes, becuase of the unsimplified form

[alpine sable]

Or else it would make the original equation untrue right?

[misty pebble]

@jagged imp wait, one little question about the instantaneous rate of change, it asks for the rate of change after 30 weeks? how does doing it at 30 weeks give me the after part?

[alpine sable]

Yeah ok that's what I thought

Thank you!

[glacial hedge]

,w zeta(2)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Elonmosqito96#8525

[glacial hedge]

,w zeta(0-1)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Elonmosqito96#8525

[glacial hedge]

lmao it works if you do ,w zeta(0-1) xDDDD

[ionic jewel]

i mean it gives you the famous -1/12 result, but i was trying to have it say what the function is called

[glacial hedge]

oh

[ionic jewel]

i deleted my wolfram call cuz it didnt answer

[glacial hedge]

😦

me thinking i was outsmarting the system

[ionic jewel]

this is on PC

so its the Reimann zeta to wolfram

[glacial hedge]

yeah

[ionic jewel]

it recognizes euler zeta funciton too tho

[languid crescent]

how would i answer this

[glacial hedge]

expand using formula then check if p is still a factor

[bitter sparrow]

Anyone know how do solve this ?

It lost me

[buoyant kayak]

well, start with h(0)

plug in 0 for x

integral from 0 to 0 is...?