help-27

[zenith spoke]

precisely because of this

[toxic grove]

Yeah that's the best way of doing it

[zenith spoke]

and then $f^(xHyH)=f^(xyH)=f(xy)=f(x)f(y)=f^(xH)f^(yH)$

[woven radish]

pirateking0723

[toxic grove]

Yeah

That's better

[zenith spoke]

yea tysm for pointing this out

also tysm for the tips regarding the typesetting, I will try to work on that to let others have a better reading.

are there any other errors in the proof that i wrote ?

[toxic grove]

If you wanna improve your typesetting some more, you should use $\mid$ if you want the | relation (inside the curly brackets). You should also use a nonbreaking space between prepositions and math symbols (e.g.\ $\ldots$unit element of~$\hbox{Im},f\ldots$) just to avoid line breaks where you don't want them

[woven radish]

depression

[toxic grove]

The irony lol

I'd also say that you don't necessarily need to justify that f* is an injective homomorphism, you can just say "let f* be the induced homomorphism G/H --> Im f'"

Otherwise not really

It's good

[zenith spoke]

ohhh i see, i will keep these in mind

[zenith spoke]

alright tysm

[toxic grove]

The relation thing is just because TeX treats | as the "divides" relation, and \mid as the "such that" relation inside sets. It's a really minor thing but | doesn't put enough space either side of it

If you were wondering

Np

[zenith spoke]

ah now i see why, well actually now i know how to type using TeXit after continuously trying to use it for a good amount of time in this server because it is needed here to make typing the question , etc easier

so i just pick up what i need by searching on google

ie i didnt learn it properly lol

thats why idk about how to make the typesetting better as you saw

[toxic grove]

Yeah the only actual problem was that equations were being split up onto separate lines, everything else is mostly irrelevant

[zenith spoke]

yea thats right

anyway have a great day

.close

[devout snow]

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[devout snow]

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[umbral maple]

Hey, i have a few problems that i have no idea where to start

[umbral maple]

is anyone able to explain these?

[knotty sage]

what is the formula for area of the triangle ?

[umbral maple]

1/2bh

[knotty sage]

so which side you think should be the base in the triangle ABC ?

[umbral maple]

x

if thats what youre asking

[knotty sage]

you are doing 27 and 28 yea just making sure

[umbral maple]

yea

the numbers next to 27s graph are for 26

[knotty sage]

ok

one extra hint that might help
||it's ok for the height being outside the triangle||

[umbral maple]

is that for 27 or 28

[knotty sage]

27

[umbral maple]

ok thank you man

[misty crest]

use two triangles

then the others are triangle inequality

[umbral maple]

wait what

[misty crest]

i cant say anything else without doing it for you

see if you can find easier triangles to work with

[umbral maple]

use two triangles for 27?

[misty crest]

yuh

or three i guess

if you include the shaded one

[runic pelican]

it's simpler to just use one

[misty crest]

just the way i see it

[runic pelican]

fair enough i guess whichever makes most sense

[knotty sage]

or just for fun the triangle area determinant

[umbral maple]

i got 28 but lowk have no idea where to start for 27

[runic pelican]

use this hint

[umbral maple]

am i supposed to use my own triangle then find the shaded portion

[runic pelican]

you can solve it just by applying 1/2bh to the shaded triangle

you just have to figure out which side to use as the base

[umbral maple]

oh i see it

i think

is it 2.5

[knotty sage]

height is not 5 tho

[umbral maple]

ohhh i see wym

it doesnt make sense to me but is its height 4 then?

oh wait

nvm if it is 4 it makes sense

[umbral maple]

i thought the slant height was base

yea i see that now ty man

so would it be 2?

thanks a ton

.close

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[devout snow]

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[restive river]

how did he get that series?

[heavy current]

that's just the Taylor series for cosine

but instead of x, we replace it with 4x

[devout snow]

@restive river Has your question been resolved?

[restive river]

yeah but what changes with the 4 added

im kinda lost how taylor series works as well

like i watched a video

[heavy current]

I'm not sure what you mean

[restive river]

i get that its mainly finding a pattern

but how do u get the series out of that

f(c) + f'c(x-c) etc

[heavy current]

what do you mean?

[restive river]

like how do i get a series with the summation symbol from that

[heavy current]

for an infinitely differentiable function $f(x)$, its Taylor series at a point $a$ is given by $\sum_{n = 0}^{\infty} \frac{f^{(n)}(a)}{n!} (x - a)^n$

there's not really a 'pattern' per se...

you just compute f'(x), f''(x), f'''(x), etc, and throw it all into the formula

for functions like cosine, there ends up being a nice pattern because the derivatives of cosine end up looping on themselves

cos -> -sin -> -cos -> -sin -> cos

[restive river]

then what would happen for a non looping one?

[heavy current]

you use this

[restive river]

so ratio test for that

[woven radish]

higher!

[heavy current]

oops, I typoed haha

[heavy current]

that's for when you're examining the convergence or divergence of a series

[heavy current]

if you're just looking to compute a Taylor series, this is all you need

but back to your main question

the Taylor series of the cosine function at $x = 0$ is [\cos(x) = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \dots = \sum_{n = 0}^{\infty} (-1)^n \frac{x^{2n}}{(2n)!} ]

this should've been derived in the section just before the part you've screenshotted

then to find the Taylor series of cos(4x), we just replace x with 4x in the summation

[woven radish]

higher!

[civic grotto]

-eigen victor and eigen value
-Linear transformation and the standard matrix
-linear combination
-relations and their priorities
-equivalent
kernel, rank, nullity

can any one help me in those i have exam after 4 hours and i dont know thing

[heavy current]

uhh, try opening your own help channel

e.g in #help-9

also, be specific

this is not going to cut it

[civic grotto]

🙂🤦‍♂️

[restive river]

oh so ur basically seeing what the value added or multiplied is each time

[misty crest]

cos(some shit) = sum (-1)^n (some shit)^{2n} / (2n)!

[restive river]

and when its arithmetic u use An = a1 + (n-1)d

[misty crest]

is what he’s saying

[restive river]

ohh

[heavy current]

I think you've got Taylor series confused with arithmetic and geometric series, which are pretty unrelated

[restive river]

no like u use it to find the power

[heavy current]

the Taylor series at a point is an infinite summation that equals the function in question everywhere (assuming some nice things about the function but whatever)

it's not a numerical summation

one way to think about the Taylor series is by treating each truncated sum as a "best nth order approximation" to the function

for example, f(x) = x is the best first order approximation to sin(x) because f(x) = x is the first term in the Taylor series of sin (at 0)

the best third order approximation is f(x) = x - x^3/3!, because those are the first two terms in the Taylor series for sin(x), etc

here's what I mean visually

and with two more terms

see how the more terms we add, the "further out from 0" the polynomials "match" sin(x)?

this is the idea behind Taylor series

[misty crest]

all the taylor series is doing is matching the value of the function at the center, the value of the first derivative of the function at the center, the value of the second derivative of the function at the center, and so on and as we go on to infinity we "match" not just the value of the function at the center but every derivative of that function as well and you might see how the taylor series just ends up being the function itself so long as the series converges

what other properties can the original function have that our taylor series doesn’t?

if we match the value of the function at the center and all of the derivatives

[devout snow]

@restive river Has your question been resolved?

[restive river]

thank you @misty crest and @heavy current

[devout snow]

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[odd orchid]

finding the derivative of this question, i end up with

[odd orchid]

in the answer key its y/3(everything else)

my teacher said to look at his answer key (the one with y/3), but it doesnt seem to match the textbook answer key, which is what i got

im kinda lost on where the y/3 comes from

these are the two possible answers im referencing

[heavy current]

can you show your work?

[odd orchid]

I used logarithmic differentiation and I probably skipped a couple of steps

Originally I got to the answer on the left, which is like a cross between my teachers and the text books, and then I simplified the bracket to the textbook answer

Not sure where my teacher got the y/3 from

And he only posted the even answer keys for the textbook, but made a point about also posting this one because it's important. But idk why the answer seems to be different than the text book

[heavy current]

the 1/3 comes from the log on the right pulling the exponent out

the y comes from multiplying both sides by y after differentiating the log of the left hand side

y'/y = 1/3 * derivative of log terms

[heavy current]

ah, you've misread the problem

the 1/3 isn't going on the denominator c:

it's going on the entire quotient

[odd orchid]

ooohhh

wait

i understand it now

wow

[heavy current]

[odd orchid]

alright thanks lmao

.close

[devout snow]

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[odd orchid]

small ahh textbooks smh

[heavy current]

it happens

[devout snow]

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[cosmic abyss]

A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 6 m/s. Find the equation of motion.

[cosmic abyss]

I am getting 3sin2t

and it is apparently wrong?

idk but someone follow me the steps

[drifting mauve]

you have to find the amplitude and angular velocity term, but for that use the force constant term

[cosmic abyss]

-kx right?

its like a differential equation

and fuck dude I am more of a biologist why am I learning this shit

[drifting mauve]

i wonder too

it's not really a differential equation, don't worrk

[cosmic abyss]

it is

it is from my differential equation class

[drifting mauve]

weird, you don't usually solve second order differential equations pre uni

[cosmic abyss]

I am in uni

and it is a second order differential without the first prime

plus, it has an imaginary number so it is a sin cos

[drifting mauve]

the pre uni role was misleading

[cosmic abyss]

shit

sorry

[drifting mauve]

weird problem, can you visualise it though? the question is not really clear about the configuration of the whole thing

[devout snow]

@cosmic abyss Has your question been resolved?

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[prime narwhal]

you use the +- simple since it could be in either right? (since x and y can change signs, in this case just y.)

[restive river]

we have two quadrants here

2nd and 3rd

cot function id negative in 2nd quad and positive in 3rd quad

so we use the +-

same goes for tan function

[prime narwhal]

Ok Ty

Are 3 and 5 asking the same thing?

As in if I study 3 I will be able to do questions like 5 on the test tmr?

On a time crunch rn

[restive river]

Yea they're the same thing

[prime narwhal]

So I'll be good?

[restive river]

you just need to note the domain

[restive river]

if you solve 3

yeaa

[prime narwhal]

Okay

Thanks

Also

[restive river]

keep the domain in mind

[prime narwhal]

Of course

[restive river]

Yeaa

[prime narwhal]

for 4f

ive goten up to getting the value of theta correctly,

so does that mean my refernece anlge is -0.69 rad?

[restive river]

im sorry can you rephrase?

[prime narwhal]

uhh idk

reference angle?

thats how far it is from the x axis

[restive river]

ooh

yeaa thats the ref angle

-0.69

[prime narwhal]

so in quad 4

but for quad 3

its

-pi + 0.69?

im so confused

is -0.69 even an angle?

[restive river]

Yea😭

[prime narwhal]

so is the ref angle

-.69

or

or .69

idek bro

ts is not working in my head

[restive river]

sooo

we go in the positive direcrion

from 0 to 2pi

[slim cedar]

Imma take a peek.

[restive river]

hence we take pi + .69

[restive river]

okie love

[prime narwhal]

so i can think of it as if the ref angle is 0.69

and then just find the angles

cuz its in those quads

i understand it jus threw me off cuz -.69 isnt an angle

and none of them are negitive

so is 0.69 the ref angle in a way?

[slim cedar]

🤨

[prime narwhal]

or i can think of it like that at least?

[restive river]

-0.69 is in the counter clockwise direction

[prime narwhal]

so i can think of it as a 0.69 ref angle?

for these situatons?

idk how to explani what i mean

[restive river]

aren't they

[restive river]

-0.69 is a ref angle

yes

[restive river]

its the way you represent the ref angle

you can add pi to +0.69 and subtract 0.69 from 2pi

[prime narwhal]

ok

i think i understand?

if i think of it as 0.69 then ik how to find which quads its in

and then allat

but its just that was the issue

confused me a little bit

[restive river]

oohk

[prime narwhal]

thanks

i think its time for me to slepe

my mom alr got mad 2 hours ago so thats fun

ty guys so much

this discord saves my math grade

.close

[devout snow]

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[leaden crow]

hi @prime narwhal

[devout snow]

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[broken zenith]

idk where to start...

/:

so 3x+1 | 2x-5

and 3x+1 | 3x+1

mabye multiply the first with 3 and the second with 2?

[pseudo basin]

sure, try that.

you'll find that 3x+1 must divide some number independent of x

which will narrow down your options a whole bunch

[broken zenith]

3x+1 |6x-15 and 3x+1 | 6x+2

now what

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[restive crater]

can someone here

[restive crater]

help me with what a phenotype is

sorry i cant find another place

in biology

[vital sedge]

observable traits of something, height, eye color.

[devout snow]

@restive crater Has your question been resolved?

[restive river]

Traits visible in an organism.
For example,
if you have a plant, it's height, colour of the flower, size of seeds is it's phenotype

[devout snow]

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[west osprey]

It's Cauchy–Schwarz inequality, soo can anybody explains to me why when use cauchy for (16+2a)x it turns into a=x ?

[west osprey]

same case for b and y

[supple knot]

wut

too much is cut out

[west osprey]

too much what

[supple knot]

of the screenshots

[west osprey]

I just cut what i don't undertstand, it's the part of the problem which we don't need to know

the second one x is replaced by a

Ohh wair

wair

wait

[supple knot]

and your question can't be answered because you cut out the question so only you know the context

[west osprey]

Yeahh right n i also think i don't need it anymore

But knowing the context doesn't help anything. Thanks anyway

.close

[devout snow]

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[supple knot]

it does but you don't think so because you're the only one who knows the context

[devout snow]

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[granite kindle]

HELP MEE

[granite kindle]

PLS

[brittle inlet]

With what though?

[heavy current]

do you have a specific question?

we can't help you if you don't tell us what you need help with

[granite kindle]

There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?

[green crypt]

...

[pure flower]

[heavy current]

sure

[green crypt]

Wild

[soft umbra]

Tough one

[granite kindle]

I need SERIOUS help

[heavy current]

we started with 90 kites, and we're left with 5 in the end

[granite kindle]

There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?

[deft herald]

troll

[heavy current]

how many kites did we sell away?

[granite kindle]

nuh uh

im special

[deft herald]

yep.

troll

[granite kindle]

no

nuh uhhh

[heavy current]

I'm trying to help you, if you're being serious

[green crypt]

I don't doubt that

[granite kindle]

im on the spectrum

[pure flower]

okay

troll

[granite kindle]

There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?

[wind mason]

@granite kindle 2 options:

1. Be serious.
2. We ping mods.

[pure flower]

@heavy current should we close this

[granite kindle]

answer for me

[wind mason]

Okay.

[heavy current]

we start with 90 kites in a store, and we give away ?? many to be left with 5?

[granite kindle]

plssss

[deft herald]

90-5

[granite kindle]

There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?

[deft herald]

shut

[heavy current]

good grief

[granite kindle]

bru

[heavy current]

you're not acknowledging me at all

[wind mason]

Yeah, ping mods lol.

[deft herald]

.close

[green crypt]

The fact this question has 3-4 helpers tho 😭

[granite kindle]

i seriously need help

[soft umbra]

@granite kindle

[wind mason]

.close

[devout snow]

Channel closed

Closed by @wind mason

Use .reopen if this was a mistake.

[deft herald]

😭🙏🏻

[wispy oyster]

the kite was left with 5 shopkeepers?

[granite kindle]

oh srry

[soft umbra]

Answer higher’s question

[heavy current]

[granite kindle]

who

[soft umbra]

.reopen

[devout snow]

✅

[soft umbra]

If you’re being serious, please answer @heavy current ‘s question. He’s trying to help you.

[granite kindle]

whos higher

[heavy current]

[deft herald]

helper

[granite kindle]

ohhh

ok

what was the question

[pure flower]

ugh

[heavy current]

.

[green crypt]

Boys

[deft herald]

.

[granite kindle]

uhh

i sincerely dunno

[heavy current]

we had 90 kites in a store, we're going to give away ?? of them, and be left with 5

[granite kindle]

.

wait

its a trick question

[green crypt]

I say we purge this channel

[granite kindle]

none

[heavy current]

it's not a trick question, ma'am

[granite kindle]

oh

[soft umbra]

Do you know how to transform the description into an equation?

[heavy current]

since we're losing kites (90 is bigger than 5), we ought to be subtracting a certain number of kites from our original collection of 90, to end up at 5

can you write down an equation to describe this?

[shell plover]

We need to know the fermats last theorem to solve this. Do yk that?

[heavy current]

please don't further troll in this channel

[soft umbra]

Stop it

[shell plover]

😭 haha

if they doesn't know how tosolve this question then im assuming they're under 10 and kids under 13 r not allowed to use dc

[wind mason]

No. There are adults that are learning basic addition.

[shell plover]

a person above the age of 13 can solve this easily

its not even maths

[wind mason]

!redir

[devout snow]

This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.

[wind mason]

Please. This channel is a shithole as it is.

[shell plover]

let's discuss on the other channel. 🫴 Come

[pure flower]

literally is though

[shell plover]

ik but.. :(

[devout snow]

@granite kindle Has your question been resolved?

[devout snow]

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[granite kindle]

huh

[granite kindle]

how

srry, on the spectrum

im a wittle curious

?

hello?

vhjvhj

ggyjh

[shell plover]

bruh

[soft umbra]

Don’t spam

[pure flower]

...

[granite kindle]

oh srry

[soft umbra]

Which part confuses you?

[granite kindle]

all of it

[soft umbra]

I see, let’s make it step by step

Do you agree that when I have 5 kites, I’ll be owning 10 if you were to give me five more?

[granite kindle]

no

you would have 15

[soft umbra]

Why?

[granite kindle]

because you added 5 to 10

[pure flower]

why ever not

[shell plover]

suppose you have 10 fingers and i chop 5 of them how many are left

[soft umbra]

No, let me rephrase my words
If I have 5 kites and you give me 5 more, how many will I have?

Decent

[granite kindle]

ten

you still have the fingers

[shell plover]

😭

[pure flower]

okay

im this close to .close

[granite kindle]

wym?

[shell plover]

noo

[heavy current]

hm, would it help you if I drew some pictures?

[shell plover]

we r helping

[granite kindle]

sorry i was answering sheesh's question

[soft umbra]

Can you answer to this question?

[granite kindle]

no one has ever taught me

[granite kindle]

10

[granite kindle]

yes!

draw pics of a hand with no fingers

[soft umbra]

Decent!
What if when I have 3 kites, and you take 1 off me

[granite kindle]

uh

why do u have the kites on

[soft umbra]

It doesn’t matter, just assume I have 3 kites

[shell plover]

what's the value of sin(30°)

[granite kindle]

idek

[granite kindle]

ok

i assume u have 3 kites

[granite kindle]

you will go tohell for sinning?

[shell plover]

no im an atheist

[heavy current]

good grief

[granite kindle]

.

sorry if i sound rude lol

[granite kindle]

what is that???

[shell plover]

no u sound like a troll

[granite kindle]

i do?

[shell plover]

nothing

[granite kindle]

im serious

[heavy current]

I can't tell if you're trolling or just being obtuse

[granite kindle]

no im serious

[heavy current]

it's making it quite difficult to work with you, I'm afraid

[pure flower]

both

[shell plover]

Do u mind telling ur age

[restive river]

One who doesn't believe in god no god exists

[granite kindle]

wait whats obtuse

obese??

[restive river]

R u a minor?

[granite kindle]

oh

no

i was never taught these math skills

[soft umbra]

Which you react slower than people

[granite kindle]

ohh

yeah im that

[shell plover]

how do u spell "imatroll"

[restive river]

U from US?

[granite kindle]

same thing

[granite kindle]

bru

[restive river]

You are trolling him

[shell plover]

:( sowry

[heavy current]

if I have 8 apples, and I eat 3 of them, how many apples do I have left? @granite kindle
if you can answer this, you should be able to solve your kite problem too

[granite kindle]

ye im being dead serious

[granite kindle]

uh

[restive river]

Why have you Started the channel when you don't got any problem?

[heavy current]

use your hands if you must c:

[granite kindle]

i do

[restive river]

Where is it?

[shell plover]

Her question is what's 90-5

[granite kindle]

oh i would have 5 apples

ami right???

[heavy current]

yes, you're right c:

[soft umbra]

You’re correct

[granite kindle]

ok!

[restive river]

Yes

[soft umbra]

Congrats

[shell plover]

:yaaa

[granite kindle]

i used my fingers like u said

[heavy current]

mhm

what you've just shown is that 8 - 5 = 3

[granite kindle]

so how does that help

[restive river]

If you are not having any questions. Then you can please close the chat using .close and continue in #chill

[shell plover]

then use ur fingers to calculate 90-5 too

[heavy current]

8 apples - 5 apples = 3 apples

in the same sense, we have 90 kites - ??? kites = 5 kites in your original problem

same problem, just different numbers

[granite kindle]

subract 40??

[vital sedge]

wait whats happening

[pure flower]

we're learning algebra 101

[shell plover]

definitely a troll

[granite kindle]

or 50

[soft umbra]

@restive river @restive river Please, don’t disturb the OP and higher.

[granite kindle]

im serious

[vital sedge]

do you know what + means?

[restive river]

90-5 = (80+10) - 5 = 80 + 10 - 5 = 80 + 5 = 85

[shell plover]

No you r lily pad

[granite kindle]

what?

plus?

[vital sedge]

ye

[granite kindle]

ok

[heavy current]

sigh, I guess I'll leave this channel to avoid crowding it

good luck Lily Pad

[granite kindle]

wait

tyssmmm

[shell plover]

do you know how to calculate electric flux with the help of gauss' formula?

[granite kindle]

so i do subract 40?

[shell plover]

Yaaa

ooh

[granite kindle]

okk

tysm guys!!

[vital sedge]

are you being for real lilypads?

[restive river]

<@&268886789983436800> Here some good trolling going on with kids learning to subtract

[shell plover]

haha ur welcomee

[shell plover]

yes

[granite kindle]

im not trolling omg

[vital sedge]

How old are you then

[granite kindle]

why?

[shell plover]

im getting so trolled rn 😢

[vital sedge]

because if you're under the age of 12 you cant be here

[raven leaf]

no way someone is able to speak English like this and can't subtract

[granite kindle]

oh, im not under that lol

its possible

[vital sedge]

I mean 13

[shell plover]

She's from the US

[granite kindle]

not under that either

how do yk?

i could not be

[vital sedge]

uhuh alright

[shell plover]

intuition

[raven leaf]

because your profile doesn't say your pronouns

[granite kindle]

it used to

[restive river]

Close the channel .close you can continue in #chill

[granite kindle]

how does that tell u where im from'

[restive river]

This tbh ☝️

[granite kindle]

why cant i stay fr

[pure flower]

@shell plover mate stop it

[vital sedge]

Guys, guys,guys, she's definintly from the US since they can't do basic algebra

[restive river]

Bc it's for help

[soft umbra]

No, why does she need to close the channel if her doubts aren’t cleared yet

[shell plover]

Stop wht

[vital sedge]

as proven from trumps latest formula lmao

hahahaha

[pure flower]

this isn't where we troll.

go to #chill or something

[vital sedge]

alright gl im leaving

[restive river]

She is talking about something off topic not maths and she's trolling obviously

[soft umbra]

Stop trolling here, it’s not helping the progress

[granite kindle]

i was asking a sincere question

[restive river]

She's underage if she's learning to subtract here

[granite kindle]

im not trolling, i promise

[heavy current]

do you guys mind cutting out the trolling/bullying against OP?

[shell plover]

broda

Ok ill help her

[pure flower]

as long as someone wants to help her, the channel can stay.

[soft umbra]

There are people who don’t get well-educated at their teenage. You shouldn’t assume their age because they don’t know how to subtract

[shell plover]

So imagine you have 20 flowers i take 20 from u how many do u have left

[granite kindle]

why does it matter where im from? I can learn

u should have 0, correct??

[pure flower]

yep

[restive river]

Minors aren't allowed on discord for your information and they don't joke around with such reports

[shell plover]

Correct and if u have 70 flowers and i take 10 away how many left

[soft umbra]

Discrimination doesn’t solve her problem

[granite kindle]

im on discord??

[restive river]

In this context minor defines below age of 9

[restive river]

No this is twitter

[granite kindle]

im above 9

[vital sedge]

huh her problem

yeah definitely

[restive river]

We aren't

[restive river]

Clearly state your question

[shell plover]

how many left?

[granite kindle]

i was trying to make u understand that i am not a minor

sorry, repeat

[pure flower]

ugh

[granite kindle]

Valeheart wont stop chatting.

[shell plover]

?

[restive river]

You got a maths problem?

[pure flower]

@restive river

#chill

[granite kindle]

mk

60??

[restive river]

Contact mods they won't stop they are themselves becoming trolls

[shell plover]

Yes how did u do that!??!

[restive river]

What is your question?

[granite kindle]

i searched it.

[vital sedge]

genious

[granite kindle]

ikr

[restive river]

Good now type .close

[vital sedge]

ye

[shell plover]

dam

[granite kindle]

mmm nah

[restive river]

Why?

[granite kindle]

i gotta nother

[soft umbra]

@restive river @shell plover @vital sedge
As long as we want to help her, there’s no point of you to convince us closing the channel since her question isn’t meaningless.

[restive river]

What is it?

[soft umbra]

Please leave the channel if you’re not here to help

[shell plover]

im helping her

Can't u see

u can even ask her

[granite kindle]

yeah, valeheart isnt

sheesh is tho

[vital sedge]

am I helping?

[restive river]

What is your another question?

[granite kindle]

somewhat

[shell plover]

he's a good boy he'll help too

[granite kindle]

😭

[vital sedge]

That's true

[shell plover]

50-25=?

[granite kindle]

o

uh

[restive river]

Ms. lily pad what is your another question you were about to ask?

[granite kindle]

so ik 5-2 is three so 35??

[vital sedge]

we know 50 = 25 + 25

what is 25 - 25?

[shell plover]

subtract your answer by 10

👍

[vital sedge]

the same minus the same

[granite kindle]

ohh

25

[vital sedge]

YES

[granite kindle]

sorry

[vital sedge]

godlike

alright now what is 60 - 25

[granite kindle]

6-3 is 3 soo 45?

[shell plover]

mathh is crazyy

[granite kindle]

huh

oh

[vital sedge]

almost

why did you do 6-3 first?

[granite kindle]

35?

3

you remove 3

[shell plover]

yes

[vital sedge]

how about 60 - 45

[granite kindle]

uh

25

[vital sedge]

Alright stop looking at the first part of the number

[granite kindle]

oh ok

[vital sedge]

60 IS NOT 6

[granite kindle]

im not trolling, nor a child.

[vital sedge]

why did you not learn this in school?

did you not have a chance to?

[granite kindle]

no, i did not.

[raven leaf]

you're assuming everyone is privileged enough to go to school young

[vital sedge]

if that's true that really sucks

[granite kindle]

its absolutely true,i promise.

[vital sedge]

hard to believe someone knows how to work techonlogy without subtraction

Yeah that's so crazy

[heavy current]

we don't need to interrogate her about this

[restive river]

This tbh ☝️

[granite kindle]

I used to write with my parents.

[vital sedge]

that's sweet :)

if you really want to know how math works, you shouldn't look it up on DISOrD

[restive river]

@winter torrent

[shell plover]

do yk how to count?

[raven leaf]

she's also not done anything that's particularly harmful at all

[heavy current]

frankly, I find it a bit disrespectful to keep on prodding her about not learning subtraction until now

[vital sedge]

please look everything on youtube or some website

[heavy current]

don't ping individual mods

[winter torrent]

driving

[vital sedge]

you can't blame us

in my opinion

[raven leaf]

hey get off your phone

[shell plover]

park

[granite kindle]

yes! just not well

[shell plover]

oh okk.

[vital sedge]

I'd recommend youtube as a way to understand @granite kindle.

[soft umbra]

Doesn’t matter, our goal is to let her understand

[granite kindle]

Why are you acting like that? You're acting like im weird for not knowing how to do something.

Everyone has their things.

[restive river]

Btw u from USA?

[granite kindle]

Algebra is mine.

[vital sedge]

Which is in my opinion justified, it's hard to believe there are people like you out there, and I mean that in the most positive meaning.

[sand dove]

Nowhere is it specified that you can't ask for subtraction problems. Those math help channels are adapted to any pre-uni topic

[granite kindle]

why does it even matter where i am from?

[sand dove]

If you're gonna discriminate on "oh this problem isn't hard, even a child could do it", then maybe helping isn't for you

[shell plover]

32+5=?

[granite kindle]

Asking where i am from doesnt mean how much you can help.

[raven leaf]

Either you guys are also trolling or you're being ridiculously obnoxious and discriminatory for no reason

[granite kindle]

what do you mean?

I dont agree with the treatment.

[vital sedge]

don't do the "if one does it everyone does it"

[restive river]

Okay I will help you. What you wanna learn?

[granite kindle]

i just wanted to learn.

[vital sedge]

what do you know about algebra already

[shell plover]

32+5=?

[granite kindle]

hm

can i think for a bit??

sorry.

[shell plover]

yess

[granite kindle]

ok tysm for being patient

37?

[shell plover]

:)

[sand dove]

ok so addition of quantities around the tens seems ok

[heavy current]

I'm going to be honest, this server's help channels aren't really the best place to teach you fundamentals like arithmetic from scratch. I'm not saying you can't learn those here, but you'd probably be better off looking for online resources and/or being guided by one particular person who understands how to work with you

[granite kindle]

oh.

[sand dove]

Do you need any insight on what subtraction is and why do we use it a lot?

[heavy current]

with that said though, I support you being here c:

[granite kindle]

no, not really, you just take away

[vital sedge]

I made the same comment earlier, you'd be better off learning from youtube or websites.

[sand dove]

there's a bit of that yes

but in most part, it's to be taken as "reverting addition"

[granite kindle]

oh

feburary. already happened.

why does that matter tho

[vital sedge]

nice math question

uhuh

[shell plover]

💀

[vital sedge]

imma say good luck lily

[granite kindle]

Aquarius.

[sand dove]

subtraction helps us revert back to what it was before we added anything, or helps us anticipate how much to add to get to some total

For example, the question "I have 7 horses. How many horses to I need to buy so 10 people can each have one horse?"

[heavy current]

can you stop interrogating her, Valeheart?

[raven leaf]

wow you really are just obnoxious and rude

[heavy current]

we're on a server of 250k people

[granite kindle]

No. I do not have to share that with you.

[heavy current]

she is not obliged to share personal information with you

[soft umbra]

Good choice

[sand dove]

bruh

[heavy current]

stop.

[soft umbra]

Stop

[granite kindle]

I said no.

[shell plover]

.stup

[restive river]

Okay fine

[sand dove]

so disrespectful to even ask in a help channel, EVEN AFTER the person told you no

[sand dove]

I'll try to pick up from here

so subtraction isn't just about "taking back stuff" or "taking stuff away"

[restive river]

I didn't forced her . Neither it's between me and her so stop being so christ angels. If you wanna help then do. Stop calling me rude for nothing.

[sand dove]

it can be thought of "what to input in the addition to get what I want"

[shell plover]

calm down bbg

[raven leaf]

what's your first, middle, last name, your date of birth, your place of birth and you social identity number

[granite kindle]

Well, bye.

[shell plover]

Noo

[vital sedge]

For the better, good luck lily!

[granite kindle]

.close

[devout snow]

Channel closed

Closed by @granite kindle

Use .reopen if this was a mistake.

[shell plover]

Ba bye

[soft umbra]

Can I dm you rq?

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[sullen oasis]

hi

[sullen oasis]

my calculator does not work atm

and i tried to do this in chat but i am not sure if its correct would

rly appricate if someone can calculate it for me

[vital sedge]

what is it

is that the answer?

you can ask it to put it in wolfram in chat

[sullen oasis]

yea i just need to know what the + x is equal to

[vital sedge]

"please put this equation in wolframalpha and show me the answer"

put that in

[sullen oasis]

how do u mean?

[vital sedge]

Could you show me the question?

[sullen oasis]

its physics

[vital sedge]

you're solving for x so it's math

[sullen oasis]

thats the formula

i am using

[vital sedge]

with m = ? g = ? and theta = ? and k = ? and mu = ? and s = ?

[sullen oasis]

those are given where m=3,35 kg

g = 9,806

[vital sedge]

yeah okay so just ask chatgpt to round it

or put it in wolframalpha

that's a calculator of it's own

[sullen oasis]

how can i put it in wolframalpha

[vital sedge]

look up wolframalpha in google

then go to the first website and enter it

x = all that stuff

it will round it automatically

[devout snow]

@sullen oasis Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[proven radish]

hiii

[proven radish]

everything

this is very hard

i said

a b c e b c d

[oak bane]

u have a doubt in all the questions?

[proven radish]

yeah

[oak bane]

ok lets start with q9

[proven radish]

sorry if it s too lmuch work for you

[proven radish]

ty

[oak bane]

what did u try

[proven radish]

so i did a equation

where dogs there are 2 DOGS 5 RABBITS AND 3 CATS

[oak bane]

hmm how did u get this?

which equations did u use

[proven radish]

i don t remember

[oak bane]

wait do u have doubts on how to solve or do u want me to just verify your answers

[proven radish]

Vérify plz

Bc i used some methodes that i am sure of but not thé Answer d

so?

[oak bane]

wait

[proven radish]

ok

[oak bane]

9-12 are correct

part of 13 is blurred

[proven radish]

ok i will get a better photo

Bat owns dogs, rabbits, and cats. He has 8 dogs, 5 rabbits, and 7 cats. He says that neither his dog, nor his rabbit, nor his cat is among them.
How many animals does he own in total?
A) 10 B) 11 C) 15 D) 16 E) 20

A circle with center O and radius 10 cm contains a square OPQR. Point Q lies on the circle. Find the area of triangle PQR.
A) 12.5 cm² B) 25 cm² C) 50 cm² D) 75 cm² E) 100 cm²

Gold and silver medals numbered 1 to 7 are aligned. An image shows them grouped in sets of three. One gold medal is identifiable.
Find the sum of the numbers on the two gold medals.
A) 7 B) 8 C) 9 D) 10 E) 11

A screen displays an image in 16:9 format, which is then reduced. What fraction of the original area remains?
A) ¾ B) 9/16 C) 27/64 D) 32/81 E) 81/256

Bat and Erdene celebrate their birthdays. Bat's age is 1/19 of Erdene's age. Their combined age is between 40 and 100 years.
What is Bat’s age?
A) 19 B) 34 C) 38 D) 57 E) 76

Bilguun shoots 27 arrows at two targets. He hits the first target 50% of the time and the second 80%. He hits a total of 9 times.
How many times did he hit the first target?
A) 4 B) 5 C) 6 D) 7 E) 8

A box contains 18 balls numbered 1 to 18. What is the minimum number of balls you must take to ensure having at least three prime numbers?
A) 11 B) 12 C) 13 D) 14 E) 15

[oak bane]

14 is correct

ask 13 and 15 in a new channel

i have to go

[proven radish]

why

ok bye

.close

[devout snow]

Channel closed

Closed by @proven radish

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[copper ibex]

When is the tangent parallel to the y axis ?

i used implcit differentiation

found dy/dx = y-x^2/y-x

i know the answer is when dy/dx = DNE

but i dont know how to find that

like coordinates for it

[copper ibex]

im assuming when the denominator yields 0, so when y = x

[graceful cosmos]

You would probably instead want to consider
dx/dy = (y - x) / (y - x²) = 0

[copper ibex]

why ?

oh

[graceful cosmos]

That's probably just the same as working with "denominator = 0" but working with DNE scares me

[runic pelican]

btw you might want to recalculate this

[wispy oyster]

,w derivative x^3+y^3 = 3xy implicit

[woven radish]

Results provided by WolframAlpha

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

Requested by _mia_34

[copper ibex]

oh...

[wispy oyster]

its the same thing is it not?

[copper ibex]

no

[wispy oyster]

oh y^2 in denominator

[copper ibex]

y-x^2 / y^2 - x

so i take reciprocol and equate to 0

so when y^2 - x = 0

[runic pelican]

a good sanity check is that swapping x and y should reciprocate the expression

i.e. there should be some degree of symmetry

since the original function is symmetric

[runic pelican]

yep

[copper ibex]

how would that help me find the coordinates?

[runic pelican]

well, we now know such points lie on the intersection of two curves:

y^2 - x = 0, and the original curve x^3 + y^3 - 3xy = 0

[copper ibex]

ah

i see

[copper ibex]

so equate them?

[runic pelican]

well we want to find the intersection of these curves

the best way to do so is probably via substitution

[copper ibex]

alr thx i got it

.close

[devout snow]

Channel closed

Closed by @copper ibex

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[still cipher]

rlly need help with part B. So far i've triedd to use the polar to rectangular equations such as r=costheta and y=sintheta but havent had success

[still cipher]

<@&286206848099549185>

[lunar harbor]

Should be $x = r \cos \theta$ and $y = r \sin \theta$

[woven radish]

Civil Service Pigeon

[still cipher]

yeah thats what i tried

i can show you my work so far

How would I use the x euqation here ?

[lunar harbor]

You don't

Also are you sure you're not supposed to just graph the equation at this point

or rather graph both sides

and see where they intersect

because you're not solving this algebraically

[still cipher]

Yeah i tried that

but a ti84 doesnt have the ability to find where poral equations intersect

[lunar harbor]

You don't need that

Just find where $y=1$ and $y=(2x+\cos x)\sin x$ meet

[woven radish]

Civil Service Pigeon

[lunar harbor]

note that I'm replacing $\theta$ with $x$ since that's what the calculator works with

[woven radish]

Civil Service Pigeon

[still cipher]

ok ima try that rn

Wait they meet in multiplcate places, how would I dteremine the boundaries of where I'm looking since theta=pi/2 and theta=pi ?

[lunar harbor]

Can't you restrict the domain using mode

should be a button in the top row

[still cipher]

I can change the window size ?

Im confused

[lunar harbor]

Yeah just restrict the domain of the graph from pi/2 to pi

._.

[still cipher]

so thats still ok even though we're in rectangular coordinates now ?

[lunar harbor]

Yeah?

Because your equation is still in terms of theta

even if we're typing x into the calculator

[still cipher]

ok that makes sense

thank you

.close

[devout snow]

Channel closed

Closed by @still cipher

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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[spring salmon]

can someone help me understand this? I have no idea how to interpret this

[graceful cosmos]

I agree, this picture isn't very clear at all. Trying to read it

I think the blue is literally the transformation of the black, but they happened to start the blue at at the end of the black, which is really not okay

[spring salmon]

how would I estimate the eigenvectors and eigenvalues from this then

[graceful cosmos]

So if a vector is near (1,0), the transformation is near (1,0). It looks like (2,0) but that's only because they're adding the black back in

[spring salmon]

omg

that's so bad

that's actually horrible wow

I understand it but that's not an intuitive way for me to interpret it at all

[graceful cosmos]

f(1,0) = (1,0)
Ergo (1,0) is an eigenvector with λ = 1

Yeah I had to stare at the answer to make that make sense

[spring salmon]

tysm

.close

[devout snow]

Channel closed

Closed by @spring salmon

Use .reopen if this was a mistake.

[potent tusk]

nahhhhhhhhhhhhh

so tuff

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[odd dew]

I'm doing the problems for calculus and I'm just having trouble understanding how we get to the answer. I know that we are going to get an inverse trig function and I know what the answer is, I just don't understand the work

[umbral trench]

hiaverage mitski fan

cool name

id be happyt to help

[odd dew]

Haha tyyy

[umbral trench]

are you struggling with 15,16 or 17

[odd dew]

All of them 💔. Those are the only 3 out of all my work that I'm confused on

[umbral trench]

ok i gotcha

[odd dew]

I have the answer for all 3, i just don't understand how we get to it, if that makes sense

[umbral trench]

they all go off the basis of inverse trig, so like this table

[odd dew]

Uh huh

[umbral trench]

idk if ill do a good job explaining it, but youre gonna go through the various substitution methods to try and make ur integral look as close to that as possible

[odd dew]

I was doing that and I tried two different methods, one of them was doing a direct formula and then I tried to do u-substitution

[umbral trench]

like for 17 u can just use usub and do u=9x^2
du=18x and you can reduce 3/18x to 1/6x

[odd dew]

I tried using these formulas but couldn't understand why I was doing certain steps

[versed vault]

do u know trig sub

[odd dew]

My teacher only taught us u-substitution

[umbral trench]

yeah thats usually how it is for apcalc

i only know usub i think you can do it w just that

[versed vault]

u wont understand the steps w/o trig sub tbh

[odd dew]

This is what my teacher did for #15 and I'm just confused?

[versed vault]

,rotate

[odd dew]

How did the 6/7 become 6sqrt7/7?

[versed vault]

ye teacher bugging by facotirng out the 7

lol

[umbral trench]

perchance is ur teacher burried at makeout creek

[umbral trench]

yeah ngl

[odd dew]

Is it bad?

[versed vault]

just a a=sqrt7

lol

[odd dew]

I wish she was buried somewhere FAR away..

[versed vault]

say a=sqrt7

and u=y

[odd dew]

Uh huh

[versed vault]

and bang ur done

pull the 6 out at the beginning

[odd dew]

So basically ignore what she's doing and just get to the inverse trig directly?

[umbral trench]

ok for any of these trig identity ones its easier yo think of it as a big function youre able to factor stuff out of

[umbral trench]

yeah lowkey

take out a six and 7

so you have 6/7 on the outside and you can work with the meat of the integal easier

[odd dew]

Mmm okay I get what you guys mean

[umbral trench]

so now with $1/(x^2/7 +1)$

[woven radish]

~~

[umbral trench]

i dont know how to use that thing

but you get it twin

ngl after a while of practicing these you'll just be able to see kinda what the answer is

[odd dew]

Okay waitt I high-key get it now