help-0

[prime nebula]

This

There isn t n-1?

At 8

A wait no

My bad

[rancid trail]

allg

[prime nebula]

Yeah man it s done

Thanks

[rancid trail]

:> happy to help

[prime nebula]

.close

[lone heart]

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[karmic breach]

@prime nebula

[prime nebula]

Tf

[rancid trail]

YO WHAT

THAT LEVEL OF MATH IS TOO INSANE FOR ME

[uncut surge]

use fundamental theorem of calculus

it should do the trick

[rancid trail]

nah man it wont work here

[prime nebula]

Use fundamental theorem of brainrot

[prime nebula]

Tag helpers for this💀

[karmic breach]

bro my stomach is going to expload

[patent vale]

boii ts is so tuff

[jagged cobalt]

.close

[lone heart]

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[coarse tinsel]

hello

[coarse tinsel]

i want help in a lot of ss and i need help with it

ai is not helping 🙏🏻 😭

[vale wigeon]

!nogpt

[lone heart]

Please do not trust ChatGPT or similar AI tools for mathematical tasks, as they often generate output which "sounds correct" but has numerous factual or logical errors. Use of these AI tools to answer other people's help questions is strictly against server rules (see #rules).

[vale wigeon]

anyway you will have to post your questions here one at a time

[coarse tinsel]

so now i will post them right?

[vale wigeon]

yes

[coarse tinsel]

alright

[vale wigeon]

and in principle when you open a help channel your first message is supposed to be your question

[coarse tinsel]

alright my bad

[vale wigeon]

oh dear, the right to left alignment...

[jagged cobalt]

painful indeed

[vale wigeon]

ok so to make that a bit more readable:

yasmine wants to buy a new computer. there are two payment plans on offer:

• plan 1: pay 1000 dinars upfront, then 200 dinars every month
• plan 2: pay nothing upfront, but 300 dinars per month

you're asked to find the total amount paid after x months under each payment plan

and then presumably graph both equations and see where they intersect

[coarse tinsel]

so what i gotta do right now?

[vale wigeon]

step 0 is to tell us your progress

[coarse tinsel]

im trying rn to answer like right

and know how to solve it

[vale wigeon]

ok so you haven't done anything on your own yet, got it

[coarse tinsel]

ye

[vale wigeon]

so let's start with the second payment plan cause that's actually easier

[coarse tinsel]

alright

[vale wigeon]

you pay 300 dinars per month, and do this for x months. how much do you pay in all?

[coarse tinsel]

300x?

;-;

dont worry im so dumb at math

i got -F

[vale wigeon]

yes, 300x. can you not beat yourself up like this please? it doesn't do us any good.

ok

now the first payment plan

you pay 200 dinars per month, similar to plan 2. but now there is an extra initial charge of 1000 dinars.

how much do you pay after x months?

[coarse tinsel]

1200x?

[vale wigeon]

no, that would mean paying 1200 every month

the 1000 is paid only once

[coarse tinsel]

alright

[vale wigeon]

so try this again

[lone heart]

@coarse tinsel Has your question been resolved?

[lone heart]

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

hello

[austere echo]

i need help with my math

its about circles

[prime nebula]

Say

[vale wigeon]

you should send the question right away

[austere echo]

ok

[vale wigeon]

!da2a

[lone heart]

No need to ask “Can I ask…?” or “Does anyone know about…?”—it’s faster for everyone if you just ask your question! See https://dontasktoask.com/

[austere echo]

iInterior Intersection Theorem

i cant understand it properly

...

😭

[vale wigeon]

so you want to know how to prove the theorem?

or how to apply it to some practice question?

[austere echo]

prove the theorem

[vale wigeon]

ok, have you made/reproduced a diagram?

[austere echo]

no..

[vale wigeon]

begin with that then

[austere echo]

how...

[vale wigeon]

ok let's maybe go one step back

can you STATE the interior intersection theorem?

not prove but state. like what does the theorem say

[austere echo]

If two chords intersect in the interior of a circle,
then the measure of each angle is one half the sum
of the measures of the arcs intercepted by the
angle and its vertical angle.

[vale wigeon]

ok

so

what do you think our diagram will have to contain

[austere echo]

chords that intrsect

[vale wigeon]

and before that?

a chord never exists on its own

[austere echo]

circle?

[vale wigeon]

yes

so draw a circle

and draw two intersecting chords inside it

also put down a point as the center of the circle

and give names to all relevant points

[austere echo]

ok

[vale wigeon]

once you are done with your diagram, send a picture of it here

[austere echo]

ok s9rry can we c9ntinue tom

my paerents told me to cook food

sorry

[vale wigeon]

well ok ill let you cook

don't expect me specifically tomorrow tho

[austere echo]

ok

[vale wigeon]

you can close for now

[lone heart]

@austere echo Has your question been resolved?

[lone heart]

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[lilac dome]

Question: The volume of a cube is increasing @ 8 cm³ per second.How fast is the surface area Increasing when it's side length is twelve centimeter.

[lament wyvern]

can you make an equation for the rate of volume change

[lilac dome]

i solved it. i want to check if my solution is correct
i lost my solution manual

[lament wyvern]

ah, that's easier then

[lilac dome]

i got dC/dt = 8/3 cm²/s

where C represents the surface area

[lament wyvern]

no...workings or anything?

[lilac dome]

ofc i did my work

is that gpt?

isn't that against the rules 😭😭

thanks btw

hahah okay

.close

[lone heart]

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[digital mural]

How would you guys integrate f(x) = 1+ sqrt(9-x²)

[tight pier]

trig sub

[digital mural]

What

[tight pier]

I would integrate f(x) using a trigonometric substitution.

[digital mural]

Idk how that works

Trigonometric substitution

[tight pier]

Do you know how u-sub works?

[digital mural]

Yes

[tight pier]

Well trig sub is u-sub but with a trigonometric function

[digital mural]

I got a weak idea

That is the “theta” that u’ll use

I got it

Thank you

I watched a tutorial

.close

[lone heart]

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[wind heron]

If there is a string on a rough pulley with no mass, why tensions on string on the left of pulley would be different to the right side?

[round burrow]

Yeah, sure 🙂
https://i.imgur.com/bxDje6z.png

[ocean whale]

Because of friction since it's a rough pulley

[lone heart]

@wind heron Has your question been resolved?

[rich light]

theoretically, if the string were to have no mass, there would be no friction. The string technically has enough mass to exist and provide friction, tension, etc , but not enough mass to be affected by gravity or other forces

just a result of bad wording

[lone heart]

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[ruby rover]

I need help with this question

[vale wigeon]

do you have the beginnings of a sketch?

a set of axes perhaps?

[ruby rover]

Nope 🥲

[vale wigeon]

well you will have to at least draw a set of axes.

[ruby rover]

I’m not sure where to start

[vale wigeon]

i am telling you the starting point

[ruby rover]

Ohh

[vale wigeon]

draw an x and a y axis

you need to have this at least

especially bc it tells you outright you need to mark the x- and y-intercepts

(and you will have to work out where those are!)

[ruby rover]

I see, thank you😁

[vale wigeon]

is that enough for you to continue on your own or should i wait for you to show your progress here?

[ruby rover]

I think I’m able to understand it from her tysm!

Here*

[vale wigeon]

ok

[lone heart]

If you are done with this channel, please mark your problem as solved by typing .close

[ruby rover]

.close

[lone heart]

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[lone heart]

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[tardy drift]

,w plot z = 1.5 * exp(-((x-1)^2 + (y-0.5)^2)) + 0.6 * exp(-((x+1.8)^2 + y^2)) - 0.3 * exp(-(x^2 + (y+1.5)^2))

[ocean seal]

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Requested by gigachad7016

[sharp stag]

.close

[lone heart]

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[tardy drift]

,w plot z = 2 - 0.5(x^2 + y^2) + exp(-((x^2 + y^2 - 0.3)^2) * 10)

[ocean seal]

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[tardy drift]

,w plot z = 2 - 0.5(x^2 + y^2) + exp(-((x^2 + y^2 - 0.3)^2) * 10) + 1.2 * exp(-((x+1)^2 + y^2)) + 1.2 * exp(-((x-1)^2 + y^2))

[ocean seal]

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[lone heart]

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[fast vessel]

hey

[fast vessel]

so i have a little misunderstanding

in this problem

DO we calculate the sum of the row 1 and 3

or row 1 2 3

tldr i dont understand if we calculate row 1,3 or row 1,2,3

[lone heart]

@fast vessel Has your question been resolved?

[charred flint]

all the sums there are 1+2+3 yea

[lone heart]

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[chilly copper]

How would I go about proving this question?

[charred flint]

I guess you can do casework but it's seems fastest to write stuff as x=int+fraction, y=int+fraction

[chilly copper]

so, x=⌊x⌋+{x} and y=⌊y⌋+{y}?

[charred flint]

yea

it'll get rid of all the large integer parts and you'll be left with fractions betweeon 0 and 1 that you can reason with

[dire gazelle]

but you'd need a way to get ceiling rather than floor

we can do this\
$\lceil x\rceil + \lceil y\rceil\geq x+y$\
$\lceil x\rceil + \lceil y\rceil-(x+y+1)\geq -1$\
$\lceil x\rceil + \lceil y\rceil-\lceil x+y\rceil > -1$\
because $\lceil z\rceil < z+1$

[ocean seal]

Axe

[dire gazelle]

this gets you halfway

[chilly copper]

I got it thanks

.close

[lone heart]

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[lone heart]

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[feral drum]

how do i find the equation

[broken pivot]

If a polynomial has a root at x = c, then it has a factor x - c

Can you use this on the given roots: x = 2, x = 0, x = -4

Then we'll deal with multiplicities

[marsh hamlet]

Multiplicity gives the degree of each factor

Even multiplicity means that the factor has an even degree (that is not 0)

Odd multiplicity means the factor has odd degree (that is not 1)

Try to match it

[feral drum]

huh

i dont understand any of that

[marsh hamlet]

In short

[marsh hamlet]

Focus on this for now

[broken pivot]

Can you start here #help-0 message

[feral drum]

huh?

[broken pivot]

If a polynomial has a root at x = c, then it has a factor x - c

• for the root x = 2, what is c? and from that, what is your factor?

[feral drum]

what is c? and what are factors

[marsh hamlet]

You know quadratics?

[feral drum]

kinda?

[marsh hamlet]

Hmm

You learned factoring quadratic?

[feral drum]

idk the names for stuff

i only really understand how to deal with polynomials on a graph

[marsh hamlet]

Oh ok

Well let me introduce you then

Very basic start

You know linear equations?

[feral drum]

ok what does of the is/are mean

is that even english?

[marsh hamlet]

Horizontal intercepts are roots

Just to let you know

[marsh hamlet]

One or more

[feral drum]

what are the 0s?

[marsh hamlet]

(Zeroes are the same as horizontal intercepts which are the same as roots)

[feral drum]

why does it want them twice?

[tight pier]

just say x-intercepts💀

[marsh hamlet]

I am trying to teach him with wording familiar to him

[marsh hamlet]

Zeroes are the actual x-coordinates of the horizontal intercepts

[feral drum]

nah horizontal intercept is NOT what we use in class

oh ok

[vapid shuttle]

x intercept

Root

Zeroes

TFAE

[marsh hamlet]

Oh ok

What you use then?

[feral drum]

i put 1 instead of -1

[marsh hamlet]

Yeah you did

[feral drum]

😭

[marsh hamlet]

it is fine

We all make mistake

[feral drum]

half a point TT

.close

[lone heart]

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[lone heart]

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[lone heart]

Please don't occupy multiple help channels.

[clear jungle]

The only value of b is 3 (and thats the correct answer)

but 9 is not a valid digit in base 3

should i appeal that answer?

i think it should be no value of b

[north rover]

Technically speaking, it could "carry over" (since this was done in an algebraic manner), but conventionally, you're correct.

[north rover]

With the form given, yes.

[clear jungle]

thank you

.close

[lone heart]

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[livid sage]

<@&268886789983436800>

[livid sage]

yes you should definitely appeal

base 3 is most certainly not an acceptable answer here

[lone heart]

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[jade pond]

Troubling problem

still getting used to number theory but it seem's like you use hensel's lemma

but not too sure

or maybe quadratic recipricocity

[mental python]

maybe factoring?

[true rune]

what is the discriminant of the equation ?

x^2 -5x+3

[forest marsh]

n in Z > 1 ??

Just say N kekw

[mental python]

N \ {1}

[livid sage]

that's not N

[forest marsh]

Yeah

[true rune]

mdrr blud est malvoyant

[livid sage]

@jade pond begin here

[jade pond]

for what puropse

[mental python]

if discriminant >= 0, then there is at least one solution

[jade pond]

I know there is at least one solution

[vale wigeon]

bad

[jade pond]

also if the determinant is less than zero there can still be multiple solutions

[vale wigeon]

on two counts

[forest marsh]

You know youre in trouble if snow skull you

[vale wigeon]

discriminant* ?

[mental python]

ah fuck

[vale wigeon]

and in Z/nZ there is no such thing as positive or negative

[mental python]

its almost midnight guys

im tired, pls

[vale wigeon]

go sleep >:(

[jade pond]

I appreciate all the help tho

[mental python]

i need to finish smth though 😭

i should definitely log off of discord though

[vale wigeon]

well at least drop the help channels

[keen plinth]

the discriminant needs to be a quadratic residue

[jade pond]

hmm

[keen plinth]

you can QR it

[jade pond]

any chance you could explain that to me

[keen plinth]

it's just the quadratic formula

[jade pond]

But how does the discriminant relate to quadratic residues

[keen plinth]

well you're square rooting it innit

[jade pond]

I guess yeah

the discrimant is 13

so is it if 13 is a QR mod n then it has solutions?

[keen plinth]

seems sus

you should probably CRT first

[true rune]

since the discriminant is 13, the equation has solutions mod n iff 13 is a quadratic residue mod n

[keen plinth]

2 might not be invertible mod n

[true rune]

so iff 13 is a square mod n

[jade pond]

is there a name for this lemma

I haven't heard of this before

is it this

[true rune]

lemme see

yeah it’s that

[jade pond]

are there any conditions on p

cause normally when i see p i assume its prime

but it doesn't say anything about that

[true rune]

p is an odd prime number and p does not divide a

[jade pond]

hmm

so i can only use this to find prime values of n

and then after that can i use like CRT

[true rune]

CRT ?

[unreal jolt]

chinese remainder theorem

[true rune]

oh mb, i think you will use CRT

but it’s sure that you will have to use the quadratic reciprocity

[jade pond]

i have (13/n) but idk really what to do with this

pondering

Cause I have all the solutions mod 13

but do i know that this is all the solutions

[true rune]

with the legendre symbol ?

[jade pond]

I turned it to

(n/13)

and then solved that

Like i suspect its just the powers of 3

[true rune]

i have 1,2,3,13 but idk how to find the others 😭

[jade pond]

I got 1,3,4,9,10,12

but of thesethe only prime value of n is 3

[true rune]

yeah it works

[jade pond]

but then when i put these in as n it doesn't work

like there is no solutions mod 2

so there wouldn't be mod 4 either

[true rune]

only 1 , 3 and 9 works ?

[forest marsh]

1 ?

[keen plinth]

no

if you solve it mod 3, hensels lifts it to all powers of 3

it suffices to check mod p

[true rune]

oui?

[forest marsh]

Pour n ?

[true rune]

oui

[forest marsh]

Hmm

Z > 1

C'était

[true rune]

ça te donne juste l’équation x^2 -5x+3=0 nn?

[forest marsh]

They still say its for n > 1

[true rune]

what $\mathbb{Z}_{>1}$ means ?

[ocean seal]

tm

[forest marsh]

I would be surprised that its not what i thought

[true rune]

for me it’s N*

[forest marsh]

N* \ {1}

[true rune]

yes

mb

[forest marsh]

In that case n can't be 1

[true rune]

ok so 3 and 9 works 😭

[keen plinth]

every power of 3 works

[true rune]

yes by Hensel’s lemma ?

[keen plinth]

well yes

[true rune]

How do we know that there are no others?

[forest marsh]

.

[keen plinth]

QR, i haven't checked

[forest marsh]

This no ?

Its greater than the discriminant else

Wait

[keen plinth]

presumably 13 will give you a double root

[jade pond]

there are others

which is troubling

[true rune]

💀

i hate arithmetic

[jade pond]

Big dub for hensels its all powers of 3

and i assume that there are some straggler primes

[forest marsh]

And you still end up doing every channels talking about it

I start doubting you really hate it

[true rune]

i only like to help people 😔😔

[forest marsh]

Based

Get this man a green name

[true rune]

s/o futur professeur

[forest marsh]

S/o agreg

[true rune]

s/o développement au tableau ultra long

[true rune]

lemme check with a program

1,3,9,13,17,23,27,29,39,43,51,53,61,69,79,81,87

[jade pond]

woah

[true rune]

🥲

[forest marsh]

At least there are the three you found

[true rune]

it works for 3k, k in N*

[keen plinth]

mfw 6 = 3*2

[forest marsh]

No six

[true rune]

oops

[forest marsh]

12

15

[true rune]

my conjecture was wrong

[keen plinth]

CRT tells you how to combine the primes

QR tells you which primes

hensels lifts to prime powers

[jade pond]

just looking at the list tho

why dont combine any primes

[keen plinth]

well QR tells you only primes which are 1,3,4,9,10,12 mod 13 or 13 itself work

[jade pond]

ohhh

isn't that the entire question done then

[keen plinth]

well yes

[jade pond]

thanks

[keen plinth]

it's what i've been saying this whole time

[jade pond]

I was trying to complete the square and stuff

[jade pond]

yeah I had it written down but I just thought to myself 4 isn't prime

and then ignored it

my fault

[keen plinth]

4 is not prime

[jade pond]

i mean like 4 mod 13

[keen plinth]

👍

[lone heart]

@jade pond Has your question been resolved?

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[forest marsh]

First one seems good

[true rune]

no, you have only one value for x

[marsh hamlet]

3 (a) is good

[true rune]

ln is defined on ]0,+infty[

[marsh hamlet]

3 (b) is good

[sharp stag]

why?

[true rune]

.

[sharp stag]

oh

sorry didn't read

[forest marsh]

Oh indeed

[true rune]

np

try to find the positive one lol

[sharp stag]

,calc ln(3*((-3+2(sqrt(3)))/3)) + ln((-3+2(sqrt(3)))/3)+2)

[ocean seal]

The following error occured while calculating:
Error: Unexpected operator ) (char 52)

[marsh hamlet]

use ,w instead

Eh you don't eevn need it

consider ln(3x)

[sharp stag]

,w ln(3* ( ( -3+ (2*sqrt(3)) ) / 3 )

,w (ln(3* ( ( -3+ (2*sqrt(3)) ) / 3 )) + ln( (-3+2(sqrt(3)))/3)+2

yeah idk what I'm doing ngl

[true rune]

I think it shows that -1+2sqrt(3)/3 is positive and not -1-2sqrt(3)/3 😭

[sharp stag]

long story short, the negative one is the only answer?

[true rune]

the positive one is the answer

[sharp stag]

[true rune]

instead, ln(3x) would not be defined

[sharp stag]

okay bet

I'll make the adjustment and look into it more, thanks guys

[true rune]

np 👍

[sharp stag]

.close

[lone heart]

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[barren pumice]

so when asked to find concavity on 2nd derivative but the function turns into 1/(x+1)^2 what to do here?

[marsh hamlet]

Solve the inequality?

$\frac{1}{(x+1)^2}>0$ or less than 0

[ocean seal]

mathisfun

[buoyant saddle]

oh you’re green

[marsh hamlet]

huray

[barren pumice]

ok so found critical point

x=-1 dne

test points left and right of -1?

getting confused cus some graphs end at the dne wondering what tells me to not choose a test point left of the dne location

maybe u can get an idea what im asking here

two different functions on dne at -1
the other function dne at 0
so if i didn't have the graph in front of me, how do i determine to choose a test point before the dne point (red graph)

[coral flower]

log is undefined for all negative integers and 0

so u would just run into more problems if u choose a test point as 0 or before that

[barren pumice]

i think i figured it out

if i plug in -1 on the red it shows domain error on the calculator

meaning theres no graph beyond that point

is that correct?

[coral flower]

yeah , cuz ln(-1) is undefined , there is no real graph for that

[barren pumice]

thank u....

.close

[lone heart]

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[sharp stag]

what is going on here?

I thought these were easy problems but ig not

for a I just left it in form of x=log base 4 10

for b I just made 18 into 2^4 and solved 3x-4=4. idk what all this ln stuff is for

[jagged cobalt]

why do you keep trying to change bases

its not needed

[sharp stag]

?

[unreal jolt]

2^4=16

[sharp stag]

the photo I sent isn't my work, it's the key

if that's what you're referring to

[jagged cobalt]

ah, it was yeah

[sharp stag]

yeah I did that but in the key it doesn't do it that way

seems complicated for no reason

[unreal jolt]

16 != 18

[sharp stag]

,calc 2^4

[ocean seal]

Result:

16

[sharp stag]

bruh

,calc 2^5

[ocean seal]

Result:

32

[sharp stag]

okay my bad

but what about for a?

why use ln in that case

[jagged cobalt]

that step wasnt needed

[unreal jolt]

change of base isnt necessary

the main reason you would use it is if you lived in the 1800s and had a table of ln values

[sharp stag]

alright cool, thanks

[upbeat gorge]

Or if you have a crap calc that only accepts ln and log10

[unreal jolt]

or that

[upbeat gorge]

Which clearly this teacher has

[sharp stag]

lol

.close

[lone heart]

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[lone heart]

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[copper wadi]

I understand the intuition that I need to find a consistent system for b/c and an inconsisten system for a

Just blanking on how to do so

I know infinitely many will result in a free variable

So h = -1/3 and k = -2 for a?

I'm not exactly sure what you mean by that

ah I see

so /neq -2

[lone heart]

@copper wadi Has your question been resolved?

[lone heart]

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[acoustic python]

I’m so stuck on 7

[acoustic python]

i tried integrating and then solving for c and then plugging in 5 but it didn’t work

[wheat isle]

!show

[lone heart]

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

[acoustic python]

sorry image was uploading

i have missed a lot of class and am lowkey really behind…

[wheat isle]

,w integrate sqrt(x^3 +6)

[ocean seal]

Results provided by WolframAlpha

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

Requested by waterrbeam

[wheat isle]

Non elementary

[acoustic python]

i tried wolfram alpha

i see

[wheat isle]

So ur probably expected to use some other method

[acoustic python]

makes sense

do you know any other methods lol

[true rune]

you have access to a calculator ?

[acoustic python]

yes

[true rune]

if yes, according to fundamental theorem of calculus $f(5)=f(1)+\int_1^5 \sqrt{x^3 +1}dx$

[ocean seal]

tm

[acoustic python]

oh duh

lol

thank you

[true rune]

np lol i don’t see other method to calculate this 😅

[acoustic python]

.close

[lone heart]

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[fringe kite]

im forgetting how to do this. i know the y intercept is 4, the gradient is 1, but apparently the x intercept is 4. i got -4. im not sure where i went wrong

[fringe kite]

nevermind figured it out im a dunce

.close

[lone heart]

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[twin nimbus]

Not a dunce, just learning. Gj on figuring out the problem!

[lone heart]

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[leaden sable]

My whole family has a dispute about this, imagine a question asks for you to expand and simplify the equation. The equation being -2h(3+4h)-5h(h-1). Would you stop at -13h(squared)-h or take h as a factor and write h(-13h-1)?

[wispy plaza]

🗿

[gray isle]

use ^ to denote exponentiation
but in that context, just leave it expanded

[wispy plaza]

The most useless pedantic stuff I’ve ever heard

First one, if you’re taking derivatives or smth, 2nd if you’re find zeros to the equation

[gray isle]

its subjective and depending on what you're doing may be more ideal

if you're concerned just write btoh

[leaden sable]

Ok thanks

.close

[lone heart]

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[alpine sable]

can someone help me with solving an intergral

[lone heart]

Please don't occupy multiple help channels.

[zinc haven]

go on

[alpine sable]

basically im trying to solve this intergal

\int_{60}^{88.9}\left(0.00000136229x^{4}-0.000370009x^{3}+0.0306637x^{2}-0.853778x+7.27995+1.2\right)\ d

like. by hand

[mental python]

!original

[lone heart]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[buoyant saddle]

troll

[mental python]

wdym by hand?

[alpine sable]

someone else was helping me atm but he left

[alpine sable]

like algerbraically

bcs its supoet o match the calcuoort answer

but i did it and it doesnt match

[mental python]

!show

[lone heart]

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

[alpine sable]

bet

like i was trying to do 1 intergral seperatrly

[mental python]

why is it cut like that?

[alpine sable]

tbh idek

leme try again

ohh its bcs the math thing on word

the equation

[alpine sable]

i can show u the channel

where the preevous guy

was helping me

..

u there?

[buoyant saddle]

nope

[alpine sable]

[buoyant saddle]

cry

[alpine sable]

bru

[buoyant saddle]

bruh

[buoyant saddle]

pretty much what you want to do is

[alpine sable]

ye

.

[buoyant saddle]

yea you get the idea

[alpine sable]

wdym

nah but it was wrong

the answer is suppoes to be 103

and i got like 8 digits

[buoyant saddle]

yes that’s what i got

you must’ve made a rounding error or some shit bro

[alpine sable]

riu

[alpine sable]

wdyn

like

bcs im sure i did eveything 100% right

[buoyant saddle]

apparently not

slight rounding error

[alpine sable]

ohh alr do u know where abt

[buoyant saddle]

yea so just look right about

[alpine sable]

wdym

[buoyant saddle]

when you rounded

[alpine sable]

also when im calculoting it do i include like everything

or dont add the intergral sign

[buoyant saddle]

yea just do that

[alpine sable]

but i did that and i still got a way of answer

here lemne show my working for each one

gimme a few mins

back

[alpine sable]

hello?

@buoyant saddle

@mental python hello?

[buoyant saddle]

@alpine sable

[alpine sable]

yo

ill show the working i did

$$\begin{aligned}
&\int_{60}^{88.9}\left(x^{4}-x^{3}+x^{2}-x+7.27995+1.2\right) , dx \
&=\int_{60}^{88.9} x^{4} , dx - \int_{60}^{88.9} x^{3} , dx + \int_{60}^{88.9} x^{2} , dx - \int_{60}^{88.9} x , dx + \int_{60}^{88.9} 7.27995 , dx + \int_{60}^{88.9} 1.2 , dx \
&+\int_{60}^{88.9} 0.00000136229 x^{4} , dx \
&= 0.00000136229 \int_{60}^{88.9} x^{4} , dx \
&= 0.00000136229 \left[ \frac{x^{5}}{5} \right]{60}^{88.9} \
&= \left. \left(2.72458 \times 10^{-7}\right) x^{5} \right|{60}^{88.9} \
&= \left(2.72458 \times 10^{-7}\right) ((88.9)^{5} - (60)^{5})
\end{aligned}$$

[ocean seal]

Goat(Ninja)

[buoyant saddle]

yea rounding error

[alpine sable]

wait where

[buoyant saddle]

i’m looking at it

[alpine sable]

ye

[alpine sable]

so wherw abt

[buoyant saddle]

give it another look

i don’t want to give it away

[alpine sable]

alr alr bet

[alpine sable]

so is it like obvious to see it

[buoyant saddle]

yes

[alpine sable]

i dont see it

surley a hint

..

[alpine sable]

riuu

ikr

i cant see it tho

tbh

surely a hint

bru

surely

..

,,

bro

@buoyant saddle

surley

[buoyant saddle]

surley

[alpine sable]

bro i cant see it

surely js tell where is the rounding error

R5IUUUUUUUUU

bro

surelu

surely

wheres the rounding error at

BROO

@buoyant saddle surely

i actially dont know where

i got it wrong

[buoyant saddle]

what’s up

[alpine sable]

wheres the rounding error

[buoyant saddle]

dude

[alpine sable]

bro iv been looking

.

[coarse tinsel]

thats rouding error 🙏🏻

[alpine sable]

where tho

[buoyant saddle]

you’ve written it

wdym?

[alpine sable]

bro i dont see any rounding error

which line

[coarse tinsel]

try to get it bbg

[alpine sable]

RIUUUUU

iv been looking for 40mins

surely a hint

[alpine sable]

ayy salam

im muslim as well

[coarse tinsel]

nc

alr

[alpine sable]

wheres the rounding error

please bro

[coarse tinsel]

wait lemme do smth rq

ima give u the hint

wait rq

[alpine sable]

bet

bro

i sthe rounding eerror like yk the 299 supsoed to end in 300?

or nah

bro

where r u guys at

[coarse tinsel]

bbg wait im fighting with a mod

[alpine sable]

alr alr..

[coarse tinsel]

@buoyant saddle help him rq

[alpine sable]

surely

[buoyant saddle]

it’s between the third and seventh line

as a hint

i thought it was pretty obvious

[alpine sable]

i still dont see anything wrong............

bro

..

@buoyant saddle surely

bro i dont see it

..

..

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

bru

@buoyant saddle where u at

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

bru

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

Hi

[alpine sable]

yio

[alpine sable]

can u help me with this question

[mental python]

can you give the original please

!original

[lone heart]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[alpine sable]

apparently this isnt the correct answee

pr smth

[mental python]

this is not the original question

this is your working out

[alpine sable]

ohh leme brind it

\int_{60}^{88.9}\left(0.00000136229x^{4}-0.000370009x^{3}+0.0306637x^{2}-0.853778x+7.27995+1.2\right)\ dx

this

$$\int_{60}^{88.9}\left(0.00000136229x^{4}-0.000370009x^{3}+0.0306637x^{2}-0.853778x+7.27995+1.2\right)\ dx$$

[ocean seal]

Goat(Ninja)

[alpine sable]

im suppsoweed to solve this algeribrailcally

so i did each inetrgal seperatr

i did all of thse ones

[alpine sable]

soryr nvm

back

can i do anotehr question

$$\int_{55}^{60}\left(10.9\cdot\sin\left(0.099034x+1.86684\right)-5.5\right)dx$$

[ocean seal]

Goat(Ninja)

[sly mantle]

it may help to replace the ugly numbers by letters then plug them after

[alpine sable]

how tho

[sly mantle]

$\int_{x_1}^{x_2}(a\sin(bx+c)-d)dx$

[ocean seal]

𝓡𝓞𝓚𝓔𝓣𝓣𝓞─୨ৎ─❥ ♡ <𝟹❤

[alpine sable]

so do this first

[sly mantle]

once you get the result plug in the values of the letters

[alpine sable]

ohhh

but how do i get it tho

[sly mantle]

you need to learn or review integration techniques

[alpine sable]

cann u show me how

[sly mantle]

thats like teaching a whole math class. you should check khanacademy calculus course

[alpine sable]

alr do u know which vid

or js type it

[sly mantle]

https://www.khanacademy.org/math/calculus-1

[alpine sable]

cheers

[sly mantle]

integrals are unit 6 but you need to get thru all the previous ones first

[alpine sable]

alr be

tthanks

[sly mantle]

np

[lone heart]

@alpine sable Has your question been resolved?

[lone pumice]

I want difficult math problems for high school.

Where can I find such questions?

[silent snow]

buy cengage. black book by vikas gupta
either you will become a god or you will regret it

[lone pumice]

Thank you.

Any more suggestions?

[silent snow]

to master maths first you must master patience

thats it

[lone heart]

@alpine sable Has your question been resolved?

[velvet knoll]

Aops alcumus

[quick pumice]

guys i have a question
whats tan a - tan b in a right angles isocles triangle

where c is the right angle

[lone heart]

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

[hallow aurora]

what do u think about the question ? @quick pumice

[quick pumice]

ohhh

its the same triangle//

??

[hallow aurora]

this is the tringle in your question

[quick pumice]

ohh i thought it was a separate one

[mental python]

guys, this channel is occupied

go somewhere else

make your own channel

[quick pumice]

in that case the answer is 1 - 1 =0

[hallow aurora]

I saw 2 channels with goat ninja I thought he left this one sorry

[quick pumice]

shut up @mental python fucking anime girl pfp

[mental python]

regardless, theyre both still occupied by someone

[hallow aurora]

bro

this isn't nice

[mental python]

fuck off child

[quick pumice]

gfu bruh

BONK
what kind of a username is that

[hallow aurora]

there is still a chance to apologize to her @quick pumice

[quick pumice]

ok guys my b ad my cousin took my keyboard from me😭

[hallow aurora]

he said nothing wrong he just stated the fact we are in a wrong channel, it is fine

[quick pumice]

im really sorry for my cousins behaviour

[mental python]

she?

[hallow aurora]

the pronouns in your profile arent serious right?

right :))) ?

[mental python]

yes and no

[hallow aurora]

ooooh

sorry

[lone pumice]

Thank you.

[lone pumice]

Thank you.

[lone heart]

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[patent pulsar]

How can I use a formula to subtract 30 minutes from every day and add the total? I cant open Excel, idk why so im keeping my track on Google Drive. But i want to take away 30 minutes

[hushed locust]

you can add another column consisting of subtracting off a half hour of each day

and then sum that column

[lone heart]

@patent pulsar Has your question been resolved?

[lone heart]

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[crude parrot]

hello, i have a question about graph theory, specifically spanning trees. I have a problem that asks me to find the number of spanning trees a given graph has. I know that some graphs have to use n^(n-2) in order to get the number of spanning trees, however it doesnt work for this one and i havent learned another way of calculating this besides drawing out every possible tree, which is obviously way more work than i believe should be done for this type of question.

[crude parrot]

this is one of the questions i have to do. i am not asking for just the answer, but rather an explanation on how to go about solving this type of problem. thanks :)

[lone heart]

@crude parrot Has your question been resolved?

[lone heart]

@crude parrot Has your question been resolved?

[buoyant latch]

he who finds the number of subgraphs that

I think you can use combinatorial analysis

to solve this

[charred flint]

you're just counting them by hand here yea. it's fast because 1. is a loop where anything you do will look the same, and 2. tells you the casework, with the 2nd case being 2 loops that you might want to use multiplication for

basically find a few trees then see the pattern

[crude parrot]

i understand the first one but the second one is still a bit confusing

is there no formula to understand this without counting by hand?

like i also have this one

[charred flint]

there's a trick where if you can split the graph into sections, you can multiply the number of spanning trees they have

like getting rid of AF or AG doesn't effect the other triangles' connectivity

[crude parrot]

ah ok thank you i understand that part. but what do you mean exactly by "multiply the number of spanning trees they have"? like do i do 3 * 3 * 3 then because each triangle has 3 spanning trees?

[crude parrot]

i got #2 for this one by doing 4 * 4 - 1, because each square has 4 spanning trees and if i multiply them i get 16, and i take one away because there would be one duplicate

[charred flint]

uh it's like that but you also have to count the complete graph +1 and subtract 1 at the very end

like (3+1)*(3+1)*(3+1)-1 I think

[crude parrot]

why do you add one to the complete graph?

[charred flint]

because that triangle can be full but the others might be missing something

so that case still counts

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[charred flint]

except when they're all full

[crude parrot]

ah ok i kinda get that now

[charred flint]

like this sorta

[crude parrot]

.reopen

[lone heart]

✅

[crude parrot]

yeah that makes sense

but that still didnt get me the right answer, i put in 63 and it was incorrect

[charred flint]

hmmm

[sterile sentinel]

hi guys can someone help me out with construction of right-angled triangle
Im struggling to construct it when its given only the sides a+b and c

[charred flint]

ask in #help-38

[sterile sentinel]

thanks

[charred flint]

are you allowed to call the whole graph a spanning tree? if so try 64

oh nvm I forgot they have to be trees

so it's just 3*3*3 yea

no +1 -1 stuff

[crude parrot]

hmm weird, that was right. thank you for explaining that though. but why did i have to -1 for the split rectangle in the first screenshot i sent? is it because they share an edge?

[charred flint]

yea that -1 is from overcounting the shared edge

[crude parrot]

that makes sense

thank you so much for your help i appreciate it

.close

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[winter bridge]

Hey everyone!

I’m submitting a paper to arXiv (math.NT - Number Theory), but I need an endorsement from someone who has submitted at least 4 math papers in the last 5 years.

The paper explores structured prime gap predictions using recursive tensor models, Möbius topology, and harmonic wave analysis. It introduces a novel 6-cycle framework for prime emergence and has potential applications in number theory, cryptography, and AI.

If you meet the endorsement criteria and are willing to help, I’d greatly appreciate it! Feel free to DM me, and I can share more details.

Thanks so much for your time!

Apologies if this is the wrong place to start!

[pseudo ice]

(it is the wrong place to start try #math-discussion or #advanced-lounge maybe?)

[winter bridge]

Thank you so much! It is a funny nightmare because I have proven I can predict primes with 1:1 accuracy and even navigate hidden primes. But I never went through a good education system! I will try there! Thank you so much for your help!

[limpid turret]

Congrats btw

[winter bridge]

Thanks so much! My wife has no idea what I'm talking about and she has been the only person I could talk to! I don't think she understands what it means.

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@winter bridge Has your question been resolved?

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[toxic yoke]

I need help

[toxic yoke]

where did 2t go

wouldn’t it be t^2?

[pale kestrel]

from where to where

[hushed locust]

you can substitute u = t^2 + 1

[pale kestrel]

4t^2 taken out of the square root is 2t (noting t is non-negative here)

[toxic yoke]

no here

why did it disappear

when it changed to the anti derivative

[pale kestrel]

when u differentiate the bottom thing

u get a 2t from the chain rule

[toxic yoke]

hold on

I need to process this

[pale kestrel]

u can either do this to integrate

or you are spotting the primitive here

int f'(x)(sqrt(f(x)) dx

this is the form they spotted

[toxic yoke]

wouldn’t the derivative of the outside frinction

function

[pale kestrel]

what

[toxic yoke]

be 2 then?

f’(x)

[pale kestrel]

f(x) = x^2 + 1

[neon shuttle]

oof integerals

[pale kestrel]

f'(x) = 2x

[neon shuttle]

why dont you just u sub

[pale kestrel]

and yes that was mentioned earlier, but either work.

and are the same thing in the end

[toxic yoke]

so I set u = t^+1

[pale kestrel]

yes

[toxic yoke]

and du = 2t

ahh

ok

[neon shuttle]

leme try

[toxic yoke]

I get it now

ty sm

🙏

.close

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[idle temple]

ik this is extremely dumb but how do you integrate
sin7x

[woeful granite]

whats the integral of sine

[pale kestrel]

substitute u = 7x works

[woeful granite]

(you could even do basic u sub here if you know how)

yes

[marsh hamlet]

u-subsitution

You could even use ||imaginary parts||

But that is forbidden, black magic

[idle temple]

😭
i just started integration an hour agooo

[woeful granite]

okay maybe not u sub then

[marsh hamlet]

Uhhhh

I guess expand it

@idle temple Wait are you using a textbook or something

[pale kestrel]

im so confused

[idle temple]

i got till -cos7x

[marsh hamlet]

How can you encounter this integral without knowing u-sub

[woeful granite]

you want to divide by something so if you differentiate this you get sin(7x)

[idle temple]

but i don't understand why it is divided by 7

[pale kestrel]

you need to think of something that differentiates to sin7x then

[pale kestrel]

differentiate it and find out

[marsh hamlet]

Let me prove

$\dv{x}f(g(x))=f'(g(x))\cdot g'(x)$

[ocean seal]

mathisfun

[marsh hamlet]

Agree?

[idle temple]

yeah

[marsh hamlet]

Integrate both sides

[idle temple]

okay

[pale kestrel]

eh

what

i mean yes u can do this

[pale kestrel]

but easier just to ask them to differentiate what they think the answer is

and see that is not the integrand

[idle temple]

OOOOOOOOOOOOH

NOW IT CLICKEDDDDD

THANK YOU SOOOO MUCHHHH

@pale kestrel @marsh hamlet @woeful granite thank you soooo much it finally clicked 😭

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[fallow bolt]

I am currently doing factoring work, and I am having difficulty understanding this question in relation to finding an expression for a shaded area, specifically in factored form. The question displays a square and a hole, the hole is given a value, so is the outside square, I am expected to find the area of the square not the hole

[fallow bolt]

I attempted to expand and factor out, but it lead me to a dead end

[hushed locust]

can you show what you did so far?

[hardy creek]

big area - small area

[mild root]

might be stating the already known, but remember the lines mean the lengths are equal as well (all edges with one line are the same length, all the edges with two are the same length as the other two lines etc)