help-36

[tranquil pine]

a is fine

what about -a-c

[grim nebula]

a(a + c) = (-a)(-a - c)

[tranquil pine]

[grim nebula]

unsynchronised emote reaccs smh

[trail mango]

who is doing this

[tranquil pine]

okay i have one more dumb question

32^32^32 (mod 7)

why exactly do you do 32^32 (mod 6)

[grim nebula]

because fermat lived once

[tranquil pine]

but fermat tells you 32^6 = 1 (mod 7) right?

oh lmao

[grim nebula]

you just answered your own question

[tranquil pine]

i just realized that

well thanks @grim nebula @tranquil pine @trail mango @tranquil pine

(legalized mass pinging)

[trail mango]

i’m calling the cops

[drowsy epoch]

me too

[grim nebula]

im not

[trail mango]

it’s ok snow

[tranquil pine]

i'll thank you guys again

[trail mango]

2 people are calling them already

[drowsy epoch]

kizz us

[tranquil pine]

[tranquil pine]

i didn't help but thanks ig

[drowsy epoch]

do you play minecraft

[tranquil pine]

i mean give the answer immediately

[tranquil pine]

obviously

💀

[drowsy epoch]

😂

[trail mango]

ok but you’re not “not supposed to” find things by inspection

[grim nebula]

But that’s Inevitable… when he saw the method, the answer already appears…

[tranquil pine]

oh you have helpful ig you're right

[grim nebula]

(i am quoting the wise cogwheel)

[tranquil pine]

Wow helpful = trusted

[drowsy epoch]

rip slayla

[trail mango]

i am untrustworthy

[tranquil pine]

Time to farm the role

[trail mango]

i actually do not know if i can get helpful or not

[tranquil pine]

You're close right?

Active -> Helpful?

[trail mango]

no

[drowsy epoch]

it's her 1034th time to achieve it again

[trail mango]

i have been personally blocked from the role in the past

[grim nebula]

dw ive lobbied against your getting helpful

[tranquil pine]

💀 wait it resets?

[tranquil pine]

no, active -> very active, helpful is seperate

[trail mango]

and had it manually returned

[tranquil pine]

fr?

[trail mango]

and then got banned from server and lost it again

[tranquil pine]

💀 wtf? Why'd you get banned but then allowed back

[drowsy epoch]

too helpful

[trail mango]

but i do not know if the ban just reset my helpful progress to 0 or if i was also manually banned from helpful again

[tranquil pine]

[tranquil pine]

really?

[tranquil pine]

I've seen people without very active get helpful

I think

yeah

[drowsy epoch]

yeah

[tranquil pine]

helpful is completely seperate from the active roles

Wait they hand out helpful's? I thought it was automated

[trail mango]

i talked stuff the mods were not a fan of once in #chill

[tranquil pine]

relatable

[tranquil pine]

it isn't they have a spreadsheet so ig semi automated, but at the end of the day it is mod rewarded

[trail mango]

it is automated lol

[tranquil pine]

[drowsy epoch]

yes

[tranquil pine]

I feel like thanking you guys again

[drowsy epoch]

life goes on

[trail mango]

life goes on

sadly

[tranquil pine]

life goes on

[drowsy epoch]

not sadly

[trail mango]

sadly for me

[drowsy epoch]

whatever it is you got this

[trail mango]

exactly

all that keeps me going

[tranquil pine]

W "quote"

Now i just need nitro to replicate that

[trail mango]

[drowsy epoch]

i wanna thank you too

[tranquil pine]

Do more pigeonhole first

[drowsy epoch]

i am done

you perplexed me

[tranquil pine]

I be having dumb questions all the time

Allow it

[drowsy epoch]

haha no

[trail mango]

all that keeps me going is multivariable generating functions and being sexy

[drowsy epoch]

multivariable generating functions

[tranquil pine]

Regular generating functions is hard enough !

[drowsy epoch]

it's hard enough if you dont know what you are talking about hahaha

[tranquil pine]

I used it for combinatorics 💀

[drowsy epoch]

screw combinatorics

[tranquil pine]

Combinatorics is random

Everything is a bijection of some simpler instance

[drowsy epoch]

yea

whatever you mean

[tranquil pine]

Wow okay

[drowsy epoch]

😂

dont blame yourself

[trail mango]

[drowsy epoch]

i am not the brightest

[tranquil pine]

[tranquil pine]

not the lightest too?

Sexiness > brightness

Just so you know

if you're sexy you're automatically bright

[trail mango]

apparently i’m the lightest

[tranquil pine]

[drowsy epoch]

slayest

[tranquil pine]

slayla

that has a nice ring to it damn

slaykiz sounds dumb

this is improper use of a help channel

just saying

[trail mango]

yea yea

[drowsy epoch]

you must be fun at parties

[trail mango]

who cares

[tranquil pine]

Slayla already got banned once

[drowsy epoch]

it's all part to Kiz' education

[tranquil pine]

At least we get to experience it once too

Facts

[drowsy epoch]

all part of you needing help

😅

[trail mango]

banned, muted, stripped of helpful

i’ve seen it all

[tranquil pine]

You've been through everything

[drowsy epoch]

i was also muted once

[tranquil pine]

crazy

What's the nicest way to get muted?

[drowsy epoch]

ask for it politely

[tranquil pine]

Damn the mods are that nice

[tranquil pine]

type ",iam dying"

[drowsy epoch]

you're getting muted

[trail mango]

that’s not a proper mod dealt mute

[tranquil pine]

It feels different when somebody forces it on you

mmm

[trail mango]

so true

nope i will not make any bad jokes

[drowsy epoch]

your pfp

you are looking dangerous

[tranquil pine]

if it was up to me to have a pfp

it wouldn't be appropriate 😔

[drowsy epoch]

hahaha

you are just like slayla

[trail mango]

pfff when have i ever had an inappropriate pfp

[drowsy epoch]

pfff

when did i ever have one

pfff

[tranquil pine]

If you say that then i'm sure 😭 you've had it not too long before

[tranquil pine]

why don't you get one now

[drowsy epoch]

😅

[trail mango]

i actually don’t think i’ve ever had an inappropriate pfp

[drowsy epoch]

yea

[trail mango]

ok one featured my chest pretty prominently

[tranquil pine]

inappropriate pfps should be normalized

[trail mango]

but it wasn’t that bad

[tranquil pine]

[drowsy epoch]

https://tenor.com/view/box-gif-24792042

[tranquil pine]

let me guess it started normally then went to chest

then to ass

then to ...

okay i think i'm asking for a mute atp

[drowsy epoch]

😇

[tranquil pine]

anyway i feel like i need to thank you guys properly

one more time

andmake umukh happy by closing

[drowsy epoch]

thanks us eternally

[trail mango]

no that was the progression of my banners

not my pfps

[drowsy epoch]

[tranquil pine]

damn so i was right about the progression

my instincts r crazy

just not in math

smh

[drowsy epoch]

relax

[tranquil pine]

[trail mango]

[drowsy epoch]

[trail mango]

i have never used that emote before

[tranquil pine]

Adwni's having an influence on us

wut the hell is that emote

[drowsy epoch]

that's slayla

prime

[tranquil pine]

Oh wait is that one of the mods pfp?

[trail mango]

[tranquil pine]

Prime slayla

[trail mango]

no i’m not in my prime

[drowsy epoch]

yes you are

[tranquil pine]

You'll be in your prime soon enough

on your next ban

[trail mango]

i have a passive goal of not getting banned again

[tranquil pine]

I have a passive goal of coming across a cracked mathematician and mmm

[drowsy epoch]

seriously, why did you ever join this server

did you ever need help at math or some

[trail mango]

that’s my active goal

[tranquil pine]

to help us

[drowsy epoch]

she never helped me

[trail mango]

i like math so i join math server

[trail mango]

?

i did once recently

[drowsy epoch]

you gave up on my ass

[tranquil pine]

You never helped me

[trail mango]

lmaoooo

[tranquil pine]

[drowsy epoch]

frfrfrfrfrfrfr

[trail mango]

yea i remember now

idr why i gave up on you

[drowsy epoch]

it's okay

[trail mango]

i’m sure i had something else i had to do

but i can’t remember what

[tranquil pine]

Wow

[drowsy epoch]

you helped

thank you

[tranquil pine]

Poor adwni's

Now you owe me and slayla help

[trail mango]

i think my first message in the server was asking for help

[drowsy epoch]

pfff

[trail mango]

and i’ve asked some questions from time to time

[drowsy epoch]

i am the least person to ask for help

[trail mango]

but you’re helpful and i’m not

[drowsy epoch]

no

dont define your worth in terms of roles lmao

[tranquil pine]

smh you're helpful

but taking help from us peasants

[drowsy epoch]

most of the times

it be random people

who know shit

more than helpfuls

helpfuls are more like helpful in terms of quantity, most of the times they fail at quality

[tranquil pine]

wow defaming your own kind

[drowsy epoch]

hahaha

[tranquil pine]

so let me guess honorable is the actual helpful?

[drowsy epoch]

i am my own kind 👽

[trail mango]

amen

[tranquil pine]

i see like 10 people at best in the whole server w honorable

crazy

[trail mango]

no honorable is the role given to people who are super smart and gay and active in the advanced channels and social channels

no part of this is a lie

[tranquil pine]

I hope that is a lie in itself

[drowsy epoch]

https://tenor.com/view/sadhamster-i'm-just-a-baby-im-just-a-girl-gif-6922065524619966713

[tranquil pine]

Only gays are eligible?

Gah dayumm

[trail mango]

that’s like 90% of honorables

[tranquil pine]

waiting for the day you get honorable too

Prime slayla

[trail mango]

i am too straight and problematic and stupid

[drowsy epoch]

i agree until the last part

[tranquil pine]

Just max out your attributes on the "gay"

[drowsy epoch]

sometimes i felt

i would get revoked of helpful too

i never knew there was a helper lounge until SWR pinged me twice

i thought i was in trouble lmao

[tranquil pine]

damnn yall got a whole lounge of your own for shitposting

[drowsy epoch]

We discuss strategies relating helping.

I lied.

[trail mango]

i used to but now i’m maxing out on the straight attribute

[tranquil pine]

You have the right idea but you're just going in the wrong direction

[tranquil pine]

U gotta be the snitch and reveal to us the "secret"

actually tbh

[drowsy epoch]

sometimes i thought slayla hated me

[tranquil pine]

I can probably guess what's going on there

[trail mango]

[tranquil pine]

[trail mango]

why lmao

[drowsy epoch]

i once wanted her to ask what's happened and i thought i was blocked lmao

[tranquil pine]

💀

[drowsy epoch]

ah i remember

she saved my ass

in that lounge

[tranquil pine]

from?

[drowsy epoch]

getting trouble haha

[tranquil pine]

smh so you're why she got banned, muted, and basically everything that one could conceive

shameless helpful

[trail mango]

there is no honor amongst helpfuls

[tranquil pine]

Fr

Hopefully i got you guys to revoke the idea of calling the cops

[trail mango]

no i’m going to call the cops still

i can’t even remember what for now

oh yea

mass pinging

[tranquil pine]

Maybe i should thank you guys again

[trail mango]

ILLEGAL

[tranquil pine]

legalized mass pinging

[drowsy epoch]

thanks

only Austin got my back ⚔️

[trail mango]

i don’t think there is anyone in this server i hate

[tranquil pine]

How do i get you to hate me?

Do i keep spamming thanks slayla?

with the ping ofc

[drowsy epoch]

disagree with her

[tranquil pine]

good idea

[trail mango]

getting me to hate you is a tall order

[drowsy epoch]

slayla aint slaying shit

[tranquil pine]

bro suggested quadratic formula

[drowsy epoch]

Do you hate Ann

[trail mango]

no

[tranquil pine]

Please hate someone

Or do you just hide the fact that you do hate some people

[drowsy epoch]

@spare pilot

[tranquil pine]

Hilarious how they're actually active in the server lol

[drowsy epoch]

I know that someone

[trail mango]

i can maybe think of the closest person in this server i am to hating

you won’t be able to compete trust me

[drowsy epoch]

Austin

[trail mango]

no haha

[tranquil pine]

Let me guess

[drowsy epoch]

hayley

[trail mango]

???

[tranquil pine]

[drowsy epoch]

nah you sisters

[tranquil pine]

the closest person you're close to hating is probably your ex or something

who happens to be

either honorable or mod

[drowsy epoch]

in the server dude

[tranquil pine]

or you would name them

[trail mango]

i hate that this is pretty accurate

[tranquil pine]

I never miss

[drowsy epoch]

wut

[tranquil pine]

Actually i can narrow it down even further

[drowsy epoch]

now it makes sense

[tranquil pine]

I think they're honorable

[drowsy epoch]

now i know

[tranquil pine]

The way you described honorable

[drowsy epoch]

why layla did what she did

[trail mango]

[tranquil pine]

I'm yappin frfr

[drowsy epoch]

hahaha

hating your ex is like hating microwaved fries

nothing to hate just throw them away

[tranquil pine]

throw them away is crazy

wtf?

[drowsy epoch]

not literally but like

yea throw them

away from you

my poetic nature is unmatched

[tranquil pine]

Btw we've leveled up to level 2

In slayla's hate list

(My instincts tell me so)

[trail mango]

nope

[drowsy epoch]

instincts over a screen is crazy

[trail mango]

you are going down

you missed

[drowsy epoch]

haha

[tranquil pine]

I found the answer

The answer is to finish my plot about her ex

[drowsy epoch]

https://tenor.com/view/hello-kitty-sanrio-hello-kitty-sanrio-character-gif-8883962328908309641

fuck the world vibe

[tranquil pine]

fuck the world 😭

Ight i'm outtie yikess shit's so early

I'm so lazy though

[drowsy epoch]

hahahah

[drowsy epoch]

shut up

[tranquil pine]

https://cdn.discordapp.com/attachments/908076393198419988/1245003734346502195/IMG_7431.jpg?ex=66572b95&is=6655da15&hm=bd94c5a376f93a298545808fd4a8c3d33f54fc46203e6ea9ab3a046dd6d9cd94&

[drowsy epoch]

i hate when people good people talk themself down

[trail mango]

i never said anything about an ex lmaoooo

i am not a good person

[tranquil pine]

Wtf so i was wrong entirely?

[drowsy epoch]

womp womp

i still despise it

[trail mango]

no i said pretty accurate

that’s all i’ll say

[full halo]

wtf

[tranquil pine]

[drowsy epoch]

yeah austin is deep in shit

[tranquil pine]

we got sherlock up in dis bih no kyapppppp

[drowsy epoch]

I will miz you kiz

[trail mango]

🕵🏻‍♀️

[full halo]

what

[trail mango]

invaders

[tranquil pine]

I will be back

[tranquil pine]

please stay on topic

[drowsy epoch]

hahahahhhaha

bro want to claim this thread for him

[full halo]

wtf

[drowsy epoch]

x > (3x+1)³

[trail mango]

this was a good channel

[drowsy epoch]

yes

[tranquil pine]

and all good things come to an end

[trail mango]

noooooooooo

[drowsy epoch]

no

[tranquil pine]

[drowsy epoch]

is it ok

If

I

[trail mango]

yes

[drowsy epoch]

👉🏻 👈🏻

[tranquil pine]

yes

[trail mango]

no

[drowsy epoch]

it's okay

[trail mango]

yes

[drowsy epoch]

only because i got helpful lmao

[trail mango]

[drowsy epoch]

oh nvm hahah

[tranquil pine]

what

[trail mango]

i am confusion

[drowsy epoch]

i thought you declined when you said no

haha

[trail mango]

[tranquil pine]

what

[drowsy epoch]

the friend req

[trail mango]

i was just being silly

[drowsy epoch]

.solved

[final saddle]

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[exotic solar]

Let be the set of sequences defined by the following recurrence expression :
$U_n=\frac{2-(2+5U_n)\cdot(-1)^{U_n}+7U_n}{4}$ .

Express $U_n$ in function of $U_0$ and n for all n positive integers and all $U_0$ positive integers.

[soft zealot]

Roi H. Clem

[final saddle]

@exotic solar Has your question been resolved?

[final saddle]

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• 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.

[feral siren]

can someone help me with this please

[feral siren]

cus the diagram i drew

is way different to the one in the answers

This is mine

Why is Vx perpendicular to the plan?

[final saddle]

@feral siren Has your question been resolved?

[final saddle]

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• 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.

[wet drum]

I solved it

I found log(cot(x/2)

[valid linden]

Can i check your answer

How you solve?

[final saddle]

@wet drum Has your question been resolved?

[wet drum]

Log(1+x)/(1-x)

@valid linden

[valid linden]

Why

[wet drum]

What??

Because of the pattern given to us

[valid linden]

Oh

You right

Ma bad

[final saddle]

@wet drum Has your question been resolved?

[final saddle]

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

[crimson river]

Hi i need help because i dont know if i did the math exam right, one of the question was something like: Calculate the volume of a prism with a rhombus of side 8 cm and height 5 cm. The height of the prism is 10 cm

[crimson river]

I translated it from my language so i dont know if its right translate

[vocal forge]

do you know how to calculate area of rhombus?

[final tangle]

show what you did

[final saddle]

@crimson river Has your question been resolved?

[crimson river]

I did Vg: 40cm x2 + 320cm

[final tangle]

how are you getting those values, what formula are you applying

[crimson river]

I did first base are of rhombus: 8 cm x 5 cm then i took those 40cm2 multiplied it by 2 and i added 320cm side field ( 8cm x 10cm x 4 ) (total field: Base field x 2 + side field) and that gave me 400cm2

Vg = 40cm2 x hight (10cm)

[final saddle]

@crimson river Has your question been resolved?

[final saddle]

@crimson river Has your question been resolved?

[final saddle]

@crimson river Has your question been resolved?

[final saddle]

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[final saddle]

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Remember:
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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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• 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.

[tranquil pine]

A,B,C,D and six other people are asked to stand in a queue, but A must stand before B, B before C, and C before D. What are the number of such possible queues?

[tranquil pine]

<@&286206848099549185>

[lavish surge]

7! ways acc to my calculations

[clever knoll]

6! x 7

[tranquil pine]

Wrong, becaue abcd need not be together, just their order matters

[clever knoll]

..

a ic

[tranquil pine]

ans is 10!/4!

[lavish surge]

k that works

[tranquil pine]

yeah how they got to that ans

?

[lavish surge]

well the numerator part is obvious

[tranquil pine]

denominator?

[final saddle]

@tranquil pine Has your question been resolved?

[final saddle]

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

[jagged flare]

hey what is a vertex in parabolas?

[jagged flare]

i need to find the vertex of the equation 4x^2-80x+410

is it the x intercept, or like the maximum, or something else?

oh wait nvm

.close

[final saddle]

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[jagged flare]

.reopen

[final saddle]

✅

[jagged flare]

what is the asymptote of the function f(x)=(-8)7^x+9

[surreal vault]

is this for a certain game on roblox

[jagged flare]

yah

wtf how do you know

[surreal vault]

think harder not smarter

[jagged flare]

what

infinity??

[surreal vault]

let me think

[surreal vault]

ok ill guess they want the horizontal asympote

[jagged flare]

what is a horizontal asymptote

like x=0?

[surreal vault]

no

search it up on google if you want

[jagged flare]

oh

[surreal vault]

i dont know how to get the asymptote of a function but i know how to solve that problem specifically

basically imagine if x approaches negative infinity

then 7^x would approach zero right

[jagged flare]

yea

[surreal vault]

ok then that would mean

(-8)(7^x) would approach zero

[jagged flare]

when x approaches infinity f(x) approaches 9?

[surreal vault]

negative infinity

yes

[jagged flare]

uh ok

yea its correct

thx

[surreal vault]

see im so awesome

i guessed your problem and i also know that youre in grade 9 and playing math dco

close the channel when youre done

[jagged flare]

i wanna see if i have any more questions

fuck i lost my 11 strak :(

.close

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[tranquil pine]

math in roblox?

[tranquil pine]

or roblox studio?

[ivory vessel]

knowing that the math came from roblox is insane

[final saddle]

@tranquil pine Has your question been resolved?

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@tranquil pine Has your question been resolved?

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[vivid quartz]

okay

[vivid quartz]

if there is a triangle

let me find it rq

how do you do this because

how do you know which is O and A?

[feral ginkgo]

firstly, decide which angle are we interested in

[vivid quartz]

wdym?

[feral ginkgo]

there are 3 angles in a triangle

which angle are we using here

(suggested by the question)

[solar glade]

What do you mean O?

[feral ginkgo]

because O and A for the angle A and for the angle C are different (other way round)

[vivid quartz]

OHHH

[vivid quartz]

Opposite

[feral ginkgo]

opposite and adjacent

[solar glade]

Oh ok

[feral ginkgo]

so which one is it

[vivid quartz]

A?

[feral ginkgo]

yup

[vivid quartz]

im confused 😭

o

.

from tan A?

[feral ginkgo]

yes!

[vivid quartz]

https://tenor.com/view/jujutsu-kaisen-nanami-season2-nanami-kento-gif-7106596119470233912

[feral ginkgo]

now that we decided the angle A is what we are interested in, imma call that x just because adjacent A and angle A are annoying

[vivid quartz]

yeah

[feral ginkgo]

ok

[vivid quartz]

so would

AB be adjacent?

[feral ginkgo]

yes!

[vivid quartz]

so BC over AB?

[feral ginkgo]

yup

[vivid quartz]

THANK YOU RAHHHHHHHHHHHHHHHHHHHHHHHH

[feral ginkgo]

np

[vivid quartz]

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[verbal estuary]

whats the d up there??

[bright epoch]

oh, the integration's being done with respect to sin(x-pi/4)

it's like integrating dx/x^2

[bright epoch]

just make it one over 2(...)+1 followed by the d(...) if that helps

[verbal estuary]

yea

[fast arrow]

I feel like this is cursed

[verbal estuary]

the notation??

[fast arrow]

all about this honestly

[verbal estuary]

LMFAO

[bright epoch]

my advice is make an immediate substitution

[fast arrow]

what's even the implication of dsin

[bright epoch]

u = sin(x-pi/4)

[rapid helm]

d(sin(x-pi/4))= d/dx ( sin(x-pi/4)×dx

[bright epoch]

#help-36 message

[verbal estuary]

yea my thoughts, i just didnt understand wut the guy was writing

[rapid helm]

d(sin(x-pi/4))= d/dx(sin(x-pi/4)×dx = cos(x-pi/4) × dx

[fast arrow]

C U R S E D fr

[rapid helm]

Just replace d(sin(x-pi/4) with cos(x-pi/4)×dx

Now integrate wrt x

[verbal estuary]

right gotit

thanks

.close

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[verbal estuary]

.reopen

[final saddle]

✅

[verbal estuary]

wait a min but how did this happen?

[tulip coyote]

If you differentiate cos(x) - sin(x), you'll realise it's -(cos(x) + sin(x))

[verbal estuary]

you can do that?

bruh wtf

[tulip coyote]

Hence the - outside the integral and the d(...)

They're basically doing integration by substitution, but with cursed notation

[verbal estuary]

lmfaoo, they r subbing u = cos x - sin x?

aight thanks

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[tranquil pine]

can someone help me with

[tranquil pine]

5tanx x sex x ^ 4

i started by moving 5 out of the integral

[solar glade]

Dont use x like a product

[tranquil pine]

and then

?

what

oh yeah ill use the asterisk

my bad

but you get the idea

i took a u value of tanx

[rapid helm]

tanx=t and sec^2x dx = dt
And sec^2x= 1+t^2

[tranquil pine]

im tryna use U sub

well that is

a u sub

[solar glade]

Continue with what you did

Explain it

[tranquil pine]

ok but i will always remain with sec^2x

after

I cancel

with

dx = du / sex^2x or

use du = sec^2x dx

either one I will remain with u * sec^2x

so wtf do I do

[rapid helm]

Sec^2x =1 +tan^2x

[solar glade]

Because you have to prepare it

[tranquil pine]

wait my brain is shit

nvm

[solar glade]

Before choosing the sub

[tranquil pine]

nah sex^2x is a standard integral

so it will just become tanx

[solar glade]

What sub u want to do?

[tranquil pine]

you dont need to do that

bceause actually

you do need to do that

u are correct sir

wait

do you get (5u/2 * u) * u - tanx + C?

@solar glade

[solar glade]

You cannot get in terms of u and x at the same time

[tranquil pine]

yh typo

[solar glade]

Also, i want to see the process, not the answer

Take a pic of your work

[tranquil pine]

bro im lost

[solar glade]

You have to get the integral of 5 * tan(x) * sin(x^4)

Correct?

First, what sub you want to try? Because you can do this in different ways

[tranquil pine]

i got this

u = tanx

is what im using

and my fucking phone just died

great

@solar glade

@rapid helm

where am I going wrong

like idk why this question is pissing me off so much

[solar glade]

So tanx=u

[tranquil pine]

yes

im doing everything right no ?

[solar glade]

Change sinx with tanx/secx

[tranquil pine]

sinx?

[rapid helm]

You forgot the tanx

[tranquil pine]

where

[rapid helm]

tanxsec^2x = tanx(tan^2x +1)

You forgot tanx here

[tranquil pine]

i thought sec^2x was = to tanx + 1 that's why

@rapid helm that's still not the right answer

tho

i would just get 5tanx^ 4 /4

+tanx + c

which is not what they got at all

this is what they got

im gonna go insane

[rapid helm]

tan^2x/2

Integration of u is u^2/2

[tranquil pine]

but its 1

not U

[rapid helm]

Simplify this

[tranquil pine]

we get tan^3x + 1 bro

oops

Yeah that makes sense i did some dumb shit in my head and thought it would be tan^3x + 1

tan^3x + tanx

yeah but that's still not the right answer even then

@rapid helm

[rapid helm]

How will this not give the right answer

Send your working

[tranquil pine]

this is the right answer

my answer is the same as yours when i corrected the issue

but this is the correct answer

[rapid helm]

What are the limits?

[tranquil pine]

feta and 0

[rapid helm]

You need to find theta?

[tranquil pine]

yes

you just work backwards

with the answer they gave you to the integral

like the area under the curve they give you

but my question is how tf do I pick the best u sub always

and why is my answer so different from theirs

[rapid helm]

What is the answer

Value of theta?

[tranquil pine]

pie / 4

ur probably tryna check if it will be the same answer ik

but im not doing allat

iirc you had to multiple the u things by the limits

but idk

and how would that even work in this question

since you don't have the limit

@rapid helm

this question will forever be a mystery

ngl its probably the same thing in different form which idk how would even work but it fucking must be

<@&286206848099549185>

[lavish surge]

Yea

[tranquil pine]

Can you read through the most recent parts pls

[lavish surge]

K wait

[tranquil pine]

I’m rlly stuck

[lavish surge]

U want to slove the integral right?

[tranquil pine]

i already solved

but it's not the right answer

[lavish surge]

What did you get

[tranquil pine]

5tanxsec^4x

is the integral

I got

(5tan^4x/4) + tan^2x/2

they got this

[lavish surge]

Yeah

[tranquil pine]

how do i find the optimal u sub

i used u =tanx here

[lavish surge]

That's coo

Correct

U get sec²x left that ntg but 1+u²

[tranquil pine]

?

it's u^3 + 1 integrated

which gives you that when you're done with it

but dont you have to multiply the us by the limits

or smth

@lavish surge

[lavish surge]

Hello

[tranquil pine]

?

[lavish surge]

Yes

[tranquil pine]

why are you trolling

you didn't answer any of my questions

at all

[lavish surge]

I don't think u have to do any limits

[tranquil pine]

aside from that man

[lavish surge]

Sry my bad I had to go somewhere

What else is the problem

[tranquil pine]

what i wrote above

[lavish surge]

U mean this?

Bro just leave it i think neither u nor me are understanding each other rn

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[tranquil pine]

What year is that

2?

[final saddle]

@brisk raft Has your question been resolved?

[brisk raft]

yes

<@&286206848099549185>

[brisk raft]

ion think anyone knows how to do this 😭

[ancient current]

For the first question question

What do you think?/what have you tried?

I’m talking about (a)

[ancient current]

If I had asked you the range of this function, what would you answer?

[final saddle]

@brisk raft Has your question been resolved?

[brisk raft]

aah well it would be -1 < f(x) < 3 no?

[ebon void]

It does appear that the graph touches these two points

[ancient current]

Yes! That is correct ✅

but also consider that as cewkins said, the graph in fact does reach the points 3 and -1

so they should be included as well

so the Range: [-1, 3]

I hope its not annoying that I’m giving you examples on this topic but you gotta know some stuff for solving your question, find the range of this function and tell me

[brisk raft]

ahh yeah, my issue wasn’t the range but more so the form i need to get the dervritive in

[brisk raft]

-1 to 1

[ancient current]

ohhh

[ancient current]

Yes!!!

ok then let’s solve (b) cuz that’s what you probably having trouble with!

what’s the first step of taking the derivative of that function

what does it look like?

does it look like taking derivative of uv?

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[vague basin]

.close

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[brisk raft]

well the d/dx was correct, however getting it into the form confuzzled me

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@brisk raft Has your question been resolved?

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@brisk raft Has your question been resolved?

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@brisk raft Has your question been resolved?

[sinful flume]

.close

[hybrid heath]

.close

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[hybrid heath]

@brisk raft did you actually have a question?

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[stark apex]

Help

[final saddle]

@stark apex Has your question been resolved?

[final saddle]

@stark apex Has your question been resolved?

[brisk raft]

well i did have a question, two infact because their wasn’t a mark scheme to consult. but no one was able to answer i guess.

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[lyric lichen]

How do I solve this problem?

[cedar linden]

This one is just asking about log properties. Basically they come in sets of 3 each with one correct answer for what you want. I recommend reviewing notes as this is important to have memorized but can offer more help if needed.

[lyric lichen]

I am just looking for anything that has the values greater than 0?

I am not sure how to find that

[cedar linden]

No we are assuming x is greater than 0 because otherwise the log function isn't defined. Actually not super relevant to your question it's just a formality.

So for example recall that for the first set of 3, if you have log(xy) = log(x) + log(y) just by log rules. Similar rules apply to the others as well. It's just asking for the rule.

[lyric lichen]

what is the rule?

[cedar linden]

So log(xy) = log(x) + log(y)
Likewise, log(x/y) = log(x) - log(y)
Lastly, log(x^c) =clog(x)

Heavily recommend you commit these to memory since as you are working these out now they will come up in future questions!!

[lyric lichen]

Okay sure thing

Ill screenshot this to memorize

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[woeful gull]

Yo can someone help me out with this question. Teacher aint teachin

[smoky narwhal]

denote x as price of ornament and y as sold

with this, we can make the statement
that for every 0.5 increase in x, 20 more with be added to y

a) 120 -40(x-4) = y
b) revenue = total sold * selling price
revenue= xy
R(x) = x(120-40(x-4))
R(x) = -40x^2 +280x

c) graph and find maximum revenue output
find vertex of parabola using -b/2a as x

if u cant graph, find derivative and set to 0
R'(x) = -80x+280
0 = -80x+280
x = 28/8 = 14/4 = 3.5

x = 3.50$ for a maximum revenue of 490$

@woeful gull

[woeful gull]

Ye

Im reading

[smoky narwhal]

get it or is this good

[woeful gull]

Where u get

40

[smoky narwhal]

bc 1 dollar decrease means 40 increase in ornament sales

[woeful gull]

Ohh

Holom lemme rewrite this on my paper

[smoky narwhal]

take your time

ping me if you need any more assistance

[woeful gull]

Ye ty sir

I got a question

@smoky narwhal

Uh

[smoky narwhal]

yes?

[woeful gull]

Since a is asking for

Expressions for

2 problems

Wouldnt there be 2

[smoky narwhal]

no, its asking for the equation if u had one plugged in
like what's the number of ornamends sold if there was this price

or vice versa, what's the price if the this number of ornaments were sold

[woeful gull]

Oh

I see

I just put (120+20x)(4-0.5x) before

[smoky narwhal]

ok?

[woeful gull]

dw im just reading the

[woeful gull]

this still

[woeful gull]

So for the b part

120-40 would be the total amount of ornaments sold

while x - 4 would be the selling price revenue?

[smoky narwhal]

x * y

y is the total ornament sold

x is the selling price

revenue is selling price * total ornaments

hence Revenue = x*y

[woeful gull]

ohh

I think I was doin it wrong because I put x as the number of times price decreased

and put y as the revenue

Ah well im learning it now

[smoky narwhal]

what math are you taking

[woeful gull]

This grade 10 math bruh

[smoky narwhal]

aint no way

[woeful gull]

💀

[smoky narwhal]

grade 10 as in alg 1

or like ....

[woeful gull]

Probably

[smoky narwhal]

ok good to get a headstart

bc ur class must be bamboozled

[woeful gull]

brother its my indian teacher thats bamboozling me rn

i swear ill write 1 note down and shes on a new concept

anyway

thanks again

[smoky narwhal]

np

[woeful gull]

.close

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[carmine kraken]

how do you simplify this

[keen schooner]

25n-25+70-->25n+45

[wraith merlin]

25n+45 -->5(5n+9)

[keen schooner]

sure that works too

[carmine kraken]

can you break it down

this is my main problems w sequences

[keen schooner]

multiply the brackets

[carmine kraken]

arithmetic simplifcation

so 70 + 25(n-1)

[keen schooner]

25x n and 25x-1

[carmine kraken]

what about the -1

do you multiply that

[keen schooner]

yes, see my mesage above, times 25

which =-25

[carmine kraken]

oh okay

so 70 + 25n - -25n

?

[keen schooner]

. Identify the Operation:

We have a set of parentheses next to a number, which indicates multiplication. This means we need to multiply the quantity (n - 1) by 25.
2. Choose a Multiplication Method:

There are a couple of ways to approach this:
Distribution: Multiply each term inside the parentheses by the number outside. This is the most common method.
Re-ordering with the Commutative Property: The commutative property of multiplication allows us to change the order of factors without affecting the result. We can rewrite the expression as 25(n - 1), which might make the distribution step more intuitive for some.
3. Distribute (or Multiply):

If using distribution:

Multiply 25 by the first term inside the parentheses (n): 25 * n = 25n
Multiply 25 by the second term inside the parentheses (-1): 25 * -1 = -25
If using the re-ordered expression:

The steps are the same as above, just with the factors in a slightly different order.
4. Combine the Results:

Put the results of the multiplication together: 25n - 25
Why Each Step is Important:

Identifying the operation: Ensures you're performing the correct mathematical action.
Choosing a method: Allows you to select a strategy that you understand and are comfortable with.
Distributing/Multiplying: Actually carries out the multiplication operation.
Combining results: Presents the final, simplified answer.
In Summary:

(n - 1)(25)

= 25(n - 1) (Commutative Property of Multiplication)
= 25n - 25 (Distributive Property of Multiplication)

[carmine kraken]

chatgpt script lol

not what I am after

[keen schooner]

Welp i dont know how I could explain it any more simply than I did already

it's all there

[carmine kraken]

.close

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[ancient current]

These are the stuff that can be factored

then we factor out 2xe^-(x^2)(2x^2-3)

the rest should be clear, the thing your question asked ( I mean 2x(2x^2-3)e^-x^2) is the same as the blue thing shown here

[brisk raft]

thank you so much

life saver

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[ancient current]

❤️

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[tranquil pine]

how to solve c?

[tranquil pine]

<@&286206848099549185>

@vocal gale

[vocal gale]

?

[tranquil pine]

can u help me out in c?

@vocal gale

[vocal gale]

im about to sleep but what is your idea on how to proceed

[tranquil pine]

no idea

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[tranquil pine]

Consider a signal $\7xn$ whose unilateral $z$-transform is $\6\XXX z$. Show that the unilateral $z$-transform of $\7yn=\7x{n+1}$ may be specified as [
\6\YYY z = z\6\XXX z -z\7x0
]

[tranquil pine]

this feels almost analgous to what u have with laplace transforms

what is the link exactly?

The unilateral $z$ transform is defined as [
\6\XXX z = \cm\ZZZ{\7xn} =\sum_{n=0}^\infty \7xn z^{-n}
]

[final saddle]

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[steel kite]

how do i solve this

[junior radish]

Show your work

[steel kite]

well i have no working but

would i just multiply by

-4i

?

if so then thats easy lol

[junior radish]

Yes

[steel kite]

$\frac{1}{16}(-8-8i)$

[soft zealot]

pixel

[junior radish]

Right

[steel kite]

im assuming simultaneous equations?

wait no

expand first

right?

.close

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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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[hazy laurel]

HELP please

[patent sleet]

<@&286206848099549185>

help him out eyy

[hazy laurel]

https://tenor.com/view/folded-hands-emoji-funny-animals-gray-cat-cute-pwease-gif-14039745

[solar glade]

What have u tried?

@hazy laurel

[hazy laurel]

first put in exponential form

then square