help-27

[feral cairn]

I didnt quite understand the tip.
And if I tried to solve this equation I couldnt get something that wasnt dependant on v

and this was my try with using the basis vectors

[devout snow]

@feral cairn Has your question been resolved?

[feral cairn]

<@&286206848099549185> ?

[devout snow]

@feral cairn Has your question been resolved?

[devout snow]

@feral cairn Has your question been resolved?

[devout snow]

@feral cairn Has your question been resolved?

[devout snow]

@feral cairn Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

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[old bobcat]

can someone please help me with this

[old bobcat]

Maïcha's parents want to make a rainwater collector in the shape shown opposite. The apothem of the cone, the height of the cylinder and the radius of the sphere will be 60 cm, 2.5 m and 30 cm respectively.

It will be made of aluminum foil. The area of an aluminum sheet is 1.6 m², and each sheet sells for $32 (tax included).

What will be the total area of the reclaimer, how many full sheets will they need to buy and what will the project cost?

thats the translation

.close

[devout snow]

Channel closed

Closed by @old bobcat

Use .reopen if this was a mistake.

[devout snow]

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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.

[devout snow]

@fossil steppe Has your question been resolved?

[devout snow]

@fossil steppe Has your question been resolved?

[devout snow]

@fossil steppe Has your question been resolved?

[devout snow]

Channel closed

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[vestal lance]

Wondering how to solve a recurrence relation like this

[vestal lance]

I’d like to find an expression for p_i for i between 2 and 2n-1

How to get here?

[devout snow]

@vestal lance Has your question been resolved?

[devout snow]

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[feral cairn]

I still need help with this problem.

[devout snow]

@feral cairn Has your question been resolved?

[rain karma]

What’s r?

Like for a general r?

[feral cairn]

I'm not sure if it should be general, like one specific r or for every v it can be a different r...
r should be greater than 0 and for any ||L(v)|| = r* ||v||. And r must be independent from v.

[rain karma]

Yeah got it

Wait why do u think r must be independent from v?

[feral cairn]

It says so in the task

[devout snow]

@feral cairn Has your question been resolved?

[devout snow]

@feral cairn Has your question been resolved?

[feral cairn]

<@&286206848099549185> ?

[devout snow]

@feral cairn Has your question been resolved?

[feral cairn]

I now have like an idea for the proof, but I'm not sure if this is the right approach and if I'm allowed to say that A just can be these 2 cases or if I'm supposed to use the other attributes L has cause it's conformal that are written in the task...

[devout snow]

@feral cairn Has your question been resolved?

[devout snow]

@feral cairn Has your question been resolved?

[lavish prawn]

i'll post it here again for ease of access:

Let A be a real 2 × 2 matrix and L : R^2 → R^2 : v→ A * v the corresponding linear mapping. We call L conformal if L is injective and
for all v, w ∈ R^2 with v, w != 0 it holds that (Screenshot)
L is conformal. Show that |L(v)| = r*|v| if r> 0 and not depends on v ∈ R^2.
Tip: First consider the basis vectors e1 = (1,0) and e2 = (0,1) and the vector e1+e2

[lavish prawn]

How do you know it can just be one of these two cases?

[feral cairn]

Googled what conformal matrices can be cause I had no good approach without this.

[lavish prawn]

It's a bit tricky! I think it's dangerous to start going into matrix components too quickly, there's some abstract things you can do first to get intuition for the question

For example, entering e1 and e2 gives you that L(e1) and L(e2) are orthogonal. So the map maps orthogonal sets of vectors to orthogonal sets of vectors. Entering e1+e2 into v and w and using linearity of L and the scalar product gives you |L(e1)|^2 + |L(e2)|^2 = |L(e1 + e2)|^2, so a pythagorean theorem. That's also kinda cool

Still struggling how to get the exact thing we want tho!

[feral cairn]

With entering you mean apply in the <L(v)L(w)> / <||L(v)||||L(w)|| = <v>*<w>...?

[lavish prawn]

Ye

v = e1 and w = e2

And then play around with the equation until interesting stuff comes out

[feral cairn]

Don't know if I made a mistake here and I didn't quite get how you should go from |L(E1+E2)| to |L(E1)|^2+|L(E2)|^2..

[lavish prawn]

$\langle e_1 + e_2 , e_1 + e_2\rangle = 2$, right?

[woven radish]

Lartomato

[feral cairn]

Oh true

[lavish prawn]

Also not sure why the $\langle L(e_1 + e_2), L(e_1 + e_2)\rangle$ in the enumerator on the left disappears

[woven radish]

Lartomato

[feral cairn]

I thought because of the equality that this has to be the same as 1 or now 2. But I think that's wrong...

[lavish prawn]

Nah, we don't know much about what the value of that is. But we can decompose it with linearity and see what happens

[feral cairn]

Is this correct?

[lavish prawn]

That is correct, but then you just get 1 = 1 on both sides of the equation and haven't gained any information

[feral cairn]

What means decompose with linearity?

[lavish prawn]

L(e1 + e2) = L(e1) + L(e2)

That's how fancy math people talk about that step hehe

Also $\langle a + b, c \rangle = \langle a, c\rangle + \langle b ,c \rangle$

[woven radish]

Lartomato

[feral cairn]

That means I can calculate the numerator left =2

[lavish prawn]

Why's $\langle L(e1), L(e1) \rangle = 1$?

[woven radish]

Lartomato

[feral cairn]

I thought the scalar product of the same vector is always 1. But I see that was also a wrong assumption xD

[lavish prawn]

Nope, it's actually $\langle v, v \rangle = |v|^2$. So it's only 1 if the length of the vector is 1 🙂

[woven radish]

Lartomato

[lavish prawn]

but that happens often enough so i understand why you'd think that

[feral cairn]

Yeah I had something in mind with normalized vectors.

I don't really have an idea for the next step. But if I get somehow a result with this for r, then this r is the solution for the complete task?

[lavish prawn]

My recommendation is to stay away from matrix entries as long as possible

They're only gonna make your equations more complicated

What is the value of |e1 + e2|^2?

[feral cairn]

Ok. I thought maybe sth cancels.

[feral cairn]

2. I know the right side is 1 but I thought cause of the task I shouldn't get rid of it.

[wicked storm]

But now that we found out that |L(e1)|^2 + |L(e2)|^2 = |L(e1 + e2)|^2 i struggle with the next step. From |L(e1+e2)| = r*|e1+e2| I can get r=(|L(e1)|^2 * |L(e2)|^2)/2 but I still don't see how that helps to generalize it to all vectors and r is still dependant on v as the two is only possible because |e1+e2|^2 = 2

[wicked storm]

I get that the proof for |L(e1)|^2 + |L(e2)|^2 = |L(e1 + e2)|^2 can be adapted to |L(v)|^2 with v=xe1 +ye2 which makes it possible to generalize r for all vectors but it's still dependant on v isn't it

[feral cairn]

<@&286206848099549185>

[torn fractal]

hi

[feral cairn]

.close

[devout snow]

Channel closed

Closed by @feral cairn

Use .reopen if this was a mistake.

[lavish prawn]

Yeah, the equation $|L(v)|^2 + |L(w)|^2 = |L(v +w)|^2$ then can be adapted to hold for any orthogonal vectors $v,w$. The final step is inserting $v = e1 - e2$ and $v = e1 + e2$; the right-hand side becomes $4 |L(e1)|^2$, the l.h.s becomes, using that L(e1) and L(e2) are orthogonal, $2 |L(e1)|^2 + 2 |L(e2)|^2$

Hence you get that L(e1) and L(e2) have the same length. But by linearity this implies that all vectors of length 1 are mapped to vectors of the same length r = |L(e1)|

@feral cairn sorry that i left you hanging afterwards, above is a proof sketch

[woven radish]

Lartomato

[lavish prawn]

Wondering if there's a slicker proof. But damn this was kinda fun

[feral cairn]

Thank you

[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.
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[wary fractal]

i havent done trig in forever

how is it "easily" 3π/2 radians

i know that this is the transformation matrix for a rotation counterclockwise

and the representation matrix T can be found by multiplying this matrix and the reflection transformation matrix

[eternal tapir]

go answer nima @timber pebble

[eternal tapir]

so you know that pi/2 is a quarter turn right

[wary fractal]

yea

[eternal tapir]

ok if you're at (0,1)

how many quarter turns do you need to go to (1,0)?

[wary fractal]

1

[eternal tapir]

counterclock wise

[wary fractal]

oh myb

you need 3

or am i trippin

[eternal tapir]

so it's 3 * pi / 2

as the angle of rotation

[wary fractal]

hmmm

[eternal tapir]

hmmm

[wary fractal]

but

[eternal tapir]

but?

[wary fractal]

ok wait nvm

i need to take a break

i made it harder than it needed to be 😭

thank you tho

[eternal tapir]

[wary fractal]

.close

[devout snow]

Channel closed

Closed by @wary fractal

Use .reopen if this was a mistake.

[quaint citrus]

why chebyshev and not kolmogorov

kolmogorov was easily low S tier

idk if i'd say the same about chebyshev

[eternal tapir]

because chebyshev's norm is the infinite pee norm

[uncut crow]

m8of48...

[eternal tapir]

laila at home ...

[uncut crow]

wtf

[quaint citrus]

this is above my pay grade

[eternal tapir]

[uncut crow]

pee norm

[eternal tapir]

are you familiar with Lp norms

and the max norm

[quaint citrus]

no

[eternal tapir]

ic

[quaint citrus]

i havent taken any pure math classes

[eternal tapir]

are you familiar with what a norm is

[quaint citrus]

we just started martingales tho so thats pretty cool

[quaint citrus]

its the length of a vector right? or something like that

[eternal tapir]

time to beat the casino

[uncut crow]

why is your name pee norm

[eternal tapir]

ways to measure a vector but ye

[eternal tapir]

i am explaining right now!

[uncut crow]

you are not

[eternal tapir]

i am in the process of explaning right now!

[quaint citrus]

.reopen

[devout snow]

✅

[eternal tapir]

Lp norms is $\left(\sum_{n} |a_n|^p\right)^{1/p}$

[woven radish]

chebyshev's infinite pee norm

[eternal tapir]

if p = 2 it's the standard euclidean norm

[quaint citrus]

whats a_n

[eternal tapir]

the elements of the vector

[uncut crow]

now why is your name pee norm and not p norm

[quaint citrus]

so if its the vector <4,6,7> itd be (\sigma_3 <4,6,7>^p)^(1/p)?

or no

[eternal tapir]

$(4^p + 6^p + 7^p)^{1/p}$

[woven radish]

chebyshev's infinite pee norm

[eternal tapir]

for p = 2

this is just the euclidean norm

as an example

[quaint citrus]

yes got it

[eternal tapir]

ye

so then

take lim p to infinity

and it turns out this norm is the same thing as the maximum norm, $max(|a_1|, |a_2|,\ldots)$

[woven radish]

chebyshev's infinite pee norm

[deft hemlock]

Sir how would one prove this ?

[quaint citrus]

so whats the maximum norm of this

[uncut crow]

it's very hard you wouldn't understand

[quaint citrus]

7^p?

[deft hemlock]

My ma'am just said this to me... how could she

[eternal tapir]

it's max(4,6,7) = 7

[deft hemlock]

@weak cove

[quaint citrus]

ah ok

[weak cove]

Hello

[uncut crow]

this channel

[weak cove]

This looks like a lovely group here

[uncut crow]

sakatayaksha

[deft hemlock]

We are looking to solve $\mg{(4, 6, 7)}_{\infty}$

[woven radish]

Ultimate Chad

[weak cove]

that's my name don't wear it out

[eternal tapir]

and the proof is pretty simple but im lazy to type it

[uncut crow]

no that's @stuck field

[eternal tapir]

so here is a quick google search

[weak cove]

sir there's nothing to solve

[deft hemlock]

Wow this actually was p simple

[eternal tapir]

pee simple

[quaint citrus]

so whats the importance of this and chebyshev discovered it?

[uncut crow]

pee norm

[weak cove]

Glad that I could clear the doubt.

[deft hemlock]

🔠 ?

[eternal tapir]

maximum norm is chebyshev's norm

[deft hemlock]

does my sir mean frobenius norm restricted to the rows?

[weak cove]

I prefer the L2 norm

[uncut crow]

i prefer the taxicab norm

[quaint citrus]

o i c

[weak cove]

https://tenor.com/view/minion-tongue-out-cute-gif-14897362

[eternal tapir]

and idk the history whether chebyshev found the two coincided

[eternal tapir]

pee

[quaint citrus]

oh ok so pee

[deft hemlock]

You guys are childish.

Clearly by p i meant pretty.

[quaint citrus]

sorry Sir

[eternal tapir]

how is it childish to pee?

everybody pees

[deft hemlock]

This is a logical fallacy.

https://images-ext-1.discordapp.net/external/jW52vwIzodAV0faNmMYizNQIPAxN8zzvWfE_zpo6FZM/https/media.tenor.com/e0QX5fWhcDoAAAPo/otto-minion.mp4

[quaint citrus]

i dont think fireflies or fish pee

right?

[uncut crow]

thank you

[quaint citrus]

that wouldn't make sense

[deft hemlock]

FIsh def do

[uncut crow]

you look very handsome in your pic

[eternal tapir]

slayla

[deft hemlock]

My ma'am complimented the gigachad with extremely large pectoral muscles"

[uncut crow]

:SCcog:

[deft hemlock]

Not even my sir @weak cove has pectoral muscles as large as this gigachad..

[uncut crow]

my pectoral muscles are that big

[weak cove]

Doubt

https://tenor.com/view/otto-minion-twerk-minions-the-rise-of-gru-rise-of-gru-gif-26629300

[rustic jetty]

um

[uncut crow]

look away

[weak cove]

!redir

[devout snow]

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

[rustic jetty]

is this allowed to be here?

[uncut crow]

yea

we are veteran server members

[rustic jetty]

if u say so

[uncut crow]

we know what we are doing

[rustic jetty]

ohk

[quaint citrus]

please dont report us to the mods through modmail

[rustic jetty]

mb

[weak cove]

We served in the war of the sleeping force

[rustic jetty]

lmao

[eternal tapir]

⚔️ down with lust

[rustic jetty]

i gotchu

[uncut crow]

yes please do not report me

i cannot afford another ban on my record

[weak cove]

She can not afford another strike

[faint gorge]

she sold me fetanyal

[rustic jetty]

another?

damn

[uncut crow]

another

[rustic jetty]

lmao

[deft hemlock]

⚔️ the lusty mods shall be demolished

[weak cove]

@oak widget Please ban all of these misbehaviors, specifically @rustic jetty

[rustic jetty]

thats crazy

[deft hemlock]

my ma'am slayla has been banished from the mathcord before?

[uncut crow]

yes

[deft hemlock]

Oh shit its joever for you sir. Any last words/

[weak cove]

Multiple times

[rustic jetty]

noooooooooooooooooooooooooooooooooo

[uncut crow]

no only once actually

[rustic jetty]

please

i swear

[weak cove]

revoked of green multiple times

[deft hemlock]

Okay apology accepted.

[rustic jetty]

i havent done anything lusty

[weak cove]

I shall soon join you

[rustic jetty]

ayyyyyyyyyyyyyyyyyyy

my man

[deft hemlock]

Have a nice day sir

[weak cove]

Good. One of us

[deft hemlock]

Do you have a doubt still?

[uncut crow]

i actually don't know if my green got revoked manually when i got banned or my helpful status reset when i got banned

oops

[uncut crow]

wrong reply

[weak cove]

ma'am

[uncut crow]

all my other roles were gone when i joined back

[rustic jetty]

how do you get helpful anyway

[weak cove]

By being helpful

[rustic jetty]

how helpful is helpful?

[weak cove]

Very

[eternal tapir]

i just meme alot and got it

[rustic jetty]

nice

[eternal tapir]

maybe if you meme as much as i did

[rustic jetty]

lmao

[weak cove]

Lies he ABCD

[deft hemlock]

You need to clear an incredible amount of doubts

[weak cove]

you have to ABCDEFGH

[deft hemlock]

Like our kingly sir @weak cove

[weak cove]

for awhile

[deft hemlock]

The leader of the doubtclearers and the bringer of destruction to the lusty mods

[uncut crow]

i will bring destruction to sakatayaksha

[deft hemlock]

Our ma'am is wrought with betrayal...

What shall be done?

[weak cove]

Why would you want to destroy @stuck field

[faint gorge]

https://tenor.com/view/spelling-mistake-minor-spelling-mistake-meme-gif-23650588

[weak cove]

he teaches at my school

[rustic jetty]

he is my school

[weak cove]

he is your sir

?

[uncut crow]

i'm sorry for your loss

[uncut crow]

lmfao

[rustic jetty]

wait he actually teaches at a school

i did not know that

[weak cove]

yes at mine

he's one of our sirs

[rustic jetty]

wait actually

[weak cove]

yes

[deft hemlock]

He is indeed.

[rustic jetty]

bro the universe just flipped upside down

what\

[eternal tapir]

https://benshapi.ro/

[weak cove]

https://tenor.com/view/minions-pyramid-gif-11753624

[eternal tapir]

https://benshapi.ro/authors/ben/avatar_hu02aa61ae1d9de35cbe238d2676170cb9_276543_270x270_fill_q75_lanczos_center.jpg

[weak cove]

Please don't doxx my sirs image.

without his permission

[rustic jetty]

LMAO

thats crazy

[deft hemlock]

is this real ☠️

[eternal tapir]

it is not doxxing if it is available publicly and my intent is anything but ill

[uncut crow]

doesn't matter

you should be ashamed

[deft hemlock]

My maam is right

[uncut crow]

your ma'am is always right

[eternal tapir]

[weak cove]

michael penix at #8

@deft hemlock

[uncut crow]

penix?

[weak cove]

yea

our goat

just got drafted

https://tenor.com/view/michael-penix-jr-gif-10584248518279977679

[eternal tapir]

wait a minute

[eternal tapir]

you doxed him first

[weak cove]

https://tenor.com/view/washington-michael-penix-gif-27085691

[uncut crow]

i really thought you were just going to make a penis joke

[weak cove]

https://tenor.com/view/michael-penix-penix-jr-gif-3255685980500609632

[eternal tapir]

that would be lusty behavior

and sir is anything but lusty

[weak cove]

https://tenor.com/view/washington-washington-huskies-uw-football-husky-huskies-gif-27162098

[uncut crow]

sakatayaksha not lusty?

good one

[deft hemlock]

⚔️

[quaint citrus]

ew college football

[weak cove]

wow

my other sir just went #9

@deft hemlock back to back huskies

[quaint citrus]

NOO

[weak cove]

in the top 10

https://tenor.com/view/rome-odunze-gif-3861991775192392746

[quaint citrus]

oh

[weak cove]

L

two of my sirs just made the NFL

[uncut crow]

any football that isn't nfl i can't watch

[quaint citrus]

wow thats actually fire

any football that isnt superbowl i can't watch

[weak cove]

they went bears and falcons so I guess u wont be watching them anytime soon

[quaint citrus]

its only playing it or watching superbowl thats acceptable

[eternal tapir]

any football that isn't taylor swift i can't watch

[quaint citrus]

rip

[eternal tapir]

https://tenor.com/view/taylor-swift-fortnight-ttpd-the-tortured-poets-department-tattoos-gif-10177288114685990190

[quaint citrus]

isnt this from her fortnite song

[deft hemlock]

You are right sir

[eternal tapir]

ye she cranked 90s on some noobs

200

fullbox

400

[weak cove]

she has a ... fortnite song..?

I prefer real music

[quaint citrus]

@jaunty mantle

4k

ur done for lil bro

[deft hemlock]

My sir has never played Fortnite festival 🤣🤣🤣

[jaunty mantle]

hi

[weak cove]

https://tenor.com/view/minions-rock-guitar-music-gif-4355662

[weak cove]

never even played fortnite

[eternal tapir]

[jaunty mantle]

what 4k

[quaint citrus]

.

[deft hemlock]

⁉️⁉️⁉️⁉️⁉️

[quaint citrus]

also what did u think about her fortnite song

[uncut crow]

what did i miss

[deft hemlock]

My sir is embarassed

[uncut crow]

what got deleted

[weak cove]

https://tenor.com/view/minion-what-cute-gif-9451256039496038945

[eternal tapir]

whole album is meh except i can do it with a broken heart

i don't wanna hear her sing 15 gloomy songs about her 15 exes

[jaunty mantle]

good thing i can play the music i like and not have to be forced to listen to someone else's preferences

[weak cove]

https://tenor.com/view/this-is-my-jam-minions-the-rise-of-gru-dance-with-me-i-love-this-song-lets-rock-gif-26763335

[jaunty mantle]

just like how i can go to the supermarket and buy the foods i personally like to eat

[weak cove]

this is the only music I like

[jaunty mantle]

and the clothes i like to wear

[weak cove]

frosst chill it was a minion music joke

[jaunty mantle]

huh im not mad at all

[eternal tapir]

[weak cove]

https://tenor.com/view/despicable-me-minions-minion-soda-gif-3499161

[uncut crow]

:majjnow:

[quaint citrus]

did u used to play despicable me phone game

[jaunty mantle]

i was just saying that oh wow people have different preferences and that's okay

[uncut crow]

lmfaoooo now i know what you know you from

well still not exactly

[eternal tapir]

aintnoway

no capper?

[uncut crow]

yesway

[eternal tapir]

LOL

how ahaha

[weak cove]

how is this still open

[uncut crow]

it was .reopened

[weak cove]

oh

.close

[devout snow]

Channel closed

Closed by @weak cove

Use .reopen if this was a mistake.

[uncut crow]

rip

[weak cove]

https://tenor.com/view/leonhard-euler-euler-time-to-shred-euler-shred-shredder-gif-24591321

[deft hemlock]

🔠

[uncut crow]

you play rs right

[eternal tapir]

⚔️

[eternal tapir]

not anymore but yea

who r u!!

[uncut crow]

yea i used to also

i still don't remember you but that must be it

[quaint citrus]

what's rs?

[jaunty mantle]

runescape

old man's game

[eternal tapir]

it's just the best massive multiplayer online role playing game in the world

[jaunty mantle]

don't worry about it

[eternal tapir]

[jaunty mantle]

spoken like a millenial

[eternal tapir]

did we know each other?!

[quaint citrus]

is it older than wizard 101

[uncut crow]

idts, i'd remember you better if we did

i must have just seen your name around somewhere

[eternal tapir]

oh

so you're just a stalker

[uncut crow]

yep

[eternal tapir]

[uncut crow]

:ratjam:

[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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[restive river]

in the equation 8x^2-40x+199+(-1008/x+5)=y
Find all integer solutions of the proposal in which x and y are negative integers.

[uncut crow]

where is y?

[eternal tapir]

right there duh

[uncut crow]

and the = sign

and the other side of the equation

[uncut crow]

you're gonna regret this

[eternal tapir]

[restive river]

sorry i forget

8x^2-40x+199+(-1008/x+5)=y

[uncut crow]

-1008/x+5 or -1008/(x+5)?

[restive river]

-1008/x+5

[frosty void]

helpp

im confuse about my math

[uncut crow]

just to confirm, $\frac{-1008}{x} + 5$?

[woven radish]

slayla

[junior chasm]

!occupied

[devout snow]

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).

[restive river]

no, sorry i miss, -1008/(X+5)

[uncut crow]

ok

[restive river]

I'm a bit confused typing math on the keyboard

[uncut crow]

yea issok

that's a common mistake people make here so that's why i asked about it lol

so what you want to know is... for which values of x is 8x^2-40x+199 - 1008/(x+5) a negative integer

[restive river]

no, which x and y values ​​are negative

8x^2-40x+199 - 1008/(x+5)=y

[uncut crow]

yea but

every x that makes 8x^2-40x+199 - 1008/(x+5) a negative integer gives a solution to the equation

well every negative integer value of x

[restive river]

yes

[proper tartan]

just factorize -1008 and find the values of x so that 1008/x+5 is a integer

1008 is 2.2.2.2.63

now permutate all the possible factors

then find x+5 = negetive(of these factos)

[restive river]

but y must be negative too

and for all x negative, y is not negative

[proper tartan]

oh right

[uncut crow]

isn't y negative if x is negative?

[proper tartan]

no

[uncut crow]

oh

yea not always but sometimes it is

[proper tartan]

also im stupid i thought 63 was prime bruh

[uncut crow]

for all x negative, y is not negative
is not true

[proper tartan]

i just woke up 😭

[uncut crow]

for example when x is -1, y is -5

[proper tartan]

okay so 8x^2-40x+199

always gives positive output

we just need to find the interval where 8x^2-40x+199 is less than 1008/x+5

[restive river]

Won't this create a huge inequality?

[proper tartan]

yeah...

[restive river]

Did you arrive at something? I tried here and found something absurd

[uncut crow]

8x^2-40x+199 > 149 for any x

then we can say something like

for x < -10, -1008/(x+5) > -100

so 8x^2-40x+199 + -1008/(x+5) > 0

[restive river]

how you get it?
u just did 8x^2-40x+199-1008/(x+5)<0?

[uncut crow]

well my point was that for x < -10, 8x^2-40x+199 + -1008/(x+5) is positive so there are no solutions in that case

then there is just x with 0 < x < -10 to worry about

and you can just check manually for each one to see if 8x^2-40x+199-1008/(x+5) < 0

[restive river]

So the only solutions for negative x and y are for x between 1 and 9? since x can be at this value because (x+5) is a multiple of 1008?

[uncut crow]

maybe? hard for me to understand what you're asking exactly

[proper tartan]

i mean if you got 8x^2-40x+199 > 149 you'll also need 1008/x+5 > 149

compare maybe the values of x where the values are attained

[restive river]

the uniques divisors of 1008 between 0 to -10 is -1, -2, -3... -9

[proper tartan]

x = approx 1.7

[uncut crow]

this is the case when x < -10 (and also for other x)

[proper tartan]

wha

t

[uncut crow]

wait nvm that

i think we are on a different page

my point was that when x < -10, there are no solutions

[restive river]

How do I prove this for nonsense?

[proper tartan]

do youhave the answer

i got

the answer

x can be -1,-2,-3,-4

[restive river]

how you get it?

[restive river]

No, i just tried to put in geogebra to find

[proper tartan]

i did it on paper by

bruteforcing

(putting values)

[restive river]

can you send? plz

[proper tartan]

its gibberish

random nonsense

what i wanted to tell was

i got: if x<1.7 then 1008/x+5 > 149

and also if x<-5 then the difference in the main equation chances to sum

-1008/x+5 will just add then

so answer between this range

and you needed negetive answers

so

-1 -2 -3 -4

[uncut crow]

let me do something a little better. if x <= -6 we have:

1. 8x^2-40x+199 is positive (because 8x^2-40x >= 0 and 199 is positive)
2. -1008/(x+5) is positive because -1008 and x+5 are both negative

so 8x^2-40x+199 -1008/(x+5) is positive

so there are no solutions outside of {-1,-2,-3,-4} (-5 is not a solution because division by 0)

[proper tartan]

yeah

[restive river]

ooooooooooo

[uncut crow]

and you can check that those are all solutions

[restive river]

I understood

thank you very much guys

[proper tartan]

💯

[restive river]

.close

[devout snow]

Channel closed

Closed by @jade timber

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>.
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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.

[formal bluff]

https://cdn.discordapp.com/attachments/976967307953860609/1233249529571315803/image.png?ex=662c68a0&is=662b1720&hm=6b7874811d9943e0902725e0b891dbda7db1d292f12c8d486f0c7d75fa385999& I'm wondering what the correct approach/setup is for this problem because I cannot figure it out

[spare crypt]

you get rates of change by just taking the derivative of the formula you're given (with respect to t, need chain rule for e^h(t))

then you'll have dP/dt and dh/dt, where dh/dt is sin40 of the speed since you just want height and the speed is diagonal

[devout snow]

@formal bluff Has your question been resolved?

Channel closed

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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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• 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.

[restive river]

help

[restive river]

how can i get help?

[uncut yew]

post q

[restive river]

what's that?

[uncut yew]

post ur question

[restive river]

where?

[uncut yew]

here

[restive river]

ok, how can i get help?
(generally speaking)

that's my question

[uncut yew]

U see the channels that arent occupied

[restive river]

xdxdxd

[uncut yew]

So all the ones above the one were currently in

[restive river]

discord in white mode

[uncut yew]

https://tenor.com/view/byuntear-sad-sad-cat-cat-meme-gif-25617057

[uncut yew]

its fire isnt it

[restive river]

nah, i was asking not about math help (in this serever)
how can I get that people help me in mathematics , it seems redundant , but the question is not about this server , but how to get help

?

I have failed , like , 6 years in a row to get help

and we continue

here we go again

have you ever realised that when is 23:41 at the clock happens that 23 is prime , 41 is prime and 2341 is prime

.close

[devout snow]

Channel closed

Closed by @wise crow

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>.
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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.

[hearty wren]

is there a way to find or approximte a sine angle

[hearty wren]

other than the basic angles

like sin34 = 0.55919290347075

[topaz axle]

mclaurin series is one way

[junior chasm]

using series expansion of sinx

[hearty wren]

alright ty

[hearty wren]

ima check it out

[graceful cosmos]

Your calculator uses CORDIC

[hearty wren]

.close

[devout snow]

Channel closed

Closed by @hearty wren

Use .reopen if this was a mistake.

[graceful cosmos]

Series are better to learn about tho

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

[jaunty abyss]

Hi

[jaunty abyss]

Can I cancel out what I circled?

What

Wdym

[winter patrol]

common factors can be cancelled given that they're not 0

[jaunty abyss]

It doesnt matter where?

[winter patrol]

same factor on the numerator and denominator

[jaunty abyss]

Because there’s another (p+2) on the left side

[winter patrol]

well only one of each will get cancelled

since there's only one factor of (p+2) on top

[jaunty abyss]

It doesn’t matter if it’s on the right or left?

The denominator

[winter patrol]

the effective denominator will be the product of the individual denominators

[jaunty abyss]

So if it’s in another fraction I can’t cancel it?

It has to be in the same fraction numerator and denominator ?

[winter patrol]

if its separeated by addition, no

[jaunty abyss]

To cancel out

What about multiplication

[winter patrol]

then ifts fine

because
$$\frac pq \cdot \frac rs = \frac{pr}{qs}$$

[woven radish]

ℝαμΩℕωⅤ

[jaunty abyss]

Ohh ok

I see

Um

Idk if I did this correctly

Problem

What I did

[winter patrol]

way overcomplicating it

[jaunty abyss]

It’s how they taught us

[winter patrol]

who?

[junior chasm]

just take out 2 common from (2p+4)

[jaunty abyss]

Teacher

[junior chasm]

what is the point of all that multiplication and division

[winter patrol]

either you have a bad teacher or you're misremembering/misapplying what they said

[junior chasm]

you're still left with the original eq

[jaunty abyss]

Would that be for all equations?

Or just this one

[junior chasm]

for all, with the way you're doing it

[jaunty abyss]

Okay

So

[winter patrol]

you're not being asked to add/subteract fractions
there's no point in getting a common denominator for each idnvidual fraction being multiplied

[junior chasm]

multipylying and dividing then cancelling the same factors accounts to nothing

[jaunty abyss]

Okok

What should I do instead

[winter patrol]

if you really want to first combine everything into a single fraction, just apply what i had typed above directly

and factorise the numerator and denominator separately if possible
then cancel common factors that appear

[jaunty abyss]

But I can’t cancel out bc the bottom ones are tied to their variables

[winter patrol]

wdym

[jaunty abyss]

(P+2) I can’t cancel 2 because p is there

With another 2 on top

[winter patrol]

yes, however refer to

and factorise the numerator and denominator separately if possible

[jaunty abyss]

Not sure how to?

[winter patrol]

look at the 2p + 4

do those terms have any common factors?

[jaunty abyss]

Would that be p+2 p+2

[winter patrol]

no

[jaunty abyss]

2

[winter patrol]

yes, so factor that out

[jaunty abyss]

Leaves p+2?

[winter patrol]

wdym

[jaunty abyss]

Oh

Wait

2(p+2)?

Idk

[winter patrol]

yes, 2p + 4 factorises to 2(p+2)

[jaunty abyss]

Okay

Sooo

What about the 8

Okay I got 16/p+3

[winter patrol]

() around the p+3

[jaunty abyss]

Ok

.close

[devout snow]

Channel closed

Closed by @jaunty abyss

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>.
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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.

[jaunty abyss]

Hey

[jaunty abyss]

So for this question

I did this

Idk if it’s correct

Am I ok so far?

[proper tartan]

nuh uh

[jaunty abyss]

Sad

Ok

What should I do

[proper tartan]

do you know what calculus is

[jaunty abyss]

No

Not even a little

[proper tartan]

wait then my bad

you did right

now root 196 is 14

[jaunty abyss]

Ohhh

Okay

[proper tartan]

and you ignore the -4+14/9.8 as time cant be negetive

-18/9.8 simplify

[jaunty abyss]

Yeah

[proper tartan]

and thats your answer

[jaunty abyss]

Tysm

[jaunty abyss]

Wait but 9.8 is negative

How do I ignore that

And is 4 the negative one or 14 for the numerator

[junior chasm]

yes

now take negative sign

because that'd make the top negative and bottom is negative so it'd be positive overall

[proper tartan]

i meant ignore the + sign one as

(i forgot to put - sign)

[jaunty abyss]

Ohh ok

I got 1.836…

[junior chasm]

the 196 inside sqrt is wrong

should be 212

[jaunty abyss]

Oh

Yeah

Okay

I did that and it’s 1.89

1.9

[junior chasm]

yes

[jaunty abyss]

Thx

.close

[devout snow]

Channel closed

Closed by @jaunty abyss

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>.
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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.

[tight wave]

can someone check this for me

[tight wave]

sorry its so messy if u need me to tell u what smth says i can

[uncut crow]

it’s right

[proper tartan]

you have to simplify this right

[tight wave]

yh

[proper tartan]

yeah this right

[tight wave]

ight ty

[devout snow]

@tight wave Has your question been resolved?

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[thorny yarrow]

uh guys i need help with making a base or layout for our research introduction, its basic statistical research

[devout snow]

@thorny yarrow Has your question been resolved?

[thorny yarrow]

<@&286206848099549185>

[devout snow]

@thorny yarrow Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

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Send your question here to claim the channel.

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

help

[devout snow]

Please don't occupy multiple help channels.

[restive river]

35, 37 and 38

[hasty saffron]

!status

[solar goblet]

is this a test?

[devout snow]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[restive river]

nah

practise

[restive river]

1

[solar goblet]

you sent the wrong screenshots

wheres 35?

and also

!1q

[devout snow]

It is suggested that you limit yourself to one question per help channel, opening a new one once your original question is answered and your original channel has been closed. This is to make your channel easier to follow for potential helpers and can bring attention to the fact that your question has changed.

[restive river]

okok

leave 35

just 38

@solar goblet ?

[latent hazel]

!status

[devout snow]

What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above

[restive river]

1

[latent hazel]

k

so first you need to create an equation

[restive river]

q 37 and 38 and 39

[restive river]

ok

[latent hazel]

for 38

lets just do 38 atm

what equation would you create

[restive river]

ok'

uh

[latent hazel]

alright i'll help

let the width = W

and the length = L

[restive river]

yes

w = 2/3L

[latent hazel]

so 2W+L=56

[latent hazel]

yes write it as w=2/3 * L

[restive river]

yes

[latent hazel]

then you can substitute your value for w into here

[restive river]

ok

2(2/3)+L=56

[latent hazel]

close it's 2(2/3 L) +L=56

[restive river]

oh k

(L=24)

[latent hazel]

so it then becomes 4/3 L +L=56

[woven radish]

VS

[restive river]

yes?

[latent hazel]

yes

nice

[restive river]

okok

37?

[latent hazel]

ok can you send the question again

[restive river]

.

[restive river]

.

[latent hazel]

ok this is it

i just dont like going back up and down

[restive river]

yes

ye alg

[latent hazel]

where would you start

define the variable first

[restive river]

F and NF

[latent hazel]

ok

[restive river]

70% of F+NF= NF?

@latent hazel ?

[latent hazel]

wait

[restive river]

ok

[latent hazel]

wait

30% of the books are fiction and 70% are non fiction

[restive river]

yes

[latent hazel]

there are 2400 more non fiction books than fiction books

ok got it

@restive river

[restive river]

ok

yes

[latent hazel]

the way i'd start is from here

i'd say NF=F+2400

[restive river]

yes

[latent hazel]

now you have to find the second equation you'd subsitute NF into

[restive river]

ok

NF-F=2400

[latent hazel]

what

[restive river]

mb

[latent hazel]

same as this just rearranged

[restive river]

oh

then waht i do

[latent hazel]

im not sure sorry

[restive river]

oh k

what bout 39?

[latent hazel]

oops just saw this

k

[restive river]

ye

how do

[latent hazel]

k

BD=2 x AB

[restive river]

yes

@latent hazel now waht

[latent hazel]

can you realign it to make a rectangle

[restive river]

yes

[latent hazel]

so AB * BD = 98

[restive river]

yes

[latent hazel]

make your life easier so rearrange this to make it AB= .5BD

[restive river]

yes

[latent hazel]

subbstitute now

[restive river]

.5xBD=98

[latent hazel]

yeah

[restive river]

now

[latent hazel]

nvm it doesn't work

i am wrong

sorry

[restive river]

okok

[latent hazel]

ask someone else

<@&286206848099549185>

[restive river]

okok

.close

[devout snow]

Channel closed

Closed by @blazing socket

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[devout snow]

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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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• Be polite and have a nice day!

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[fervent jewel]

So firstly, does part b basically confirm that part a is possible?

And secondly, for part b. I can think of computing the cross ratio of the points and cross ratio of the projection points.

To my understanding, we can find the distance between $x_1$ to $x_2$ and $x_2$ to $x_3$, and we wish to find the distance between $x_3$ and $x_4$. However, the cross ratio needs 4 values to compute. Also, how would we compute the cross ratio of the projected points? I don't think we were given anything in the question. Thank you.

[woven radish]

WhoTao

[devout snow]

@fervent jewel Has your question been resolved?

[devout snow]

@fervent jewel Has your question been resolved?

[devout snow]

@fervent jewel Has your question been resolved?

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[devout snow]

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[jagged nimbus]

I still need help w this one

[winter patrol]

question makes no sense

[scenic magnet]

why are they giving you the condition of if x=? find:

when the equation you have to find the value of doesn't have an x

[winter patrol]

this was mentioned yesterday already

[jagged nimbus]

Yes

[winter patrol]

taking the expression at face value and trying to evaluate directly doesn't give any of the options

[ocean silo]

and neither does the bottom fraction lol tf

[winter patrol]

there's probably a typo or typesetting issue
the original intended problem is irrecoverable

so just skip and move on

[jagged nimbus]

If u want i can send u some examples

[lunar harbor]

I think the circle is supposed to be an operation

[jagged nimbus]

Yes

[lunar harbor]

,w \frac{2*1+1+(-2+1)}{(2 * 6/7 + 1) - (2 * 5/7 + 1)}

[woven radish]

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Requested by civil_service_pigeon

[lunar harbor]

yeah it is

[ocean silo]

very unusual notation

[jagged nimbus]

Theres an example

[scenic magnet]

maybe you have to take the values circled in blue and make them equal to x?

[jagged nimbus]

Emmmh idk

[scenic magnet]

sorry I don't speak enough spanish to understand this 😅

[lunar harbor]

I'm gonna use square brackets instead of that circle thing

[winter patrol]

I thought it was just decoration so I ignored them

[lunar harbor]

[7x-3] = 2x+1
if we want [4], them we can let x = 1
that gives us [7(1)-3]=[4]=2(1)+1=3
rinse and repeat for the other 3

[jagged nimbus]

Heres what i tried yesterday

[scenic magnet]

yeah but that gives you 0 in the numerator

if you put the equation = 4, and then -10, you'll get 1 & -1

idk this is very confusing

[lunar harbor]

[jagged nimbus]

Another example

At this way its easy but the other one i just cant do it

[lunar harbor]

are we just ignoring this

[jagged nimbus]

I'm sorry

Lets see

[jagged nimbus]

But if i do that theyll will be 3(?

They all*

[lunar harbor]

I only calculated this one

I’m saying the other three are the same process

So writing it out for all 4 is fairly pointless

[jagged nimbus]

So

[devout snow]

@jagged nimbus Has your question been resolved?

[jagged nimbus]

I JUST DONT KNOW WHAT TO DO W THIS ONE

I CANNOT SOLVE IT

[devout snow]

@jagged nimbus Has your question been resolved?

[devout snow]

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[restive river]

,rotate

[restive river]

Can somebody give me a starting point

[wooden wraith]

Try finding RM in terms of x

[restive river]

is r the midpoint of bp

[wooden wraith]

Yeah

That's not given, but since BUMP is a square, U and M are each the same height above B and P respectively

which means they are placed symmetrically along the circle

and R is the center of the circle, so B and P must be equidistant from R

[restive river]

Okay

i got 1.12x for RM

[wooden wraith]

That's right, but you probably shouldn't round

It's sqrt(5)x/2

[restive river]

Okay so should i try to find SA

[wooden wraith]

If you can, but I'm not sure if that's possible without finding the whole square first

[restive river]

Im not sure how to prove it but i think that ST is 2x

[wooden wraith]

Not quite

[restive river]

Okay

[wooden wraith]

Think about what you have so far, why do you think RM is important?

[restive river]

Im not sure

It would be the same as RU

[wooden wraith]

Yeah, how do you know?

[restive river]

Because BR = RP and BU=MP

[wooden wraith]

Ahh that's true, but I was going for something else

[restive river]

What were u going fort

[wooden wraith]

Think about the circle

[restive river]

Is it the radius

Idk bro😭

[wooden wraith]

Yes

[restive river]

Okay

[wooden wraith]

All the radii of a circle are the same

So yes RM is the same as RU

But its also the same as RT

[restive river]

You are right

that makes sense

[wooden wraith]

And from there I think you can find the area of the large square

[restive river]

yes

i got 5x for the area of the larger square

[wooden wraith]

Should be 5x^2 I think

[restive river]

forgot to type the exponernt

[wooden wraith]

Yep that's right

[restive river]

I got 1:5 for my final answer

[wooden wraith]

Yep 👍

[devout snow]

@restive river Has your question been resolved?

[devout snow]

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• Show your work, and if possible, explain where you are stuck.
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[humble galleon]

Can someone explain to me how i'd do this problem?

[humble galleon]

Not cheating on a test by the way, this is a screenshot from my preparation class. 👍

[heady plinth]

Viettas formula

Every quadratic can be factored into a(x-r1)(x-r2)=0 yea?

[humble galleon]

Can you explain it to me like i'm 5?

or 8 I just do not understand this in complex terms / do not understand what those equations mean

[heady plinth]

There are formulas made by a guy called vietta that help in this exact scenario

But the way they teach them in school sucks

Because it’s treated like rote memorization

You can derive them easily

[heady plinth]

Do you agree with this

[humble galleon]

i have no idea what it means nor do i understand it how can i agree with it

[heady plinth]

I’m just saying every quadratic can be written in factored form

Instead of ax^2+bx+c=0

[humble galleon]

oo

okay that makes more sense

[heady plinth]

r1 and r2 are the solutions

The roots

Now expand the left hand side

Get rid of the parenthesis and foil

See what you get

[humble galleon]

Gotcha, thank you!

.close

[devout snow]

Channel closed

Closed by @humble galleon

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[heady plinth]

@humble galleon

You should end up with this as a result

[humble galleon]

Thanks!

I'll use that, much appreciated!

.close

.close

sobs

@heady plinth Can you close it?

[heady plinth]

It’s closed