help-41

[tough mica]

ok got it

which is the fourth vector to add then?

we can just choose a vector from the standard canonical basis of R⁴

that is strategically linearly independent to the vectors {(1,1,10, (0,1,-1,1), (-1,-1,0,1)}

for example (0,0,0,1)

[small pendant]

any vector which is linearly independent to the first $3$

[grizzled pagoda]

Arnavutköy

[tough mica]

B = {(1,1,1,0),(0,1,-1,1),(-1,-1,0,1),(0,0,0,1)}

now, lets define the images then

[small pendant]

yes, this works

[tough mica]

we need to find the orthogonal complement of W

[small pendant]

the images of the first $3$ are relatively trivial

[grizzled pagoda]

Arnavutköy

[small pendant]

the orthogonal complement of $W$ will have a basis of size $3$

[grizzled pagoda]

Arnavutköy

[small pendant]

$2$ of these can be defined by the images of $S$ and $T$

[grizzled pagoda]

Arnavutköy

[small pendant]

the third one will represent the image of $(0,0,0,1)$

[tough mica]

W = <(2,1,2,1)>

[grizzled pagoda]

Arnavutköy

[tough mica]

let v = (x1,x2,x3,x4) a generic vector of R4

v . (2,1,2,1) =

2x1 + x2 + 2x3 + x4 = 0

solving for x4

x4 = -2x1-x2-2x3

(x1,x2,x3,-2x1-x2-2x3) = x1(1,0,0,-2) + x2(0,1,0,-1) + x3(0,0,1,-2)

W perp = <(1,0,0,-2),(0,1,0,-1),(0,0,1,-2)>

Im(f) = <(1,0,0,-2),(0,1,0,-1),(0,0,1,-2)>

B = {(1,1,1,0),(0,1,-1,1),(-1,-1,0,1),(0,0,0,1)}

i) f(0,1,-1,1) = (0,0,0,0)

ii) f(1,1,1,0) = (0,1,0,-1)

f(S) = <(0,-1,0,1)>
f(T) = <(-1,0,1,0)>

-1 x (1,0,0,-2) = (-1,0,0,2)

(-1,0,0,2) + (0,0,1,-2) = (-1,0,1,0)

iii) f(-1,-1,0,1) = (-1,0,1,0)

iv) f(0,0,0,1) = (0,0,0,1)

i) f(0,1,-1,1) = (0,0,0,0)
ii) f(1,1,1,0) = (0,1,0,-1)
iii) f(-1,-1,0,1) = (-1,0,1,0)
iv) f(0,0,0,1) = (0,0,0,1)

[small pendant]

yeah this works

[tough mica]

the second vector (0,1,0,-1) is from the basis of the orthogonal complement of W

the third vector (-1,0,1,0) is a vector for which you can express a linear combination out of the other two vectors from the orthogonal complement of W

W perp = Im(f) = <(1,0,0,-2),(0,1,0,-1),(0,0,1,-2)>

this exercises are such a pain in the butt

.solved

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[languid echo]

somebody help me w/ this

[amber wasp]

@languid echo Has your question been resolved?

[sage chasm]

well kirchoff's law ?

and you discuss the shape of the wave since the diodes block the flow of the current for negative values of v_s

[languid echo]

What I think is on the left side and the answer given is on the right side

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@languid echo Has your question been resolved?

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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.

[grizzled pagoda]

938c2cc0dcc05f2b68c4287040cfcf71

[tough mica]

f^{-1} is the preimage not the inverse btw

S = <(6,5,-1),(2,-1,-2)>

T = <(0,1)>

M_(BE)(f) represents

i) f(1,1,0) = (1,-1)
ii) f(0,1,1) = (-1,5)
iii) f(0,1,0) = (5,1)

[amber wasp]

@tough mica Has your question been resolved?

[amber wasp]

@tough mica Has your question been resolved?

[amber wasp]

@tough mica Has your question been resolved?

[willow perch]

what a brilliant name

938c2cc0dcc05f2b68c4287040cfcf71

[leaden fox]

can anyone help me in my channel

[amber wasp]

@tough mica Has your question been resolved?

[edgy lion]

(1,-1,5) dot (x,y,z) = 0 as per the def of T
therefore f^-1(T) is the solution to the linear systems of equations x-y+5z=0
or span( (0,5,1) , (-5,0,1) )

if you find a linear system of equations that represents S then you can just add the equation x-y+5z = 0 to it to get the intersection

[edgy lion]

that turns out to be the single equation 9x-10y+14z=0
making the asnwer the solution to this system
9x-10y+14z = 0
x - y + 5z = 0

9 -10 14
1 -1 5

0 -1 -31
1 -1 5

0 -1 -31
1 0 36

x=-36z
y=-31z

so the basis vector of S n f^-1(T) is

(-36 , -31 , 1)

[tough mica]

?

(1,-1,5).(x,y,z)=0 as per the definition of T?

T is a subspace of R2

[edgy lion]

if x is in T then x1 = 0
if f(X) = x where X is written with respect to B then X dot (1,-1,5) is the first term in x or x1

if we then say that x is in T

x1 must be 0 by definition therefore your vector X must satisfy X.(1,-1,5) = 0

[tough mica]

what is X

[edgy lion]

an arbitrary vector in the preimage of f

X = (X1 , X2 , X3)

just variables

[tough mica]

why

[edgy lion]

if x is in T then its first component x1 = 0

[tough mica]

that's true

[edgy lion]

if you evaluate f(X) you get
( (1,-1,5) . X , (-1,5,1) . X )

[tough mica]

okay

[edgy lion]

,,\begin{pmatrix} 1 & -1 & 5 \ -1 & 5 & 1 \end{pmatrix}\begin{pmatrix} X_1 \ X_2 \ X_3\end{pmatrix} = \begin{pmatrix} 1X_1-1X_2+5X_3\-1X_1+5X_2+1X_3\end{pmatrix} = \begin{pmatrix} (1 , -1 , 5)\cdot X \ (-1 , 5 , 1) \cdot X \end{pmatrix}

[tough mica]

pmatrix

[edgy lion]

ty

[grizzled pagoda]

Gregory

[tough mica]

okay

[edgy lion]

so x1 = (1,-1,5) . X

y x1 tiene que ser 0

entonces, si queremos que X esté en la preimage de f, se tiene que definir como (1,-1,5) . X = 0

[tough mica]

if we want X to be the in the preimage of T under f we need to define (1,-1,5).X=0

[edgy lion]

yes

[tough mica]

what about (-1,5,1).X

[edgy lion]

not relevant because x_2 can be any number according to the definition of T

[tough mica]

how did you found the preimage of T under f

[tough mica]

also, this X is written in B coordinates?

because you are multiplying by matrix M_(BE)(f)

[edgy lion]

yes

so you get a basis vector in B coordinates

I messed up eariler at this step because I forgot it was in B coordinates

but you still need the basis vectors in B those being (0,5,1) and (-5,0,1)

to convert them to standard basis you use the matrix to convert from B coordinates to standard coordinates

that is just the inverse of of the matrix with the basis of B as its columns

[tough mica]

wait but X is in B coordinates or the result of the matrix . X is in B coordinates

[edgy lion]

how

the result is in R2 not R3

[tough mica]

yeah so when we multiply M_(BE)(f) by X

X is in R3 and in B coordinates

(x1,x2,x3)_(B)

[tough mica]

.close

[amber wasp]

Channel closed

Closed by @tough mica

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[pulsar crest]

Jamie has a circular cylinder with a lid. The cylinder has a height of 39 centimetres and a diameter of 65 centimetres. How many balls are able to fit if the cylinder is filled to the top? James fills the cylinder with the number of balls found. Calculate the volume of air inside the cylinder in the spaces between the tennis balls.

[pulsar crest]

I am confused on the second question.

Is it just the cylinder's volume minus the number of balls??

[hidden basalt]

yes

but the size kf the balls arent given

[amber wasp]

@pulsar crest Has your question been resolved?

Channel closed

Closed by @pulsar crest

Use .reopen if this was a mistake.

[amber wasp]

Available help channel!

Send your question here to claim the channel.

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

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

[pulsar crest]

The length of the base of a cuboid is three times the width, X, and its height is h cm. The surface area, A, is 600 centimetres squared. Show that the volume is 9/4(100-x^2).

[pulsar crest]

I know that I have to express h in terms of x because the volume formula is (x)(3x)(h)

But I dont know how to express h in term of x

[shadow stump]

you have an additional piece of information which you haven't used yet

[pulsar crest]

The surface area

I can use that to express h in terms of x

I got h = 225x - 9x^3/4 but i dont think its right

[shadow stump]

can you show you you got that?

[ionic nest]

u got a picture of the question?

idk if the suface area is widthxheight, or lengthxheight or lengthxwidth

[pulsar crest]

Yes i can send it

[ionic nest]

total suface area

[pulsar crest]

Part c and b

Are confusing me

[ionic nest]

oh light work lemme try it

[shadow stump]

well can you start by finding the surface area in terms of h and x?

[ionic nest]

a gives it

[pulsar crest]

6x^2 + 8xh

Okay I got

10-x/8x = h

[ionic nest]

what

[pulsar crest]

600 = 6x^2 + 8xh

100 = x^2 + 8xh

[ionic nest]

no

that

[pulsar crest]

10 = x + 8xh

[ionic nest]

u cant

[shadow stump]

how did this follow?

[pulsar crest]

I divided 600 by 6

[shadow stump]

but if you divide both sides by 6, you have to divide everything by 6

[pulsar crest]

okay this is why i hate school

i got taught that u "bring it over to the other side" in grade 8

and now that has ben ingrained in my head and that method is so dumb

[pulsar crest]

i keep forgetting oops

[ionic nest]

oh how i miss highschool

any questions?

[pulsar crest]

Cant ibring the 6x^2 over

600 - 6x^2

[shadow stump]

you can

[ionic nest]

id rather not

[pulsar crest]

Oh wait let me see

[ionic nest]

but u can

[shadow stump]

you can do anything as long as it is performed on both sides of the equation

[ionic nest]

👏

[pulsar crest]

Wait why isnt it (300/x-3x)/4

[shadow stump]

it is, but you can distribute

[pulsar crest]

i cant believe im doing gr. 12 math and i somehow cant do this 💀

[pulsar crest]

how??

[ionic nest]

💀

thats a crazy statement

[pulsar crest]

ikr

and its ib math too

[shadow stump]

,, \frac{a + b}{c} = \frac 1c (a + b) = \frac ac + \frac bc

[grizzled pagoda]

cloud

[ionic nest]

THATS A CRAZY STATEMENT

[pulsar crest]

i can do summations and logs and all that but somehow basic algebra

i still mess up on

[ionic nest]

ah yes classic math students

i do that all the time

[pulsar crest]

oh omg this is my last yr though of math

[pulsar crest]

Oh

i understand that but i dont think

if a question like that

came on the test id be able to do it

[ionic nest]

i like to think of it like this

for any multiplication or division

i apply it for every added or subtracted term

[pulsar crest]

How did they get 300 - 3x^2/4x

[ionic nest]

yea its the same thing

[ionic nest]

they didnt factor out in the first step

ill do it for you

[pulsar crest]

this textbook though btw is so untrustable

im not even joking 40% of the answers

r wrong

[ionic nest]

its right this time

[pulsar crest]

I understand most of it but how does 600-6x^2/8x

turn into that

[ionic nest]

divide by two

[pulsar crest]

OH

Andn ow to express it

So

[pulsar crest]

V = l * w * h

[ionic nest]

i forgot to write the 8h on the bottom

[pulsar crest]

V = (3x)(x)(300-3x2/4x)

[ionic nest]

u need help for that man?

[pulsar crest]

LET ME SEE

IF I CAN DO IT

[ionic nest]

LMAO

[pulsar crest]

this is literally so embarassing omg

bc i did that in like grade 5, 6, 7, etc.

let me see

i hope i can

[ionic nest]

theres no way ur a guy after typing "literally so"

[ionic nest]

glhf

[pulsar crest]

Never have I felt so embarassed

at my math ability

[pulsar crest]

ofc

[ionic nest]

its ok to ask for help

[pulsar crest]

IMMA DIE FROM THIS

[ionic nest]

IT IS OK

[pulsar crest]

I got to (3x^2)(300-3x^2/4x)

I dont know what to do after

im guessing i turn them int othe same fraction?

so

[ionic nest]

how

why

[pulsar crest]

wait no

[ionic nest]

its right

[pulsar crest]

thats for adding and subtracting

[ionic nest]

but why

[pulsar crest]

i multiply across?

(3x^2)(300-3x^2)

[ionic nest]

would u put the x

in the 3x

HUH

whered the denominator go?

[pulsar crest]

Im imagining them as fractions

3x^2/1 * 300-3x^2/4x

[ionic nest]

what

ok

but like

why

[pulsar crest]

I cant think of anything else

[ionic nest]

ur making it harder

[pulsar crest]

it just make sense

[pulsar crest]

What should i do?

im so embarrassed at my math skills 😭

[ionic nest]

its ok

lemme write it down

[pulsar crest]

tysm

I probably shouldnt have started studying last minute

for my trig test tmr.

[ionic nest]

HAHA i remember when it was only tests

[ionic nest]

dont even sweat it

i had exams where i didnt start studying until an hour before

[pulsar crest]

the trig is easy

[ionic nest]

its light work

[pulsar crest]

its these formulaes

and geometry thats hard

[pulsar crest]

tysm!!

ur saving me

In the future once im, if ever, good as u ill also save people in math 🥰

[ionic nest]

ok

like

im in first year uni

trust me

it gets harder

real fast

[pulsar crest]

Do u rly think im going to do math in uni?

Im a future lawyer or doctor im too dumb for math

[ionic nest]

what u trying for?

LMAO

ok

[pulsar crest]

and politican but anyways

[ionic nest]

if i ever get hurt or am stuck in a legal problem

ima hit u up

i expect one free service for this

[ionic nest]

if you want to at the end, you can factor out an x

but rlly no point

[pulsar crest]

What happened to the (3x)(300-3x^2)/4 that made it 900x-9x^3?

[ionic nest]

the x

on the top

and on the bottom

oh wait

[pulsar crest]

oh distributed

[ionic nest]

yea

[pulsar crest]

OHH THAT MAKES SENSE

[pulsar crest]

THANK U!!

[ionic nest]

:thumb:

damn

[pulsar crest]

as much as you need

[ionic nest]

now thats embarrasing

👍

[pulsar crest]

i agree its so embarassing

OH I MEANT

my math skills

[ionic nest]

😢

[pulsar crest]

not the thumbs ups oops-

NO i didnt mean that!!!

[ionic nest]

its ok

i get it

u got ur help

[pulsar crest]

i am so grateful

tysm

[ionic nest]

lol nw

hmu if u got anything else

[pulsar crest]

tysm (i probably will need to ask)

[ionic nest]

lmao

[pulsar crest]

Omg, this question is weird

[ionic nest]

welcome back

[pulsar crest]

From the top of a vertical cliff 70 metres high, an observer notices a yacht at sea.

The angle of depression is 45 degree. The yacht sails directly away from the cliff and after 5 minutes the angle of depression is 10 degrees.

How fast does the yacht sail in km/h?

[pulsar crest]

Thank you

[pulsar crest]

OMG IM SUCH AN IDIOT

We do not use the angle of depression, right, as it is outside of the triangle?

[ionic nest]

yes but thats fine, u understand it now? or need me to help

[pulsar crest]

I think I understand it now. thank you :)

11:11 make a wish!

[pulsar crest]

Again tysm for helping me,

[ionic nest]

so you do that too

[pulsar crest]

I am just wondering if i should keep this channel open (i know for a fact i will have more questions as they get harder)

[ionic nest]

all good mate

[pulsar crest]

But the hard ones i wont reach for likeee 15 minutes

[ionic nest]

eh its ur choice

[pulsar crest]

r u british?

[ionic nest]

no

[pulsar crest]

Ill keep it open, ty!

[ionic nest]

just cause i say mate

doesnt mean im british

[pulsar crest]

Oh true oops

[ionic nest]

also theres no way u asked that as "the queen"

[pulsar crest]

No i asked that as a canadian

so im also not british i fear

[ionic nest]

canadian eh

[pulsar crest]

Yes!!

i fear im stuck on another question

I got 33.1 metres

The book got around double my answer

[ionic nest]

sup

alr lemme see

[ionic nest]

same

[pulsar crest]

what province if i may ask?

[ionic nest]

ontario

[pulsar crest]

same!

The class im doing right now is registered under advanced functions

but it isnt

[split kraken]

MHF4U...

[ionic nest]

oh yeaaa

[pulsar crest]

yes that!

[split kraken]

I wish it was a little... better

[pulsar crest]

we do completely different things. weve done some functions though

i much prefer the ontario curriculum

its so much better

and the worksheets r relaxing unlike this textbook

[split kraken]

I hope that's not McGraw-Hill Ryerson

[ionic nest]

ok so i didnt completely solve it

but i gave you the first few steps

[ionic nest]

u good with that? or need to to complete it?

[pulsar crest]

I think I got it but I’m not sure if it’s right

The book got a higher number

[pulsar crest]

It’s worse

[ionic nest]

oh what was the answer

[ionic nest]

i got a similar number

[pulsar crest]

It got like 62.1

[ionic nest]

rlly?

[pulsar crest]

Let me double check

Oh it got 60.1

[ionic nest]

yup

thats what i got too

[pulsar crest]

Oh for the next question,

Find the smallest angle of a triangle with side lengths 6, 7, and 8

How would you even do that?

Wouldnt that use an inequality or like

[ionic nest]

cos law

[pulsar crest]

the ambigious case

Oh

[ionic nest]

that would work too

[pulsar crest]

but then u have 3 unknowns-

sinA/6 = sinB/7 = sinC/8

[ionic nest]

whatever do you mean

[ionic nest]

whyd you do sin law

[pulsar crest]

ur funny

[ionic nest]

yes ik

which city btw

got me curious

[pulsar crest]

london

[ionic nest]

💀

[pulsar crest]

ik its the worst

i hate it

most boring city EVER

[ionic nest]

its not bad

[pulsar crest]

but im actually not from ontario

[ionic nest]

western is pretty chill

[pulsar crest]

Ew

[ionic nest]

hey

[pulsar crest]

I dont want to end up there

[ionic nest]

thats where im at

thats rude

[pulsar crest]

OMG I didnt mean it like that

just for my career path

[ionic nest]

tsk tsk

[pulsar crest]

its still an amazing uni

[ionic nest]

nahhh

cant take it back now

[pulsar crest]

oops

im sorry!!

but im not even from ontario

[ionic nest]

then?

[pulsar crest]

im from saskatchewan actually but we moved to ontario some time ago

[ionic nest]

uk

when i was younger

[pulsar crest]

ooo

[ionic nest]

i always called it

[pulsar crest]

u moved from the uk?

[ionic nest]

sasquatch

[pulsar crest]

saskatchewan

[ionic nest]

u know

[pulsar crest]

fun fact the capital regina

is latin for queen

[ionic nest]

i always called that vagina

:D

[pulsar crest]

ERM

[ionic nest]

i was horrible with names

[pulsar crest]

Uhhh

[pulsar crest]

some ppl pronounce it

[ionic nest]

alberta was just albert to me

[pulsar crest]

ree-gee-na

which is awful omg

[ionic nest]

ontario was toronto for me for a while

[pulsar crest]

ontario is literally just toronto

[ionic nest]

the gina is similar to vagina

right?

[pulsar crest]

but its pronounced

ruh-jiy-nuh

[ionic nest]

nerd

[pulsar crest]

it should be obvious though omg

[ionic nest]

thats literally the same thing as vagina

[pulsar crest]

basic pronunciation

[ionic nest]

instead of ruh

we got va

[pulsar crest]

but one is an awful word

the other is 🔥

[ionic nest]

yes ik, i was just saying when i was younger

it was much easier

[pulsar crest]

thats hilarious though

[ionic nest]

to remember vagina then regina

[pulsar crest]

but sadly the queen is dead

[ionic nest]

saskatchewan was sasquatch too

[pulsar crest]

oh my

[ionic nest]

sadly?

[pulsar crest]

yes sadlyyy

[ionic nest]

i always called it chewbacca cause of that

[ionic nest]

im not sure if its sad

[pulsar crest]

i can fit in saskatchewan properly when drawing maps

[ionic nest]

i cant draw maps

[pulsar crest]

its the saddest!

she was an aamzing person! how sad it was

a twin pillar of iconicness

[ionic nest]

Newfoundland and labrador was always the dog province for me

[pulsar crest]

the celebrity of celebrities

[ionic nest]

eh

[pulsar crest]

exactly they are awful provinces

[ionic nest]

she lived long enough

[pulsar crest]

that is true

[ionic nest]

no cause there are dog breeds with those names

[pulsar crest]

better to die in peace than to suffer

[pulsar crest]

oh that too

[ionic nest]

bc

was

bc

cause like

[pulsar crest]

drug province now

[ionic nest]

yea

[pulsar crest]

but in the past i always thought of victoria

and vancouver & like water

[ionic nest]

yea

wait

[pulsar crest]

& sunsets

[ionic nest]

i just realised

[pulsar crest]

WHOA OMG

[ionic nest]

what are the odds

[pulsar crest]

U SPELL REALIZED AS REALISED

TOO

THANK GOD

finally ssomeone who recognises the s makes it look much prettier

than the z

[ionic nest]

?

no i just alternate

[pulsar crest]

u spell it realised instead of realized

[pulsar crest]

ikr

[ionic nest]

sometimes its s

[pulsar crest]

probability

[ionic nest]

sometimes its z

[ionic nest]

yea that we are both in london

[pulsar crest]

i changed from z to s in gr 8

[pulsar crest]

such an interesting coincidence

[ionic nest]

like imagine all the thigs

[pulsar crest]

we're in the same city

unbelievable

[ionic nest]

first we need to be on at the same time

then same server

then u ask for help

and im helping

[pulsar crest]

and out of all the ppl here it was u

[ionic nest]

then i click on ur channel to help

[pulsar crest]

and that too

[ionic nest]

yea crazy stuff

[pulsar crest]

what s the probability of that

that was our last unit

probability

[ionic nest]

hella low tbh

[pulsar crest]

standard deviation and stuff

[ionic nest]

i hated that unit

[pulsar crest]

real

i hate probability

but i love statistics

[ionic nest]

nah but ur a girl right

around my age

i need dating advice

[pulsar crest]

mhm

[ionic nest]

im super lonely

[pulsar crest]

Erm

[ionic nest]

how do i get girls

at uni

teach me

[pulsar crest]

I havent dated either i fear 😛

[ionic nest]

damn

[pulsar crest]

HOW DO I KNOW im not in uni 😭

[ionic nest]

u r girl

whos 18

[pulsar crest]

i personally dont want to yet

[ionic nest]

or 17

[pulsar crest]

im 16

[ionic nest]

damn

ur born in december

[pulsar crest]

im in grade 11

[ionic nest]

DAMn

ok

2 years

its fine

[pulsar crest]

now i feel so old omg

[ionic nest]

18 year old girls have similar tastes im sure

tell me

how do i charm girls

[pulsar crest]

Okayyy best tip

[ionic nest]

what should i say

[pulsar crest]

let me think!!

[ionic nest]

ok

[pulsar crest]

i fear i cant tell u that im just as clueless

[pulsar crest]

i think u should just go up to them & jst chat and be nice

[ionic nest]

ok

[pulsar crest]

OMG

[ionic nest]

like i get that

[pulsar crest]

DONT TRY TO

like

just dont try to rizz ppl up

[ionic nest]

damn

[pulsar crest]

as in use annoying pick up lines

[ionic nest]

it isnt that easy?

[pulsar crest]

be creative

[ionic nest]

ok

wait

[pulsar crest]

oh god we're going to get in trouble for not discussing math

[oak quartz]

what in the world 😵‍💫

[ionic nest]

lets keep this as math help

[pulsar crest]

And then you do the pythagorean

[ionic nest]

yea

[oak quartz]

lmao

[ionic nest]

mhm

[pulsar crest]

uhm and then the

[ionic nest]

and use sin law

[pulsar crest]

correlation coefficient

Yes

[ionic nest]

to figure out

the distanc

from me and girls

[pulsar crest]

Yep exactly!

[ionic nest]

damn

great stuff

[pulsar crest]

soon to be 0 metres

[ionic nest]

great stuff

[ionic nest]

maybe negative if u catch my drift

[pulsar crest]

Oh god 😭

[ionic nest]

ok im losing myself

lets uh

[oak quartz]

hey, even if you feel like there's probability 0 that you'll get girls, it might just be a measure 0 subset of the sample space

[ionic nest]

u got any other math questions?

[ionic nest]

i wish bro i wish

[pulsar crest]

Im working through them 1 by 1

[ionic nest]

but like

[pulsar crest]

Okayyy but this is actually such a grand coincidence. may i friend u?

[oak quartz]

which means that you almost surely won't get girls

[ionic nest]

sure lol

[pulsar crest]

I dont use discord a lot besides for math help but this is so amazing omg

[ionic nest]

damn

[ionic nest]

i just have it pinned

so i come whenevr im bored lol

[ionic nest]

i mean as a league player

[oak quartz]

im just making a dumb probability theory joke

ignore me

[ionic nest]

nah

i wont

[oak quartz]

:^)

[ionic nest]

if my chances with girls are 0

i gotta change it up

whats a guy like you doing tonight

[oak quartz]

lmaooo

I'm procrastinating on studying for my probability theory and analysis finals

[pulsar crest]

GOOD LUCK!!

i am a master procrastinator too

[ionic nest]

me too

i got a physics exam in a few hours

[pulsar crest]

I have 30 questions to get through and im only on 16

[pulsar crest]

OMG that must be rlly hard

[ionic nest]

and i skipped the last 20 lectures

[pulsar crest]

I dont rlly like physics but i love chemistry

[pulsar crest]

Oh-

[ionic nest]

i have yet to catch up but im sure thats fine

[ionic nest]

nerd

[oak quartz]

lmao me in linear algebra last spring

[ionic nest]

eyy second year eng student?

[oak quartz]

nah im math :^)

[pulsar crest]

chemistry is so relaxing

[ionic nest]

NERD

[pulsar crest]

its so calming omg

[ionic nest]

dude nah

wait

[pulsar crest]

but everything else

is a headache

[ionic nest]

til u get here

[oak quartz]

nah, engineering is way nerdier

[ionic nest]

nuh uh

[oak quartz]

yuh huh

[pulsar crest]

no omg how would i ever hate chemistry

i lovei t

[ionic nest]

HAHA

HAH

HAHA

[pulsar crest]

its so amazing

[oak quartz]

chemistry is terrible because it's practical

[ionic nest]

dude im struggling in chem

[pulsar crest]

its amazing

[oak quartz]

same with engineering

[pulsar crest]

the practicality of it

[ionic nest]

just finished my final exam

[pulsar crest]

what r u doing in chemistry?

[ionic nest]

a few days ago

i think my final marks is a mid 80

like bruh

i cant

[pulsar crest]

that isnt bad

thats a good mark!

[oak quartz]

the thing about math that's so good is, you can untether yourself from this mortal coil and float away into abstraction

[ionic nest]

its horrible

[pulsar crest]

honestly my marks dropped a lot this yr

[ionic nest]

dude

[pulsar crest]

compared to last year

[ionic nest]

are u TRYNA rizz me up?

if so

its working

[oak quartz]

what if i am 😼

[pulsar crest]

But chemistry

is so beautiful

[ionic nest]

then we got chemisty

[ionic nest]

im doing

i dont know what im doing

in chem

i just see problem

do problem

forget problem

[pulsar crest]

Oh my-

i have such a good chem teacher

like THE BEST

all my other teachers r awful

and dont get me started w my math

bald, short, rude, mean, incredulous

etc.

[ionic nest]

chem teachers always seem really interested in their subject

[pulsar crest]

et al.

[oak quartz]

this is why you gotta learn abstract algebra. joe gallian:

the symmetry group of a molecule reveals some of its possible (or impossible) chemical properties

[pulsar crest]

THEY ARE

SHE IS SO GOOD

AT TEACHING

so engaging and fun and good

i understand everything

[ionic nest]

damn... so i got no chance with u huh

[pulsar crest]

but in math? no! i have to do all the

reading omg

[ionic nest]

i feel personally offended

whats wrong with short bald men

[oak quartz]

ok i wont blame you for dislike in math. it doesn't get good until linear algebra. it gets pretty good in analysis, but it truly gets amazing in algebra

[pulsar crest]

Omg no !! i didnt mean it like that

unless ur my math teacher 😠

[oak quartz]

you just need to get through it for a while

[pulsar crest]

GIRL

I USE TO LOVE MATH

[oak quartz]

and it will prove to be the best subject

[pulsar crest]

I CAME IN DURING LUNCH

T ODO MATH

just last year

[ionic nest]

but i was teaching u math.... like an hour ago

[pulsar crest]

id ask for extra practice

[pulsar crest]

my legal math teacher*

[ionic nest]

NERD WTF🤓

[pulsar crest]

ikr

[ionic nest]

dude

[pulsar crest]

i was a math nerd

i got a 98 as a final mark somehow

and now look at mee!!

[ionic nest]

if i didnt have a text/quiz/exam in the next few hours i never payed any attention to anything

[pulsar crest]

its so hard to pay attention in math class

[long charm]

guys please discuss only math here, just a request :))

[ionic nest]

thats like, a few percent better than me..... :(

[pulsar crest]

Sorry, of course.

[oak quartz]

lmao i got a 24 on my probability theory midterm

[ionic nest]

yes sir 🫡

[ionic nest]

yikes

[pulsar crest]

U guys r amazing at math. math divas but we should change the topic to math

[oak quartz]

final in 1 day 💀 i have not started studying

[pulsar crest]

So question 16,

I used the

Cosine law

[ionic nest]

the other guy didnt even do anything yet

[pulsar crest]

c^2 = a^2 + b^2 - 2ab cosC

8^2 = 6^2 + 7^2 - 267 cosC

[ionic nest]

LMAO i think he left after that comment

[pulsar crest]

64 = 85 - 84cosC

-21 = -84cosC

[ionic nest]

why is the 6 pizzazzed?

[pulsar crest]

-21/-84 = cosC

cos inverse (-21/-84) = C

C = 75.52 degrees

[oak quartz]

ngl i am badly in need of help on this

[pulsar crest]

Thats weird

[oak quartz]

last time, i was told to learn some stuff abt characteristic functions first. well, now i have

[pulsar crest]

i fear thats way above what i know.

Godspeed.

[oak quartz]

i still have no idea how to do it tho

[pulsar crest]

u can do it x

[ionic nest]

did you use the "check your class" or "ask your friends" theorem?

[pulsar crest]

This makes sense.

[oak quartz]

my friend has a theorem?

[ionic nest]

or maybe try the chatgpt formula

[pulsar crest]

My textbook got 46.6 degrees?!

How?!

[oak quartz]

lmao would chatgpt actually work?

[ionic nest]

idk

[ionic nest]

try the other two angle

pick the smallest

[pulsar crest]

Oh right!

[ionic nest]

or now u can use sinlaw

instead of cos law

[oak quartz]

i think i probably need to figure out the characteristic function of dirac delta and then figure out when this one doesn't converge to it

[ionic nest]

bro is asking the question

then helping himself

[oak quartz]

it's all-in-one math!™️

[pulsar crest]

sinA/6 = sin75.52/8

[ionic nest]

yes

[pulsar crest]

sin75.52*6/8 = sinA

So 46.6 degrees

[ionic nest]

yes

👍

[pulsar crest]

ty! im doing the next question now

[ionic nest]

alr

[oak quartz]

no i left to find 6.28 in my textbook and screenshot it lol

[pulsar crest]

I did the first part but b doesnt make any sense

[oak quartz]

wdym doesn't make sense?

u don't know how to do it or you don't know what it's asking?

[pulsar crest]

I dont know what law I would use

I dont know how to do it

oh wait omg

[oak quartz]

well

you could use heron's formula

[pulsar crest]

What's that?

[ionic nest]

bro

[oak quartz]

since you've already done part A

[ionic nest]

no

nobody knows that

[oak quartz]

lmaooooo it WOULD work

oh come on

[pulsar crest]

Wth

[oak quartz]

anybody who's done a little competitive math in middle school knows that

[ionic nest]

does it look like we did that

[pulsar crest]

competitive english and science but never math

[ionic nest]

u guys do competitions???

[pulsar crest]

I can just use sine law

I think

[oak quartz]

well I don't know! I was trying to be helpful and heron's formula was the first thing that came to mind 🥲

[ionic nest]

yes

[oak quartz]

of course, any trig thingy works fine too

[ionic nest]

im sorry

do you want a hug?

[pulsar crest]

Oh i think i got it

Srry i keep asking dumb questions

[oak quartz]

i want u to use heron's formula :^)

[pulsar crest]

Its midnight here so im being lazy

[ionic nest]

nah ur fine

[ionic nest]

well

you dont get to

[oak quartz]

actually wait

[ionic nest]

yes i know it is

[grim forge]

Dang

[oak quartz]

i want you to explain 6.28 to me

[pulsar crest]

What's 6.28?

[pulsar crest]

In my textbook?

[ionic nest]

the rlly weird

confusing

stupid

super out of my league

obnoxious

[oak quartz]

(i am badly in need of help)

[ionic nest]

question

[pulsar crest]

go ask some international math olympiad person 🤷‍♀️

[grim forge]

You might be cooked

[ionic nest]

make your own help channel

[ionic nest]

we keep getting visitors eh

[oak quartz]

:(

[ionic nest]

:)

[oak quartz]

it indeed appears so

[grim forge]

Alright that's enough beef fr

[ionic nest]

my happiness comes from others sadness

[oak quartz]

very sadistic of you

[grim forge]

@pulsar crest do you still need help or something

[pulsar crest]

I did hat question but im doing another question

I think ill need help in a moment or 2 again

[ionic nest]

yea shes just been placing em here as she goes through

[oak quartz]

she's a little too dead for that

[pulsar crest]

Ur going to get us all in trouble from the mods for not doing math omg

[oak quartz]

it's been 2 years, atctually

crazy

[oak quartz]

hey! I said heron's formula

did i not?!?

[ionic nest]

since when did a formula from a bird do anything

[oak quartz]

that bird was pretty damn good at euclidean geometry ngl

[pulsar crest]

Okay what thi makes no sense

question d

What does it mean it moves it closer. there are no numbers??

[ionic nest]

idk tbh

[oak quartz]

lmao

[ionic nest]

whoever wrote this needs to go back to highschool to learn english

[pulsar crest]

I think AC should be

shorter than

CB

[ionic nest]

oh wait

ac

not cb

ok

so assume cb is the same

find the other angle you can make the triangle

[oak quartz]

AC and CA are the same line segment 0_o

[pulsar crest]

25, 70, 85

CB is 15.29 metres

AC is 36.04 metres

[ionic nest]

right

but

u use cb

and find the other angle

uk

[pulsar crest]

what other angle??

[ionic nest]

like

[pulsar crest]

in the triangle?

[ionic nest]

if u move it in

ambiguous

type stuff

[pulsar crest]

OH OMG THAT

i barely remember it

[ionic nest]

then find new ac length

i assume at least

if not im blanking

[pulsar crest]

Huh- Im confused what to do mathematically

[oak quartz]

this is quite a poorly worded problem.

[pulsar crest]

the whole book is like that

[grim forge]

I think the keyword is the second region

[ionic nest]

ur better off winging ur test

thats what im doing

[pulsar crest]

no way

im not winging it

[grim forge]

But idk how a second region would be formed

[pulsar crest]

It said earlier

The farmer has another, longer fence. It is possible for him to enclose two different triangular egions with this fence.

[ionic nest]

why not? unless

[oak quartz]

I would say it means to move $C$ s.t. $A\hat{B}C=85$ degrees, but that would make $C$ further from $A$

[ionic nest]

ur one of those tryhard arent u

[grizzled pagoda]

00100000

[pulsar crest]

He places the fence so that ABC = 85 degrees

[pulsar crest]

Yes 😛

[grim forge]

Is there any text before this

[ionic nest]

ew

[ionic nest]

entire question

read em and weep

[oak quartz]

oh wait

this is fucking stupid. the different fence is a different $AB$ I think

[grizzled pagoda]

00100000

[oak quartz]

so you have $AB$ and $A\hat B$

[grizzled pagoda]

00100000

[oak quartz]

🤦‍♂️

[ionic nest]

what no

ab is constant

[ionic nest]

OH

[oak quartz]

oh why didn't you post this earlier 💀

[ionic nest]

theres more

[grim forge]

Yea bruh

[ionic nest]

throwing i tell you

shes throwing

[pulsar crest]

oops

srry guys!

I thought it was unnecessary

[grim forge]

I was wondering why it was just a diagram to start

[ionic nest]

yea i was right

like always

im just too good

its ambiguous case

85 deg is first

[pulsar crest]

What do i do then?

[ionic nest]

u gotta find second with that BC

[oak quartz]

ok so you know by ASS non-congruence non-similarity, there are 4 ways you can arrange this (2 positions for each fence, since they're not perpendicular to AC)

[ionic nest]

https://tenor.com/view/think-mark-invincible-omniman-bhondamous-gif-22025607

[pulsar crest]

what

[pulsar crest]

This is like murderous

[pulsar crest]

using sine?

[oak quartz]

so the only way to make it closer is

[pulsar crest]

sin25/a = sin70/34

Like that?

BC?

[ionic nest]

ok remember sin graph

[oak quartz]

use the longer fence and move it in the position such that C is closer to A

[pulsar crest]

It goes up and down

[ionic nest]

yea

but

[pulsar crest]

sinusodial

[ionic nest]

there are two different values

[pulsar crest]

oh but ambiguous case

i remember that

[ionic nest]

that gives the same y

[pulsar crest]

it was like the quadratic formula but just the

discriminant

[ionic nest]

so find the other

using the law

[pulsar crest]

the ambiguous law?

[ionic nest]

no the sin law

[pulsar crest]

cant i just use cosine law to bypass the ambiguity

[ionic nest]

sure whatever

[oak quartz]

ok sorry ive been tutoring kids in geometry recently, so I've been training to be as precise as possible to them about this stuff

[ionic nest]

a tutor??

could never be me

[pulsar crest]

wait- isnt that what i did?

[ionic nest]

no not that

the coangular

[pulsar crest]

what is that-

[ionic nest]

like

ok

i forget that i call things different from what they are

lemme find the actual name

ok whatever its called

sin(x) = sin(pi-x)

[pulsar crest]

i dont think ive ever seen that

the more we go on the more i think its better just to wing it

[ionic nest]

think of the graph

[ionic nest]

from 0 to pi

right

[pulsar crest]

Its never two things at once-

desmo does it in radians ugh

[ionic nest]

so 45deg = 180-45

on the graph

[pulsar crest]

Yes

[ionic nest]

yes

so sin(45) = sin(180-45)

similarly

sin(x) = sin(180-x)

[pulsar crest]

yes!!

[ionic nest]

so since its the same length or same "y-value"

[pulsar crest]

Oh-

I get that but i dont know how id apply that

to the question

[ionic nest]

well