integral theorem

[final cobalt]

in the integral avarage theorem proof, why can i say that (integral)/b-a (which is the length on the interval) = avarage value of the function?

[finite ingot]

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[misty dagger]

send the full picture

i cant see M m

[final cobalt]

it’s in italian

[misty dagger]

can u highlight where js that written

[misty dagger]

ts

or is that a diff page

[final cobalt]

bottom right

same page

[misty dagger]

the average value of a function is defined as $\frac {\int_ {a}^{b} f(x) dx}{\int_ {a}^{b} dx}$

🙏🏿

[acoustic spade]

jussy

[misty dagger]

finally

[misty dagger]

@final cobalt

thats the defination of average of a function in a interval (a,b)

like mean is sum(xi)/n

[final cobalt]

oh so it’s a definition

i thought it was the theorem itself

😭

[misty dagger]

well

[final cobalt]

the denominator is just b-a right?

is it normal to study these proof in highschool btw

no other people in my school do this

i can’t take it anymore

i can’t remember all these proofs for a test 😭

prob got around 30 proofs 😔

[misty dagger]

its very normal

[final cobalt]

ah alr

i just think it’s too much stuff for my brain to remember considering maths isn’t my only subject 😔

[misty dagger]

i get what ur trynna say but if i dont study ts now it will be very tough in college

[final cobalt]

yea ig we will have it easier later on

[misty dagger]

ur not supposed to memorize them bruv

[final cobalt]

it’s not like i can come up magically with them???

i don’t memorize them without understanding them ofc

but i at least need to know the base concept of it

most are easy to not fully memorize

some aren’t

[misty dagger]

you can once u have studied them in ur class attentively

[final cobalt]

like concavity theorem i hate it 😭

[misty dagger]

thats the easiest one bro

you wanna know how i memorized it?

[final cobalt]

well if i don’t remember that to prove this theorem i showed u i have to use Weierstarsss, trust me i am NOT coming up with a solution 😭😭

i at least need to know that i have to use weirestarss

[final cobalt]

yea

it’s just that there are many steps to do so it’s kinda ass

like, derivatives proofs are way easier cause u just have to do some algebraic operations mot of the time

de hospital is easy to prove too luckily

[misty dagger]

you know when a parabola is concave upward and downwards

[final cobalt]

yea

[misty dagger]

just assume f(x) = x^2 , now f'' = 2, its positive, we know x^2 is concave upward, so f''>0 is for concave upward

you can remember a lot of theorems like this

[final cobalt]

yes no shit i’m talking about remembering the proof 😭

[misty dagger]

what proof

[final cobalt]

the proof for this theorem

[misty dagger]

😃

[final cobalt]

“if u have a function derivable 2 times in an interval with f’’ continuos in the interval, taken a point c in the interval, if f’’(c)>0 then the function is concave in the point c”

this is what the theorem says

and i hate proving it

😭

u have to use a bunch of different definitions

and criteria

[misty dagger]

oh that type of prooving

[final cobalt]

yea what else do u think i was talking about😭

[misty dagger]

yeah thats still very easy if the slope is increasing the function is concave upwards

do u find ts tough

[final cobalt]

mf u rage baiting 😭

[misty dagger]

wait whay

[final cobalt]

that’s wha i need to prove…

[misty dagger]

is this not how u proove

[final cobalt]

bro😭😭😭

anyways

to do this u take the definition of concave function

[misty dagger]

bro thats a rigid argument wtf

[final cobalt]

(the function stays above the tangent)

[final cobalt]

it literally isn’t

🪦

[misty dagger]

okay we dont do proofs so im safe aha

[final cobalt]

u are proving the theorem using the thesis itself

[final cobalt]

bro😭😭😭

i thought u were with me

i thought

it was normal to do proofs

i believed u…

😔

[misty dagger]

no

we do real maths

the questions

[final cobalt]

real maths is proofs

questions are just applied proofs

this is how u prove the concavity theorem btw

but it’s in italian

[final cobalt]

exercises in calculus are easier than the theory a lot of the time (at least in limits and derivatives, idk about integrals yet)

[misty dagger]

ur doing the wrong exercises

[final cobalt]

yea probably LOL

but i can’t waste my time on exercises if i have to remember these proofs

😔

at least we are ready for uni ig

since uni is proof based

and not exercise based

[misty dagger]

you can only get good at proofs if u know how to use it

[final cobalt]

from what i’ve heard

[final cobalt]

no

[misty dagger]

memorizing wont last long

[final cobalt]

u get good at proofs by doing proofs

[misty dagger]

🤣

[final cobalt]

it’s like saying u know why the vertex of a parabola is -b/2a just cause u did many parabola exercises

😭🙏

[misty dagger]

no its because i proved it so many times

[final cobalt]

“proved” in what way

[misty dagger]

boi

the way how u find the dy/dx= 0

[final cobalt]

considering what u said before, idk if u’d know how to prove it 😭

[misty dagger]

bro i do

[final cobalt]

ah yes another way could be like that

[misty dagger]

i am not used to your math lingo of proofs

[final cobalt]

now, prove why in a minimum point f’=0

🤓

or in a maximum

same thing

[final cobalt]

hahahaha

yea u lucky

[final cobalt]

(fermat’s theorem)

[misty dagger]

because the slope of the tangent is 0 at the maximum/minimum

🤓

ok its may be wrong

way of prooving it

[final cobalt]

https://tenor.com/view/smart-monkey-listening-monkey-speech-bubble-dumb-lion-lion-yelling-gif-977388511909412427

[misty dagger]

idfk how u did it

[final cobalt]

hahaha no worries

u wanna find out?

i can tell u

it helps me revise

[final cobalt]

btw this is wrong because it’s a circular argument basically: you are using the thesis to prove the thesis itself

let me try to find an example

well

let’s say “prove this is a car”

and u say “well this is a car because it is a car”

LOL

[misty dagger]

do you wanna find out why f''(x)= sin(nx/2)cos((n+1)x/2) cosec(x/2) , for n tending to infinity, f(0) is pi^2/6

[final cobalt]

No

[misty dagger]

okay tell me why e^x-1/x for x--> 0 equals 1

[final cobalt]

because

yes

[misty dagger]

no prove it

[final cobalt]

hahahahah

idk my brain is currently fried

i should be able to do this

but

i can’t..

i could prove it with hopital tho

unless the hypothesis aren’t met

ok they aren’t

no wait

[misty dagger]

the l hopital came way after this theorem

[final cobalt]

they are

is this a noticeable limo?

limit?

[misty dagger]

yes but you dont know if the graph of e^-x and y=x intesect at 2 pts or touch

[final cobalt]

mhm

[misty dagger]

let me tell u how its proven

[final cobalt]

wait

i m trying to remember

[misty dagger]

ok

[final cobalt]

give me time

[misty dagger]

sure

[final cobalt]

i know there is a substitution to do

[misty dagger]

😹

no

[final cobalt]

trust

[misty dagger]

u cant do it, its cause ur teacher used circular reasoning

more like

[final cobalt]

oh yes

[misty dagger]

every teacher does that

[misty dagger]

let me js show u how its done or ull js stay confused

[final cobalt]

the circles one is another noticeable limit

[misty dagger]

u know there is a proof to this

[final cobalt]

prove the circled limi

limit

proved the other limit i used to prove the first limit

[misty dagger]

yeah good

[final cobalt]

🔥🔥

how do u prove it

?

[misty dagger]

we use the defination of e

[final cobalt]

mhm

[misty dagger]

e^x = sumx^n/n!

[final cobalt]

ohhh with taylor series u did it

[misty dagger]

1+x+x^2/2...

[misty dagger]

nope

thats the defination of e

[final cobalt]

well we haven’t don’t taylor series so it’s fair we didn’t do it like that

[final cobalt]

e is defined as the limit for x->infinity of (1+1/x)^x

u get that result with taylor series

[misty dagger]

the little thing (1+1/x)^x came from Taylor series

[final cobalt]

the one u told me

[final cobalt]

oh

…

so which one is the true definition

[misty dagger]

the binomial theorem for genreal index is a result of taylor series

[final cobalt]

oh

[misty dagger]

you would know once u study it

dont feel anything now

[final cobalt]

we did binomial theorem slightly

[misty dagger]

hmm

thats why

well dw

[final cobalt]

yea

i don’t think it’s highschool program here

especially taylor series aren’t

[misty dagger]

they arent but i mean

vi

[final cobalt]

i found out about its existence in physics for a SR approximation

[misty dagger]

do you wanna know the proof of taylor seirr

seired

its so fucking eas6

easy

[final cobalt]

i think i saw a vid about it

[misty dagger]

i mean you can intuitively prove it urself

if u had free time

[final cobalt]

i don’t think it would be easy

[misty dagger]

it is 🙏🏿

[final cobalt]

anyways i gotta go now to study Rolle Cauchy and Lagrange

i’ll get back to u in 20mins i think

[misty dagger]

🙏🏿

[misty dagger]

all those are obvious theor3ms bro

[final cobalt]

yea they are

their proofs aren’t as obvious

😭

[misty dagger]

but idk how tough is thier acc proofs

[final cobalt]

uhhh i can’t remember them

i have revised them in months

that’s why i gotta re study them lol

i’ll tell u later if u want

lagrange uses Cauchy or Rolle’d theorem tho

and that’s for sure

Cauchy uses a substitution i think

and Rolle uses weierstrass theorem i think….

yea cya

[misty dagger]

weierstrass ❤️‍🩹

[final cobalt]

my man

gauss too ❤️‍🩹

[sturdy umbra]

Lemme send a proof of the integral theorem for average value of a function, in about an hour

[final cobalt]

@misty dagger ok finished those 3

[final cobalt]

Okay thanks

[final cobalt]

wanna know how to do them?

rolle is the “hardest”

[misty dagger]

yes

[final cobalt]

the others are basically just rolle’s application

Ok so basically

[misty dagger]

let me see those useless proves

[final cobalt]

Rolle says that there is a point c in the interval so that f’(c)=0

(i assume you know the hyooghesis)

[misty dagger]

hypothesis

yes

[final cobalt]

for weierstraß’ theorem, in [a,b] (the interval) there must be a point c and a point d (point of mimum and maximum) so that f(c)<f(x)<f(d)

because thor are the minimum and maximum of the function in the interval

Case 1: f(c) =f(d), but that would mean that the function is constant, so f’(x)=0, so the theorem is simply true

Case 2: f(c) different to f(d). c and d could be in the same place as a and b, but that would lead to the case 1 (because f(a)=f(b) for hypothesis)

Let’s assume that c is in the interval (a,b). We can then say that f(c+h)-f(c) is positive, because f(c) was the minimum of the function

Divide by h

If h is close to 0+, then [f(c+h)-f(c)]/h is positive

If h is close to 0-, then [f(c+h)-f(c)]/h is negative

The only number for which this limit exists (which is the definition of derivative) will then be 0, because otherwise the limits on the left and on the right will have a different sign, meaning it’s a point of non derivabilitt

so f’(c) must be 0

————————-

Now Cauchy

let’s take a function F(x)=f(x)-kg(x)

We want to show that this F satisfies Rolle’s theorem

Is it continuos in [a,b]? Yes because….
Is it derivable in (a,b)? Yes because…
f(a)=f(b)? Let’s find a k that makes this true

By solving that equation u get that k=[f(b)-f(a)]/[g(b)-g(a)]

So now we know for Rolles theorem that in a point c in the interval, F’(c)=0

So f’(c)-kg’(c)=0

so f’(c)/g’(c) = k

with k=[f(b)-f(a)]/[g(b)-g(a)]

Boom cauchy proved

too lazy to prove lagrange too

@misty dagger u get it?

[misty dagger]

damn bro ts step so fire

[misty dagger]

ts one too

i havent thaught it could be proven like that

i mean its still very obvious

but thats impressive

[final cobalt]

yea me neither good thing our teacher tells us how to do these LOL

[final cobalt]

this is very similar to fermat’s theorem

u prove it also by “building” the definition of derivative

[final cobalt]

in fact, fermat theorem is very similar to rolle’s lol

it says that in a maximum or minimum point, f’=0

It goes like this: since “c” is a maximum point, very close to c f(x)<f(c) (in the surroundings of c I(c)). So f(x)-f(c)<0
Take x=c+h,
f(c+h)-f(c)<0

Divide by h, which can be a 0+ or 0-

Same logic applies

So f’(c) must be 0

[misty dagger]

can u not draw a graph and use the argument that if a continuous curve have to pass through 2 points with same ordinates it must have derivative zero in between them, like umm

[final cobalt]

that’s just an example, not a proof

You can’t prove stuff graphically

[misty dagger]

we can use a very general curve

[final cobalt]

“very general” would have to contain every possible curve…

[misty dagger]

yeah im out of this proving shit

[final cobalt]

For example, you can’t graphically prove that e^x stays above y=x even if it very obviously true

Don’t ask me how to prove it cause we haven’t done it

[final cobalt]

haahah yea it’s kinda weird especially when u have to prove stuff that seems obvious

[misty dagger]

because the exponents are always positive for real index

and positive base

[final cobalt]

yea but for x-> + infinity, how can u be CERTAIN that e^x stays above y=x?

You can’t

[misty dagger]

bruh i can

[final cobalt]

y=x is positive too near +infinity

u can’t know if e^x is above it

Obviously if we take a function that is always negative, our proof would be “e^x is always positive, meaning it is above this function which is always negative”

This is a different thing tho

[final cobalt]

how?

@misty dagger mf died😔

[misty dagger]

im writing it waut

wait

in my notebook

cause these discord margins are too small for my marvellous proof

[final cobalt]

LOL

let’s see maybe u found a good way to prove it

Mind you that i don’t know how to prove it (maybe with De L’Hopital….)

by proving that e^x is a bigger infinity than any other power x^a

so limit for x->+infinity of e^x/x^a is always = +infinity for every a belonging to R+

[misty dagger]

@final cobalt

sorry for bad handwriting

[final cobalt]

wait this lowkey makes sense

i think this is solid

u should ask other people on the server tho

[final cobalt]

yea i don’t see why this wouldn’t work

to generalize it?

with x^a

[misty dagger]

its not mine tho i learnred smth similar in my class

[final cobalt]

oh alr

then it’s prob right

[misty dagger]

let me see

[sturdy umbra]

Alright, here is the proof of the integral theorem for the mean/average value of any continuous function defined on the interval [a,b]

[final cobalt]

https://klipy.com/gifs/intense-concentration-the-simpsons

[misty dagger]

im also lowk waiting

[final cobalt]

i mean my proof works too, it was just the end part that i didnt understand

"my" (my teacher's)

[sturdy umbra]

Since f(x) is continuous on the given interval, then by the extreme value theorem, the function has minimum and maximum values, m and M respectively, on [a,b].

Then, for all x in [a,b], m<=f(x)<=M. Thus, by the comparison theorem for integrals, m(b-a) <= integral from a to b of f(x) dx <= M(b-a).

Dividing by b-a gives m <= (1/(b-a)) integral from a to b of f(x) dx <= M.

And to furnish the proof that the function takes on its average value at a point c in the given interval:

By the Intermediate Value Theorem, there exists a number c on [a,b] such that f(c) = (1/(b-a)) integral from a to b of f(x) dx.

The proof is complete

[final cobalt]

i dont know what the comparsion theorem for integrals is, but we end up to the same conclusion so no probnlem

[misty dagger]

its another obvious theor3m

[final cobalt]

Intermediate Value Theorem whats this???

[final cobalt]

is it basicalyl the same as for limits?

[misty dagger]

another obvious theor3n

[final cobalt]

MF I DONT CARE

LMAO

[misty dagger]

ask david i will prolly give a shitty explanation

[final cobalt]

so i cant just say that "integral from a to b of f(x)dx) / b-a " is equal to intermediate value

[misty dagger]

its like minimum and maximum value of a definite integral

[final cobalt]

thats basically what my teacher did

[sturdy umbra]

From what I understand, you can say that.

If you want it to be "complete", you would say that last line of the proof (f(c) equals...)

[final cobalt]

mhm yes

because my teacher just said that "integral from a to b of f(x)dx) / b-a " was equal to a y (written with a line above the y)

[sturdy umbra]

With that said, regarding the questions about intermediate value and comparison theorems for integrals, would you want to discuss those more and/or go through the proofs later today?

[final cobalt]

and then said "since f(x) is continuos, y lined = f(x lined)

thus f(x lined) exists

theorem proved

[final cobalt]

i think that if ill look at another proof today my head will explode

maybe anotehr day hahahah

i still gotta study proofs for limits now

my head is already full

[sturdy umbra]

Sounds good

[final cobalt]

[misty dagger]

david what do u think what helps a student more proofs or questions

[final cobalt]

depends on what the student wants to do...

solving problems? questions

doing proofs? proofs

https://klipy.com/gifs/intense-concentration-the-simpsons

lmfao

[sturdy umbra]

Both. Proofs because it offers a deep understanding of how such formulas came to be derived. Questions because it offers practice, whether it's deriving the formula again, or using the formula to find mean values of functions involving integrals

But there must always be a proof

It's unfortunate that high schools in particular do not ever bother to prove theorems or formulas

[final cobalt]

@sturdy umbra in a formal exam, if u use a certain theorem to solve an exercise, do u have to prove it too?

[sturdy umbra]

If they ask or tell you too, then obviously you do. If not, the theorem itself should be fine

[final cobalt]

it is very unfortunate for me that my teacher does provide us the proofs and asks us them in the tests LOL

[final cobalt]

Alr

[sturdy umbra]

I warn you however

[final cobalt]

mhm

[sturdy umbra]

I'm still in high school, and I haven't taken tests on such things.

If you're unsure, ask the teacher

[final cobalt]

oh so u just study things out of cruiosity?

curiosity*

couriosity

i mean

u get it

curiousity

[sturdy umbra]

Pretty much

It's an interesting subject, you know?

[final cobalt]

thats cool

[sturdy umbra]

Do you like math

[final cobalt]

it really is

yes

i find it beauitufl

but

when i have to study it too much, and also have to study other subjects

i cant really go deeper into the subject

either too tired or dont have time

[misty dagger]

dont study things out of ur syllabus at ts time its not useful

[final cobalt]

also we already kinda go deeper into maths compared to other classes in my school, so most of the time i dont feel the need to look up something more precise

[final cobalt]

syllabus? whats that

[misty dagger]

🙏🏿

[final cobalt]

MF IM ITALIAN

ITS THE 3RD TIME I TELL U

[misty dagger]

programma

[sturdy umbra]

Awesome

[final cobalt]

oh

ty bro

for opening the translator for me

LOL

[misty dagger]

https://tenor.com/view/drake-laptop-drake-gif-21716481

[sturdy umbra]

If you can, develop a time of day (maybe an hour, for example) to devote purely to mathematics

[final cobalt]

https://cdn.discordapp.com/attachments/1043971525574922334/1278590522289553408/togif.gif

[sturdy umbra]

Whether it's school work or not school work

[final cobalt]

if id find 1h to do so id use it for physics not maths

i prefer physics

plus its easier to go deeper into physics

@misty dagger WHAT DO YOU WANT

[sturdy umbra]

And yet you cannot go deep into physics without going deep into math, because physics is built on math

[final cobalt]

yea thats one problem..

but also learning the story of physics experiemnts

history of physics i mean

id like to do that too

not only studying the theory

[misty dagger]

what have u studied jn physics out of ur programma

[sturdy umbra]

Of course. Try to find time to do that

[final cobalt]

what i studied later went in my programma

i anticipated a bit som estuff

without knowing lol

[misty dagger]

litro albry esntn

[final cobalt]

for example einstein's thought experiments

[final cobalt]

uh...

[final cobalt]

i didnt know we would do that

so i did them alone

but we ended up doing some of them

i wont even try to study better general relativity tho lmao, id need tensor calculus

[sturdy umbra]

Do you know about time dilation

[final cobalt]

yea

we finished special relativity already

[misty dagger]

i love procrastinatting by studying math while studying math

[sturdy umbra]

Have you derived the formula

[final cobalt]

LOL

[final cobalt]

yea both with lorentz's transformation and with einstein's clock thought experiments

gedankenexperiment🗣️

[sturdy umbra]

Nice

[final cobalt]

same for lenght contraction

[misty dagger]

sm1 give this man a nobel prize

[sturdy umbra]

Who

[final cobalt]

we kinda derivded everything expect lorentz's transformations

[misty dagger]

vi

[final cobalt]

lmfao why

[final cobalt]

apparently too long

[sturdy umbra]

Alright, well I gotta go

[final cobalt]

oh and also, we didnt derive m=m_o * gamma

[sturdy umbra]

See y'all

[final cobalt]

and kinetic energy theorem

[misty dagger]

for discovering lorentz transformations intuitively

[final cobalt]

byeeee

[final cobalt]

LOL

well they really arent intuitive

[misty dagger]

take this mans nobel prize

[final cobalt]

unless u think about c as constant

oh

[final cobalt]

which by itself doesnt make sense either, but it is how it is

i mean it makes sense physicailly

not in our heads

weird ass

[misty dagger]

thats why i hate physics

fuckass subject

[final cobalt]

well considering i wanna study physics in uni ig ill get a better understanding of GR later in my life

[final cobalt]

physics is BEAUTFIL

dont u dare

i lvoe it

[misty dagger]

okay do this

[final cobalt]

sometimes its weird and im like "uh ok" but 90% of the time is so cool

[final cobalt]

no

@misty dagger died

[misty dagger]

me when im only good with theory and not numerical questions

[final cobalt]

LMAOOOOO

i do ok in both

i also practice questions...

(sometimes)

[misty dagger]

https://cdn.discordapp.com/attachments/1471150324290031850/1471150325208711219/Screenshot_2026-02-11_at_10.27.27_PM.png?ex=698de302&is=698c9182&hm=6d83ad1ccc0d6e01b4c3b113b309a85d563de1c21ac447ca42721a6b33910a41&

[final cobalt]

oh

[misty dagger]

js ask a algebra question atp bro 🙏🏿😭

[final cobalt]

who tf draws resistors like that

[misty dagger]

idk

its not mine

[final cobalt]

https://klipy.com/gifs/intense-concentration-the-simpsons

yea yk one thing i never liked?

circuits

[misty dagger]

ts ez u js need to solve 3 equations for 4 variables

🙏🏿

[final cobalt]

they all stuck together how am i supposed to know which one is in parallel with what 😔

[final cobalt]

how do u do it?

i mean lòik

[misty dagger]

kirchoff sm shit idj

[final cobalt]

voltage between 1-3 and 2 must be the same for sure

[final cobalt]

yea

i think u just put together some equations LOL

but yea i was never good with circuits

[misty dagger]

then fym u luh phyiscs

we both suck

[final cobalt]

LMAOO

well i like physics

expect circuits and kinetic gas theory

[misty dagger]

fluid mechanics

you love that

[final cobalt]

meh

kinda mid

fluid dynamics mid too

[misty dagger]

therm?

[final cobalt]

meh...

[misty dagger]

nuclear physics

[final cobalt]

i dont like when the topic is gasses

[final cobalt]

we havent studied that but it sounds interesting

i liked magnetism and electro magnetism

gravitation

stuff like that

but i HATE gasses

they so lame

[misty dagger]

ohh

i get u

i totally get u

[final cobalt]

we also skipped the only intersting part about thermo /entropy)

[misty dagger]

electromagnetism is the finest thing i have studied in physics icl

[final cobalt]

i think the closer something is to chemistry the more i dislike it

thats why i didnt like talking about moles

LOL

[final cobalt]

see

faraday neumann lenz's law is peak

mad cool

[misty dagger]

6×10^24 moles of electrons in ur ahh

[final cobalt]

also i generally like seeing the experiments

[final cobalt]

https://tenor.com/view/frieren-crying-frieren-crying-frieren-cry-gif-10059262213060210109

[final cobalt]

or the particle accelerators

i prefer sperimental physics

[misty dagger]

yeah but what about grades 😭

[final cobalt]

wdym?

[misty dagger]

u need high grades for college

not curiosity

[final cobalt]

i dont

its different here

[misty dagger]

oh

[final cobalt]

but even if i did, i have a 10/10 😎

rn i got a 9 tho

[misty dagger]

i have a 10/10 in autism does that count

[final cobalt]

its so hard to maintain a high avg in my class

[final cobalt]

yes

[misty dagger]

adhd too

[final cobalt]

to get into uni i just need to take a test, they watch it and they be like "yea well you kinda sucked you should probably not study here"

but u can still get in that uni if u want

(this is for physics)

for engineering, i took another test but this time they choose if u get in or not

i wanted to get into aerospace but my score was too low

[misty dagger]

that sounds great i wish i was italian

[final cobalt]

i could get into mechanilcal or physics engineering

[final cobalt]

yea true its great

[final cobalt]

@misty dagger YES MF I COULD

i got a 63/100

people with 52 got in last year

for aerospace id need a 70+ at least

i doubt i can get in

[misty dagger]

imagine if i was at ur place

id be cooking

[final cobalt]

yea im lazy asf

the problem with that engineering test was the italian part tho

the questions were so hard for no reason

[misty dagger]

like what

show me

[final cobalt]

its like "read this text and answer the questions related to it"

WHY WERE THEY SO HARD

[final cobalt]

its in italian bruh

alsso i dont have any examples rn id have to look them up

[misty dagger]

oh ik those i also get them on my mocks

[final cobalt]

one question was like "by this xxx, does the author refer A. To a job, B. To a profession"

https://tenor.com/view/cat-cat-meme-tweak-tweaking-what-gif-1547006946285359423

my face

my italian skills suck already

how can i know the difference...

WHATS THE DIFFERENCE BETWEEN A JOB AND A PROFESSION

[misty dagger]

how tf is ts supposed to be a requirement for engineering

oh

[final cobalt]

its just general text understanding, its needed to test ur comprehension skills

[misty dagger]

yeah makes sense u gotta know italian

[final cobalt]

which i apparently have none

LOL

[misty dagger]

cause college is italian

[final cobalt]

the last 2 years are only in english tho

well anyways

yea the italian part is the hardest part

physics was easy but i made a stupid ass mistake and lost 4 points

i lost like 15 points in the italian part LMFAO

[misty dagger]

math

?

[final cobalt]

i could have scored above a 75 with a correct italian

[final cobalt]

didnt go too bad, the problem i had was with logic

i think it was something like 20/25

[misty dagger]

ts not bad

[final cobalt]

yea not too bad

if only i knew italian better...

[misty dagger]

how tuff was it

[final cobalt]

logic was tuff

maths uh, depends on the question

[misty dagger]

logic

[final cobalt]

some questions i could get the correct mental steps to solve it

[misty dagger]

thats whole math

[final cobalt]

but couldnt simplify to get to the correct answers

[final cobalt]

no i mean, pure logic

[misty dagger]

BECAUEE U DIDNT PRACTICE QUESTIONS

[final cobalt]

also i kinda suck with combinatiosn and probability

[final cobalt]

LISTEN I TRIED

I DID

[misty dagger]

IF U DID PRACTICE OF THOSE IT WOULD HAVE BEEN HIGHER

[final cobalt]

one logic question was like "there a dorm, one for males and one for females. A guy presses the button 1-2 and hears a girl. He then presses button 2-3 and hears a guy. What buttons did he press to understand how the dorms were displayed and what voice did he hear"

https://tenor.com/view/cat-cat-meme-tweak-tweaking-what-gif-1547006946285359423

obv its not like that

bvut something like thsi

well some logic questions were easy asf

most werent....

idk man im not smart enough for this shit

@misty dagger what uni do u go to / want to go to

[misty dagger]

i havetn applied yet, i will apply for unis in US in some time

i know some unis thst might accept me based on my academic record and uhh smth i wont tell here

[final cobalt]

but like what subject are u gonna study?

[misty dagger]

data science

[final cobalt]

what does it do

[misty dagger]

they get paid good

i think u shld close ts thread

🙏🏿

[final cobalt]

ah right

i was having fun

[final cobalt]

oh

do u even like what u'll study?

[sturdy umbra]

Navier-Stokes Equation of fluid mechanics

[final cobalt]

lol

[final cobalt]

oh yes stokes law was for calculating the friction forces on a ball moving in a fluid right?

[sturdy umbra]

No clue

[misty dagger]

yeah

[final cobalt]

like -6pir^2vn

n was supposed to be that one greek letter

[misty dagger]

eta

[final cobalt]

ah yes

[sturdy umbra]

Still no clue

η

[final cobalt]

yea

[finite ingot]

@final cobalt

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[final cobalt]

+close

[finite ingot]

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[finite ingot]

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