ug-maths-physics

[thin basalt]

it's using a numerical method

and using that isn't exactly appropriate for questions in that format

[peak shard]

Ya that's kinda cheeating

[floral blade]

um no

=wolf integrate 1/[(x-2)^(3/2) (x+1)^(1/2)] dx
@peak shard I was just gonna do that acc 😂

See here's the trouble: x > 2

You'll need to use a numerical approximation afaik

[thin basalt]

there's another part

(i) is easy asf

and (ii) is always related to (i)

[peak shard]

Ooooh the substitution is the keyyy

[floral blade]

where are you getting these from?

[thin basalt]

STEP exam questions

I was having lunch

[floral blade]

OO @peak shard you're a physics undergrad too?

[thin basalt]

and a teacher I knew well

told me

"try these"

three questions were flown over

smashed right onto my plate

[floral blade]

😂 😂 😂

[thin basalt]

screenshotted from my chat history

[floral blade]

ooh

they are v blurry btw

[thin basalt]

I haven't opened it in full

and the other two pictures are irrelevant

the third that I'm having problems with is already here

[floral blade]

Gosh you didn't give us the substitution, that is evil I say 😂 😂

[thin basalt]

in the real exam

the real STEP exam

[floral blade]

no way

[thin basalt]

examiners aren't kind enough to provide you with substitutions every single time

you'll have to figure it out on your own

I'm not kidding

even though I'm not taking the exam

[floral blade]

ah okayy

i thought they never did, nb

But hey just a personal opinion: don't spend too much time with integrals, you'll be using numerical methods mostly

[thin basalt]

that's exactly what I think

but

it's implied that I have to solve it analytically

[floral blade]

To quote Susskind: https://www.reddit.com/r/physicsmemes/comments/heupzi/thank_you_leonard_susskind/

it's implied that I have to solve it analytically
@thin basalt yeah but I mean the activity as a whole is sorta moot imo, most integrals aren't exactly solvable so hehe

Also I am guilty of playing the lazy physics major here so yeah 😂

[thin basalt]

I'm a chem major

who's heavily affected by engineering

I think this speaks enough

[floral blade]

Lol

[peak shard]

"Lazy physics major" is a true story (of my life)

Time to spam my UG math friend while I finally go to sleep

[thin basalt]

hmm

[floral blade]

https://home.cern/news/announcement/cern/ebooks-all

[wooden imp]

how do i get the solution set of x-2/x+3 < 1 ?

[peak shard]

Isn't this a math question??

I like to shortcut with the graphical way, rearrange into:
(x-2) < (x+3)

Then sketch graph and see where the line y= x-2 is below the line y= x+3. But then again, these lines will never intercept lol so maybe solution is all real numbers?

[thin basalt]

quote from a professor who teaches an open course

"the more letters the acronym of the calculation program you're using has, the more accurate the results are"

[floral blade]

Session_on_Theoretical_physics_-_III.pdf

[wooden imp]

What kind of probability distribution is this?

An airport has recorded an annual average of 60 near-misses on landings in the past 10 years.
Find the probability that during a given month there are at most 4 near-misses on landings at the airport.

<@&597104882482413589>

[tawdry gull]

i think u use poisson there

[wooden imp]

that idea was in my head.

so, what i did was i divided the annual average of near misses with 12.

i get 5 near misses per month.

is the probability of at most 4 near misses 0.1755?

[wooden imp]

here's another confusion.

A fruit juice manufacturer runs a promo and places a winning bottle cap on every eight bottle.

Find the probability that between two to five purchases, you will win twice.

[thin basalt]

binomial?

[wooden imp]

how big is the sample?

[blazing temple]

@wooden imp I feel like it's a geometric distribution for that one...

[wooden imp]

what's the formula for geometric distribution?

[blazing temple]

Where q = 1-p

Sorry for the late reply! p is the probability of a successful event and q is the probability of a failed event. Maybe this helps?@wooden imp

[blazing temple]

@wooden imp Yo did it work out?

Idk if it'd work or not I was just putting in a suggestion

[wooden imp]

the quiz that my class had would not show the answers.

but i guess it worked.

[blazing temple]

Does it give you the right answer? @wooden imp

[wooden imp]

i think so.

[thin basalt]

is it just me or do others also find the pedagogy in textbooks rather rubbish?

no kidding, if it weren't for studying from open courses in the first place

I would've gone all out wtf on the textbook

[floral blade]

😂 😂

Most of the time it's rubbish, but very rarely with a few niche texts it'll give you an idea as to what the author's intent was

Or how they taught that specific course. So I'd just tick off the prerequisites and if they had a method that involves groups or so I'd try implementing it

[thin basalt]

man, I'm marvelling at the sadism some authors have

making students calculate thirty seven orbital operations (doesn't matter what that is, but it's a lot of work to do just one) manually

five is enough

thirty seven?

really?

[floral blade]

Yepp those people deserve to be gosh idk

[thin basalt]

linear algebra is seriously underrated

[floral blade]

IFR!

[wooden imp]

how do i get tan(x) as cos(x)?

<@&597104882482413589>

[tawdry gull]

Tan^2 +1 = sec^2

U hot sec θ already

*got

Just flip it & u get cos θ

[wooden imp]

so, is cos(x) = 1/sqrt(26)?

[blazing temple]

Yep

[wooden imp]

now, how do I get tan(x) from cosec(x)?

[spring cedar]

same method, cosec²(x) -1 = cot²(x), flip and root you get tan(x)

[wooden imp]

here's the question that i'm solving rn.

[verbal iron]

is csc cosec

[wooden imp]

yes

[verbal iron]

CHARLES!!!

easy,

here's the question that i'm solving rn.
@Kelpy G#9367
one way of doing it without a calc is by using the Pythagoras Theorem
another is by taking the reciprocal csc, which will make the value sin
then use cos^2x+sin^2x=1 formula, which will make the cos value of the angle
finally, take the reciprocal of that and you will get the value of sec
[sec=1/cos, csc=1/sin]

[wooden imp]

how do i prove this identity?

<@&597104882482413589>

[lucid turtle]

im not sure where I am making my mistake

i keep getting -4

I did it

@wooden imp

u need working?

[wooden imp]

how did you get 2sin(x)cos^2(x) from 2sin(x)cos(x)?

[vernal apex]

we can write sin2x as 2sinxcosx

so 2sinxcosx*cosx = 2sinxcos^2x

[lucid turtle]

yes

[wooden imp]

Is this question correct? Or am I missing more values? (SS stands for Solution Set)

<@&597104882482413589>

[wooden imp]

How do I prove this question? <@&597104882482413589>

[tawdry gull]

@wooden imp

[wooden imp]

thanks.

[twilit badger]

how do i prove this identity?
@wooden imp just take LCM and apply identities

u will get sin2x in numerator and sin2x/2 in denominator

[slender bear]

guys u know how scalar triple product can be used to find volume of parallelopiped?

now there's a formula in our book that is that 1/6 * scalar triple product of a tetrahedron gives its volume

i understand how u get the volume of a parallelopiped from a basic STP but why do we have to divide it by 6 for a tetrahedron

conveniently enough my book doesnt offer any explanation either

<@&597104882482413589> ?

... hoping this makes sense

[peak shard]

Do 6 parallelopipeds put together form a tetrahedron?

[slender bear]

i don't think so

6 parallelograms make a parallelepiped though

anyhow found an explanation here incase anyone else is interested https://math.stackexchange.com/questions/1144478/tetrahedron-volume-relation-to-parallelepiped-and-pyramid

[blazing temple]

Idk if you still need this, but here's how I found out how to do it: (sorry only just saw this 👀)

[floral blade]

Interestingg

[slender bear]

ooh nice way to put it

thank u @blazing temple

[warm agate]

@blazing temple love yr handwriting

[blazing temple]

Thank you

Personally I hate my handwriting but tyty 😂

[tropic lotus]

Hi guys

can someone help with question 7

https://ocw.mit.edu/courses/physics/8-022-physics-ii-electricity-and-magnetism-fall-2004/assignments/pset2.pdf

[floral blade]

a) Use Gauss' law (Differential form)

b) $$V = \int \frac{\rho}{4 \pi \epsilon r} \ dv $$

c) Use Gauss' law (Integral form) or $$Q = \int \rho \ dA $$ over the given bounds

[tropic lotus]

Thanks a lot!

So all I do is substitute my letters into the gauss law equation?

[floral blade]

Yes

[tropic lotus]

What does the term "Everywhere in space" mean in the context of electric field?

[floral blade]

That the field extends till infinity, it isn't bounded

[tropic lotus]

Okay

[tropic lotus]

LMAO, I was so mentally tired yesterday I didn't notice these are solutions for a, b , c

This is what physics does to a newbie

[floral blade]

Lol happens

[tropic lotus]

So this is what I came up with. I'm sure it's wrong because I don't understand the concept at all.

[floral blade]

Erm you're supposed to integrate over dA?

Not just dr

[tropic lotus]

Can I get a guide how to do that?...When reading the textboks it seemed as though they were just substituting without intergrating

[floral blade]

Skim through the first chapter of Griffiths electrodynamics

[tropic lotus]

Okay

[grave whale]

aw y made a special channel for virgins

sweeet

[wooden imp]

is 10.59 months the answer for this question?

<@&597104882482413589>

[stoic pelican]

yes

[floral blade]

https://www.quantamagazine.org/new-proof-reveals-that-graphs-with-no-pentagons-are-fundamentally-different-20210426/

[sinful jackal]

does anyone know of some good youtube channels for physics?

[floral blade]

https://www.youtube.com/channel/UCHnyfMqiRRG1u-2MsSQLbXA

https://www.youtube.com/channel/UC7_gcs09iThXybpVgjHZ_7g

https://www.youtube.com/channel/UC6107grRI4m0o2-emgoDnAA

https://www.youtube.com/channel/UCUHW94eEFW7hkUMVaZz4eDg

These are p good

[plucky kite]

Thank you, although I'm not undergraduate student lmao

Appreciate it

[sinful jackal]

Thanks :), what about channels that cover like common topics, like kinematics or Newtonian physics?

[fleet bough]

ok

[floral blade]

Yeapp

Let's keep all the interesting math here lol

[fleet bough]

just gi ve me a second to read chat

lounge

over a ring?

[floral blade]

https://mathworld.wolfram.com/Ring.html

Anytime you have a doubt head there ^

[fleet bough]

the bot hates set notation

[round siren]

isomorphic to pi_1(D^2,0)

[fleet bough]

ah

ok i somewhat understood it

give me a second tho

I was just look through some notes i found

[fleet bough]

ah i see

that makes a lot more sense now

so z just refers to the nodes in the group

I just had a hard time understanding i was missing a lot of context

[floral blade]

It takes a lot of time, and it's mostly worth it but always pick books that aren't out there to confuse you

Most authors just wanna tout big pp

Which is just fkn annoying

[fleet bough]

oh really?

[floral blade]

Yeah sadly

This is why I started w math phys books tbh

They motivate things clearly and also go through every step

Never for a beginner tbh

We aren't all russians yk

[fleet bough]

math phys books?

that exists?

bruh I don't have half the undergrad servers

[floral blade]

Yeahh

[fleet bough]

i mean channels

[floral blade]

It's an entire field of it's own

Dw this is the only channel that matters for math/phys

[fleet bough]

this i think

im not in any of hte ug stuff for obvious reasons

I don't think so, especially considering i read quick as thick

the first time

[floral blade]

I do have a server, but later on that

[fleet bough]

plus it took me a lot of searching you didn't see

[floral blade]

Check #original-content it might be there

Yeah

They all do

Even in phys

See

Most people don't know what most people are saying so it's always the conversations over coffee or the late nights that help you make sense

[fleet bough]

math talks? the ones irl?

[floral blade]

Math isn't a passive science

It's a very very social one

[floral blade]

Yessir

There was a quote along those lines but I farhat

[fleet bough]

never been in one so far, I have sneaked my way in a couple of cs classes tho

[floral blade]

Ahh naisu

[fleet bough]

didn't know

[floral blade]

:)

Well now you do

[fleet bough]

I honestly thing coffee helps a lot in focus tho

think

[floral blade]

See

[floral blade]

It's more about the psychological effect than the actually physiological one

[fleet bough]

who is whacky intiution

someone you met online im guesing?

[fleet bough]

so by that you mean the physiological is minor i see

ah

thats what you mean

I mean in terms of cooperation yeah I believe so

had some stupid questions, it makes it a lot easier to solve them together

[floral blade]

Yeahh

When you have a bunch of homies w you

Life is easier

[fleet bough]

yeah that makes sense

had multiple experiences of that

actually i think i see what you mean by passive sciences

not a lot of them have a capacity for coordination

especially something like biology i think

atleast at the level I know

[floral blade]

Nah

Let's not try to talk about things we don't know too well

[fleet bough]

ye thats why i said this

[floral blade]

If biology didn't have the capacity to coordinate you wouldn't have vaccines in a year lol

[fleet bough]

yeah i figured that much

I thought about it for a second after sending the message prior to it

ill be finishing my school assignments ill be back in a bit

[stoic pelican]

I have the option to edit the channel @floral blade

[floral blade]

Fixed it, can you check again?

[stoic pelican]

yeah it went away

[round siren]

isomorphic to pi_1(D^2,0)

isomorphic to pi_1(D^2,0)

isomorphic to pi_1(D^2,0)

isomorphic to pi_1(D^2,0)

[floral blade]

Sag last

*ah nice

😂😂😂

Sowwi

Wdym by the / ~ part here?

Ahhhh okayyy

Ye was confused cuz I've seen the / sign also mean complement so yeah

Ahhhh

My one brain cell

EEE

Neat

And I need rep theory

:/

;-;

[floral blade]

What's the point of this?

[round siren]

isomorphic to pi_1(D^2,0)

[floral blade]

Ahh

This is like taking a similarity transform

[round siren]

isomorphic to pi_1(D^2,0)

[floral blade]

Yeah

When you similarity transform a rep it ends up being equivalent

So yeah

Ye e

Where can I read more about it?

I feel like similarity transforms might just be a subset of this idea

Okay nvm this has nothing to do with what I said

Because in that case you can't have the defining characteristic

"generators only being related by means of the inverse"

It is interesting topologically tho

Hmmmmmmmmmm

Will explore

Thenks dude

[floral blade]

https://cdn.discordapp.com/attachments/556088827781971968/839353880735252480/unknown.png

Whats the curly G here @stoic pelican ?

[round siren]

mirzathecutiepie

[floral blade]

Ahh

Okayy

Weird yeah

I've seen people use $S_{n}$ for the symmetry group

[round siren]

Pugs

[wooden imp]

how do you find the shortest path from a->d here?

[wooden imp]

<@&597104882482413589>

[tawdry gull]

i think u can use dijkstra's algorithm for that

[wooden imp]

this is regarding summations. i am not sure how to solve this type of summation, especially with j = 8. <@&597104882482413589>

[unique zodiac]

Isn't this a geometric series?

Try doing 0 to (n-1) then subtract the sum from 0 to 7, you'll end up with the sum from 8 to n-1

[wooden imp]

nah... this is completely different. something like expanding the summation into a certain form or something

[unique zodiac]

If you have the ans, is it: 5(3^n - 6561)

@wooden imp

[wooden imp]

i guess...

[vernal apex]

https://cdn.discordapp.com/attachments/530361017708838912/844168188954279996/unknown.png

<@&597104734712758296> pls help

[floral blade]

Okayyy

[vernal apex]

halp

[floral blade]

I think you should try sketching it

[vernal apex]

i did

i got a hexagon like sturcture

and i got stuck

[floral blade]

Yeah

Also

Keyword

Displacement

[vernal apex]

yep

ik

how do u find that tho

[floral blade]

So like

Starting point ~ ending point

[unique zodiac]

It is noteworthy that a regular pentagon has internal angles of 72 degrees

Given by: (3-2)(180)/5

[unique zodiac]

Yeah, I just did it with geometric progression with what I stated above, u cn try listing the terms and see

[vernal apex]

ohhh yea that formula

can u tell me what the formula was

i forgot

[unique zodiac]

not 3-2, 5-2

[vernal apex]

72 degrees is external angle right

[unique zodiac]

(n-2)(180)/n

yea oops

[vernal apex]

nice thanks

n is the number of sides?

and what does this give

[unique zodiac]

yeah that gives the angle per thing, tbh I forgot what it was for but you get 72 if u use 5

my brain not working rn bro ill talk tmr XD

[vernal apex]

alrite

[vernal apex]

<@&597104734712758296> help

im getting ans as zero

but its not right

[floral blade]

Okayyyy

112

[vernal apex]

thats not the answer either

answer is the (2) option

[floral blade]

$S = ut +\frac{1}{2}a{t}^{2}$

[round siren]

Pugs

[floral blade]

Wuy

[vernal apex]

wont this give the distance travelled in the total 8's

the q is asking for 8th second

[floral blade]

OHH

Yeah then yk

Calc for 7

[vernal apex]

yea

i did that

[floral blade]

Then subtract from 8

[vernal apex]

i got 0

[floral blade]

Ez

Ggwp

Wutwaits

[vernal apex]

yea xD

[floral blade]

It should be zero then

It makes zero sense

[vernal apex]

but answer key says (2)

thats why i was confused

[vernal apex]

but how can it move 0 distance

even though it has a velocit

[floral blade]

Wait

I think the markscheme is wrong

Is this an intr course btw?

Or like classical mech in year 2 type?

[vernal apex]

uh its crash course for Neet

by aakash

[vernal apex]

that can be possible

anyway thanks for the help

[stoic pelican]

Then its definitely wrong

[vernal apex]

but aakash is renown coaching centre for entrance exams

[floral blade]

lul

[unique zodiac]

bruh ugaiz

[round siren]

TicTac

[unique zodiac]

The displacement would be 0 since a change in velocity occuts at 7.5. If you wanna find the distance, find the displacement from 7 to 7.5, and then take the modulus (if its negative) and double it.

@vernal apex @floral blade

^Change in velocity occurs at 7.5 because:

[round siren]

TicTac

[vernal apex]

ohh

[unique zodiac]

Always check if there is a sign change in the interval, or else you get distance = 0 despite it having a velocity in that period of time

[vernal apex]

right

that makes sense

but why 7.5

why not 7.2

or

[unique zodiac]

^^

[vernal apex]

oh right

nvm

[unique zodiac]

XD

[vernal apex]

ohhh

yes

that makes a lot of sense

thanks

[unique zodiac]

np brah

[unique zodiac]

^^always

[vernal apex]

yep got it

[vernal apex]

<@&597104734712758296> anyone knows how to do this?

[stoic pelican]

no

[vernal apex]

[floral blade]

Okay so yk for a fact that, (4) is false given the inclination angle

[vernal apex]

ye

[stoic pelican]

is the answer 3?

[vernal apex]

no

[stoic pelican]

yes it is

[vernal apex]

no

[floral blade]

When they resultant

Do they mean dot product or cross?

Or is it just undefined?

[vernal apex]

its undefined

but i got it nw

Tictac explained

[unique zodiac]

If ur interested pugs: |R| = |a| = |b|

[stoic pelican]

[vernal apex]

[floral blade]

Triangle

Okay

AH THE IG PHYSICS DEFINITION

Smh

[rare ridge]

oo duckster evolved

[vernal apex]

nah im still a duck

[fiery minnow]

Is there an undergrad Maths channel?

[tawdry gull]

this IS the undergrad math channel

[floral blade]

This is

We've kinda merged the sciences atm

[floral blade]

@winter pier hewwo

I'm trying to study diff. Geo and why it's useful for phys

[winter pier]

@floral blade hi

anyw i thought this was only for physics purpose hehe

[floral blade]

Hewwo

[grave whale]

is there where u pretend youre sceintists to feel good about urself

[swift zinc]

Yes

The channel was made to mirror you

[floral blade]

💀

[grave whale]

you just ruined my morning :/

[swift zinc]

Yikes sorry

[grave whale]

$15 paypal

[swift zinc]

No

[grave whale]

https://tenor.com/view/cute-cat-cry-three-sad-gif-15849691

[fiery minnow]

Ahh thanks

[winter pier]

hey I wanna ask

wait, kinda forget what I want to ask hehe

ah now I remember

is having A* or just A in certain subject (e.g. further maths, maths, physics, etc.), does make you feel easy when studying courses in uni?

I mean you could literally sleep (coz u already understand what's going on the whole class)?

if not, then how it would help tho?

[floral blade]

Fuck nope

The understanding of concepts from A2 helps

Like key concepts like SHO and orbital velocity help a lot

[winter pier]

so you mean the concept is worth helping, isn't it?

[floral blade]

Understanding key ideas, and how they connect/interact helps

[winter pier]

and also, does CIE subject have major differences compare to uni courses?

like maths and physics courses or something?

[floral blade]

Yes the way uni works is completely different when compared to CAIE

[winter pier]

could you point me some of them?

[winter pier]

Oh I see

[floral blade]

Just have a look at any intro course in uni

[winter pier]

btw, sorry I'm still having a vague idea of uni or college

[floral blade]

Like most of the time every assignment/test will matter for the final grade

[winter pier]

intro course? what is it like?

[floral blade]

I mean any first sem course

[winter pier]

okay then, I think I should look for it awhile

thanks @floral blade

[floral blade]

Anytime

[stark wave]

It hugely depends on where you're going

But no the point of uni is to be a step up from a levels

So unless you got a uni where they ask for CCC and you get A*AA then you will have to put in a fair amount of work

[willow flicker]

What is the difference between A levels and Pre U?

[fiery minnow]

nopeeee

uni is another beast

but if you can get an A* or A it means you are definitely good enough to tackle the uni stuff, but we still all struggle

but if you don't get A*/A it doesn't mean you're good enough but you might have to work just a little bit harder

but when you get to uni, no one cares about how you did in A Level. but studying hard for A Levels definitely helps a lot

[winter pier]

I think to summarise these, A Level doesn't make things kinda easy, but it does help us understand uni courses better than nothing, is it right?

[floral blade]

Yeap

[fiery minnow]

Exactly

Uni is hard no matter how you do in your A Levels but doing well helps

[vernal apex]

question 18 please help

<@&597106595373121536>

[rare ridge]

option 4 ig

[vernal apex]

why?

@rare ridge

oh

wait

OH

damn

im dum

thanks

[rare ridge]

hehe

np

[swift zinc]

@floral blade My professor for Electricity and Magnetism is this guy called Rongkun Zheng

He seems like a physics genius

Hes a PhD, and has more than 240 research papers and 9000 citations

[floral blade]

Woahhhhhhhhhhhhhhh

NICEEEEEEE

[grave whale]

communist pugs back at it again

[floral blade]

This isn't a place to be an asshat, be nice

[grave whale]

i was joking asshat

[warm agate]

Mat 2019

The solutipn frm the solution sheet and my solution seem to be two completely diff things

I think my solution is right though, can someone confirm?

[rare ridge]

idk where to ask, but um, can someone explain me mutual and self inductance? I can't understand the diff properly regardless of the amount of times I have watched on youtube

<@&597104734712758296>

[rare ridge]

uh-

[ivory abyss]

all ik is tht self induction has 1 coil and mutual has 2 coils.

[rare ridge]

uhm ik that too, i want to know how it works?

[vernal apex]

sorry havent done that chapter yet

ive no idea

[rare ridge]

issokay

[vernal apex]

have u tried khanacademy

they have a video on it

[ivory abyss]

i got some notes on self

[ivory abyss]

and some on mutual

[ivory abyss]

Self induction is when a change of current of one/the coil produces an opposed force

Mutual is when two coils placed close together and attached to a circuit, when a change of current occurs, the opposing force is produced across each coil, this is known as mutual induction

[rare ridge]

thanks a tonne!

[ivory abyss]

np. just adding a point:
mutual conduction takes place when the variable current passing through the primary circuit, creates parallel magnetic field through the secondary coil also, which helps is producing the induced current in the secondary circuit. Therefore here we see that induced current is not self generated by the secondary circuit, rather was produced with the help of another coil, thus its know as Mutual induction

[rare ridge]

yeah, got it 👍🏼

[void shell]

can anyone help me w this? pls ping me if you answer it ty

[floral blade]

Can you show your working?

Do you know the condition for continuous functions?

[void shell]

That's y I was confused cause the question is only this much

[void shell]

Didn't start 🥲

[floral blade]

Give it a shot tbh

[void shell]

oh this one i got the ans from someone else thanks tho i have more questions which ive posted it in #ig-maths

[stoic pelican]

chem question pls help

idk who to tag

[vernal apex]

@stoic pelican

C is conjugate

[stoic pelican]

wack

[vernal apex]

I is isolate

what

[stoic pelican]

wait

[vernal apex]

k

[stoic pelican]

oh wait

the question also included cumulative

sry also that

so isolated, cumulative and conjugated

wait

so on the left hand side structure

the bottom carbons are cumulative right?

[vernal apex]

what is cumulative

i didnt learn that

[stoic pelican]

o

[vernal apex]

ohhh

wait

[stoic pelican]

cumulative is like 3 or more continuous unhybridised p orbitals but not parallel

[vernal apex]

ahh

[stoic pelican]

since its sp2-sp-sp2 its not parallel right

[vernal apex]

yes

[stoic pelican]

they are perpendicular

k

kk got everything else

thanks

[vernal apex]

np

[grave whale]

how bout u spsp ur way into some bitches life

[dusk grail]

<@&597104734712758296>

[unique zodiac]

It helps to draw diagrams

Now here, note that the horizontal velocity will be unchanged (since we assume no horizontal resistance) so x1=x2

The vertical component however is under the influence of the gravitational field --> y2 = y1 - gt (v = u + at)

[vernal apex]

i already helped him in #a2-physics lmao

[unique zodiac]

oh lol

[slender bear]

thanks guys @unique zodiac @vernal apex

[grand cedar]

Can someone help solve part a. I have calculated d1 and d2 in vector notation got it done

https://cdn.discordapp.com/attachments/238957177400852480/893804672748486676/part_a.png

[dusk grail]

<@&597104734712758296>

[main topaz]

hi, could someone help explain diamagnetism precisely in water. e.g. i carried out an experiment. out some pieces of plastic (clearly non magnetic) on water(they float). brought a strong magnet (not an electromagnet, no electric current nearby to effect the experiment) and the particles moved towards the magnet. after some research found out that water is diamagnetic and repels the magnet making a small depression so the particles moves into the depression making it look like they are moving towards the magnet. but i am confused how this phenomenon takes place. would really appreciate some help.
and umm if this is the wrong channel sorry please inform me where i can redirect this question.
Thx

uhh not sure if this the right place but any even if it very little help wud be greatly appreciated

[stark wave]

Are you referring to something like this?
https://youtu.be/mbKAwk-OG_w

[main topaz]

this is more explaining the surface tension of water

https://youtu.be/jIMihpDmBpY?t=57
this is what i meant

go to timestamp : 0:57

this is the exact sem thing i tried to do

now i just need some help explaining how diamagnetism occurs and what effects it

[vernal apex]

znask

[dusk grail]

<@&597104734712758296>

[vernal apex]

please help

[unique zodiac]

Not exactly sure, intuitively I believe it's 20

Is the right answer 40 which was why its ticked?

[vernal apex]

its 80

[vernal apex]

nah i thought it was 40

[unique zodiac]

Hey gang, can anyone help me with this question? I changed the limits and simplified it to this expression here but it is quite an annoying integral

Im wondering if I did anything wrong anywhere, or does it rly lead to this and ive to simplify

[unique zodiac]

also yeah for this irdk man :((, if u find out pls lmk, id like to know too

I wanna tag math helper but the command gives physics helper here lol

[vernal apex]

ah ok

[tawdry gull]

still need help?

and it was like 4 am for u dude 😂

r u in the UK alrdy?

[unique zodiac]

Yeah lah XD

It was 8pm for me hahaha

Yeah I still need help, not w the final integral but the initial question

Not sure if I did it right 😬

[stark wave]

Ooh where in the UK are you?

[unique zodiac]

Im in edinburgh, heriot watt :D

[stark wave]

Ooohh nicee

I was gonna have to come to Edinburgh for visa application but my mom said go to London instead :(

Edi must be really pretty and also cold no?😂

[unique zodiac]

Not too cold, im still in shorts

But yeah the city is quite pretty

Not riccarton tho, its pretty bland here

[stark wave]

:(((

[stark wave]

And then there's me bundled up in a coat every time I go out

[unique zodiac]

ayoo where are you studying?

[stark wave]

Uni of Manchester!

[unique zodiac]

YOOO A friend of mine is studying there

She does not like the noises from neighbours in student accoms 😂

[stark wave]

It's not fun😂

What do they study👀 I'm always up to meet new people

[unique zodiac]

they study psych, theyre super shy tho lol

[stark wave]

i could hook them up with another 2nd year doing psych

[tawdry gull]

i also tried simplifying, yes it looks very annoying lol

try putting in wolframalpha

[unique zodiac]

aiyoo

[unique zodiac]

does it simplify to this?

[tawdry gull]

not for mine

😂

[unique zodiac]

💀

What did u get?

I did change the intervals btw, not sure if u did the same approach 😳

or maybe I did smth wrong lol

[unique zodiac]

breh

I wrote (y-2)^2 in the numerator

It just simplifies to y-3

LOL

^Thats my teachers working btw

Final ans should be 1

[turbid fable]

Can someone help me to solve this? I got the answers zero. I am confused

[unique zodiac]

Hey guys, lets say I take the partial derivative of this function, which of the two ways is it supposed to be represented?

[undone shoal]

@unique zodiac What year are you in?

I want to know where I can find practice questions and answers for undergrad studies

[unique zodiac]

2nd yearr

If u want qs on particular topics u cn dm me

..dyu have an ans to my question tho

[tawdry gull]

1st one

I mean technically both are still incorrect

But the f’ notation is correct

The coefficient (from chain rule) should be the partial derivative of e^(xy^2) wrt x

[unique zodiac]

ahhh right

[tawdry gull]

Yepp thats it basically

[worldly monolith]

guyss

anyone studying in university of auckland

if anyone is

then is it mandatory that i continue english in my A levels

[stoic pelican]

you can email them for a direct and clear answer, most universities will reply in 3-4 days 🙂

[worldly monolith]

well i called them

they were closed

well ig the only option is to message then

[stoic pelican]

Yes they must have been closed for the holidays, email is the best way to reach them

[potent pewter]

Help

[young marten]

oh my god what the hell

[unique zodiac]

x*|x| is similar to x^2 except it can now have negative f(x) values, it is injective and surjective as each value is unique to its particular x

Adding 1 to that function doesnt change it

[tawdry gull]

i would use the definition of injectivity here

f(a)=f(b) implies a=b

[potent pewter]

I don't really get it @tawdry gull

Why can't it be both like yukan said

Because for each x there is a unique y and vice versa

But i still don't know how to give a 10 marks answer :c

[tawdry gull]

well it is both haha

it is a bijective function actually

both injective and surjective

[tawdry gull]

you need to give a proof on its injectivity and surjectivity

[buoyant oasis]

Any help?

[vestal swift]

Hello, for someone who's planning to study maths at uni, what topics should I study after further maths? Linear algebra? Discrete math? Any book recommendations?

[tawdry gull]

which math would you be taking?

[vestal swift]

Either applied or pure maths, still deciding though

[rancid schooner]

Nice. Where? As in which country?

[tawdry gull]

if pure, study analysis more

[vestal swift]

maybe SG but still uncertain as it's out of my budget

[vestal swift]

Real analysis?

[tawdry gull]

yeah

complex or real

and learn more abt proof writing

if you'll be taking applied maths, then im not quite sure on what books

[rancid schooner]

Nice

Rudin is widely recommended for analysis

Strang for linear algebra or watch some of his videos

Concrete Mathematics is a fun intro to discrete maths.

Concrete = Continuous + Discrete!

And πerrot for integrals :)

[vestal swift]

Wow all the old videos of professors from top colleges

Thanks math gods

[rancid schooner]

Haha he made some new videos. New approach to make the subject easier to understand.

Also watch 3Blue1Brown’s videos on Linear Algebra for a good overview with amazing visualisation.

[rancid schooner]

Are you in SG?

[vestal swift]

In Malaysia now haha

Born and bred in MY

[rancid schooner]

Nice :)

[vestal swift]

Wbu if you don't mind me asking haha

[rancid schooner]

I’m from Discord cuz I’m a bot 😄

[tawdry gull]

shh, he's also from MY

😏

[buoyant oasis]

Any help guys?

[stuck rapids]

Fuisehh not bad eh

[vestal swift]

Wow here all MY math gods?

[vestal swift]

Haha thankieww wbu XD

[stuck rapids]

This Alex definitely from MY one

[stuck rapids]

I have been quite lost nowadays as well

I saw some of ur rants and I could relate to some parts of them hahaha

[vestal swift]

Haha getting better now XD trying to do other random stuff to take my mind off it 😂

[stuck rapids]

Exactly like u lah Haiyaaa.. I don't have a deep interest in any courses

[vestal swift]

Maths? Haha since you're here in dis channel :-)

[stuck rapids]

recently decided to study actuarial science but some parents ahem (relatives) have been quite discouraging la.. Cuz it is not an easy course at all

But yes I m more interested in math (mainly math)

[vestal swift]

I also think math kinda risky HAHA bc my math grades better than other subj so lmao that's like a calculated risk B)

[vestal swift]

Well if you like it then go for it bah it's your life not theirs 😂

[stuck rapids]

Sama here hahaha

Math is quite good actually, u have a few routes

Like tutor/professor and some opt for professional boards and there are like a number of jobs related to math

[vestal swift]

Yeah but I don't like the stats so I dint go for the actuarial science route 😂

Tutor got consider but my interpersonal skills kinda bad nia 😂

[stuck rapids]

Math is the key to a lot of fields

[stuck rapids]

Wht about mech 👀

[stuck rapids]

same here hahahaa

[vestal swift]

Yeah more inclined towards mech but out of all the components my mech was the lowest 😆

[stuck rapids]

I have a bit of social anxiety but I guess it will be fine to overcome it

[stuck rapids]

Mech papers are damn tough.. But interest> scores la

[vestal swift]

My mech I really got go understand haha, my further stats I mostly relied on pure memorization of standard solutions to survive bc I was rushing for A2 😂

[stuck rapids]

Then if u like mech maybe can opt for engineering stuff

[vestal swift]

My pure still stronger hence I'm inclined towards pure math 😂

[tawdry gull]

im indonesian haha

[vestal swift]

Hands on skills too shit 😂

[tawdry gull]

well im not a math god tho

so yeah

all math gods from MY

[vestal swift]

Ah ASEAN people

[stuck rapids]

Sounds like engineering liao

Tbh hahaha

[vestal swift]

Not me, average only

[vestal swift]

I dun like engineering hands on projects 😂

[stuck rapids]

Urs was express course kan

[tawdry gull]

highly suggest taking it tbh

[vestal swift]

I see ppl studying maths got some Olympiad medals or international math achievements and I'm here with none of that🥲

[stuck rapids]

can relate cuz mine was an express one.. Haiyaaaa

[tawdry gull]

it kinda hurts yeah, but if it makes u feel better, one doesnt need to have olympiad wins and medals to study pure maths

[vestal swift]

If actuarial science then UK?

[tawdry gull]

tho ofc it can help, but not needed

[stuck rapids]

For me I considered engineering but gave up when I realised it requires a lot of hands on hahaha

[vestal swift]

I know MY heriot watt got but idk where else XD

[stuck rapids]

[vestal swift]

Yep I can't even handle lab paper 3 for a levels 😂

[stuck rapids]

Chem especially HAHAHA

[stuck rapids]

Hwum is the best for actuarial science

But fees at around 130k+..

[tawdry gull]

i have fren in heriot watt doing actuarial sciences

[stuck rapids]

Got other unis here also, like sunway taylor's utar apu ucsi

[tawdry gull]

do u wanna see the first semester lessons?

[vestal swift]

Ouh but UK I think got right, that is if you can afford XS

Poor ppl like me lupa sajalah

[stuck rapids]

Scholarship might help a bit

[tawdry gull]

@stuck rapids what do u plan to take?

act sci?

[stuck rapids]

Yeahh..

[tawdry gull]

oh thats good then

[stuck rapids]

But I m honestly kinda scared

[tawdry gull]

what uni u want to go to?

[stuck rapids]

That is the issue here

[tawdry gull]

hmm

if MY then heriot watt surely

other uni then in UK la

[stuck rapids]

The exemption thingy is important - so there are a few choices left

[tawdry gull]

exemption?

[vestal swift]

My rich friend go QUB

[stuck rapids]

Yeah for the ifoa board

[tawdry gull]

oooh

[vestal swift]

There got exemption for some papers mcm

[tawdry gull]

do u want SoA or iFoa?

[vestal swift]

But expensive af

[stuck rapids]

Should be ifoa

[tawdry gull]

i think HKU is ifoa

[stuck rapids]

Ohhhhh

[tawdry gull]

https://admissions.hku.hk/programmes/undergraduate-programmes/bachelor-of-science-actuarial-science

if u r interested

[stuck rapids]

Lse should have also?

Since it is a business school.. Or maybe ucl

[tawdry gull]

ohh, should have

[stuck rapids]

[tawdry gull]

👀

u want or no?

i can give act sci resources

even tho i dont take act sci lol

[stuck rapids]

Wanna take a look at the modules

Hahaha

before it is too late to change

[vestal swift]

HWUM is your first choice?

Or aiming higher 😂🤣

[stuck rapids]

Undecided

[vestal swift]

Ouh is ok still got time

Until sept 😂

[tawdry gull]

if like that, in website have right?

[stuck rapids]

Maaf😂 I meant smth like wht is being taught

[vestal swift]

this the ans bro? Hope so HAHAH

[stuck rapids]

We be talking in Asean English hahaha

[tawdry gull]

😂

same people, same language

https://drive.google.com/drive/folders/1bimEqSon7SfmXZwquQ2mJ53L57m3YPeo?usp=sharing

[vestal swift]

πerrot studying where ah

Why πerrot haha such a weird name

Math god vibesss

[stuck rapids]

With fancy mathematical related names

[vestal swift]

Meanwhile my username is from the first line of a platypus theme song

[tawdry gull]

weird story

right now im in a local uni called UPH

universitas pelita harapan, taking applied mathematics

but im gonna ditch soon

maybe to HK or SG

[vestal swift]

transfer uni?

[tawdry gull]

yiss

[vestal swift]

nicee

[tawdry gull]

only the vibe, but not an actual math god

😔

[vestal swift]

maybe we can meet if we both end up in SG XD

[tawdry gull]

hopefully yah

:D

[vestal swift]

so are you more inclined towards HK or SG

[tawdry gull]

hmm not sure

both are equal

i got accepted to HK alrdy tho

HKU and HKUST

just waiting for SG

[vestal swift]

pro

[stuck rapids]

Hehh

[vestal swift]

yeah SG applications still open

[stuck rapids]

But some peeps I know do similar stuff as well

[tawdry gull]

yeaa

[stuck rapids]

Ohhh

[vestal swift]

and I'm procrastinating on my personal statement bc i don't have fAnCy mAtH oLyMpIaD mEdALs or other math competition achievements

😔 😔 😔

[tawdry gull]

is it alrdy too late to do just one olym?

[vestal swift]

Yeah too old dy

I'm like 20 this year

[tawdry gull]

they check by grade tho right?

[tawdry gull]

older than me ah...

[vestal swift]

I rmb got age limit one

[stuck rapids]

So u also didn't give a damn about UCAS HAHAHA

I didn't bother cuz I was all the time planning to study in msia

[vestal swift]

Too broke to even consider UK

[tawdry gull]

i think World mathematical invitationals doesnt

[vestal swift]

Didn't bother

[tawdry gull]

not sure ya

[stuck rapids]

Wht about aus? Tho for maths it is better to go UK

[vestal swift]

Yeah same actually, but I don't like Malaysia unis so just trying my luck with SG

[stuck rapids]

👀 👀 👂

[tawdry gull]

money problem with UK 😂

[vestal swift]

I have one senior in Monash who studied a levels prior, he said AUS education system way different from UK so I scared I can't adapt XD

[stuck rapids]

It is indeed quite different from UK system

[tawdry gull]

but many ppl eventually do

takes time, but surely u can get used to it

[vestal swift]

Yeah but for my budget don't think can

[tawdry gull]

ohh

[stuck rapids]

How old is @tawdry gull

[tawdry gull]

umm

im gonna be 19 this april

2003 kid

[vestal swift]

Yeah I'm SPM lang so I can't skip grades like IGCSE peeps

[stuck rapids]

So u completed ig's when u were like 16? I think

[tawdry gull]

yesss

[stuck rapids]

Ohhhh I m also a 03's kid haha

[tawdry gull]

took the may june 19 paper?

[vestal swift]

Means brilliant lah 19 alr in uni

[stuck rapids]

Mine was mj 2020 💩

[tawdry gull]

oooh

[tawdry gull]

technically from 18, its cuz indonesia uni schedule is sept-august

so i can just jump in after A levels

[stuck rapids]

not rly la 🤣 I couldn't get to skip a year in my school actually

Hahaha

[vestal swift]

That is if you took A2 in summer right

[tawdry gull]

yes i did,

took a2 in may june 2021

[stuck rapids]

I seee xD

[vestal swift]

Fastnya

[tawdry gull]

wai?

[stuck rapids]

Doesn't matter

[vestal swift]

I blame the MY education system

[stuck rapids]

Actually most of my SPM friends are better at grasping knowledge

At least compared to me

[vestal swift]

If I took STPM I would only finish this year May :)

[stuck rapids]

Yeah it is way too traditional

I prefer sg's personally

[vestal swift]

Spm syllabus more in depth than IG? but ig has more hands on stuff for the sciences I think

[tawdry gull]

wah i dont understand SPM and STPM system 😔

[vestal swift]

And the questions are rubbish

[stuck rapids]

Syllabus wise yes..

[vestal swift]

But exam wise the questions are quite ambiguous and lots of errors

[stuck rapids]

Definitely took a longer time to understand a concept compared to my SPM classmates

At the start of a levels la

[vestal swift]

Is ok still get outstanding results mah XD

[stuck rapids]

Oh yeah I heard many comments about it also

Like they set stpm questions in add math paper like wtf?

And yeah quite a number of errors I think

[vestal swift]

That one no, the teacher exaggerated, I could do with spm knowledge 😂

And the infamous passcode question

It was on Mind Your Decisions 😂

[stuck rapids]

Traditionally, 7-12 in sekolah kebangsaan (either sk sjk(c) or sjk(t) they have jenis sekolah Chinese dan tamil)

Then 13-17 spm (form 1 to 5)

18-19 pre u/stpm/matriculation/diploma
20+3/4 depending on ur course: u will only graduate at the age of 23-24

[vestal swift]

If you're rich then international school all the way😆

[tawdry gull]

oh wauw

[stuck rapids]

Yes yes hahaga

[vestal swift]

Like my international school friends they can participate in SASMO WSC and debate comps, in public school we don't get these kinds of international exposure that often

[tawdry gull]

what age do ppl take igcse in MY?

16 right?

[vestal swift]

So that sucks

[stuck rapids]

Ohhhh that one 2019 punya..

I see I see.. Cuz many peeps got freaked out

[stuck rapids]

Yeah definitely..

[stuck rapids]

16-17

[tawdry gull]

ooh okay

[vestal swift]

If you're rich and smart can even do IG at 15

[stuck rapids]

Recently I saw this young girl on YouTube, she did igcse at 14

[vestal swift]

And smart kids who go to college at 8

I would kill to have that kind of superior intelligence XD

[stuck rapids]

Those aren't just smart, they are prodigies liao

ik it is hard to stop comparing urself with the others

but like..

[vestal swift]

Yeah people nowadays so good at everything I'm like questioning if I can get a job 🤣

[stuck rapids]

Sometimes social platforms can ruin ur mood for the day hahaha

[vestal swift]

Especially Instagram, I find insta most toxic idk why

[stuck rapids]

Ikr

[stuck rapids]

U should think more positively la haha

r u perhaps i_f_? Mbti

I mean ixfx

[vestal swift]

Intp 😂

Sometimes it changes to infp intj 🤣🤣

[stuck rapids]

Ohhhh my bad xD hahaha

[vestal swift]

Wbu :o

[stuck rapids]

That is a rly big difference

I m stuck between infj and isfj hahah

[buoyant oasis]

Any help?

[stoic pelican]

You can use integration by substitution, use x = 0.75secy.

[stoic pelican]

x = 0.75secy
dx = 0.75secytany dy

0.75secytany/(0.75secy)²√9sec²-9
tany/0.75secy.3tany
4/9secy

[4cosy/9]
4siny/9 + c

siny = √1 - cos²y

From our initial sub:
cosy = 3/4x
Simplify and you get
siny = √16x² - 9/16x²
Final answer: (√16x² - 9)/9x + c

[rancid schooner]

Congratulations and good luck!

[stuck rapids]

Eyyyyy thank you Alex hahaha

Did u do ug engineering or maths

Stop saying u r a bot

[rancid schooner]

Congratulations!

[rancid schooner]

SPM = IGCSE equiv
STPM = A-Level equiv

[rancid schooner]

just produce a few maths tutorial videos and post on youtube :)

[rancid schooner]

have you tried any STEP questions? they are quite fun

[stuck rapids]

i got ignored

hahahaha

well at least he reacted to my message

[rancid schooner]

Your question is too difficult for the bot to answer :)

[stuck rapids]

ah sure

haiyaaaa

[rancid schooner]

dbdbdb and crysto know each other?

[stuck rapids]

we dont know each other irl

[rancid schooner]

Haha ok.

[rancid schooner]

The SPM question came from MYD or the other way around?

[vestal swift]

Other way round

https://youtu.be/eY3AgclKBIA

Hahha this one

The very paper I sat for 😎

[rancid schooner]

Interesting. Only came across one on MYD which had to do with a cylinder.

[rancid schooner]

Nice. Were you the person who sent it to MYD?

[vestal swift]

Nope hahah

I didn't know the channel exist back them XD

[rancid schooner]

So the answer is 99²-100. Interesting.

Did you get it right?

[vestal swift]

Yep but I forgot what I did 😂

I did spend quite long on it but kinda proud I got it right haha

[rancid schooner]

Nice 👏🏻👏🏻

Are you doing Further Maths?