math-help

[sinful narwhal]

https://www.amazon.es/dp/B09DT61JQJ?source=ps-sl-shoppingads-lpcontext&ref_=fplfs&psc=1&shipTo=PT&language=pt_PT&smid=A1AT7YVPFBWXBL&language=pt_PT

[narrow pier]

a function is continuous if openness/closeness is preserved backwards through the function via preimages

that helped

late thank you

[sharp plover]

hey can smb tutor me in geometry im so bad at it u have no idea

[left knoll]

a^3 +b^3 +c^3 — 3abc = (a+b+c)(a^2+b^2+c^2– ab- bc -ca)

since a+b+c = 0 in this case .. RHS becomes 0
a^3 +b^3 +c^3 = 3abc

[winged heart]

exactly how is it zero?

[left knoll]

a= x-y
b= y-z
c= z-x

a+b+c = x-y+y-z+z-x = 0

cancel all terms

its 0

believe me

is it ragebait ?

[gritty lake]

💀 wth

[obsidian spire]

Does anyone have a game they do while studying math? Like take a concept you learned and come up with some examples of it, or try to create some mathematical object that combines 2-3 things together?

I really like math, but I feel I could be more creative and have more fun with how im learning it.

[obsidian spire]

So far I've seen suggestions to randomly delete some conditions of a theorem and see what would happen or why the conclusion would fail, or change quantifiers and see what would happen. Also to take concepts from a theorem and create a fantasy story with equivalent conditions to the theorem.

[opaque whale]

it depends on what math youre studying i think

in my abstract algebra and calculus courses, ive found that interpreting/deriving a theorem both algebraically and geometrically helps me understand it a lot better

not sure if thats really a "game" though

[obsidian spire]

Doing some sort of exploration or creative action, more than strictly necessary, probably qualifies as a game

[opaque whale]

mm i see

[narrow pier]

I am enjoying this real analysis game a lot

[stuck creek]

To the people that self study maths, what are your main goals? How do you keep going?

I've lost sight of why i want to self study math and feel quite lost. My main field is computer science but right now doing math in my free time and applying it seems fruitless, which makes me sad. I think there are so many things i can do with it but as someone not in the field initially or in organised study, it's really difficult to see. I wish i had a better understanding of what i can do with math and my current skills.

Open to hearing about other people's reasons to study as well as any advice

I love math, I just am struggling to see much reason in my actions, and I'm losing motivation consequently

[tropic lichen]

does anyone have any good recs for (free) online linear algebra resources? i’m taking lin alg rn but the professor is one of those people who’s super smart but can’t teach at all and she lowkey makes stuff seem way harder than it should be

[stuck creek]

MIT opencourseware

[left knoll]

Gracias!!!

[sturdy lava]

For me it's like a cheat code. The more I dive into math the more all the rest of things make sense. So I study them and them to make my life easier. It's clisse but I do feel like that it's everything and everywhere. I am not saying it in a dogmatic way nor am I trying to put at the top of everything else there is. It's my personal view. I use math to understand in depth other fields: history, physics, chemistry, engineering, psychology etc.

[stuck creek]

I see. Thats really interesting, and makes sense !

[obsidian spire]

They say that math is the language of God and the universe. They aren't wrong

[stuck creek]

<@&942391219206647828>

This is a scam

[tropic oyster]

Thanks

[orchid smelt]

hey should i get a degree in math , i m intrested in math but idk how much i m intrested but the things that i learned in high school are pretty chill and i enjoy them , i dont want to be 2 yrs in a program and be reconsidering my life choices :p

[frosty tinsel]

Hi, can anyone assist with this problem? I know the last one should be neither but the the first two are incorrect and Im not sure why?

[formal venture]

a person in 'the 1st chat' @tired cypress - gave to my knowledge there are other sub chats - after I was like trying to ask : which chat would be the best to write in on this server (for gaining IQ (or success) - there are other chats , would maths be the best? doesn't look like this chat is posted so frequently to ?

[ashen pine]

The first two appears correct imo.
h(x) = f(x) + f(-x) should be even as h(-x) = f(-x) + f(x) = h(x)
Similarly for second case,
h(x) = f(x) - f(-x) should be odd as h(-x) = f(-x) - f(x) = - h(x)

[keen bay]

@mystic thunder

[mystic thunder]

YOOOOO HIII

[keen bay]

whens yo exam

😭

[mystic thunder]

bru

28

where u been gng long time

[keen bay]

I forgot my password

And that acc is linked to my mums gmail

So i didnt wanto

[mystic thunder]

LMAO

[keen bay]

All da best

[mystic thunder]

thanku

[keen bay]

Yeah

Mine was on 22

🗿

[mystic thunder]

omg

[tired cypress]

@formal venture so for progressing up to the point you have a basis in maths fundamentals for Computer Engineering/Computer Science you'd be looking at something like this book i've attached. If some of the topics here are a little beyond where you're at right now there are some great resources on youtube you can look at like this channel https://www.youtube.com/@TheGCSEMathsTutor/playlists, and then you can always look to find some past papers online with their results published to give yourself practise exams and see how you're doing at any point in time.

[tired cypress]

@nocturne pendant you might be better positioned to give a nudge in this area because it's not the path I took, but to me this would be a good starting point to get to the point you have undergrad fundamentals down

[nocturne pendant]

for general maths for uk syllabus i recommend madasmaths, when i was doing a levels this was honestly my life saver and i still use it in university to this day
https://www.madasmaths.com
albeit it isn't a textbook to learn from but maths is all about applying the knowledge you've learnt into solving problems and this website has sooo many problems for you to try and practise with

if you want a website that'll summarise topics and have question in addition to practise questions taken from exams i would recommend something like physics and maths tutor
https://www.physicsandmathstutor.com/maths-revision/
ask any stem student in the uk and they'll tell you this website was their lifeline (including mine during a levels)

gcse maths tutor is great but i personally used it when doing gcse and if you want to get the grasps on the elementary knowledge sure its good but the two i listed above are usually the acedemic standard in my opinion

[tired cypress]

oh word I hadn't heard about any of these actually

[nocturne pendant]

along with website youtubers who cover the syllabus of a level maths (specifically edexcel since its the most popular) i would reccomend to get a sort of teacher to teach you (bicenmaths i reccomend)

[azure wolf]

try tlmaths
that saved me for my year 13

[ashen pine]

<@&942391219206647828>

[formal venture]

'here?

[tired cypress]

indeed

[formal venture]

ITS LATE RIGHT NOW *

[tired cypress]

though I woudl take Mista's advice over mine, as his background is in that part of education

[formal venture]

'HI ROMAN thanks for those 2 links- I clicked them both open ' but at same time - really don't know for example , start to have thoughts' i lack motivation e.g. with my perfoamcne and "compared to the amount of other investments i could be doing with a laptop - are those 2 links really going to : equate to how much money/success (COULD WE PLEASE DO THE MATHS TO FIGURE THIS OUT FIRST (BEFORE I START LOOKING AT THOSE TO THINGS (BECUASE I HAVE REALLY BAD MEMORY PROBLEMS- SO DOUBT I CAN LEARN?

[tired cypress]

ah well those resources are free so there's no cost. As for money/success, it's impossible for me to calculate that with you. Nothing is promised as far as studying X will give you Y

[fluid sable]

guys i really dont understand some mechanics and it feels really sudden. i understood the topics we covered in lesson but suddenly it feels like theyre just throwing in random things. is the best way to understand it just to restart from point one?

[formal venture]

'i feel like those resources are very hard for myself to study for them e.g. trying to read them - not sure at all what level of growth I would get by myself ' made me think - it reminded myself 'of math sorcerer YTuber stuff- like , seen a 'fair or small amount of his stuff- but like at the end of his 'videos ' "I wouldn't have any idea how to consistently start studying maths everyday - do you understand? ?

[formal venture]

'i could try to do a rough estimate of how much the resource you shared would help me? e.g. how long it took me to study? and - my retention?

[formal venture]

" or i could even show examples https://www.coursera.org/ on this site- there are links ' no no education required high courses? - but , I wish i could force myself - to just stick to studying ? "

[tired cypress]

You may just have to keep looking into various resources until you find a point at which you feel you're actually getting some understanding and progress down that avenue. Knowledge is very much a game of stacking things on top of each other, there are many pre-requisites to future knowledge that you have to fulfill. A good way to find gaps in your knowledge is typically to take standardised tests for a topic and see what things you could/couldn't answer, that should give you a clearer indication of where you are at, at which point you will have a list of things to start working on. I would suggest looking online for past papers and the accompanying answers, and do some under the time constraint. Maybe do that for the GCSE and AS level maths and see where you get, this should give you an idea of where to start

[tired cypress]

<@&942391219206647828>

[tropic oyster]

Thanku

[tired cypress]

there she goes again, abusing her power /s

[tropic oyster]

https://tenor.com/view/team-rocket-pokemon-prepare-for-gif-5634690

[formal venture]

'I just scanned over your writing - , your speaking about taking 'standard' tests which sound time worth , hard, maths sourcer made a 10 minute video how to self study maths 3 years ago, maybe i should start with that first (as an easier start , , but i should thank you for - giving me suggestions , are you the best person to continue to advise me ? had other ideas*

[tired cypress]

you're welcome, and yeah by all means follow some steps he suggests if you feel that will work for you. I recommended the tests mostly because they're a good way to find out what you know right now and then make a plan for what to study, but you can certainly follow another track.

I don't know if i'm the best person to advise you or not haha, there are lots of useful people around but i'm happy to answer questions if you need help when i can

[formal venture]

'it could be easier

[quasi goblet]

help with this pls 😭

[mystic thunder]

differentiate it

[frail hedge]

did you get the solution?

or do you still need it?

[quasi goblet]

after differentiating ...a differential eqn is forming and uh im getting an extra constant ig which im not being able to eliminate

[frail hedge]

just put x=0 in the original equation

so the definite integration become from x=0 to x=0 therefore its value becomes zero and you get f(0)=2

[quasi goblet]

oh right ya...thnku

[frail hedge]

no problem

[formal venture]

'I watched the video. But then I changed my mind. i feel its important to share to yourself Roman litearlly - my communication to you in this 1 chat (is the only reason why i had been using the 'discord app on my PC', have about 15 other - old discord groups i joined in the past i never used. MY PLAN CHANGED recently Myles G - gave me the link to 'Data camp website in the UK' after i saw his video on it : I started it , I told my mother i feel like its literally like ' the best maths or coding' training website which i have ever seen in my life that will directly allow me to ' get the higher jobs' in the UK , are you familiar with data camp roman? ' I can just PAY FOR IT tomorrow and - apply the concepts which ' maths sourcer ' said in the 10 mins video of 'how to study maths' which i wrote paper notes off ERM - and then its like ' I know exactly what im doing on my to do list ! - e.g. I am just going to spend as much time on 'data camp trying to complete it - and that will directly lead myself to the qualifications higher in the UK - there is probably nothing more ' a thing right now online - which would allow myself Tim with ASD - 'to make more , the most money as possible do you think? Like some use the skool website , or shopify - but im going to use data camp, should I broad cast this, thanks for reading ! I HAVE A REPEATING VOICE IN MY HEAD - maybe i should just leave this chat completely , stop using discord - ( "

[tired cypress]

Hey Timothy. That's fair enough, you could definitely follow a training platform if you feel like that's best suited to what you'd like to do. If you think this Data Camp one works for you then go for it :)

There's more that goes into getting a job than the skills of course, but that's something to revisit when you're at the point of looking to start applying. Keep us updated with how you get on!

[formal venture]

quote "There's more that goes into getting a job than the skills of course, but that's something to revisit when you're at the point of looking to start applying. Keep us updated with how you get on!" okay - why do you want me to update you? YEA , I JUST FOUND THE 'DATA CAMP SUBB REDDIT, AND STARTED POST THERE, could link you* 3) would you be willing to do a video call here? T C T U thanks !

[tired cypress]

You're not obliged to provide updates it's just encouraging and a common thing people do on this server to show progress - helps with sticking to habits.

And no, sorry, I don't video call

[craggy jewel]

does anyone do formal logic 0-0 I am struggling so much with the truth tables and the short form ones

[obsidian spire]

Maybe depending on the questions

Does anybody know why log is weird on C? Is it because z=re^i(theta)? And the e does some funky stuff?

[orchid osprey]

how to calculature this in Boards

how will i know that root 35

is 5.92

[frail hedge]

you can use binomial approximation rt35 = (36-1)^1/2 then take 36 common

[haughty quest]

you can use binomial approximation or you can even learn the long division method (this does take some time though)

https://www.youtube.com/watch?v=Ga1_wuLz0QM

[fallen flax]

<@&942391219206647828>

[winged heart]

yall this ques sucks

[lost sorrel]

guys. I have results for my Hepothesis Chi-squared test statistic: 1.59
Degrees of freedom: 3
Level of significance: 0.6619
and other level of significance over 0.2 (0.4, 0.6 etc). Is my Hypothesis correct?

[tired granite]

since there is no physics help
i ll ask my qs here

[delicate osprey]

i think c is the correct answer- for a point charge we usually consider a sphere as a gaussian suface

[tired granite]

yes thats right ans but i dont understand why?
also i feel d option is incorrect too

a gaussian surface cud be any shape right?

[delicate osprey]

electric field might not be perpendicular at points if we consider a cibe

cube*

[tired granite]

thats what i thought but we do have qs where a point charge q is placed at vertices
why?

i can still understand

but i dont get how d is correct

i thought we cud make a blob shape and it wud still be conisdered gaussian surface

i ask chatgpt and it agreed with me (typical of it tbh it ll agree with u on anything)

[delicate osprey]

see option c is definitely incorrect coz what they are talking is abt a single point of charge

and a point is circle (a sphere in 3d) so, having a cube as a gaussian surface would definitely violate perpendicular thesis

[tired granite]

yes i understand

thanks alot i alr knew this but needed confirmation

[delicate osprey]

and talking abt the d option, yes gaussian surfaces need not to be symmetrical but , comparing option c and d- c is definitely incorrect. if it is a single answer que then option d automatically gets eliminated

[tired granite]

that makes sense
quite confusing lol
thanks alot 💜

[delicate osprey]

i hope i helped u lil bit

xd

[obsidian spire]

I am gonna start doing more random math problems outside of my hw.. I need to get faster at solving problems

[left knoll]

Need help with this I don’t understand and use ai but ai also gave me the wrong answer 😭

[agile jolt]

I could use ai too
Ig I did learn this in engineering economy but can't remember a thing
But still I could know if ai is using the right equation
Lemme give it a try

[agile jolt]

Nvm it can't be solved by engineering economy mb

[tropic lichen]

if you have a ti-84 you can plug the two columns into the spreadsheet thing and click the stat button and then click on the lin reg option and use the equation to solve for when y is whatever profit the question is asking for

it’s basically just a line of best fit

[left knoll]

Ooo

[rancid plaza]

lol

[rancid plaza]

looks like a sat question

[dawn saffron]

damn it looks like an error in the textbook. Is this ncert?

[rancid plaza]

NCERT Exemplar 11

[rustic lynx]

Hello. i am stuck on some logic homework... does anybody know how to solve this? or can help? 🙂

[lyric leaf]

@rustic lynx
i think this is the rough idea,
for any, a in A, b in B, c in C, d in D,
elements on the LHS are eithen in (A x B) or (C x D) hence they look like (a, b) or (c, d)
take (a, b) then check if its in the right hand side,
because a is in (A or C) and b is in (B or D),
(a, b) is in the RHS,
similar argument for elements which look like (c, d) on the left hand side
(hence this shows the LHS is a subset of the RHS)

to check for equality/inequality, try and find elements on the RHS that are not in the LHS. might be useful to write out examples of elements of the right hand side in terms of a, b, c and d

[rustic lynx]

Thank you! That helps :))

[lyric leaf]

:D

[obsidian spire]

Hey guys, any good resources for getting started in knot theory?

[weak lotus]

Lacan

[bronze pollen]

hi guys

can anybody help me on this problem

Counting Towers on CSES

[undone shell]

Sinthome go bruh 🙂 (Borromean knot is not a knot apparently in Knot theory )

But nice “psychotic” joke

[rancid plaza]

I didn't get how the output for n=2 is 8.

I can definitely think of more than 8 non-isomorphic configuration

[obsidian spire]

There are 4 configs where you use 1 block of 2, 2 configs where you use 2 blocks of two, and for using 0 blocks of length 2 there is: 1 config where you use 1 2x2 and 1 config where you use 4 1 by 1's. Should total up to 8

[stuck creek]

<@&942391219206647828> Another scammer over here

it's weird that this keeps happening

[tropic oyster]

Thanks!

[stuck creek]

My pleasure 😼 👍

[candid moth]

An internal error occurred.

If this keeps happening, you should contact the developers on the official mathbot server: https://discord.gg/JbJbRZS

[latent flare]

<@&942391219206647828>

[trail swift]

thanks

[dreamy spear]

Question 7: If xyz = 10, then solve log(xn yn / zn) + log(yn zn / xn) + log(zn xn / yn).

Solution:

log(xn yn / zn * yn zn / xn * zn xn / yn)
= log xn yn zn
= log(xyz)n
= n log(xyz)
= n log(10)
= n×1
= n

can anyone please explain why did we take 10 as base, i am still in highschool so i am just starting to learn.

[deft jetty]

it's assumed 10 is the base since it's log with no subscript there. Usually log is always base 10 by default. Sometimes it's e, but usually when it's e they'll just use ln(

if it was log_2(xyz) then the base would be 2 and you couldn't simplify it just like that.

[sudden smelt]

can anyone explain to me how to solve these kinda problems? im so confused i dont understand this at all ive watched like 3 vids already 🙁

[nimble nest]

thats the parrelelogram law, im pretty sure. is it asking for vectors or angles?

[sudden smelt]

its called triangle congruence

we trying to prove congruence between the too triangles and sometimes they share a line

[bitter burrow]

guys this limites it's to hard

[obsidian spire]

This is like some l'hopital calculus stuff?

[bitter burrow]

"Yes, exactly

[bitter burrow]

yesssss thanks bro for your answer.

[jagged rune]

SIR T9RA 3ND BAAAC

SM

[bitter burrow]

Yaak hhhhhhhhhhhhh

[bitter burrow]

bsaa7tk

[bitter burrow]

b7ala anta ma3ndkch

[jagged rune]

chkon galk ana 3ndi lbac ?

[bitter burrow]

ma3arft

[bitter burrow]

<@&942391219206647828>

[bitter burrow]

cccù

[tropic oyster]

One ping is more than enough. Thanks!

[bitter burrow]

okey im sorry again

[jagged rune]

?

[bitter burrow]

wach maghribi

hadika chkon bgha ya9ra da5l lgrp dyal l9raya kaaaayn

mnin anta

[jagged rune]

la mn DZ

machi maroki

[bitter burrow]

Wayliii

[jagged rune]

aywah barcha mn dz

[bitter burrow]

hmhmhhm

mnin anta man DZ

[jagged rune]

ouahrane

[bitter burrow]

wallah 7ta kant 3arf wach ghat9olha

7it lmgharba 3arfin ghir ouahrane

https://tenor.com/view/death-note-light-yagami-kira-light-evil-gif-26630777

[jagged rune]

yakho ana moch maghribi

ich fik

[bitter burrow]

https://tenor.com/view/death-note-light-yagami-light-yagami-laugh-maniac-maniacal-laugh-gif-24380748

ta rah m3ak SM

[jagged rune]

wich fi ida inta SM ? et apres >?

[bitter burrow]

https://tenor.com/view/classroom-of-the-elite-youkoso-jitsuryoku-shijou-shugi-no-kyoushitsu-ayanokoji-cool-cold-gif-17942781868761444951

nsa nsa

[obsidian spire]

What sort of math do you need to check if transcendental irrational numbers are rational multiples of each other? For example, pi and e

[left knoll]

Transcendental Number Theory

[hexed spoke]

<@&942391219206647828>

[tropic oyster]

Please only ping us once. Thanks

[hexed spoke]

oh sorry sorry

[obsidian spire]

thanks, I'll have to look this up. Seems like they are not closed under addition or multiplication, so studying them may be strange.

[dreamy radish]

what is a surface reaction?

[tired aurora]

What's the context? Statics?

[dreamy radish]

Yeah

[tired aurora]

Then it's the equal and opposite reaction to an applied force, at the surface. When you stand on the floor you exert your weight onto the ground, but in order for you to be stationary there has to be an equal force pushing up on you. That force is the reation force from the floor pushing against your feet

[dreamy radish]

so like if an object is in contact with a surface, its basically the force that the surface is applying on the object?

[tired aurora]

Yep basically

Usually it's just called a reaction force as far as I'm aware, but of course follow whatever your textbook is saying for your exam

[dreamy radish]

so whats the direction of the 3rd surface reaction?

its in contact with 2 surfaces

but i think im supposed to get 3 values?

[tired aurora]

For a frictionless surface, the reaction force is always perpendicular to the surface

[dreamy radish]

yes, but the cylinder in the middle is in contact with two surfaces

[tired aurora]

Yep and also with the two other drums

[dreamy radish]

which gives me two values

instead of 1

[tired aurora]

Is this for part 1 of the question

[dreamy radish]

am i supposed to find its resultant after calculating the summation of x and y coordinates

[tired aurora]

Or question 1, rather

[dreamy radish]

yes

thank you for helping me

i admire your patience

[tired aurora]

Hmm I'm not really sure if they want the magnitude for each or what

[dreamy radish]

right? the question itself is confusing me then the actual answer

[tired aurora]

The question is a little vague to be honest if they only want 3 numbers

But i think this is something that you can reasonably ask your professor about, since it's not about the answer just about how the question is formulated

[dreamy radish]

alright let me see what i can do

[tired aurora]

Surface reaction is also a bit non-standard as a term and introduces some uncertainty. I'm not sure if it means just the slanted surfaces or also the surfaces of the drums acting on each other

Well good luck

[hallow valley]

https://youtu.be/F_qBxlZvBIk?si=m8oPwenB_OJKjR78

Made an explainer video, how's it

[queen shard]

Hii guys is there any recomendend videos for this exam ? like formulas and easy ways to solve all of them

[halcyon egret]

ngl might just be a case of grinding through a lot of similar questions so you spot the patterns quickly and the identities come quickly to you

can help out if theres a particular question

[queen shard]

after 3 i need help tbh

[halcyon egret]

for 4, the question gives a hint for the approach to take: you can take the natural log (since theres a nice differentiation rule for that) and apply chain rule afterwards

[twilit vigil]

who knows?

[restive hinge]

https://youtu.be/ZU-cIz8dvqU?si=_5ulsU8tT60CHjz-
this vid will help anyone who struggles in trig

[devout portal]

hello is anyone familiar with robot kinematics, dynamics and control? im really struggling to find material easy enough for me to understand

[devout portal]

Can anyone help TT

[obsidian spire]

Suppose you wanted to find if two Gl_2(C) matrices, A and B, were conjugate. How can one find the conjugating GL_2(C) matrix P? Conjugating meaning A=PB(P^-1). It should be similar to changing bases (maybe), which I am not familiar with.

[fast torrent]

can u send the image of the question

[obsidian spire]

Its for these two matrices

Looking to see if we can find them via conjugation by some matrix P,

[obsidian spire]

I don't really understand the process for how to find such a P. Other than.. left multiply on the right and right multiply on the left I guess?

Then solve 4 systems of equations

[obsidian spire]

I think there should be some short cut via finding eigenvectors of the matrices though

When I tried to my the columns of P the eigen vectors it didn't quite work though. it was off by like 1 column/1 row

[vital oak]

Grade 9 Geometry, I need help with this problem

[obsidian spire]

Not sure if you can use a calculator here. But maybe create some triangles and find angles, hypotenuse', and some equations for x that you can play with.

[weary leaf]

Ok so the idea is to show that triangles TUW and VTS are similar. You get that by finding two pairs of equal angles. You have the angles VTS and WTU, cause they are vertical angles. Then you have SUW and WVS cause they subtend the same arc SW. So the triangles are similar => you can form ratios, 6/(x+2) = 2/(x-4), solve for x and it's done

[white rock]

anyone here proficient with formal languages, complexity and computability or is currently studying these topics?

[weary leaf]

<@&942391219206647828>

[tropic oyster]

thanks

[weary leaf]

Use Riemann Sums

First use logarithm to take out the x/n from there

[weary leaf]

<@&942391219206647828>

[rich perch]

Oh hey guys!! This is actually really helpful omg. I'm kinda desperate for some help and I want some good advice abt my current struggle.

I'm currently enrolled in a tutorial center and I realized how bad I was at a lot of my earlier high school math... Pre-alg, alg, geom, trig, even miscellaneous math subjects. I'm so discouraged cause even the students who hate science subs are better than me at math and it kinda hurts my heart a bit. Lately I've started reviewing my pre-alg handbook and I'm trying to work my way up those higher math subs but I still feel bad abt my weaknesses cause I'm an aspiring physicist who's terrible at math 💔

And, if you haven't guessed already, without a calculator I'm basically as slow as a first year high school student...

[weary leaf]

Sper sa ti se atrofieze sufletul

<@&942391219206647828>

[bold bone]

dw we all got to start somewhere, math is all about having fun and practice, keep pushin and you'll make it

[weary leaf]

And math is even funnier when you get the basics and start reading complex stuff like you reading the paper

[bold bone]

basically a whole new language to learn

[obsidian spire]

Math is 95% about having the basics down, so you're doing the right thing. It'll be a lot easier after that.

[rich perch]

Man I hope so, I feel so stupid trying to learn but I know I got this

[distant kite]

Yo, I’m in my 2. sem. If you’re behind and just want to pass, you should ask your seniors if you can get last year’s exams for the courses you have, and then try to solve the problems (even if you can’t). When you can’t solve a problem, figure out how to do it. That way, you’ll get an understanding of your upcoming exams, and the questions will be pretty similar.

[rich perch]

Thanks for the tip! I've tried this already thoughh and most of our profs don't have their previous materials saved huhu

[distant kite]

mabye some of your seniors?

[tropic lichen]

for my linear algebra final exam i can bring one index card with info on it. what do you think is the most importnant things to put on it?

[bold bone]

morphism criterias? tbf my algebra exams had linear + abstract algebra so idk what you could have in a linear-algebra-only exam

[obsidian spire]

Things you don't have memorized basically

[rich perch]

That's where I got my info from lolz, they asked our profs and they told them most of their previous ppts or files aren't saved

unfortunately, most of our teachers arent known for dedicating permanent spaces for their files so it often becomes inaccessible after a whole term and trying to find it is basically redundant

[obsidian spire]

Anybody know a nice way to intuitively understand branch cuts? (ways to restrict multi-valued complex functions into single valued functions on C \ {branch cut})

[austere light]

III.3 guys help me

[obsidian spire]

idk what the question is

[spice rivet]

idk what the answer is

[obsidian spire]

can there be an answer without a question 🤔

[weary leaf]

Can there be jelly without peanut butter?

[placid cloud]

yes

but is it correct

[weary leaf]

Lol

Idk, but I guess you can use Viete here

[obsidian spire]

Quadratic just means degree 2 polynomial. I see some obvious things you can do. (x-(g)) has g as a root. (x-(g))(x-(h)) has g and h as roots. You can use this reasoning on your problem type.

Also, you could solve for the roots of the first in x^2-2x+5, then I guess compute the expressions in your problems, then use the fact above ^

Seems like you were using a fancier trick though that's perhaps faster

[heady smelt]

oh yeah finding alpha and beta first and then calculating the new roots could work too

[heady smelt]

yeah actually because i am preparing for a college entrance examm

thanks

[obsidian spire]

Okay so you were just expressing the root in terms of the relation given at the start to eliminate terms

[heady smelt]

exactly

first root (in terms of alpha) gets easily done with the trick but the second one i think it needs to be done manually

[obsidian spire]

Pulling out the part in the ideal of x^2-2x+5 should leave you with -6B + 20 I think?

[heady smelt]

yeah yeah

i think the original roots are imaginary too that makes it harder

i think there is a printing error

[obsidian spire]

Well yeah you get +/- 2 i using the quad eqn

For the part in the radical

Maybe they are complex numbers for some of these?

[obsidian spire]

Does your prep forbid you from using complex numbers here? Since the roots are imaginary like you mentioned. Shown through completing the square or quad eqn

[heady smelt]

no no

i just think that this question was not supposed to be like that

[heady smelt]

that -6B you and i are getting, shouldnt be there i think

[obsidian spire]

Well I dont see why not, but maybe.

[heady smelt]

well just leave it man i think you are kind of right

[weary leaf]

@heady smelt

Actually you can reduce the complexity

And use the complex

[heady smelt]

Thanks bro maybe I will be able to understand the solutions after I read complex numbers 😭

❤️❤️

[obsidian spire]

Complex numbers show up everywhere, its good to learn about them.

[heady smelt]

Yeah I will it's in my course

[weary leaf]

Not that hard to grasp, a complex number is just a point in R²

If you read the way C set is built, you'll see it's just R x R

With some special multiplication rule, summin two elements it's done by components

And i = (0, 1)

[heady smelt]

Yeah yeah, I have a little idea that compex numbers are points on the R×R plane

[mortal marsh]

I'm facing trouble in vectors can someone pls help me out?

[obsidian spire]

It's R^2 with a special multiplication defined for it. Multiplying two complex numbers multiplies their magnitudes and adds their angles.

This forms a field

[bold bone]

Depends, what do you have trouble with?

[mortal marsh]

Well I can't seem to understand how to solve a few problems regarding cosine of vectors and dot vectors and cross vectors

[heady smelt]

I need to learn this chapter asap 😂😭🙈

[keen walrus]

to anyone that has taken linear algebra and differential equations how did you guys study for it?

[weak lotus]

1. watch 3B1B
2. pray with the bible in your hand while studying

cuz that shit in first semester of college is difficult as heck.

[weary leaf]

Linear algebra is ok, but differential equations slaps you in the face

[sinful narwhal]

first time was so nice I had to do it twice (I am retaking DE)

algebra is ok. but yeah, lots of practicing

[obsidian spire]

<@&942391219206647828> got some here

[weary leaf]

Lol

Fr, it's harsh af

I had a to prepare for my DE exam sumn like 30 proofs, and 3 of em were 8 pages long

(I'm studying pure maths)

[weary leaf]

<@&942391219206647828>

[obsidian spire]

<@&942391219206647828>

[sinful narwhal]

so true! and my exam has multiple choice too, so sometimes you write pages of calculus and if you miss something it all goes to waste, you know? it's frustrating!

i am studying for my exam that is next monday. it's covering 2nd order DE, laplace and fourier

[obsidian spire]

I need to review all the DE stuff, the complications are pretty extensive.

[weary leaf]

This semester I've had variational calculus, DE 2.0

YOU DONT WANNA KNOW

[sinful narwhal]

I don't, yeah AHAHAHAH
To be honest, I really really like maths. But studying it from a theoretical point gets soooo abstract. That's why I've chose to study engineering instead. We use crazy maths concepts but since they're applied to a real problem, things get either easier, or just easier to understand. While in maths you have to keep all those letters because they don't really mean anything as you're just proving a theorem or something like that, you know?

[weary leaf]

Yeah, I know what you mean. The main purpose of maths is to prove that what engineers and physicist do is actually correct. Each way of solving a problem has a very solid mathematical base. And it gets deeper and deeper sometimes. It's just insane how many theoretical results there are.

If you open up a book of algebraic topology, you'll be stunned

Me af when I did it

https://tenor.com/view/wow-oh-really-gif-11713487

[sinful narwhal]

Yes! It's interesting to know that a lot of the maths we use to simplify our calculus, like Laplace Transform, is in fact not that simple ahahah

[sinful narwhal]

https://tenor.com/view/it's-time-to-stop-gif-9416155803997449261

[weary leaf]

https://tenor.com/view/horse-spin-horse-meme-shower-gif-8281158484574215153

[sinful narwhal]

I remember drawing some figures in calc2, but they were soo basic compared to what I just searched lol

[weary leaf]

Oh, algebraic topology is important for differential geometry, that's why

[obsidian spire]

I think thats just a side effect. The real purpose is for mathematicians to be sure that what they are doing is in fact legit. Since theres nobody there to tell ya 'you got the answer correct' in reality when working on new concepts. I mean there are other mathematicians but they will have to use the same criteria to judge that as you do.

[sinful narwhal]

I think it goes both ways. Sometimes mathematicians work on something before they know how to apply it, and sometimes they work on real problems coming mainly from physics

That's why most physicists were also mathematicians

[obsidian spire]

Well its true a lot of math has been developed to help answer questions in physics, like with string theory

[obsidian spire]

Ya physicists and mathematicians have a lot in common

[sinful narwhal]

yesss quantum mechanics!!

[wild wigeon]

1 + 4 = 7

[left knoll]

hi anyone knows how to implement active recall in maths

[left knoll]

try again

[distant shell]

should be 6, right?

[left knoll]

no it’s 10

[fiery pawn]

math is all about practicing the more you practice the easier it will get, active recall doesnt really work with math from my experience

[left knoll]

🙄

[fiery pawn]

i thought it was 21

[left knoll]

then it should be 13

[left knoll]

thank you

[fluid axle]

Nice topic. Ill move in here

[distant shell]

lmaoo

[left knoll]

idk what is 2 + 2

[distant shell]

5

pretty sure

[old glacier]

Is 6 trust me

[distant shell]

k

[analog token]

hi gys

What are the coordinates of point A?

[muted olive]

(4,-2)

[charred oar]

(4,-2)

[analog token]

wow oki oki thx guys

[minor scaffold]

assuming cartesian coordinate plane in R2: (4, -2)

[muted olive]

x is the horizontal and y is the vertical
(x,y)

[analog token]

thx guys now i understand

[random sand]

look at the x value (left and right, 4) and then look at the y value (up and down, -2) and then do (x, y)

[analog token]

thanks <33

[random sand]

good luck!! :)

[analog token]

thx <33

i dont understand this T-T

a. undefined
b. zero
c. positive
d. negative

[analog token]

Which of the following correctly describes the value slope of the line below?

[lucid lynx]

isn’t it negative?

[finite mason]

negative

[analog token]

aight thx <33

lemme watch

thx for the help <33

[neat flare]

hey can any body solve this sin^2a-cos^2a.cos2b=sin^2b-cos^2b.cos2a
prove

[dreamy charm]

I can

[heady tendon]

Could someone give me a hint to prove gauss-lucas theorem ? i don't really know where to start

[neat flare]

oh thats simple

[dreamy charm]

Start from top

[heady tendon]

what do you mean ?

[simple glacier]

You mean the gauss theorem in electric/gravitational feild?

[dreamy charm]

I mean from top that question duh

@heady tendon i am a teacher

[heady tendon]

No no this one : If P is a (nonconstant) polynomial with complex coefficients, all zeros of P′ belong to the convex hull of the set of zeros of P.

[heady tendon]

Sorry i don't really know what "start from top" means, is it a english expression, sorry that i'm confused

[dreamy charm]

can you join vc i will tell you

[heady tendon]

i can't sorry i'm in class right now

[dreamy charm]

Then Ask To Teacher @heady tendon IDIOT

[heady tendon]

? calm down

I am in english class

not gonna ask a math question

You seem rude for a teacher

[dreamy charm]

oh sorry by the way are you from asia

[heady tendon]

No i'm from europe

[neat flare]

sin^2a-cos^2a.cos2b=sin^2b-cos^2b.cos2a
prove

can any body

help me out

[heady tendon]

yes i can

i have already done it

i mean in the past

want the full solution or an hint ?

[neat flare]

oh wow thank you full solution would be better

[neat flare]

😊

[heady tendon]

and Adonis couldn't help you @neat flare ? Isn't he a teach ?

ok 2sec

i will copy paste it

[neat flare]

that mf is an asian teacher i asked him and he was rude af

[simple glacier]

I got a big syllabus to cover in a few weeks before exam. Should i memorise or study properly? I'm stressed.

[bright ore]

i think you should study properly, you still have a few weeks

it's not like you have just a few days or smth yk

[simple glacier]

And its 3 hours of study or something before Im at my limit

[bright ore]

block it

you don't need to do it all in one sitting (i can't study for more than 4 hours either i get hella burnt out)

[simple glacier]

You mean i should take breaks?

[bright ore]

yeah and spread it out over several days

[simple glacier]

Ahh right

And what do you do, to make sure you remember it. After understanding.

In physics etc

[bright ore]

practice

i haven't taken physics yet tho

[simple glacier]

Wow, okay thanks..!

[bright ore]

yw 🙂

[simple glacier]

I had started making short notes when studying from big book

So i dont need to refer to the big thing if i needed

[heady tendon]

sin²a-cos²acos2b
= sin²a - cos²a(2cos²b-1)
(devellop a bit and cancel terms out)
= cos²b+sin²b - cos²a.2cos²b
=sin²b - cos²b(2cos²a-1)
devellop and it's all good @neat flare !

[simple glacier]

And refer it during exams too😛 Online exams

[bright ore]

yes yes

notes during online exams ❤️

life savers ❤️

[simple glacier]

Yeppp😂 Thanks anyways👍

[bright ore]

thank god my junior year is this year rather than another ❤️

[simple glacier]

Where you from?

[neat flare]

oh thanks bro for your help i really appreciate it

[bright ore]

i'm from the US

wbu?

[heady tendon]

no problem

[simple glacier]

India. its 10.34pm here

[neat flare]

@simple glacier mi vs csk

[bright ore]

oh cool!

[simple glacier]

lol i dont watch that. All of my friends do though

[heady tendon]

So anyone got a clue to prove this theorem ? If P is a (nonconstant) polynomial with complex coefficients, all zeros of P′ belong to the convex hull of the set of zeros of P.

[bright ore]

it's 1:05PM here

[bright ore]

watch what- i'm confused

[simple glacier]

Actually its my first sem of univ, and i didnt pay attention when they were teaching. Nor did i study by myself. I now realise i should have studied. So the syllabus looks like new to me now that exams are near

[simple glacier]

Ah, sorry it was for @neat flare

[muted cape]

@heady tendon what prepa are you in?

[heady tendon]

Saint Louis

[bright ore]

oh lmaoo

[neat flare]

oh i am sorry i thought it was easy but i didnt read properly

[simple glacier]

Its yearly national cricket thing

[bright ore]

ohhh cool cool

[heady tendon]

yeah ahah it's not really easy, for me atleast

[neat flare]

oh srry

i have been playing games for all year and now my exams are near😢 😆

[simple glacier]

Me too😥

But ive been doing it for just 3 months, and now its end sem

[heady tendon]

Anyone got a clue to prove this theorem ? If P is a (nonconstant) polynomial with complex coefficients, all zeros of P′ belong to the convex hull of the set of zeros of P.
(sorry for reposting this message but it's getting buried over others)

[neat flare]

but lucky me the lockdown in my country gonna extend so the exams are probbaly gonna cancel

😄

[short grove]

Hi I'm also French

[heady tendon]

ok

[short grove]

But I can't help u I'm in "2nde"

Sorry

[heady tendon]

that's ok np

[short grove]

You have a Cédric Villani photo xD

[heady tendon]

yes, he's smoking some chicha on it

[short grove]

You are in ENS ?

[heady tendon]

Not at all i'm aiming for the ENS but i'm still in prépa mpsi

[whole turtle]

Can they have a little look at this?

[mental dragon]

not sure if you're asking for help w the question @whole turtle but the trick for A is that the height and radius of water volume V is the same proportion as the height and radius of the container.
And the proportion between r and h looks like this (no matter how high the water is) r/h = 16/24 => r = 2h/3
So just substitute in r = 2h/3 to the given correct formula V = 1/3 * pi*r^2h and you'll get the answer.

[whole turtle]

@mental dragon thank you!

[mental dragon]

Actually damn I think there might be a typo in the question. The volume of a circular cone is 1/3*pi * r^2* h
https://www.google.com/search?q=volume+of+a+circular+cone&oq=volume+of+a+circular+&aqs=chrome.0.0l2j69i57j0l7.3222j0j7&sourceid=chrome&ie=UTF-8
So if u ignore the 4 in the original formula you should get the right answer.

[whole turtle]

Okok I'll try that

[mental dragon]

For part B, now you already have the formula for V, so you just have to take the derivative with respect to h. lmk if it's not clear : )

[heady tendon]

i eventually figuret out a proof but thanks !

[mental dragon]

sorry, didn't see the earlier messages.

awesome

[heady tendon]

i didn't want to just look at the proof

not really useful in terms of learning

[simple glacier]

Right, I remember it that 3 cones fill a cylinder😁

[humble oar]

I don't think so, V does not depend on h, we need to find dh / dV

[mental dragon]

I see you are right. @humble oar ^

[whole turtle]

I ended up finding d/dh of (4pi h^3)/27

[whole turtle]

it got me to an answer so i think it might be right?

[humble oar]

h(V)=(27V/4pi)^(1/3)=3(4pi)^(-1/3)*V^(1/3)
dh/dV=(4pi)^(-1/3)*V^(-2/3)
when h=12, V=256pi

dV/dt=8

so dh/dt=8(4pi)^(-1/3)V^(-2/3) V=256pi

i hope 1/8pi is the correct answer

[twilit fossil]

Hey! someone have some idea of linear algebra? Ive been trying to make a proof but I just dont know how to start

[humble oar]

i took that subject in the last semester and I didn't pass💩 , maybe I still remember something anyway

[midnight mulch]

my only idea I get from linear algebra are from 3blue1brown youtube videos...

that's probably the best playlist to learn linear algebra: https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab

[ivory kestrel]

is anyone doing math IGCSE this month?

[spare flicker]

depends on proof but I basically have forgotten everything from my studies

¯_(ツ)_/¯

[twilit fossil]

Same hahaha, I took that course a year ago, Im trying to help a friend

[spare flicker]

how what needs to be proven and we might figure things out

[twilit fossil]

let V be a euclidean space and S = (v1, v2, .., vn) ⊂ V, Show that if the vectors u and v are linearly dependent, the following holds

[left knoll]

Okay can someone tell me how often fractions are used in 10th grade math?

I’m going to 8th grade next year and will be taking 10th grade math but the only thing I know how to do with fractions is turn it into a decimal.. I haven’t used fractions since 5th grade but they started coming back in 9th grade math (not enough to make me want to relearn fractions entirely, but I’m starting to think that was a mistake..) and now I’m worried

[regal pike]

ax²-2a²+a+1=0 a=/=0 a's smallest value for a? isnt it infinite negative?

[mental dragon]

@left knoll do you know what is in 10th grade math / what you have learned so far? In my high school, we called the classes Algebra1, Algebra2, Geometry, PreCalc, Calc, etc.

[cloud valley]

bro you're in high school, enjoy life while u still can lmao, dont worry that much

[fluid axle]

Glad that someone in 7th grade love math that much. But in other side try to enjoy your life too, maybe do a volcanic experiment

[left knoll]

Can I dm? I don’t wanna flood this with just pictures of my states education standards lol

[mental dragon]

@left knoll yea sure!

[heady tendon]

(I am assuming that those are the classic norm over an euclidian space and the scalar product) (it would'nt work for any bilinear application) it's just an application of cauchy-schwarz theorem, the equality stems from the fact that u and v are linearly dependant, otherwise it would be an inequality (=<)

[steady cargo]

you can show it explicitly by using linearity of the scalar product, just assume, since the vectors are linearly dependant, that i.e u_i = \Sigma_i^n \lambda_i v_i, replace u and use properties of the scalar product

[twilit fossil]

That's very useful!! Thank you so much @steady cargo @heady tendon

[steady cargo]

i hope you ve seen it, it should be u = \Sigma_i^n \lambda_i v_i (not u_i)

[pulsar dove]

Anyone here good with area between two curves (Calc 1)?

[somber echo]

so just integration?

[pulsar dove]

@somber echo Yeah. The problem deals with a function of Y and one of the two bounds for the problem is where I am confused.

[somber echo]

are they bound by a domain or a range

[pulsar dove]

Range? Not too sure. Here is the problem for a better idea

I initially tried to solve for the bounds but became confused. Then I used Symbolab and Desmos to determine the bounds. However, the way Symbolab goes about finding the bounds I have never heard of

[somber echo]

are you trying to solve like this?

[pulsar dove]

Not exactly. I simply shaded in the area bounded by both curves. So the golden/yellow area I did not account for

[somber echo]

so are you having trouble solving for y-axis intercepts?

[pulsar dove]

Oh wait, I am just dumb. I transcribed the problem incorrectly resulting in a "2y-y^4" instead of a "2y-y^2"

[somber echo]

yeah thatll do it

[pulsar dove]

My apologies. I'll msg here if I am confused after reworking the problem

[somber echo]

sure dont forgot to subtract that yellow section

[pulsar dove]

If correctly bounded I don't believe it would be necessary to do so

[dreamy charm]

@heady tendon hello sory for yestrday

[somber echo]

yeah true oops its been a while since ive done area bounded by functions lol

[pulsar dove]

All good. I am having to get very familiar with these types of functions/questions for my Calc 1 final @somber echo

[somber echo]

good luck ive thankfully finished all the math courses in my degree haha

[pulsar dove]

Glad to hear! I've got two more calcs, diff eq, and an engineering stats course 😃

[somber echo]

ordinary differential equations?

(ODE's)

[left knoll]

Anyone here solving 3 D Geometry

I would like to study with you if you are

I am quite strong in it

[viscid skiff]

Ayuda gente

Ahorita les paso la imagen

[cloud scarab]

Apoco lo de Hugo es un video?

[keen plover]

I have to demonstrate this using Taylor's Theorem any ideas ?

[random flame]

Eyo can someone help me with Q1? Ping me if you do and thank you!

[gentle heron]

@random flame I dont know why i cant get rid of n 🙂

[random flame]

Rip XDD

[gentle heron]

this is the best i can do @@

[random flame]

wait where did you get g-

PAHAHA IDK HOW TO UNDERSTAND SMART PPL XD

[gentle heron]

I'm still in highschool and in VietNam we are taught to do quite complicated math 😊

[random flame]

Ooo

Same with my school XD

The standards are just rly high @-@

[gentle heron]

yeah Asian stuff ~~

[random flame]

Yeah I'm Asian aso XD

But I can't keep up aaaa @_@

[gentle heron]

same

[left knoll]

Honestly

I’m not even sure

[random flame]

OH MY- WHAT THE FUDGE- XDD

Thanks tho XD

[gentle heron]

what the heck

[left knoll]

I definitely broke

96+ maths laws

[random flame]

Well you broke my mind 🤣

[left knoll]

The thing is, it’s two unknowns, so presumably you’d use simultaneous equations.

[random flame]

Yea I thought abt that aso

But idk how to form the other equation-

[left knoll]

I just couldn’t figure out how to derive them, so I made them = and whenever everything would cancel out to zero I pushed all terms except one to the other side then substituted it in.

[gentle heron]

u cant get rid of 3 like that :))))

[random flame]

Why did I take Add Maths in the first place :>

[left knoll]

Yeah for sure as I said I probably broke all the laws

there may be an error in the question because if the + was a x I can see how you can derive two linear simult equations

[cold kestrel]

Can some please provide me with PDF of Vikas Gupta Coordinate Geometry for JEE? Please help.

[random flame]

Don’t think it’s an error tho

This thing is apparently from some specialist tuition centre

[gentle heron]

this is where u wrong @left knoll

[scenic sleet]

Any1 knows double integration ?

[random flame]

Ima just pretend Q1 doesn’t exist, can y’all solve Q2-

I got an ans, but dk if it’s correct or not

[gentle heron]

i guess ?

[random flame]

Yea I got the same ans too

[gentle heron]

hurray ^^

[random flame]

I'm just bugging the smart ppl in my class abt Q1

and one of them actually got the ans

crazy ppl- XDD

[random flame]

W A T-

[left knoll]

@random flame you sure, Microsoft maths can’t give a solution

It just says K is a member of reals

So it can be any real number looool

[random flame]

Wait my friend is solving it ady-

Holly shit-

[left knoll]

Maybe you guys better than Microsoft maths idk 😂

[random flame]

PAHAHA NOT ME MAN

MS Maths probs can't solve Add Math shit, idk XD

[gentle heron]

how can this right ? 😄 i dont get it 🙂

[left knoll]

Me neither

Maybe it just not good

Noob

[random flame]

WHEEZE

[gentle heron]

ln= log (e) of something and there is no e

[left knoll]

Jesse tell me solution when you have it

I’m genuinely interested to see it

[random flame]

I’m sorry but I’m rly dying at Q11a :>

[random flame]

Yea sure sure

[gentle heron]

Q11: X=8

[random flame]

How-

[gentle heron]

u need to see this

[random flame]

I- oh my gosh-

[gentle heron]

welcome to math major baby :)))

[random flame]

WAIT THIS IS MATHS-?

BRU THIS APPEARED IN MY ADD MATHS-

WAIT I'M CONFUSING MYSELF

[gentle heron]

i learn it in grade 11

[random flame]

I'm in Grade 10 ;-;"

[gentle heron]

yeah get along with it

[random flame]

T^T

[heady tendon]

If you want an exercise similar to your q11 : 1) show that x here is such that floor(x)=n
2) generalise the result
good luck 😄 !

[random flame]

Wait I just realised isn't this the laws of indices?

[random flame]

Wait wait wait what-?

I'm sorry if I'm being straight up annoying rn-

[heady tendon]

You have a question on the exercise ?

[random flame]

Well I'm very confused with my Q11a-

[steady cargo]

@random flame just use property 10. from the property sheet by @gentle heron

[random flame]

Hmm

[steady cargo]

remember that sqrt(a b) = sqrt(a)sqrt(b)

[random flame]

Yeah umm I tried using rule 10

But I can't get the ans still

[steady cargo]

what did you get?

[random flame]

A very huge number

Hold on I show working

[random flame]

Yo so my fren said this

[knotty bone]

;; um i wouldve just squared lhs and rhs to until the lhs had no sqroot valurs and then solve that way ;;-;; ??

[random flame]

How tho

[heady tendon]

For your Q11 i found :

[random flame]

You used an app to solve it?

[heady tendon]

yes that's what i did

[random flame]

Oh-

Hmm

[heady tendon]

nope i just used one to write the answer

[knotty bone]

like (2^7/2)^2 = 2^7 if im remembering my indices laws right ;-;; and then i would've continued and gotten 2^(7x4) since theres 3 (x+8) values

oh yes we did the same thing then phew !!

[random flame]

I'm so sorry but I don't get it-

[heady tendon]

the process is : you square both sides then divide rhs by (x+8)
then square everything again and divide and repeat the process

[knotty bone]

ahh im from aus so this is so hard to explain since ur probs from the us -- i dont rlly like thinking of things as sqroot values so i turned everything into indice form ie. 2^1/2

so i did the same as mpsi but with a different format

[steady cargo]

write the term as = (x+8)^0.5 (x+8)^0.25 (x+8)^0.125

[random flame]

I'm from Southeast Asia btw HAHA

[knotty bone]

^^ :))

oh yay non usa gang !!

[random flame]

XDD

[knotty bone]

oh yes that method is vv good

zauers method of turning each (x+8) into individual values is vv good bcs then u can use property 4 which will be alot easier !!

[left knoll]

Yeah so this was my thinking

That the question doesn’t work somehow

[random flame]

Hmm

[left knoll]

And there’s some rule in maths that in complex indices questions

[random flame]

Aaaa okay

[left knoll]

The laws of indices start to break down

[random flame]

I- what-

[random flame]

I got this

[knotty bone]

oh wait u dont square the rhs :))

[random flame]

confused screaming

XDD

[knotty bone]

since the most lhs (x+8) by itself is a root square right

[random flame]

Yeah

[knotty bone]

so that means that when u change it into indice form , its (x+8)^1/2

but on ur rhs u squared the value, meaning that u applied an operation to only one side which is invalid

so ur lhs is perfect but u just need to keep the rhs as 2^7/2 if im right :))

[gentle heron]

sometimes u just have to write it down

[random flame]

Yo God bless y'all for helping

Thanks a lot y'all

I was pretty much annoying just now XD

[heady tendon]

No not at all it's okay to ask for help

[knotty bone]

yepp !! i rlly enjoyed it :)) if u have any more questions pls share im in yr 10 as well so this helps me alot alot !!

[random flame]

Ayy :0

[gentle heron]

i'm i the only grate 12 here 😦

[random flame]

RIP- XD

Tbh high school is just a pain for me cuz I skipped Year 6 and went to Year 7 straight, so here I am failing maths :>

[heady tendon]

Oh you're in grade 10 ahah ? @random flame
The exercise i submitted to you might be a bit hard then

[random flame]

PAHAHA XD

[heady tendon]

Are you in england or us ? i don't think grade 10 means the same in those countries

[random flame]

I'm in Southeast Asia

[heady tendon]

in my country grade 10 is still middle school

[knotty bone]

haha im from aus !! so we dont know anyone :Dd

[random flame]

XDD

[knotty bone]

i do the hsc whilst us does the sats? and uk does the gsces? idk ab southeast asia tho i just know singapores rlly smart ^;;

[heady tendon]

Oh then i don't really know where you're at, but regardless give the exercise a try !

[random flame]

Oh I'm taking UK syllabus

Y'know, Cambridge IGCSE

[left knoll]

That’s not a GCSE question lol

When I did GCSEs we’d have never got anything near that

[random flame]

But this is literally my school's exam standard :3

[random flame]

Aight hehe

[left knoll]

They are training you guys for like 9 to the power of 600

[random flame]

Exactly

The actual thing isn't that hard

[left knoll]

But like for real the actual gcse is piss

[random flame]

My school likes making everything harder

[knotty bone]

ahh the southeast asians r just too smart ;-;;

[left knoll]

You won’t even get shit like that as a level questions

[knotty bone]

oo what type of school do u go to like a rlly rlly top priv school :Dd

[random flame]

Pretty much

Sooo yea -w-"

[knotty bone]

!! just a bit too cool hahaha now i have to work even harder for my exams !!

[left knoll]

Also IGCSEs < GCSEs

[random flame]

Well too bad my school is just built like this XDD

[heady tendon]

yeah

[left knoll]

I remember because I took a few of both

[random flame]

Ooo

[left knoll]

And iGCSEs were easier than actual U.K. GCSEs

[random flame]

Damn- o-o

[left knoll]

Your school trying to kill you guys for no reason

Looool

[random flame]

EXACTLY

I've been failing subjects ever since I was at Year 7 :>

I never failed anything before Year 7

Wheee :>

[left knoll]

Lol an 9 in GCSEs must be an F at ur school

Lol

[random flame]

WHEEZE

[ruby tinsel]

Hi guys, I have a question on my investigation. I am going to do my own work but I just wanted to double check if my interpretation is right. Is the question asking me to create a scenario or suppose their initial positions and velocity or create variables for all so that if I put any values in, it will work? Thanks

[knotty bone]

oh yes !!

now this is physics which im a noob at

[random flame]

PFFT SAME-

[knotty bone]

but from what i can see, yes u will have to create equations so that any variable (ie distance or time) will yield a resukt

[ruby tinsel]

I have a feeling that I have to do both and prove my supposition...

[knotty bone]

so in part one theyre asking u to make parametric equations for Paul and Quinto which is rlly cool i havent touched that yet

ohh rlly ;-;; ack thats like double the workload then ;-;;

[ruby tinsel]

Yas,, also an opportunity to see if my equation does work or not

Okay thanks! I will ask my teacher tmr

[knotty bone]

hmm it also asks to find the best position for the person to be at to spray both dragonflies, that reminds me of optimisation using parametrics and derivatives which is all calculus ;-;;

[ruby tinsel]

I am learning calculus

[heady tendon]

General advice for classical dynamics physics problem :
Before starting to solve the problem do a drawing of the situation, choose an appropriate choice of reference (here obviously galilean) and coordinates, make a summary of every force acted upon the objects which you are studyin and express them in your system of coordinates

[prisma laurel]

This is interesting. I'll give this a go. I have a feeling some data is missing or that some things are very arbitrary. Was there any other info given?

[heady tendon]

For your problem, i would use the initial position of one of the dragonflies as origin of my coordinate system, and construct it such that the initial position of the other dragonfly can be expressed using a single space variable

[ruby tinsel]

Nope.. That was all the given information

[heady tendon]

(you align one of the axis along the two dragonflies if i'm not clear)

[ruby tinsel]

Sorry, I don’t really understand... Does that mean to use one of their initial position as the origin and the other anywhere? Or to construct in 2D plane?

[heady tendon]

it's okay,
yes use one of their initials positions as (0,0,0) and then construct the 3d space such that the position of the second is (a,0,0)

Your problem seems to lack a lot of information, and when it is the case in physics, generally you have to make simplifying assumptions, the problem might not be solvable if you don't !

[ruby tinsel]

That will be really convenient which I want the case to be! I will double check with my teacher as I know this investigation is probably wanting more from me...

[ruby tinsel]

Right, thank you for your help!

[heady tendon]

no problem

[valid harbor]

WE need help

Tutor Room 2

[cunning drum]

hello what's this about?

[viral sail]

in Engineering

[viral sail]

Petagor Rules in Engineering

How do I look for a power number 2 in a straight denominant in Betancourt Theory How do I look for a power number 2 in a straight denominant in Betancourt Theory

[prisma laurel]

Do you mean Pythogoras theorem?

[viral sail]

Standard relations in the triangle depending on Petagor's theory

[subtle charm]

[pulsar dove]

Yeah. The course I will have to take covers ODE's and methods for solving linear ODE's

[somber echo]

fun

[pulsar dove]

Lots of fun. I am looking forward to the course simply out of curiosity. However, I am aware it can be quite challenging to fully comprehend and gain a mastery of.

[somber echo]

yes ode's are very useful in modelling systems

[pulsar dove]

So I have learned! In one of my current courses (for my old major) I have dealt with a Partial Diff eq for Heat Transfer. Quite interesting

[cunning drum]

Recall that the determinant of a matrix A that is obtained by adding a multiple of a column/row of another matrix B is equal to the determinant of B

You can get the second matrix by adding the negative of the second column of the first matrix to the last column. Therefore, they have the same determinant.

[ruby moon]

alt + f4 useful xd

[fathom nexus]

Hi, I have an exercise and I can't find how to do it, if someone can help me, I would be very thankful

Let p be a natural number. We denote by Ep = Rp [X] the space of polynomials with real coecients of degree
less than or equal to p, which we identify with the space of associated polynomial functions; we notice
F = (f0, f1,..., Fp) the canonical basis of Ep.
Let L be the map which, to any polynomial P of Ep, associates the function L (P) denied by

For every integer i ∈ [0, p], we denote by Fi = L (fi).
a) Prove that for any integer 0 ≤ i ≤ p and any x real, we have :

[frigid violet]

Hey, I would like some help with this question. If you would be able to help me, I would be very appreciative!

[spice breach]

teb is 60

ted

@frigid violet

[faint mesa]

Can anybody help me with surface integrals?

[civic totem]

@left knoll

especially see 4

a reference example

[frigid violet]

Are you sure? Because I got 30. Can you please explain to me?

[left knoll]

Could you explain how you got that? I get questions like this often and I never know how to solve it lol

[civic totem]

if ted were 60 then rosie would be 12 so when ted is 12 rosie wouldn't been born

I think ted is not 60 :D

[mental dragon]

For this problem, your goal is to get two equations with two unknowns that you can solve for. there are probably a few ways to set that up, but here's what I did

let's say:
rosie's current age = r
the difference between rosie's age and ted's = d
therefore ted's current age is r + d

"ted is 5 times rosie's age when ted was rosie's age" translates to
r + d = 5*(r - d)
"when rosie is ted's age, the sum of their ages will be 72" translates to
(r + d) + (r + d + d) = 72

then solve this system of equations and you should get r + d = 30 (ted's age)

[left knoll]

I just can't

[subtle charm]

How do you people stay motivated always..can you please suggest me something

[gentle heron]

Sorry I'm late @left knoll

[left knoll]

your not late, THANK YOU

I was struggling with this for so long I just gave up

[cunning drum]

I think this is better asked in the general chat.

But to answer your question, assuming this is about math, for me, I tell myself that I am a math major and I want to become successful in this field. I can only do that if I keep on doing math.

[dusty dagger]

R1 -> R1 [No change here]
R2 -> R2 - a

And the third row became :
Consider R2 => 0 b-a c-a
[R3]Now it becomes=> 0*a b(b-a) c(c-a)
Hence, R3 became => 0 b^2-ab c^2-ca

This is due to the laplace theorem. Read it long time ago.
I tried my best to explain this. :/

[faint harbor]

have anyone here studied about conic section?

[slim hazel]

took it in highschool but idk if remember much

[molten crystal]

any help?

[short rover]

Can someone help me with work time concept

I have this in question in my book but I don't understand the concept :

Q : 2 women and 5 men can together finish a work in 4 days, while 3 women and 6 men can finish it in 3 days.
Find the time taken by 1 women alone to finish the work, and also that taken by 1 man alone.

[molten crystal]

u can translate it to eq between X nd Y

[short rover]

How do we find work

Is it a quantity?

[molten crystal]

its not that work

just we can define X as women and Y as men so
2women = 2x
5 men = 5y
the first eq :

2x+5y=4

nd the sec eq :

3x + 6y = 3

now u have two eq with two variables

[short rover]

What do X and Y represent

[molten crystal]

wat grade does this problem came from

[short rover]

10th 😫

[molten crystal]

oh

ok cool

look

did u take equations

[short rover]

Yes

[molten crystal]

ok X nd Y represent the equation variables

my English not that good so its hard to explain

[lilac wyvern]

X = women y= men

So when u have the first equation of 2 woman and 5 men u get

2x + 5y = 4

[short rover]

Yes

[lilac wyvern]

4 is the amount of days

The second equation includes 3 women and 6 men

So 3x + 6y = 3

Now u have 2 equations

U can multiply the first by 1.5 and substract it from the other equation

That way only y remains

When u have y u can calculate x

[short rover]

I got y=2 and x= -3

[lilac wyvern]

Ye i got the same

Kinda weird that x = -3

[molten crystal]

+1

the thing is when u got y=2
its mean that the 1 man can finish the work within 2 days
so when u got x=-3
that is mean that 1 women can finish the work in -3 days
so it doesn't make any sense
u should talk to ur teacher i think there is a mistake in the numbers in the problem

[lilac wyvern]

Ye

And if 1 men can do it in 2 days why can 5 men and 2 women do it in 4 days

Doesnt make sense

[molten crystal]

LOL

[lilac wyvern]

So more people = more days to finish

And women are next level human beings who can finish it in -3 days

Finished before starting pog

[molten crystal]

backwards

[tawny bay]

You getting less productivity while increasing work factors

[molten crystal]

wat if they got enough salary

[tawny bay]

law of negative marginal productivity 🙂

[tawny bay]

idk

[severe mantle]

I found this in my old notes. It's incorrect right?

[upper briar]

i know its a lil late but equation should be like this: 1 women can do 1/x of a job. and 1 man can do 1/y of a job. considering the given info 4days*(1*2women/x +. 1.*5man/y)=1. and if you do the other equation is 3(3/x +6/y)=1. This 1 refers a complete job. try this maybe you can get a proper result.

[tawny bay]

yes it's incorrect. answer is 2A²+2B²

[severe mantle]

Thanks!

[woven orchid]

Can someone help me? Prove that sin45=cos45=√2/2 by using this figure:

[sharp ferry]

Angle ABC=angle BCA=45°

Since sides are equal

Then

AB=cos ABC=cos45

[severe mantle]

Found the correction woohoo

[sharp ferry]

Similarly BC=SinABC=sin45
now AB=BC
which means cos45=sin45

[gentle heron]

u dont need to prove it :)))\

[sharp ferry]

Now using Pythagorean theorem AB²+AC²=BC²
2=BC²
BC=√2

[slate dune]

Do SOH CAH TOA to find cos(45), 45 is pretty much given since the lengths of the sides are the same and then all you need to do is 180-90(right angle) which leaves u with 90 you then divide that by 2 to get 45 degrees,

[woven orchid]

i used the pythagoras to find BC withc is √2

[slate dune]

You should get Cos(45) = 1/√2 after that just rationalize to get 2/√2

[sharp ferry]

Yea then you get 1/√2

[slate dune]

wait wrong way

√2/2

mb

[sharp ferry]

√2/2

[sharp ferry]

Yea

[woven orchid]

yeah i got sin45 = 1/√2 and cos45 1/√2

[slate dune]

yes then rationalise to match it with √2/2

[woven orchid]

ok thanks

[spice breach]

so x + y = 72
Tod = x
Rosie = y

x = 5y

Sub x with y

5y + y = 72
6y = 72
y = 12
Rosie is 12

Find Tods Age
x = 5y
x = 5(12)
x = 60
Therefore tod is 60

@left knoll for u as well ^

[unreal lion]

Any resources for numpy Studying?

Data science related...

[fast skiff]

Is there somebody that can help me with these 2 exercises? It should be used Lebesgue dominated convergence

[valid comet]

well.

i dont have anything soz

[gentle heron]

I'm in highschool and want to study Data science in uni , any recommendation on what to presearch ? @unreal lion

[unreal lion]

that's what I want to ask @gentle heron XD

Python Data Science Handbook by Jake VanderPlas is a good one

[rancid citrus]

Can anyone check it ? . I am getting 2(a^2)/3

[unreal lion]

but I need some intermediate level resources.... and this book does not provide with it

[gentle heron]

should i learn Python or C ?

[unreal lion]

python only

go watch online tutorials

freecode camp is a good one

[worn lava]

the ans is ten (and i keep getting 5) soz for being annoyin but can anyone help me understand how to get 10

[fringe geyser]

Hey, i need a bit help with computational graph, need to find dz/d(c2)

@gentle heron There is a free app on Google Play/App store. It is called "Enki". There is a few courses related to math, programming, git, databases, e.t.c. these also includes a few courses of data analytics and data analysis on python which gives you nothing, but basics of data science.

[random flame]

Eyo I need help with Q8 part c, idk why but I got infinity •_•”
Ping me if you do help, thankiew!

[proud loom]

Can you guys help me out with maths
We were told to evaluate these questions:

[random flame]

Which question?

Maybe I can help I can’t guarantee if it’s correct -w-“

[dapper sun]

can sb help me with vectors.Three forces are acting on an object.
F1: 25 N Right 35 degree Up, F2: 30 N Right 20 degree Down, F3: 40 N Left 15 degree Up. Resolve each force into component form. Provide diagrams with your solution.

[gentle heron]

@random flame i got u

[random flame]

Ayy thanks bro

[fringe geyser]

@random flame

[gentle heron]

@fringe geyser same

[fringe geyser]

w8

lol

[random flame]

Oh my thanks guys 👀

Ima see if I can understand your workings HAHA

[fringe geyser]

my handwriting ))

[gentle heron]

get used to it :))

[dapper sun]

sb help ~~

[random flame]

@fringe geyser @gentle heron Yo y’all thanks so much

I got another question-

WHEEZE

[gentle heron]

bring it on :))

[random flame]

Q9c

AHAHA THANKS MAN

I got infinity for that too -w-

[fringe geyser]

1/2*ln(2)

how do you get infinity in these?

[random flame]

ln 0?

[left surge]

is it not a quadratic in terms of e^x

[random flame]

Okay tbh idk man HAHA

[gentle heron]

e^x not = 0 so u can divide it

[random flame]

Ignore the right part but this is what I did

[random flame]

Ah kk lemme see

[random flame]

I- damn- o-o

Thanks-

Wait hol’ up I dun understand the first line

[fringe geyser]

e^-x = 1/(e^x)

[random flame]

Ohh okie

[fringe geyser]

we took out the power of -1

[random flame]

Wait where did you get e^-x tho

[fringe geyser]

hol up

[gentle heron]

wait He ask for Q9c

[fringe geyser]

i did the wrong question

[left surge]

i got the answer as x = ln 4

[random flame]

WHEEZE

[random flame]

PAHAHA ISSOKAY MAN

[gentle heron]

Yooooo

[fringe geyser]

as always

[random flame]

Fyi I’m a she, just saying I’m not offended, I just laugh when ppl refer me as a guy XDD

[left surge]

if you solve it as a quadratic in terms of e^x, you get e^x = 0, and e^x - 4

from there is straight forward

[random flame]

Hmm

[gentle heron]

e^x Cant =0

[fringe geyser]

i got the answer 2*ln(2)

[left surge]

yeah so there is only one solution

[random flame]

Wait ah lemme check the ans at the back

Yea the ans is that

But can’t get it still

[left surge]

which one sorry

[random flame]

It’s Q9c thingy

[random flame]

Outrun’s ans is correct ady

[random flame]

Ohh so you factorised it at the second line?

[fringe geyser]

yep

[gentle heron]

@fringe geyser

Alien isnt the right ans :))))

[fringe geyser]

)))

human , machine

[random flame]

yo for this right ln 4 = 2 ln 2?

Sry typo

[left surge]

im an idiot 2ln2 and ln4 are the same thign

[random flame]

Ohhh okie okie thks man

[fringe geyser]

))

that is what math is all about

[random flame]

I got Q9e and part f wrong too ->-

Sry if I’m just crowding this channel I’m just desperate -^-“

[gentle heron]

U can use your caculator :)