math-help

[naive dew]

I'm kinda busy in other things, not really getting time for math

[lethal slate]

Does anyone have a good tutorial for SPSS basics?

[north gust]

hey guys what is the area and volume of this

[vast rune]

😞😞

Good luck for the mains tho

[ashen pine]

What are lesbesgue inegrals?

Ping me when replying

[naive dew]

I'm prepping for ssb rn

[left knoll]

solve it as if its 2 pieces of rectangular prisms

[vast rune]

Ou shi

Good luck for that too

😭

[ashen pine]

Is it possible to calculate definite integral of 0 to pi of sinx dx using Riemann Summation method??

[keen walrus]

Can someone help me with this problem?

[weak sentinel]

What’s the domain and range?

[fast heath]

any tips for studying math?

currently I just have a formula sheet and a bunch of problems without answer I try to solve them, then ask chatgpt for the answer to check myself. But this feels kinda silly cause I don't ever really know whether I'm right cause chatgpt can hallucinate any tips on what I should do?:D

[fast heath]

uh, Im not 100% sure what domain and range are since I learnt this topic in a different language but id assume the domain is [-5;-1) (0;2] and range is (-3;5] if that helps

[raw bridge]

Find problems on the stuff you’re studying online that already have answer sheets you haven’t seen, even better if they show the math so you can check your steps

[fast heath]

im kinda clueless on what the proper way to solve this is but since noone helped Ill try my best, I'm pretty sure the max is p=5 and q=5, the minimum is p=10 q=0 then just place those into the given (p^2*q^2)/100, subtract one from the other and you have your answer

p+q have to equal 10
so any two numbers which do so work
10+0=10, 5+5=10
5^2*5^2 = 625, 10^2*0^2=0 that is the maximum and the minimum
(625-0)/100 = 25/4

[fast heath]

the one thing I struggle with when trying to do that is that im learning in lithuanian while the problem sheets online are in english so its kinda hard for me to match up what I know even if I understand english perfectly well:D

[raw bridge]

I assume from your phrasing, Lithuanian equivalents of such don’t exist? Better to ask your professor for resources, answer sheets, or get a language translator as an extension on your browser, maybe even find videos online in that language. Unfortunately whatever study tips or schedules you do garner will be unrelated to the actual material especially for something as inflexible as math. Where results will always need a solid foundation

[devout portal]

Can anyone show me how a line is parallel to both VP and HP in a visual representation

[cedar star]

can any one help me with this one?

lim𝑛→∞ (
𝑛
1
2 +
𝑛
2
2 +
𝑛
3
2 + ⋯ +
𝑛
𝑛
2
)

srry

[green kiln]

1/2

[mystic thunder]

how do j solve these crazy equations

without calculating allat ncr and multiplication

can't use calculator

[deep edge]

hey guys I have a question

A block of wood 4 cm x 4 cm x 0.5 meter long is thrown on the water. The question is what position the
wood would be. Is it in the upright position (vertical) or Horizontal position. Explain your answer.

Do i still need to compute this to determine if it will float horizontally or vertically?

This is under bouyancy

[celest hatch]

You can write it as
(1+2+3 ….. + n )/n^2
now the formula of 1+2+3….+n = n(n+1)/2
hope it helps

[potent oriole]

Plz help ( just to be clear at the lther of part of the equation it's x² not everything ²

[prime steppe]

can someone give me tips for math proves i feel so overwhelmed and i dont seem to grasp it. I was so good in analysis in highschool and aced basically every exam without studying much but now im just struggling because... well i dont even know why i grasp the topics but when trying to prove its never the same idea as in the correction sheet. of course when i have to do suprema proves or something i get it that i have to start with epsilon ideas but then i always get stuck or lost and do something thats not allowed

[dry merlin]

is someone good here at Complex Analysis

[plain idol]

Yes, to some extent I can help.

[potent oriole]

Merciii

[swift ether]

can someone pls help to solve this?

[long terrace]

I am

[proven vapor]

yo guys

could anyone help me with c please, my goal is to do it without the definition

so i got the derivative signal for v(t) which gives the derivative of x(t)

or x3(t)

but do i then jsut integrate the dx3(t)/dt signal to get back to x3(t)

[left knoll]

how tf do i even start???

[rigid mist]

does anyone have any good recommendations for discrete math books which focus on writing proofs

which can also include exercises ofc

[median harbor]

Can anybody please help, how to go about with these questions

[tidal dawn]

anyone know and is able to teach me differential calculus

got a midterm in 2 days and im struggling

[ripe coyote]

Can someone help me with this please

And this too please

[steel fjord]

Can someone give me a roadmap or some links through which I can learn linear algebra and calculus from scratch.

[heavy blaze]

i need help guys

can anyone solve this limit?

[left knoll]

0

use taylor expansion and then substitute the terms

[heavy blaze]

how??

[left knoll]

the limit is x -> infinity right?

[heavy blaze]

yeah

positive infinity

[left knoll]

i did it in short and in rough

wait il put the pic in chatgpt

and send u a detailed answer

@heavy blaze

[heavy blaze]

we cannot solve it without using the taylor expansion?

@left knoll

[left knoll]

i think you can but its incredibly lengthy

this is why taylors expansion was made in the first place

[heavy blaze]

u know how

cuz we didn’t study it yet

[left knoll]

cuz i studied it at uni

oh

[heavy blaze]

ahh alright

[left knoll]

idk then

maybe look up tutorial on yt

[heavy blaze]

i have looked

[left knoll]

how did you make your name upside down

[heavy blaze]

nd I didn’t find any answer

[heavy blaze]

I’m sending u a website

[left knoll]

alr

[long terrace]

I would recommend you Miguel de Guzmán's 'How to speak, prove and solve in mathematics' (Original 'Cómo hablar, demostrar y resolver en Matemáticas')

[left knoll]

Wait wrong pic

Is this value equal? Or two different things

cuz I tried a different approach on differentation

Photomath says the other solution while I got the other solution

I asked chatgpt it says its equal I just need a second opinion

[warped jasper]

They are equal I’m pretty sure

[left knoll]

yeah they're equal

[warped jasper]

If u substituted values into the numerator for x you would see the answer would be the same each time

[flat gulch]

Help please

[mystic thunder]

do u know what the answer is

[warped jasper]

Nah questions have mark schemes. When u don’t understand how the answer is what it is u ask for help on how to get it right. So he may already known the answer

[flat gulch]

Yes bro thanks 👍

[flat gulch]

No bro i didn't know the answer

[warped jasper]

Yh that wasn’t the point but Alr

[mystic thunder]

the final answer bro

[flat gulch]

No bro i don't now

[mystic thunder]

it's ok bro dw 👍

[dry merlin]

can you please share some resourses if you have any ! thank you

[long terrace]

I can recommend resources to you

I can't share intelectual material with copyright withouh consent

Obviously

I would recommend you the following readings:
-Rudin, Real and complex analysis, 3rd ed, 1987.
-Vera Botí, Variable Compleja, problemas y complementos (Complex Variable, problems and complements), Royal Spanish Mathematical Society Editions, 2013.
-Rao, Stetkaer. Complex analysis, an invitation, 1991.

Rudin's book is a classic for every math major in the world. It is famous for the elegant shortness of its proofs.
Vera Botí 's book is a wonderful 500 pages long collection of fully solved exercises throughout the main topics of every Curriculum in Complex Analysis for math majors.
Rao and Stetkaer's is a perfect invitation to many other topics with different approaches to those of Rudin's.

[long terrace]

.

[dry merlin]

hey there , thank you so much for replying , i really Appreciate your efforts ! ill definetly go through it

[faint helm]

anyone know how to solve this one

[pseudo flare]

probably a bit of a simple question, but cant figure out how b can be a prime number..

[cedar storm]

sqrt(50)=sqrt(25*2) = 5sqrt(2)

2 is a prime number and 5 is an integer

[pseudo flare]

oh shoot never wouldve realised that tysm

[warped jasper]

Omg that was in my end of year exam last year.

[pseudo flare]

sheesh im guessing your a level now then

[warped jasper]

Nope still at GCSE

[keen walrus]

Can someone help me on this problem?

[heavy blaze]

I didn’t get the issue

@keen walrus

does any of you have exercises about exponential functions?

@everyone

[quasi warren]

Can anyone help me out with PDEs?

Or Probability and Random Processes

[heavy blaze]

Go ahead

[quasi warren]

We have random processes, and their type and it feels pretty vague. Like i can think about it for some time, but then when I am on next topic it feel like I have retained nothing. We have not been provided with any solidifying numericals either.

[heavy blaze]

do u have such an example??

[deft apex]

Is the Regular Expression of this NFA: a*b**a?
How do I prove using Arden's Theorem?

[keen walrus]

Can someone help me with this problem?

[warped jasper]

Got my final maths exam which will affect what college I go to today. Pray for me pls

[warped jasper]

I just did the exam. I actually cooked a masterpiece. Predicting a 100%

[rough mist]

Genuinely locked in

[modest tusk]

hey does anyone know of any programs or really anything to do with college algebra? I’ve been doing ok-ish but kinda suck ass. Anything helps

[keen walrus]

Hey guys can someone help me on this problem please?

[stark onyx]

do you know the integration for sqrt(a^2-x^2)dx

you just have to use that here a = 2 and let u = x+1

then apply u-substitution

[stark onyx]

if you dont then try applying inegration by parts for this for a2-x2 and 1

[keen walrus]

Ohhh

awesome thanks!

[frosty tinsel]

If anyone can help that would be great ty

[stark onyx]

did you find the values for g(1),g'(1),g''(1) use t_4?

[stark onyx]

this a general expression for it

i think thats all you have to do

[edgy orbit]

GUYS I spent 2 days on this damn question. I'm blocked at ii).

If someone is in masters, or knows perron frobenius theorems, then he should be able to do that.

Thats the book:
https://ucsb.app.box.com/v/LecturesNetworkSystemsSildes

[frigid ingot]

It can be solved using progression and series concepts also but I want the Permutation and Combination based approch... helpp plss

[stark onyx]

a number is divisble by 3 if sum of digits are divisible by 3 you find all such combinations a number is divisble by 11 if the sum of odd digits - sum of even digits you find all such combinations and then subtract their union

[frigid ingot]

I appreciate your help but I know this part... but the problem is I can't think of anything any further

[stark onyx]

well whats left after that though?

like is your answer not matching?

[frigid ingot]

no, it is supposed to solved using permutation and combinations

and I am not that good at it

[stark onyx]

thats brutal there are so many possible combinations tho

but i can tell you the procedure ig

when you find all the combinations find the total ways they can be rearranged for eg (1,0,5,3)

this can be done in 3x3x2x1 ways

and (1,2,2,4) can be done in 4!/2 ways

similarly (1,1,1,3) can be done in 4!/3! ways ie 4 ways

you have to do this for every such combination

[frigid ingot]

i guess i'm cooked

[muted vortex]

Hey guys, so I have a straightforward question. What are the major steps in Simplifying Exponential Expressions? So like every time I am trying to solve an expression with exponents like 2-4 terms in the numerator and 2-3 terms in the denominator. I always mess up with these kind of questions. So like my question is what should I always solve first? Such as negative exponents and bases that can be further simplified. Any help is appreciated.
Thanks! (I tried my best to explain it in the simplest form)

[keen walrus]

can someone help me on this problem?

[stark onyx]

you can either use leibniz rule or in this case simply evaluate the integral and differentiate it however that might not always work so prefer use leibniz rule

[woven reef]

Huh ?? Is the answer key in any way correct

[candid rivet]

I think you are right, it is 2/36 so 1/18

[keen walrus]

Can someone help me on this problem?

[peak mauve]

sure

still awake?

anti derivative is the reverse integral so you need to find F'(x) to get f(x)

then plug it in and integrate

[keen walrus]

sorry I went to sleep

[faint trail]

can someone help me with this? "Panjang OP" Basically means OP length

I dont know how to answer the question since they didnt provide information for DO or OA

[viral smelt]

the answer is 18 ?

[faint trail]

Do you have any formula or sum that i can use to answer other question that's similiar to this one?

[quiet nebula]

Triangle DOM and Triangle DAB are similar triangle.
When triangles are similar the ratio of their corresponding sides is the same so,
DO/DA = OM/AB = DM/DB

So from OM/AB = DM/DB
we can write
x/24= 3/9 ---> x/24 = 1/3
x = OM = 8
And OP = 2OM
thus OP = 16

[viral smelt]

Unfortunately, I don’t have

[left knoll]

Can someone do my homework pleaseeeee ?

I dont have time

I pay

[faint trail]

Thankyou my guy omg 🔥🔥🔥

[stable wigeon]

Can someone help me with solving rational equations for values of x im lost ash and i have an exam tomorrow 🙏

[quiet nebula]

3n-1/5n-1 is this the answer?

[remote pendant]

no

[austere kiln]

[left knoll]

Please do it

[austere kiln]

How much do you pay to first one page

🗿

[left knoll]

How much you want ?

[austere kiln]

40 euros?

🥸

[left knoll]

On m’a proposé 55 pour tout le devoir

[austere kiln]

🥸

its a lot

of excercices

take de 55 of that guy

[rose dune]

Instead of paying someone to do your homework hire a tutor lil bro

Within that hour you'll get knowledge that will stick with you

[left knoll]

Can you become my tutor ?

[rose dune]

What level of math are you doing

Idk your syllabus but math is math

[left knoll]

Im un fourth years after baccalaureay

Master 1 in math

[rose dune]

I'm not sure what that is

So you're 4th years uni?

Idk man I'm the wrong guy to ask

Idk what it's called in France but I'm in my final year before uni

Terminale?

[left knoll]

Okayy np

[left knoll]

Yesss

[rose dune]

That's your grade?

[candid rivet]

he's 4 years after high school

[rose dune]

He could just say he's in uni

[rain solstice]

to all tunisans and/or algerians

do you have some resources for bac for science math

not sc exp

because all i can find is sc exp

for math

[devout portal]

How do i find the angle of intersection of these 2 curves ( r )

This is my answer

[limpid scaffold]

@mighty scarab
look imagine u have structure like this, 2n vertices and each's degree is it's row's number like v1 has 1 degree, v2 has 2 degrees

and u know for this degrees are 1,1,2,2,3,3,...,n,n now u gotta prove for 2n+2 vertices have 1,1,2,2,3,3,...n,n,n+1,n+1 degrees

[lapis furnace]

doing this Q on matrices, and i got this answer for the determinant, but the solution's different. any clue where i went wrong?

[odd skiff]

Is this for university ?

[echo jungle]

I assume you divide b - a to get an 1 in the second row. But you can’t divide by zero, so to be correct you have to state that b does not equal a. I think you have the same answer further?

Like row operations can be done in multiple ways

[lapis furnace]

yes, but it’s maths on a chemistry course so it’s slightly easier. why?

[lapis furnace]

what do you mean?

[echo jungle]

You divide this right?

If you divide this you have to be sure you are not dividing by zero

and this is only the case when b does not equal a and also c does not equal a

oh i know why you have a different determinant.

Look up determinant properties on google and then you see when you divide something or multiple a row what happens with the determinant

[digital current]

study like granger ( tw tl9a documents t3 bac maths )

https://amenibendriss.wixsite.com/studylikegranger?fbclid=IwZXh0bgNhZW0CMTAAAR0iDFVDtxyQZzAH9x6xInV_5oOxnST-pQqJRPobgVpyifQdECMUn3m3WpE_aem_OVZKRjC15t86d1LzkFJ0PA

[glad sedge]

You just took out 2 required conditions out of the determinant and got only one, you're not wrong it's wrong interpretation ig

Try keeping the common row factor outside the simplified matrix then find the determinant and multiply by that

There's a rule that for determinant it is fine to take out common factors from both row and column but for matrix in general common factor can be taken out from all elements only

[rain solstice]

thanks (i like bread)

[devout portal]

Can anyone solve 2 and 3a for me asap

[rain solstice]

are you in hs?

zaaamn

that's some college level math

[devout portal]

No im in 1st year college

If u cud pls solve the 2nd one it wud be of great help

I found 3a but not the 2nd one

[left knoll]

@devout portal first find logu

[devout portal]

Done

Found it

[left knoll]

okay

sorry . for being late

[devout portal]

Is this right for log u value?

If yes z wt do i do after this

[left knoll]

okay , this is good

now follow this procedure

for LHS

[devout portal]

Alr

[left knoll]

u get me ?

[devout portal]

This is completely the same?

[left knoll]

( no one : me tryna solve uni maths in 12th grade )

[left knoll]

naah , but this procedure is same

[devout portal]

Lolol thats amazing

[left knoll]

not really , coz Euler's formula is not in my syllabus

[devout portal]

What am i even substituting here

[devout portal]

Exactly so that's amazing

That u already know how to solve this

[left knoll]

well for the given value of u , u get a funcn and for that fucn u let this

[left knoll]

with a variable t

[left knoll]

😭

[devout portal]

Im gonna give up right here.

[left knoll]

?

[devout portal]

I don't get that part

[left knoll]

u want full soln ?

[devout portal]

So im just gonna figure it out later

But tysm

[left knoll]

better option

[devout portal]

Sure

[left knoll]

wait

hey

listen

[devout portal]

Yea

[left knoll]

Find the partial derivatives of u with respect to x and y:

okay ?

[devout portal]

Oooh okay

[left knoll]

then

Now, compute x
∂x
∂u
​
+y
∂y
∂u
​
:

then take log u

[devout portal]

Oooh look

[left knoll]

and then substitue log u

[devout portal]

Is this wt ur talking abt

Step 2

.

[left knoll]

well , i guess

yes exactly

[devout portal]

Alright alright

Tysmm

[left knoll]

yes yes

[devout portal]

Now i can figure it out

[left knoll]

u asked chatgpt ?

[devout portal]

Nah google

[left knoll]

i see

where r u from ?

[devout portal]

India

[left knoll]

which colg

[devout portal]

Ehh i dont wanna get doxxed

[left knoll]

i see

[left knoll]

i am from india too

[elfin marlin]

can someone explain to me the horizontal asymptotes for this function?

[lapis furnace]

thank you that helps a lot :))

[glad sedge]

Isn't one y=0 since function can never get 0 value?

But can only approach it

[candid rivet]

you want to see if there exist a and b such that f(x) - (ax+b) has a limit of 0 for x going to + or - infinity.

Here, for x -> +infinity, f(x) - (ax+b) -> +infinity for any a and b possible. So no horizontal asymptot at +infinity.

And for x -> -infinity, notice that f(x) - (0x+0) -> 0 so y=0x+0=0 is an horizontal asymptot

[glad sedge]

In -ve infinity it is there

[candid rivet]

yeah i just sent my message too quickly lol

[glad sedge]

Np

[glad sedge]

Yours seems like a more refined approach I just judged it on the basis of e^x never becoming 0 so obv y=0

[candid rivet]

Yeah you are right, just for once i was able to answer a question so i did

[true drum]

Hi can anyone help me with this question which is solved in chegg.
https://www.chegg.com/homework-help/questions-and-answers/1-architectures-considering-one-two-changes-processor-first-increase-clock-speed-3ghz-45gh-q216296103
I would be really thankful

[left knoll]

calc 3 final this friday...

vector calc is kind of overwhelming me rn. there are so many forms of line integrals, sometimes you can solve problems with stokes/divergence theorem other times you can just evaluate the line integral directly—it feels like a big mess of information and i'm having trouble organizing it into meaningful structures

[true drum]

practicing it makes it not that hard

just write it in a copy 1-2 times and you will get the hang of it

[left knoll]

okay i'll work through a bunch of examples thanks

[elfin marlin]

yes, y=0 should come out at negative infinity, and at positive infinity it should come out positive infinity and I don't quite understand how, because I get an indefinite symbol

[candid rivet]

you have to use the fact that the limit of e^x/x^n when x -> +inf is +infinity. Sorry if it does not answer your question my english is not good

[left knoll]

i need help im gonna crash out s oon

[keen walrus]

Can someone help me with this problem?

[inland birch]

Hi everyone, I am practicing for calculus exam and the following problem needs to be solved using complex analysis. Any help would be great!

[stark onyx]

integrate velocity equation to get equation for displacement in terms of t then substitute for t=3 and thats your answer

[left knoll]

it's all clicking together it's actually really beautiful

i can't believe it all boils down to the fundamental theorem of calculus

[silk abyss]

Could anyone help me with a really quick series question, using the geometric series sum equation

Its for the series
n=1 to infinity of (5^(1-n) * 2^(2n))

[remote widget]

Can someone help me with this?
I'd really appreciate it

[candid rivet]

the general term = 5**5^(-n) 4^n = 5 (4/5)^n and then you can use the geometric series sum since 4/5 is between -1 and 1

this gives 25 if 'im not wrong

[jovial raft]

Can someone explain how to solve this? (statics)

[thin radish]

Hello everyone, I have somewhat of a project due soon and I've never dealt with having to write mathematical notation in any documentation, could anybody please recommend the easiest method to write a mathematical document, considering that I don't really have time to learn something like LaTeX ?

[grim palm]

latex is honestly quite easy to learn so i would suggest you just bite the bullet and do it now. otherwise i would highly recommend using Obsidian which is a markdown editor and supports latex. its very easy to use

use single dollar signs $ ... $ for inline equations, or double dollar signs $$ ... $$ for display-style equations

e.g:

[left knoll]

docs and word have support for math notation, but as mentioned above learning some LaTeX would very likely be the most time efficient

this is kind of the standard editor https://www.overleaf.com/

main package you may need is amsmath

[thin radish]

Yeah I guess I'd have to learn LaTeX anyway so I'll look into it, thanks !

[thin radish]

I started using it since it seems simple enough for the kind of writing I have to do, thank you !

[lunar zephyr]

hi guys I think i might have been cooked....

help....

what is this...

[candid rivet]

without context its hard to understand but the calculation are right

[lunar zephyr]

İf i drop the context, is it possible that you might explain the steps

Hes integralling the function with E İ (elasticity factor and intertia)

This is the as much as i know what happens here

İll drop the full question in a few

[candid rivet]

sorry it's out of my skils haha. But you could also post this in "science-help" i think it would make more sense

[lunar zephyr]

totally fine, thank you for your time

[mystic thunder]

Help

I put y= 0 and got x= 3m+2/m²-5m which should be greater than 0. Then I put numerator and denominator both > 0 and then both < 0

And i got like 4 conditions but idk how to deal w it

[mighty scarab]

What is the answer?

[mystic thunder]

I don't have the answer bro

Sir ne mann se banake dediya 😔

[ancient hatch]

I'm looking for the mathematical answer to the question of how knn algorithm works with more than two features, does anyone know where I can find it?

[mighty scarab]

m>5

[mighty scarab]

I got this

[mystic thunder]

Yeah thanks i got stuck on last wala step

[lunar zephyr]

is it the best way to calculate these type of questions?
because there is also other methods such as Energy method or mass reduction one

I don't know if they are included in the specific engineering field which is the book about or it is the mathematical methods

I need to start over lol

Thank you Toony 🙏

[snow eagle]

I need help

[frozen saffron]

sorry for the late response

answer is false

this is u sub for integrals

sub in u for 10-x^2 on the bottom

take du/dx to change what variable youre taking the integral with respect to

du=-2x dx

dx= du/-2x

and sub in

-2x would cancel out

so it would be positive instead of negative integral

also the bounds change when you sub in the previous integrals bounds into the equation you u-subbed for

so just plug in -2 and 0 to 10-x^2 for the new bounds of the integral with respect to u

[thorn portal]

hi guys, can someone help me with this question

[next shale]

Can anyone help with this ?

The question basicalls says to simplify it

[leaden token]

use this

[modern lotus]

latex suite plugin makes it way easier too

[median harbor]

Will the range of x given have any effect on the question??

[barren oasis]

Yea İ did it but it didnt seem to work

[candid rivet]

if x is in span(w1,...,wm) then its clear that x is in span(v1,...,vm).
If x is in span(v1,...,vm) then you should be able to express each vk with w1,...,wk. Start by writing the first ones:
v1=w1
w2=v1+v2 and v1=w1, so v2= w2 -w1.
This step can be done by induction.
Thus x can be written with only w1,...,wm so x is in span(w1,...,wm).

Another way to do it is to rewrite the m equations with only one matrix equation. You can write that W=AV where W=(w1 w2 ... wm) (a column), V=( v1 v2 ... vm) ( a column) and A with only 1 in the bottom-left triangle. det(A)=1 so A is reversible and you can write V=BW where B is the inverse matrix of A (which you don't have to calculate), which means every vectors v can be written with only wk vectors

Hope it helps and sorry for my english

[candid rivet]

Here I don't know but there are formulas that give really different things depending on if x>1 or x<1 for instance. Yet you can try to calculate the thing quickly before thinking too much on if the range of x will have an impact, since if it will you'll see it. And also probably here the range of x is only here so he expression is well defined

[candid rivet]

you should get 3cos(40)-4cos(40)^3 . And I think we don't know the exact value of cos(40°) so you won't get further. Weird question since it doesn't feel like we have simplified anything...

[barren oasis]

yea weirdly enough the answer is 0.5 to this question idduno why

[candid rivet]

i must be missing something then sorry

[barren oasis]

Nah don't worry about it ill ask the teacher tomorrow thanks for your time

[rain solstice]

ngl those curvy lines with - and + looks weird

instead of the common sign table

[wise wyvern]

Each (v_k = w_k - w_{k-1}) (with (w_0 = 0)), so (v_1, \dots, v_m) are linear combinations of (w_1, \dots, w_m). Similarly, each (w_k = v_1 + \cdots + v_k), so (w_1, \dots, w_m) are linear combinations of (v_1, \dots, v_m). Thus:

[
\boxed{\text{span}(v_1, \dots, v_m) = \text{span}(w_1, \dots, w_m).}
]

[white parrot]

hi guys I missed most of my high school calculus and linear algebra T-T courses... and guess what I am now a an electrical engineering student 😄 so I need to recap the calculus course and train in linear algebra pretty well and make sure that I understand them from A to Z so if anyone has any suggestion for books, specific curriculum or text books and question banks please share it with me.

[signal vortex]

lmao we the same course, i can look around my goodnotes and see what books we used in our prev semesters, ill just tag you here once i find them

[white parrot]

great can't wait thx bro

[signal vortex]

for calculus:
Calculus 8th Edition

• by james stewart

useful book youll use in the next semesters:
Advance engineering mathematics sixth edition

• Dennis G. Zill

i didn't really have a linear algebra class but this book should help

Introduction to Linear Algebra for Science and Engineering (3rd Edition)

• Daniel Norman and Dan Wolczuk

[signal vortex]

there u go

[signal vortex]

help please im so confused

im so confused, the answer feels offs

[upbeat kestrel]

Guys, does anyone have files of difficult math exercises on the topics of functions, logarithms, oxyz, and practical application problems, or min, max, and thinking problems? Can you give me the file link? Thank you very much.

[jaunty canyon]

anyone understand this stuff and can explain me how I get a read on a,b,c and d? I get a and d but the other two not TT. At least I think I get those two.
I'm free tmr again for vc, though if you can explain otherwise so I understand that's also fine. A video that helps is also appreciated.. though all the ones I have watched didn't help even the slightest bit in reading the graph ._.

if you can help just dm me please. Thanks in advance

[rocky moth]

b is frequency

c is the phase shift

[molten grove]

you could find a website where you can fill in the function and change yourself some values to see what changes

[jaunty canyon]

thanks, that helped me figure out a way of my own

[timid delta]

what is this? limits or integration or laplace transformation?

[signal vortex]

it was laplace transformation

[timid delta]

oohk i see

@supple island hey man wassup!

[supple island]

Hi?

[jolly palm]

Can anyone help me out with this question? It's from the Theory of Equations - Quadratic equation.

[austere kiln]

c) 8080

[jolly palm]

Nope mate, the answer is 16000. It could be solved by just expanding the given expression.
I solved it as soon as I sent the question over here.

[austere kiln]

Amm I solved also and the result is 8080

Maybe I’m wrong

[jolly palm]

Maybe mate, try writing the equations once again and putting the values over again.

[mystic thunder]

did u simplify it

[jolly palm]

Yes, just simplify the equation ac(a-c) + ad(a-d) + bc(b-c) + bd(b-d)

You will get the expression :
(c+d)(a^2+b^2)+(d^2+c^2)(-a-b)

We have the values for (a+b) and (c+d), just subsitute them, and you'll get the answer.

[mystic thunder]

so you're not getting the answer?

alr wai

oh mb i didn't see the previous message

nice question

[dense yew]

anyone here knows how to use a Z to infinity chart?

[gritty karma]

does someone know how to compose piecewise functions??

[jolly palm]

Mate, I already got the answer.

[devout sable]

take g(x), plug it into f(x), and check which parts of g(x) fit into f(x)’s domain. Do this for every interval of g(x), then write one combined piecewise function showing how the pieces fit together

[devout sable]

it basically helps you find the area (probability) from a z-score to -ve infinity. Look at the first column for the z-score's first digit and tenths place (eg 0.2), then the top row for the 100ths place (eg 0.02), find where they meet for the probability

[mystic thunder]

sorry I didn't see it was 3 am 😭

[dense yew]

okayyy! thank you soo much

[gritty karma]

by "check which parts of g(x) fit into f(x)’s domain" you mean the parts of the g(x)'s domain? or g(x)'s image?

[devout sable]

I mean the outputs of g(x), check what numbers g(x) gives and see how these align with the domain rules of f(x)

[devout sable]

for example if g(x) outputs even values under 100, u need to check which rules of f(x) apply to this certain range of values

[sterile mango]

Can someone explain how you get the angle between the line of action of the 360N force and the y' axis please

[olive wadi]

Can someone help me with this differentiation modelling question? (A level maths year 1/ AS level maths)

Apologies if my handwriting causes any difficulties

The second word is 'sheet'

[warped jasper]

💀

ur handwriting is soo good

[olive wadi]

Ppl tell me my handwriting is victorian like

Nice to look at, but difficult to interpret

So some struggle with reading it

[quasi bridge]

write the expression for surface area in terms of x and h. from the expression of volume i.e. x²h = 300, express one variable in terms of the other and substitute it in the surface area expression and find the minima

need some help with the question, i've to find whether the following integral converges or diverges

[barren vine]

i wanna go back to learning math, especially to do game engine thing. Any book to recommend ? I have a very basic math skill, and was pretty bad at it at school, but when you apply it to code, i'm pretty good

[median harbor]

pls help

[wraith crow]

@opal mirage

There r so many ryuks wtf

But hey check out the server

[opal mirage]

Woah

[wraith crow]

Bro please

Ppl r srs here

😭

[opal mirage]

Alright this will work

[rocky moth]

0

Planes are same

Lines are parallel they lie on top of each other

[rocky moth]

I dont know alot but since the components are asked along x and y'

[abstract laurel]

I teach Math on YouTube https://youtube.com/@themathwitchf4ever?si=qENHifHejL4Cep_1

I will post more soon. Please share with others and SUBSCRIBE

[still condor]

they are the same plane, just multiplied by 3 on both sides, so the answer would be 0 unit

[still condor]

you need basics of calculus, you can watch the 12 hr vid by freecodecamp, and if youre interested or doubtful about something just search that topic or maybe just ask here
also learning vectors and matrices would be nice too for game engines

I am not in a position to endorse a particular tome, but i believe that Khan Academy would suffice as the main resource for your work

[jolly palm]

Anyone would be down to help me with this question? I'd really appreciate your efforts.

[left knoll]

these are the questions from Math Olympiad...kindly solve it and tell me the correct answer

[timid delta]

b

[left knoll]

got it

[timid delta]

Do you need the remaining ones or u solved it?

[mystic thunder]

need help w the 14th question

[left knoll]

I would appreciate it if you could also provide the answers to the remaining questions as well

[iron carbon]

why is 1 - cz = 0

[vital fable]

Isn't there something in vectors like all the components are individually equal to 0 as well

Or maybe not, haven't really done vectors so well

I think it is

If a vector is equal to zero then all its components would be zero as well

[tawny dew]

Yo I think this would be the correct answer, but I’m not sure if you’re supposed to use a formula or something to solve it

[mystic thunder]

answer is 0,11/7 ;(

thanks for trying doe

[tawny dew]

Dammmmn my bad

[mystic thunder]

isoki

[iron carbon]

thanks

[still condor]

this would be the approach

[mystic thunder]

ohhhh:0 i see, appreciate it!

[left knoll]

guys

what happened here?

[woeful summit]

Guys i need your help

Guys anyone of you got into MIT , Harvard , Yale , Penn , Princeton etc . if so please dm me . i need your help

universities students in world's top university i need your help .

[vital fable]

Cos2A=cos^A-sin^A

Apply that and pythagorean trigonometric identity then you'll get the next step

Or wait

2sin^2 A=1-Cos2A

[vital fable]

It's a direct formula derived from this which is derived from...other something

[left knoll]

Got it, thank you

[keen walrus]

Can someone help me with this?

[timid delta]

Y= 21k-2k*x

(10.5,0) nd (0,21k)

[timid delta]

Its direct formula

Denominator simplify and numerator will cancel out or smth

[glass matrix]

do i just start off by using ln to cancel it off?

just bit confused where to start

[mystic thunder]

why is empty set subset of every set

[vital fable]

check the definition of a subset

[mystic thunder]

bro thas what

ive studied it but ion understand why

[vital fable]

Just check it out and try to fit it w the empty set thing

It'll make sense

a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A

what does empty set contain?

Well, it's empty

so it's a subset of every set since technically all of the elements of the empty set do belong to any other given set

Welp, TIL I'm shitty at explaining

You can check out Eddie woo— I think he'd have explained that in some of his sets videos

[mystic thunder]

oke thanks

[urban island]

@mystic thunder it's also an example of something that's vacuously true; e.g. all unicorns can fly - there are no unicorns so every unicorn can indeed fly. there are no elements of an empty set, so all elements of the empty set are contained in every set

[mystic thunder]

oooo yeah now I got it thanks broski

[rare schooner]

any help with this?

im stuck after taking 1- cos (x^2/2) as common

do I have to use any formulae?

also this:

[urban island]

you can use taylor series!
after pluggin in x^2/2 or x^2/4 into the equation, note that terms of the series with power greater than 8 can be ignored (as they will go to 0)

[rare schooner]

ah yes!!! thankyouu!! you saved a great deal of my time!!

[weak lotus]

Sub dx, use sub method

[visual birch]

Can anyone give me tips with maths i mean i have studied everything 2 months ago but now i forgot everything and now whenever i try to study i feel i already no this

[weak lotus]

Just start with defining when a triangle is isosecles

same for Trapezoid

the rest will follow trivially

[remote ice]

f math

just use calculator

5318008

[queen sleet]

hi, i'm having a problem with proving if this sequence is arithmetical or not

i'm not sure if i did the last part right and if i can count it further or if that's it, would really appreciate help

(sorry if i didn't explain the problem well, i haven't talked about math in english before)

[weak lotus]

before calculting and rewriting terms, first DEFINE when a sequence is an arithmetical sequence

Translate those words into mathematical language

[queen sleet]

tysm<33

[lapis patrol]

does anyone starting math from start - i am wek in maths ?? i need to study it - if someone is good in math and want to teach or do revision then i will be available

[mystic thunder]

what lvl

[opal gull]

hi, does anyone by any chance know this simple math problem?? ;^;

I'm not sure if this equation is correct, plus identifying graph aren't my strongest in this unit...

[weak lotus]

what you can do here is the following:

pick 2 points on the graph that you can be sure of
use the following formula:
y−y1 = y2 - y1 / x2- x 1 (x - x1)

fill in and then you can look depending on the grey area

to see if its < or >

[median harbor]

Help pls

[weary arrow]

we need to see the whole problem

[vital fable]

Think that's the whole problem

[weak lotus]

2 ways to solve

[manic oriole]

Hello everyone! Who knows Test of Hypothesis?

[unborn hamlet]

hi does anyone know how to do this question

[mystic thunder]

n=8?

[blazing gale]

can anyone help me with this

[urban island]

you can make it self referential, i.e. x = sqrt(6 + x) and solve for x

[urban island]

you can make use of binomial coefficient. in general, for (x + 1)^n, the coefficient of x^k is (n choose k). for intuition, suppose you write out all the terms:

(x + 1)(x + 1) ... (x + 1)

each (x + 1) in the product contributes an x or 1 to be multiplied into a summand. so essentially you can think of the coefficient as how many ways you can choose x k times from n terms in the product, which is exactly (n choose k).

[blazing gale]

thankss i got it by squaring both sides then solving for x

[heavy osprey]

Can any one help me with this problem.

[urban island]

give the board a coordinate system. note that moving diagonally preserves the parity of the sum of coordinates. for example, if you're at (x, y) and move upper right, then you're at (x + 1, y + 1) and (x + y) has the same parity as (x + y + 2). then note that B and X have different parities

[urban island]

think about the difference between white squares and black squares on a chess board. then think about why bishops can only stay on their own color

[heavy osprey]

I have got a solution but thanks for replying it is the same as you suggested.

[shut iron]

Is there any method to find it graphically like we do in modulus fn bcoz i have alrdy solved it using int by parts but looking for another way

[sacred marsh]

As far as I know, No that's the only way

[still dust]

yo what software is this

[weak lotus]

good notes on ipad

[still dust]

i see

thanks

[cyan robin]

just watch like rapid revisions nd stuff

@worthy plume u can ask deepseek

idk if its right or not

It's new in the AI thing but almost everyone is saying it's better than chatgpt

[fierce monolith]

How to make ur probability strong as f 💪 class 12th boards, well i aint talking about some easy shit questions like ncert i am talking about pyq and exemplar

[cyan robin]

exemplar questions are hard but pyq questions are not

u just have to practice practice practice and ask the doubts that you have to your teachers nd stuff..

[fierce monolith]

I dont have any teachers

Whole year i was studying for jee so no school

[cyan robin]

then how you gonna give ur 12th boards

only 6 days left

ur boards are from 15th right?

cause we 10th graders will give boards from 15th Feb

[fierce monolith]

I mean JEE ended 22 jan, so from 22 jan i started preparing for boards

[cyan robin]

then ur only good chance is to just watch rapid revisions nd stuff (only if u have some knowledge about the chapters)

if u dont have some knowledge abt the chapters, then idk what to do..

[fierce monolith]

Thanks for the suggestion but i was talking about probability.

[cyan robin]

I thought the probability of getting better marks 😂

that's why

lol

[fierce monolith]

Lol 😭

[cyan robin]

good luck for ur boards nd jee

hope you pass both with the best marks 👍 wine 🗿

[fierce monolith]

Well jee is f up

[cyan robin]

oh

sorry to hear that

[fierce monolith]

And boards

Probably will be f up too

[cyan robin]

still 6 days left

[fierce monolith]

So probability will be 1/2

[cyan robin]

if u study u can get

gud marks

[fierce monolith]

Nah i was solving a question

Probability question

[cyan robin]

ohh

okay

[fierce monolith]

Real life examples you know 🤯😭

Just kidding

[cyan robin]

xD

[fierce monolith]

Veseh

Kitne ghante prta heh tu

@cyan robin

[cyan robin]

around 4

or more..

[fierce monolith]

Bc 10th meh heh bhai aram kr

12th valeh itneh serious ni heh jitna tu heh

[cyan robin]

nah

[fierce monolith]

Mjak kr rha hu

[cyan robin]

have to take it serious

[fierce monolith]

Kahi fail na hoju

[cyan robin]

ikr

[fierce monolith]

Hoji*

Good job

[cyan robin]

tyy

[weak lotus]

it aint mate, it aint....

[cyan robin]

I personally havent tested deepseek till now

but people are just saying it better

[weak lotus]

if you would like your information to be wide spread, go ahead!

[cyan robin]

afterall deepseek's deepthink r1 takes too much time people are saying

[weak lotus]

On the outside it looks good and all, but its shit on the inside

[cyan robin]

that's sarcasm isn't it?

😑

[cyan robin]

I just said I personally didn't test it out

and I don't wanna do it

[weak lotus]

it is not

[cyan robin]

oh okay

I thought u said it in an sarcastic tone

lmaoo

[left knoll]

anybody wanna give an integral i could answer

[fierce monolith]

Do integration of x^2-2x-1/(x-1)(x-2)(x^2+5)

[rocky moth]

Bro just practice over and over again. There are two ways you can score good in maths either by doing pyq's or practice as hell like that would help dw if you feel you already know this then still do it

[lavish portal]

am I missing something

[leaden mason]

Trig sub?

[leaden token]

Hi I have a project at school in physics or math about " cycles and loops ", any ideas ?

[lime hemlock]

can anyone please help me with this question? thankyou

[lime hemlock]

solved it, nvm

[bleak tiger]

help

[left knoll]

this equation looks complicated but it’s actually tied to trigonometry

the roots are connected to angles and you can think of them as being spaced out evenly on a circle

but Im not sure about what kind of help do you need? where are u stuck in your reasoning? I can try to help you if u can be more specific

[cyan robin]

I thought that was a quadratic eqn

but then I saw the highest power as 3 💀

[mystic thunder]

it can be factorized tho

shi it ismt

[finite iris]

could anyone help me with this question? honestly not sure what to do with it, many thanks

[left knoll]

definitely not an easy equation lol

but I’d try two approaches like Vieta’s formulas to use root relations and trigonometric substitution which I think often works for cubic equations like this
the roots seem to follow a cosine pattern, making things simpler I guess

[left knoll]

it’s been a while since I did some physics but I found the formula for your question
you need to find the force by multiplying the mass of the wheelbarrow (50 kg) by gravity (9.81 m/s²), which gives you the value of F. Then, you can figure out the lever arm by taking the horizontal distance X (0.25 m) and multiplying it by the cosine of the angle (34°), which gives you a meter value
finally you’ll have to multiply the force by the lever arm to get the moment in Nm

this formula btw

[finite iris]

is the horizontal distance 150cm in this case?

[left knoll]

No the horizontal distance isn't 150 cm here like that’s the length AB, likely the wheelbarrow's handles
You have to use X = 25 cm (0.25 m) and its horizontal component: d = 0.25 times * cos(34°), that's ur lever arm

[finite iris]

correct me if im wrong,
so the lever arm would be 0.25 x cos34
with the force being (50x9.81)

and then the moment would be those two multiplied together?

I do apologise im really bad at physics

[left knoll]

yes I think so

[finite iris]

thats coming up as wrong im afraid

[left knoll]

oh lmaoo what have you found

[finite iris]

its a website my class uses and it just verifies if the answer is right or wrong 😭

the answer I got was 101.66

which was wrong

[left knoll]

okay so I will think where I got smth wrong wait 😭

[finite iris]

alright, thank you

[left knoll]

Im a Bioinformatics student but I’ll try since this if fun to do physics bc it’s been a whileee

let’s try again

[finite iris]

sounds good 👌

[left knoll]

try 343.2 Nm and tell me

[finite iris]

still no

[left knoll]

😭😭😭

68.5 Nm?

[finite iris]

nope

[left knoll]

wait wtf

We just have to apply the formula of the moment like M = F * d

F = m * g
right

F = 50 * 9,81 = 490,5 Newton

like for this step that’s good do u agree ?

[finite iris]

seems right

[left knoll]

maybe you were right about the perpendicular distance

we have to find d

did I said 411 Nm?

d is the distance between the point where the force is applied and the axis around which the rotation occurs right

[finite iris]

honestly im not sure 😭

[left knoll]

😭😭

I feel dumb rn bc this is not my field at all but you have to find the answer

can someone help us pls

[weak lotus]

d is the distance perpendicular from the force and the origin

[weak lotus]

that is what it says on your picture xp

[left knoll]

yep

How would you have calculated then ? how to use X and AB

[left knoll]

try 613,125 Nm

[finite iris]

is that a comma or a decimal

[left knoll]

decimal but Idk you have to write all the result or not ?

or just 613

[finite iris]

still wrong 😭

[left knoll]

WHAT

I will kms

[finite iris]

my other friend said the same thing

😭

[left knoll]

ur friend found 613

[finite iris]

no

he said hed kms after getting attempts wrong

😭

[left knoll]

😭😭😭

I feel the same

bc what I did was

[left knoll]

the distance is like he said

150 cm - 25 cm

so 125 cm

and M = F * d

so 490,5 * (125 cm * 10**-2) to convert in Nm

and I found 613,125 Nm

[bleak tiger]

yea, it was that way

[bleak tiger]

i didnt know where to start, so i have to go back on a few things to get a hold of this

this is the solution btw

this list its so difficult 😭

[cyan robin]

yup

[mystic thunder]

what's the answer

[unborn basalt]

i know that in the wikipedia of the putnam competition it says if you get top 5 then you get tuition at harvard, does that mean if you compete in the putnam from another school you will be offered a full ride at harvard?

[royal vale]

Need help to find value of this

[leaden mason]

It's through l'hopital's rule

[tender arrow]

Why do you add ln?

[sacred marsh]

L'hopital's rule is basically that you derivate both the numerator and denominator and then solve the limit

[candid rivet]

a^x = exp( ln(a^x) ) = exp( x ln(a) )

[north linden]

ooo thank you king

[north linden]

anyone pls

[mystic thunder]

use l hospital

[keen robin]

l hopital on the first one and just trigono in the second (noice questions for 11th ngl)

[left knoll]

Tru

[north linden]

thanks

[meager warren]

send welp

this the student suggestion i found

but idk if its correct or not

[proper stone]

is the first or the second one right?

[sacred marsh]

both are incorrect

[proper stone]

yes I figured it out after I took a break thank you anyways tho :)

[sacred marsh]

haha happens

[proper stone]

thank youuuu

[main cliff]

hey, is there anyone here who could explain integrals to me?

[fierce monolith]

Ez

[wide slate]

can someone explain eigenvector decomposition in prinicpal component analysis to me

[hallow scaffold]

Can anybody do a step by step explanation on how to solve this

[lusty kraken]

Guys if tan 90 Is undefined the n cot which is 1/tan cot 90 is also undefined

[north skiff]

Nope it would be zero

tan 90 is undefined because it is written as sin90 upon cos90

Which is 0 upon 1 which is undefined

But if you reciprocal it

It would become 1 upon 0

That is 0

Simple

[lusty kraken]

Ohh yah I just failed my exam and I came out so happy thinking I did good

Thanks tho

😢

[north skiff]

I too have my exam in 2 days😭😭

[north skiff]

Great confidence man

[lusty kraken]

I hope u do better then I did

[north skiff]

Hope I will score good in mine

Pls pray🙏🙏

[lusty kraken]

Okayyy ☺️

Omg another question

What would the graph of g(x)=2tan3x be

Is this correct

[north skiff]

Ok it's a bit hard to understand

If I were a teacher I would give a zero on the diagram

And to the question won't the tan graph remain same??

[lusty kraken]

😭 it’s not the graph for the exam lol someone copied it down on a scratch paper and snuck it out to check their answer dw the one the teacher will mark is better

[lusty kraken]

No tan x is diff from 2 tan 3x

[north skiff]

My brain stopped working by seeing to much maths💀💀

Even I don't know this

[lusty kraken]

Haha lol it’s Alr google gave me the answer and I got that wrong as well

[north skiff]

Mist probably you have to find the value for every angle and plot the graph

[lusty kraken]

Yah

[north skiff]

Damm I'm correct?

[fierce monolith]

Chem

?

[north skiff]

Yes bro

Tomorrow it is

Hopefully goes food

[lyric leaf]

you can also think about it as a stretch where everything is pulled towards the y axis by a factor of 3 so you'd usually have a tan intersection at pi (or 180deg) but instead its now pi/3 (or 60deg)
and the multiple of 2 increases the positive y values and makes the negative ones more negative so stretches it away from the x axis by 2, would recommend messing around with desmos to gain an intuition for stuff like this

https://www.desmos.com/calculator/2qe1pwdxl8

[fierce monolith]

Ah f i dont know a shit

[chilly leaf]

Anyone know an all in one math text book? If not recommend the best math text book you have ever used please, no matter what area of math. Any math text book you read and have just thought, wow, this is the best math text book I've ever used. THANKS ❤️

[north skiff]

Try NCERT version of maths from india

[fierce monolith]

He said best not the worst

[left knoll]

https://www.amazon.in/Advanced-Problems-Mathematics-JEE-Main/dp/9384934054

idk how it is ive just heard stuff about it

[north skiff]

😁😁😁

[fierce monolith]

Ah shit he might need 24/7 ambulance care

[chilly leaf]

Thanks

[chilly leaf]

Oh...? 💀

[chilly leaf]

Thanks

[dire aurora]

Does anyone know how to resolve this interesting contradiction? Where is the problem

[dire aurora]

I got this far but i don’t know how to justify the condition i underlined in red

[vital fable]

This problem made me smile. My teacher just pulled this up during the start of complex Numbers and it was funny seeing him prove 1=-1 :)

[dire aurora]

Could u show that to me?

Ah its just the same as what i wrote

Got u

[vital fable]

Yes it is

Sqrt AB can't be resolved into SqrtA and SqrtB if both of them are negative

That's what the underlined statement says

[dire aurora]

I know

I wrote it

Hahahah

[vital fable]

And that's the condition for the equation to be true though I don't know what the word justify means in this sense

[dire aurora]

I meant like

I know know its true by looking at the equation and then making it such that it resolved the contradiction

Thats like cheating

Just does the condition arise by itself

If u know what i mean

That would justify it

[vital fable]

You wanna just...derive the equation then? Jk..

[dire aurora]

Derive the condition, yeah

Like u know how absolute value functions are piecewise functions with the condition that all values less than zero have to be multiplied by negative one? That condition is justified because it’s in accordance with the definition of the absolute value function itself. The condition that I set out in my proof isn’t justified in the same sense.

[vital fable]

when I took my complex number classes I searched up the same thing after an hour was fussing over it and the answer to this question made much sense to me. You'll perhaps want to check it out: https://math.stackexchange.com/questions/3528192/why-is-sqrtab-sqrta-sqrtb-not-true-when-a-and-b-are-both-negative

[vital fable]

Ohhh, I see, that's what you meant by justified. I haven't done much 'proving' maths yet, so I was unable to understand what it meant

[dire aurora]

Awesome. Looks like what i need. I’ll check it out as soon as I can.

[vital fable]

Have fun!

[dire aurora]

Thank you so much

[mystic thunder]

how to prove collinearity using section formula

I don't really understans

[fierce monolith]

Probably, so using section formulla find the point b/w two points then we have 3 points a,b,c with a having x1,y1,z1 similarly b x2,y2,z2 and c x3,y3,z3. Now first to prove collinearity b/w a and b. We do x1/x2=y1/y2=z1/z2 (if all equal then hence proved )and similarly for bc and ac

Let me know if i am wrong

[mystic thunder]

yeah but like why

[fierce monolith]

Because to prove colinearity

[mystic thunder]

why should it be equal

[fierce monolith]

Ah shit u thinkin like phd student ok ima tell u

So a point to be linear

I mean colineqr

Which means

We do that because, to check that lines and parllel

And due to which we can say it is colinear

And if you know that to a line to be parllel a1=a2 and b1=b2 c1=c2 or should be mutiple of each other, and to be linear their ratios should be equal ( a1 upto c2 are direction ratios)

[mystic thunder]

OHHHHH

OKAY

MAKES SENSE THANKS

I forgor this existed

[fierce monolith]

Yea let me know if i am wrong

[left knoll]

@mystic thunder @fierce monolith I think you can also prove it by proving that it doesn't intersect nor they are parallel.

[worthy sigil]

my brain is fried can someone help i suck at fractions

[hallow oyster]

What is f(2)? There's a closed hole by itself at f(2), and an open hole within the graph at f(2), and I can only put in one answer. Not sure what the answer for it is supposed to be

[fierce monolith]

F(2) = 2

[fierce monolith]

Just mutiply em in

Multiply*

[fiery wind]

Hey guys I know this is a bit of a vague question but is there any trick to proof by deduction? (questions where you are supposed to prove if its true or false)
For example: deduce that, for x > 2, 3 / (x - 1) - 2 / (x - 2) is less than x / (x^2 - 3x + 2)

[lusty hare]

Hello everyone, I hope you’re doing well.

I need some valuable help and would be willing to invest if someone can do it. The idea is simple: I have an exam coming up soon, and I need someone who can help me write more than three applied algebra tutorials in LaTeX on my Notion page, written in French, please.

I hope this is allowed, of course. if it’s not, just forget what I said.

[real plinth]

umm could anyone help me with the problem number 4

[left knoll]

take a better pic cause this isnt a great angle

[real plinth]

yup

@left knoll

here

[left knoll]

i dmed you

[median harbor]

help please

[left knoll]

cant find the p for 11.1b. It is supposed to be 230, but i keep finding 216,67

[keen walrus]

Hey guys. Can someone please help me on this problem?

[solar tangle]

So in this graph there are 3 critical points (points at which the first derivative equal zero) the right one at x=3 the derivative change from negative to positive indicating this is a local minima . The middle one at x=1 there is no change so its a reflection point and the right one is a local maximia .
So there is only 1 local minima

[hollow wadi]

you need to calculate the cosinus tangentissimus of the right 87 degree quadrodecimal angle to be precise

[ashen pine]

Well I have a difficult question asked in a competition...can anyone solve it?

As you stand before the final challenge of Euler’s grave, a group of rival pirates emerges
from the shadows, their leader sneering with confidence. “Think you can handle Ball Ball
Go, landlubbers?” he taunts. “We’ll settle this with a tournament of strategy and skill!”
The rules are laid out before you:
Game Setup
Each match begins with a stack containing k balls
Players alternate turns
On each turn, you can remove either 1, 3, or 4 balls
The player who removes the last ball loses
Tournament Format
Multiple matches will be played, each with a random number of balls between 1 and 15.
Each match will have a unique number of balls, and all numbers from 1 to 15 will be used
without repetition.
The loser of each match starts the next game.
The winner of the last match is the winner of the tournament.
To play optimally and win the tournament, you can choose to intentionally lose a certain
match.
The rival captain smirks, “Pattagobi taught us this game. You won’t stand a chance!”
The measured territories of Euler’s grave seem to fade into the background as the challenge
becomes clear - can you outmaneuver these skilled opponents and claim victory? Given that
the sequence of the number of balls is random, Find the probability of winning if you begin
in terms of a fraction(numerator and denominator are coprime).
Find value of numerator + denominator.

Ignore the story lines, its given just for fun

Find the fraction

[void kite]

i can help
the answer is : n=1/2
youre welcome!

[real plinth]

Umm would someone mind helping me with this one?

[past flax]

What are we looking for? The Stem Function?

[real plinth]

well evaluate it

[left knoll]

take 1/x2=t and solve it

cuz the derivative of 1/x2 is already avaliable (i.e 1/x3)

[hollow ravine]

Gm

[random sierra]

hi, @everyone, I am ready to help you with geometry and algebra for high schools, but would like to keep in touch with university students 🙂

[real plinth]

Umm how do I solve this one

?

[left knoll]

Root x = t

Derivate and solve

[real plinth]

Sin t/ sqrt (cos^3 t)?

[left knoll]

Yes

Basically it is integration of 1/root cos t

[real plinth]

Thx

[left knoll]

did u understand how to solve m

Or shall I solve and send photo?

[real plinth]

Just send the photo

I want the full writing form

[real plinth]

Wait nvm

[zinc hill]

how i can solve this , my calc 2 teachr gave it as an exercise

[pearl vine]

Attempt

[signal vortex]

Hello, what is it asking me to do? Is it comp? Cross multiplication?

[ashen pine]

Iirc, it demands you to find the unit vector of B

Although I will say that the notation is quite archaic

[signal vortex]

OHHHHH OMG

THANK YOU!

[rugged folio]

can someone pls help me with solving this recurrence ?

[ember garnet]

Here is described a general method for solving recurrences. Yours is non-homogeneous so you'll need to convert it to homogeneous first and solve that.
https://en.wikipedia.org/wiki/Linear_recurrence_with_constant_coefficients#Conversion_to_homogeneous_form

[candid moth]

You are missing the following permissions required to run the command: manage_messages.

[tawny coral]

Probably easier than I think but I cannot find an equation than works helppp

[ember garnet]

inscribed angle BAD is right because it intercepts a half-circle arc (BD).
triangle BAD is right and isosceles.
therefore angle ADB is 45 degress.
angle ACB is equal to angle ADB because they are inscribed angles that intercept the same arc (AB).
therefore angle ACB is also 45 degrees.
triangle ABC is isosceles. therefore angle BAC is (180-45)/2 = 135/2 = 67.5 degrees

[tawny coral]

Ohhhh ok thank you so so much I forgot about the right angle in a semicircle theorum!!🫶🫶

[ember garnet]

you're welcome :)

[primal thistle]

anyone activee?

isn't this wrong

50 when outisde would be 50 and not 1/50

[ember garnet]

check again what exactly gets substituted in the original integral

[primal thistle]

i got it nvm

i forgot to say

im dumb

[rugged folio]

Solve the following recurrences:

b) T(n)=2T(n/4)+n1/2, n> 0, and T(0)=2

Pls some help ?
Espically when finding the constants , can we find them ? or theres an error with the initail value , T(0) = 2 ?

[oblique orchid]

found this on the web, but i havent learnt master's theorem yet. So u can see if it helps

why is c option wrong here?

[rugged folio]

Thanks for helping
I had checked about the initial values from my colleagues , and yes it turned out that the initial value is wrong here

[left knoll]

while double differentiating you have to multiply with reciprocal of dx/d theta

(it's a rule, when differentiating wrt to 3rd variable) check out some yt videos for more clearity

[oblique orchid]

yup i got it! Thanks for the help!

[hexed kelp]

Find the number of triangles formed by three vertices of a regular n-gon that are obtuse

[obsidian spire]

My advice on this would be to select 2 random vertices, fix them.. and think what condition is necessary to for selecting the 3rd vertice to make the triangle obtuse.

You will then see how many work for those 2.. That's a good place to get started to see how the pattern works for what collection of 3 vertices count in this set. To make sure you hit every collection of 3 vertices in the set, without repeats of the same obtuse triangles, you'll need to do some extra steps.

Also you may have to consider odd and even n-gons separately.

[ashen pine]

Find the minimum value of k for which the graph of y=kx and y=e^x just touches.

[obsidian spire]

At x=0, y_1=k(0)=0 and y_2=e^0=1. So y_2=e^x is above y_1=kx at this point. By just touches i believe the question is saying, find the minimum k where y_1 intersects y_2 exactly once, and y_1 is less than or equal to y_2 for all values of x.

I hope this helps.

[ashen pine]

Yeah it asks for intersects only once. So what is that k value?

[obsidian spire]

You can figure it out from the questions requirements. Let x_0,y_0 be the intersection point. Before x_0, y_1 is below y_2 , so it must have a greater slope (or first derivative value) to catch up to y_2. After x_0, y_1 can't intersect y_2 again so the first derivative values of y_1 must be less than y_2. That means when they touch, it flips from greater than to less than, meaning they both have the same slope at the intersection.

Take the first derivative of both and set them equal to each other, take their equations and set them equal to each other.

Then find the x value that works

[ashen pine]

I tried working this out but didn't get any fruitful result. Can you do it once and tell me what you are getting?

[undone basin]

how do you do discrimant for a 3 term quadratic

[mystic thunder]

what do u mean

[undone basin]

how do you apply a discrimant to a quadratic that has 3 terms

x^3, x^2, x

[ashen pine]

well divide by x overall and say x not equal to zero

then you get standard quadratic in x^2,x and a constant...apply rule, check roots and then finally at the end check if x=0 satisfied or not. If yes then it is also a root

[undone basin]

thank you sm!

okay sometimes in intergration you take constants to the left side of the intergral, ususally as 1/5(example constant)

but like

sometimes it doesnt??