math-help

[timid delta]

E2 = 88×87/(110×109)

[dense wadi]

That is what I got @left knoll

Hopefully there are no errors, you don’t have to use tree diagram, i just use for understanding

[timid delta]

Uh I have a doubt from your solution

Why did you multiplied 4/5×4/5?

In part two?

There are 109 students to pick from right after the first one is chosen?

[dense wadi]

oh yeahhh

so i should do

88/110 * 88/109?

[timid delta]

87*

[dense wadi]

87/109

[timid delta]

Yes

[dense wadi]

that gives 348/545 (simplified)

[timid delta]

4/5×87/109

Yes

[dense wadi]

then i take 8/22 * 348/545?

[timid delta]

Why?

[dense wadi]

43/110*

[timid delta]

Part 3 will be different we have to take 3 cases

First case , student 1 is girl , second case , student 2 is girl, and third one both

[dense wadi]

oh yes

[timid delta]

And then add

[dense wadi]

lemme do it on paper rq

[timid delta]

Yes pls do , am solving electrostatics rn , so I can't

[dense wadi]

I believe that should be correct

[timid delta]

Well it seems so , I think it's correct

I did not check the calc tho

Well I think it's correct

[dense wadi]

ayt g, i gtg now, computer science is calling my way

Any tips on how i can get better on logarithms btw?

[dusty raven]

can anybody explain me how i do this? im lost

[timid delta]

Ok sir , I GTG too , have to finish electrostatics today, atleast half of the book before going to sleep , gn

[dusty raven]

i have the solution but my teacher skips every step

[dense wadi]

same, im on like 99 of mine, finna break a hundred today

Goodnight good sir

[timid delta]

Questions and identities will help

Yes fn

Gn*

[dense wadi]

could you elaborate on identities?

[rose anchor]

https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:logs/x2ec2f6f830c9fb89:log-prop/a/properties-of-logarithms

[dense wadi]

Thanks

[wraith aspen]

Can anybody help with this?

[dense wadi]

How do I apply this to questions like

[dense wadi]

it is either 3 or 4

Perimeter (27) = p + q + r

P<q<r

[wraith aspen]

oh no

The answer is 12

Option 1

[dense wadi]

how?

[wraith aspen]

I don’t know how but it’s in the answer key

[dense wadi]

:9

unlucky 😦

[wraith aspen]

Ah that’s okay

[timid delta]

Ping?

[timid delta]

Ohhhh well I think you don't need help anymore :)

[mental dragon]

• solve for x assuming the content in the absolute value is positive:
  1/(x+4) < 10
• solve for x assuming the content in the absolute value is negative:
  1/(-1 * (x+4)) < 10

lmk if that gives you the solutions that the teacher gave?

[timid delta]

Alright GTG , gn

[ivory minnow]

What is the general form of Newton's Interpolation Polynomial?

[supple island]

i mean, just study functions, this question uses some very basic concepts, so get familiar with those

like geometrical manipulations are just:"what happens to the function if i do f(x)+3, and what if i do f(x+3)?"

[dense wadi]

Alright

[dusty raven]

yes thank you very much

[proper lance]

Hi guys can anyone help with discrete math counting?

[icy frost]

Hi everyone! I am planning to start studying computer engineering and I know that math is a huge deal. What topics do you need I need to master in order to begin with a not-so accidented start?

[supple island]

they should teach the basics from the start, but if you want a headstart, knowing calculus is great

so generally the study of a given function

[icy frost]

sounds about right, any other topics?
I like math, but I was a music student and I focused hard on that for a few years. I'm really out of shape with the basics. What do you think it's important before calculus-level themes?

[supple island]

well, basic math like fractions, roots and exponentials

[icy frost]

I can work from there. Thanks a lot!

Advice from anyone is well received btw c:

[azure acorn]

Study line and equations

Trigonometry

Functions

[supple island]

oh yeah, those too

[azure acorn]

That's top 3 priority

[supple island]

yeah definitely linear and quadratic equations and inequations, basics trigonometry like what's the cosine of an angle

[azure acorn]

U need strong grip on those topics 👍

[supple island]

[icy frost]

thanks pal!

[civic kestrel]

I have one week until my geometry eoc what is the best way i can study all the topics

im so scared because ive been slacking bc of elearning and its finally catching up to me

i mean not help necessarily just i want to know how I can study for it

[left knoll]

hi

[weary arrow]

The thing that works best for me is working on questions that have an answer (and preferably a solution guide too) to test my knowledge and discover what I need to focus on improving. Learning by doing is also good, as well as becoming more confident in doing the things you understand by doing it right several times

[civic kestrel]

ok thanks for the help

[gray dawn]

https://gyazo.com/5f79d02cdff7d6bc38a4300a8699cf0f

🤔

[weak silo]

does anyone have the pdf for "Matrices and Linear Transformations" by Cullen???

[thick steppe]

ouch 🙁

[drowsy oriole]

(1/y) dy = ( x/(x^(2)+52) )dx ... So you integrate both terms

[left knoll]

[weak silo]

MOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOODS <@&717391911132069929>

[random sand]

thanks for letting us know about this!!

[trail swift]

he's banned @random sand

[gray dawn]

ty

[heavy raptor]

can someone helpp me w this??

[slow girder]

can somebody help me about Area of composite figures formulas

[left knoll]

Seems like an integration technique I didn’t study yet :/, u can use Photomath(application)or symbolab(google it), they show the steps.
Plus maybe this video will help you out

https://youtu.be/ve527rYiYdU

[surreal basin]

hello bud, you use substitution by letting u=tan(x/2) and du=1/2dxsec^2(x/2) then transform using the substititutions; sinx=2u/(u^2+1), cosx=(1-u^2/u^2+1) and dx=2du/u^2+1

[azure acorn]

Try substitution

Which method is that?

[left knoll]

This is calculus 2?

[azure acorn]

Yeah

[heavy raptor]

yeah

[left knoll]

These are the steps

Man I am in calculus 2 and didn’t see that method, weird👁️👄👁️

Youtube may help!

[heavy raptor]

btw thank you

i already figured it out

[left knoll]

Welcome :3

[slow girder]

can somebody help me about Area of composite figures formulas.

i really have a hardtime in this

[brazen sinew]

hi

im doing my physics hw and i realized that i have to use approximation

but i dont know what does cos(epsilon) (supposed that epsilon is small enough) approximately equal to

please help

[left knoll]

give me a question and i'll try to walk you through it

[stuck quail]

1 https://en.wikipedia.org/wiki/Small-angle_approximation

[unreal sandal]

cos(x) + 2sin(x) = 1

pls help

0 <= x <= Pi

[dusk stone]

Hellp

[static lava]

127.1788 @dusk stone

use formula =STDEV.S in the excel

[royal finch]

2tan^-1(2) is what im getting

[dusk stone]

Thank you soo much🥰🥰

[hollow escarp]

If you wanna know how to do it manually, refer this.

[hollow escarp]

I did it quickly, so not very sure about the accuracy. Also, it's been a while I'm rusty

[dusk stone]

Seriuosly thanks alot 🙌

[hollow escarp]

No problem man

[dapper mirage]

Question 12

[static lava]

very good work but should it be N-1 instead for the divider as it is a sample not population?

So should be SQRT of 177919/11 and the answer will be127.1788 instead

🥺

[torpid root]

if g(x) is approaching infinity, can we say the limit is infinity, or does it not exist?

[supple island]

you can say that if x is approaching something then the limit of g(x) is equal to infinity, so the lmit does exist

[torpid root]

in the video I was watching, the tutor said it formally doesn't exist, but people informally say it approaches infinity

[supple island]

uhhhh, maybe explain your situation better then

[static lava]

as there are only 12 samples in the problem so I consider it to use formula for sample not population?

[timid delta]

Is the answer B ?

[supple island]

these limits all do exist but g(x) is not conitnuous in x=1 and x=7

you say that a limit doesn't exists if you don't know what the function will do

[static lava]

@hollow escarp @dusk stone can correct me if im wronggg

[supple island]

for example lim x->infinity of sin(x) doesn't exist

[torpid root]

I see, so I can say that since we know g(x) approaches infinity at 1, the limit exists

but not continuous

[supple island]

more precisely we can say that the limit of g(x) for x approaching 1 is infinity

[timid delta]

I did this , if anything Is incorrect , let me know

[torpid root]

I need to work on my math terminology xD thanks though

[supple island]

just look up the definition of a limit

yw

[hollow escarp]

You're not wrong. I didn't consider Bessel's correction. I learnt this back in school some 10 years ago, I'm rusty 😅 . using n-1 would give you an unbiased estimate.

[supple island]

ah also mind that there are 2 limits here, one for x approaching 1 from the left and one from the right, but they both give the same result

[hollow escarp]

@dusk stone refer to your texts and check if it uses n or (n-1) , and follow the method

@static lava thanks for responding and sorry , i was studying. didnt notice the reply

[torpid root]

I'm learning all of this from the beginning as I can't do calculus. I want to build the foundations strong

if they don't approach the same value, the limit doesn't exist, but in this case, it approaches infinity from the left and from the right

right? :D

[timid delta]

Yes

[dusk stone]

thanks alot 🤗

[dusk stone]

Thanks as well candy

[static lava]

don’t worry! Keep fighting with the study 🤓✌🏻you got this!

[static lava]

Glad I can help 🙂

[timid delta]

Let me recheck , cuz I feel I did something wrong here

Aah I think it's correct

If something is incorrect let me know , ty :)

[dusk stone]

HELP😞😞 A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food M contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food N contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs RM50 per kg to purchase Food M and RM70 per kg to purchase Food N.
Formulate this problem as a linear programming problem to minimize the cost of such a mixture.

                 Food M     Food N     Minimum unit 

Vitamin A 2 1 8
Vitamin C 1 2 10

[left knoll]

you just need to solve the system, either by substitution or using an augmented matrix and row operations

[unreal parcel]

Hey can anybody help me with trigonometry

[timid delta]

Any condition on a b & c or its general?

@unreal parcel

[unreal parcel]

yes, a+b+c=180

[timid delta]

I will solve it later , I am currently doing something else , if no-one sends the solution, I will try it later :)

[unreal parcel]

that means a lot, thanks!

[hard jasper]

does anyone know how to do this

[left knoll]

the system is not linear^

[native moon]

Idk how analytically but if you put it into wolfram you can see some answers and a plot:

https://www.wolframalpha.com/input/?i=solve+simultaneous+equations+x^2%2B3*y^2%2B6*x%3D0%2C+2*y^2%2B3*x^2*y%3D0

[hard jasper]

I need to find the relative extrema and saddle points (I think that is the translation)

[hard jasper]

maybe I got the equations wrong, thanks either way

[left knoll]

hey yall can somebody tell me if i just divide the -1/2 by 2 because idk how to get rid of the 2theta

[wanton river]

use inverse trig function

theta = [npi + (-1)^narcsin(-1/2)] / 2

[left knoll]

thank you

[tall garnet]

quick question from discrete math:

how many permutations of the letters ABCDEFGH contain the strings CAB and BED?

the answer is 4! but I don't understand why, if anyone can answer this, I appreciate it! :')

[timid delta]

Ignore the cutting, I just woke up from nap and I solved it just after waking up , but you have to proceed like that :)

[unreal parcel]

thank you so much you literally just saved my life

[timid delta]

Np

[void igloo]

Hi guys, can someone help me doing this physic exercise.
Thank you 😊
(I apologize if there's some mistakes in the text but English is not my first language)

[tiny jewel]

assume cab and bed as one word and compute for the words separately. eg, let cab be z and for case II bed be y, your word becomes zdefgh and aycfgh

[supple island]

make a system with angular velocities, knowing that (WLOG supposed vA>vB) A in 20s does a full rotation+the space B has moved in 20s and in 4s does a full rotation-the space B has moved in 4s

[rustic sapphire]

okk

[left knoll]

Can anyone help me with it?

[fair plume]

Hi

help

pls

[slate storm]

Hey anyone knows any good Vedic maths teachers i can sign up for

Any classes

I’m from india

[wary parcel]

Since order is important here (CAB and BED) we use P(n,r) = n! / (n-r)! for the permutations formula. Next, we can write the letters and group like this: CAB, BED, F, G, H. But since B can only be used once, we'd have to see CABED together. So we can group like this: CABED, F, G, H.
Now we have 4 objects and 4 choices, so P(4,4) = 4! / (4-4)! = 4! = 24

[urban kernel]

Anyone really good at tensor calc

and index notation

Dm me please!

[fair plume]

https://tenor.com/view/math-calculate-confusing-figure-out-gif-6237717

@storm stag

[left knoll]

?

Do u have any specific doubt?

[supple island]

1. you're doing tensors in hs wow
2. do you have a specific problem?

[left knoll]

Does anybody have any tips on studying math? im trying to get more serious with my studies (im trying to relearn precalc) but i feel like im wasting my time with how im going about it. For instance i spend really long on topics, almost like im stuck.

[uncut crest]

Are your concepts clear and you're having difficulties solving problems though? Or are you still trying to understand the chapter rn?

[sinful notch]

Learn a concept thoroughly and then spend the majority of your time solving questions from that topic , I remember solving a LOT of questions day and night. But it paid off as I had 99/100 in my 12th grade finals

Do past questions papers, will help 100%

[uncut crest]

Eyy!! Fellow Indian!! Supp, I'm in 12th grade rn haha..

[uncut crest]

Yepp, listen to the man.. That's absolutely correct..

[left knoll]

its hard to explain tbh i feel like i have some mental blocks with it

ive been going back to more simple concepts

maybe i'll find it there

ty

[sinful notch]

Lmao nicee !! Math was the most fun subject for me. All the best for your boards !

[uncut crest]

Ty ty!! ❤️

[uncut crest]

Ohh maybe you're having problem understanding the concepts..

Is it?

[left knoll]

yes

concepts, different equations i have to use. I understand the why but not the how

maybe this is just a tangent

[uncut crest]

Hmm, taking help of a good maths teacher to understand the concepts well is a thing that works almost everytime, cause you know, maths is a different kind of subject, you can't really understand the concepts in a great way all by yourself, did you attend the previous classes you had of Maths regularly? Cause that's one of the important things to do..

Or you can search the YouTube for the specific concept you wanna learn about, there are a ton of Maths tutoring videos on YouTube, finding the vid you wanna watch will probably just take 5 mins extra, so it's worth a shot, if you don't wanna get help from your teacher (which is really fine cause I'm usually in that position too, haha)

I gtg now, I hope that helped you at least with a bit, good luck to you!! Byee!! :)))

[charred marsh]

@everyone Can anyone help me with this task, thank you:
3x+24=15+27; x=6

[uncut crest]

3x + 24 = 42
3x = 42 - 24
3x = 18
x = 18/3
x = 6

You weren't supposed to use the "everyone" tag for that though,

[left knoll]

Also I don't think that actually pings everyone

[charred marsh]

Thanks a lot

[uncut crest]

Ohh is it?

[uncut crest]

Np np :))

[left knoll]

But yea don't ping anyone...someone will help out soon Karomeister

[uncut crest]

Yepp

[charred marsh]

ok

[timid delta]

That everyone ping , pings a user who changed his/her nickname to everyone

[left knoll]

XD

[neat vigil]

hey peeps, is anyone here studying or are civil engineers ?

[winged oracle]

which one the first pic or second one?

[static lava]

The most recent one

[supple island]

Just develop the square and then solve the integral, it's pretty simple tbh, if you need help with this, it's probably better to take a look at how to solve this kind of integrals

[winged oracle]

ya true

[static lava]

Oh can solve it now hehe

Thanks guys

[supple island]

Oh ok

[static lava]

I’m too blurred today

🥲

[supple island]

You're welcome i guess

[supple island]

Study the Hessian

[timid delta]

[supple island]

First find when the gradient is 0, then study the Hessian in those points

[hard jasper]

yeah, the problem is when looking for the critical points

[hard jasper]

I get stuck when I try to find the points

I think I have to equalize (don't know if that's de right word) the partial derivates respect to x and y to 0

[supple island]

You have to do a system with both derivative a=0

[hard jasper]

and I got these equations

[supple island]

oh oj

oh ok

gimme a sec

[hard jasper]

wait wait

these ones:

[tall garnet]

thank you so much!

[supple island]

@hard jasper so y=0 is the only solution for y, now you gotta find the values of x using the first equation

which should be easier since you put in y=0, so that annoying middle term vanishes

after this you should get 2 points, study the hessian from those, depending on the determinant and the term of d/dx^2 you should know everything about those points

[hard jasper]

got it

thanks soo much

[woven orchid]

AB = 8 AND BC=10. Show that the are of the green triangle is 25√3

[supple island]

is green equilateral? @woven orchid

[woven orchid]

yes

looks like it @supple island

[supple island]

if it is you've got a side of an equilateral triangle

pretty easy to find the area

[woven orchid]

i have done the pythagorean theorem to get side AC = 2√41

But then i dont get it...

[supple island]

no need, just find the height of green

[woven orchid]

How?

[supple island]

imagine that you divide green in 2 with height

now you have 2 triangles, right?

[woven orchid]

yeah

[supple island]

both rectangle triangles

you have the hypotenuse and know that each basis is half of the side of the green triangle

just find the 3rd side

[woven orchid]

Dont i need to find both sides?

no nvm

[woven orchid]

Thank you, but why is the one side 10?

How did you find that?

[supple island]

cuz it's equilateral

all sides are the same

[woven orchid]

OOOHH

DAMN I DUMB

[supple island]

yeah, this is pretty much what i meant

[hardy tulip]

Yeah. I am bad in english, so I had to write it in math. 😄

[supple island]

lol

fair enough

[woven orchid]

Why do you do 10^2 - 5^2?

[supple island]

pythagora's theorem

[woven orchid]

but isnt it a^2+b^2?

[supple island]

since hypotenuse^2=side1^2+side2^2

then side1^2=hypotenuse^2-side^2

[hardy tulip]

a^2 + b^2 = c^2
a is 5
c is 10
b is like my x

[woven orchid]

i know, but the minus?

[supple island]

this

[woven orchid]

why do you do the minus?

[supple island]

do you know what an equation is?

basically if a=b+c then b=a-c

like 9=4+5, so 4=9-5

[hardy tulip]

c is the longest side, so it has to be the side with length 10

[woven orchid]

okok i understand

thank you!

[supple island]

yw

[woeful moss]

2 + 2 = 5?

[unreal river]

No 4,5

[left knoll]

incorrect. the correct answer is an apple thank you very much

[supple island]

the answer is actually a fish

As you can clearly see from this graphic

[left knoll]

relatable

[buoyant wedge]

What is a restriction lol

[livid river]

maybe it has to do with possible divisions by zero

[supple island]

i believe it's the existence conditions

so for example you can't divide by 0 and under a square root there can't be a negative number

[mild imp]

If anyone is good with linear algebra, hook me up with good tutorials/stuff to practice from, specific website or anything in general

Also i'd love to hear some tips when studying maths. I never found them hard or difficult to understand. I always have a hard time when it comes to midterms/exams and such. I just lose everything lol

[slate trout]

just use khan academy lol

[mild imp]

Yeah I'm aware of Khan academy

I asked in case someone found a source that really helped them during/exams and such

[supple island]

http://joshua.smcvt.edu/linearalgebra/

books are the best way to learn, videos will never be long enough

https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8

this is pretty good, but 30 lessons of not even an hour each aren't enough to learn linear algebra

[mild imp]

Well, i asked because i dropped linear algebra first semester of this year and it was the first time i had to drop a course, i do have all the slides and such i just wanna finish everything before the year starts. Don't wanna repeat that experience ><

Thank you ill look into them for practice 👍

[dry badge]

Someone mentioned this a few days ago but OpenStax is a really good resource as well for a bunch of different subjects

[mild imp]

Thank you! I just joined the server today

[mental dragon]

The part I found challenging about probability is that it's easy to come up with an answer but hard to know if your answer is correct.
I would suggest pay attention to the example problems and organize the "types" of problems you think you may run into on an exam. So when you encounter a new problem, you can compare it to an example problem that you know well.

[mental dragon]

Personally, I don't like watching videos so I used Paul's Online Math Notes extensively. It's like a textbook, but more informal and approachable. https://www.cs.cornell.edu/courses/cs485/2006sp/LinAlg_Complete.pdf
When an exam is approaching, I suggest starting with practice problems (as opposed to re-reading notes, re-watching lectures, etc.). It's a quick way to figure out what you don't know so that you can narrow down what you need to review.

[analog token]

gimme the equation pwease

:3

[left knoll]

y=-3x-9

[vernal wraith]

https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/ is also a good resource for lin alg

[maiden fog]

Hello we have an upcoming exam. Can you help me solve for this because I don't get it

[left knoll]

You just have to use the equation given and find i

sin(i) = 1.32*sin(30)
Sin i = 0.66
i = 41.3

[maiden fog]

Okayy. Thank youuu

[eternal violet]

any Ap stat's tip? Like is there any specific formulas that we need to understand for major part of the exam>>>?

[whole tusk]

x not equal to -2,-3,-4

[storm stag]

ok who pinged me

oh yes i have a question

5x + 2

pls find x

[pallid flint]

um u mean 5x+2=0?

[unreal sandal]

x = -0.4

[thick pine]

Is this channel only for school stuff or also university related questions?

[left knoll]

please tell me how to study trigonometry
i dont know anything abt it

[thick pine]

What do you have difficulties with?

[left knoll]

i dont understand

that chap

basics rnt clear either

[thick pine]

https://www.mathsisfun.com/sine-cosine-tangent.html

I hope this helps!

[halcyon skiff]

hiii does anyone have grade 10 math past papers?

[left knoll]

thanks alot ill look into it

[left knoll]

icse?

[fading ingot]

please please does anybody know what function is this and how should i count with it

[supple island]

it doesn't have a specific name

[fading ingot]

i need to find asymptotes

[supple island]

do the limits for x->+/- infinity and when you think the function has "problems", if it has any (for example when it's divided by 0)

[supple island]

any kind of math doubt i guess

[fading ingot]

i need to find it for 0 😄

i have no idea how, i have not seen it anywhere yet

[supple island]

there's no asymptote in x=0

do the limit for x->0 from the right and from the left

[left knoll]

hm

u can get 30 yrs question papers

online

[fading ingot]

like for both x+1 and x^2-1 ?

[supple island]

well yeah

but you'll just find that f is not continuous

[halcyon skiff]

any, because aaaaa im in IB and the curriculum does not have any past papers online because it's strict with the academic honesty thing

[fading ingot]

thanks man

[thick pine]

We need a tex bot...

[hearty tapir]

Hi guys,i was thinking about "why is √4 just equal to 2?".You may tell me "because the radical symbol implies only a nonnegative root,the principal square root.",but this explanation wasn't enough for me to understand its cause.So,I decided to think about it from different ways:

√4 = 4½.We know all powers of positive numbers are positive.So 4½ ≠ -2.√4 should equal to only 2.Is this correct?

[supple island]

yeah, basically

note that the "negative roots" are the ones that you take from x^2=4, because x=+/- sqrt(4)

[hearty tapir]

Sure,thankss :))

[thick pine]

Why is d²S/db0² = 2n and not 2?

Ahh is it because it's inside the sum? It's d²S/db0² = -2 * \sum_{i=1}^{n} (-1) = -2 * -n = 2n right?

[supple island]

yep, that's right

[formal pier]

Anyone can help me to find « y » in « x^3 +2xy -y = 2 » please

[left knoll]

its right there next to 2x

[rustic leaf]

Like that

[left knoll]

i would suggest you photo math, dear lord-sama

[rustic leaf]

wolfram is better)

[supple island]

please refrain yourself from trolling here

[left knoll]

ok, ok but it wasn't a troll i was literally telling him where j was

[formal pier]

Thank you guys !

[willow drum]

It's d

@sweet topaz

[buoyant wedge]

i remember him saying that now, thanks!!!!

[left knoll]

Hi, I need to solve such a problem, I have to write mathematical functions and their technical use in my work, but I can think of nothing but a linear function

[sweet topaz]

@willow drum @hollow escarp thanks guys

[lime willow]

Hi Guys :) I am looking for functions fulfilling this criterium to run some integral approximation code on. But I'm completely lost as to how to approach this. anyone got an idea?

sorry for the pic being the wrong way -.-

[latent siren]

Is F^r_d a function space?

Based off context, I'd infer that F^r_d is just the space of r-smoothly differentiable functions in d-dimension.

[lucid gazelle]

anyone here a god in proofs?

i need motivation to learn it

[latent siren]

In which case, just look at Gaussian functions (i.e. exponentially decaying functions)

[latent siren]

Uh, I'm a math phd student. So I have some experience with proofs under my belt.

[latent siren]

I first learnt proofs using a textbook (I've since forgotten its name, but I think it's a cambridge honours class lecture notes). I learned more after that by then studying abstract algebra and real analysis-- just try proving a lot of stuff, even the seemingly 'trivial' claims.

[supple island]

well, i gotta say that's pretty vague

[lime willow]

Precisely.

[lime willow]

Will do. Thanks for the idea. :)

[lime willow]

Risking to sound stupid here, but while Gaussian functions stay under 1, they do have quite steep slopes, how do i know i dont get bigger than 1? Since exponential functions are differentiable infinitely, i cant exactly check them all can i? But again. I might be missing something. This is abit past my mathematical knowledge.

[twilit wasp]

could someone help me with this?

[latent siren]

Maybe we can look at d=1 example? Let n be any positive integer, let's look at something like f(x)=exp(-(1/n)x), its mth derivative is ((-1)^m)(1/n)^m f(x). I think this will work?

[lime willow]

This one is Pythagoras. The line from O to A is orthogonal to the tangent through A. Hence AOD make a right angled triangle. Does this help?

[latent siren]

Just take certain forms of Gaussians . The one that I constructed above should work, and you should be able to generalize it to d-dimensions.

[lime willow]

Thanks! That makes sense. Figured trigonometric functions work in the one dimensional case too. I've been trying to generalize to 3 and 4 dimensions, but i seem to get all confused at some point^^'

[lime willow]

This already brings me further tho. Cause i didnt think of Gaussians :) So thanks.

[latent siren]

Ey, no problem. If you google n-dimensional Gaussian... you should come up with something. The derivatives of Gaussians are well-known... I think (look at Harmonic analysis textbooks maybe, if google-chan won't give it to you).

[latent siren]

Easiest way to get 'multidimensional' functions is the 'tensor product', I think--- which is just a complicated way of calling the following example: just take f(x,y,z)=sin(x)sin(y)sin(z). That should work too. In fact that's how you would generalize the Gaussians to 3-dimension and so forth.

[lime willow]

Well I'll be damned.

[glacial robin]

calculate the surface integral of the first kind over the surface S, where S is the part of the plane P cut off by the coordinate planes

[odd night]

help?

[rustic sapphire]

damn man did you know this statement

if alpha occurs twice in equation , then it is a common root for equations, f(x)=0 and f'(x)= 0 and if it occurs thrice then it is common in f(x)=0 and f'(x)= 0 and f"(x)=0

[timid delta]

Hm

Same for repeating 3 times

[rustic sapphire]

yrp

yep**

i came to know this today

[timid delta]

Ohhh

Nais

Well I deleted the pic :)

[hollow escarp]

i'll post now

@odd night

[odd night]

ty

[hollow escarp]

All good ?

[hollow escarp]

@odd night

[odd night]

yes ty

[dim sluice]

how does the power make the negative go away

[left knoll]

Negative times a negative equals a positve

[coarse blade]

But i think u should write (-0.99)^80 in that case (instead of (-0.99^80) 🙂 )

[left knoll]

afaik it's the same. But I've never been a star at math

[dim sluice]

does it make it a trimple negative?

wait no

that neg gets distributed

[latent siren]

Using the law of exponent that (xy)^n = (x^n)(y^n)

Wait...

Sorry, I misread your equation. It's simply because -(-x)=x for any number x.

just take x=-(0.89)^80

[dim sluice]

why does the negative stay

does it go into both when you distribute

[left knoll]

I would do this:
1 - (-0,99 ^80) = 1 - 0,99 ^ 80
(-0,99 ^ 80) = 0,99 ^ 80
0,45 = 0,45

[dim sluice]

well, its not really solving to find something
its more i saw someone simplify the left side to the right side

and i dont get how the number remained negative when there were two negatives

[left knoll]

It's because you calculate in between the brackets first

[coarse blade]

I think that someone made a mistake...

maybe this makes it clearer 🙂

[dim sluice]

it was sal from khan academy

ill link it to the time stamp for clearity

https://youtu.be/DY9Q3qNmZnw?t=233

[left knoll]

It's too late for this, I'm sure you guys'll figure it out

[coarse blade]

he added the white breackets. Then it is like the second case i wrote down

[dim sluice]

are the ^'s 1's

thank you that clears it up

[coarse blade]

I mean the second case here. The one after "But:"

and the ^'s mean "to the power of" 😉

[dim sluice]

😎 👍

[quaint locust]

guhh, idk im just dumb or if theres an actual answer to this. someone pls help and explain. this is on permutations and combinations

[rain crow]

Hey guys, i need some help, this on ordinary differential ecuations , translation: determine the function N(x,y), such that the differential ecuation (the number )to be exact equation

[stuck mauve]

Well first you need to know the probabilities of both apples and oranges, but I think we can assume they have the same probability of being chosen. But since you need to get a 0.5 probability 4 times in a row, you take 0.5 and give it an exponent of 4, so 0.5^4th. That’d be (0.5)(0.5)(0.5)(0.5) = 0.625 or 1/16

Anyone else getting ready for the AP stats test?

[ionic nebula]

hey can any1 help me with this question

[stuck mauve]

Does that bring you to 3x^2-4x-15=0 to factor?

[silk quiver]

the problem translates to 3x^2-4x=15. and the solution can be 3 and -5/3, but since it says whole number only that is why the answer is only 3

[lusty terrace]

Yeah, the answer is 3

[ionic nebula]

ok, thanks!

[ionic nebula]

what's ^?

[silk quiver]

it means raised to because we can't superscript here

[ionic nebula]

oh ic

[round magnet]

BRO'S BEEN PLAYING GENSHIN IMPACT FOR 53 MINS AND HE'S TALKIN BOUT MATHS

[ionic nebula]

genshin is open in my background

[analog wagon]

anyone, plz solve q 13

out of these two which function is periodic, {sin{x}}( where {.} represents fractional part of x) and sin[x] (where [.] represents greatest integer function.)

[lapis sand]

Let the expression of the line be f(x,y) (f(x,y)=3y-2x+1) and g(x,y) be that of the circle (g(x,y)=x²+y²-6). For the smaller part f(x,y)<0 and g(x,y)<0.

[lapis sand]

{sin{x}}

[analog wagon]

thanks

[analog wagon]

i drew the graph of sin[x] and it seems like periodic but it was discontinous, so is this the reason it's not periodic?

[lapis sand]

sin[x]=0 is for only x>=0 and x<1. Had it been periodic it would have been true for another interval.

[analog wagon]

okay. thnx agn

[modest ice]

Heyyy ok i understood the theory but how do u plot the graph like how do they just know where to stretch out the lines?

[timid delta]

F=m (1/r²) , m= KQ1Q2

it gives a equation of straight line , passing through origin , and more the m the greater the angle of the line with X axis

Slope more

[left knoll]

can someone please help me in solving quadratic equations?

idk how to

please

@timid delta

[low dome]

A+B:Pİ/4 COS(5A+6B):3/5 SİNA: ?

help pls

[twin quartz]

On January 1, 2018, Panorama Company acquired 80% of Scann Corporation for $6,400,000.At the time of the acquisition, the book value of Scann's assets and liabilities was equal to the fair value except for equipment that was undervalued $80,000 with a four-year remaining useful life and inventories that were undervalued $20,000 and sold in 2018. Panorama separate net income in 2018 and 2019 was $1,100,000 and $1,150,000, respectively. Scann separate net income in 2018 and 2019 was $300,000 and $360,000, respectively. Dividend payments by Scann in 2018 and 2019 were $60,000 and $60,000, respectively

Required: Using equity method,

1. Calculate Investment in Scann shown on Panorama's ledger at December 31, 2018 and 2019.
2. Calculate Investment in Scann shown on the consolidated statements at December 31, 2018 and 2019.

[jolly herald]

Why is everyone doing calculus?

[lapis sand]

'cause its fun as hellll!!!!

[lapis sand]

I didn't really get your question. What do those ':' mean?

[low dome]

=

[lapis sand]

Let there be a quadratic equation of the form:
ax²+bx+c=0
a,b,c are real
In order to solve you first need to check if a solution exist. So our first job is to find the discriminant D.
D=b²-4ac
case-1:
D>0
this means two distinct real solutions exist
case-2:
D<0
this means no real solution exists. Both the roots are imaginary(complex conjugates)
case-3:
D=0
This means there is one and only one solution.
We can find real solutions only for cases 1 and 2.
Now let us proceed.
Our two solutions are
(-b+√D)/2a
and,
(-b-√D)/2a
I hope this helps.

You can prove those cases by completing the square method.

[low dome]

thank you

[low dome]

answer quastion: cos6A-A+6B)

COS(270-A)

6A+6B:3Pİ/2

COS270-A

-SİNA:-3/5

[low dome]

I did it myself, but I thank you very much.

[lapis sand]

Oh, great.

[maiden sigil]

I dont understand the question, and the answer is suppsoed to look this (x,y)

[lapis sand]

Let the cost of one roll of plain paper be x and that of shiny paper be y
5x+8y=84......(i)
5x+5y=60......(ii)
(ii)-(i):
(5x+8y)-(5x+5y)=84-60
=> 3y=24
=> y=8
putting value of y in (ii)
5x+40=60
=>x=4
Therefore, one roll of plain wrapping paper costs x i.e. 4$ and one roll of shiny wrapping paper costs y i.e. 8$.

[still heath]

Can anyone pls help me? I wish to be able to revise 2 yrs worth of math theory... How should I aproach it????

[left knoll]

Bets thing is to start with the basics, and practice a lot

Resources like Kahn Academy and https://openstax.org/subjects/math could help you on your journey

[still heath]

Actually, I'm still learning and will have 4 exams based on it, so like, last min revision tips??

[still heath]

Oh thanks!

[left knoll]

People often forgoe the basics in favor of learning the harder subjects, but trying to speedrun math will only show you down. You can't build a house on bad foundations

[still heath]

That's right

[still heath]

Thanks for the advice!

[left knoll]

You're welcome! I'm not great at math, but one thing I do know is that the more hands on you get, the more progress you will make

I'm sure there's many people here who can help you much better than I can, though

[steady spear]

anyone know how to do this?

question 9a

[lapis sand]

Is this correct?

[steady spear]

Yep thats correct

Could you explain it briefly if thats fine?

[lapis sand]

We were asked to find a linear funtion over t for an expression of N. The only way to find a linear from an exponential is the natural logarithm.
For that I at first seperated the exponent and then took natural logarithm.
Now we require a function in N only and thus we need to get rid of any other variable from that term. We see that J is there along with N.
So I seperated J using the properties of logarithm i.e.
log(ab)=log a + log b
and log(a/b)=log a - log b
then seperate the term with N in it. You got your function!

[steady spear]

Ahh that makes so much more sense, thank you so much!! i was on this question for like 10 minutes 😆 @lapis sand

[lapis sand]

No probs ^^

[winged coyote]

the rules of this chat is just to stay academically honest, only hw help right?

[lucid basin]

help me solve for this

[latent siren]

Try to find a way to get the other matrix using only elementary row operations

adding a row to another row does not affect the determinant,

switching two rows or columns just introduces a negative to the determinant, and

multiplying a constant to a row scales the determinant by that constant

[fossil jungle]

Hello, fellas.

[lucid basin]

thanks:P

[rustic sapphire]

cuz its important

[left knoll]

I'm bored and i need good books on Eucledian Geometry...i used to love doing it in high school, thought i should get back to doing it

specifically Circle Geometry

tag me if you have a suggestion

[thick pine]

Tag me too please 👍

[rustic sapphire]

anyone can help me out with algebra?

@everyone

[supple island]

Do the derivative and pose It equal to 0

[supple island]

Find the 2 solutions and pose that one is the square of the other (so you have to square the former), hint: the solution with the minus is smaller than the one with the plus

[supple island]

This is just definitions, look them up in your textbook

[dim path]

how can f be 0?

oh, so could i consider it as x if i were to plot it on a graph

alright, thank you

its alright at least you tried

[thick pine]

Yes theta is the variable here I‘d guess

[marble crest]

Hiii can u all help me with #18

[marble crest]

Thank youuuu soo much<3 @silk quiver

[twilit fossil]

Does someone have any idea of solving this?
Calculate the correlation coefficient between X and Y when the vector (X, Y) has the following densities.
The first one is discrete and the other continuous

[left knoll]

Help

[silk quiver]

x= 36/sin(60).... x=24*3^0.5

[left knoll]

Thank you!

[left knoll]

anyone can help me out with this?

I've to find the inverse laplace transform using step function

[left knoll]

any1?

[shut violet]

I'm not sure on this, but I would read: A prime, B prime, C prime

[left knoll]

ok thx

its one of the answers so ima just go with that

[random flame]

Ayo so long story short I'm trying to help a friend with her hw, if someone can help ping me pls. If this pic is flipped I'll just resend it-

AIGHT IT'S FLIPPED HOLD ON-

[rustic sapphire]

bruh... what do you mean i got the roots as : u can see in the attachment and those roots arent coping up with the options

[buoyant wedge]

does anyone know what the restriction for all square root functions are???

[left knoll]

Restriction?

[buoyant wedge]

yeaa so like were solving radical equations

for example

[zinc dagger]

has to be positive

the y that is

[left knoll]

(0, ∞)

[silk quiver]

those expression inside the radical should be >= 0 always. or else it will be imaginary

[robust prism]

so the k must be negative?

[left knoll]

Nope, complex

[robust prism]

ooo ok thanks

[buoyant wedge]

thanks!!!

[buoyant wedge]

thank youu

[rustic sapphire]

please help

[teal karma]

Help

[rustic sapphire]

i got your back man

@teal karma

just a min

[fair trellis]

@rustic sapphire

[teal karma]

@rustic sapphire thank you so much

[cloud girder]

does anyone know how to do this? its polar equations

[silk quiver]

search for polar graphs of lemniscates, it has 2 petals

[cloud girder]

THANK YOU SO MUCH

[mystic python]

Does anyone have a good youtube video that explains Inverse trigonometry functions?

[ancient ether]

Hey y'all. I am tryin yo find m in Matlab any suggestions??

[rustic sapphire]

yep i do

you can search in the khanacademy channel

[mystic python]

Hmmm... Okay I will try them

[rustic sapphire]

sure

[supple island]

is anyone here familiar with Dirac's notation?

[rustic sapphire]

sorry sorry

[sturdy comet]

How?

[gilded pine]

can u translate to english the qns?is it just find x?or are there any other conditons?

[sturdy comet]

Thank you

[silk quiver]

soh cah toa

[sturdy comet]

👍 👍 👍

[sullen sleet]

is that not the way to do it?

[gilded pine]

but are 2,3,4 pythagorean triplets?

[supple island]

rule #5

[sullen sleet]

i'm jsut tryna find out if that's the wrong way to do it... im not asking for an answer to the question

[slow parcel]

ED not perpendiuclar on BC

[gilded pine]

yes u r right!

[silk quiver]

3C1 * 0.5^1 * 0.5^2
=0.375

[slow parcel]

x = 4, but i dont know how to calculate it

[gilded pine]

no i think its 2

just take cosine formula for inner triangle and outer triangle and equate the RHS since the angles are same

[slow parcel]

x cant be 2

[fiery remnant]

Does anyone know how the first stage of the differential equations are done

[gilded pine]

why?

[slow parcel]

BC and AC spread further apart from ED to x, so x has to be greater than ED

since ED is 2, x > 2

[sturdy comet]

Х=10?

[gilded pine]

dude u r right i had a calculation mistake from my part😂 x=4!!!!!

thanks for correcting:)

[slow parcel]

no worries 🙂

[left knoll]

root of 244?

[gilded pine]

@sturdy comet

answer to ur qns

[silk quiver]

yes

[sturdy comet]

Thank u

[sturdy comet]

@gilded pine he is right?

[gilded pine]

who?

[sturdy comet]

Blinders

Why he said '' yes''

[gilded pine]

oh lemme check it.but if the angle in the upper triangle is 90 then x is not 10

[silk quiver]

i said yes because x is 1- for your 2nd questiom

[gentle heron]

x=10

[gentle heron]

Same

[gilded pine]

yes you are right

[fallen crypt]

yo

[gentle heron]

yooooooo

[gilded pine]

@sturdy comet ,blinders is right 10 is crct ans for ur qns

[fallen crypt]

does anyone have good question banks for differential equations?

[slow parcel]

but how can he assume that the degree is the same if you dont know for sure if BC and CD are parallel

[fallen crypt]

im stuck on higher order ordinary DE and cant really find resources to apply what i understood

[gentle heron]

.

[silk quiver]

check out opposite angle theorem

[gilded pine]

+1 these are vertically opposite angles

[slow parcel]

wouldnt the degree only be the same if BC and CD were parallel, too?

[slow parcel]

since the degree could be of by one degree

[gilded pine]

i believe bc and cd are on the same line so we can say it is parallel

[silk quiver]

they don't need to be parallel. the theorem states that if 2 lines intersect then the pairs of vertilcally opposite angles are equal

[slow parcel]

but its given on AC and CE, so why not on BC and CD?

[round sparrow]

But there are 4 lines, AC, BC, CD and CE

[slow parcel]

yes, and CD could be of by one degree

[round sparrow]

And AC and CE are parallel so they count as one line

[silk quiver]

no metter how long the 2 lines is as long as the 2 lines intersect, their verticall opposite angles will be equal

[round sparrow]

THERE ARE NOT TWO LINES INTERSECTING

[silk quiver]

yes there is, the AE and BD are intersecting

[round sparrow]

BD is not parallel with BC and CD

[slow parcel]

cd could look like this, only like with one degree

since you dont know for sure if those lines are parallel

[silk quiver]

ok i rest my case, if you don't want to read about opposite angles theorem bye hahhaha

[round sparrow]

I know the opposite angle theorem, it simply doesn't apply here since we arguably have 3 lines

[silk quiver]

why would they connect the 2 triangles if it's not straight lines tho.

[round sparrow]

Well they marked the other 2 as parallel, otherwise would have gone for for the opposite angle theorem too

[latent siren]

'Dirac' is ubiquitous in mathematics, what exactly do you mean?

[supple island]

dirac's notation for quantum mechanics

specifically i'm not understading this

[latent siren]

o fuck, bra kets

[supple island]

yup

[ember finch]

@silk quiver For an easier solution ofc you could take the Parallelity for granted, but in this case the problem must be taken from another POV

[latent siren]

I have long since abandoned this kind of notation, sorry. It's making my head spin.

[supple island]

don't worry, it confuses me a lot too

[latent siren]

I don't know why physicists do this. Why can't they stick to standard mathematical notation.

[supple island]

well that's because kets and bras don't actually represent vectors in qunatum mechanics

so we can't use vectors

[latent siren]

What does |x'+dx'> mean? I know it's supposed to be a vector

[supple island]

it's the ket that represents a state localized in x'+dx', where dx' is the infinitesimal translation

[latent siren]

I guess I need to brush up on my physics. 😅

[supple island]

quantum mechanics is very confusing ngl

[latent siren]

I kind of went back to it, but without all these braket mumbo jumbo. I slightly studied the phase-space formulation.

[left knoll]

Can someone help with middle term splitting

[left knoll]

Hi
Is anyone good with parabolas?

[left knoll]

Wdym

[left knoll]

Quadratic ews

Equations *

I can try

Please send it

[supple island]

what's your problem?

[left knoll]

Can I dm you? I may ask may questions lol

[supple island]

Sure

[left knoll]

Try w Makarenko

[frigid violet]

Uh, i need help

[left knoll]

I should find if the series converge(determine the value) or div but it keeps saying there are wrong answers and idk what is wrong help me T^T

[weary arrow]

Are you sure about the 2nd one?

[fair trellis]

@frigid violet Form two equations with x as Rosie's age and y as Ted's age.
5x=y and x+y =72
x=12 and y =60
Hence Ted's age is 60

[left knoll]

5x+x=72
facrorize:
X(5+1)=72
6x=72
x=72/6
x=12
Ted age=5*12=60
Rosie’s age=12

[left knoll]

The second one umm lemme see

[fallen crypt]

will do. thanks a lot :D

[frigid violet]

Really? I got thiry?

[weary arrow]

Been too long since I had this so I don't really remember how it goes but I feel it would be a bigger nr than just the first term

[left knoll]

I’m so lost man 😭

[fair trellis]

@frigid violet What are the formed equations?

[left knoll]

I got 60 too tho

[frigid violet]

This is what I got

D= difference in their age
R= Rosies age today
R+D= Ted’s age

Ted was Rosies age D years ago.
D years ago, Rosies age = R- D
Today, Ted age is 5 times R-D
R+D=5(R-D)

Rosie will reach Ted’s current age in D year.
In D years, Rosies age will be R-D
In D years, Ted’s age will be (R+D)+D
In D years, the sum of their ages will be 72.
(R+D)+[(R+D)+D] = 72.
This is part one of how I got it

R+D=5(R-D)

[weary arrow]

I think d) is wrong, just from testing on a calculator it gets a bigger nr than 4/5 pretty fast

[left knoll]

I think all the converge ones are false T^T

[frigid violet]

R+D=5R-5-D
6D=5R-5D
6D=4R
D=2/3R

(R+D)+[ (R+D)+D]=72
2R+3D=72
2R+3(2/3 R)=72
2R+2R=72
4R=72
R=18
D=2/3 (18)=12

Ted's age today = R+D = 12 +18 = 30

[left knoll]

I- y’all complicating the problem
Put rosie age=x
So Ted age=5x
The sum of their age =72 so
5x+x=72
Then solve!

[mental dragon]

Ted's age is 30 if you interpret the question this way. I think you are correct @frigid violet (don't overthink it 🙂 ).

In this pic, 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

In this interpretation, ted is not 5x older than rosie, ted is 5x older than rosie was when ted was rosie's age.

EDIT: to be fair, I think this was a very confusing problem

[fair trellis]

@frigid violet 30 is the correct answer.

[frigid violet]

Thank you so much!

[left knoll]

Oop misread the problem

Sorry

[fair trellis]

@frigid violet Sorry for the confusion

[frigid violet]

Oh no, you’re fine! Sorry for the burden

[left knoll]

Don’t mind the French for this series i found that it’s absolutely convergente and that it equals 0 but it says it’s false 😭

[left knoll]

Found them ty ❤️

[dim path]

kinda lost ngl

i dont know where to start

is this just a regular circle based off a cosine sine chart?

[neat vigil]

whos a civil engineer here?

[gilded pine]

a)answers is -sinx i^+cosx j^(since p is in 4 quadrant and sine is negative there and cos is positve there)
b)it can be anywhere on a point which is on the circle and also on the x axis.
hope this is crct:)

[dim path]

ty, had a speculation about b but you cleared it up

[gilded pine]

🙂

[left knoll]

student here

[neat vigil]

is it hard? you think a regular person would be able to become a civil engineer? i got accept it at UIC which is not a big deal I suppose but i dont want my parents to waste their money on me if I'm going to drop out, and also, I dont know if staring a computer for 40+ hours will make me happy even if i get paid well

[left knoll]

I'm not going to lie, it's not easy requires a lot of discipline. Especially if you want to stand out.

[left knoll]

But don't worry, it's normal to think that you won't be able to do it, I was also in the hole. So, the only thing you need is to dedicate time to it, you don't have to have a high IQ or anything like that, discipline is enough.

[left knoll]

🧐 how to become disciplined

[neat vigil]

it just idk if staring a computer as a job is for me... idk what are the job options fr a CE,

[left knoll]

If you wanna talk more, sent dm

[barren venture]

I don’t think the previous answer given was quite right, so I’ll write mine here, with some guidance on how you should be thinking about the problem.

(a) Consider the angle between P and the positive x axis. It is 2π - θ. We want to find the x and y coordinates of P. We can do this by drawing a vertical line from P to the x axis. This forms a triangle. From here, you can see that the adjacent side of the triangle has length cos (2π-θ)/1 = cos θ and the opposite side has length sin (2π-θ)/1 = - sin θ. (Reminder: - sin θ is a positive quantity here, because sin is negative in the 4th quadrant).

Putting this together, the x coordinate of P is the adjacent length cos θ, while the y coordinate of P is the negative of the opposite length -(-sin θ).

P = (cos θ, sin θ)

(Btw, this coordinate works for any part on the circle, not just the 4th quadrant! See if you can show that using the same method as above)

(b) a tangent of a graph is a line that “just touches” the graph at a single point. A way you can think about this is that if you’re standing on the curve, your line of sight is the tangent line.

The tangent having a value of 0 means that your “line of sight” is a horizontal line. So if you were standing on this circle, at which points will you have a horizontal line of sight? It’s the points that intersect with the y axis: (0,1) and (0,-1).

A sketch for (a), drawing on a phone is hard 😦

[dim path]

Oh okay, thank you that really helped me understand what was happening. Was extremely confused on the B part and you cleared it up, once again, thank you.

[left knoll]

I need your guys help I have 108 percent in my class the final exam is worth 50 points if I fail it will I receive a 93% in the classroom

[fossil wasp]

y =Ted x= rose
y=5x
y+5(5x) =72
5x + 25x = 72
30x = 72
x = 2.4
therefore y=12 years
Proof:
52.4 + 2.5*2.4 = 72
12 +60 =72
72=72

[patent rain]

whats the curve mean

[hidden pelican]

https://i.pinimg.com/originals/fe/a8/ef/fea8effd58e9389c69900caa4a7a7745.jpg

intersection

[quasi nova]

Hi guys how to improve calculation speed??

I'm preparing for CAT exam

[patent rain]

ohhhh ok

[flat bolt]

How do i explain k lesser than 2

[main yoke]

anyone know stochastic processes?

CTMC and DTMC

[weak silo]

first of all, see that K must be a positive integer, because the concavity of both curves are up

[silk quiver]

2>k>0

the greater the value of k the narrower the opening that's why k must be less than 2 and if k = 0 it will be a straight line so k must be between 2 and 0

[main yoke]

anyone

[left knoll]

intersection which is a subtopic of sets

[flat bolt]

Thanks

[flat bolt]

Xiexie ni

(which means thank you in chinese)

[robust prism]

@flat bolt are you malaysian?

spm questions!

[reef elm]

bruh @robust prism many malaysian here

[twin moat]

bruh

[robust prism]

hei

[twin moat]

woah woah woah

no toxic

[robust prism]

woowowow

cat yong r you a cat?

hi cat

durian

[twin moat]

hi yyds

can u teach me

[reef elm]

hi

ur pfp's a cat too

[reef elm]

yoo

[twin moat]

oh yea haha

[reef elm]

lolo

[twin moat]

hi i know ur profile pic !

[reef elm]

thats rico

[twin moat]

wow u know too

[robust prism]

is that nani

[twin moat]

oo u also know

[twin moat]

anyone can teach me

[reef elm]

lemme see

[twin moat]

nvm i knwo dy

[silk quiver]

the tip there is always extend the lines

[twin moat]

thx

[finite solar]

How do u calculate the square meter of that?

Can someone help please 😭

[silk quiver]

you mean the whole area of theses boxes?

[finite solar]

Yeah the total square meter of everything

The numbers are in centimeters

[finite solar]

It’s 260* my bad

[silk quiver]

this doesn't make sense, the length of the line is 250 but 100+160 is 260 tho

[silk quiver]

ok ok i'll try again

[finite solar]

Thank you so much!

[silk quiver]

i think you can only assume the area to be subtracted. like half of the first 100cm squre and 25% of the 2nd square

[floral marlin]

Hi! Can anyone help me with this problem: Calculate tan(2x) and tan(4x) if tan(x)=5?
I am thinking of this answer : tan(2*arctan(5))= -5/12, is this right?

[inland sigil]

Theres a formula to calculate tan(2x) from tan(x)

You'll have to use it twice for this problem

[silk quiver]

yes, this is right

[floral marlin]

is this the formula: 2tan(x)/1-tan(x)^2 ?

[inland sigil]

Yup I think so

[floral marlin]

i got the same answer, i think it's right! thank you both very much

[finite solar]

I dont get it could u explain that again if possible?

[silk quiver]

i mean you can only assume that 1/2 of the 1st circled square is inside the 260cm square and the 1/4 of the 2nd square is inside the 260 that's why you need to subtract it from the whole area

[finite solar]

Ohh okay but how do u calculate the total area of the whole shape?

Like that whole thing?

[ivory mesa]

can someone answer me a question? I was watching a video of English speakers on how to learn math from scratch and he started by saying that the first book I have to read is about discrete math
to start math with discrete math?
do you think it's worth it?

[left knoll]

Total area 168,700

[silk quiver]

just add the area of each squares. 100^2 + 160^2 + 140^2 + 100^2 + 120^2 + 140^2 + 140 ^2 + 260^2 +0.5(100^2) +0.75(100^2)

[left knoll]

İ agree with u, i found like ur

[silk quiver]

i'm getting 198,900

[left knoll]

I'll check

[finite solar]

The little cut between the 140 and 100 square at the top doesn’t matter?

[left knoll]

İ think I made a mistake.

[finite solar]

As in 168,700 cm^2?

[left knoll]

Yeah

But i'll check again

Oh okay @silk quiver u re right

İ forgot 160^2

[finite solar]

Ohh okay so 198,900 cm^2 which is 19.89 m^2 right?

[left knoll]

Yeah, it is

[finite solar]

Thank you so much 🙏🙏 @silk quiver @left knoll

Really appreciate it

[left knoll]

U re welcome ^^

[livid gull]

How did you do ?

[finite solar]

Oh cuz I think 1cm2 is 0.0001 m2 so I just multiplied 198900 by 0.0001

[livid gull]

Nevermind didn't get that u use , to separate not for decimal

[finite solar]

Ohh

[fading crest]

you know in quadratic graph questions when they ask for the "solutions", does that mean the points where the graph crosses the x-axis?

[regal galleon]

Yes, its the values of x where the value of the function(y) evaluates to zero and these points lie on the x axis

[fading crest]

ohhh ok

thank you so much!!

[regal galleon]

Np

[finite lodge]

I have problems in graphs ( polynomial and linear equations) can anyone help me in a stream

Class 10th

[silk quiver]

you can try https://www.desmos.com/calculator try typing an expression and change some things on it and see how the graph changes

[hearty tapir]

You can also use the application "Geogebra" 👍

[fading crest]

anyone know how to do the last part of the question?

[silk quiver]

it says write all the figures in calculator so the answer is 0.5459610028

[finite lodge]

Oh thanks

[finite lodge]

Thanks

[fading crest]

OOOOOOOOHHHHHHHH :0

OHOOHOHO

I GET IT NOW

thank you so much!!

[minor sluice]

How do I use the chain rule to find the derivative

I got both sides separated by a + sign ,I am just confused on how to finish it

After this point

[thick pine]

You already used the chain rule intuitively I guess - I think you're supposed to use it on the term (x-2)^4

So (x-2)^4 = u(v(x)) with u(x) = x^4, v(x) = x-2

[minor sluice]

I'm even more confused because according the solutions the next step goes to:

[thick pine]

Damn that's unreadable

Wait a second

[hearty tapir]

You r welcome

[silk quiver]

he factored out 2x(x-2)^3 because it is common in both terms

[thick pine]

I think there is a ^4 missing in the last one

Ah woops no @silk quiver is right

[minor sluice]

Thank you fellow J Cole fan

[minor sluice]

Thank you as well

[thick pine]

You're welcome

[neat vigil]

you still need help?

[minor sluice]

No I just realized you could factor it out

[silk quiver]

you're welcome bro. just stream off-season

[minor sluice]

Thank you though

[neat vigil]

aight bro np

you in calc class?

[thick pine]

We need MathBot#7353 for this channel

[minor sluice]

Not yet, in pre-calc rn

[neat vigil]

oh wow, i took that this year lol im in Ap calc ABlol

[minor sluice]

Ooh AP exams are coming soon

[neat vigil]

yes the 25th for me... i aint ready lol

[minor sluice]

Nah you will get through it lmao, hopefully it won't be too bad

[neat vigil]

shooting for that 3 lol

[fossil willow]

good luck! I'm doing my A-level maths exams as well

[mellow bramble]

someone can help me xd?

[simple grail]

Who finished studying Calculus 2?

[left knoll]

Not me I am struggling with series and volumes

[twin moat]

yes?

[surreal basin]

Hello can someone help me with this

[surreal basin]

Please

[dire dagger]

x=-3/2, x=3/2

oh wait

[latent siren]

Most people are quite hesitant to give answers to students who beg for answers.

Anyway, the answer should be 3sec(theta)=2x. Do you know why?

[dire dagger]

I miscalculated

for

use x=a sec

[analog wagon]

q.5 plz

[fading crest]

help 💔

[surreal basin]

Yes bro I know why , my only problem is that this particular item does not accept any answers I can think of and that is one of that

And no worries it is not a quiz whatsoever its a lesson with embedded practice questions . thanks anyways

[left knoll]

you have a certain number let it be x : so you enter x+x^2+x^3 = 182.267 then you write x^3+x^2+x-182.267 = 0 try to solve 🙂

tips : you can either factorise with usual roots, derivate and analyse the curve 🙂

[left knoll]

first you know that tan(arctan(x)) = x for every x. Then you will try to do 2 things first try to use either the squared of theta to destroy square roots, or trigo first to then use the squared of theta 🙂

mind that tan(a+b) = ( tan(a)+tan(b) )/ ( 1- tan(a)tan(b) )

[fading crest]

i havent learnt that-

it doesnt involves graphs its like a trial and improvement method

i thinkkk ... this question is different to the other ones

[solid anvil]

can someone help with grade 10 maths

[thick pine]

What do you need help with

[solid anvil]

Write down the total surface area of a square based pyramid having base side x cm and slant height y cm

[thick pine]

Okay so the total surface area is the square base + the 4 triangles right?

[solid anvil]

yes

[thick pine]

The base you can calculate easily, just use x^2

[solid anvil]

thx its so simple

[thick pine]

Now for the triangles on the side, you'll need pythagoras 2 times

[inland sigil]

Will they be right angled triangles?

I guess he can just use Heron's formula and multiply that by 4

[left knoll]

Hey, I'm not really a maths person

So my question is, can a person study math test thats 4 months away using only a study guide?

[thick pine]

Not all side lengths are given

[inland sigil]

So y is the slant height so I guess it'll be two sides of every triangle

And the third side of every triangle is x

[thick pine]

Ahh yep you're right haha

Never heard of that formula though, I always use pythagoras

[analog wagon]

But i tried to solve it using tan^-1 (x) + tan^-1 y= pi + tan^ x+y/1-xy . I applied this to the first two terms , simplify it to some extent n then applied agn to the resultant n third terms but it was cubersome to solve it further! so, could u snd the sol. Thank you!

[fading crest]

sorry

im stuckk

i dont know what to do at the part where it says " t > 15"

[silk quiver]

there's no train that is late for 15 minutes and above

i think you just write N/A or 0 there

[fading crest]

mhm! thank you i just figured it ouT :D

LMAO im stuck on another one- im so scared for the maths exam dude i didnt think i was this bad

[silk quiver]

send it here

i'll try my best

[fading crest]

thank you :)

[silk quiver]

a=41 and b =-9

wait i'll write the solution

[fading crest]

okk

[silk quiver]

5(7x+8) + 3(2x+b) = ax +13
35x+40+6x + 3b = ax +13
(41x) + (40+3b) = (ax) + (13)
41x = ax ; 40+3b =13
a= 41 ; b=-9

[fading crest]

AHHH

thank you so much :0 oh my gosh i didnt really understand the markscheme but i get it now

[torn torrent]

Can someone solve 2 b

[night flint]

I have no life oyur my hero

you're