math-help

[left knoll]

@ivory pumice

And why is it -1 suddenly??

[ivory pumice]

it's (X - (1/x))²

@left knoll

[left knoll]

please write it out on paper for me if you are able to 😅😅

[ivory pumice]

Ok wait

[dusk dust]

Is someone familiar with statistics and able to explain the concept of expected values? I'm having trouble wrapping my head around the concept of the E. these formulas are for discrete probability distributions

[heavy zenith]

think of expected values kind of like an "average over long period of time".

If I buy a lottery ticket that will win me $10 with a 50% chance and $0 with 50% chance, my expected return on my lottery tickets is $5.

Dont think of "E" as a varialble. E is just there to denote the word "Expected".

it may be easier for you to think of E(X) simply as an average for now.

[tiny trout]

Yo could someone help me with statistics and probabilities?

[heavy zenith]

what's your question

[drowsy rampart]

Would anyone lend me a hand?

[drowsy rampart]

It's about Partial Fraction

[ivory pumice]

From previous step

In RHS

[north trellis]

Could someone please help me

Write an equation equivalent to the equation below :

3m + 8m = x

[drowsy rampart]

THANK YOU

[left knoll]

You’re welcome

[last echo]

cuz u r squaring the whole equation

[dusk dust]

Thanks, I struggled to grasp the concept but this made it a lot easier. Have a nice day!

[lilac kestrel]

Guys how do i find x?

[heavy zenith]

no problem!

[regal plume]

forget about x and think about ur future , ur ex already forgot u so focus man focus

[heavy zenith]

try to factor out the like terms in the variables. the equation is saying that this function is equal to zero when x is equal to some value.

[lilac kestrel]

oh okay

but the possible numbers are endless tho.. right?

[heavy zenith]

nope

there's two distinct roots

[lilac kestrel]

wait no thats not what i meant.

i meant like the endless numbers i can use to find the vaule

sketched on a graph the point is -4.1

but the question asked me to write down all the steps

[celest geyser]

can you send the question please

[lilac kestrel]

its in german

[celest geyser]

Its ok go

[lilac kestrel]

okok

that and this

are my 2 problems i have that idk how to solve

[rose acorn]

its a Irrational number -4.0494...

[lilac kestrel]

how did you get that

[left knoll]

I see where I went wrong 😭 thank you 🤣

[ivory pumice]

Np

[left knoll]

Sorry,my brain was lagging lmao
Thanks though

[lilac kestrel]

wait how did you get that

[lilac kestrel]

how did you get -4.049

[rose acorn]

u gotta make it simple until u get to (X**2)(X+1)=-50

[lilac kestrel]

-50?

i got it to 50 on the other side

[rose acorn]

the x should me negetive dont u think that

[rose acorn]

X^3+X^2+50=0 the u factor a X^2 and u get to this

[rose acorn]

idk how to simplfy this so i just start with random numbers

but someone should know who to solve this x^2(x+1)=50

[lilac kestrel]

yea i got to x^2(x+1) = 50

and that is where i got stuck

first i used the abc form but that wouldnt work

[tranquil vigil]

Heya, just finished with my exams (studying teaching math 1st year). I'm happy to help you in high school math with free one-on-one tutoring if you need it. Just send me a DM if exam stress is lurking on you

[left knoll]

I thought of it this way (my bad the first number is 0*2^0 and the total is 14 lel)

[silver marlin]

ig in question it is given 012

so the answer would be 0xA

if thats from right to left like 210 then it would be 0xD2

[left knoll]

unsigned int is 8 bits right?

at least

so you have b7 b6 b5 b4 b3 b2 b1 b0

if you turn on just bits 1 2 and 3 you get

00001110 in binary = 0xE in hexa = 14 in decimal

[rose acorn]

@lilac kestrel

[rose acorn]

@lilac kestrel this is the full awnser

[lilac kestrel]

holy cow

thank you so so so so so so so so so so so much @rose acorn

[rose acorn]

❤️

[lilac kestrel]

<3333333333333333

did you do that by yourself? or is there an app?

[celest geyser]

No -50

[celest geyser]

Smart

[lilac kestrel]

bro sent me a whole shrek 3 transcript as an answer for my math question

lol

[lilac kestrel]

yo ummm

i have another question

i have this function right

x^6 = 6048, k >0, how do i find K?

small k*

[fallen bridge]

This is the perfect place for me..... Im terrible at math

[left knoll]

I GOT IT YES!! So the first step you have to do is apply the binomial theorem. And then you simplify it and one term from the sum contains x^6. The coefficient of x^6 is equal with 6048. This would easily give you k

[scarlet scroll]

hola q tal

me ayuden con mi tarea de mate ?

lR

[languid belfry]

Anyone know how to understand this?

[modest compass]

took me a while but yeah lol

[languid belfry]

Cool, mind telling me how?

[modest compass]

sigma adds different results for the function, so in this case it would add 1/2^2n for every value of n from 1 since that's the starting value if that makes sense

that's why the meme ends up repeating infinitely

[languid belfry]

So they add up the sides infinitely and it equals one? Or area?

[modest compass]

nah it would equal infinity, since infinity add any number is just infinity

i think the 1s around the edge are just there for the starting value

[languid belfry]

Ok and the three?

[modest compass]

i'm presuming that's to multiply

be sure to ask someone else tho i'm not entirely sure but that's what i think anyway

[languid belfry]

Ok thx!

[modest compass]

np man 😁

[left knoll]

hey ,can someone pls quickly help me with this ( + working out)

[silver marlin]

no unsigned int is 4 bytes but it just says that the user input or the numbers we use are lies after zero like we dont need the negative numbers so yeah its just 4bits with all Z+
(note : you said in bits but 1 byte is 8bits so the size is said in bytes )

[north schooner]

if u have any doubt feel free to ask

[left knoll]

The 3 ,where is its coming from 😅?

Thé -1?

Oh nevermind lol

Sorry,I’m not sure how you did the first line

[north schooner]

oh, well it is an identity

[left knoll]

I don’t think I’m familiar with that … 😅

I’m familiar w this

[north schooner]

https://youtu.be/miKoWY8q438

[north schooner]

oh, actually both are correct but the ones in the picture are mostly used when we want to find out factors

[left knoll]

thank you

We haven’t learnt that yet so,not gonna stress too much about that for now

Thanks for your help though

[north schooner]

welcome :)

[north schooner]

let me send u a solution which uses this

[left knoll]

Also random Q,if stated that pi = 22/7,do we say that it’s true,and why?

[left knoll]

Thank. You so much

[north schooner]

well the actual value of pi is 3.1415926 but when u divide 22 by 7 u get 3.1428571 so only the first 2 digits after the decimal match. But in day to day problems we only consider the value of pi to 3.14

[pine raft]

basically, you prove that the equation is true by dividing a 1x1 square into smaller squares (and the squares show the frames of the meme), and computing the area in two different ways.
so, for example, the 3 biggest squares each have side equal to 1/2, so they contribute in total 3 * (1/2^2) of area. the next 3 smaller squares each have side equal 1/4, so they contribute in total 3 * (1/4^2) to the area. going on like that, all in all, the squares which have the frames of the meme have an area of:
3 * (1/2^2 + 1 /4^2 + 1/8^2 + ... )
which is the same as the sum anakin talks about. but also, we were working on a 1x1 the whole time, so the total area is 1. therefore, that sum must also equal 1.

btw i saw someone say the sum adds up to infinity. that's wrong. it adds up to a finite value: 1.

[left knoll]

Ahh I see
thanks again !

[north schooner]

Welcome!

[karmic wyvern]

Guys pls solve these problems...really need your help

[ivory pumice]

No test questions #rules rule 5

[left knoll]

I solved till this step but dunno what to do next :(

[warm notch]

19th any1???

[tiny trout]

Wassup G’s i am blocking at this question does anyone know the solution ? Its in french i will translate it

Or a bag containing pills of different colors (red and green) and shapes (spherical and cylindrical). The pills in this disease cure bag are red and spherical. P Mark question Te 1. In this bag, half of the pills are spherical of which n are green, while the cylindrical pills are green. at. The probability of pulling a red pill out of the bag is 0.3 b. The probability of pulling a green pill out of the bag is 0.3 tsp. The probability of pulling a healing pill out of the bag if the pulled pill is red is d. The probability of pulling a healing pill out of the bag is 0.1 Precision: Round your results to the 1st decimal place. 2. Suppose the bag is made up of 10 pills, 5 of which are red and 4 of which are spherical. at. The probability of taking 2 healing pills simultaneously is b. The probability of taking 2 healing pills in succession without discount is

[eager coral]

i understand the question of it but why is there a ",dt" at the end there

[tiny trout]

Anyone knows how much its gonna be ?

How much is 175!

?

[glacial robin]

Does anyone like to find a particular solution for linear differential equations of the second order by selection?

in here

[left knoll]

help i cant use parenthesis here and the operations given are +, -, * and /

[glacial robin]

-/

minus multiplication division multiplication

[left knoll]

yeah figured it out thanks

[stuck girder]

How do we know which are included or not included?

[left knoll]

if the coordinates on the graphs itself correspond to the given equations

[stuck girder]

Thanks you ;D

[left knoll]

np

[left knoll]

Hey guys I need some help

I believe x, x+1, x+2, are the sides of the triangle, I've tried solving it but I'm not getting any of the choices

Can someone explain please :3

[ivory pumice]

3x+3=12

[proper sonnet]

Area = 6

[ivory pumice]

X=3

Yes area is 6

[proper sonnet]

a=3, b=4, c=5

[left knoll]

Oh oh I know this theorem what's it called again?

H something

Thank you guys!

Ah I'm so stupid I misunderstood the question

I forgot I was solving for x and assumed the sides were 3 😭

[ivory pumice]

Well sides are 3,4&5 you can see it's right angled triangle so area would be 12/2 (PYTHOGORUS THEOREM)

[left knoll]

Yeah thank you, I appreciate. it

[proper sonnet]

yeah, it is easier way.

[last echo]

but yea, dont forget to mention y it is a right angled triangle

[wide idol]

Anyone know how to do a and b?

[left knoll]

the image is just a visual proof of the sum, you can notice that the edges of the big square are equal to 1, then a small square's edge = 1/2. the first term of the sum is 1/4, multiplied by 3 gives the first big 3 squares, and from recursion you continue with the rest of the squares, going to infinity. however, their total sum is equal with the area of the big square, which is 1

[left knoll]

it's pretty straightforward, you just have to replace p in each of them, a) is square root, b) is inverse

@wide idol if you are not sure, show me how you tried

[wide idol]

I got it, thank you though!

[vast scarab]

how to integrate xe^(x^2)?

im dying

[fervent tide]

have you tried integration by substition?

[vast scarab]

not yet

wait

is it 1/2(e^x^2)?

eh no

upper limit is 2, lower lim is 0

[fervent tide]

the indefinite integral is 1/2 e^(x^2), yes

[vast scarab]

thankss goddd

so sub the limit is it

[fervent tide]

from there, calculating the definite integral shouldn't be too hard, and it comes out to ||(1/2)(e^4 - 1)||

[vast scarab]

ohh ya

got it

thanks!!

😆

[fervent tide]

👌

[left knoll]

Can anyone help me with this?

[fair trellis]

It's a homogeneous eqn so sub y=vx and simply @left knoll

[lilac granite]

Can anyone help me to solve this problem?

[left knoll]

I did that but i got stuck in the middle may be i did something wrong in simplification, anyway thanks :)

[fair trellis]

@left knoll

[left knoll]

ah shouldn't we just keep that as ln|x| + C?

[fair trellis]

@left knoll We can

We usually take the ln of constant while solving for particular solutions na

[ivory pumice]

Use Sinc -SinD =2 sin (c-d/2) .cos(c+d/2) & cosc +cos (D) = cos(c+d/2). Cos (c-d/2)

You will get Tan(b/2)

[left knoll]

Ahh Thank you so much for your help!

[fair trellis]

@left knoll Np :)

[stark karma]

uh does anyone know how to do this?

1 day b4 test i panickng

[viral locust]

V=integral of pi y squared dx

[stark karma]

why is it pi when its asking for a square?

oh to revolve around or somthin

[viral locust]

It’s not a square

Revolution around x axis

Just think about it and try to imagine how the shape looks like in 3D

Answer is D

[stark karma]

its actually A

[viral locust]

Then something went wrong

The wording of the question is strange

[supple birch]

no..it said base of the solid

[viral locust]

Oh I see

[stark karma]

why dont u square it tho

in this example i have they square it:

[languid belfry]

Thx!!!

[serene forum]

you should understand what the integral does. All it does is takes the interval that you indicated, divides it into infinitesimal parts, and then sums all the parts. In the problem, it's said that cross-section is a square.

The value 3 - 3x^(1/3) gives the height of the cross-section. But we know that the height equals the width because this is a square, so we can square the height and we will get the area of the cross-section.

But what is volume? Volume is the sum of all the areas of the cross-sections (i. e. integral) that's why you should square it, and integrate with the given boundaries.

[serene forum]

Now if you return to this question, the cross-sections are no longer squares and you cannot just simply square the value of the function. But you are given a height of a solid, and you know the width — sin(pi/2 * x). As the cross-sections are rectangular, you can find the area by multiplying the width by the height. Then again, to find volume, you integrate the expression for the area within the given boundaries and get the final answer

[stark karma]

@serene forum omg genius. I understand, thanks!!!!

[serene forum]

You welcome!

[pine dust]

Can I add my integration problem I have?

Hello

[wary parcel]

Hi, is there any math resources you guys can recommend for self studying? I'm taking algebra 2 after this summer and did pretty horribly in algebra 1 because of all the holes I have in math. Any resource free or not would be appreciated

[mental dragon]

Not sure if you'll find algebra 1 content here, but I recommend Paul's Online Math Notes. https://tutorial.math.lamar.edu/Classes/Alg/Alg.aspx

[serene forum]

sure

[nimble kindle]

Hi

[wary parcel]

Awesome! I'll check it out!

[sonic laurel]

😭😭😭you are not totally implicated in your exercise 😭😭😭😂

[lunar atlas]

hey guys

trying to finish this calc 2 homework, stuck on a couple problems

Not sure what I’m doing wrong

[agile sundial]

yeah fr fbro ik dawhat ur sayoign !!!!

[exotic dust]

So sussy!/$&/9:;

[agile sundial]

brhuh!! auh !!!! ydou are a so sussu

[exotic dust]

HhjjsjajsjfjsodhabnSj😫👀😫👀📈😔🧬😎📉👏🤬👏😋🧬👏👩‍🚀jsjanajaksjd

👩‍🚀👩‍🚀👩‍🚀

[agile sundial]

ong bruhaha!!!

[exotic dust]

[agile sundial]

i needa helpa with da mathematik!!!! whtta is 2+2??? pls splsplsplss

[exotic dust]

So sad

[agile sundial]

multiple sources say 2+2 =4

[exotic dust]

I disagree

[agile sundial]

me when royale panda doesnt send da video '

[exotic dust]

Yeah

😔😔😔

[umbral swift]

Someone would can tell me a good software to write my math equations? I don't know if matter I say this, but I don't have digitizing table

[mental dragon]

can you explain what you are trying to do? Are you trying to do calculations or just type out equations?

[umbral swift]

Equations, like division of polynomials and things like this than need big space, I want one software to replace my notebook, I don't want spend it cuz less notebooks I spend less tree will need be cut

[mental dragon]

I see. And you don't have a tablet, correct?

[umbral swift]

Right

[mental dragon]

I know math students who use LaTeX. Have you tried it? It's takes some practice to get started. But the students I know who have become "fluent" use it without problem.

I used overleaf to write math homework occasionally https://www.overleaf.com/. It's is browser-based and I like it much more than other LaTeX softwares (like Miktex, WinEdt, etc.)

[umbral swift]

I've saw some pictures, it looks like good, I will try it tomorrow, thank you so much!!!! Have a nice day!

[mental dragon]

Hope it works out for you! I will again emphasize that it took me a while to become proficient so there is some start-up cost : ) But I don't know of better options.

[minor scaffold]

did you finish this Q? fwiw, i think your last answer is correct but for the rounding (i got 1.27 ft)

[obsidian jetty]

https://cdn.discordapp.com/attachments/780717712342908940/857455565227556925/Notes_210624_083159.jpg

[lunar atlas]

no i didnt finish but i have one last try so im going to double check before i try that

[minor scaffold]

dunno if is helpful but i can write up my thought process before i 😴

[minor scaffold]

hopefully u can make out my handwriting; kept the units in there to show they check out at least dimensionally

[minor scaffold]

did u figure this out?

[left knoll]

Multiplying and dividing by 2sin(pi/7) should help

[obsidian jetty]

OK thanks I'll try

[obsidian jetty]

Hey bro why 2sinpi/7 I think it should be just sinpi/7

[left knoll]

Did you find the answer without using 2?

[obsidian jetty]

Yea I did within a min bcoz after I used just sinpi/7 in the end... I got : ½sin[pi-(pi/7)]/sinpi/7 the expression got cancelled out and I got ½

[obsidian jetty]

Thanks to you tho.. I just modified what u told me.. I used sinpi/7 instead of 2sinpi/7...and I got the ans.. Thanks man

[left knoll]

Oh if you got it then its fine ig, i thought of 2sinpi/7 bc you get to use sin(a+b)-sin(a-b) and everything gets cancelled out.

[left knoll]

Np:)

[covert anchor]

am

[obsidian jetty]

Yea I got anyways thanks

[covert anchor]

how do i find am

[ivory pumice]

What is M , midpoint?

[serene forum]

(a) Find the derivative of your function and find its value in x=2, this will be the value of m. Then you have a condition: at point x=2 the value of the function is equal to the value of the tangent, then you can find the value of c.

(b) Integrate your function from x=2 to x=4, this will give you the area under the graph. You don't need all the area under the graph so you should subtract the area of the triangle that results between the tangent, line x=2 and x-axis. The result will be your answer.

(c) Check a couple of messages before yours, I've explained how to find the volume of such objects. There will be two differences: 1) in your case cross-sections will be circles; 2) you are already given the volume and you need to find upper boundary, but that's almost the same thing.

If you still have problems feel free to ask anything.

[covert anchor]

m is the midpoint ofbc

[ivory pumice]

In ∆ABM , BM = BC/2 = 16/√2 , AM²+BM²= AB²

AM²+ 16²/2= 16²

AM= 16/√2

[serene forum]

you are not given the angle ABM (not necessarily 45 degrees), so you cannot simply say that BM is 16/√2

you can find AM with a system of equations

[ivory pumice]

Um AB=Ac is given

& angle BAC = 90

[serene forum]

oh yeah my bad, you're right

didn't notice BAC angle

[pine dust]

Ah I see.. thank you so much, i really appreciate your efforts to help 😄

Now I understand how to do this

[fast nacelle]

Can someone help me

How much will be this

[ember kernel]

100 - 2*15 - 30 = 40

The angle is 45° and on the right you see a symmetry along axis z (20 and 20) THUS there's also symmetry along axis x

thus the length you showed is 40/2 = 20

[supple island]

i wouldn't assume that the angle is 45° if it's not given

[hazy ocean]

You don't have to assume a 45° angle. Like @ember kernel pointed out, the height of the large right angle triangle is 40 from the right figure and the base is 40. So that makes it an isosceles and right angled, making the angle 45°.
And as for getting the required length, you just use similarity. Because the height is divided in half (id est 20-20), so will the base. So that's 40/2 = 20

[left knoll]

hi does anyone know how to do 6B and 6C

[honest socket]

Good question

To have a real answer, you need have a math more advanced

[left knoll]

just some ideas: 6B. sin(A)=sqrt(3)/2 => A=60=pi/3, and here is the theory about quadrants https://amsi.org.au/ESA_Senior_Years/SeniorTopic2/2d/2d_2content_2.html . we also know that sin(x+2 k pi)=sin x, for every integer k. 6C. is just an extension of B

[supple island]

yep but i didn't know if the figure on the right was actually comparable to the one on the left

[hazy ocean]

Oh right. I just assumed they were related like normal engineering diagrams, and also because they had the same figure number..

[supple island]

that's fair, i'm not used to engineering diagrams and the lack of measure units didn't help me 😅

[austere lark]

Good evening

Anyone free here to help me in algebra?

[little iron]

i can try if you send the question

[scarlet carbon]

hey anyone have some good material or know someone's YouTube handle that could teach / help me out with Maths straight lines chapter 11 JEE . sorry to trouble you. i am having trouble understanding the "language " or " wording " of the question .

ik it sounds lame to not understand the " language " of the question

[north schooner]

mohit tyagi/unacademy [sameer chincholikar] with study material from coaching/cengage/arihant should be great

[scarlet carbon]

@north schooner thanks dude will check it out .

[north schooner]

best of luck 👍

[solemn sphinx]

Can you post your queries here? I'll see if I can help out

[austere lark]

Im done hehe thankss

[solemn sphinx]

Great! You're welcome!

[granite sierra]

hi everyone i have a question

there are 3 non-parallel lines that form a triangle

and i need to prove that the area of the triangle is

can any of you give me advice on how to tackle this?

[little iron]

vedantu youtube videos are also good

[nimble kindle]

Hi chai

[livid spindle]

4x + 1 = 7x - 2 find all solutions for x

[scarlet carbon]

specific teacher you think could be good for maths ?

[left knoll]

4x+1= 7x-2 or 4x+1= 7x-2
+2 +2 3=3x
4x+3= 7x x=1
-4x -4x
3=3x
x=1

[left knoll]

hello guys can someone help me with this

[proper sonnet]

is it math? i think it is more business

[left knoll]

math assignment but idfk lmao

theres more about working

wait

pls help imma die

[little iron]

i think in vedantu there's one named neha? usually i understand her videos

there's one named harsh also, i think he's doing live classes rn but im not sure if he's doing straight lines

[scarlet carbon]

no worries i will watch some old recorded vedios of those teachers

thanks tho

[proper sonnet]

I found this example

[ivory pumice]

Ummm, I used to have some probs with wording in 11th aswell , but I used to ask what does that mean to my teachers or classmates , that helped alot , I don't think you need to watch whole lecture, If you know the theory , just do some questions

[left knoll]

ah tysm ill try to do it but im so clueless rip

[proper sonnet]

2.1
$3 500 * 0.2 = $700
$700 * 0.12 = $84
$84 *0.08 = $6.72

Total discount is $790.72

Net price = $3 500 - $790.72 = $2 709.28

2.2
the same with Supplier B (I can be wrong) Check twice before submission

2.3 take whose discounts are better

[left knoll]

okey thank youuuu very muchhhhhhhh

[proper sonnet]

3. single discounts for A = 20+12+8 = 40%

[scarlet carbon]

yeah i will try that

[left knoll]

epic, can understand better than my teacher

[proper sonnet]

but i am not sure 100%, I am relied on example I found.

[left knoll]

its fineee it makes sense so i hope it should be correct

better than not doing anything 😂

[sharp ferry]

Mohit tyagi would recommend

[proper sonnet]

4.a
3% within 15 day, net 30 if recipt is before at least month.
$250 * 0.03 = $7.5
Net price = $250 - $7.5 = $242.5

4.b logically, he'd not get a discount. no saved money.

[left knoll]

ahh very helpfullll tyty

[proper sonnet]

5.a 12 October + 15 days = 27 October expires
b. 28 October + 1 month(from example) = 28(?) November
or if with 3/15 EOM then 12 November
c. your opinion

[left knoll]

poggers

[unreal mirage]

Can anyone explain how to calculate sin and cos 75s?

[keen nova]

You can write them as sin(45+30) and cos(45+30) and apply the formula of sin(A+B) and cos(A+B) respectively

[unreal mirage]

Is there a way to do it by putting the triangles together geometrically without the formula?

[keen nova]

By doing construction also you are left with a 15 degree angle, then log will be involved

the simplest method is to use the formula

[honest socket]

Good afternoon

[lunar atlas]

thank you so i did it right i just didnt round, let me try and enter this hopefully its right

it was right! i just didnt round smh

[minor scaffold]

Lol awesome, I get so frustrated when this happens to me

[minor scaffold]

I spent like an hour banging my head against a problem today to realize I got a sign backwards 🤦🏽‍♂️

[lunar atlas]

rip its so frustrating

[lunar atlas]

What am I doing wrong for the upper bound

I plugged in all the numbers

[livid spindle]

thanks

[candid rivet]

isn't K equal to 1 ?

[lunar atlas]

Is it 1 for all problems? I just assumed I would use the number I found previously bc that’s what I do with the trapezoidal rule idk

[ember kernel]

Context ?

[frail nova]

I see both of them right

[candid rivet]

K is a positive real number such that | f''(x) | =< K

for x between a and b

so we donc always have K=1

[frail nova]

I cant understand that anybody help

[vale wyvern]

I am stuck with this, help me please
Ty

[frail nova]

@frail python

[frail python]

what do you have to do here? just simplify it?

[frail nova]

I cant understand it

[plain terrace]

It's a normal quadratic equations

What's their to understand

[frail nova]

I cant understand what p represent and k

[plain terrace]

Their r constant

Like 2, 3

[frail nova]

Like p represent primary number?

Or any random number?

[plain terrace]

Any random number

I will explain

[frail nova]

Oooooh

[frail python]

now i am confused. isn't it a variable?

[frail nova]

And k is also any random number?

[plain terrace]

Yeah

[frail nova]

Ooooh

Cool

Arabic?

Yo abhu?

[plain terrace]

No

[frail nova]

Arabic?

[plain terrace]

I m Indian

[frail nova]

Oooh

[frail python]

but are you having trouble solving it?

[frail nova]

I thought your arabic so we can comunicate better

[frail nova]

No
This was a rule and i didnt under stand what P and K represents

[plain terrace]

I think this is just an example

[frail nova]

No worries abhu helped me thanks anyways

[frail python]

i have never seen that a and k thingy. well, if you understand it now, that great

[frail nova]

So i gtg study thanks both of you

Cya

[plain terrace]

Best of luck

[left knoll]

You need to use the properties of abstract values. You know that |x|>=0, and from there you get 2-|x|<=2 and 1/(4+|x|)<=1/4. You multiply these 2 and you know that square root is >=0 and the final answer should be (3)

[vale wyvern]

Ok ya now I understand that
Thank you:purple_heart:

[frail nova]

Anyone help me to solve these

Every problem is not related to others

Idk how to use the stupid rule

[frail python]

uhhhh

i am really bad at explaining

but i can show you how i did them @frail nova

[frail nova]

Yeah sure

Its the way i understand

Cause i dont understand the explaination

I cant understand it in anyway

So looking at the solved problem with the details helps me

[dusk dust]

And then everything in brackets you multiply by the -2 and you can draw the parabola

Thing to remember for the quadratic equations (The small 2 next to the x or the brackets) is that it simply means times itself

So 2 to the power of 2 is (2x2)

2 to the power of 3 or 4 is (2x2x2) or (2x2x2x2)

[frail python]

Hopefully this helps you, but I am not sure it's what you're looking for

[fallen bobcat]

Arab ?

[frail nova]

Yeah

[fallen bobcat]

Ya saf 😭

[frail nova]

Thanks very much i cant say how im thankfull man/ma'am

[frail nova]

Why you asking?

[fallen bobcat]

Why can't I ask you?

[frail nova]

You can but why you ask?

Is their is a tepichal reason ? Or just curiousity

Anyways gtg

Cya

[fallen bobcat]

Curiousity

[frail nova]

Its kinda rude to tell arabic people to stay safe

Cause their arabic

[gritty shale]

Can some1 help me solve question 32?

Threads is solve the equation

[proper sail]

Can someone help me with 17

[ivory pumice]

dy/dx at x=0

dy/dx = e^(2x²). 4x

At x= 0 it would be 0@proper sail

[proper sail]

OK thanks

[plain terrace]

Plz correct me if I m wrong somewhere, I hope this is gonna help

[left knoll]

Hey guys,what does that mean/how do i apply it to the question?

İt is 45°

[left knoll]

What do you mean ? What is 45 degrees ? 😅

Ohhh sin

Yeah

So how is it relevant to the question ?

So that angle is 45 degrees.

Ahhh I seee I seee

LOL

🤣

I didn’t even notice it lol,thank you

Dont worry

Ahhahah

[minor scaffold]

Anyone here doing probability? Was wondering if anyone could corroborate my approach to 1(b)

[minor scaffold]

Here's my solution, but not sure I can do this "pattern recognition" with the MGF of Bin(n, 1/2) or separate out the expectation when the series is infinite...

[minor scaffold]

So the answer is correct, but I'm more interested in knowing whether I violated anything important in my approach

[left knoll]

You can either use series or integer with the definition of E(.), but i don't see a major flown, but it's not as i expected it. Try (if u want to do a formal demonstration) to come back to the definition of the E(.) function, then applied it to the indep variable Xn and try to conclude by demonstrated that the definition is fitting (E(.) is existing or not ? (is the integer convergent or not)) if not ... conclude. Then you will understand why c) question is using Law of Large numbers ... cause with analysis ...

And it will be more apropriate than saying an E(.) is infinite in your gain / or loss problem

[gusty vault]

Any help?

[steel plover]

can someone take a look at this for me? the answer is supposed to be
sqrt2 sin(x - pi/4)
not sure where I went wrong

[hazy steppe]

I'm not sure

[quasi bridge]

Take 3x as α
cos⁴α + sin⁴α = 1
(cos²α)² + (sin²α)² = 1
(cos²α + sin²α)² - 2sin²αcos²α = 1
1 - 2sin²αcos²α = 1
2sin²αcos²α = 0

4sin²αcos²α = 0
You can use sin2α = 2sinαcosα after this

[quasi bridge]

it's seems correct to me

[steel plover]

anyone?

[hazy steppe]

I think is -c in the second step

I'll try to write

[steel plover]

thank you!

[hazy steppe]

No problem

[deep horizon]

Can anyone please help me with this?

[solemn sphinx]

What's the complete question here?

[deep horizon]

Sorry 😅

[solemn sphinx]

No worries. Will try and solve this.

[deep horizon]

Thank you :)

Just one question. I assumed 1/2x+3y as U and 1/2x-3y as V

oh well

thanks ill try that

[solemn sphinx]

Just make sure to use the correct signs, since it's 3x-2y

[deep horizon]

Got it, thanks for the help! Can i send another question? i dint know whether i could assume something or solve by another method

[solemn sphinx]

Sure, send it

I'll send the solution for this one as well

[deep horizon]

The first equation seems incomplete though. im not sure if its just "=0" or something else comes there

[deep horizon]

👍 😃

[deep horizon]

Thanks a lot Myst!

[solemn sphinx]

It does seem incomplete. What was your solution? It can be cross referenced if needed.

[solemn sphinx]

You’re most welcome!

[deep horizon]

gimme a minute

Well if it is =0 then we can solve by substitution? The first eq i mean

Bit of a big process though...

[solemn sphinx]

No, substitution cannot be used here. It can be solved by placing variables on one side and constants on the other side.

It must be having a constant though. It will just be lengthy, but not tricky to solve

[deep horizon]

Oh! well im getting the 1st eq to be 3x-4y-5=0

is that right?

[solemn sphinx]

Yes, correct

[deep horizon]

So um if i do the same thing with the 2nd eq ill get a simpler form of it...?

[solemn sphinx]

Yes

[deep horizon]

Hey! im getting x=4,y=-2

[solemn sphinx]

Based on these equations, assuming there is no constant before =0,
x = 153/31
y = 76/31

[lunar atlas]

Anyone know wtf I’m doing wrong spent an hour on this fkin problem and I got it wrong again going to bash my head against the wall

[ember kernel]

Euler's explicit method is the following :
U[i+1] = U[i] + h * f(X[i], U[i])

Where:
i is the iteration indice
U is the estimation of y
h = 0,2 is the step
f(x,u) = x²+xy is the partial derivative of y along the x-axis (here, f = X[i]² + X[i]•U[i])
We start with X[0] = 0 and thus U[0] = 3
We're going to y(1), thus we need to find U[5] (because 1/0,2 = 5)

Euler's Explicit Method :

(x=0) U[0] = 3
(x=0.2) U[1] = 3 + 0,2•(0² + 0•3) = 3
(x=0.4) U[2] = 3 + 0,2•(0,2²+0,2•3) = a
(x=0,6) U[3] = a + 0,2•(0,4²+0,4•a) = b
(x=0,8) U[4] = b + 0,2•(0,6²+0,6•b) = c
(x=1) U[5] = c + 0,2•(0,8²+0,8•c)

I'm getting a = 3,128 ; b = 3,41024 ; c = 3,8914688

Thus y(1) ~= U[5] = 4,642103808 ~= 4,6421

Check my answer and tell me if it's correct. If it isn't, I'll try to solve it using programs

@lunar atlas

[pulsar turret]

Can anyone help me with this, please?

[pulsar turret]

I don’t understand how d is the answer

[left knoll]

Since x ll y so the third angle of the triangle will be equal to c (since they are alternate angles

[mental snow]

the third angle in that little triangle will be c as well

[light snow]

should be clearer now

[pulsar turret]

It is. Thank you

[lost galleon]

hi

[pulsar turret]

I see, thank you

[pulsar turret]

I understand now thank you

[lost galleon]

any one here Know the limits?

[serene forum]

can you send the problem? Maybe I could help

[slate wolf]

Whats the answer for the 4th one?

[lost galleon]

ok

lim x->0 x/sin5x

= 1/5

ok

lim 1/sin5x
x->0

?

[crude crag]

Help me pls. (Discrete Math)

[ivory pumice]

Infinite?

Well no , limit does not exist

[lost galleon]

does not exist or zero

[ivory pumice]

Does not exist

LHL is not equal to RHL

[lost galleon]

lim 5x^3/sin^2 x *tan^26x
x->0

[lost galleon]

This is the real question

[ivory pumice]

Is this the question?

[lost galleon]

im sorry

lim 5x^3/sin^2 x *tan^2 6x
x->0

[ivory pumice]

Oh tan²(6x)

[lost galleon]

yeah

[ivory pumice]

Ok wait lemme try

[lost galleon]

I'm here

[ivory pumice]

What is the answer?

[lost galleon]

Haha that's the question

[ivory pumice]

Well is the question correct

[lost galleon]

If you don't know..you don't have todenominator

Thanks for trying

[ivory pumice]

I think there should be another x in numerator

Am getting limit does not exist sed

[ivory pumice]

In this case it limit would be 5/36

[lost galleon]

Me too... In a little while, I will go to class and the teacher will solve it

[mental snow]

Q4 - (C) ?

[lost galleon]

@ivory pumice ❤️ ❤️

[mental snow]

hey

is tan in the numerator or the denominator?

[lost galleon]

denominator

[mental snow]

and that is a sin squared x

[lost galleon]

@mental snow same as this picture

[mental snow]

ohhh

ok thankyou

sorry i didnt see that

[ivory pumice]

Um that is tan²(6x) in denominator , pls correct that

[mental snow]

yeah

[lost galleon]

But it has one flaw

[mental snow]

okay...

[ivory pumice]

?

Ohk

[lost galleon]

tan²(6x) Not like what was written in the picture

[mental snow]

then the limit won't exist

as there is x in the denominator still

[ivory pumice]

Yeah

[lost galleon]

When we substitute zero

The tanof zero becomes in the denominator..it does not exist

Right?

[ivory pumice]

No

Second step

Substituting x->0 it become 5/36x. And at x->0 limit doest not exist

Well ask your teacher , if he/she solves it , then pls send the solution

[lost galleon]

ok

Well...be here after about 5 hours..because I'll be back from classes

[ivory pumice]

Ok

[lost galleon]

ok

[slate wolf]

I’m just going wrong somewhere

I’m getting this as an answer, where did I go wrong? C is the right answer

[ivory pumice]

Take Y common in numerator and x in denominator

Umm wait

[mental snow]

Hi, you didnt go wrong anywhere

you just have to take x and y common

and put y/x = logy / logx

then you ll get C

[deep horizon]

Yes! I was able to get the answer so yeah i guess no constant there.

[mental snow]

yes 😄

[lunar atlas]

That Number is wrong its definitely a smaller decimal number

[ivory pumice]

Well I guess I don't need to write now

[gritty shale]

I think you made a mistake on line 4

@plain terrace on left is 1+1+1+! and right is 3

@plain terrace so it's still -1 :<<

wut

[plain terrace]

I got it

That's 4

[gritty shale]

yes

i got stuck at that line :v

[plain terrace]

Give me 5 min

[gritty shale]

ok

I got to this step but don't know how to solve quartic function

[plain terrace]

Sorry for last time and thank u for responding

[gritty shale]

ty bro

u so kind

have a gday :33

[plain terrace]

Thank u 👍

[plain terrace]

Same to u

[frail nova]

Abhu

Thanks for yesterday

Im doing quite good on studying

[plain terrace]

Great, keep going

[plain terrace]

Welcome

[mental snow]

by making venn diagrams its pretty clear but for proof

for proof we can say

let x belong to A
and y belong to C and

let x,y belong to B

Then we can say that AUC has x and y and x,y belong to B

now
x belongs to A
and AUD is B that means AUD has Y in it.
but Y is not in A, that means Y MUST be in D

so for every such Y that belongs to C, Y must also belong to D
that is, C and D are basically the same set

[upbeat osprey]

alright imma try to turn this into a formal proof cause thats what my prof wants 😫

[upbeat osprey]

thank you so much!!

[mental snow]

yes same thing on my mind haha m sorry about that

[mental snow]

😄 yayy

[proper sail]

What are the middle steps between step 1 and step 2 ?

[clever light]

https://media.discordapp.net/attachments/680534710929457233/857174857970876426/giphy.gif

[proper sail]

Please help

[left knoll]

Hey guys,if anyone is good at like basic trig,please help me lol

[ivory pumice]

Send questions@left knoll here someone will help you

@proper sail uhh what is Z ? Complex number?

[left knoll]

Is it fine if I message you in a few hours ? 😅

[proper sail]

@Dark_Shin#5031 it is sigma

[old elm]

hi, is anyone able to help me out with understanding some math questions? the subject is radical expressions. (if we could go into a vc thatd be really helpful)

[lunar atlas]

Can someone spot the error I’m making pls

[lost galleon]

hi

[lost galleon]

The answer is Does not exist

[ember kernel]

The integral of e^(t/2) is 2e^(t/2), not e^(t/2)

[left knoll]

You forgot to divide by 0.5 when you compute the integral from exponential

[proper sail]

How to do question 7?

[ember kernel]

Find alpha and beta using the quadratic formula, then just compute 1/a³ + 1/b³ using the values you find

[proper sail]

I tried that man it doesn't work in quadratic formula because we get negative square root of a number

The 7 in equation needs to be negative to us Quadratic formula

Use

[ember kernel]

What about complex roots, if you've already learnt about complex numbers

[proper sail]

I have learnt OK I will try through it

[lunar atlas]

Anyone know how to do b and c for the first one

This is my work behind B

[plain terrace]

Always write the known value first like sum of roots, product of roots. And if u get quadratic equations than try to think about square identies like , (a+b) whole square

[proper sail]

OK thanks man

[left knoll]

can anyone tell me how did we do this like how did this equation turn into that one?

[left knoll]

thank you!!

[left knoll]

thank you!!

[plain terrace]

U did everything correctly I think u should recheck the answer

[river oasis]

please help, i tried sooo many combinations already, but cant figure it out :c

[solemn sphinx]

Yes... Same here

[solemn sphinx]

Okay... I'll try

[river oasis]

thank you!

[solemn sphinx]

You’re welcome!

[river oasis]

literally my hero! my mistake was that when i did R3 - 5R2 i forgot about second minus and was gettin -10/2 lol.. thanks a lot!

[plain terrace]

She is great

[solemn sphinx]

You're most welcome dear! 😊

[plain terrace]

Are u in college or high school ?

[solemn sphinx]

Passed both :P
Preparing for GATE now

[plain terrace]

Which University r u aiming for like u r so good with maths, IIT

[solemn sphinx]

Aaye, thanks! I hope to get into an IIT for MTech. Hopefully IIT Bombay.

I have always loved Maths, since I was kid, thanks to my Papa, who is a really good teacher.

[plain terrace]

Great, maths genetics

[left knoll]

HII

Are you available?

I’ll Send you a question,please work it out and see what you get to see if you get the same answer as me
thank you

[supple island]

just put it here, someone will answer shortly after

[left knoll]

Alright ! Here it is

Please can someone work it our and tell me what they get 😭

[ember kernel]

(a = theta)

8 tan(a) + 15 = 0
Thus tan(a) = -15/8
Thus a = arctan(-15/8) + 180°
(Because arctan only returns angles between -90° and 90°, but you want 'a' between 90° and 270° => you need to add 180°)

[left knoll]

I think it’s the answer

[ember kernel]

From there, you know the value of the angle 'a', so just use it to compute questions 1) and 2)

[left knoll]

Yes I got that for theta!
And it’s in quadrant 2 as niki also showed : )

[left knoll]

I got 23/17 for 1 & 22 for 2 but my memo says 1) = 7/17 & 2) = 38 😭
So idk where I went wrong LOL

But my textbook has a lot of incorrect answers,that’s why I’m so unsure

[covert briar]

A bakery offers three flavors of cake. In how many ways can 5 people buy
one cake each; such that no three of them buy exactly the same flavor?

please help me with this one

i hv like an hour left

to submit an assignment

and im confused with this q

[left knoll]

How do I do this ?😅

[ember kernel]

If you have a glimpse at the graph, you see that tan(a) = 18/b.
(With a = theta)
Since you know that tan(a) = 12/5, you can find b via the equation 12/5 = 18/b

[analog kettle]

why not IISC banglore

[proper sail]

Please help in this question

[minor scaffold]

How do I show the following result?

[slender quail]

struggling with this pls help :<

[minor scaffold]

Hint: split up the integral as a sum, find individual anti-derivatives, lump together the individual constants into a final constant

[mint path]

i don't really understand the q but try substituting with the choices u have

[mint path]

is it asking to show that this integral=1 when n is infinity?

[minor scaffold]

in the limit the integral should converge to 1

(note: this isn't the actual question -- this is one result that must be true for a different result to hold)

[minor scaffold]

Here's the original Q

[mint path]

wow. what bt taking ln for both sides then use L'Hôpital's rule

nah, I don't really think I understand it. srry

[minor scaffold]

nw thanks for taking a look

[mint path]

no problem

[crimson crow]

⠀

[minor scaffold]

So, using the hint, we have this relation...which implies in the limit the integral converges to 1. But...that's just inferring from knowing Sterling's approximation gets better for larger n ... so my Q is, how do we definitively show the integral converges to 1

[narrow marlin]

Hey so I gave up halfway through algebra 1 remote this year and I’m going into geometry my freshman year. What are the topics from algebra1 that I need to take with me into geometry? please and thank you

[left knoll]

😮
Thank you !!

[proper sail]

Please help me with this question

[solemn sphinx]

My boyfriend just got into IIT B. So I'm more inclined towards IIT B now😝

[craggy osprey]

Can someone help me solve these please?

[craggy osprey]

THANK YOU SO MUCH!

[north schooner]

welcome :)

[plain terrace]

This is what we call motivation

[next granite]

Plis help

[slender quail]

Ty phone died so only just seen but much appreciated

[tough rune]

7nth question pls

[left knoll]

Guys can someone help me?

[dreamy cloak]

hei guys

i need some help

with intervals

An=...

can you send me all formules at this caption

?

pls

[left knoll]

Hey guys ,dumb question but it’s really bugging me.
This is very general,but you know when you have 2 values out of 3,set up like a=b/c and you have the value of a and b(being the numerator ofc) but you’re looking for c,what gets divided by what ? And why?

I’ve recently been dividing it incorrectly,idk what’s going on 😅

[halcyon ether]

c = b / a, is this what u're asking?

[left knoll]

Mmm let me quickly make something up

Okay I found something : (science)

V = D/t
75 = 100/t
t = ?

1,333

@halcyon ether

[halcyon ether]

t = 100 / 75

so, procedure: you multiply both sides by t (75t = 100), then divide each by 75 to get t

when ur familiar with this, a heuristic would be to "move t to the other side", meaning if t is the denominator on right hand side, when putting t into left hand side, you multiply left hand side by t. when it's numerator on RHS, you divide LHS by it

[left knoll]

Omggg thank you !!

I kept focusing on the 100 instead of the t

Thank you so so such ❤️

[halcyon ether]

@left knoll yup glad u find it helpful :v

[formal patrol]

Please help

[desert sluice]

Can someone hele with this problem

[sullen locust]

Here's a probability problem that I've been stuck on for a bit:
How many 5-digit sequences have a digit that appears at least 3 times? (For instance, 03005 and 22922 are examples of such sequences.)
If anybody could help that would be appreciated

[desert sluice]

Hey I think I got the answer but not sure if that right

But does it have to be a 5 digit number is Zero on the 10000th place allowed

Or just any sequence of 5 digits

[sullen locust]

any sequence, zero can be the first digit

all zeroes is fine too

[halcyon ether]

@desert sluice

[gritty shale]

can some1 help me this

i tried to solve it for 20min but i cant do it

[halcyon ether]

@gritty shale grade 11 trigonometry huh?

[gritty shale]

yeah bro :33 thanh kiu

[left knoll]

i need help on this

9th grade trig

[red spruce]

cos theta = sin (90-theta) so we can write cos 75 = sin (90-75 ) which sin 15 so by comparison we get theta = 15

[left knoll]

alr thanks!

[sharp totem]

does anyone understand this? i thought the answer would be 0 but it seems as though it's not

[stone flare]

1+1 =?

[left knoll]

Why does cos 30º = sin 60º?

[ember kernel]

Trigonometry property : sin(a) = cos(90° - a)

@left knoll

[left knoll]

alr thanks

[ember kernel]

When x-> infinity, sqrt(17x²+13) ~= sqrt(17x²) = sqrt(17)*x
Using log(a) - log(b) = log(a/b), you get lim x-> infinity (ln (sqrt(17)x / x) ) = ln(sqrt(17))

@sharp totem

[sharp totem]

ah ok; thank you so much!! i actually understand now. my textbook wasn't helping so thank you so much !! 🥲

[ember kernel]

You're welcome 😁

[opal canopy]

Does anyone here even remember Grade 7 maths

[ember kernel]

Ask your questions, you'll get answers

[glass oasis]

sad

[left knoll]

can anyone help me with anyone of this

[polar sun]

can anyone help me to get the coordinates

[modern citrus]

NEED HELP QUICK

[ember kernel]

Sorry. I do help people, but I'm not giving the answers of a test.

Rule 5 in #welcome-verification

[left knoll]

if the length of a resisting wire is changed by 5% and its radius is changed by 1% then what would be the change in its resistance?

[left knoll]

Can someone help me

[left knoll]

Hey guys,when given the number pattern : x+9, 2x+7, 3x+5 … and you are asked to prove that it’s a linear sequence,how do I answer that

In the Tn = dn + c formula,is d = x - 2?

[slender quail]

hey guys anyone know how to do this :>3

[ember kernel]

1. The perimeter of a X by Y rectangle is expressed X + Y + X + Y = 2(X+Y)
   (It's the total length of the border)

2. You want to choose X and Y (integers) such that 18 = 2(X+Y). There are multiple solutions to this problem. Just pick one

3. The area of a square of side length X is expressed X². (It's the side length multiplied by itself) You know that X² = 49. Based on that, you can find the value of X.

Note that I used X and Y as arbitrary names for the side lengths of the rectangles and square. But you may change them to fit the names you and yout teacher use ^^

[ember kernel]

R = total resistance of the wire
rho = wire resistivity (unchanged here)
l = wire length
a = wire section area

If you increase the length by 5%, use 105%*l = 1.05l in the formula (or 0.95l if you shorten the wire)
You can do the same with the section area a and you'll get an expression of R2 (the resistance of the modified wire)

To get the change of the resistance in percentage, just compute R2/R
(R is the resistance of the initial, unchanged wire, the formula of which is shown in the screenshot)

[slender quail]

thanks ❤️

[crude spruce]

Can someone help with with part d? I got stuck there and I've ran out of ideas as to how I can go about solving it

[ivory pumice]

0? , We Can't get 6 points without 1 , there is no any other pair which will give you the total score of 6 other than (5,1)

[crude spruce]

what abt 3,3?

[ivory pumice]

Ohh wait

I did not think about that

1/16 ?

[crude spruce]

wait uh the ans is some weird fraction. gimme a sec..

32/107 is the ans

the thing is i have no idea how to get that

[ivory pumice]

Ohhhhk

Lemme try

[ivory pumice]

@crude spruce did you try using radius of each scores? But in question it is mentioned that it is equally likely to pierce any part of target according to that am getting 1/3 , but again radius would be irrelevant , I think you have to calculate using radius

[crude spruce]

i tried using the radius to find the area occupied by each individual point but that got me some other value

[ivory pumice]

Answer would be P(of hitting 3,3)/ (P(of 1,5)+P(5,1)+p(3,3))

[crude spruce]

from that u get 1/3?

[ivory pumice]

Assuming that Arrow is equally likely to hit any score

[crude spruce]

hm ok

thx

[gritty shale]

can some1 help me ques 26

the topic is solve the equaltion

[ivory pumice]

@gritty shale convert cos2x into (1-2sin²x) and solve for sinx

You will get 2 solutions

Sinx= 1/2 &
Sinx= 1/√2

[gritty shale]

my caculator give me sĩn=1/2 and 0.7 :v

and 0,7 is 1/√2

i thougt my answer is wrong because is not seem like correct

[ivory pumice]

Ohhh

[gritty shale]

vietnamese's caculator is so stupid :v

[ivory pumice]

I don't know how to use calculator to solve trigonometry , never used calculator for that

[gritty shale]

wut :))

in vietnam,we always use caculator to solve trigonometry

it just : mode+5+3 and u have answer

it seem like code in game

[ivory pumice]

https://tenor.com/view/vegeta-dragonballsuper-dragonball-meme-language-of-gods-gif-14707991

I only use calculator for arithmetic purposes

[gritty shale]

hmmmm

[ivory pumice]

Feeling like a boomer ;-;

[gritty shale]

anyway,ty 4 helped me :333

[ivory pumice]

Np :)

[sharp ferry]

Dude lucky we can't even use for complex calculations

[halcyon ether]

@gritty shale this look like its chuyên ngữ's stuff :))) are you? :v

[left knoll]

thank you sm!!!

[golden rock]

can anyone explain how the last part is even possible?

[modest compass]

you mind translating the question?

[ember kernel]

Plus, it looks like it belongs to #science-help more than here

[modest compass]

if it's moments then it's mechanics related so 🤷‍♂️

[fervent tide]

lhopital will work on the last one, but on the first two you can do some funky polynomial division, and then prove that the limits are different when you approach the limit from above versus below, and therefore dont exist (ie. find a way to factorise out the expression 1/(2 - x) for when x->2, or 1/(1-x) for when x->1)

[craggy osprey]

Anybody know how to do this?

[copper matrix]

i don't know but i found an explanation

could not send it to you on dm (i'm not sure i can send links here)

https://www.teachoo.com/3089/679/Misc-8---Prove-tan-1-1-5---tan-1-1-7---tan-1-1-3---tan-1-1-8/category/Miscellaneous/

[copper matrix]

@craggy osprey

[craggy osprey]

Ahh thank you so much! this helps : )

[left knoll]

@formal patrol

[ivory pumice]

Lol

[mossy fjord]

Hello fellow 12th grader
:p
Thats an ncert question tho

a*

[craggy osprey]

Haha yes it is but i got stuck halfway ...but its alright i figured it out

[mossy fjord]

The question was not that hard. Like if you know the tan-1 x+ tan-1y
Then ya. U can easily do it

Also whos rona 😅

[clear widget]

i think she meant corona

[cloud girder]

HI i need help asap if someone can

[granite crow]

@cloud girder

Let me know if you need clarification

[craggy osprey]

yes i meant corona 😂

[next granite]

which app did you use?

[granite crow]

OneNote

[next granite]

cool

[pale tartan]

@swift smelt

[mossy fjord]

:0 you gave him a nickname

Nd i gave him a gender apparently

[craggy osprey]

LMAO

[craggy osprey]

it is a nice name tho

[echo wasp]

does anyone know why this is 2 < x < 8 and not x < 2, x >8? ty <3

[granite crow]

@echo wasp

[echo wasp]

tysm :p

[cloud girder]

tysm

[mental dragon]

you might find help in #science-help

[gray coral]

ok

[gray coral]

In the triangle below, determine the measurement of the side AC, considering the measurements present in it. (Use √2 = 1.4 and √3 = 1.7).
help pls

[copper matrix]

in your case, Sin60/10 = Sin45/x and then you solve for x

it would be x = (Sin45 x 10)/Sin60

@gray coral

[gray coral]

oh, i understand (i think), thank you

[copper matrix]

maybe I explained poorly, if you have any questions about the problem u can ask and i'll try to explain a little better ^^ have fun studying

[gray coral]

ok, thankss

[analog wagon]

anyone??

lf f(x) = x if x is rational n f(x)= -x if irrational then lim x tends to zero f(x) ??

[frigid violet]

I need help ;-;

[ivory pumice]

Does not exist?

[analog wagon]

i don't know the ans but it's either 0 or doesn't exist something

[ember kernel]

I would say 'does not exist' too. Considering f(x) is not continuous and its values keep getting further away from 0 as x increases, there is no reason f(x) would converge to 0

[valid kite]

Line D//E, therefore angle 6 = angle 8. Since Angle 6+5 and Angle 1+5 are both 180, it follows that angle 1=6, which means angle 1=6=8. Q.E.D. 🙂

For those who want to train their arithmetics:

Have fun! ❤️

[fiery haven]

hey guys please help
when solving square roots or whatever roots when do we have to include +/-
because in my textbook it says that
√(-64)=+/-8i
but if its
2√( -16) then its only 8i
how does that work??

[mossy fjord]

Wait. Imma hav to explain it better -_-

[fiery haven]

HAHA ITS OKK

[mossy fjord]

I m srry :/ i dont know how to explain. Someone will explain it i hoe 😔
But √(-64) is 8i
Not -8i

Hope*

[left knoll]

because 8i×8i = -64 and (-8i)×(-8i) = -64

[left knoll]

for example for square root of 4, we write +/- 2

[cloud girder]

can anyone help </3

[analog wagon]

umm but I'm confused! I had solved a similar qs n the ans was 0

[ember kernel]

Maybe it's because the other question had a function like +/- 1/x, and thus +/- 1/x (depending on whether x is a rational) gets closer and closer to 0 as x tends to infinity ?

[ember kernel]

What was the other function that tends to 0 ?

[analog wagon]

x for rational n 1-x for irr

n we had to find lim x---1/2

[ivory pumice]

Hmmmmmm , remember √x² = |x| , now there is difference in the following equations

y=√x²
&
y²=x²

The first equation is linear so it always have maximum of one solution and that solution would be y=|x|

On the other hand the second equation is quadratic it can have 2 roots , which is -|x| & +|x|

[ivory pumice]

For real numbers

Sqrt of complex numbers(of form x+iy) are calculated using other method

[gritty shale]

can u guys help me 33 and 34,threat is solve the equation

[livid wraith]

can anyone help me with this question

[ivory pumice]

1/3?

[livid wraith]

but i don't know the steps doe

[ivory pumice]

Change limit to -alpha to alpha & alpha to beta

First one will become 0 as this is an odd function

[livid wraith]

ahh i see thx for the help

[ivory pumice]

Hmmmm , I didn't try 33 but 34 can be done by expanding sin2x and solving , in the end you will get 2 solutions

Cosx= (-1/2)

&

Sin2x= 1

[gritty shale]

can u tell me next step,i have no idea what next to do :v

[ivory pumice]

For 33 , multiply both sides by cos²x and solve you will get 3 solutions

[ivory pumice]

Ok am sending pic , my handwriting is comparable to ancient scriptures , it's hard to understand it

[gritty shale]

np :333

ty :333

[ivory pumice]

Ohhh wait

I did something wrong in 33

[ivory pumice]

This is for 34 btw

[gritty shale]

oke

[gritty shale]

i thinh i got it :V

is it correct ?

[ivory pumice]

Lemme check

There should be 3 solutions

And I can't understand what you did in the first and second step?

Ok it seems correct

@gritty shale

[ivory pumice]

I was doing something wrong

[ivory pumice]

Ok there should be 3 solutions

[ivory pumice]

You cant cancel (1-sinx) , that will reduce the solutions

[gritty shale]

hmmm

i 'll try to solve it again :v

[ivory pumice]

Don't, just shift it to left side and take (1-sinx) common everything should be same

[ivory pumice]

Am saying this cuz I got cubic equation but It doesn't mean that there should be exactly 3 , it can be less than 3

[gritty shale]

ok :333

ty

[gusty bluff]

why doesnt switching the position of sq root of (a2-x2) and x and having x=acosθ not work in trig substitution?

[mossy fjord]

I checked . yes √(-64 )= -8i or 8i
Both are correct but i personally have never done a question where i took the negative one (-8i) i always take the positive one (8i)
:/ hope that make sense

[tame surge]

Is both correct?

[granite crow]

yep

[bold dagger]

Can anyone help me to solve this?

[granite crow]

@bold dagger

[bold dagger]

Thanks! ❤

[granite crow]

no problem

[timber crystal]

Can any one slove this?

[granite crow]

Both 7 and 8?

@timber crystal

[timber crystal]

yap

[bold dagger]

Can anybody solve this?

[steel plover]

can someone explain what h represents in this context?