help-0

[static mountain]

there is x^2

[analog terrace]

now that i looked into it. it might be 4th decile and 15th percentile

[static mountain]

in the top

and x in the bottom

so even if i solve for x in the bottom

i dont think im able to solve the top

[analog terrace]

you substitute it to the x above then ^2

[sullen echo]

Then try elimination method

[static mountain]

but then i get like

y^4

[gray isle]

I mean what I said

[static mountain]

and thats completely different

[gray isle]

isolate y^2

[sullen echo]

Eliminate y^2 from both eq and solve x quadratic eq

[gray isle]

and plug into the other equation

[analog terrace]

no you get (y^2 + 5) (y^2 + 5) i assume that you can solve thisd

[static mountain]

wait

youre supposed to eliminate

sorry for repost

i just need to look at it again

[analog terrace]

you can also use substitution too

[static mountain]

so pls confirm this

if i do

x25 on the bottom

[gray isle]

(alternatively go through the standard approach and eliminate y^2)

[static mountain]

times negative 25 actually

[analog terrace]

there's two ways of solving that iirc. substitution and elimination

[static mountain]

i get

25x -25y^2 + 125

so that eliminates two terms

right

[gray isle]

= 0

[static mountain]

yes?

[analog terrace]

where did 25x come from?

[static mountain]

multiply whole thing by 25

to eliminate

[gray isle]

adding your two equations will eliminate the y^2 terms

[static mountain]

yes

[alpine sable]

can someone help me with this

[ionic jewel]

whats an "entire subset"

powerset?

well

just go through and find all the subsets then

{{},{a},{m},{n},{c},{am}...}

[sly flower]

since the chat is active i had a doubt so pls help

[ionic jewel]

<@&268886789983436800>

[tall wing]

yw

[ionic jewel]

there are 4 sides, the perimeter is adding them all together

[sly flower]

answer this too pls this is grade 7 its pretty easy

[ionic jewel]

what is this an exam too?

[sly flower]

no

[ionic jewel]

you missed the 4th option

p-p/4 is 4p/4-p/4 = 3p/4

[sly flower]

help pls with this one

i am rlly bad at maths

[ionic jewel]

answer key is wrong

you are right

[blazing gust]

I need help solving 6<x+5 ≤11

[sly flower]

rlly?

[static mountain]

what

no

[ionic jewel]

why are you adding 37

[static mountain]

you subtract both

that is correct

[ionic jewel]

^

[sly flower]

ok

[static mountain]

the answer key is not wrong

[sly flower]

weird

[ionic jewel]

oh

i read the check as you one you picked

you subtract 25 from both sides, then you subtract 37 from both sids

to isolate x

sorry for the false hope :^)

[sly flower]

ok thnx

[sly flower]

i dont rlly care

[alpine sable]

hurty brain no worky

[gray isle]

factorise

[sly flower]

idk i am grade 7 not 10th

[gray isle]

what's -8 supposed to be?

[analog terrace]

are you finding x?

[gray isle]

no, what's r?

and if I were to assume that was supposed to be an x,
how are you getting that?

[pastel jungle]

doing a math review

i can figure this one out, except i dont know why is goes to the negative

because tan is less than 0 right?

[sullen echo]

Yes

[pastel jungle]

lol it made sense after i asked it out loud

its too late to be doing trig tonight 😂

thank you

[pastel jungle]

legit JPEG there, thank you

[spiral pebble]

Do u still need help on this or u r done?

[frigid gale]

still need help pls

[spiral pebble]

I ll give u the steps to do that

[frigid gale]

i know what to do say if i was dividing by 50

bc then

7^2

is off by 1

so it works nicely

[spiral pebble]

First see the unit digit of ur exponent

[frigid gale]

mhm

7

?

oh wait nvm

4

[spiral pebble]

Its 4

[frigid gale]

xd

[spiral pebble]

Yeah

[frigid gale]

brain a little dead after pulling an all night for school stuff

[spiral pebble]

Base^unit digit of exponent

Calculate it

[ionic jewel]

wait wheres the 4 from

[spiral pebble]

The exponent

[ionic jewel]

oh the last digit of the exponent

[frigid gale]

2401

[spiral pebble]

Then modulo it by 26

U ll get the answer

[ionic jewel]

wait

[frigid gale]

nani

[ionic jewel]

why does that work

[frigid gale]

9mod26?

[ionic jewel]

gonna need some theorem or somthing for this witchcraft

[spiral pebble]

No no

[frigid gale]

o lel

[ionic jewel]

the answer is just 9

[frigid gale]

for the remainder ye

[spiral pebble]

2401 modulo 26

[frigid gale]

oh

[ionic jewel]

okay but how did you just take the last digit

[frigid gale]

so 2401 is the remainder for the whole thing? thats super cool

never seen the last digit thing

[ionic jewel]

no

[frigid gale]

oh?

[ionic jewel]

its mod 26

the remainder has to be less than 26

[frigid gale]

thats true

lel

so its 9

[ionic jewel]

yes

[frigid gale]

ye thats what i got

[ionic jewel]

i want to know what magic he did to get that tho

[frigid gale]

:p

i simplified 2401mod26 to 9mod26

[ionic jewel]

just write 9

[frigid gale]

for the remainder yes

[spiral pebble]

Yeah

I was a bit confused seeing that first lol

[frigid gale]

i have no idea why that last digit thing works but its very useful. does it ALWAYS work?

[ionic jewel]

i cant imagine it does

[frigid gale]

well i dont think theres anything special about any of the numbers in my question

so i think it probably does

[spiral pebble]

Im not sure if it always works but when i stumble upon such type of ques i use this trick and get it right

[frigid gale]

lel

similar question

using congruence

ive found that solutions exist

[ionic jewel]

it doesnt always work

see 2^10 mod 5

[frigid gale]

but i cant remember how to actually find the solutions

lel

[ionic jewel]

quick example there

[frigid gale]

hmmmm. so whats to say the last digit thing works in the original example? 🤔

[ionic jewel]

im not sure why it worked here but its not a universal rule

its right because i checked

but idk why its right

[frigid gale]

oh, where did u check 😮

[ionic jewel]

wolfram

[frigid gale]

would be useful to be able to double check my answers

thanks

mind linking pls?

[gray isle]

you could first do
= (7^2)^(9647) mod 26

[frigid gale]

yes i did this

but

it wants it

in non modulo form

so that was way too big of a number

well

i did something similar

i said

7^2

was congruent to

3mod26

i think

no -3

mod26

but then

bc it wasnt -1

[gray isle]

= (-3)^(9645) * (-3)^2 mod26

[frigid gale]

it became a huge number

[frigid gale]

ye but the issue is how it wants it as a normal number

xD

and i didnt know where to go from there

[gray isle]

= (-3)^(9645) * (-3)^2 mod26

consider that

[frigid gale]

well from how u put it im assuming the -3)^9645 =1

[gray isle]

not 1

[frigid gale]

oh?

but we would then have 9 mod26

left

[spiral pebble]

Hmmm interesting i checked out some values in the calculator, and according to my observations it works when the exponent's base digit is not 0

[frigid gale]

interesting

where is this calculator?

[spiral pebble]

Wait

[frigid gale]

i was trying to find one to check my answer

[gray isle]

(-3)^9645 mod26 isn't quite 1

consider applying some exponent laws

[frigid gale]

well what is it then ._. i have no idea how to do this because i cant find any power for which it and a multiple of 26 are 1 apart

[spiral pebble]

https://planetcalc.com/8326/

[ionic jewel]

2^(3015) = 2^5 mod 5
this one is false

[frigid gale]

lel

[ionic jewel]

seems to just be likely to work, probably due to some underlying cause that we arent thinking of

[spiral pebble]

Yeah maybe

[gray isle]

apply some exponent laws to
(-3)^9645

note at how I deliberately split the 9647

[spiral pebble]

But wait why did u mod it by 5? But in the L.H.S u r just stating 2^3015

[frigid gale]

i appreciate youre trying to get me to think of it myself but my brain is way beyond that level of processing power rn :/ would you be able to explain it please?

[ionic jewel]

you only put the mod on one side for whatever reason

[gray isle]

what are some powers of (-3)?

[spiral pebble]

Ohk ohk

[frigid gale]

normally id just find a power of 7 such that it is 1 off a multiple of 26 and then just use congruence to find the pattern of 1 and -1

but i cant actually find such a power and multiple

with these numbers

[gray isle]

multiples of 7 are a pain

the first step reduces your concerns to powers of (-3)

which makes it simpler

what are some powers of (-3)?

[frigid gale]

where did -3 come from 🤔

[alpine sable]

How do you find all positive integrs n for which (n+7)/sqrt(n-1) is an integer

[frigid gale]

sorry gayer would you mind using another channel please until we are done?

[gray isle]

7^2 mod26 = -3

[frigid gale]

ah okie

[gray isle]

which you said you got yourself earlier

[frigid gale]

yes

[gray isle]

for the fourth time

what are some powers of (-3)?

[frigid gale]

2

3

4

😛

9

[gray isle]

where's 2,3,4 coming from?

[frigid gale]

this si what i tried but it just gave me a giant number

[frigid gale]

theyre the powers

🤔

[gray isle]

(-3)^(what) is giving you 2,3 or 4?

[frigid gale]

i did 7^19294 is congruent to (-3)^19294/2 or something like that

[frigid gale]

oh no those are the powers

the results would be

9

-27

81

etc

wait thats 7s

lol

[gray isle]

oh hey look. -27 looks like its 1 off from a multiple of 26

[frigid gale]

thats true 🤔

didnt think of negative multiples

of 26

._>

[gray isle]

= (-3)^(9645) * (-3)^2 mod26

now consider how I split it

what would (-3)^(9645) mod 26 be?

[frigid gale]

no clue. i pulled an all nighter so im completely braindead. i got the method from the start, just couldnt find a way to get 1 or -1 but -27 works. thanks

[gray isle]

use the same approach as you did in the first step

(-3)^9645 = (-27)^(9645/3)

-27 mod26 = ?

[frigid gale]

-1?

[gray isle]

yes

[frigid gale]

ye then i get it from there. thanks again

[static mountain]

how do i solve this?

[gray isle]

factorisation

[static mountain]

wait

what??

im stuck on this one

[gray isle]

you could consider doing a sub like u=sin(x)
if you're really stuck

[placid zinc]

Don't divide where a polynomial factorization can do better

[rustic kiln]

Is this channel occupied?

[placid zinc]

But yeah sin(x) = 0 is a sol

[uneven slate]

Hey I have a quest on the following polynomial function: f(x) 25x⁴-16. My aim is to factorize it, I get that f(x)= (x-2.√5/5).(x+2.√5/5). But there are still two grades left, what should I do? If I use Ruffini and Gauss I don't get anywhere either

[alpine sable]

no thats not how u do it @uneven slate

[ocean seal]

ajuze

[uneven slate]

Omg tysm :0

[ocean seal]

ajuze

[alpine sable]

np

[gray isle]

symmetric equation?

symmetric form?

there'll be a unique line, (find an equation using your method of choice)
rearrange that into the specified form using algebra as needed

slopes? properties of perpendicular lines?

[celest moth]

geometric shape is roller, his diagonal cut is square

can anybody help i have math test in like 1h

[cerulean void]

You should @ helper cuz it's been 15 mins

[sacred vigil]

May I try to help

[celest moth]

yes

any help is good for me since i have no clue

this problem seem easy but i cant figure it out

[sacred vigil]

Can you just five the original questiom

In words

Other than this fugure

[celest moth]

yeah sure let me translate this

Determine the radius (r) of the base and the height (H) of a right circular cylinder whose axial cross section is square and whose volume is V = 54π

@sacred vigil

[sacred vigil]

So the formula for the given's volume would be

[celest moth]

V=2r×H

[sacred vigil]

$πr^2h/2$

[ocean seal]

Akhandanand Tripathi

[sacred vigil]

Coz this is a cylinder

And we've halved the given cylinder

[celest moth]

i think the formula is r squared×pi×H without ÷2

[sacred vigil]

We've halved the cylinder

Haven't we?

[celest moth]

i think it just says that square is inside which means 2r=H

R=H

its just diagonal cut of the cylinder info

[sacred vigil]

So basically

Let's take it like thsi

2 × radius = height?

[celest moth]

Yes

[sacred vigil]

So the formula of the cross-section's volume would be

[celest moth]

2 r (R) = H

2r×H

[sacred vigil]

Don't make any R

[celest moth]

alr

[sacred vigil]

Okay

We can do this very simply, you have to observe

We can find the radius first

[celest moth]

if you need any formulas im here

[sacred vigil]

$\frac {πr^2h}{2} = 54π
=>
\frac {πr^2(2r)}{2} = 54π$

These are the two things we coukd write them as

Now solve the second one

[ocean seal]

Akhandanand Tripathi

[sacred vigil]

You'll get the radius

Now solve the same eq. For height keeping the value of r as the solution

[celest moth]

thats the problem i got to that point and hit a deadline

[sacred vigil]

No you won't

Solve it

[celest moth]

i'll try

[sacred vigil]

No waot

The answer won't be perfect

[strong furnace]

The formula for the volume , are you sure you are using the correct formula?

[sacred vigil]

The volume of a cylinder so the volume will be

πr²h

Won't it

[celest moth]

how do i do this now

r squared × 2r

equals 54

[strong furnace]

You had a factor of 1/2 here

[sacred vigil]

Let's us ethe standard formula

[celest moth]

i can divide with 2

thats not a problem

[sacred vigil]

Wiat I'll tell You

[celest moth]

i dont know how to do r squared times 2r

[sacred vigil]

2r³

[celest moth]

thats the problem

[sacred vigil]

Simple algebra

[celest moth]

2r on 3 is 54

[strong furnace]

You have removed pi from the LHS which is making this awkward

[sacred vigil]

An dteh answer won't eb perfecr

[celest moth]

yeah thats the problem

[strong furnace]

The answer is a natural number

[celest moth]

number would have shit ton of decimals

[strong furnace]

For radius

[celest moth]

and it needs to be natural number yeah

thats why i am stuck

[sacred vigil]

I tjink this will be the eq.

[celest moth]

oh my god

im dumb as fuck

[sacred vigil]

No you aren't

I'm dumb

O used the 1/2 factor

It was my mistake

[celest moth]

no no the thing is before i send you all my problem

i had 2r3 = 54 and stuck for no reason

maybe im having mental blockade because i slept for 2 hours and drank 2 coffee's

[sacred vigil]

Then you're dumb, but don't worry, practice will make you used to it

[sacred vigil]

That is a lot of caffeine, I must say

[celest moth]

i havent eaten anything im living on coffee cigarettes and 6 hours of math

[sacred vigil]

Dont take the word dumb too seriously I am joking 🙂 🙂

[celest moth]

i know hahaha

the thing is i solved way harder problems i dont know why i was stuck on this one

[sacred vigil]

Okay, you're in true mental blockage tjem

[celest moth]

imma go continue the marathon

thanks for your help

ill add you as a friend

[sacred vigil]

https://c.tenor.com/LRTkUYkU1kkAAAAM/ok-okay.gif

[celest moth]

btw death note is best anime ever

[sacred vigil]

I know

[celest moth]

u watched it in 3 days

[sacred vigil]

I like parasyte too

I watched parasyte in 3 days

[celest moth]

i dont really watch anime but death note is goat

[sacred vigil]

Parasyte maxim, in case if you'd like to watch it

[sacred vigil]

Oooohkay

[celest moth]

ill write it dowb

n

[sacred vigil]

You're studying what?

[celest moth]

math, cylinder, prisms, arithmetic sequence

[sacred vigil]

Oky

[celest moth]

see ya

[sacred vigil]

Yeah sure

Any question may be helped by me if I'll know to

[gray isle]

depends on context and level of math

at lower levels, base of 10 is implied.
at higher levels, certain textbooks use log for the natural log

we're used to working in base 10 i guess

yes

that would be the most efficient way to simplify

[sacred vigil]

,iam studying

[ocean seal]

Gave you the studying! selfrole.

[celest moth]

i am studying

lmao

[sacred vigil]

@celest moth you had a question?

[celest moth]

nah im good im doing fine right now

[sacred vigil]

Yeah

Good

[celest moth]

i dont like geometrics too much formula to remember

[sacred vigil]

I like geometry

So much deductive reasoning required

[celest moth]

its easy but you have to remember shit ton of things

[sacred vigil]

They're easy of you do a certain kind of questions at a time

[celest moth]

but everything is on the similar pattern, using formulas and little logic

[sacred vigil]

A mediocre amount of practice of a certain type of question may help

[sacred vigil]

But what they ask is what amke sall the difference

Some ask it in logical way

Some ask it straight forward

It is the one whing which decides the kind of questions

[celest moth]

yeah

it would be nice if i wasnt tired for 4 days straight

i slept around 10 hours last 4 days

[sacred vigil]

https://c.tenor.com/L1hySKEC9wkAAAAM/pepe-hmm.gif

Considerably low

[celest moth]

how do i fucking remember this formula lmao

[sacred vigil]

Is this heron's?

[celest moth]

wtf is heron

[sacred vigil]

Heron's formula?

[celest moth]

nope

[sacred vigil]

$\sqrt{s(s-a)(s-b)(s-c)}$

[ocean seal]

Akhandanand Tripathi

[sacred vigil]

Is this the one

[celest moth]

yeaah

[sacred vigil]

Which you want

[sacred vigil]

This si heron's formula

[celest moth]

oh

[sacred vigil]

It is easy af to remember

Just keep in mind

Perimeter/2 is S

And we have to subtract it by every side

Other things will come automatically

[celest moth]

its easy to remember if you dont have 10 formulas for every shape, and there is 7-8 shapes

[sacred vigil]

10 formula, 1 for each shape?

[celest moth]

no worries

[sacred vigil]

Is this some micro-computer stuff?

[celest moth]

nah i wrote it down

then used sticky tape so the paper dont mess up

[sacred vigil]

It seems like a scaled blueprint for microcomputer

[celest moth]

nah nah hahahaha

im just gonna use it if i forget formuls

as*

[sacred vigil]

Okay

Good luck 😂

[celest moth]

thanks

hope i wont fail a fucking class

and go to summer school

[sacred vigil]

Are you a chain smoker or something?

[sacred vigil]

That will be a sad thing

[celest moth]

im not chain smoker

i smoke like 15/day

20/per 24h

a pack lasts me exactly 24h

[sacred vigil]

24h is more than 1 day, I didn't knew that

😂 😂

[celest moth]

nah i ment

without sleep

[sacred vigil]

Ohhh

[celest moth]

i need to sleep bro im talking mad shit

[sacred vigil]

You really smoke much

[quaint trout]

You need to stop smoking, that's what you need 👀

[sacred vigil]

Stop smoking

[sacred vigil]

I was going to say that 😂 😂

[celest moth]

actually 20 cigarettes per 24h is not that much

[sacred vigil]

But still, it harms, anything may be the amount

[tawny lion]

how much is in a pacl

[celest moth]

i smoke 5-6 in school, 5-6 at home and 5-6 when i go outside every night

pack=20 cigarettes

chain smokers are not real smokers, usually 14yo kids

or stressed out old people

[sacred vigil]

I won't say anything on that

But

[celest moth]

hahahahahaha

[sacred vigil]

https://c.tenor.com/RIF9TSrdCmkAAAAM/no-damn-smoking-ya-here-no-smoking.gif

https://c.tenor.com/hJHbGNtdMVEAAAAM/unicorn-smoking.gif

[celest moth]

yo im gonna flex a bit

since i woke up i smoked only 2

[sacred vigil]

Now stop smoking, atleast for unicorns

[celest moth]

im preoccupied with math

[strong furnace]

Take this to #chill maybe

[sacred vigil]

Take math as an addiction if you like ,but atleast stop smokibg

[sacred vigil]

Okay 🙂

[celest moth]

@sacred vigil im at the #chill

[sacred vigil]

,iam studying

[ocean seal]

Removed the studying! role from you.

[strong furnace]

Iamnot

[sacred vigil]

You ruined my study but anyways 🙂

[sacred vigil]

Thanks

[celest moth]

now i feel bad

[sacred vigil]

No don't feel bad

Just #chill

[celest moth]

alr imma head out

summer school here i am

[sacred vigil]

If you'll feel bad, you'll get @celest mothles

[celest moth]

good one

ahhahaha

[sacred vigil]

Thanks

Now, come to #chill

[harsh cargo]

can someone help explain?

why its B

I eliminated possibilities that its A or C

[strong furnace]

Isolate an x look at how the slope and y relate to each other as y tends to zero from both sides , base your decision off of that if it were to be D then the slope would be 0 for both cases

[harsh cargo]

wait- i don't really get it-

what do i write?

like is it like as x approaches infinity

or sumffin?

[strong furnace]

Take some +x on the graph look at how slope behaves as you go closer to x-axis

[harsh cargo]

so as y approaches 0

x becomes more vertical-

[strong furnace]

Does the slope fall flat or get steeper

[harsh cargo]

fall flat?

wait

no

flat means horizontal whoopsays

steeper

ooooooh

damn i get it

so i write

test quadrant one

elimate A and C

then as y approaches 0

x gets more steep

and doesn't flatten out

[strong furnace]

Slope gets more steeper yes

[harsh cargo]

so how would i justify

its B

?

[strong furnace]

How would a function that is -x/y behave if you were to set any x!=0 and then find the limit as y-> 0+/0-

[harsh cargo]

wait whats 0- and 0+

[strong furnace]

Standard limit notations - is for LHL and + is for RHL

[harsh cargo]

i havent learnt that yet eeps

x factorial?

[strong furnace]

That's computer science notation for not equal to so x not equal to 0

[harsh cargo]

ah

uhmsssssss

so how does i justify it?

in a way

that isnt too hard

for it to get steeper what does that mean

like for the graph?

[alpine sable]

How do i simplify this

[strong furnace]

For the slope to get steeper means it is approaching inf/-inf

[vague coral]

how do you want to simplify this

[alpine sable]

The question says - write the simplest form

[harsh cargo]

ooh ok ok ok

thank yew

that makes so much more sense

[strong furnace]

They mean algebraic by that don't they?

[alpine sable]

And the answer is 1/2 tan -¹ x

[harsh cargo]

I'll just say as y approaches 0, x approaches infinity//negative infinity

[strong furnace]

Or just this

[strong furnace]

X does not approach that the slope does

[alpine sable]

It's from the inverse trigonometry chapter

[strong furnace]

You have to do a trigonometric substitution

[harsh cargo]

oH

[alpine sable]

Yes but i am stuck

[strong furnace]

Something tells me (theta)=arctan(x) is what should work

[harsh cargo]

differentiate right?

[alpine sable]

What's arcsin?

[harsh cargo]

thats just

inverse sin

[alpine sable]

I am sorry but they didn't mention it in my book

[harsh cargo]

another notation

das alright 😄

[alpine sable]

Oh thanks I'll note it down

[harsh cargo]

every books different

just ya gotta kno

the different meaning

n ways to say it

[shut elk]

@harsh cargo can this be simplified purely algebraically too like multiplying by tan and x?

to get rid of the denominator

i've never done trig, apologies if this is stupid

i was thinking since we have like $\tan^{-1} = \frac{1}{\tan}$ and then we have $x$ as the denominator we just clear that?

[ocean seal]

ex

[harsh cargo]

I don't really understand what you're asking sorry

[shut elk]

np mb mb

[strong furnace]

tan^(-1) is arctan and not reciprocal i

[shut elk]

@strong furnace thanks so much! got it

[hasty valley]

can someone explain how they solved equation 1 & 2

[rigid smelt]

what is that ... before the 1 and 2 supposed to imply?

and they solved it by substitution

[hasty valley]

i’m supposed to find the locus of the point

but i also dk what a locus is:/

[rigid smelt]

still doesnt makes sense, probably just some typing errors

anyway

they found y in x terms by substituting t

did your textbook mention what a locus is?

[hasty valley]

oops nvm i know what it means

[obtuse zodiac]

it's because those are the parametric of some thing here (t+2,t²+1)

[hasty valley]

thanks tho

[patent badger]

Heyh

Can someone help in integrating this ?

[vapid swift]

yeah i'm here too

[patent badger]

Xd

[patent badger]

I tried what you said

[vapid swift]

so how did you write the numerator

[patent badger]

I get integration of x^2 + integration of 3x^2+3/x^3-3

[spare fern]

That looks like a test

It says test on the top

[patent badger]

yh its like a past test

my test is in 7 days

I asked this question in the physics server like 1 hour ago, xd the test would've ended if it was a one

[vapid swift]

you can write $x^5+3=x^2(x^3-3)+3x^2+3$

[ocean seal]

bratindra10

[vapid swift]

yeah this one is correct

[patent badger]

then?

[vapid swift]

so integral x^2=x^3/3

keep it aside

now take x^2 as common in both numerator and denominator for the second term

[patent badger]

but in the numerator there is 3x^2 + 3 and in the denominator there is x^3 -3, how can I take x^2 as a common in both?

[vapid swift]

from numerator x^2 and from denominator x^2

$3x^2+3=x^2(3+\frac{3}{x^2})$

[ocean seal]

bratindra10

[patent badger]

oh ok

[vapid swift]

similarly in denominator too

[patent badger]

ok

then do i remove the x^2s?

[vapid swift]

what did you get?

yes

[patent badger]

k now I got this

[vapid swift]

if you have any queries yet ping me

[patent badger]

3+3/x^2 / x-3/x^2

[vapid swift]

yeah

[patent badger]

how do I continue it xD

[vapid swift]

now split the 3 in the numerator as 2+1

[patent badger]

oki

[vapid swift]

now take just 2 and denominator as one integral

[plucky crow]

,w integrate (x^5+3)/(x^3-3)

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Syphax#3869

[plucky crow]

the fuck

[patent badger]

sheesh

[vapid swift]

did you get it?

[timber temple]

Hey
Can someone help me with translation and image?

[patent badger]

Nope, xD

its fine I will try another method

[vapid swift]

indefinite integrals have different answers depending on the substitution we do

[timber temple]

Can someone please help me

With transformations?

I need help with transformation: translation and image

[graceful cobalt]

Worked out X idk what to do next

[rigid smelt]

is this a test?

[quaint trout]

... no

I mean if you don't know and you accidentally help, it's not your fault. But don't intentionally help people cheat.

[drowsy ocean]

best hard

[alpine sable]

Still need help?

[graceful cobalt]

Yeah, I've looked over the circle theorems but still no good

[alpine sable]

ok you did find x right?

,w 2x-50=(x+62)/2

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by Tasmav#3708

Πολλά άτομα είναι

Πολλά άτομα είναι

[alpine sable]

@graceful cobalt

[alpine sable]

answer these

[alpine sable]

.

[alpine sable]

and did you get x=54?

[graceful cobalt]

Yeah I did

I don't know how to find Y tho

Obc is isoceles

Ob and oc are both equal length because point o is centee of the circle

I see

It can't be that easy for a 5 marker

[rough dove]

how do I solve this?

[glass lichen]

factor and apply 0 product property

[alpine sable]

but it is 🤯

[alpine sable]

Multiply both sides by 0 and u get the equation done

0=0

Quick matfhs

[glass lichen]

dont troll

[alpine sable]

Sorry

[alpine sable]

Csc2x = 1

[cursive bolt]

Given function f(x) and g(x) g(x) is non differentiable at x=k Will f [g(x)] be non differentiable at x=k?

Help me

[alpine sable]

Substract both sides by 2 csc

X = 1/csc

X= sine

[glass lichen]

?????

that is complete nonsense

[alpine sable]

1/csc is sine or cosine?

I cant remember

[glass lichen]

your statement still is complete nonsense

[heady crest]

opposite

csc is 1/sin

sec is 1/cos

[alpine sable]

I see

[heady crest]

the c and the s are "opposite"

[alpine sable]

I hate csc and sec

[heady crest]

indeed

[alpine sable]

Very counterintuitive

[plucky crow]

@alpine sable

cosec, the middle letter is s so its 1/sin

sec, the middle letter is c so its 1/cos

thats how i remember it lol

[peak gorge]

Hey guys, in a discrete system given as
$y[n] = \frac{1}{2} \left( y[n-1] + \frac{x[n]}{y[n-1]}\right)$
with x[n]=α
α being any positive integer
It's asked to prove if this system is linear or not. I did the additive proof, concluding it's not linear. Is it right? Any other way to do it?

[ocean seal]

Speedrow

[cyan field]

anyone?

[tawny lion]

what is csc(x) equal to? @cyan field

[cyan field]

no clue

[tawny lion]

1/what?

[cyan field]

uuhhh

tbh idk

[tawny lion]

csc(x) = 1/sin(x)

what do you know because of this?

[cyan field]

i dont understand

[tawny lion]

this is an identity

csc(x) is equal to 1/sin(x)

the same way that sec(x) = 1/cos(x)

[cyan field]

ok

[tawny lion]

here, you are asked to find cos(x)

[cyan field]

yeah

[tawny lion]

so, we know that sin is positive right? since this is 1/sin(x)

this means that this is either in the first or second quadrant of the unit circle

[cyan field]

dude imma be honest, i really dont understand

[tawny lion]

we also know that 1/sin(x) = 13/5, so sin(x) = 5/13

[tawny lion]

i'm not going to give you the answer

[cyan field]

sin is 13/5

and cos is 13/5?

oh

sin is 5/13

[tawny lion]

exactly, yeah

so sin(x) is opposite over hypotenuse right?

what is cos?

[cyan field]

12/13?

[tawny lion]

yes correct, but it's plus minus 12/13

we don't know where it is located, because cos will be positive in Q1 but not Q2

[cyan field]

oh ok

ty

[tawny lion]

we are able to derive that since sin was positive, it means that it's in Q1 or Q2

so maybe there is some more detail to the problem

[cyan field]

yeah

[tawny lion]

@cyan field do you understand why it's in Q1 or Q2?

S T
A C
imagine this as each quadrant, in the order
Q2 Q1
Q3 Q4

[cyan field]

kind of

[tawny lion]

Q1 = all trig functions are positive
Q2 = sin is positive

Q3 = tangent is positive
Q4 = cos is positive

[cyan field]

here's another question I can't figure out

[atomic plover]

A triangular yard is formed where two roads cross. The length of the yard along one road
is 62 meters. The length of the yard along the other road is 60 m. The length of the yard
not bordered by any road is 49 meters. Determine the angle formed between the two
roads.

<@&286206848099549185>

[tawny lion]

@atomic plover ????

read the rules

the channel is occupied

[atomic plover]

OoPs

sorrryy

[tawny lion]

@cyan field you are given opposite and hypotenuse

sin(45) = x/4

sin(45) = sqrt(2)/2

[cyan field]

hmmm

So

2 angles are 45

1 is 90

and side c is 4

all I need is the length of one more size

*side

[crisp grail]

he just explained what the answer is

[cyan field]

he did?

so i was right

with 2/2

ty

anyone?

I usually know how to work these but never done decimals b4

[wary stream]

Same concept that you've been doing with trig ratioa

[alpine sable]

can anyone help me understad how this got simpflified?

[wary stream]

Isolate Xs

[alpine sable]

so i should bring the 2/5Xs to the right then factor?

[wary stream]

Factor?

[alpine sable]

im just confused how he isolated Xs

[wary stream]

There's no factoring

[jagged trout]

You can try something like:
e^ix = cos(x) + i * sin(x)
0.6 + i * 0.8
to get the angle

[glass lichen]

just solve for x_s

[wary stream]

You don't really need Euler's formula for this, you already have the x and y components

[glass lichen]

bruh

[alpine sable]

do i solve by moving the 2/5x_s to the right hand side then factor it out??

[wary stream]

You don't need to factor. Why would you factor?

[alpine sable]

because im confused

and i dont know wtf im doing

2/5Xp + 2/5Xs = Xs

[alpine sable]

then 2/5Xp = Xs - 2/5Xs

[worn wigeon]

I need some help with this question

[alpine sable]

then factor out the Xs?

[wary stream]

Why factor?

Common denominator

[alpine sable]

becuase i need to get down to one single Xs

[wary stream]

Subtract them

[jagged trout]

For x/5 how many x are needed to make it 1?

[wary stream]

You don't know how to find this?

[cyan field]

ty

[alpine sable]

Thank you so much 🙂

[small fern]

How do you laplace this?

[jagged trout]

np, remember that you most get the answer in RAD and not in DEG

[quaint stream]

https://media.discordapp.net/attachments/816384972973015065/852568931171434536/unknown.png

Help man

[frank nacelle]

please help us

[tranquil parcel]

Plug in for k

So y = a(b^x) -2

[wary stream]

What kind of assignment is this?

[tranquil parcel]

Then plug in 0,1 into your equation

Then you get a

Then plug in a

Then plug in 1,4

For b

[frank nacelle]

thank you

[quaint stream]

It’s for a school assignment I forgot how we solve those so I figured I’d ask

And thanks man

[tranquil parcel]

Np

[quaint stream]

Plug in is equivalent to substitute correct?

[tranquil parcel]

Yes

So instead of K you have -2

[frank nacelle]

so i just have to do the same thing

but for number 1 and 2

[tranquil parcel]

What

Oh

Yes

[frank nacelle]

ight

[hardy vault]

what is the difference if you don't add parenthesis

[small fern]

Help anyone

[wary stream]

You would have a different power

[hardy vault]

whats the power with the no parenthesis

[wary stream]

I just realized, those are two different questions

[alpine sable]

That’s 9 to the power of three so you do three squared first as u do what is in the brackets first then the outside of the brackets so the answer would be 9^3

[young finch]

you would multiply the power in the second one because its a power to a power

for the first one you would do 3 to the power of 2 first then 9 to the power of 3

[wary stream]

B and C are two different questions unless you mean first and second method with how parentheses are used

[young finch]

well B would be the first one and C would be the second one

[hardy vault]

why is it when i use a calculator the answer is 19683

[young finch]

thats the right answer

numbers to a power get big very fast

[wary stream]

Well, B and C are two completely questions

[hardy vault]

how tho

[wary stream]

B is $$(3^2)^3$$

[ocean seal]

dldh06

[young finch]

well 3^2 ia 9 3^3 is 27 3^4 is 81 3^5 is 243 3^6 is 7293^7 is 2187

@hardy vaultto answer your initial question though parenthesis just change the order of operations

[hardy vault]

for C

are you suppose to do 3^3

then you get that asnwer

and square it

[young finch]

no

when ever you have a power to a power you multiply the powers

so it would be 3 times 2

6

3^6

[hardy vault]

oh wait

i get it now

[young finch]

i dont know how i got 9 for that

at first

but yes 3^6

[fervent gull]

HELLO , can anyone tell me the formula to calculate the friction force knowing that the friction coefficient is 0.05

[wary stream]

Google can tell you the formula

[fervent gull]

it's circular

i got no idea

[strong furnace]

context?

[fervent gull]

i need to figure out the force needed to push that object around the cemi circle

[strong furnace]

can you provide the actual problem ?

[fervent gull]

agh

hold on a min

[oak chasm]

@quaint stream Sorry, channel is busy.

[quaint stream]

Ah

[oak chasm]

@quaint stream #help-4 might be open if you hurry.

[quaint stream]

I went to

2 cause it’s open

[gleaming nexus]

Idk how to do this

I feel like its pretty simple but its going right over my head

[heady crest]

do you know the trig identities?

like tan = sin/cos

[gleaming nexus]

yeah

[heady crest]

cot = 1/tan

sec = 1/cos

so do that

rewrite it

simplify stuff, like if i have a sin/sin it's just 1

[gleaming nexus]

is this a good first step?

[alpine sable]

hell

hello

[shell widget]

@gleaming nexus depends on what u wanna do, but yeah i guess

write cot as cos/sin

[gleaming nexus]

its in terms of sin(X)

im trying to simplify in terms of sin(X)

my bad

csc(x) seems like the right answer, but it says thats wrong

[shell widget]

okay so yeah

first write tan as sin/cos

cot as cos/sin

and then split the denominator

so you have sin/cos / 1 / cos

and cos/sin / 1 /cos

so you have sinx + cos^2 x / sinx

recall that cos^2x = 1 - sin^2x

[gleaming nexus]

right

[ivory idol]

can anyone help with this

[gleaming nexus]

sorry im currently using this room, can you move to another questions room please?

So like this? @shell widget

[tranquil parcel]

Don’t forget the x’s

It’s sin x not just sin

[livid lintel]

can someone help with this

[tranquil parcel]

Volume of sphere /2

[livid lintel]

4/3 pi 16^3?

[gleaming nexus]

Where do I go from here?

[tranquil parcel]

Divided by 2 bc it’s a hemisphere

[livid lintel]

so the answer is 8578?

[tranquil parcel]

In terms of pi

Shouldn’t use calculator I think

[gray isle]

calc can be used, just leave the pi out of it

[gray isle]

how are you getting from the first to second line

[livid lintel]

2730 pi

[gleaming nexus]

Someone wrote something like that here in the chat, you can ignore it

[tranquil parcel]

Find a common denominator for the numerator

[alpine sable]

A C AD + BC
---- + ---- = ---------------
B D B*D

[tranquil parcel]

Exactly like this

@gleaming nexus

[lofty nacelle]

how do you do this?

[tranquil parcel]

Channel is already in use sorry

[gleaming nexus]

Sorry bout the poor hand writing

[tranquil parcel]

Yeah so do you know what sinx * sinx is?

Same goes for cost

Cosx

[gleaming nexus]

Sin^2(x)?

[tranquil parcel]

Yes

Same goes for cos x

So

Should you give your answer in only sinx ?

[gleaming nexus]

Yeah

[tranquil parcel]

In the denominator you wrote cosx twice

[gleaming nexus]

Oh my bad

[tranquil parcel]

It’s sinx cosx

[gleaming nexus]

I know, I just wrote it wrong

[tranquil parcel]

Ok

So

[alpine sable]

Note : Trig Identity
sin² ＋ cos² = 1

[tranquil parcel]

Yeah

So replace the cos^2 (x) with 1 - sin^2 (x)

[alpine sable]

sorry for interrupting you SRK

[tranquil parcel]

No problem

[gleaming nexus]

Oh wait

[tranquil parcel]

No don’t replace it with 1

Bc your final answer should be in terms of sinx

Or doesn’t that matter

Idk

[gleaming nexus]

Idk how to write an answer in terms of sin(x)

If cos^2 + sin^2 = 1 shouldn't it be 1/cos(x)*sin(x)?

[tranquil parcel]

Yes

[gleaming nexus]

Is that the final answer then?

[tranquil parcel]

Ni

No

Bc your answer should be only in terms of sinx

[gleaming nexus]

So what's the answer? I'm very confused

[tranquil parcel]

Hol up

Ok so

You have 1/cosx *sinx

And that you divide by 1/cosx right?

[gleaming nexus]

I think?

[tranquil parcel]

That is what you now have right

[gleaming nexus]

Yeah