help-0

[hidden fjord]

i seeeee

[flint badger]

$\left(p^5\right)^{10}=p^{5\cdot :10}$

[ocean seal]

eggdog

[flint badger]

or in other words

$\left(a^b\right)^c=a^{bc}$

[ocean seal]

eggdog

[proven heart]

That is when you take the power to another power.im talking about multipliying /dividing terms with powers

[hidden fjord]

ok

[flint badger]

yea thats different stuff

[proven heart]

And yes you will get negative numbers when add/subtract the powers .BUT negative powers just mean that they are the reciprocal of the positive power term

[flint badger]

@hidden fjord basically i dont like to hit rules at you but since you get the idea this will be true:

$:a^{-b}=\frac{1}{a^b}$

i should stop doing that

[proven heart]

Yep

[flint badger]

$:a^{-b}=\frac{1}{a^b}$

[proven heart]

What bro 😑

[ocean seal]

eggdog

[proven heart]

Oh nvm

Anyway gtg bye

[flint badger]

bye

[hidden fjord]

i need to just practice this a bit more

and ill be good

[flint badger]

so @hidden fjord you know when you had

$\frac{x}{x^3}$

[hidden fjord]

i cant believe u taught me more than my lazy math teacher in a week

[flint badger]

in that one problem

[ocean seal]

eggdog

[hidden fjord]

yes

[flint badger]

thats basically just the same as

$x^{1-3}$

[ocean seal]

eggdog

[flint badger]

and that's x^-2

which if you apply the rule is 1/x^2

[hidden fjord]

yea, because of the rule

yes

[flint badger]

so thats how you got x^2 at the bottom

yea have fun with algebra

[hidden fjord]

fr

[flint badger]

i had a bad algebra teacher

[hidden fjord]

homie, have a great day/night, if I could pay u back I would. ur the best

[flint badger]

you too,

gn

[hidden fjord]

have a good one!

[vapid herald]

is this just +- infinity

[glass lichen]

dont crosspost

[minor dagger]

can someone please help me with b

<@&286206848099549185>

[proven heart]

Ok so....you note the critical values first.but since the question specifically asks about 1(one).that's the only critical value .we gotta worry about here

[proven heart]

For the a)part atleast

@minor dagger you there?

[minor dagger]

Yes

[proven heart]

Hmm so now you approch value 1 for the left side and from the right side using limits

Hope you know those right?

Left limit and right limit?

Oh wait you just wanted b part nvm 😑

Well if you knew that g was continuous at x=3 ,then Left limit at x=3 and the Right limit at x=3 and the function value at x= 3,all must be equal

Get three equations and play algebra with them ,and you get c.and I hope you know how to do that?

[proven heart]

Or just two equations .Idk.BUT either way you should be able to solve for c

[proven heart]

Do you get it?

😅

[minor dagger]

I’m processing ToT

So for an equation I input 3 where x is and got 8/3

[proven heart]

Oh .ok 👍.process slowly and concretely .should be able to get it

[proven heart]

In which equation did you input it tho?

Do you Voice chat?

If you comfortable with dat?

[minor dagger]

The square root equation

[proven heart]

Bro ,you are actually right .well done

[minor dagger]

Thank you, I have one more question

I need help with c

@proven heart

[native cloud]

Is there a channel for physics?

[alpine sable]

#old-network

[bold panther]

Could someone help me with these two problems?

<@&286206848099549185>

[tight locust]

if an integer k is divisible by 5, then ?

[bold panther]

then k is also divisible by ten(?)

[tight locust]

yeah sure. you could write it as the set of integers k such that k = 10n

[bold panther]

it says that its wrong T_T

[tight locust]

10n, where n in Z

[bold panther]

tyyyy

[alpine sable]

Can anyone help with c and d I’ve already done a and b

[kind turret]

hi I need help with doing 3n[(2n^2+7n-8)+(-2n^2+3n)] please show work its not for a test its just I have trouble timesing the equation because my parent was drunk and my brother was tired and high so he just rushed it

[tight locust]

lmao

,w (0.82)^6(1-0.82)^2

[ocean seal]

Results provided by WolframAlpha

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

Requested by EndTimes#8053

[tight locust]

,w 0.82^6

[ocean seal]

Results provided by WolframAlpha

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

Requested by EndTimes#8053

[alpine sable]

Should I just repost mine since it got clogged up

[kind turret]

,w

[tight locust]

i gave you the answers

[dusty quiver]

is this something divided by 20C16?

[alpine sable]

Oh I didn’t even notice ty

The bottom answer is for question c right?

[tight locust]

d

[wary stream]

Don't give out answers

[stone ruin]

do barycentric coordinates go from the corners

or the edges

[fervent cairn]

Is there any difference in how a function is read when it is phrased like this?

that's just a different way of saying inverse of f(x)

[keen mulch]

Shouldn’t the new graph be translated 1 unit left and 2 units up?

[fervent cairn]

Oh the graph just started like that

I wanted to ask before I did anything

[keen mulch]

Oh

[fervent cairn]

So you do read it the same way

[keen mulch]

Sorry read it the same way as what?

[fervent cairn]

as a normal function

I was confused as if you would read it any different based on how it's written in the question

[next spear]

i have no idea how to ddo this can i get some help please?

[fervent cairn]

While usually it is f(x)=x, it is written as y = f(x)

[keen mulch]

F(x) and y can be interchanged

[lapis goblet]

you can use diamond method

[keen mulch]

Like y=x and f(x)=x is the same thing

[fervent cairn]

yeah but how can you read a graph when you just have y=y

f(x) as written is y too no?

[next spear]

sorry?

[fervent cairn]

that's what I thought at first

[keen mulch]

Y=y wouldn’t be a function

[next spear]

thanks

[wary stream]

https://youtu.be/U6FndtdgpcA?t=110

[lapis goblet]

yeah many ways

[next spear]

thanks

[fervent cairn]

Why would you ever phrase a function like y=f(x) then?

[lapis goblet]

It’s just for simplicity’s sake

Just naming one variable the output of another function

So instead of writing f(x) every time you just write y

[fervent cairn]

Why not just write y=x lol

[lapis goblet]

Also it helps to visualize in an xy- Cartesian plane

[fervent cairn]

when you write f(x) it reads as.. function of x

I guess

[lapis goblet]

Because that’s what it is

[keen mulch]

F(x) is still a variable

[fervent cairn]

okay but y=f(x) literally means f(x) = f(x) no?

[lapis goblet]

A function f(x) that is dependent on the inputs of x

[ancient saddle]

y = f(x) means that the y-coordinate is a function of x, you don't take for granted that y is just f(x)

It's used for graphing a function f(x) in a cartesian plane

[lapis goblet]

^

When doing things in higher R^n space you can set the function equal to z, for example, for xyz-space

So instead f(x) = y, you can have z = f(x)

For now just think of them as equivalent though

[fervent cairn]

I dont understand the application of the concept at all; you can graph a function already in its normal f(x) form

[rigid wind]

that expression is to tell you y is a function of x

there are properties for a function, for example there's only 1 y value for every x in its domain

and you can think of other analysis like taking derivative of y w.r.t x

[lapis goblet]

I think that’s called injective

[fervent cairn]

Yeah I think i'm definetely confused; the way I understand what ure saying rn is that for this question, for example, you would put the function in this shape

and I know that's not it because it's not letting me do that lol

Oh wait

I think I got it

[lapis goblet]

What that question is asking is what happens when you transform the function by some scalar

In this case -1

[keen mulch]

I have a formula sheet which might help @fervent cairn

[fervent cairn]

so just this?

[ancient saddle]

When you graph f(x), you graph a collection of points over the cartesian plane where y=f(x) at every point. That's what is usually used for graphing one variable functions, but there are other type of curves that can be graphed on the cartesian plane. For example, both x and y coordinates can be a function of some parameter t -> x=f(t), y=g(t), that would create a curve too, where y is not a function of x

[fervent cairn]

So kinda like piecewise functions?

Where it just has certain, different, specifications for the what the function is

[ancient saddle]

that's just a one variable function

it's just graphed with y=f(x)

[fervent cairn]

ye a different specification

[keen mulch]

Do you understand why they’ve used f(x)?

[fervent cairn]

Yes, they're specifying that the Y values are the input

and the X values are the output

[quartz osprey]

how do i go about solving this problem

[fervent cairn]

while in standard form it means that

[quartz osprey]

i dont know how to get started

[fervent cairn]

the X values are input

the Y values are output

[fervent cairn]

also can someone verify here? this question only has one attempt so I wanna be sure

[keen mulch]

I think the point (-5,-3) needs to be come (-5,3)

[ancient saddle]

yes, -f(x) is just f(x) with the opposite sign

[past sundial]

Can someone explain in simple terms why a volume of a sphere is 88/21 r^3?

[quartz oxide]

it’s 4/3(pi)r^3
But if you take pi=22/7 it becomes 88/21

[past sundial]

But why 4/3

That’s really random

[quartz oxide]

:/
I don’t think there’s an easy proof that doesn’t involve calculus

[past sundial]

Could u uh try to explain and I’ll ask if I don’t get what u’re saying?

[quartz oxide]

https://youtu.be/2IZh-KIAQLE

Maybe you can check out this video

[past sundial]

Kk

Thanks

[quartz oxide]

This isn’t calculus as far as I know

[worthy falcon]

Help pls

[keen mulch]

Have you made a start?

[worthy falcon]

?

A start?

[keen mulch]

Do you know how to start it

[worthy falcon]

Oh

Nope

[wary stream]

Factor using whichever method you know

[past sundial]

Wait now it introduces that a cone is 1/3 of cylinder
I’m now confused
How does that work?

[quartz oxide]

Well it’s like a 3-d version of triangle
Triangle is 1/2 of rectangle
And cone is 1/3 of cylinder

[stone ruin]

okay

so this triangle is in 3d space

i have the x/y/z coordinates of all of the vertices on the triangle

but only the x/y coordinate of that blue dot

how do i find its z coordinate

[next spear]

it just does ig

dont think abt it too hard

[next spear]

i dont think they know the method....

[pliant warren]

how to solve DE?

[celest perch]

how to do this

z is complex number

[raven rover]

I think you need to find the magnitude of the complex number (I'm not sure what the correct terminology is)

But you figure out exactly what's inside the absolute value bars (magnitude) or whatever

Something like that?

[full musk]

hiiiii do you guys know the equation for this sequence

[rigid wind]

seems like +5 then -10 then +5 then -10

[full musk]

how do i write that as an equation?

[pliant warren]

use the 0/0 rule

L'Hospital's Rule

when both numerator and denominator are 0 on lim then use L'Hospital

[jagged imp]

clyda what makes you think its .278 rad? Don't you get arctan(0)?

[pliant warren]

16-16 = 0

[jagged imp]

its not 0/0

[pliant warren]

112-112=0

[lapis goblet]

It is 0/0 lol

[jagged imp]

ok i misread the problem

i thought it was 28x

ill see myself out

can't deal with the shame

[pliant warren]

nooo help me on DE

Im dying here

[jagged imp]

might it not just want an exact answer?

it is arctan(2/7)

[pliant warren]

you differentiate both

[jagged imp]

just try arctan(2/7)

instead of a decimal approximation

[pliant warren]

.

[jagged imp]

since it doesn't give an amount of d.ps

[pliant warren]

need help tho.

[jagged imp]

decimal places

[lapis goblet]

It’s because

[jagged imp]

i said arctan(2/7)

not 2/7

[lapis goblet]

You factored the top wrong

Difference of squares

[jagged imp]

the top is not (x-4)^2 lmfao

[lapis goblet]

Wait what

[jagged imp]

freshmans dream moment

[lapis goblet]

damn bro I’m forgetting this shit

[pliant warren]

this is precal right?

[jagged imp]

,w limit as x approaches 4 of arctan((x^2-16)/(7x^2-28x))

[ocean seal]

Results provided by WolframAlpha

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

Requested by Sneaky#0928

[jagged imp]

look, it is literally arctan(2/7)

if theres an issue with putting in arctan(2/7)

thats an issue with the program

not you

arctan(2/7) should be correct

[lapis goblet]

What program are you using

It should have like a symbol box or something

In the on screen keyboard maybe

[pliant warren]

You differentiate then put lim

you will get arctan 2/7

[lapis goblet]

His problem is inputting into his program

[runic pulsar]

how do i work this one out

[upbeat gorge]

If you’re taking a calculus class, you can use limits, so make the left-side limit at 7 and right-side limit at 7 equal to each other

[strong vapor]

What should I do with this😭😭

I spent 45 minutes and I got a wrong answer

[crisp grove]

[alpine sable]

Is this solution correct?

[runic pulsar]

@upbeat gorge thats actually what i tired but it didnt work

[clear vessel]

Find the value of p and a if 2x^4 -+ px^3 + qx -4 leaves a remainder of 36x + 32 when it is divided by x^2 -2x - 3

[upbeat gorge]

Show your solution

[strong vapor]

Help me😭😭

[alpine sable]

Ban me plz

PlZ

[runic pulsar]

@upbeat gorgei did, i put c=7 and it showed as wrong

[upbeat gorge]

Send a picture of your rough working

Or your solution

[runic pulsar]

no working because i dont know how to get the answer, so i wanna know how do i work this out

[upbeat gorge]

Don’t get confused by the notation of the hint

You’re looking at $\lim_{x\rightarrow7^-}f(x)=\lim_{x\rightarrow7^+}f(x)=f(7)$

[ocean seal]

CST

[golden kettle]

can someone help me with this one

[little anchor]

Hey

Is value of y = 18

Just for confirmation

[lost gorge]

Yep

[little anchor]

Thx beluga jr

[lost gorge]

Np artist Hecker

[little anchor]

Lol

[hardy geyser]

i did the math it’s 5 cents but how is it 5 cents without doing math 😭

[cursive crescent]

What is “without doing the math?”

[hardy geyser]

like this

how i explain it without doing the math

i can’t understand

[cursive crescent]

I mean mental math will tell you 5 cents pretty quick, because 1.05 is a dollar more than 5 cents and the total is 1.10 with a difference of 1

But that’s still doing the math. Any method of solving would technically be math

[hardy geyser]

how is it not .10 cause .10 plus 1 dolla

[cursive crescent]

Because that would make the total $1.20, which is 10 cents too much

So we know we need 10 cents less, or 5 cents less on each

So 0.05 + 1.05 works

[hardy geyser]

lemme read over this i’m still confused 😭

@cursive crescent OK YES I SEE! THABK YOU!!!!

[cursive crescent]

No problemo

[hardy geyser]

@cursive crescent i read it as your adding plus the ball is that good or is it flawed ?

[jovial edge]

How do I calculate this?

[feral merlin]

what is the meaning of C we use in the bottom of a integral
does it is a representation or we can put any equation there

the c denotes the limit right if we are doing it for circle and remove the c we can write it from 0 to 2π

[placid zinc]

C is the curve

"curve" being whatever path we're taking the integral over

@feral merlin

[neon widget]

hello

[alpine trench]

poisson distribution then binomial

@jovial edge

[jovial edge]

Oh

So we use Poisson distribution for determining the probability that a lift will be unacceptable

And then use that probability in a binomial distribution

[alpine trench]

yes, it says the number of breakdowns is poisson distributd

[stark plover]

The Question

The Markscheme

My working out for part e

,rotate

[stark plover]

Can someone please help my understand why in part e: r = (1+0.004)^12 when the Q states that it’s compounded monthly?

[alpine trench]

https://tenor.com/view/peace-out-gif-22295199

[serene yarrow]

[proper dove]

Anyone can help with the lesson "Evaulate limits graphically"?

[alpine sable]

thought it is 2 * acb?

apparently its not 80

no idea

can some1 pls help me

[feral merlin]

@placid zinc ok so its just a represntation right it just mean curve

[void solar]

AOB is an isosceles

[alpine sable]

a1 = 180-90-40=50

[void solar]

2AOB = ACB
AOB = 20
OAB = OBA
180 - 20 = 2OAB

[feral merlin]

But if i want to remove the integral and write it in normal form can like for a circle
I cam write the limits from 0 to 2π

[magic jacinth]

[alpine sable]

oab is not 80

already tried it

[void solar]

maybe answers wrong?
should be

[feral merlin]

@placid zinc i mean this

[magic jacinth]

[alpine sable]

it was 50

[void solar]

So AOB = 80?
But then 2AOB dosent equal ACB
Am i missing something?

[alpine sable]

no idea

[fiery creek]

any answers?

[void solar]

Do you know the change in y and change in x

[alpine sable]

I’m 12

[white meteor]

any1?

[fiery creek]

nu

[alpine sable]

Q+2

[white meteor]

thx

[teal stone]

gutenmorgen

i need some help

[jagged trout]

Moin

[alpine sable]

With what

[fiery creek]

hlp meh

[void solar]

x position in point 1 is 6 x point in point 2 is -2
-2-6 = -8
x position in point 1 is 8 y point in point 2 is 2
2-8 = -6
Now you pythag

[fiery creek]

nvm

[alpine sable]

What is the answer to this???

[teal stone]

with a question

[alpine sable]

1+-2

[void solar]

Heres a way i explain negitive numbers
Lets represent postive numbers as apples
and negitive numbers as worms that will eat one apple each

4+-2 is like saying you have 4 apples and plus 2 worms which will eat two apples. Leaving you with 2 apples
Whenever you plus a negitive number its the same as minusing that number

1+-2 is the same as 1-2

[teal stone]

"the number of diagonals of an ABCDE polygon, knowing that the bisectors of sides AB and CD form an angle of 30º is:"

[alpine sable]

@void solar stay high is my favourite song lol

[teal stone]

this question

[alpine sable]

@void solar thanks so much add

Add?

[void solar]

addition

[teal stone]

little help?

[void solar]

Probability of first red sweet is 3/5
probability of second sweet is 2/4 because he ate one red sweet
then times them

[void solar]

Intersection means they have the same y value so you can equate the two equations
x+1 = px + q when x = 1
1+1 = p+ q

[alpine sable]

@void solar how come your not a helper you are so good at helping people

[white meteor]

thx @void solar

[alpine sable]

You should be promoted

[white meteor]

so confusing

[alpine sable]

Yeh

[void solar]

You guys are the only people i've answered because well its pretty simple

Im still learning myself

[void solar]

abcd = a x b x c x d
sub in a and c

[lapis stream]

So is this over?

[void solar]

Would assume so

[lapis stream]

There is a series of simplifications i don’t understand

Let me write it

First of all

How do you divide the two numbers there by two when the two is stuck in a weird place?

[rigid wind]

shouldn't matter where it is

you divide both sides of the equation by 2

and distribute /2 properly

[lapis stream]

From 1-262144*r they extracted 1-r somehow

And then it went away with the other 1-r

[forest sage]

Use the formula

[white meteor]

ohh thx

any1 knows this

[void solar]

You know what the equation is for liner equation

[white meteor]

i tried doing y minus y0 equals m times x minus x 0

but it aint working

[gray isle]

can you show all your work

[white meteor]

i got -k=3n-30

[gray isle]

you are told that ||the line also passes through the origin||

apply ^ to get the values of k and n directly

[void solar]

You have gradient and y-int so you should have equation

[gray isle]

instead of applying slope formula using (6,k) and (n,12)

[void solar]

Find equation
Sub K into equation and solve
Do same with n
k-n

[white meteor]

is it 122

*22

got 10 seconds

left

[void solar]

Is this a test

[white meteor]

no its an excersice

im solving

[void solar]

Your not allowed to ask for help on a test

Hmm

Sus

[white meteor]

AHAHHA

ong it aint a test

dw

[jagged trout]

@lapis stream

699050 = (2 - 524288*r)/(1-r) // (2 - 524288*r)/(1-r) that's not good, let's try to bring the divisor to something like (2-...r)
699050 = (2 - 524288*r)/(1-r) | :2
699050/2 = ((2 - 524288*r)/(1-r))/2
349525 = (2 - 524288*r)/(2*(1-r)
349525 = (2 - 524288*r)/(2-2r) // (2 - 524288*r)/(2-2r) is better because the divisor has the same form

349525 = (1 - 262144*r)/(1-r) // The 2 is gone but fairly, that was not needed directly
349525 = (1 - 262144*r)/(1-r) |*(1-r)
349525*(1-r) = 1-262144*r | *(..)
349525 - 349525r = 1 - 262144r |-1 + 349525r
349524 = 87381r | :87381
r = 349524/87381
r = 4

[void solar]

@white meteor I already gave you the steps to solve it

[white meteor]

@void solar yeah yeah i got it

thanks alot

appreciate it

[lapis stream]

Thanks

I’ll need to stare at it for a bit

[sullen moat]

i'm trying to map images of mars

here's what i'm trying to map https://www.uahirise.org/ESP_011405_0930
if you open "black and white map projected" and "black and white non-map" you'll notice the difference between the two

i need to figure out the angle to rotate the non-map image
i have the minimum latitude, maximum latitude, easternmost longitude, and westernmost longitude

so i have the four border points, not sure that's really helpful
i also have a bunch of angles, but i'm not sure which are needed. there are some on that page.
anyone familiar with this?

[jagged trout]

@lapis stream

// Or a little bit shorter
699050 = (2 - 524288r)/(1-r) | *(1-r)
699050*(1-r) = 2-524288r | *(..)
699050-699050r = 2-524288r | -2+699050r
699048 = 174762r | :174762
699048 / 174762 = r
r = 4

[lapis stream]

What does | mean?

[jagged trout]

What you have to do

[chilly zodiac]

How do I solve $x^4+x+1=0$?

[ocean seal]

Lightaris

[jagged trout]

@lapis stream

699050 = (2 - 524288r)/(1-r) // First we multiply with (1-r) | *(1-r)
699050*(1-r) = ((2 - 524288r)*(1-r))/(1-r)
699050*(1-r) = (2 - 524288r) // (1-r)/(1-r) = 1
And so on...

[crisp grove]

u r memeing here?

[woven idol]

should this be 5x only or 5x + 5, or 6x?

[lapis stream]

I get this one finally

Wait I should have learned this particularpoint years ago

I’m not good at triple fractions

[jagged trout]

You will multiply both sides with 1/2 😉

because $699050/1 * 1/2 = 699050/2$

[ocean seal]

Moriarty

[lapis stream]

Same thing as dividing by 2

[jagged trout]

Yeah, but when you have a fraction, a division is a multiplication of the divisors:
$\frac{2-524288r}{1-r} * \frac{1}{2} = \frac{2-524288r}{2*(1-r)} = \frac{2-524288r}{2-2r}$

[ocean seal]

Moriarty

[lapis stream]

So this was originally a geometric sequence

A1= 2

An= 524288

I don’t know how but n=10

Sum is 699050

[jagged trout]

@chilly zodiac

x^4 + x + 1 = 0 |-1
x^4 + x = -1 | x()
x * (x^3 + 1) = -1

So x * (x^3 + 1) must be negative, that's only possible when x xor (x^3 + 1) is negative
and x^3 + 1 must be the inverse of x, that's not possible when you are in R, the solutions must be in C

[jagged trout]

What do you mean with, you don't know?

[jovial edge]

Hi, may I dm you about the solution?

[lapis stream]

Yeah

[rapid coral]

how i can get the vaule of 45?

360 is the 100%.
360 =     x= 0, z= -2
180 =    x= 0, z= 2
45 =    x= ¿?, z= ¿?

[chilly zodiac]

alright thank you so much

[rapid coral]

type this

[jagged trout]

this

[jagged trout]

Did you mean, you will find the geometric series formula?

[lapis stream]

We’ve got the equation for the sum of the values of the series

And we needed to extract r

But first we needed n

[rapid coral]

please

[dawn osprey]

hey

[jagged trout]

And what's the problem with this?

[dawn osprey]

can we post any type of question in here?

[lapis stream]

I guess

[dawn osprey]

or should i say, put an analysis question in pre calc

[dawn osprey]

alright

[lapis stream]

Where does n come from?

[alpine nacelle]

If you don't translate the problem, Moriarty will probably have a hard time explaining

You can solve again from the beginning

[jagged trout]

@lapis stream
Sum for geometric series

$S_n = \frac{a*(1-r^n)}{1-r}$

[ocean seal]

Moriarty

[jagged trout]

@lapis stream You see, n is the number of the sum of the nth step of the series

[lapis stream]

Wait, i think i may be able to solve it

[unkempt umbra]

in first order logic, is the formula itself a subformula of it?

[rapid coral]

the maximum number is 360, type 360 = 100%, 180 = 50% ... 360 contains these unknowns x = 0 and z = -2. How do I know the unknowns if the number is 45?

x and z are coordinates
guy... what coordinates would you give me if the number was 45?

help... plis

[alpine trench]

😳

[alpine sable]

hello everyone! does anyone here understand macedonian?

[jagged trout]

when the macedonian is written in english then yes

[alpine trench]

Can't you just write in the server?

[hushed pasture]

you'd better translate for increasing your help chance

[jovial edge]

I can

So I just feel like it’s kinda suspicious how the solution was fully typed out

Do you have like the answer sheet for the assignment…

[alpine trench]

No

I wrote it myself

[jovial edge]

You actually typed that whole thing out just for me?

[alpine trench]

Yeah

[jovial edge]

Wow thanks man

[alpine trench]

I have probability theory also

Just had a lecture about poisson distributions

[jovial edge]

Ah, I see

[alpine trench]

So I also wanted to test myself :P

[jovial edge]

My professor actually uses the same colors and style in his solutions

[rapid coral]

anyone can help me whit this? #help-9 message

[alpine sable]

What did I do wrong?

supposed to be -(x+2)^2 i think

in 3rd step

[gray isle]

lack of parenthees

[alpine sable]

or maybe just simplify 2nd step as it is

that will give you a mistake less answer

cause if you take 1 out as common , there maybe some mistakes in the sign that you might not notice

[next patrol]

is the answer 2.5cm and 7.2cm

i just need confirmation so i know how to answert these types of questions

[sturdy monolith]

i guess it is 2.5 , 12 @next patrol

as frequecy 8 is represented by 8cm then frequency 12 should be represented by 12 cm

[next patrol]

thats true let me recheck my calculations

acc

no it is 7.2 i am sure

bc the class width is different

anyone else?

opinions?

[sturdy monolith]

can u show ur calculation?

[next patrol]

@sturdy monolith

2.5cm*

not 3

[alpine sable]

'rotate

can someone help me with this please

i dont get the former part of the proof

[charred flint]

@alpine sable which part exactly?

for integer polynomials roots are always pairs like a +/- sqrt(b)

unless b is 0 but yeah

[cedar topaz]

can someone help me explain

[charred flint]

coterminal is just adding or subtracting 360 as much as you need to

[alpine sable]

keep adding or subtracting 360 until its in the range 0<x<360

[cedar topaz]

ah alright

[alpine sable]

the part where R(x)=P(x)-2018

[alpine sable]

multiplying it with its conjugate makes sense since the coefficients must be integers

[charred flint]

oh so the problem says P(m)=2018

so if you want to make it a polynomial* that equals zero you need to subtract 2018 first before you do things

[tawny fox]

What is 1+1 if not 2 🔫

[alpine sable]

then 9+10 is not 21

[alpine sable]

oh i see, so why is R(x) = (x^2+x-4)Q(x)+rx+l

[alpine sable]

im more confused with the rx+l part

[crude hazel]

how do you solve for initial velocity in a projectile given the launch distance and the airborne time

[jagged trout]

d/t?

[tight locust]

y(t) = 1/2at^2 + v0sin(theta)t + y0
x(t) = v0cos(theta)t + x0

[charred flint]

I have no idea why the rx+l part is there O_o

I'd think you can just skip to R(x)=(x^2+x-4)Q(x)

[tight locust]

a, t, x, and y are presumably known

[tight locust]

oh this is really simple. assuming x0 is 0

[crude hazel]

y0 is not 0

[tight locust]

is x0 0?

[alpine sable]

i see thanks

[crude hazel]

x0 is not 0 either

[tight locust]

what is x0?

[crude hazel]

4m

[tight locust]

it doesn't really matter anyways. what matters is delta x

[tawny fox]

9/10/21 for the rest of the world today

😳

[tight locust]

delta x = v0 cos(theta) t

deltax/(t*cos(theta)) = v0

[crude hazel]

@tight locust would -y0 = v0 * sin(theta)t - 4.9t^2?

nvm I get it now

[mental pewter]

help

[eager badger]

hi, just curious about the interval [0, 1). this has no maximal element right? i'm slightly confused

[steady jewel]

it doesn't

[median dagger]

what would be the easiest way of solving this?

[steady jewel]

2y = 4(a-1)

2y= 4a-4

4a-2y=-4

[median dagger]

but how did u get 2y=4(a-1)

[steady jewel]

Idk how to explain in english hold on 😂

[median dagger]

can u join vc

for a sec

[silver axle]

multiply by the denominators

multiply everything by y(a-1)

and then you get 2y = 4(a-1)

[steady jewel]

ohhh denominators

in my language it is another word

much smaller

[silver axle]

xd

[steady jewel]

didn't know in english

🤣

[median dagger]

im so confused

can u join vc

and expalin

[silver axle]

basically

do you agree with me

that any number divided by itself (for example, 3/3)

is equal to one?

[median dagger]

yeah

[silver axle]

ok

so if i have 4/y

do you agree with me

that 4*y / y*y = 4/y

[median dagger]

wouldnt u move the 4 over there since its multiplied it would be divided there

so 2/4(a-1)=y

[silver axle]

is equal the same?

[median dagger]

yes

[silver axle]

so you multiply everything by y(a-1)

and then you have

2y/y(a-1) = 4y(a-1)/y(a-1)

with me so far?

[median dagger]

no 😭

i need to see someone do it on paper

[steady jewel]

what grade ur in

[median dagger]

10th but i have psat

OHH

u HAVE TO CROSS MULTIPLY IT

[steady jewel]

yes

[median dagger]

i got it now thanks

[steady jewel]

np

[fading summit]

is 3 congruent to 5 (mod 2)?

it seems so counterintuitive but by definition is seems to be true

3 - 5 = -2, and that is divisible by 2

am i missing something?

[glass lichen]

Yes they're both odd

[median dagger]

ok how ab this one

so ^-1/2 would become

a=1/x^2

[fading summit]

ah wait i think i was misunderstanding, does a is congruent to b (mod m) really mean that a mod m equals b mod m?

cos im coming from a code mindset where modulo means remainder

[eager badger]

so the lemma isn't true or?

[glass lichen]

Yeah it's remainder

Both 3 and 5 have remainder 1 when divided by 2

So they're congruent mod2

[fading summit]

got it

[lethal pike]

How do I solve this ?

[remote heron]

whats your hypothesis?

any thoughts?

@lethal pike

o gees i may have cann of worms here i didnt read the whole problem

[lethal pike]

Well sure, I solved something similar.
I think it goes along the same reasoning.

[steady jewel]

romania

[lethal pike]

yes.

[steady jewel]

sal

[lethal pike]

Salut, hai mai bine pe privat in romana ca sa nu faca astia urat.

I'll try to solve it alone.

[unreal kettle]

hi all, for question 2: is option 1 true as well?

also, is it true that for any given matrix A:

rank(A) always = rank(A ^t)

but

nullity(A) not always = nullity(A ^t)?

[tropic dagger]

considering the parabola y=ax^2+bx+c, how can i convert it into vertex form (identify the x and y cords of the vertex), then when i have it in vertex form, find the roots? this is done algebraiclly using just y=ax^2+bx+c, so just symbolically. if anyone has any resources on this please let me know it would be greatly appreciated!

[alpine valley]

Can someone help explain this to me?

[steady jewel]

dam

[median dagger]

@steady jewel yk this?

[rigid kiln]

so I get that r is the identity element now, but I don't understand how q is the inverse

can someone explain?

waaait nvm i'm dumb

[mellow juniper]

Hey Shah, what situations do you thing a set of functions will produce no answer ?

[rigid kiln]

s*q = identity

[mellow juniper]

More importantly, what is an answer to a set of functions in the first place?

[agile sluice]

So this is the question in my book.
line n is parallel to line m ( 5x - 2y = 15 ) and goes through point C ( -10, -15 ).
compose an equation of line n in px + qy = r
can someone help me do this? i know that directional coefficient of line m = directional coefficient of line n so p = 5 but how do i continue now that i have 5x + qy = r?

[alpine sable]

Can anyone help me out with how he factored this polynomial? I can't tell what solution he used:

[thorn kindle]

This is very simple

What is the derivative wrt x?

@agile sluice

[mellow juniper]

Ossi do you know what makes two lines parallel? (in terms of slope)

[agile sluice]

euhm idk lol, im from netherlands and never heard of that

[agile sluice]

no lol

[mellow juniper]

Alright that is the concept behind this question

what makes two lines parallel is that they have the same slope

do you know what the slope of m is ?

[royal meadow]

p will be 5, q will be -2

nothing necessitating derivative

[agile sluice]

why is q -2

[royal meadow]

because it's parallel to 5x - 2y = 15

[agile sluice]

owh that way

then its pretty easy

[mellow juniper]

That's what I was trying to get you to see. You need the same slope value

[agile sluice]

yeah thanks, i only did it for behind the x lol

[frigid gorge]

how do i solve this

[alpine sable]

Can anyone help me out with how he factored this polynomial? I can't tell what solution he used:

[alpine sable]

The 81 degree angle is on a straight line so the angle next to it is 99 degrees. 99 + 4x + 5x = 180. Solve that for x.

[thorn kindle]

Well it's simple. You need to find some (ax+b)(cx+d) = 3x^2 + 7x + 2

Expand the left side

acx^2 + (ad+bc)x + bd

Now you have a system of equations:

[alpine sable]

What's that formula called though?

[thorn kindle]

Um its just basic algebra lmao

[royal meadow]

it's not called anything

[alpine sable]

See I've done plenty of factoring of polynomial work but I'm drawing a blank here.

[thorn kindle]

ac = 3, ad+bc = 7, bd = 2

[frigid gorge]

someone help

[alpine sable]

1305 + 2918

u do the calc

https://cdn.discordapp.com/attachments/879132863117791273/896447895514013766/unknown.png

some1 help me on this 1

[agile sluice]

isnt this just E

[agile compass]

What have you tried Murphy

[alpine sable]

https://cdn.discordapp.com/attachments/879132863117791273/896448373060673597/unknown.png

[agile compass]

That seems correct

[alpine sable]

I AM GENUINELY FUCKING ANGRY

[frigid gorge]

i need an explanation

[agile compass]

Thats the same

[alpine sable]

this.

[agile sluice]

you just do 2918 - 1305 and thats it

[alpine sable]

huh

he used his entire paycheck and paid 1305 and 2918

paychech is 1305 + 2918

[agile compass]

$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$

[ocean seal]

Tiessie

[agile sluice]

wait because i dont understand that text lmao, this is like 8 year old math but its confusing af

[royal meadow]

it's not the same

it's because when you have x^2 = n/h

[alpine sable]

not it was just 1 ans

[royal meadow]

x = +-sqrt(n/h)

[alpine sable]

apparently i needed to do + thingy

[royal meadow]

because if a^2 = b, (-a)^2 = b also

[agile compass]

Oh yeah

[royal meadow]

there are two answers

[agile compass]

Exactly

[alpine sable]

there is a neg

and a pos

the ans was the pos one

if a proper math teacher

was to read what i wrote

100% sure no1 would disagree with my ans

[frigid gorge]

no it wasnt e

[agile sluice]

then it H

[alpine sable]

no way

u said it was e

imagine

at this point drop out of 1st grade

@frigid gorge

[frigid gorge]

i didnt say it was e

lol

[alpine sable]

please

how tf

is this wrong

https://cdn.discordapp.com/attachments/879132863117791273/896452993380134952/unknown.png

im discussing asnwers with a friend

and somehow

my ans is wrong

its

2b^3/5/p

or is ti

2b^3 / 5 p

huh

my brain

cannot comprehend this

no

cuz if thats that

it would be

5/p = 5p

wow

u rly said that

@alpine sable

[ripe gust]

wtf i feel stupid when i see this

[fervent anchor]

,w 5px^2=2b^3

[ocean seal]

Results provided by WolframAlpha

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

Requested by Muna#0898

[rigid wind]

it's not /(5/p)

[lethal pike]

I don't know if what I solved is correct. Is there a proper rigorous solution to this ?

[alpine nacelle]

feels wrong with X^2 already

[lethal pike]

I don't know how to solve it

[alpine nacelle]

first row, second column of X^2, the coeff should be 0

since the second column of X has only its second entry non zero, and first row has only the first entry non zero

so your calc of X^2 is wrong already

choose a n, and try to conjecture from that, as a starter

n = 4 would be good to have time to see what happens

(if n = 2, then X^2 = 0, and if n = 3, then X^3 = 0)

[brisk wedge]

bro solve rs agarwal and ncert.

[quartz osprey]

how tf do i even set up this problme

it wants inventory cost

so what i see is that

kx+px+hxt

like what the fuck else do i do

[tropic sail]

hello how would I simplfiy this expressiosn?

$\sqrt{16-4\sqrt{2}}$

[ocean seal]

mchw

[lapis goblet]

Factor a 4

From the the inside

@tropic sail

[dapper patio]

bit confused about this step

[buoyant edge]

$\frac{1}{2^{k-1}} = 2^{-(k-1)} = 2^{1-k} = \frac{2}{2^k}$

[ocean seal]

Chris24

[kindred mantle]

How would one remove the big root?

[buoyant edge]

@dapper patio

[lapis goblet]

cant

all you can do here is this

4(4-sqrt(2))

[dapper patio]

ahhh i see, thanks :)

[lapis goblet]

Then sqrt of that all

2 (sqrt(4-sqrt(2))

[kindred mantle]

can you not get it in the form

[dapper patio]

wait but what about the k+1/2^k? shouldnt it be ((k+1)/2)^k?

[kindred mantle]

$\sqrt{(a+b)^2}$

[ocean seal]

DistilledWater

[kindred mantle]

thats very sad

[buoyant edge]

1^k = 1 for all k, so

$(k+1)(\frac{1}{2})^k = (k+1) \frac{1^k}{2^k} = (k+1)\frac{1}{2^k}$

[ocean seal]

Chris24

[dapper patio]

omg im an idiot, tysm!

[kindred mantle]

but why

they dont have to be

$\sqrt{3-2\sqrt{2}}$

it works here

[ocean seal]

DistilledWater

[kindred mantle]

you can get rid of big root

it would be $\sqrt{2} - 1$

[ocean seal]

DistilledWater

[kindred mantle]

and the big root is gone

how?

[gloomy wharf]

help pls

[kindred mantle]

find scale factor

[plucky crow]

if its reflected in the y axis, all of the negative values become the value of the positive ones and the positive ones become the negative, how do we do this? we just make it -x, because --x = x (positive ones) -x = -x (negative ones)

actually just come dms

dont wanna clog the channel

[alpine sable]

heres my work

[plucky crow]

bruh

literally just sub

u into the first equation for y

then its a power rule problem

y = 40x^2 - 9

dy/dx = 80x

[alpine sable]

[plucky crow]

or dy = 8du, dy/du = 8, du = 10xdx, du/dx = 10x, 8*10x = 80x

[alpine sable]

ty

[tidal lion]

whats 1+1

[crimson blade]

how does ∫ e^4x/4 * (2x - 2) = 1/2 ∫ (x-1) e^4x?

wdym?

yeah, but how can you move one so it doesn’t have to be integrated?

like, surely you can’t just slap it out without doing something?

the 1/2

it’s outside the integral

sure one sec

[alpine sable]

M Y
F I N A L
M E S S A G E
C H A N G E
**D A **
W O R L D
G O O D B Y E

[dreamy cedar]

[fading zephyr]

hmm

[sly mantle]

jfc

[crimson blade]

excuse my awful writing abilities

basically, ∫ e^4x/4 * (2x - 2) = 1/2 ∫ (x-1) e^4x but i have no idea how

hm

[tidal lion]

hey

[lethal pike]

still don't know how to solve it to be honest.

[lethal pike]

for n=4 it will still be 0

[alpine nacelle]

this coeff yes, but not the whole matrix

my guess would be that for n = 4, X^4 = 0

for each power you remove "a diagonal"

just an intuition tho, I didn't really think about it, nor check

[lethal pike]

Maybe this it the final form

for k=n

[alpine nacelle]

nope

for n = 3, X^3 is full of 0, for example

you're not making progress in the problem 'cause you should be trying to prove your conjecture and calculating things, and you don't calculate

and your 1 on last row don't even make sense

how is your X defined ?

take n = 3 and write out X

[kindred mantle]

thanks

[shrewd echo]

No problem.

[inner sequoia]

help

why is (-64)^2/3 = 16?

[royal meadow]

what's (-64)^(1/3)

[inner sequoia]

oh shit wait

i did 4x2 and not 4^2

;-;

but i have a question

why would i have to raise it to the 2nd power and not multiply it by 2

2/3 is double of 1/3, not (1/3)^2

[royal meadow]

a^bc = (a^b)^c

[steady mist]

hey guys

can you help me with a problem

plz

i dont understand this question

[flint badger]

@steady mist what are you confused with exactly

[steady mist]

ik u factor out the (x^2-3)^-5/3

but idk what to do after that

[flint badger]

$\frac{1}{\left(x^2-3\right)^{\frac{2}{3}}}-\frac{1}{\left(x^2-3\right)^{\frac{5}{3}}}$

[ocean seal]

eggdog

[flint badger]

you got here right?

[inner sequoia]

wait

so

if 2^a/b

wait

if (2)^(a/b)

then

2^a/2^b ?

so 2^(1/2)

is (2^1)/(2^2)

so 2/4 or.. 1/2?

[steady mist]

if i wanted to mathaway i could but it doesnt answer my qeustion

im so confused

[flint badger]

you need to find the LCM

[flint badger]

for this

try to figure that out

[royal meadow]

no

wait

yes

wait

no

2^(a/b) = 2^a * 2^(1/b)

2^(a-b) = 2^a/2^b

[night narwhal]

Is this channel occupied

Need some help with my calculus 2 problem

[raw shard]

i think it’s free

[night narwhal]

Okay so am wondering

How am I able tp reduce the problem from that original form to this one

As for me this is so exhausting as trying to figure it out

[steady mist]

thanks for being useless guys

[buoyant kayak]

yknow a better way to get help would be something along the lines of "anyone else know how to do this?"

[gentle prism]

Someone help pls

[buoyant edge]

Composite shapes. You can break it down into simpler shapes whose area formulae you know and then sum those areas.

[quartz osprey]

how do i do this

[gentle prism]

I can get the top part but idk about the bottom

Actually

Nvm

I got it

[buoyant edge]

Nice.

[gentle prism]

So i cut it like this

But what about that little part to the side

Do i leave that alone and not count it

[buoyant edge]

You can do that and you can even remove the horizontal line. Make it 1 rectangle.

[gentle prism]

Oh yeah

[buoyant edge]

The curved part is a semicircle.

[gentle prism]

Oh ok

[buoyant edge]

Do you see why that's a semi-circle?

[gentle prism]

Yeah

[charred lintel]

how do I do this?

[buoyant edge]

@charred lintel Try factoring out a 3. So express the polynomial as 3 times another polynomial.

Since all of the coefficients are multiples of 3.

[night narwhal]

@shrewd echo thank you

[alpine nacelle]

1 is obvious root, so the other one is 69/3 = 23

And your polynomial is 3(x-1)(x-23)

[buoyant edge]

@quartz osprey You seem to understand how to get the answer, but your differentation is off.

[quartz osprey]

is it just getting the derivitive like literally ?

[buoyant edge]

Looks like it.

[quartz osprey]

alright

[buoyant edge]

You're missing a negative and an h.

[quartz osprey]

where did i go wrong?

h stays?

oh yave kd should be 0

[buoyant edge]

yes and h/2 is a constant

so the h stays

[quartz osprey]

wait

derivitive of hx i got 1

is tht wrong?

does pD become 0 or is it stay there

[buoyant edge]

Well, pD is a constant, right?

If you're unsure that p and D are constants, notice that C is a function of x and x alone, so we know then that all the other letters are constants.

[quartz osprey]

bleh

uhh

oh yea i see

wait so if its a constant does it sstay or something like that

[celest anvil]

how to do this?

what is this problem called

[glass lichen]

span

You easily note that your 1st vector needs to be scaled by 2 to match the 1st component

$[2,a,16,9]=2[1,-2,5,3]+b[0,-2,4,4]+c[0,0,-2,-5]$

[ocean seal]

Mosh

[verbal forum]

Could someone please explain this to me? We never talked about rates of oscillation in my class

(#18)

[celest anvil]

i got -8 which was correct. i did (-2 + -2 + 0)*2

but im not sure why this works for a but not for 16 and 9

[glass lichen]

so you need to make $16=10+4b-2c$ and $9=6+4b-5c$

[ocean seal]

Mosh

[glass lichen]

then you can solve for a

and this is a pretty easy system to solve

[ripe gust]

man idk wtf i be saying half the time

[buoyant edge]

@quartz osprey The derivative of a scalar multiple of something is equivalent to the scalar multiple of the derivative.

[ripe gust]

i was doing quadratcis the other day and i said 77 out of nowhere

[celest anvil]

what is the process for this problem

[ripe gust]

divide all by 3

d-24d+23

[ripe gust]

ngl that looks like a di-

[silver dew]

begin by writing W as a linear combination $s\textbf{u} + t\textbf{v}$

[ocean seal]

gramschmidtty