help-0

[brave fossil]

@tough hatch

Sorry it’s a bit messy I cba it’s 3 am

[brave fossil]

the middle is suppose to be R1-3R3 not R1-3R1

[tough hatch]

yep and it should be -3+3(10-h)/(9-k)

at the beginning R2 was 0 1 -3 -3

[brave fossil]

oh yea

u missed the -3

so thats a unique solution right? because x y and z all correspond to value which inturn gives a point

[tough hatch]

yeah it turns out there are no free variables

since the coefficient matrix is the identity matrix of size 3x3

thus solution is unique

@brave fossil

[brave fossil]

Cheers man thank you for all your help

<3

[valid wagon]

Lol

[opaque plinth]

https://cdn.discordapp.com/attachments/812951310973796412/839159264856506378/Screen_Shot_2021-05-04_at_8.19.06_AM.png

Uh

like what the answer?

no really horrible

i tried so many times and failed it

oh

ok

thxs

[twilit flicker]

Which conic section is represented by the following equation?

–5x2 + 10xy – 5y2 + 2x – y + 4 = 0

circle
ellipse
parabola
hyperbola

Need help plz

[strong furnace]

are you sure this is the given equation?

[twilit flicker]

Yes I think you have to rearrange it

[valid wagon]

@twilit flicker I will try it give me a moment

It is a parabola but I have no clue how to rearrange it

[strong furnace]

same I arranged it 5(x-y-3/20)^2=1/2(x+y+329/40)

I messed up the signs actually

[valid wagon]

I’m trying to express it in the form of a parabola where you come see the transformations more accurately. Sort of complete the square

Like where did the 10xy come from?

Yeah

[strong furnace]

this is how I started 5(x-y+a)^2=b(x+y+c)

[valid wagon]

What

[strong furnace]

this expression should be equal to that curve if it is a parabola

we need to find appropriate values of a,b and c

[valid wagon]

How you know

[strong furnace]

are you taking about the expression or if its parabola or not?

[valid wagon]

The expression

I see now though

[strong furnace]

rotation of parabola

whatever linear expression replaces y should be perpendicular to the linear expression that replaces x

we can conclude (x-y+c) is the expression which is going to replace y because the coefficient of the 2 degree terms x^2 y^2 xy

[fossil meteor]

I have a sheet which says how can we determine the shapes of hyperbola, parabola, circles, posl, sl and ellipse. thats how I did it

[strong furnace]

can you share the idea ?

[fossil meteor]

here

[wary stream]

,rotate

[strong furnace]

I think there is an assumption in there that the given equation is a conic section but I get the gist of how we get to this conclusion

[fossil meteor]

that big equation at the top is basically general form of all of em, you can write them in that form

[strong furnace]

that is the general second degree homogeneous equation

the idea is eccentricity I believe

[fossil meteor]

yesss rightt

[alpine sable]

how can you solve for x? what’s the formula

[fossil meteor]

a^2+b^2=c^2

[mellow vessel]

(Hypotenuse)²=(Base)²+(Perpendicular)²

[fossil meteor]

^

[alpine sable]

do you divide after or add them together

[stable knoll]

thats clearly a test

[mellow vessel]

@alpine sable Adding them

[alpine sable]

it’s a homework assignment that’s clearly been pulled out of a website

i’m still on unit 6 and my class is on 8

[stable knoll]

formula is a^2 + b^2 = c^2

[alpine sable]

okay thanks

[stable knoll]

which means you take opposite side (16) and square it and then you sum it with adjacent side(10) also squared. After you get 356 or whatever you want to find square root of that number

also i hope you learn this because its kind of important

this is an example

[cloud valley]

How to demonstrate an unprovable problem?

[muted raft]

Well isn't that very vague..

[cloud valley]

Are u sure @muted raft ?

[tame stirrup]

@stable knoll c would be +5 and -5

[stable knoll]

yes but when its triangle its side would never be -5

also i cant find that +- thingy

[glass lichen]

dont spam the channels

[tame stirrup]

@stable knoll yea sorry dint see that i just saw the picture

[bold panther]

If I get '0< (3x^2) - 13x +12' and ' 0< (9x^2) -9x -4'

how does this become

x:x<-1/3 OR x:x>3

[bold panther]

I know that if you factorise these quadratics you get the critical values 4/3, -1/3, 4/3 and 3

so wouldn't it be

4/3 < x < 3

and

-1/3 <x<4/3

[alpine sable]

Why is 3(2a -1) + 3 = 18 not 15 over 6 or 15/6

3+6a-3+3=18
3+6a-3=15
6a-3=12
6a=15
a=15/6

[mild moat]

yall do b smart ngl

[alpine sable]

can someone answer my question?

im confused

[shy bloom]

Use BODMAS

[alpine sable]

Whats that

[next spade]

"by some interesting lines" lol

[alpine sable]

bruh

im not joking

i actually needa solve it

[next spade]

i was stating the weird wordings

actually im stupid it says intersecting

[alpine sable]

so can u help?

[shy bloom]

BODMAS is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.....so first solve the brackets...

[alpine sable]

Oh

[next spade]

find the missing angle in the triangle with angles 8 and 9 and the rest will just come

[alpine sable]

Inforgot my 7th grade stuff lmao

[shy bloom]

Value of a is 3 .Right?

[alpine sable]

wdym by find the missing angle

what am i looking for

[next spade]

also this channel is occupied

[alpine sable]

Yes

[alpine sable]

ur right with me and u

[barren warren]

Well, I don't know but the sum of the angles 8+4+5 must sum up to 180 degrees

[alpine sable]

How do apply BODMAS here?

Is 3 + 6a -1 +3 not solving it?

Be getting rid of the brackets

[shy bloom]

3(2a-1)+3 = 18
(6a-3) +3 =18...
now open the brackets...
6a=18
a=3

[alpine sable]

Oh

I was thinking
(2a-1)+3=15
(2a-1) = 15/3
2a-1= 5
2a -1 = 5 +1
2a = 6
a= 6/2
a=3

Guess thats just more steps

Can you not put it in a calc and see what comes out?

Okay

[indigo jetty]

factoring out $\frac{P_0^2}{4\rho^2g^2}$ from the radicand

[ocean seal]

Ken G

[indigo jetty]

so you are effectively factoring out $\sqrt{\frac{P_0^2}{4\rho^2g^2}}$ which is simplified to $\frac{P_0}{2\rho g}$

[ocean seal]

Ken G

[shy bloom]

Technically, BODMAS does not say you must follow these rules exactly as they are stated. Instead, you may apply any standard properties, such as commutativity and associativity of addition and multiplication, or distributivity of multiplication over addition, to rearrange expressions in an equivalent manner to get the same answer as you would with BODMAS. In this context BODMAS tells you in some sense how to determine the correct answer.

[neon epoch]

this isn't strictly related to math but for picking classes would it be a good idea to do linear algebra in high school

I was told it was a really difficult class by some math teachers and now feel a bit unsure about taking that class

[alpine sable]

is this open?

[sick radish]

Can anybody help me out

[young ocean]

Im confused on how i would draw a diagram for this problem, like what would the diagram look like?

[alpine sable]

it would probably be a triangle

[young ocean]

I know that, but like what would the sides be and which side would have which lengths/angles

[alpine sable]

You would have to assume spideys height to be x. Also, maybe taking it from ground won't be wise as Lois herself has her eyes at a certain height

[ashen agate]

how do i go about solving this

[wary stream]

They are similar triangles, aren't they?

[ashen agate]

yeah but how does that help me

[wary stream]

Set up portions

[ashen agate]

you mean the statement that two ratios are equal?

[wary stream]

Yep

[ashen agate]

ty

@wary stream is it the same concept for this question

[wary stream]

Yes

[steel scaffold]

There exists an arithmetic sequence with t_3 = 4 and t_4 = 184. Find the 14th term, 664 right?

[strong furnace]

show your work ? that does not seem right

[quasi scarab]

no, the difference is 180 so 664 is not even part of the sequence

[steel scaffold]

wait no

t_6=184

[quasi scarab]

then its correct

[steel scaffold]

oh ok ty

[neat sundial]

can anyone help me with this? <@&286206848099549185>

[acoustic shadow]

Is it just me or is the picture blurry

[queen wing]

Yeah, very blurry.

[quasi scarab]

its not just you

and dont tag the helpers pls, just after 15 min of silence

[alpine sable]

im taking over this channel now

[wary stream]

@neat sundial

[celest spear]

Hi

I love maths and i hate physique

[coral pagoda]

Suppose the sequence $z_n$ has initial conditions $z_0=1$ and satisfies [ z_{n+1}=\frac{z_n-a}{z_n-b} ; \text{for}; n\geq 0]
where $a$ and $b$ are real numbers and $b\neq 1$. Suppose further that the sequence $u_n$ satisfies [\frac{u_{n+1}}{u_n}=z_n-b]
Show that [ u_{n+2}+(b-1)u_{n+1}+(a-b)u_n=0 ; \text{for}; n\geq 0]
Hence find a formula for $z_n$ when $a=0$ and $b=2$.

That's my best guess on what it says

I think I messed up on the second line, since it seems kinda weird 🤔

[ocean seal]

dackid (jump king +)

[coral pagoda]

There we go @acoustic shadow . That should do it

[strong furnace]

you need to take good care of your eyes they are precious

[white meteor]

can some1 go #help-1

and answer my qs pls thx

[unkempt plover]

i need to find all solutions that are integers in equation x^2+y^2=2011
but i found that there are no answers, is that right?

[strong furnace]

it is correct yes

[unkempt plover]

tysm

[alpine sable]

No Clue where to start I've tried so many times can someone please help. I don't understand what I'm supposed to do and I have asked so many other places I've been on this for 2 hours now I just don't know

<@&286206848099549185> 🥺^

[wary stream]

@alpine sable

Just reminding you of the rules

There are rules for a reason

[alpine sable]

Cool! Blocked.

Been stuck on all of these

<@&286206848099549185>

[full valley]

How am I supposed to find the solutions if the equation isn't like 2x+5=2x+1

Why did you dislike that is VERY disrespectful!

[marsh basin]

People will not help you if the help you asking his about something being evaluated

[alpine sable]

What

[lament wyvern]

imagine getting told "hey, please read the rules" and responding by blocking them and still thinking someone will help you

[marsh basin]

[alpine sable]

Bruh

Ok then

[marsh basin]

Is your HW evaluated?

[alpine sable]

Don't know what that means

[marsh basin]

Wdym you don’t know what that means

[alpine sable]

I literally don't know what you're asking

[marsh basin]

HW = homework

[muted raft]

ofc it is, you can see the percentage on the top right corner of the first picture.

[alpine sable]

I'm so fuckin confused

[muted raft]

"HW score: 36%"

[alpine sable]

Homework is graded yes

[marsh basin]

I mean it could only be a non-evaluated HW but the teacher is using a plateform that counts everything (even if it’s a hw and not an exam)

[alpine sable]

Yeah that's how homework works

It's all graded lmao

[marsh basin]

graded, evaluated, noted all the same shit

[alpine sable]

That's why I'm asking help

[marsh basin]

One of the rule here

Is

You can’t help someone that is asking for help about something being graded

[alpine sable]

I don't think that's the rule I think it's for tests and quizzes

I'm not going to go through and ping a mod but if you want to go ahead

[glass lichen]

Just dont help them if you personally think it's against the rules. The rule is for tests and assessments, but typically homework is not marked or the mark is minute

[marsh basin]

Listen I’m only telling what I’ve been told

[alpine sable]

Probs been told wrong

[marsh basin]

Whatever

[alpine sable]

Lmao ok dude

[glass lichen]

Knock off the stupid arguing, take it to dms if you wish to argue

[alpine sable]

I just want homework help I've been trying for like 3 hours

[marsh basin]

I’m not arguing lmao

[alpine sable]

wow..

[toxic dust]

Do i just plug in 27?

[marsh basin]

Which’s one

Nvm

If you plug 27 you will have the indetermination 0/0

[toxic dust]

b

[toxic dust]

So then what would you do

[strong furnace]

all of these problems are based on a basic limit that you are supposed to know before solving these problems lim x->a (x^n-a^n)/(x-a)

[wary stream]

I would use L'Hopital's rule but it says use change of variable, so not entirely sure on that wording

[glass lichen]

You dont need L'H...

[marsh basin]

Yea that’s what I thought too

[glass lichen]

Just do it as the question suggests, it's a better method

[strong furnace]

change of variable may be substituting x-a as t and using taylor series approximation

[glass lichen]

holy no

no taylor series, no L'H

just do a sub

[marsh basin]

Lmaoo

It’s calculus 1

[muted raft]

set u=x^(1/3)

[strong furnace]

ok now I get what it meant

[glass lichen]

for b: let $u=x^{\frac{1}{3}}$ this means that $x=u^3$

[ocean seal]

moshill1

[glass lichen]

as x approaches 27, u approaches 3

[wary stream]

Ah, that makes sense. Whenever I see 0/0 with a limit, I would do L'H

[marsh basin]

Channel taken

[muted raft]

Sometimes there are easier methods than just lhopitals rule

[marsh basin]

But LH is really easy so

Depends on what you prefer

[glass lichen]

$\lim_{x\to 27}\frac{27-x}{x^{\frac{1}{3}}-3}=\lim_{u\to 3}\frac{27-u^3}{u-3}$

[ocean seal]

moshill1

[wary stream]

That was my first instinct

[glass lichen]

L'H is the lazy way to answer limits

[toxic dust]

I am confused, someone saying use this law

someone saying no

😕

[marsh basin]

There’s no lazy way

[muted raft]

No follow the question

The question specifically tells you evaluate limit through substitution.

Exactly what moshill1 explained

[toxic dust]

And then just evaulate after that? U can factor the top

[fading rover]

MLR has angry middleschooler vibes

[glass lichen]

yes

[marsh basin]

What

Who said I was angry

I only wrote Channel taken

[wary stream]

But why? It's literally a rule

[muted raft]

Why is there so much drama today....

[glass lichen]

shut up and argue in dms

[fading rover]

yeah enough of that

[marsh basin]

I don’t know I’m just respecting the rules and people find me rough

[spring harbor]

It's ok he's in wrong

[tawny lion]

special kids have special needs

[toxic dust]

@glass lichen like this?

[glass lichen]

your limit variable remained x

[toxic dust]

oh change it to u

[glass lichen]

which doesnt make sense on a function of u

yes

you change everything to u's

[toxic dust]

also i didnt catch it first time but cna u explain why u converted x^1/3 into u?

[glass lichen]

cause fraction powers are ugly, so we want to work without them / work with integer powers ideally

[toxic dust]

but doesnt x^1/3 equal cube root of x

[glass lichen]

so replacing x^(1/3) with u does that and x becomes u^3 which is "worse", but better than having a power of 1/3

yes

$x^{\frac{1}{3}}=\sqrt[3]{x}$

[ocean seal]

moshill1

[toxic dust]

isnt that worse no?

writing it as Cube root of 3

[glass lichen]

what do you mean?

Im replacing the cbrt(x) with u

and u is better than cbrt(x)

cause it's not a cbrt

[toxic dust]

Oh so we inserted a variable

and i did my math wrong at the end

i added 8 instead of 27

Thanks though!

[main gate]

I need to solve the identity mx + 4 - 2(x + p) ≡ 6(x + 1), where m and p are integers, for m and p. How can I do this?

[oak chasm]

@main gate Expand and collect like terms.

[full wasp]

multiply both sides by zero lets go

thank you Obama Prism

[oak chasm]

@alpine sable Please don't post a question to multiple channels.

[full wasp]

who keeps posting and deleting that cdf question like

[stable knoll]

isn't it like 100%-p

[loud mauve]

hi !! ok so i was wondering if there's anyone willing to check some answers for me ? i have a test tomorrow and im so exhausted and my brain is fried so id appreciate it i could dm someone to help me check them :') there are 9qs in totals, a-level maths level

or maybe i'll post them separately

[full wasp]

are the questions themselves graded

if not then go ahead and post them

[loud mauve]

nope im just practicing

but my teacher didnt give us the answer key :(

ok !!! ty :) one moment !

[full wasp]

neat

[loud mauve]

also please dont save these questions since theyre from locked past papers

[glass cave]

Tbh I don't even know what this is haha

I've been doing functions and calculus and vectors

Oh wait are they asking for an expanded form?

[loud mauve]

it's ok !! ill send the questions + answers and whatever anyone can help w would be great :)

[full wasp]

well for 1. its gonna be 7C4 * a^3 * 2^4 = 15120

solving for a gives 3 so that checks out

ur sketch for 2. looks good

[loud mauve]

ty for confirming !!

[full wasp]

when x = -2, f''(x) should be -14 uhh everything else looks good though

[glass cave]

What does that weird looking f thing mean

[loud mauve]

aaa sorry i meant to write x = 8/3 for the second one !!!

[glass cave]

And why is there dx and the end of the equation

[loud mauve]

sign for ingegration w no limits :)

[loud mauve]

dx indicates an additional variable ! it says that the derivative of y is essentially the derivative of x :)

[glass cave]

Oh like Dy/dx?

[loud mauve]

yeah !

[glass cave]

Dope

[loud mauve]

yeah :)

[glass cave]

I'm in gr 12 so maybe I'm a level lower than you

[loud mauve]

also can anyone confirm this fjdj
i have more tho

[loud mauve]

ah yeah maybe !

[muted raft]

looks fine i think

[full wasp]

4 looks good

[loud mauve]

ty !!!

[full wasp]

unless i cant expand

(likely)

[muted raft]

no its fine

are you writing this on tablet or something?

[loud mauve]

yup !

[muted raft]

yeah but you still need to solve for x

channel is busy

[modern flicker]

sorry

🏃‍♂️

[muted raft]

no worries

[full wasp]

lol its ok

also yeah idk whats going on w/ that last line

[cinder lily]

looks like A level

[full wasp]

oh nvm i see

[muted raft]

The steps are correct, its just the answer is incomplete.

again, channel busy

[loud mauve]

i forgot dkfjdj

[cinder lily]

1 - q/p

make it into a single fraction

[full wasp]

still graded bro

[cinder lily]

(p - q)/p

[glass cave]

Lol that was one of my computer science assignments. Basically determines the amount of hours slept, alive, and days alive. Probably could've named it better

Space blasters was my final assignment which is just a rip off of space invaders

[full wasp]

ahhhh

[muted raft]

before that, what did you get for x? @loud mauve

for previous question

[loud mauve]

oh ! ln15/ln5.2

[cinder lily]

is this an unreleased paper?

[loud mauve]

yes, it is

[full wasp]

try using log in base 2 instead

[cinder lily]

nice lol, how did you get it

[loud mauve]

it's not graded but it is unreleased

[muted raft]

try again

doesn't seem correct to me

[loud mauve]

it's just one for practice fkdjd from my class :) pls dont release it for the love of god lol

[cinder lily]

lol dw

im past this anyway :P

[full wasp]

my math final is on thursday 😔 why cant the questions be nice like these ones

[loud mauve]

if 5.2^x is 15 then xln 5.2 = ln 15 and therefore x = ln(15)/ln(5.2) right ? im not sure how im wrong sorry ;^;

[loud mauve]

let's swap . omg

[muted raft]

$5 \cdot 2^x = 15 \implies 2^x = 3$

[ocean seal]

zslya

[loud mauve]

also can smn confirm this fjdjd

[full wasp]

in any case 6 looks good

[muted raft]

then only take ln of both sides

[full wasp]

maybe show a tad more work though

[loud mauve]

huh 👁👁

[twilit dune]

what is the symmetric difference of {y^x=x^y} and {y=x, x>0}

[loud mauve]

doesnt exam imply its graded ?

[muted raft]

divide both sides by 5

[loud mauve]

i keep losing marks for not showing workings but idk what to show ;^;

[cinder lily]

do you know the definition of symmetric difference

[loud mauve]

ty !!!

[mellow wagon]

anyone good at geometry

[twilit dune]

its the flesh at the back of your mouth smh

[mellow wagon]

i really need help

[cinder lily]

[full wasp]

bro this is too hard i cant do it

[twilit dune]

no, but the solutions to {y^x=x^y} is a set no?

[loud mauve]

should i move to a diff channel i-

my questions arent done yet :')

[mellow wagon]

what is you question mei

i'll do it

[full wasp]

gonna revive paul erdos to ask him what 2x is

[cinder lily]

your notation is weird

[loud mauve]

ty !

[cinder lily]

sets dont allow dupes

[twilit dune]

what is a dupe

[full wasp]

noooo not a trig identity

[cinder lily]

duplicates

[twilit dune]

duplicates?

[loud mauve]

so sorry king

[twilit dune]

what duplicates are you talkiing about

[mellow wagon]

okay so you want me to correct it looks like

[twilit dune]

Hold on I'll reword the question

[muted raft]

Okay first of all on EVERY SINGLE TRIG IDENTITY QUESTIONS. SPECIFY WHICH SIDE YOU ARE WORKING ON @loud mauve

[loud mauve]

ah yeah sorry !! i should have given context :)
i did some practice bc i have my test tmrw and i just want my answers checked

[cinder lily]

you said you had the set {y^x = x^y} = {y^x} = {x^y}

[mellow wagon]

okay

[muted raft]

If I was a marker and you did not specify which side you started with, you would lose marks.

[mellow wagon]

how is 1/sin theta= sin theta

[full wasp]

youre losing me here

[mellow wagon]

1/sin theta = sin-1 theta

[muted raft]

That is supposed to be -

it is likely a typo

[mellow wagon]

so ur first step is wrong so the whole thing is wrong

[loud mauve]

ok so . omg the whole thing is doomed

[muted raft]

No no its not

relax

[loud mauve]

i dont even know if im working on lhs or rhs at this point ♡

[muted raft]

its just a typo

[loud mauve]

ik ik im joking dw !

[mellow wagon]

well yea i could be a typo

[muted raft]

Begin with saying you started with LHS

on lhs we have $\csc(\theta) - \sin(\theta)$

[ocean seal]

zslya

[twilit dune]

What function represents all the points which belong to either [x^y=y^x] or [all points that belong to both {y=x} and {x>0}], but not their intersection? @cinder lily

[muted raft]

so it is just $\frac{1}{\sin(\theta)} - \sin(\theta)$

[ocean seal]

zslya

[muted raft]

and now you just want to bring common denominator and continue

Your last step is kinda unclear

but its fine

[loud mauve]

ty !!! ill fix it :)

[full wasp]

i would show work more explicitly like this

[muted raft]

No need to work on RHS on this question

[alpine sable]

is this open?

[muted raft]

You can just use LHS

[loud mauve]

ok question 8 ill send last bc i couldnt solve the last part and it's murdered me but : q9

[full wasp]

nah we busy

[alpine sable]

alright

[muted raft]

also partb) is correct

[full wasp]

u sent the wrong question

[loud mauve]

ty ! ill fix a :)

[loud mauve]

thats so helpful omg thanks !!!

no braincells rights

here she is

[full wasp]

oh jeez

[loud mauve]

(-:

[muted raft]

a) looks fine

b) looks fine

c) looks fine also

so answer looks fine but the steps

are kinda meh

especially for c)

[full wasp]

does the exam have any specification on how to write domains

[loud mauve]

how should i format it ? in your opinion
also ive been looking at 7a, should i do anhtbing w the fact the theta != 180n ?

[loud mauve]

,, honestly i think so ?? but unfortunately i have no idea ♡ i was ill almost the whole of my a levels so im freestyling it as they say . i will fail perhaps ♡

[full wasp]

cause u might have to write like x ∈ (-∞, 2) U (2, ∞)

[ocean seal]

mei

[loud mauve]

WAIT UR RIGHT thats the format . yeah

okay question 8 is murdering me . idk how to solve c :') idk if any other parts are correct even

[muted raft]

I think you just need to add some words first saying that rational function are defined everywhere except on some asymptotes/singularities. Which is why the domain would be set of real numbers excluding some points. Then proceed to solve for that point like how you did.

Because right now, you showed that 2 is not part of domain which is correct

but you didn't really say (in short sentence) why every other point is part of the domain.

So just write 1 small sentence about it and you should be fine.

[full wasp]

i dont think youre gonna fail like so far ur doing good

[loud mauve]

tysm !!!!

[full wasp]

well for b) u should sub (πt/12) - 3 for x

so θ(t) = sqrt(5) * sin((πt/12) - 3 + 1.107) + 5

for c) you only need to look at the sin part

[loud mauve]

,, im so sorry i still dont understand dkfn

is this automatic or does someone do this ? kfjf

[full wasp]

, activates the bot i think

,, this maybe

[ocean seal]

Lollipop

[full wasp]

yeahhhh

[loud mauve]

ah that explains it

[full wasp]

sin(x) is a maximum when x = π/2

[loud mauve]

is it ok if i dm you abt this ? ive taken so much time in this chat :')

[full wasp]

ok sure

[winged shore]

use the geometric series to find a power series with center at c= 0

[loud mauve]

also i deleted the questions in case someone decides to release them/screenshot them, i hope thats ok !

[muted raft]

Recall that $g(x) = \frac{1}{1-x} = \sum_{n=0}^{\infty} x^n$

[ocean seal]

zslya

[winged shore]

im still pretty lost ngl

[muted raft]

Well, how about this hint then:

$g(x) = \frac{1}{x+1} = \sum_{n=0}^{\infty} \qty(-x)^n = 1 - x + x^2 - x^3 \cdots$

[ocean seal]

zslya

[muted raft]

if $\abs{-x} < 1$

[ocean seal]

zslya

[loud mauve]

bc it's an unreleased paper dkdnd

[vestal silo]

...

[dapper schooner]

If x^TAx=x^TUDU^Tx where A is symmetric and D is diagonal, does x^T have the same dimensions as U?

If not would x^TU=(U^Tx)^T?

[stoic isle]

Hi, i need help please 🙏

[dapper schooner]

<@&286206848099549185>

[blissful sonnet]

Hi I need help with an integration question as follows:

And why after doing Integration by parts twice do you stop doing integration

I can do part A and part B without any problem , I just want to know why they stopped continuing the parts integration and doubled the integration

[full wasp]

e^x * sin x is a pretty famous integral i would say

if you integrate it by parts twice you get the original integral

right like notice how the integral has reappeared on the RHS

ergo if u bring that integral on the RHS to the LHS and then divide through by 2 ur gonna get this v

[blissful sonnet]

Ohhhhhh

So you just group them

[full wasp]

yea

[blissful sonnet]

Fantastic

Thanks for the help

[full wasp]

np

[blissful sonnet]

Think I need to start labelling my integrals when I do it then so I can spot that next time

[whole willow]

Could someone help me with this question

im not sure what to substitute

[full wasp]

do u know product of roots formula

[whole willow]

yeah

[full wasp]

αβγσ are gonna equal 4165/4

[whole willow]

yep

[full wasp]

but using the given information u can write in terms of only one variable

so like α² * 85 = 4165/4

now solving for α is pretty easy

[whole willow]

wait am I dumb, but how did gamma and delta cancel

oh

yeah im dumb lol

[full wasp]

mood

[whole willow]

sadge

[full wasp]

anyways now u can use sum of roots

α + β + γ + σ = 44/4 = 11

use the values of α and β u found to rewrite in terms of just σ

solve for σ and it will give u γ and then boom

there are your roots

[whole willow]

it wouldnt matter whether you solve for σ or γ correct?

[full wasp]

it shouldnt

[whole willow]

alright

thanks man

[lethal snow]

anyone that can help me with this questions?

[chrome rain]

Can you just go down 5 and right 3 and go up 5 and left 3

This kid is retarded who I am trying to help

Please help

[lost geyser]

yes youre correct

[toxic dust]

Tell him Rise over Run

easiest thing

[chrome rain]

Yes but he is saying that rise means up

[toxic dust]

Rise means up and down
run means left or right

[chrome rain]

Thank you

I knew what it was but he still thinks he is right

[lethal snow]

anyone that can help me with this?

[toxic dust]

https://tenor.com/view/neil-de-grasse-tyson-not-me-idk-i-dont-know-no-idea-gif-5168517

[glass lichen]

well which ones do you know to be right?

[lethal snow]

I think 1 is right

[glass lichen]

yes 1 is right

[lethal snow]

3 should be right to

[glass lichen]

right, 3 is right, so if the asymptote is the x-axis, can you ever cross the x-axis?

[lethal snow]

no

[glass lichen]

so is there an x-intercept?

[lethal snow]

no

[glass lichen]

so 4 is false

[lethal snow]

ok

thx

[glass lichen]

(some horizontal asymptotes you can cross, just not with exponentials)

[toxic dust]

Any idea how to find values of x?

[sinful crest]

I would try to find any points in which the function isn't continuous

[chrome rain]

This is incorrect right?

[sinful crest]

Any quadratic equation is continuous for every x, for example. But we can't be sure about h(x) because x²-5x can't be zero

[vagrant tinsel]

This is a Linear systems i’m doing and I don’t know how to make an equation for this. Any help?

[sinful crest]

So what I would think is to analyse what happens when h(x) approaches the value that makes x²-5x be zero

[vagrant tinsel]

I’ve tried it and did y = 5x + 30, y = 10x but I feel like that’s wrong

[flat gust]

It's right I think

I'm pretty sure youre correct

[vagrant tinsel]

The next question after is to solve it either using substitution method or elimination method and I wanna make sure it’s right

[sinful crest]

Remember that a function is continuous on an arbitrary point 'a' if $$ \lim_{x \to a} f(x) = f(a) $$

[ocean seal]

Natansh

[flat gust]

Yep it's right

[vagrant tinsel]

Is substitution easier to solve that equation?

[flat gust]

Yep

[vagrant tinsel]

since I have y = 10x?

okay thanks

[void herald]

Is this right?

[manic quail]

Domain?

[void herald]

Yes

[manic quail]

Yes, it's right.

[void herald]

Thank you, my b for not specifiying

[alpine sable]

Could anyone help me with 3c im having trouble finding the linear equation for it

[oak chasm]

@alpine sable You can make the slope-intercept form.

What's the y intercept?

[keen trail]

Sorry but how do you solve c2

I get c1 but c2?

[wary stream]

Plug c1 back into one of the equations and solve for c2

[keen trail]

Ohhh

The result will be the same if i plug in one of them right?

[wary stream]

Yes

[glass lichen]

You either draw the yellow balloon 1st 2nd or 3rd, so compute each of those probabilities

or just draw a tree diagram

[alpine sable]

how me do dis

me no know how get central angle in radians

:(

[cloud valley]

Who can show me that P != NP ?😏

[ocean seal]

Chai T. Rex

[oak chasm]

I guess unless P = 0.

[ocean seal]

Chai T. Rex

[pallid monolith]

Is it possible to have a scalar surface integral that is negative?

[fallen crow]

How do i get the graph of this?

[fossil meteor]

if it's a tangent, then the angle it makes with the diameter is 90 degrees

so you pythagoras theorom

and you will get the third side @crisp dragon

[full wasp]

so the equation of a circle is (x - xₒ)² + (y - y₀)² = r² right

have u learnt this form of a circle equation

[tacit breach]

I dont remember what numbers to plug in

[full wasp]

xₒ and yₒ are the coordinates of the centre of the circle

and r is the radius of the circle

so ur gonna need to whip out a ruler or something to find the middle of the circle

[tacit breach]

yeah ill get a telescope hold on

[full wasp]

that sounds kinda overkill 🤔

there looks good

yeah so now use that equation i sent

[tacit breach]

whole different circle mb

[full wasp]

(xₒ, yₒ) -> centre of the circle | r -> radius of the circle

(x - xₒ)² + (y - y₀)² = r²

should be pretty easy i hope

[tacit breach]

so (-3,2) is the center

[full wasp]

yeah

[carmine lion]

(x+3)^2+(y-2)^2

[tacit breach]

What do I do after that

[alpine sable]

for this can I just multiply a-1 by the denominator of 2a^2-9a-5 and vice versa for the second fraction? (all over both denominators multiplied by each other)

[oak chasm]

@alpine sable It's not asking you to simplify.

@alpine sable What can cause that expression to be undefined?

[oak chasm]

Oh, sorry.

[alpine sable]

lol its simplify n get restrictions

Ik how to get restrictions

im just getting a diff answer attempting to simplify

[tacit breach]

@full wasp

[quick surge]

can anyone teach me

#help-1

[full wasp]

hi whats up with the ping

[tacit breach]

for the circle

What do I do afteri got the equations

(x-3)^2+(y+2)^2=r^2

[full wasp]

u have to add = r² where r is the radius

your final thing will be

because 36 is 6²

[tacit breach]

How does (y+2)^2 turn into -2

[fossil meteor]

what is the answer

[full wasp]

it shouldnt

(-3,2) was the center

[tacit breach]

It inverts?

[full wasp]

refer back to the equation

[tacit breach]

Oh yeah

gotcha

[crisp dragon]

17?

[fossil meteor]

@alpine sable

solving this will give you the ans

[alpine sable]

ohhh

i got stuck since i multipled everything out first

[fossil meteor]

correct

[alpine sable]

n tried to factor after

[fossil meteor]

factoring after LCM made it easier

[crisp dragon]

can you look in question 1

[alpine sable]

tysm

[fossil meteor]

welcome

[fossil meteor]

repost it please

[crisp dragon]

I got 3 but need multiple confirmations

already got 2 people to confirm just need to be safe

[fossil meteor]

equate both the equations as tangents drawn from the same point are equal

[crisp dragon]

so 3?

[fossil meteor]

right

[crisp dragon]

alright thanks

[fossil meteor]

👍

[dark juniper]

hello, can someone tell me what i did wrong here

the first table is the sampling distribution

[nocturne juniper]

so the lengths should be equal
3x + 3 = 5x - 3

[dark juniper]

idk, im confused with the last column of second table

[worldly wraith]

the formulae in the table(s) look correct

[dark juniper]

ohhh

okokokok thanks

[alpine sable]

can someone help me w algerbra 1 inequalities

im so lost i regret not paying attention

kk

kk ty

nope

She doesn’t she just say kk

[plush bear]

can i get help in #help-1

[alpine sable]

lol im just confused idk wht im adding togther

ooo ok

igh

[plush bear]

just wait until you get to where i am
with trig ratios and stuff

[toxic dust]

Is there a lesson going on here?

[alpine sable]

lol im sturggling freshman year i cant even imagine next year when i have to take geometry

[plush bear]

the picture above scares me

[toxic dust]

Anyone know why they have **-**lim

why is the limit negative

[toxic dust]

Its Calc 😄

[plush bear]

tell me about it, i didnt pay attention in algebra when we learned the basics of cosine and sine

and now im literally struggling out of my mind

can someone help me over in #help-1

[toxic dust]

huh?

[muted raft]

am i blind? Which line is the negative limit?

[toxic dust]

Third line

[muted raft]

third line says limit of x->2?

[muted raft]

oh

[alpine sable]

They simple missed the negative sign in line 2

Simply*

When writing 27-x as x-27

[toxic dust]

That would be -27-u^3

Oh so they just took out the - from the numerator?

[alpine sable]

Ye they did

[muted raft]

they just took out the negative? thats pretty much it i think

[alpine sable]

and forgot to write minus in second step

[toxic dust]

Why you adding _ after every word?

[toxic dust]

So in the future how would ik if i need to factor out the negative

[muted raft]

You didn't need to take out the negative

It really doesn't matter.

If you find it easier, then go ahead.

[indigo vine]

is this channel free

now?

ok

for this question

can we multiply everything by 2

to factor?

[toxic dust]

Oh so at the end we can take it out.

[indigo vine]

or no

[toxic dust]

ANyways we prefer

[indigo vine]

i want to get rid of the fractions

no that takes to long

factoring is much easier

[toxic dust]

wait am i tripping or what, the demoninator is already the same so why cant u just do x^2 + 5x + 3?

and factor that

[muted raft]

Yes you can multiply them by 2

but make sure you multiply all of the terms

[indigo vine]

i did

but

i dont get same asnwer

$x^2+5x+6$

[ocean seal]

sdfsdf

[indigo vine]

thats after i multipled by 2

[muted raft]

Yes and?

[indigo vine]

then i got

then i did box method then factored it

$(x-1)(x+6)$

oh

[ocean seal]

sdfsdf

[indigo vine]

so i divide that by 2?

[sharp chasm]

Yah

[indigo vine]

x-1/2 and x +3?

how?

i did box method

[toxic dust]

If your in doubt on the side expand it, and see if u get the original equation

[indigo vine]

no look

@alpine sable

is that not righ

[toxic dust]

@indigo vine it isnt mate

[indigo vine]

then how are u supposed to do it?

[toxic dust]

U want +6 not -6

[muted raft]

$x^2+5x+6 = x^2 + 2x+3x+6$

[toxic dust]

What 2 values give u 6 but add to 5

[ocean seal]

zslya

[indigo vine]

2 and 3

[muted raft]

now factor and simplify

[toxic dust]

Yeah so why did u use 6 and -1?

[indigo vine]

cuz it gets u +5

[toxic dust]

There are more then 1 way of getting the number

but yeah now use what slya said

[indigo vine]

how did u get 2x+3x

[muted raft]

what is 2x+3x

[toxic dust]

x is just a variable

[indigo vine]

i did not learn it that way

[muted raft]

I can write 5 as (5 + 0, 4 + 1, 3 + 2)

[toxic dust]

So whatever your AC value is, in this case it was 2 and 3, we gonna plug that in the middle

[muted raft]

does it change the value of 5?

[indigo vine]

i learnt the box method with those 2

numbers

[alpine sable]

Your basic way of factoring is to find 2 numbers such that there sum is +5, and product is +6

they r 2 and 3

[toxic dust]

Its still going to be (x+2)(x+3)

[alpine sable]

so u write 5=2+3

[indigo vine]

but using 1/6 and 1/1 still gets u the same answer

how would u knopw

[toxic dust]

Okay can you expand this for me @indigo vine.... What do you get

[indigo vine]

whats right and wrong

[indigo vine]

wdym expand

[toxic dust]

Open up (x+2)(x+3)

use FOIL

[indigo vine]

x2+5x+6

[toxic dust]

+6

[indigo vine]

ok so to check we just use foil

[toxic dust]

No no wait

Hold up

[toxic dust]

Its x^2 + 5x + 6 right

[indigo vine]

yea

[toxic dust]

Is that not the same thing as what Slya said?

[muted raft]

ZSLYA

[past lichen]

(x+2)(x+3), so the two solutions are x=-2 and x=-3

[alpine sable]

Using +6 and -1 does not give u a product +6

[muted raft]

where did my z go huh

[toxic dust]

https://tenor.com/view/okay-you-get-the-idea-arun-maini-mrwhosetheboss-you-get-the-picture-you-get-the-point-gif-19402936

[alpine sable]

How to pronounce your name ?

[toxic dust]

I was hungry so i ate it

[muted raft]

lmao its pronounced slya

[alpine sable]

Lol

LOL

[fresh wigeon]

At the end of the summer, you've earned $1500 from your job. You decide to save all of the money, so you open an account that earns 5% interest compunded monthly. Write an equation that represents the amount in your account (A) after t years.

[toxic dust]

Basically if ur having trouble you can work backwards also

[alpine sable]

5% per annum = 5/12 % per month

take time as 12t months

and so amount = P(1+5/1200)^12t

[toxic dust]

@indigo vine do we not get the same answer?

[toxic dust]

I wasnt wrong them

was i 😉

[muted raft]

No

I still want my z

[toxic dust]

But if its pronounced as Slya why u need the z?

[past lichen]

Zlya

[fresh wigeon]

@alpine sable but it says monthly 12%

[muted raft]

It is pronounced slya but the name is still zslya.

[fresh wigeon]

5% i mean

[toxic dust]

Do you know the compound formula?

[alpine sable]

If it says monthly 5 then use 1+5/100

but i guess it should be specified to not confuse anyone

[past lichen]

M = C * (1+5/100)^t

C is 1500

t is time

And M the final amount

[alpine sable]

Ye but t years mean 12t months

[past lichen]

Can’t you just elevate by 12?

Oh no nvm

It’s 1

So nothing

No it’s 5% monthly, it’s correct doing ^12, isn’t it?

[fresh wigeon]

P(1.05)^12t

that should be right

[past lichen]

It should be -> M = 1500 * (1+5/100)^12

[past lichen]

Yeah

[fresh wigeon]

ok

[crystal fulcrum]

Is this correct

[proper hare]

I need help is this right

<@&286206848099549185>

[dense mirage]

Anyone know how to turn this into x over 2

[alpine sable]

5xcube / 20x square = 5x^2 /20 = x^2/4 , then taking sqrt = x/2

[dense mirage]

What wdf

[alpine sable]

Thats the formula for cos a-b, not cos a+b

[dense mirage]

Can u explain step by step

Idk what u just did

[alpine sable]

it aint

[fresh wigeon]

Write the exponential growth function in transformation form that matches the graph below. Let b=3

[alpine sable]

An exponential function is of the form a.b^x + c

when x tends to minus infinity, u get c

which is -3 according to ur graph

Not put x =4 and x= 5 in the eqn, u have respective values of y, and u get 2 eqns in a and b

[dense mirage]

7 flowers

Can I explain my steps for my screenshot

[alpine sable]

Yes

[dense mirage]

Ok it's different then what u did

[alpine sable]

Ok

[proper hare]

Wait so can I see how you would do this one as I have a similar problem that has this format that I want to see how it is done correctly

[dense mirage]

So first I multiplied the outside number to the variable and numbers on bottom and top. So I got 5 ( 1 over 2 ) , x ( 3 over 2 ), and for the bottom, 20 ( 1 over 2 ), and x ( 1 over 2 ) then I added both the number and variable fractions on the top and bottom so 1+3 = 5x( 4 over 2 ) and 20x ( 2 over 2 )

Now idk what to do

[alpine sable]

Yep

[proper hare]

Can someone help

[alpine sable]

this looks like a live test shouldnt cheat

[dense mirage]

so what's the next step

[strong wyvern]

damn

[dense mirage]

?

[alpine sable]

U should have 5 ^1/2 / 20^1/2

and then u multiply b 5^1/2 both sides

[dense mirage]

Fuk dude my teacher taught it another way

[proper hare]

It isn’t

[dense mirage]

She said to add both the fractions

The top onces

And bottom ones

[alpine sable]

Then u should see that it asks u subtract. Angles, not add them

[proper hare]

It says add though right?

[alpine sable]

The formula for cos(a-b) is cosa cosb + sina sinb

so the given expression is of this form

so it is cos (85-55)

[proper hare]

Oh yeah thank you

I was mainly concerned about the last part of it

I got it

[thick salmon]

I ended up getting -6+or-48

ohhhh

im dumb

no

but the answer is 4.5

that's what the answer key says

[karmic crypt]

I got 4.5 or -7.5

Yeah quadratic formula

[thick salmon]

ik im using the quadratic formula

the x method

[alpine sable]

No need

Just factorize

[thick salmon]

bro

that's cool

I still don't know how to do this

[karmic crypt]

It’s hard to factor when they aren’t whole numbers but yeah that works too

[thick salmon]

ok

what's the easiest way doe

[karmic crypt]

Your probably supposed to use quadratic formula

[thick salmon]

yea

I am

so how do I do it

[karmic crypt]

Idk is there?

I just factor or quadratic formula it

[karmic crypt]

You gotta sub each value into the quadratic formula

[thick salmon]

I know that

a, b, c

what is that

[karmic crypt]

That’s what you do

[thick salmon]

bro

bro

[karmic crypt]

It looks messy cause it’s in 1 line

[alpine sable]

In the equation ax^2 +bx + c, you try to find two numbers x and y such that x+y is b and xy is ac

Then split the middle term

That's one way

[thick salmon]

I think im sped

[upper spruce]

Are u in std 10?

[karmic crypt]

That should get you the answer

[thick salmon]

ok

[dense mirage]

Yo

[thick salmon]

I have to do this all manually

[dense mirage]

Sherlock homes

I have a questiom

If the speed of light is faster then Usain bolt how big is Jimmy neutrons head

??

Thank you for ur trash explanations buddy

That was expected

[karmic crypt]

3 radians

[alpine sable]

Radians 😂?

[karmic crypt]

Ugh

Is this calc 1 or 2?

[alpine sable]

ugh

[sudden escarp]

https://youtu.be/Fb6kGL-zN-E sub guys lol

shit man wheres the good one

[alpine sable]

see videos on youtube

on integration

[sudden escarp]

ly

[alpine sable]

Shut.

[karmic crypt]

Organic chemistry tutor

[alpine sable]

https://youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr

[karmic crypt]

What calc is it?

[dense mirage]

Yo

This is calculator

We use SPEDMAS

[alpine sable]

y doe?

[dense mirage]

Just use spefmas

Spedmas

[alpine sable]

Then hire a private tutor

Man has short attention span ig

That's not good if u want to learn calculus

Read Thomas calculus

Its hard to explain calculus on fricking discord

Exactly

[proper hare]

Is this correct so far?

[alpine sable]

Are you having a test¿

Youtube is probably the best option if you dont wanna put in money

Yes

Indian guys on YouTube

Or take a calculus book

[dense mirage]

It's not

[proper hare]

It’s a practice assignment

[dense mirage]

It's just a weiner

[proper hare]

Yeah I’m not in calculus yet

So what should I do with the left

[alpine sable]

[dense mirage]

Just eat the cock

[proper hare]

nice

[alpine sable]