help-0

[wary stream]

Now you can just plug in the value of C and leave it alone, like what you did with A

[kind patio]

I have a question

using the same methods we got for A and C

[wary stream]

$1(x^2 + 9) + (B * x + C)(x - 1) = 10 \to 1(x^2 + 9) + (B * x+ -1)(x - 1) = 10$

[ocean seal]

dldh06

[kind patio]

why am I not able to do Bx-C=x^2+9

Or Bx-1=x^2+9

[wary stream]

What happened to the 10?

[kind patio]

oh so it would be Bx-1=10(x^2+9) ?

naw u def wouldn’t get the right answer

w that

[wary stream]

It would be
(Bx-1)(x - 1)=10 - (x^2+9)

And you can't plug in x = 0 else you lose B

[kind patio]

so then Bx-1=-x^2+1

but that square messes it all up

well u could divide x by both sides

[wary stream]

No don't do that

[kind patio]

so B=x+2

oh

[wary stream]

Do you understand this part?

[kind patio]

yes

[wary stream]

So you have want to solve for B, but you have to deal with that x, if you make x = 0, then B gets eliminated which is no good

If x = 1, B gets eliminated, also no good

So the values of x, you can use that doesn't eliminate B is any value that is not 0 or 1

x = 2 is the most simpliest value to use

Because if x = 2 then $1(x^2 + 9) + (B * x+ -1)(x - 1) = 10 \ to 1(2^2 + 9) + (B * 2+ -1)(2 - 1) = 10$

[ocean seal]

dldh06

[wary stream]

And 2 - 1 = 1

You can make x whatever you want but x = 2, is the easiest

[kind patio]

so they simply made it 2 because it was the easiest

[wary stream]

Yes

[kind patio]

why not just plug in 1 and get rid of B entirely

[wary stream]

Why?

You're trying to solve for B

Not eliminate it

You have $1(x^2 + 9) + (B * x+ -1)(x - 1) = 10$

[ocean seal]

dldh06

[wary stream]

If x = 1 then B is gone

And you can't solve for B

The goal is to solve for A, B, and C

[kind patio]

so theoretically

if i wanted to

[kind patio]

I could@plug in x=3

[wary stream]

Yes

[kind patio]

and B would give me the same number?

[wary stream]

Try it

Plug in x = 3

[kind patio]

that checks out

[wary stream]

And see what you get for B

[kind patio]

also question

if tan^2(x) +1 =sec^2x

why can’t secx = tanx+1

[wary stream]

Did you sqrt both sides?

Because $\sqrt{a + b} \neq \sqrt{a} + \sqrt{b}$

[ocean seal]

dldh06

[kind patio]

well like if i sqrt tan^2x do I not get tanx?

[wary stream]

You do, but if it's $tan^2(x) + 1$, $\sqrt{tan^2(x) + 1} \neq \sqrt{tan^2(x)} + \sqrt{1}$

[ocean seal]

dldh06

[kind patio]

ok finally so I don’t keep you here too long

for number 4

is it incorrect to use the sin2x= 2sinxcosx

on the right

as I got 1-cos4x instead of 1+cos4x

[wary stream]

No clue sorry

[lone heart]

@kind patio Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[native bramble]

I understand that 5pi / 6 is 150 degrees, which means it is before pi so pi - theta is correct

but how did they get from - (cos pi - 5pi / 6) to - cos (pi / 6)

[lunar ravine]

1-5/6

is 1/6

[native bramble]

what

[gleaming ridge]

it's not a property or anything

all they did was compute pi - 5 pi / 6

[sonic ridge]

$\pi-\frac{5\pi}{6}=\frac{6\pi}{6}-\frac{5\pi}{6}$

[ocean seal]

light

[sonic ridge]

thats all there is to it

[lone heart]

@native bramble Has your question been resolved?

[alpine sable]

Let m/n be a fraction, where m and n are positive integers. Consider the operation defined by replacing m/n by (m+1)/(n+1) and then writing the result in lowest terms. For example, applying this operation to 5/14 would give 2/5. How many times must this operation be repeatedly applied to 1/2005 before we obtain 2004/2005?

I don't understand where to start

[lone heart]

Channel closed

Closed by @native bramble

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[median ledge]

https://youtu.be/Qlu4n2AtBeY?feature=shared

[median ledge]

straight precalc

boy this came from math three

[fickle sandal]

!status

[lone heart]

What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above

@median ledge Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[tough lily]

i am having some confusion on how to sollve

do i use f(x)-f(a)/x-a or do i find the derivative of each eqaution

[barren glade]

derivative

u/v

[tough lily]

what is u/v

[barren glade]

or wait

no thats it

[tough lily]

i see.
so would that look like this :
((x-5) d/dx (x+3) - (x+3) d/dx (x/5))/(x-5)^2

which would then simplfy to

[barren glade]

yes

[tough lily]

((x-5)-(x+3) )/ (x-5)^2 ?

[barren glade]

mhm

now just plot in the value of x

to find the slope at the specified point

[tough lily]

whats the mathematical reasoning for it to simpfly like that

ik to do it like that but im not sure how/why

[barren glade]

what do you mean

[median oar]

$\frac{d}{dx}uv^{-1}=u’v^{-1}+(-1)v^{-2}v’u=\frac{u’v-v’u}{v^2}$

[ocean seal]

Frosst

[barren glade]

listen

for these

[median oar]

This is just a fancy product rule

[barren glade]

you know how to find the gradient of a normal curve right?

think of this as the exact same as that

but here

you need to apply a "fancy product rule"

[tough lily]

maybe

not sure by name

[barren glade]

you just differentiate it thats it

but you can't do it the regular way with this

practice more and u'll get used to it

[tough lily]

taking calc 1 online was not a good idea... 🥲 😂

thank you

[barren glade]

np

[barren glade]

mhm

[upper moat]

i need help

[tough lily]

so the slope of the problem should be -8?

[lone heart]

@tough lily Has your question been resolved?

[tough lily]

then for a problem like this to find the slope

I would fine the derivitive of √x which would be

(1/2)x^(-1/2) or 1/x^(1/2)

so would the slope be 1/a^.5

<@&286206848099549185>

[fickle sandal]

$\frac{d\sqrt x}{dx}=\frac{1}{2\sqrt x}$

[ocean seal]

chlamydia

[lone heart]

@tough lily Has your question been resolved?

[tough lily]

this would give me the derivitive

how do i find the slope in accordance to x = a

[lone heart]

@tough lily Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lone heart]

Please don't occupy multiple help channels.

[alpine sable]

#3 first time doing this

i am unsure of why the integral on the right becomes -2?

[fickle sandal]

you perform partial fraction decomposition on the LHS

[alpine sable]

OH then A and B = 1/2 so multiply by 2? but why is it negative?

[fickle sandal]

A and B might be -1/2

so the 1-x flips to x-1 too

uh

[alpine sable]

thats why theres a minus sign in front of 1/x+1 tho

wait

thats not right

why did they do that lol

[fickle sandal]

1\x-1-1\x+1=x+1-(x-1) \x^2-1

which is 2/x^2-1

[alpine sable]

why didnt they just leave 1/x+1 in front of -1/x-1

[fickle sandal]

which is -2/1-x^2

no it's right

[alpine sable]

bro youre gonna have to separate your fractions

use parentheses

[fickle sandal]

$\frac1{(1-x)(1+x)}=\frac a{1-x}+\frac b{1+x}=\frac12(\frac1{1-x}+\frac1{1+x})$

[ocean seal]

chlamydia

[fickle sandal]

yeah

and then they multiplied both sides by -2

[alpine sable]

yes i got that but why not just rearrange so its 1/1+x + 1/1-x then apply linearity so its 1/x+1 - 1/x-1

so no need for negative, ya?

because theres a negative in front of 1/x-1 now

does that not work?

[fickle sandal]

what's the point of that?

[alpine sable]

you dont need -2 then

its just 2

right?

https://tenor.com/view/speech-bubble-cat-talking-reply-gif-24471552

[fickle sandal]

full spamming

[simple portal]

srry

[alpine sable]

yeah?

thats what youd get by using my method

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @crude ginkgo

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[twin thunder]

why does k = n-1?

[pale kestrel]

"let k = n-1"

[twin thunder]

yea but why

[pale kestrel]

thats just a designation

no reason, they just thought it was nicer to work with.

[twin thunder]

i see

so say this kind of question appears on an assessment... would it be easier to use induction instead of direct proofing?

by easier i mean faster

[pale kestrel]

either works

i dont think its faster in terms of writing it down, but if its simpler to understand for you, go for it.

[tender crane]

if k = n-1 and if n=0 then k = -1 or there's a thing that makes that not possible

[twin thunder]

how so

[twin thunder]

actually, is there any need to set k as anything to begin with? if n works as some number k why dont I just use n for 3m and skip the k step?

[pale kestrel]

theres no need.

they wanted their equivalence classes mod 3 to be
0 + 3n
1 + 3n
2 + 3n

rather than

-1 + 3n
0 + 3n
1 + 3n

[twin thunder]

wouldnt the answer be the same

[lone heart]

@twin thunder Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[deft stag]

im not sure how to make the bases the same

[vale wigeon]

125 is 5^3

27 is 3^3

[lone heart]

@deft stag Has your question been resolved?

[deft stag]

do i make it to the power of -3

alr thx

[lone heart]

Channel closed

Closed by @deft stag

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[glossy cloud]

How do I get the answers to these questions? Please don't tell me the answer, I just want to know how.

[glossy cloud]

I think I need the tangent function, but for the first one I keep getting 1.64, but it isn't that.

[median oar]

What is the tangent function

[glossy cloud]

tan, from trigonometry,

[median oar]

What does it do

[little wave]

it depends where the angle is

[glossy cloud]

Well its the adjacent ones to the angle that I need to work out, so they should all be in the same place kind of

[little wave]

yeah exactly its tan function

[glossy cloud]

What would you say the answer to the first one is, to see if we got the same

[little wave]

let me 5min

[glossy cloud]

sure. lmk

[little wave]

~9.9

you want me to explain ?

[glossy cloud]

Yes please

[little wave]

(i apologise for bad english)

so first the formula is

tan () = opposite / adjacent

so

adjacent = opposite / tan()

we remplace with number

adjacent = 4/tan(22)

=~9.9

[glossy cloud]

Bro you're a lifesaver, I couldn't find that formula anywhere

[little wave]

its okay buddy

you want the other ones ?

sin and cos ?

[unkempt robin]

I mean, it's not really a formula

[glossy cloud]

Nah I've got them.

[little wave]

okay perfect

[unkempt robin]

You know $\tan{\theta}=\frac{opposite}{adjacent}$

You've got theta and you've got opposite, so you just solve the equation for adjacent

[little wave]

yeah it's an equality

[unkempt robin]

I meant tan

**

There

[ocean seal]

USS-Enterprise

[lone heart]

@glossy cloud Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[next mantle]

can anyone explain how it turned into the 2nd equation?

[vestal stag]

Chain rule but reversed

f’g + g’f = d/dx (fg)

[next mantle]

oh right

thank you

.close

[lone heart]

Channel closed

Closed by @next mantle

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[coral flower]

how to find the points where a functions value is increasing

[coral flower]

ik how to find a point using maxima and minima

but how to find points , i got this question as a MCQ
Find the points at which fx = 2x^2 + 8x +3 value is increasing

[vale wigeon]

"increasingness" is a property of a function itself not of its value.

[vestal stag]

if f’(x) > 0 means it’s increasing since it has positive slope

[vale wigeon]

^

[vestal stag]

Likewise with f’(x)<0

[vale wigeon]

was gonna type that but got interrupted

[coral flower]

i dont understand

[vestal stag]

Derivative

[coral flower]

i only know how to find the critical points using 2nd order defferentiation

[vale wigeon]

f increasing <=> f'(x)>0

1st derivative

not 2nd

[vestal stag]

f’(x) > 0 means it has positive slope

Means it should be increasing

[coral flower]

so the derivative of this is going to be 4x + 8

what does it mean? f`(x) is greater so its positive

[vale wigeon]

now solve the inequality 2x+8>0

[coral flower]

the options to this mcq was (i am giving these options from memory so the brackets type could be wrong but they were something like this)
(negative infinity , 2] [2,infinity)
(negative infinity 0) (0,infinity)

[vestal stag]

To find the points where the function is increasing, just look for the value where f’(x) > 0

[vestal stag]

In another word, it’s this

[coral flower]

2x > -8
x > -4

x is lesser than 0 so its decreasing?

x can be positive also so it can be increasing ?? im confused

<@&286206848099549185> ??

[vale wigeon]

x>-4

so your function is increasing on (-4,+infty)

the sign of x is actually irrelevant here

[coral flower]

i still dont get it

[coral flower]

x>-2 im just dumb and derivative isnt 2x+8 but 4x+8

[lone heart]

@coral flower Has your question been resolved?

Channel closed

Closed by @coral flower

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[glacial cargo]

How do i solve this differential equation it is in my book : sinx*y’ + cosx * y = x

[glacial cargo]

I am trying to use integrating factors, as that is what the chapter in the book is about

Now I have the equation y’ + (cosx/sinx)* y = x/sinx

But I Dont know how to take integral of cosx/sinx to create the integrating factor e^G(x) där G’(x) = g(x)

What have I missed?? Am i supposed to know the integral becouse I were not thaught that in the book

[pallid horizon]

A general way to solve this type of exercise is trying to write sin(x)y'+cos(x)y as (fy)' for some f you have to find.

So compute (fy)' and try to find f.

[glacial cargo]

Yes the book tells my that in this case were I have first order of differential equation, f = e^G(x)

That far I have solved already

But how to integrate????

Oh yes sorry G(x) inte this case is cosx/sinx

The general form for the equation in the book is: y’+g(x)y= f(x)

[royal meadow]

it's a standard integrating technique

cos(x) is derivative sin(x)

so let y = sin(x)

[pale kestrel]

is this the integral of tan?

[royal meadow]

no

but similar

[pale kestrel]

you know how to integrate the general form f'/f

[royal meadow]

integral of cot

[pale kestrel]

oh ok

[pale kestrel]

even better lol

[royal meadow]

then $\frac{cos(x)}{sin(x)} = \frac{1}{sin(x)} cos(x) = {\frac{1}{y}} y'$

[ocean seal]

Kaisheng21

[royal meadow]

and this is easy to integrate

[ocean seal]

Statufi

[glacial cargo]

should I use substituion?

do I need to?

[lone heart]

@glacial cargo Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hazy anvil]

"find all functions f(x) = y from X = {a, b} to Y = {u, v}. Express the answer as a set with valid functions defined by lists in the form of [f(a) = ... , f(b) = ]"

"find all functions from X = {a, b, c} to Y = {u}"

[pallid horizon]

What's your question?

[hazy anvil]

my question is how do I find the answer?

[pallid horizon]

Well the best way is to draw your two sets side to side and find all the way to link their elements

[hazy anvil]

I wrote f(a) = u, f(b) = u, f(a) = v, f(b) = v

and that was wrong somehow

[pallid horizon]

Actually you found 2 functions yes, one is constant equal to u, other constant equal to v, but there are others

[hazy anvil]

how many are there?

[pallid horizon]

Well, do what I proposed: draw the two sets and all functions you can find by linking their respective dots

You will see

[hazy anvil]

will do

it has to go from x to y, right?

[pallid horizon]

Yes

[lone heart]

@hazy anvil Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[indigo solar]

Oh

Also should my trial function be
y = Cx + D + E(x^2)e^2x
If λ was = 2

[lone heart]

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lone heart]

@wet cloak Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[vale wigeon]

unambiguously 1/6

[spare compass]

but here

they

[vale wigeon]

$\frac32$ would have been $\frac{1}{\ \frac23 \ }$

[ocean seal]

Ann

[spare compass]

oo

i get it

there is a difference between

numerator fraction and denominator fraction

[vale wigeon]

there sure is.

[spare compass]

:).

thanks

.close

[lone heart]

Channel closed

Closed by @spare compass

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cinder sundial]

Are they equivalent

[pale kestrel]

what is P, E, H

[cinder sundial]

Probability, Events

[pale kestrel]

So H is an event

what is H'

[cinder sundial]

The non-H event

[pale kestrel]

ok but i would not use that logical not symbol

[cinder sundial]

Really

[pale kestrel]

thats not a predicate

\lnot applies to predicates.

[cinder sundial]

Do you mean it is obscure uncommon to use the prime to mean “non”

[pale kestrel]

I can understand ' fine.

i think \not is improper notation

[cinder sundial]

U mean the weird notation on the right side of the equation

[pale kestrel]

,,\lnot

[cinder sundial]

Yes

[pale kestrel]

unless events are predicates, i dont think they are, idk.

its just notation anyways. doesnt matter as long as its understood in the end

[cinder sundial]

That are equivalent as the prime notation

[cinder sundial]

No, it is important like some words have similar meaning but it’s actually slightly different

[pale kestrel]

🤨

I dont understand your original query

[cinder sundial]

We have to know when situation to use which

[pale kestrel]

the notation means exactly what it is defined to mean

it must be defined within some context, else it is meaningless

If you showed the definitions youre working with maybe your question would be clearer

[cinder sundial]

Which of them is more common?

Would you use the prime or that weird notation

Which do you prefer

[pale kestrel]

ive told you the previous one looks better

[lone heart]

@cinder sundial Has your question been resolved?

[dawn kettle]

anyone ?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dense wolf]

i've solved it up to the factors

[dense wolf]

i dont know why i got the factors, but when i asked help they said "get the factors" so i did

(x+4)(x-3)

im supposed to solve for x

[real parrot]

how did you get x+4 and x-3 ??

[dense wolf]

first i made them same base because originally on the right side it was 25^4x+5

[real parrot]

hmm

[dense wolf]

then computed it and got 5^8x+10

now i solved the exponents since bases are equal, and when bases are equal i assumed that the exponents must also be equal

i dont know what the hell i did but for some reason i got to x^2-x=12

that's when they told me to get the factors

[long axle]

That ain’t it chief

[dense wolf]

yeah it sure aint it 💀

[long axle]

So u set the exponents equal

$x^2 + 6x -14 = 2(4x+5)$

[ocean seal]

Stephen

[real parrot]

yup

[long axle]

Now get everything on one side and simplify

[real parrot]

and solve the equation

[dense wolf]

$x^2+6x-14 = 8x+10$

[ocean seal]

moai

[dense wolf]

i switch -14 and 8x places right?

[long axle]

Get everything to the left side

Bring the 8x and the 10 over

[dense wolf]

and equate them to 0?

[long axle]

Yes ofc

[dense wolf]

x^2-2x-24=0

am i on the right path here?

@long axle

<@&286206848099549185>

[lone heart]

@dense wolf Has your question been resolved?

[dense wolf]

<@&286206848099549185>

[pseudo nymph]

what is it?

[dense wolf]

im trying to solve this exponential equation and so far i've only gotten up to this point

[pseudo nymph]

i can just do quadratic equation

and polynomal division mabye so idk

[dense wolf]

.-.

weeeelp guess i'll just continue this tomorrow

[pseudo nymph]

google it

or ask chat gpt

[dense wolf]

google aint know nothin

[dense wolf]

even worse

it dont even know what to do

[pseudo nymph]

use photomath

or ask a teacher or somthing

[dense wolf]

you're basically telling me to cheat .-.

[pseudo nymph]

no

the thing you do is use another example and se how it solve it

thats how i learn shit

or i google it

[dense wolf]

makes sense

https://cdn.discordapp.com/emojis/1061391262428713040.webp?size=48&name=shrug&quality=lossless

[pseudo nymph]

[dense wolf]

ogey well ty anyways

[pseudo nymph]

idk i am not so good at math

[dense wolf]

.close

[lone heart]

Channel closed

Closed by @dense wolf

Use .reopen if this was a mistake.

[long axle]

.reopen

[lone heart]

✅

[long axle]

@dense wolf

[long axle]

Good

Now do u know how to factor

[dense wolf]

yeah

(x-6)(x+4)

@long axle

@long axle

.-.

.close

[lone heart]

Channel closed

Closed by @dense wolf

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[regal vine]

can some one help me with this

[regal vine]

its real hard fr

[abstract crystal]

IDK if this is hard

[regal vine]

anyway lol, can u help me with this

[abstract crystal]

Wait

You sure there is no any other conditions?

I'm confused

[regal vine]

yes im very sure

this is all the infor

[abstract crystal]

I guess the only way you can solve it is to prove that these triangle are similar triangles

And find the ratio

Let me see if i could solve it

[regal vine]

yes thats a good point

i will try by myself 2

[abstract crystal]

Oh wait

I get it

[regal vine]

wow

[abstract crystal]

this triangle had two 90 degrees angle

which it means

there is an invisible circle arround the 90 degrees

[regal vine]

in the center of the big tri?

[abstract crystal]

I had a long time not doing this kind of math question

But it probably got many ways to solve it

[regal vine]

but how can we use this circle to solve it

im a little bit confused rn

[abstract crystal]

I guess

Let me show you

[regal vine]

ok thx

[abstract crystal]

Inscribed quadrilateral of a circle

yeah

Have you learned that before

∠C=∠B

[regal vine]

nope XD

[abstract crystal]

I mean

my bad

∠C+∠B=180

Probably useless condition

[regal vine]

but is that c + b = 90 lol

cuz its a tri?

idk actutally

[abstract crystal]

The sum of angles in quadrilateral i 360

two angles is already 180 degrees

so the rest of em has to be 180

but this is weird

[regal vine]

ohhh ic, but idk where is the quadri that includes c and b

[abstract crystal]

I don't think this might help

[regal vine]

its ok lol its hard fr

[abstract crystal]

lol

its ∠EDA

I forgot about it

[regal vine]

XD

maybe we can prove it is silmiar then we can use ratio

like

[abstract crystal]

yea

[regal vine]

cuz tri bde and tri bac share a same angle

and they both have 90 angle

therefore they are similar?

but i still cant imagine how can we get the ratio

[abstract crystal]

Yeah

that is the problem

[regal vine]

maybe we can make a quation contain two vari

and solve it

lets try it ilol

ohhhhhhh

i figure it out

[abstract crystal]

you did?

[regal vine]

yes

i can send my steps rn

can u see that?

[abstract crystal]

wait

you still have to prove that its simlar

You can't just do like that aren't you?

[regal vine]

yes i have proved b4

[abstract crystal]

hmm

ok

[regal vine]

i think they r similar

[abstract crystal]

umm yea

Congrats

[regal vine]

thx XD

thanls for helping lol

i forgot we can use similar at first

[abstract crystal]

np

[regal vine]

thansk for reminding

[abstract crystal]

But i totally forgot the determine of similar triangle

lol

[regal vine]

its ok

see u then

[abstract crystal]

see ya

[regal vine]

.close

[lone heart]

Channel closed

Closed by @regal vine

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[charred dock]

how do i do this

like I very much did it wrong

I have to plug in 3/x into 7x-2 right

how do I do that?

[vale wigeon]

you were supposed to simplify $7\cdot \frac{3}{x} -2$

[ocean seal]

Ann

[vale wigeon]

you didn't simplify, that's what it doesn't like...

[charred dock]

lol okay ummm

so how do I get 7 and 2 to be able to work with x in the denominator

I multiply by x/x?

no idk if that works

cause then I have 21/x - 2x/x which is 19/x

so umm what should i do

dang okay

well um surely I can do this?

.close

[lone heart]

Channel closed

Closed by @charred dock

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[sick solar]

please help me w this question : int (1/1+tanx) dx

[tacit arch]

,w int 1/(1+tan(x))

[ocean seal]

Results provided by WolframAlpha

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

Requested by rie.mann

[tacit arch]

oh multiply top and bottom by cos(x)

[sick solar]

i did

[tacit arch]

so what are you stuck on?

[sick solar]

the next step

cosx/cosx+sinx

[tacit arch]

add and subtract sin(x) in the numerator

[sick solar]

😭

sinx/cosx+sinx

now what

[lone heart]

@sick solar Has your question been resolved?

[sick solar]

.close

[lone heart]

Channel closed

Closed by @sick solar

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[desert vapor]

x+105º=87º+98º

[desert vapor]

<@&286206848099549185>

[lethal citrus]

what is 87+98 ?

[desert vapor]

I already got it, thank you very much!

.close

[lone heart]

Channel closed

Closed by @desert vapor

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

Looking for someone to do some worksheets with me cause I have a test upcoming

[alpine sable]

Pythagorean theorem

And some equation solvings

On call

<@&286206848099549185>

[lone heart]

Please only use the <@&286206848099549185> ping once if your question has not been answered for 15 minutes. Please do not ping or DM individual users about your question.

[frank briar]

Post your problem

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[real breach]

Name: Caspian
University Psychology Graduate
What I seek for: Providing Homework and Class help
Likes/Interests/Hobbies: Music, Video games, Movies, Languages
Dislikes: Not that much to put here

[fallen verge]

This is not an introduction channel lol

Do you meed help with a math problem?

We can help you

[lone heart]

@real breach Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[severe olive]

i put in sin(38 into calc and i get math error

cuz i think 1.5*sin(38) is right but ye

[short gust]

Divide both sides by Sin(38)?

[severe olive]

ye but

calc say math error

WTF WHY IT WORK NOW

still not right ffs

[hoary wasp]

are you in degree mode on your calculator

[hoary wasp]

your probably in radians

@severe olive

[severe olive]

ye

plus question changed ffs

[short gust]

The same way in the last question

[severe olive]

gotcha, tysm

.close

[lone heart]

Channel closed

Closed by @severe olive

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[tribal narwhal]

is it ok in a limit calculus (for exemple lim[h-->0]) to compute somewhere "h = 0" and somewhere else not ?

[tribal narwhal]

like, for exemple, do we all agree that what my friend did is completely wrong ? (i'm talking about the moment where he computes h =0 on some parts of the top, but not at the bottom)

[lone heart]

@tribal narwhal Has your question been resolved?

[lone heart]

@tribal narwhal Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

I need some help

[lone heart]

@alpine sable Has your question been resolved?

[fickle sandal]

go on then

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fickle sandal]

[fickle sandal]

.close

[lone heart]

Channel closed

Closed by @fickle sandal

Use .reopen if this was a mistake.

[alpine sable]

I need help with an accounting problem. I’ll send you the problem

.reopen

[lone heart]

To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[pastel drift]

unban benedictseo

[uncut torrent]

https://media.discordapp.net/attachments/859550877739647019/1000303430067310674/possum.gif

[lone heart]

@pastel drift Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[half smelt]

If someone could explain to me what’s going on, I would appreciate it. If it’s too much to write I understand

I’ll find a video instead if that would be better

[violet urchin]

do you know how to convert recursive formulas to explicit formulas

[half smelt]

I don’t think so

[violet urchin]

alright

so

wait this is khan academy right

[half smelt]

Yes

[violet urchin]

is this not in the lesson or did you not understand when they taught it

[half smelt]

I didn’t understand when they taught it, but that’s probably my fault honestly. Ill likely go rewatch

[violet urchin]

well they showed the step by step solution after the problem, is there something in particular that's confusing about it?

[half smelt]

Yeah I think the (n-1) part is confusing me

[violet urchin]

d(n-1) means the (n-1)th term of the sequence, or the term right before the nth term
so if we know that the 1st term is 13, then according to the formula, we can add 17 to get the next term in the sequence

[half smelt]

That’s making sense

[violet urchin]

that's basically all you do, you just add 17 to the first term to get the second, add 17 to the second to get the third, and so on

[half smelt]

Thanks man

[violet urchin]

np

[half smelt]

Problem solved

[violet urchin]

make sure to close the channel with .close

[half smelt]

.close

[lone heart]

Channel closed

Closed by @half smelt

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[wide onyx]

,rotate 270

[wide onyx]

how do i do b

how do i figure

letters out

how di figute the vertical and horizontal stretchs or comrpessions

[lone heart]

@wide onyx Has your question been resolved?

Channel closed

Closed by @wide onyx

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[polar breach]

Hello

[polar breach]

What do I do for d and e

[flat sundial]

so d and e are dealing with the function as x goes to infinity and negative infinity

so with these you are putting in an x value and getting out a y value

for a, b, and c the limits had y go off to infinity or negative infinity

do you see why d and e would be different?

[lone heart]

@polar breach Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[last ether]

You can try using L'Hopitals

If a limit of f(x)/g(x) goes to 0/0 or inf/inf, then you can take the limit of f'(x)/g'(x)

derivative

You can also try rewriting cot^2(x) as a fraction

Then go from there

Yeah

Yeah

1 = cos^2 + sin^2

With some manipulation from that and substitution, you get the other identity

cos(2x) = cos^2(x) - sin^2(x)
= 1 - sin^2(x) - sin^2(x)
= 1 - 2sin^2(x)

the fact that cos^2(x) + sin^2(x) = 1

I replaced cos^2(x) with 1 - sin^2(x)

Yeah

Yeah

Combine like terms

Try both

[lone heart]

Channel closed

Closed by @opal locust

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hearty ferry]

we want to find req of this situation, is anyone getting 5.163 for this?

[hearty ferry]

and whats the steps pls

[lone heart]

Show your work, and if possible, explain where you are stuck.

[hearty ferry]

im not sure how to find the solution

of the equavalant thing

resistantr

[lunar ravine]

It's more of physics than maths

[wary stream]

How did you get your value of 5.163

[hearty ferry]

i simplified the stuff

[wary stream]

That still doesn't explain how you got 5.163

Show your full work

[hearty ferry]

oops i did it on my calculator

i thin i got

12.060 now

[lone heart]

Show your work, and if possible, explain where you are stuck.

@hearty ferry Has your question been resolved?

[lone heart]

Show your work, and if possible, explain where you are stuck.

@hearty ferry Has your question been resolved?

Channel closed

Closed by @hearty ferry

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[rich basin]

Answer for (c) but i don't get it

[lone heart]

@rich basin Has your question been resolved?

[rich basin]

<@&286206848099549185>

[nocturne lily]

if you look at a graph of e^1/x on the left side of (0,0) the function is approaching 0 but on the right the function goes to infinity

[rich basin]

I get it thank you.

.close

[lone heart]

Channel closed

Closed by @rich basin

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[surreal nest]

how do you get

exp(2iz) - 10exp(iz) + 1 = 0

[lone heart]

@surreal nest Has your question been resolved?

[surreal nest]

.close

[lone heart]

Channel closed

Closed by @surreal nest

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[strange heron]

Having a little trouble with this one

i think A is correct

and C is false

I think D is true as well

but I don't know about the rest

[strange heron]

.close

[lone heart]

Channel closed

Closed by @strange heron

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

For 1, is it telling me to find the displacement between A+B?

[tacit arch]

No? It says to find the magnitude of B

A+B is a single vector

[lone heart]

@alpine sable Has your question been resolved?

[heady cloud]

2x +  = 20

[alpine sable]

How would I do this?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[undone agate]

Im not sure how to continue here

I think i drew it wrong too because basketball has 25 players

And 8 + 6 + 15 = 29 > 25

[lone heart]

@undone agate Has your question been resolved?

[undone agate]

<@&286206848099549185>

[left isle]

so you have 6 that play all 3, and 15 that play both basketball and football

which means that 15-6 of them should go in the the Football and Basketball section

repeat the process with track and basketball, and track and football

then you take basketball, which has 6+x+y already in it and subtract this from the total that play basketball, 25, to get the number that goes in the only basketball section

[undone agate]

I think I got most of it

But I am a bit confused because there are 70 students. Only 25 in football, 25 in basketball, 15 in track (total of 65)

And we need to find how many are not in any sport

It cant be just 5..?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[undone agate]

.reopen

[lone heart]

✅

[left isle]

well yeah it would be 5 then

if you have the total number of students and the total number that play sports, then the number that don't play sports would be 5

[undone agate]

wow okay yeah

i thought it was 5 at the beginning

but then we were going over venn diagrams

so i thought we needed to draw it and pull information out

lol

thank you

it was helpful with the concepts getting the venn diagram set up though

[left isle]

yeah it took me a hot minute to learn how to do it. glad u didn't need it tho lol

[lone heart]

@undone agate Has your question been resolved?

[undone agate]

.close

[lone heart]

Channel closed

Closed by @undone agate

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[undone pine]

can someone explain c) please and thank you

[fickle sandal]

interpolated: estimated within data range

extrapolated: outside of data range

[undone pine]

well N = 28.61 so would that mean it’s extrapolated data?

[fickle sandal]

there's no restriction on N though?

you've estimated with d=15 right

and the question says it used measurements from d=5-17

[undone pine]

i don’t understand

[tender crane]

isn't d=-13 according to d=5-17 or am I wrong

[undone pine]

I think it means ranging from 5-17 cm

[lone heart]

@undone pine Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fickle sandal]

vieta's?

then try to elaborate on what you mean

[wary stream]

That is Vieta's

Alpha and beta are the roots of the equation

[fickle sandal]

it'd be -b/a btw

for a quadratic?

-3b/a

[lone heart]

@lunar lintel Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[real tulip]

how do i know where they will be the same?

[real tulip]

do i just exapand it fully?

pls help

pls

heeeeeeeeelp

[tawny niche]

Use binomial theorem

[real tulip]

i know that much but how

[tawny niche]

Assume that the power of the first term in the expression is a , the other one will be 6-a

For the term having equal powers of x and y

Equate the power and find a

Then use a to find its coefficient

[real tulip]

sorry i dont get it

the power of the first term will be 12 no?

[tawny niche]

Here by first term I mean power of x²y

[real tulip]

x^12 y^6

no?

[tawny niche]

We are directly assuming the term for which both powers of x and y are equal

[real tulip]

oh ok

[tawny niche]

Man it's hard to explain this online

Will have to write much

Wait ,someone else will help u I gotta go

[real tulip]

<@&286206848099549185>

idk bro

[tawny niche]

Do you know the expression for a general term in a binomial expansion?

[real tulip]

ya

[tawny niche]

What's that?

Tell

[tawny niche]

Yeah this

[real tulip]

mine or his

[tawny niche]

ur

Now suppose the term having equal powers of x and y as , ⁶Cr (x²y)^r(-2y²)^(6-r)

Now equate the power of x and y

Here as the powers are equal

And calc r

Put r in the expression to find whole term eventually

[real tulip]

i reached till here:

so r=6?

[tawny niche]

No

Calc mistake

Check again

[real tulip]

i went from x^(2r)y^r(-2^(6-r))y^(12-r)

to the one on top

[tawny niche]

12-2r

The power of y

[real tulip]

oh ya

so r=4?

[tawny niche]

Yeah

[real tulip]

ok

[tawny niche]

Now put the value of r and get the term

[real tulip]

ok

[tawny niche]

Using the general term expression will save u time

It will take hell lotta time if u go and expand the whole expression

[real tulip]

ya

i didnt wanna do that

so i asked if there was a better method

thanks bro

[tawny niche]

Using this concept you can find the term of any given power

[real tulip]

final answer=60x^8y^8

[tawny niche]

Yeah

[real tulip]

thanks

.close

[lone heart]

Channel closed

Closed by @real tulip

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[alpine sable]

been on this for ages + i still dont understand

[split mantle]

So with a, when y is less than x.

That means when we comes to a value of x, we get a y value that is corresponding to x value, and vice versa.

Out of that, you're going to determine which of diagrams shaded area gives sense.

[alpine sable]

i still dont get it, sorry 😭

[split mantle]

It's alright, I'm also not satisfied with my explanation.

If we got a graph of y = x, x and y value will be the same.

If you look at the diagrams, the shaded areas are y values.

[median oar]

The shaded regions of the graph, have points (x,y) such that x and y satisfy a relation, namely the y < x relation

So if you were to look at the (correct) shading, and pick any point that is shaded, it satisfies y < x

This idea is the same when you have a line, the line on a graph are all the points that satisfies some condition (usually denoted as an equation)

[alpine sable]

i still dont undersatdsn

[median oar]

If I say y = x

And “drew a graph”

[alpine sable]

ik what y=x

[median oar]

Where do I know to put the line

[alpine sable]

thru the origin

[median oar]

Well I can look at all the points on the plane, let’s pick (3, 4)

Is 3 = 4?

No, I don’t colour this point

Let’s pick another point (0, 5)

Is 0 = 5?

No, I don’t colour this point

Let’s pick another point (-1, -1)

Is -1 = -1?

Yes, let’s colour in this point

Let’s pick another point (4, 4)

Is 4 = 4?

Yes, let’s colour in this point

If you do this to every point on the plane

You will get at the end

,w graph y = x

[ocean seal]

Results provided by WolframAlpha

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

Requested by frosst

[median oar]

These are all the points you “coloured in”

All other points do not have y = x