help-27

[gloomy fox]

Which of the given sequences converge? If necessary, determine the limit value. Justify your answers.

[pseudo basin]

give us the sequences!

[gloomy fox]

sry

[pseudo basin]

all of them.

[gloomy fox]

2^n confuses me

[pseudo basin]

presumably there are many.

[gloomy fox]

why all?

[pseudo basin]

Which of the given sequences converge?

this implies there are at least two sequences

[gloomy fox]

yeah but i need only on that one help

for now

[pseudo basin]

right. could have said that.

[gloomy fox]

im on a

[pseudo basin]

ok

[gloomy fox]

2^n confuses me

[pseudo basin]

if you were looking at the sequence 1/2^n, would you be able to say whether it converges or not?

[gloomy fox]

i think so yes

for example its 1/2^5 than it would be small number

but it should still converges

[pseudo basin]

yes, the sequence 1/2^n converges. can you say what its limit is?

[gloomy fox]

not really

[pseudo basin]

shame!

[gloomy fox]

against infinite

[pseudo basin]

do you also understand that the sequence 2^n is an increasing sequence, and in fact it grows faster than any polynomial sequence?

its growth is by definition exponential.

[gloomy fox]

ah than its converges against 0

[gloomy fox]

can you stop with those comments not really helpfull

[pseudo basin]

converges to 0.

[gloomy fox]

im not english sry

ibne

[pseudo basin]

i was correcting you without any sort of judgment.

[gloomy fox]

i think shame! means something like you dumb?

do you believe in god?

[pseudo basin]

this is the sense in which i exclaimed "shame"

and no, i am not religious.

[gloomy fox]

biggest npc answer

[pseudo basin]

????

[gloomy fox]

shame!

look its just annoying

just uncomfortible

[pseudo basin]

so is "biggest npc answer"

[gloomy fox]

just wanted to show you

[pseudo basin]

i did see you asking to refrain from these comments.

[gloomy fox]

maybe you understand now

[pseudo basin]

i don't know what you want from me anymore, since we've now derailed the conversation from its original topic.

[gloomy fox]

yeah thank you and bye

oc

.close

[devout snow]

Channel closed

Closed by @gloomy fox

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.

[stone axle]

i come to the conclusion that a.(b x c) = 0

not sure what it means though

[jovial mauve]

What do you know when a.b=0 for any two vectors a and b?

@stone axle

[stone axle]

they are parallel

[real grail]

nope, the angle between them is 90°

[stone axle]

oh shit yes

my bad

[real grail]

since a * b = |a| * |b| * cos(a,b)

and because a and b aren't 0

so cos(a,b) = 0
so the angle between a and b must be 90°
so a and b are orthogonal

[jovial mauve]

No, they are perpendicular.

[devout snow]

@stone axle Has your question been resolved?

[devout snow]

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.

[fervent echo]

Whats the antiderivative of x^-3?

[pseudo basin]

what is the antiderivative of x^p?

[fervent echo]

I thought it was -2/x^2

[pseudo basin]

almost but not quite. you got the constant wrong.

[spare zealot]

,rccw

[fervent echo]

It's the calculation in the middle

I can't figure out what I did wrong

[spare zealot]

The -2 exponent only applies to the x, not the 1/-2

[fervent echo]

So this isn't right

Isn't the antiderivative of x^p = x^p+1 / p+1

So x^-3 should be x^-2 / -2

Which is (1/x^2) / -2

Which is -2 / x^2

The answer should be 1/2x^2

But I don’t understand why...

[devout snow]

@fervent echo Has your question been resolved?

[devout snow]

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.

[restive river]

hi ik this is really dumb to ask bt i overthink questions lots so
5. Calculate:

(a) cos120˚, cos135˚, cos150˚;

does ths mean i just calculate the value of each

[restive river]

yep

oki thank u

what ab this tho

1. Calculate the cosine of the angle of rotation α when α equals:

   (a) 120˚; (d) -240˚;

the questions confuse me sm

LOL

okay

thankyouuu

[hot terrace]

lol

@restive river

@real grail @pseudo basin

[pseudo basin]

???

[hot terrace]

nothing

i just wanted to see ur prfile

@devout snow ┬─┬ ノ( ゜-゜ノ)

[devout snow]

@restive river Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[restive river]

Hi is 2^2.5=4?

[restive river]

2 x 2 x 1 = 4

[sonic smelt]

2^2.5 is not the same as 2 * 2 * 1

[lone ravine]

No

[merry seal]

2^2.5 = 2^{2 + 1/2} = 4 * 2^{1/2} = 4 * sqrt(2)

[restive river]

explain in english

otherwise go to #other-languages

[thin gust]

😭

[merry seal]

I think it's time to reset humanity

👍🏿 the time has come

---

Anyways

[restive river]

wait

[merry seal]

2^x = 2 * 2 * ... * 2 (x times)

this is only for natural numbers

[restive river]

how does 2^(1/2)=sqrt(2)

[merry seal]

negative numbers are defined as a^-1 = 1 / a

[merry seal]

just the definition

[real grail]

$2^{2.5} = 2^{2 + \frac{1}{2}} = 4 * 2^{\frac{1}{2}} = 4 * \sqrt{2}$

[restive river]

this is english

[merry seal]

I mean, (a^b)^c = a^(bc) so having fractional exponents represent roots makes sense

[woven radish]

Mehdi_Moulati

[sonic smelt]

Hopefully you're aware of what English means

[sonic smelt]

\cdot looks nicer btw

[restive river]

ok

how do I solve 2^1/2

rewrite it for me

[merry seal]

you don't solve it

[restive river]

ok

[sonic smelt]

That's an expression, nothing to solve

[lone ravine]

Solve? For what

[restive river]

yes

thx

.close

[devout snow]

Channel closed

Closed by @steel flare

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.

Please don't occupy multiple help 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.

[vestal loom]

How do I write this as a define integral what I don t know is what do do because of that +1, I know if it wasn't there it would be just

[vestal loom]

$\int_{0}^{1}\frac{1}{q+xp}$

[woven radish]

『Marius』

[vestal loom]

but how do I think about that k+1/n

[devout snow]

@vestal loom Has your question been resolved?

Channel closed

Closed by @vestal loom

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.

[shrewd wing]

how can i approach this? my job is to find the first 6 terms of a sequence

[shrewd wing]

ok wait nvm

.close

[devout snow]

Channel closed

Closed by @shrewd wing

Use .reopen if this was a mistake.

[devout snow]

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.

[ionic elm]

I dont know how to answer this question.

[gleaming socket]

Which one

[ionic elm]

anything, I dont understand

[gleaming socket]

Do you know what is a coordinate?

[ionic elm]

yes

[gleaming socket]

What does (0, A) mean?

[ionic elm]

(x, y)

[gleaming socket]

Yes

So plug them in the equation of the line.

[ionic elm]

please help me here

[gleaming socket]

3(0) - 4A = 12

Now find A

[ionic elm]

is it 3?

[gleaming socket]

No

Show your steps.

[ionic elm]

well, E crosses the Y axis at 3y

[gleaming socket]

I asked you to solve the equation to find A.

[ionic elm]

so, 3(0) = 0

0 - 4a = 12

therefore a = -3

[gleaming socket]

Yes

Do the same to find B

[ionic elm]

3(b) - 4(0) = 12

3(b) = 12

b =4

[gleaming socket]

Yes

[ionic elm]

now part B

first off, it has a negative gradient right? so its C or F?

[gleaming socket]

We know the line passes through two points, (0, -3) and (0, 4).

See which one it is.

How did you get the gradient?

[ionic elm]

3x - 4y = 12

[gleaming socket]

That is not the gradient.

[ionic elm]

wait, thats not y = mx+c

[gleaming socket]

I'll explain the gradient later but first find the line

[gleaming socket]

It should be (4,0), my bad.

[ionic elm]

DONE IT!

thankyou very much for your help 🙏

[gleaming socket]

For gradient make y the subject:
3x - 4y = 12
=> - 4y = 12 - 3x
=> y = 3x/4 - 3

3/4 is the gradient here

[devout snow]

@ionic elm Has your question been resolved?

Channel closed

Closed by @ionic elm

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.

[dull pelican]

multiplication = .
division = :

[gleaming socket]

There is a mistake in third line

[dull pelican]

whats wrong abt it

[gleaming socket]

You opened the bracket without adding first.

[dull pelican]

this is some of it to

[spare zealot]

Also -4/5 is not -20

[dull pelican]

hm

this is all review and i dont remeber this stuff so thats why im confused

[dull pelican]

so pretty much this is the answer?

[gleaming socket]

And what lexitorius said.

[dull pelican]

al

alr

thats all?

[spare zealot]

Well there’s no way to tell if what comes after that is right because it’s based on incorrect information

[dull pelican]

hm

[spare zealot]

Sign for 20 in line 4 is wrong but -20 is wrong in the first place

[dull pelican]

hold up in what line

[gleaming socket]

Third line.

[dull pelican]

.close

[devout snow]

Channel closed

Closed by @dull pelican

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.

[restive river]

If Hannah runs 2/3 of a mile in 2/6 of an hour, what is her speed in miles per hour?

[devout snow]

Please don't occupy multiple help channels.

[supple knot]

you have a channel. stop opening new ones

.close

[devout snow]

Channel closed

Closed by @supple knot

Use .reopen if this was a mistake.

[restive river]

just help me pls

[devout snow]

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 roost]

hello

[regal roost]

how do i find
|CB|

if i know

that |NC| is 5 cm's

and the hight

is 2 cms

i dont understand

holddd uppp

do i need too do

b : h . 2

so nc : the hight . 2

[fossil chasm]

Could you translate the question into english?

[regal roost]

okay will do

The circumference of a parallelogram is 16 cm.

The base is 5 cm and the height is 2 cm.

there u go

and they ask this

IABI =

IBCI =

Area =

[fossil chasm]

is it circumference or perimeter?

[regal roost]

i dont know what that means

when i translate it also says 2 of the same things

xd

so u have 2 . 2 for like m^2 shit

well its ab the all the sides plus eachother

they gave me that

thats 16cm

[fossil chasm]

yeah

[regal roost]

i just did

16:5 . 2

6,4

thats my answer

that would mean the line that goes up so the hight would be 6,4 cm's

but idk if thats correct

that one

this

there

if that makes more sense

[fossil chasm]

if this is what the question is asking, then you would need more information

there are an infinite number of possibilities for the height

[regal roost]

damnit..

they are asking me the

Area

how do i get this then

[fossil chasm]

when it says "the height is 2cm", the height of a parallelogram usually denotes the perpendicular height (so the line you have labeled ?)

[regal roost]

without the hight

oh

okay

ill do that then

omg

im so stupid they prob did mean that

hold on ill try and solve it

i might come back xd

[fossil chasm]

yeah

[regal roost]

b . 2 -O

would that be correct

i mean

hold on

O- b . 2

o would be 16

so 16 - 5 . 2

that would be 6

meaning the side with the question mark would be 6

but that wouldnt make no sence cuz that would mean 5 + 5 + 6 + 6 = 22

and not 16

[fossil chasm]

you have to divide by 2

[regal roost]

why ?

i dont understand

[fossil chasm]

O = 2 * AB + 2 * BC

16 = 2 * 5 + 2 * BC

2 * BC = 6

BC = 3

[regal roost]

shit

[fossil chasm]

it's because the perimeter has 2 of each side

[regal roost]

what does the star mean

[fossil chasm]

multiply

[regal roost]

is that .

okay

[fossil chasm]

yeah

[regal roost]

omg

yess

i understandd

thanks!

@fossil chasm is it true that A= b . h then

[fossil chasm]

yeah

[regal roost]

because if i do A= b.h

it becomes 10cm^2

which isnt that too small?

[fossil chasm]

why would it be too small?

[regal roost]

idk it just feels different from other tasks i feel like its wrong but if u say its correct then perfect

thank u

[fossil chasm]

if you think about a 2 by 5 rectangle, its area is 10

[devout snow]

@regal roost Has your question been resolved?

Channel closed

Closed by @regal roost

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.

[old jungle]

Where to start?

[devout snow]

@old jungle Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

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.

[fossil moth]

could i get some help in understading how to find antiderivatives?

[fossil moth]

for example a question like this

is it all just mental math? or is there a method to finding antiderivatives

[jaunty mantle]

This one is not too challenging

Do you know how to integrate xⁿ ?

[fossil moth]

i dont think so, i just got introduced to the topic but im finding it difficult because im just trying to reverse engineer in my head

[jaunty mantle]

I see, you do know how to differentiate right?

[fossil moth]

yes

[jaunty mantle]

What’s the derivative of $x^{n+1}$

[woven radish]

Frosst

[fossil moth]

(n+1)(x)^n

[jaunty mantle]

Fantastic

What’s the integral of (n+1)(x)ⁿ

[fossil moth]

x^(n+1)

[jaunty mantle]

Lovely

What is the integral of (n+1)/(n+1) * xⁿ

[fossil moth]

i dont know, like im not sure how to do that in my head

[jaunty mantle]

Let me write it out

It’ll make a lot more sense

4. is where we multiply by 1/(n +1)

Do you see why we need to have the result divided by n+1

[fossil moth]

dead ass, im staring so hard at this trying to understand. its looks amazing and step by step but i just dont understand

like the deriv of x^n is clear

[jaunty mantle]

Ok there’s a method in maths where we create something out of nothing

[fossil moth]

and same with step two

[jaunty mantle]

Do you understand step 3

It’s just the reverse of step 2

[fossil moth]

yes

[jaunty mantle]

Ok

We want to get that form to integrate

Because we get a nice x^(n+1)

Yeah?

[fossil moth]

yea

[jaunty mantle]

Ok

,rotate

[jaunty mantle]

Do you understand this

[fossil moth]

in the middle, is it saying 1x* x^n or 1 times x^n

[jaunty mantle]

1 times xⁿ

[fossil moth]

so the integrals of all these are the same?

[jaunty mantle]

Yep

All the exact same

The only difference is now I can do this

,rotate

[jaunty mantle]

Do you follow this?

[fossil moth]

i follow a bit yea

[jaunty mantle]

Just a bit?

We separate the fraction and move the bottom out of the integral

[fossil moth]

like i understand the factoring

[jaunty mantle]

We can move it out because it is not a function of x

$\int ax dx = a\int xdx$

[woven radish]

Frosst

[fossil moth]

ok but how we do go about finding the integral

[jaunty mantle]

Well do you recognise what’s inside the integral now

[fossil moth]

yes

[jaunty mantle]

That part is just x^(n+1)

[fossil moth]

so is that just mental math, or is there a method/equation

that pic makes much sense, i understand it but for more complex questions, how would i go about finding the integral. is it just crazy amounts of practice and memory

[jaunty mantle]

That’s the rule

[fossil moth]

well going from f(x) to f'(x) is easy but im struggling with going from f'(x) to f(x)

[jaunty mantle]

For your question this is how you first break it down

Now you are in the xⁿ situation

[fossil moth]

yea

[jaunty mantle]

Differentiating you multiply by the power and minus 1 from it

Integrating you add 1 to the power then divide it

[fossil moth]

so (x^3/2)/(3/2)?

[jaunty mantle]

There’s a bracket

[jaunty mantle]

So yes

[fossil moth]

alright I think i understand it much better now

thanks alot for being patient and informative

[jaunty mantle]

Try do your question see if you can get the answer

And no worries :)

[fossil moth]

(8/3)x^3/2+(4/5)x^5/4

which is the same as the textbook answer

[jaunty mantle]

+C!!

Indefinite integrals!

Remember the constant

[fossil moth]

yes!

[jaunty mantle]

And good job 👍

[fossil moth]

.close

[devout snow]

Channel closed

Closed by @fossil moth

Use .reopen if this was a mistake.

[devout snow]

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.

[fading frigate]

I'm trying to find distance traveled with a definite integral using u-substitution but my answer is wrong.

My professor changes the upper limit to 1/4 somehow and wolfram alpha changes it multiple times. I'm specifically wondering how to get that upper limit to 1/4 like my professor has it.

[fading frigate]

I got u = (2pi t) but the limits stay the same

And integrating with those limits gets me an end answer of 0 which is wrong since the answer is 4

[torn vessel]

the bounds would definitely changes with that substitution

[fading frigate]

Yeah I saw that in wolfram what and how does changing bounds work exactly?

[torn vessel]

when t = 0, then u = 2pi(0) = 0
when t = 1, then u = 2pi(1) = 2pi

so your new bounds are 0 and 2pi

[fading frigate]

thanks

.close

[devout snow]

Channel closed

Closed by @fading frigate

Use .reopen if this was a mistake.

[fading frigate]

.reopen

[devout snow]

✅

[fading frigate]

oops I already did that those bounds still get me a final answer of 0

In wolfram the upper bound changes to 1/2 somehow after factoring out the 2pi

.close

[devout snow]

Channel closed

Closed by @fading frigate

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.

[balmy aspen]

I’m stuck on how to substitute ln (x) into the equation

[brave lily]

what did you try/do?

[balmy aspen]

Chain rule?

[brave lily]

i mean for substituting ln(x)

[balmy aspen]

I was thinking of substituting ln(x) with the Xs to get ln(x)^2 +2ln(x)

[brave lily]

that is correct

and your intuition with the chain rule is also correct

[balmy aspen]

So chain rule for the Ln(x)^2?

[brave lily]

yep

[balmy aspen]

So 2ln(x) x 1/x?

[brave lily]

not quite

[final drift]

um i believe thats the correct derivative for ln^2(x)

[final drift]

you know the penultimate x stands for "times" right

[brave lily]

i misread that

[balmy aspen]

Sry

[brave lily]

nah its right then

[balmy aspen]

So the equation is 2ln(x) x 1/x + 2ln(x)

[brave lily]

well you gotta take the derivative of 2ln(x) too

[balmy aspen]

I thought we already took the derivative?

Oh wait nvm

[brave lily]

well you took the derivative of ln(x)^2

[balmy aspen]

Would it be 2/x?

[brave lily]

yes

[balmy aspen]

Would the equation be 2ln(x) x 1/x + 2/x?

[brave lily]

also yes

[balmy aspen]

How would we simplify?

[brave lily]

just add them

[balmy aspen]

I don’t see 2ln(x) + 3/x?

[brave lily]

oh no no

that doesnt work

what you have is $2\ln(x) \cdot \frac{1}{x} + \frac{2}{x}$

[woven radish]

Shell

[brave lily]

you cant just add 1/x and 2/x

[balmy aspen]

I thought since they have a common denominator they can be added?

[brave lily]

well yes

but the numerator of that isn't 1

1/x is multiplied by something

[balmy aspen]

So are we multiplying?

[brave lily]

if we have $2\ln(x) \cdot \frac{1}{x} + \frac{2}{x}$ then its the same as $\frac{2\ln(x)}{x} + \frac{2}{x}$

[woven radish]

Shell

[balmy aspen]

I’m still a little confuse

[brave lily]

whats $2\ln(x) \cdot \frac{1}{x}$ in fraction form

[woven radish]

Shell

[balmy aspen]

Would it be 2/x?

[brave lily]

nop

write down 2ln(x) in fraction form first

then multiply the numerators and denominators

[balmy aspen]

By fraction form do you mean it’s reciprocal?

[brave lily]

no

i mean $2\ln(x) = \frac{2\ln(x)}{1}$. So, $2\ln(x) \cdot \frac{1}{x} = \frac{2\ln(x)}{1} \cdot \frac{1}{x}$

[woven radish]

Shell

[brave lily]

do you know how to compute the right most term?

[balmy aspen]

Yeah it would be 2 ln(x)/ x

I think

[brave lily]

why

[balmy aspen]

Because you’re cross multiplying?

[brave lily]

nah you're complicating things

you just multiply together

like top times top and bottom times bottom

[balmy aspen]

Yeah mb we’re multiplying straight across

[brave lily]

yep

[balmy aspen]

So it wasn’t that we could 2/x + 1/x but we have to follow the order of operations

[brave lily]

yep

the denominators work out, but mult comes first

[balmy aspen]

It was so obvious sigh

[brave lily]

all math problems are easy once you know the solution

you're good

[balmy aspen]

Is it possible we could do one more?

[brave lily]

throw it in here

[brave lily]

chain rule again

what do you think

[balmy aspen]

I’m just confused on whether it’ll be 2 terms or 3?

[brave lily]

hwat

all of the answers are 1 term

[balmy aspen]

I mean for the chain rule formula

[brave lily]

depends on if you apply it to e^{2x} or not

because e^{2x} is technically another chain rule, but if you just automatically see what it is then you don't need to think of it that way

[balmy aspen]

Oh so would it be 1/1+e^4x x 2e^2x?

[brave lily]

mhm

[balmy aspen]

So I guess it’s b

Sry I’m also confused with this question?

[brave lily]

implicit differentiation i think

[balmy aspen]

So we’re finding the derivative of tan(xy)

[brave lily]

mhm

implicitly

[balmy aspen]

Wouldn’t we have to use chain rule first?

[brave lily]

well yes

but you're doing wrt to x right

[balmy aspen]

Wrt?

.close

[devout snow]

Channel closed

Closed by @balmy aspen

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.

[mint sequoia]

Find the values of c that statisfy the MVTD for f(x) = (6/x) -3 on the interval {1,2}

[mint sequoia]

I have no idea what i'm trying to figure out

I want step by step on what I need to caculate

[main gull]

So two questions just so I can understand what you're asking, first, what's MVTD?

And second, where is the c?

[mint sequoia]

MVTD is the mean value theorm dervivative

and C i'm not exactly sure

[devout snow]

@mint sequoia Has your question been resolved?

[mint sequoia]

<@&286206848099549185>

[mint sequoia]

never mind I got it

.close

[devout snow]

Channel closed

Closed by @mint sequoia

Use .reopen if this was a mistake.

[devout snow]

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.

[heavy dome]

help me please

[devout snow]

Please don't occupy multiple help channels.

@heavy dome Has your question been resolved?

[wooden veldt]

close one of your channels

[devout snow]

@heavy dome Has your question been resolved?

[devout snow]

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.

[elfin carbon]

My teacher taught us this today, was present in the class, can I know how to do this???
tan(tan inverse x - tan inverse 2y)

[elfin carbon]

wasn’t*

Hello <@&286206848099549185>

Is my question too easy?

This as well

@sullen geyser help please

[sullen geyser]

i dont know inverse of trignometric functions,sry

[devout snow]

@elfin carbon Has your question been resolved?

[devout snow]

@elfin carbon Has your question been resolved?

[devout snow]

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.

[crystal kelp]

Wait wrong thing

can you @ me when someones here to help cause ill be on a diffrent tab

[dry rover]

@crystal kelp you asking why it's wrong?

[crystal kelp]

i could just tell my answer was super wrong

and i dont understand how to find the mistake

[dry rover]

the graph is wrong

the answer should be (-3, -3)

[crystal kelp]

yes thats what I got

so do I just type the graph was wrong and the real point should be (-3,-3)?

[dry rover]

uhm yeah probably

because we dont know how they got the graph

[crystal kelp]

same thats what make me confused\

[dry rover]

yeah

[crystal kelp]

I also have this one and I think I already have the system written down but I’m not sure

if its correct

[dry rover]

yes

[crystal kelp]

so its correct?

[dry rover]

the second line should be 10x+48 = y

[crystal kelp]

okay I will solve it one sec

is it (12, 168)?

[dry rover]

yes

[crystal kelp]

how would i write that as a answer

[dry rover]

you just write what you said

[crystal kelp]

so each 12 angles is 168?

idk

[dry rover]

each 12 angles?

just write the smaller one is 12deg an the other one is 168

[crystal kelp]

ohhhh

okay thank you

[dry rover]

np

[crystal kelp]

.close

[devout snow]

Channel closed

Closed by @crystal kelp

Use .reopen if this was a mistake.

[devout snow]

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.

[old talon]

could someone explain the first line, how do we get the 1/4(e-1)??

[old talon]

There seems to be some sort of shortcut

[merry seal]

I haven't done this in a while but you basically look at it from the x perspective

you previously had y going from 0 to 1 and picked a function in terms of y

then you take x to be from 0 to 1 and represent the same boundaries for y using x

wait do you mean first line as in the one with 0.49?

[old talon]

I understand this part but not how it gets integrated to 1/4(e-1)

Idk how e^y^4 is even integrated

[merry seal]

notice how it's integrated wrt x

so it really gives you y^3 e^y^4

then you integrate it wrt y using u sub

[devout snow]

@old talon Has your question been resolved?

Channel closed

Closed by @old talon

Use .reopen if this was a mistake.

[old talon]

Thank you!!

This clears things up

[devout snow]

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.

[eager crystal]

simple question. How did sin 2pi/3 become sqrtof3/2

first of all, how can a value for sin be bigger than 90 degrees?

isn't it for right triangles

and 2pi/3 is 120 degrees

which is bigger than 90....

can anyone explain how this makes sense

[real grail]

so sqrt(3)/2 < 1

[eager crystal]

yeah

[light fractal]

the domain of the sine function is all real numbers.

[real grail]

sin(90°) = 1

[eager crystal]

so it can be 360 degrees?

just anything?

[thin gust]

ya

[eager crystal]

how is that a right triangle at that point

also the sum of a triangle is 180

so how can an angle be 360

[thin gust]

draw the sin graph

[eager crystal]

non sense

[thin gust]

normal sinx takes all real values and P range is -1 to 1

[light fractal]

in general, the trigonometric functions are not limited to "possible triangles"

[thin gust]

also u can use sinx= sin(180-x)

and use special angles

[eager crystal]

so can you draw a diagram for those equations?

is it possible?

[thin gust]

you can use desmos

it’s a great graphing software thingy

[eager crystal]

so if we say sin of 120 degrees, one of the angles is 120 right?

so where's our 90 degree angle

180-120 is already 60

im very lost

[thin gust]

wdym right angle?

why do you need 90

[eager crystal]

isn't soh cah toa only for right angles?

at least that's how i've done it so far

all right triangles

so i'm very lost how you can put an angle bigger than 90

[thin gust]

how about non-right angles

in those cases we can’t use soh cah toa

so we use stuff like sine rule

cosine rule

[eager crystal]

ooh

there's such things

?

[thin gust]

ya

have you learnt sine and cosine rule

[eager crystal]

are you talking about soh cah toa?

[thin gust]

nope

$\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}$

is the bot not working

😭

[devout snow]

@eager crystal Has your question been resolved?

[light fractal]

one useful defintiion for sine and cosine is, a point on the unit circle is of the form (cos(theta), sin(theta)) where theta is the angle the point makes with the positive x-axis.

using that definition, we can visualize all angles on the unit circle and we can use special right triangles to get the convenient angles (multiples of 30 or 45)

[devout snow]

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.

[twilit tundra]

my last one accidentally closed but are the x values at which the tangent lines to the graph of f(x) = 4x - 3secx horizontal at points pi/6 and 11pi/6 ?

[slender mirage]

You want the tangent lines to the graph of f(x) = 4x - 3tan x to be horizontal

[twilit tundra]

i see

[slender mirage]

so basically f'(x) = 4 - 3 sec² x = 0

[twilit tundra]

wait sorry i made a mistake in the problem

it is f(x) = 4x - 3tanx

the derivative would be 4 - 3sec^2x right?

[slender mirage]

hmm cos x = ±√3/2

[twilit tundra]

i seeee

[slender mirage]

Ig you'll have x = nπ ± π/6

[twilit tundra]

thank you 🫡

[devout snow]

@twilit tundra Has your question been resolved?

[devout snow]

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.

[wraith moss]

is taking a common factor like this correct?

i feel like im messing up

[stable nymph]

What are you trying to do?

[wraith moss]

take common factor

of secr

in the numerator

[stable nymph]

Can you not just simplify?

What happens if you expand the numerator?

[wraith moss]

it will be longer

so i took common factor

[stable nymph]

Will it be?

Try it

[wraith moss]

it came like this

[wraith moss]

alright but is the common factor that i took correct?

[stable nymph]

Yes, that's what the expansion simplifies to.

[wraith moss]

if i have (1-x)-(1-x). can i take common factor x((1-1)(1-1))?

[wraith moss]

.

[thin gust]

common factor is 1-x

so (1-x)(1-1)

[wraith moss]

see the picture i sent did i do the common factor correctly?

[thin gust]

no

[wraith moss]

oh i see

i should’ve took secrtanr

[thin gust]

yeshh

🙌

but also

for example if you have

secx + secx(1-secx)

you factor out secx

you’ll get

secx(1+(1-secx))

the one inside the bracket doesn’t get affected ya

[wraith moss]

oh cuz its in the function

[thin gust]

sure yesh

👏

[wraith moss]

oh alright thank you

[thin gust]

welccc

[wraith moss]

.close

[devout snow]

Channel closed

Closed by @wraith moss

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.

[harsh jackal]

How exactly do I solve/do the circled problem?

<@&286206848099549185>

<@&286206848099549185>

[hollow ledge]

Let me look. One moment.

[harsh jackal]

Sorry, ok

[hollow ledge]

So, the area is the quadratic equation you've been given. I may be interpreting it wrong, but the way I interpret it, you need to first factorise it. I'll send a photo of how I would factorise it.

[harsh jackal]

Ok

[hollow ledge]

Just need a couple of moments to write it.

[harsh jackal]

Alright

Is there any way we can join a VC in this server?

It would be a lot better

[hollow ledge]

Sorry, I am a slow writer.

[harsh jackal]

It's fine

[hollow ledge]

I may be misinterpreting it, but my guess is that 'two expressions' is them wanting two different ways this can be factorised.

[harsh jackal]

Ok

[hollow ledge]

The way I assume they mean is they want one with the 2 inside of the left bracket, and another with the 2 inside of the right bracket.

[harsh jackal]

^

[hollow ledge]

So (2x+8)(2x-7), and (x+4)(4x-14)

Also, sorry, but I am unable to do voice chat, I am afraid.

[harsh jackal]

Ok

[hollow ledge]

This is my best guess, at least.

[harsh jackal]

How do I do #2 and #3 on here?

[hollow ledge]

There may be someone else who is able to do it, but I am unable, sadly.

[harsh jackal]

Ok

<@&286206848099549185>

[devout snow]

@harsh jackal Has your question been resolved?

[mystic pendant]

Find a local maximum

Find h’(t) = 0 then plug the critical points into the h(t) and see which is largest

[rare mantle]

I don't think he's in calculus yet lol

he made another channel and got it now btw

[harsh jackal]

Yup, I'm not in calculus

[devout snow]

@harsh jackal Has your question been resolved?

[devout snow]

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.

[rancid adder]

need help getting started with this question

[main gull]

,rotate

[rancid adder]

Im not sure how to know what related or co related angle property to use

[devout snow]

@rancid adder Has your question been resolved?

[rancid adder]

<@&286206848099549185>

[rancid adder]

.close

[devout snow]

Channel closed

Closed by @rancid adder

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.

[pulsar geode]

Help

[pulsar geode]

What id maple ?

Is maple

[main gull]

What's the context?

[main gull]

Some software your teacher what's you to use

[pulsar geode]

Idk what the hell is that

And I’m afraid to ask since school is ending

[main gull]

Ask your teacher

[pulsar geode]

So u don’t know?

[main gull]

No

[devout snow]

@pulsar geode Has your question been resolved?

[devout snow]

@pulsar geode Has your question been resolved?

[devout snow]

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.

[hidden flare]

Algebra II

[devout snow]

@hidden flare Has your question been resolved?

[devout snow]

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.

[haughty sandal]

anybody's familiar with variational inference? im confused on how " Completing squares on the second term of Eq 23 and re-arranging " to obtain such latest equation,

[devout snow]

@haughty sandal Has your question been resolved?

[devout snow]

@haughty sandal Has your question been resolved?

[devout snow]

@haughty sandal Has your question been resolved?

[devout snow]

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.

[dry hull]

The red square is the ground plane of the pyramid created after the truncations.
6p/7p 2 Calculate the height of the red square with respect to the base of the original pyramid. In your answer, round off to one decimal place.
However, an exact answer gives an extra 1p.
5p 3 Calculate the volume of the small pyramid. In your answer, round to one decimal place.

[dry hull]

the area of the red space is 36

[devout snow]

@dry hull Has your question been resolved?

[devout snow]

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.

[devout snow]

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.

[worn flax]

How did it go from the step with two summations to the step with one summation

[restive river]

factor

try writing it out for n=3

[devout snow]

@worn flax Has your question been resolved?

Channel closed

Closed by @worn flax

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.

[cyan kraken]

have problems with b mostly, i know how to do the Gram-Schmidt but everytime I did I had explicit vectors given to me, here I probably also have them I just dont know how to find them out with the information theyre giving me. can someone please help

[cyan kraken]

Linear algebra btw

[wooden veldt]

You have a basis 1,x,x², and you have an inner product <P,Q>

That's all you need to do gram schmidt

[cyan kraken]

but how exactly to start

[wooden veldt]

Look at what the algorithm says

And follow it

[devout snow]

@cyan kraken Has your question been resolved?

[haughty sandal]

.reopen

[devout snow]

@cyan kraken Has your question been resolved?

Channel closed

Closed by @cyan kraken

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.

[restive river]

I am curious, but will this equation be ever true for $x \in N$

[woven radish]

♡LexQa♡

[restive river]

$\frac{(x-1)(x-2)(x-3)\dots(x-n)}{(x-1)(x-2)(x-3)\dots(x-n)}=1$

[woven radish]

♡LexQa♡

[clear phoenix]

it will be true for $n<x$ and false for $x\leq n$

[woven radish]

EytanSama

[restive river]

well, assuming $n \to \infty$ i suppose

[woven radish]

♡LexQa♡

[restive river]

kind of showcased that poorly haha

[clear phoenix]

then, i think it is false for all $x$ (assuming 0 is not in N)

[woven radish]

EytanSama

[restive river]

i agree with you, but my friend tells me that *it is * defined, which is confusing

but it might be some shimmy-shammy so i wanted some second-opinion

[clear phoenix]

for every natural number u'll have division by zero so there is really nothing to do with it (unless there is a specific context in which it might make sense to simplify and get 1 for all x)

[devout snow]

@restive river Has your question been resolved?

Channel closed

Closed by @reef sable

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.

[wanton pumice]

i need help w partial fraction decomp

i found C E F

but how do i proceed with finding A B D

[wanton pumice]

F should be -1/2 my bad

since its only 3 unknowns, do i just expand and make systems of equations?

[devout snow]

@wanton pumice Has your question been resolved?

[wanton pumice]

nvm i got it

.close

[devout snow]

Channel closed

Closed by @wanton pumice

Use .reopen if this was a mistake.

[devout snow]

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.

[junior flax]

Is cube root of y times x the same as cube root of y times cube root of x.

[thin gust]

uhh

is it under the same root

for the first one

[winter patrol]

grammar is vague

[junior flax]

Cube root of yx = cube root of y times cube root of x

[winter patrol]

are you asking if
$$\cbrt{xy} \tbp \cbrt{y} \cdot \cbrt{x}$$

[woven radish]

ℝamonov

[junior flax]

Yes

[ember palm]

Ye it is

[junior flax]

Thanks

.close

[devout snow]

Channel closed

Closed by @junior flax

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.

[random pendant]

What am i supposed to do in number 18

[random pendant]

To prove it is inclind at 45

[devout snow]

@random pendant Has your question been resolved?

[devout snow]

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.

[fringe olive]

A marine biologist was interested in seeing the relationship between a manatee's weight and height. She gathered data and wanted to construct a graph to display the data in order to observe this relationship.

Is a scatter plot or a line graph more appropriate to construct for the data, given the context of the problem? Explain.

A scatter plot, because it would show the association or relationship between two variables
A scatter plot, because it would show how a variable changes over time between each data point given
A line graph, because it would show the association or relationship between two variables
A line graph, because it would show how a variable changes over time between each data point given

[devout snow]

@fringe olive Has your question been resolved?

[devout snow]

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.

[wispy flume]

wassup

[wispy flume]

anyone know order of operations

[rotund heron]

it would vary acc to what conventions are used where you live

[wispy flume]

i see

[rotund heron]

PEMDAS, BODMAS, BEDMAS would be some common ones

[wispy flume]

i see

thx

.close

[devout snow]

Channel closed

Closed by @wispy flume

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.

[zenith arrow]

hello guy

[zenith arrow]

so i had this exercise for homework

there is a row of 20 seats and there are only 6 people

how many combinations can we have

after some thinking

i just did 20x19x18x17x16x15

and got the right answer

now how did i do it

i don't understand the logic

[coarse gazelle]

Did it ask how many combination the 20 seats can be in only?

or how many combinations 6 people can sit in 20 seats

[zenith arrow]

the latter

[wooden veldt]

There are 20 choices for where the first person can sit

How many choices for the second person?

[zenith arrow]

19

[wooden veldt]

Keep going

[coarse gazelle]

ye

[wooden veldt]

And you have your answer

[zenith arrow]

i did

but like what is the formula

[coarse gazelle]

x!

[wooden veldt]

20 choose 6

[zenith arrow]

20!/6!?

20!/6!5!4!3!2!

?

[violet forum]

i think we will use combination...

we shouldnt permute it as the order does not matter

[zenith arrow]

i still dont understand

[violet forum]

but still this doesn't give us the answer

[wooden veldt]

Sorry yeah its 20 permute 6

[violet forum]

eh?

yea

permute it

[zenith arrow]

how

[violet forum]

order does matter

this might help?

[zenith arrow]

ok i got down the formula

but why divide 20! by 14!?

[violet forum]

(n-r)! is in the denominator

if ur asking for the logic

https://www.youtube.com/watch?v=0NAASclUm4k

[coarse gazelle]

you only have 6 people to fill the chairs, so when they all sit there will only be a certain amount of permutations left less than the original if there were 20

[violet forum]

i think OP got that hes just asking how to solve the question formula wise and not by fundamental principle of counting

[sly orbit]

is this room open?

or is it still occupied?

[wooden veldt]

#❓how-to-get-help

[devout snow]

@zenith arrow Has your question been resolved?

[zenith arrow]

ok so i got premutaions down

now i need to understand combinations

so this other exercise goes like this

the mans want to organize 4 literature books 3 history books and 1 math book

in any order

how do i solve this

nvm

ok so how about

what if

the books of literature have to be close to each other and so do the history books

<@&286206848099549185>

you are a bunch of poopy heads

[supple knot]

don't be rude

[zenith arrow]

so now you respond

i don't think you deserve that green role

[supple knot]

lol ask for help and immediately insult the person helping

not a smart move