help-0

[desert fractal]

Npnp

[alpine sable]

I still dont really understand when to apply the product or chain rule tho XD

[desert fractal]

You'll get used to it eventually

It just takes a lot of practice

[alpine sable]

Its only used in derivatives ?

[desert fractal]

Yup

[alpine sable]

I knew the chain rule thing when it was something like 2(x^3+2)^3

Where you do 6(x^3+2)^2 • 3x^2

( i hope thats correct)

[desert fractal]

Yeah that's actually correct

[alpine sable]

Im phd student

[desert fractal]

Clever lad

[alpine sable]

Math

Soon

May i ask you 1 more small thing

Otherwise i ask someone else if u are short on time

[desert fractal]

Oh sorry it's like 1 am over here

Have to go to bed now sadly

[alpine sable]

Im just wondering why its the top one and not bottom lol

[alpine sable]

Same thing here lol

[alpine sable]

Good night, and thank you again

[desert fractal]

Gn

Bottom one looks correct tho

Anyway cya

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @neat meadow

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 remnant]

where did x-2 come from?

[gray isle]

factorisation

[random remnant]

how...................

[surreal meadow]

you can factor a 3 from 3x^2 - 6x to get 3(x^2-2x)

and then you can factor an x from 3(x^2-2x)

[random remnant]

okay, thanks

.close

[lone heart]

Channel closed

Closed by @random remnant

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.

[autumn cedar]

how do you solve
cos(x + y) cos(y) + sin(x + y) sin(y) = cos(x)

[autumn cedar]

.close

[lone heart]

Channel closed

Closed by @autumn cedar

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.

[strange viper]

hey does anyone know how i would get the derivative of g(x)

[solemn juniper]

Fundamental theorem of calculus

[strange viper]

I'm not sure I understand.

[solemn juniper]

If F is the antiderivative of f, what is $\int_0^x f(t) \dd t$

[ocean seal]

Steakanator

[strange viper]

well i know that the derivative of g, is the same as f(t). I'm just not sure I understand the relationship

[solemn juniper]

The derivative of g(x) is not f(t)

[strange viper]

i'm confused

[solemn juniper]

It's a notation thing

g' being the same as f isn't the same as g'(x) being the same as f(t)

[strange viper]

so what's the difference between g' and g'(x)

[solemn juniper]

g' is a function, g'(x) is the function g' evaluated at the point x

Depending on who you ask, g'(x) is bad notation since a point doesn't have a slope

[strange viper]

ok so if i get what you are saying

g' is the same as f

however

g'(x) isnt the same as f

but g'(x) is the same as f(t)

?

[solemn juniper]

Yeah two functions are equal if g(x) = f(x) for all x

g'(x) in this case but same same

[strange viper]

ok but why is g' = f? that's what im not sure of.

[solemn juniper]

The mechanical way to verify is to just use FTC

But just think about the rate of change of the integral; irrespective of how far back you started, the integral will always change by f(x_i) * delta(x_i)

Using the riemann sum to compute the integral

[strange viper]

that's another thing i need to figure out tbh my teacher wasn't very clear on how integrals or riemann sum worked

[solemn juniper]

You get that a riemann sum is basically just adding up areas of rectangles, right?

That's the only important part

(For this)

[strange viper]

yea

i did that in an earlier problem today

this

right?

that's a middle riemann sum

[solemn juniper]

No matter what your lower bound is, if your upper bound of integration is x, increasing x by a small amount (say $\Delta x$) always increases the size of the integral by $f(x_i) \cdot \Delta x$

[ocean seal]

Steakanator

[solemn juniper]

The actual value of your integral is different for different lower bounds, but the amount it changes by increasing x doesn't

Does that track?

[strange viper]

Not really I still don't quite understand.

I'll try going back and watching my teacher's lecture notes again but yea, thanks for clarifying the g' and f relationship though

.close

[lone heart]

Channel closed

Closed by @strange viper

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]

Is anyone here

[lone heart]

Please don't occupy multiple help channels.

[alpine sable]

Here is the link

#help-19 message

.close

[lone heart]

Channel closed

Closed by @neat meadow

Use .reopen if this was a mistake.

[strange viper]

@solemn juniper ok i think im starting to understand a bit more

[solemn juniper]

[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.

[muted tinsel]

How do you prove that given scalars a, b in F and a non-zero vector v. If av = bv then a = b?

[muted tinsel]

I tried to do
a \neq b (ignoring 0 case)
then you can multiply both sides by a^-1 which gives you v = a^-1bv
So then something like this implies that a must equal b which contradicts our original claim

is this valid?

[last ether]

Hm, what if you try to project one of them onto the other

[muted tinsel]

wdym?

[last ether]

Are you familiar with vector projection

[muted tinsel]

no

[last ether]

Oh nvm then

[muted tinsel]

I think my proof works out if I can say that there has to be a unique multiplicative identity

because then a^-1b must be the multiplicative identity

which implies that they must be the inverses of each other

and then proves that a = b

is this the right approach or should I do something else?

[last ether]

Hm

Maybe it might work

I mean maybe compare their magnitudes

[muted tinsel]

this was from a midterm, but I dind't get credit for it

but I'm not too sure why

[last ether]

Maybe compare their magnitudes so that you deal with numbers and not icky vectors

[muted tinsel]

oh ok

so a scalar multiples a vector by a scalar multiple right

uhm

idk how to prove this without it being like circular

[last ether]

You can let v = <i, j> for universality's sake

[muted tinsel]

ok

ai+aj = bi+bj?

[last ether]

And then av = ab => <ai, aj> = <bi, bj>

Yeah

Well

<i, j> are the components itself

[muted tinsel]

right right

and the components need to be equivalent

so ai = bi and aj = bj

[last ether]

Uh, I guess

I mean I would go safe and find their magnitudes

[muted tinsel]

how would you do that?

[last ether]

well the thing is that ai + aj is <a, a>. I let I and J be variables, not vector notation stuff

Maybe I should've used <h, k>

[muted tinsel]

then what?

[last ether]

well

a<h, k> = b<h, k>
<ah, ak> = <bh, bk>

Find their magnitudes

And then

Set their magnitudes equal

[muted tinsel]

ah

so like

sqrt(a^2) = sqrt(b^2)?

so a = b?

[last ether]

Well you can't neglect h and k

But I think it'll end up being that

[muted tinsel]

oh

h and k are also magnitudes right

so like

sqrt(a^2h^2 + a^2k^2) = sqrt(b^2h^2 + b^2k^2)

and then distribute it so

asqrt(h^2+k^2) = bsqrt(h^2+k^2)

divide both by whatever that is

so a = b?

assume that it's non-zero or whatever

[last ether]

Yes

[muted tinsel]

what if sqrt(h^2 + k^2) = 0

what do I do about that case?

[granite wigeon]

h and k are 0, or um

[muted tinsel]

oh right

yea

that would imply a 0 vector

thanks

[last ether]

Well

[granite wigeon]

Can h or k be the square root of a negative number?

[last ether]

Don't worry

:)))))

Well

Vectors get kinda crazy but

[granite wigeon]

They can't I believe

vectors are positive

[last ether]

Well you can have a 0 vector

As far as I'm concerned I have seen a <2i, 2i> vector or soemthing

[muted tinsel]

well in the original question it states that you have a non-zero vector

[last ether]

So

Yeah

Then you're fine

[granite wigeon]

2i, 2

[last ether]

And uh

Shit can vectors even have complex components

[muted tinsel]

probably

but I'll just ignore that

🙂

[last ether]

Don't worryyyy

Uhhh

[granite wigeon]

Absolutely. There exists a direct isomorphism between the 2D Euclidean vector space and the Argand plane, for a start. In fact, it is possible to talk of mathematical objects called quaternions and use quaternion algebra analogously to vector algebra.

[last ether]

The government made them up to make you file your taxes

[copper tangle]

lmao what

[last ether]

They don't exist :))))

:))))))

[copper tangle]

imaginary for a reason

[last ether]

On god

If you ain't saying facts I ain't paying my tax

[granite wigeon]

You must use i

(2i) and 2

That works

-4 and 4

[muted tinsel]

.close

[lone heart]

Channel closed

Closed by @muted tinsel

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.

[wheat crystal]

umm so i basically thought the common diff is 2

but its not apparently

[lost jungle]

yes it isn't

this isn't an arithmetic sequence

there is no "common difference" or "common ratio"

[wheat crystal]

ah

[lost jungle]

you just need to plugin the equation and calculate the terms individually

so a_3=a_2+2a_1 right?

[wheat crystal]

this equation?

[lost jungle]

yeah

[wheat crystal]

oh

[lost jungle]

you just simply need to use it to calculate a_3, plug in again and calculate a_4, then calculate a_5

no other way to do it

[wheat crystal]

wait how would we use it

[lost jungle]

so what is a_3

[wheat crystal]

if we dont know a_3

im not sure

[lost jungle]

so we will find a_3 in terms of a_2 and a_1

so we plug in n=1

what do we get for the equation then?

[wheat crystal]

a_3=a_2+2a_1

[lost jungle]

yes, so now plug in our known values for a_2 and a_1

[wheat crystal]

oh

uhh

so how would that look like

wait

okay

nvm

[lost jungle]

we literally just plug in a_2=3 and a_1=1

you are overthinking it

its simpler than you think

[wheat crystal]

a_3 = 5

[lost jungle]

yep!

[wheat crystal]

ah

[lost jungle]

just do the same thing now for a_4 and a_5

[wheat crystal]

i see

[lost jungle]

okay so tell me what you get for a_4 and a_5

[wheat crystal]

11 and 21

i think thats right its just annoying because i always get confused by problems

Because i think they can be harder than they are

[lost jungle]

um a_4 is correct i disagree with a_5

oh wait sorry nvm

yeah 21 is correct

yeah

[wheat crystal]

Ah

[lost jungle]

a_5=21

[wheat crystal]

o

okay

Tysm 😄

.close

[lone heart]

Channel closed

Closed by @wheat crystal

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.

[grave niche]

where did they get the Sin a and Sin b from?

[solemn juniper]

There's a lot of sins in this picture

Which one(s) are you talking about?

[solemn juniper]

cot = cos/sin, so you want to be dividing by sin

The presence of sin(a)cos(b)s and sin(b)cos(a)s in the numerator and denominator means that dividing by sin(a)sin(b) gets rid of all of the sins and turns the cos's into cots

[lone heart]

@grave niche Has your question been resolved?

Channel closed

Closed by @grave niche

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.

[reef flame]

I have the geometric series 3/1-y/3

[reef flame]

3 / (1-y/3)

this series converges for all values less than 3 yes?

but diverges for all y values greater than 3?

[lone heart]

@reef flame Has your question been resolved?

[reef flame]

I tink I figure it out

[lone heart]

Channel closed

Closed by @reef flame

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.

[rotund wolf]

anyone here speak french

[rotund wolf]

i have an issue with this physics problem

but its french

its mecaniques

so like
vf=v1+a(tf-ti)

xf=xi+vi(tf-ti)+1/2a(tf-ti)^2

in other words thos

This question is bothering me

i looked at the answer and they said that a=-9.8

but i put 9.8 because my yi= 60 and yf=0

[slate shore]

can yall help me with quadratic equations

please

[rotund wolf]

what in particular in teh quadratic formul;a?

.close

[lone heart]

Channel closed

Closed by @rotund wolf

Use .reopen if this was a mistake.

[slate shore]

finding x and plotting on a graph

of both x valeus

[rotund wolf]

give me an example

[slate shore]

11+x squared= 18

[rotund wolf]

(11+x)^2=18?

[slate shore]

so the awnser is

yes

like simplified is

[rotund wolf]

ok so ur a is 1

and ur k is 0

\

[slate shore]

x squared=9

[slate shore]

then

x= 9 squarred root

3 and -3

right?

[rotund wolf]

not really

[slate shore]

oh

[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.

[gritty verge]

hello guys i have a question

[gritty verge]

so i have this series 2/(k+5)

i need to identify if it diverges or converges

i wanted to use comparison test but idk which series to compare it with

like i thought about 2/k but i dont think it works cus 2/k is the bigger series

or like shld i use ratio test?

[sour dove]

ratio test is what I would try first

if that fails then comparison test

[gritty verge]

may i ask smth? How do we like determine which test we shld use first

[sour dove]

tbh it's whichever one is the easiest to work with; it completely depends on the series

[gritty verge]

mhm ooh icic but then in this case what can i use to compare 2/(k+5)?

[gritty verge]

ah icic

[gritty verge]

cus the series i will use to compare to this must be smaller right? Cus if smaller series diverges, the bigger series will diverge too

[sour dove]

yeah basically. If we find something to compare it to, and the comparison diverges then it will diverge as well

oh wait

you know what? the integral convergence test will make this one easy

[gritty verge]

but i think the one we for sure know must be like smaller series right?

[sour dove]

(sorry it's been a minute since I"ve done these haha)

[gritty verge]

haha nppp!

[gritty verge]

nvr learned this lol AHHA

[tall topaz]

Can also do limit comparison with the harmonic series

[gritty verge]

oooh

okay lemme try the diff methods

tysm!

.close

[lone heart]

Channel closed

Closed by @gritty verge

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.

[gentle ledge]

Hi just a question

[gentle ledge]

1. A newsroom wants to determine if Candidate A will gain at least 50% of the votes in an election based on a random sample of n ballots. Suppose that n is such that np > 5, nq > 5, and n/N < 0.05. Suppose that 55.2% of these n ballots are votes for Candidate A.
   In order for the newsroom to declare with 99% confidence that Candidate A will receive at least 50% of the votes, what is the minimum value of n?
   If we suppose that n = 5000, then what is the 95% confidence interval for the proportion of votes received by Candidate A?

Not a exam or test

Just wanted to know what’s the formula for those two question

[lone heart]

@gentle ledge Has your question been resolved?

[gentle ledge]

.close

[lone heart]

Channel closed

Closed by @gentle ledge

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.

[cedar field]

In trigonometric substitution there are a lot of rewrites that I can see work but when I actually do trig sub I don’t know what to do, please help me learn to know what to do? Here are some examples.

[cedar field]

.close

[lone heart]

Channel closed

Closed by @cedar field

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.

[keen orbit]

I'm supposed to integrate the area between the curves

by rotating it around x=2

I think I can use the shell method

I think I messed up though when I tried to shift my integrand by changing x to (x+2)

[pine kettle]

why would you use shell method just use washers

[keen orbit]

why not use shell method

[pine kettle]

oh either work

one is just converting to terms of y

int 2pi r h dx

[keen orbit]

hmm, I'm a bit confused... I don't think the question says which method to use either

maybe if I used x-2...

+2 would probably not shift it the way I want

I don't think... idk

[pine kettle]

usually they dont, you can use either method

[keen orbit]

ok, maybe I'll use washer then

[pine kettle]

I would use shells here

actually

[keen orbit]

hum ok

I have the formula for shell

I think I just messed up the shifting

the changing of the axis of rotation

basically my integrand f(x) should be f(x-2) right?

or... fk, i dunno

[pine kettle]

i change my mind again

i would set it up

terms of y

using washesr

[keen orbit]

because it's being rotated around x=2 ?

rotated around the y-axis shifted +2

I guess that might be easier

[pine kettle]

int pi (2 - y ^)^2 - pi (2- sqrt(y))^2 dy

$\pi \int_0^1 (2 - y^2) ^2 - (2 - \sqrt{2})^2 \dd y$

[ocean seal]

sills

[keen orbit]

omg

I see what I did wrong

the formula says

x*f(x)

for shell method

so it should be (x-2)f(x)

er, (x+2) maybe

yaaaa

dats it

mebbe

fk idk

then I'd have to change my limits of integration I think

all fked up

oooh yes

that will work I think

fk I have no idea lmao

[lone heart]

@keen orbit Has your question been resolved?

Channel closed

Closed by @keen orbit

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.

[tawdry comet]

guys i cant seem to understand my math teacher and im suffering from studying these alone, does anyone mind helping a student out ? i have to review for my upcoming exam this thursday and it would really mean a lot

Illustrate a quadratic function.
Identify the values of a, b, and c in a given quadratic function
Describe the opening and the vertex of a parabola.
Properly model real-life situations using quadratic functions
Determine whether a given table of values represents a quadratic function
Represent a quadratic function using table of values and graph.
Transform a quadratic function into vertex form and identify its vertex.
Identify the effect of changing the values of a, h, and k in the vertex form of a quadratic function on its graph.
Graph quadratic functions in the rectangular coordinate system.

[rose sigil]

it would be easier if you asked for help with specific questions 🙂

[tiny vigil]

you need help with ALL of that?

[tawdry comet]

no just any from above!

it would really mean a lot and

[tiny vigil]

https://www.myqbook.com/MathConcept/636/Introduction-to-parabola

[tawdry comet]

for this case i dont really have a specific question. . .

[tawdry comet]

oh thanks!

this is more on like reviewing stuffs since i could hardly understand

[tiny vigil]

I think this introduction covers most of these questions. hopefully we don't expect you to invent math from scratch!

[rose sigil]

oh :c

[tawdry comet]

but my graphing is okay

[rose sigil]

any like, homework problems or problems from class?

[tiny vigil]

a lot of this stuff you just have to remember for now

[tawdry comet]

yup!

[tawdry comet]

i will check

[rose sigil]

ok!

it’s just hard to know what you want help with without more specific questions

[tawdry comet]

oh lord i look so dumb i cant even answer pre cal

[rose sigil]

you don’t look dumb :>

[tawdry comet]

hehe thank you

[tiny vigil]

from the article I posted

(example from internet)

this is something you need to understand and remember

[tawdry comet]

yes?

[tiny vigil]

I think there's nothing wrong with forgetting this stuff

[tawdry comet]

why so?

[tiny vigil]

there's a ton of it! if you don't do math intensely everyday I don't think you can remember everything without revising. no way.

I was doing a lot of probability few years ago. I don't remember anything from it basically

because why would I? no use = forget

[tawdry comet]

should i be worried about myself

[tiny vigil]

xD not sure what you mean but if you don't do math for a long time and suddenly you'd be on deep water, it usually ends with drowning

luckily, if you R&U'd this before, did some practice, revising goes much faster

what's the scope of your exam?

[tawdry comet]

scope..?

[tiny vigil]

what will be on the exam

[tawdry comet]

ohh

i

i cant seem to open the gforms my teacher gave me but its more on solving word problems related to the topics listed above

and identifying if its a quadratic function or not?

[tiny vigil]

okay, first of all, you can google each one of those separately and get neat answers

that's one approach. if you want to revise quadratic/parabola stuff, we can point you to resources

or help with specific problems? that might be a lot of work if you don't study this yourself first

this knowledge stacks on itself, when you understand how parabola works it gets a lot easier to answer some of these

"Transform a quadratic function into vertex form and identify its vertex.
Identify the effect of changing the values of a, h, and k in the vertex form of a quadratic function on its graph."

this is just learning the method, and understanding how graphs work

[rose sigil]

you’ll be fine dwww ❤️

[tiny vigil]

this alone answers some questions I think

since we are talking about quadratic functions the horizontal parabolas are not of concern

[tawdry comet]

thank you so much!

currently watching the organic chemistry tutor haha

thank you i appreciate the help from both of u

.close

[lone heart]

Channel closed

Closed by @tawdry comet

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.

[manic vortex]

All right sooo I’m super in the dark for this one I barely know anything about binary, if the English seems kinda scuffed for the question it’s because I translated it with google translate :p. Seems kinda difficult to manually translate the question when you know nothing about it :/

b. Binary string or bit string is a string that contains only two characters in the set {0,1} only. The length of a string is the number of digits in the string. For example, the string 11001 is a binary string of length 5. Determine how many binary strings of length 10 contain at least three 1's and at least three 0's.

[tiny vigil]

hmm

isn't this combinatorics?

[manic vortex]

yeah I think soo

[rose sigil]

I think complementary counting is a good idea 🙂

[tiny vigil]

I would try permutations here

tbh not sure but that's my first instinct lol

I need to get better at this stuff layla seems more knowledgeable at this stuff so go with that

I will return! smarter

[manic vortex]

Cool, but does that answer the question cuz I'm a little confused on what the question want me to answer

sorry I'm super bad at math 😐

[rose sigil]

well that alone doesn’t answer it haha

but i was suggesting you count the number of strings that have less than three 1s or less than three 0s

that will be the number of strings that don’t satisfy the condition

[manic vortex]

alright cool cool cool imma start on that Thanks!

[rose sigil]

yep ^-^

[lone heart]

@manic vortex Has your question been resolved?

Channel closed

Closed by @manic vortex

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.

[plucky geyser]

Hello

[plucky geyser]

Could someone check my integrals whether they are correct or not?

[alpine sable]

what's this term
ma = -_ -mgsin@

[plucky geyser]

-kv ?

retarding force

[alpine sable]

the v is the velocity right ?

you'll have to gather all the terms with v together while integrating

[plucky geyser]

yeah

Oh

Because this is a sperable diff equation

You right

Thank you I was wrong

[alpine sable]

the 2nd time you integrated is wrong

[plucky geyser]

why

there is no x to gather in the same side

[alpine sable]

1st one too

[plucky geyser]

they must all be wrong because the first one is wrong anyway

[alpine sable]

what is integral vdt

[plucky geyser]

vt

[alpine sable]

is the velocity constant ?

[plucky geyser]

assumming not

what would be

[alpine sable]

then it's not vt, it can't be because v is variable it would be x

v=dx/dt

[plucky geyser]

I guess I have to solve again

🥺

[alpine sable]

😄

[plucky geyser]

😁

if I gather all v in the left-hand side by throw -kv to the left-hand side, how can I throw dt to the right-hand side?

[alpine sable]

what type of equation do you want

i said that with respect to 2nd eqn but the first one is wrong

so it doesn't matter for now

[plucky geyser]

I'm confused

mdv/dt-kv=mgsin

isn't right?

but dt..

[alpine sable]

check the signs, not the same

as what you wrote before

if you integrate w.r.t dt then you would get a eqn in terms of v,x and t

[plucky geyser]

could you write for me

[slender gull]

m(dv/dt) = -(kv + mgsintheta)
Why the "-" because, your Velocity is supposed to decrease with time.

[alpine sable]

ma = -kv -mgsinθ
dv/dt = -kv/m -gsinθ
∫dv = ∫-kdx/m -∫gsinθdt

[plucky geyser]

Didn't I already do as you said?

[alpine sable]

no you wrote integral vdt as vt which is wrong

[plucky geyser]

is this true

[alpine sable]

well yes

[plucky geyser]

I knew v as a constant

because this integral depends on t

so v should behave like a constant I think

[alpine sable]

no v depends on t, soyou can't treat it like a constant

[plucky geyser]

how would you solve the integral of -kv/m dt

[alpine sable]

it's -kx/m

[plucky geyser]

omg

oh

because

V = dx/dt x dt = dx and if we calculate the integral of dx, it would be x so the solution is -kx/m

[alpine sable]

..

yes

[plucky geyser]

I got it now!

😅

I'll solve it immediately again

And I'll come back

[alpine sable]

okay

[plucky geyser]

I found v(t)

I hope it is correct

now 😄

[alpine sable]

yes

[plucky geyser]

Yuppi

I'll continue with x(t)

[lone heart]

@plucky geyser Has your question been resolved?

[lone heart]

@plucky geyser Has your question been resolved?

Channel closed

Closed by @plucky geyser

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.

[silver current]

anyone know how to do q1?

[jagged imp]

,rccw

[lone heart]

@silver current 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.

[hard shoal]

How do I get the height of the flagpole

[hard shoal]

With x and y I can’t use the trig function

So just wondering how I can figure out the height of the flagpole

<@&286206848099549185>

???

[lone heart]

@hard shoal Has your question been resolved?

[hard shoal]

I’ll take a photo of the triangle I’ve dreq

drew

How would I use trig to figure out x

using reference from photo above

[thick vault]

Someone should tell a step by step progress lol

[hard shoal]

Thanks for the help but the answer is 23.43m

[thick vault]

Nc

[hard shoal]

I don’t know how to get it

I just looked at the answers

but I think you misunderstood

How did you get 200?

I’m sorry I’m not the best

(x+200)/y=tan(60)

How did you get that 200 there

thanks so much for help btw

[teal roost]

Please disregard everything I have stated and ping helpers as I apologise for my complete ignorance of the matter.

[lone heart]

@hard shoal 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.

[reef dawn]

Should we always try to simplify a function before checking if it's indeterminate?

[tiny vigil]

em.. depends?

tricky question

I mean it's good to look around and see what you are standing on

usually simplification is cool and what you are supposed to do, or even have to

sometimes though when you simplify too much you might get stuck

I wouldn't generalize here, you should get intuition with this

if you simplify too much and see the problem, you can always go back

or you can try without simplifying, whatever your preference

[reef dawn]

so for a general rule of thumb if it looks like its gonna take too much time to figure out then its best to just simplify?

[tiny vigil]

I'd really avoid making a "rule" here

just keep doing exercises and you will get it

[reef dawn]

aight then

thanks

[tiny vigil]

yw

[reef dawn]

.close

[lone heart]

Channel closed

Closed by @reef dawn

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.

[reef dawn]

Is e^inf undefined or inf?

[echo socket]

We don't define inf to be a number

Despite us writing that the limit of e^x as x approaches infinity is infinity, the limit technically doesn't exist nonetheless

[lone heart]

@reef dawn Has your question been resolved?

Channel closed

Closed by @reef dawn

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.

[final minnow]

Can anybody helps me ?

Simplify the following Boolean function using the Karnaugh Map!
a. f(x,y,z) = x'z + x'y + xy'z + yz
b. f(w,x,y,z) = w'x'y' + x'yz' + w'xyz' + wx'y'

[lone heart]

Please don't occupy multiple help channels.

[final minnow]

<@&286206848099549185>

[lone heart]

@final minnow Has your question been resolved?

Channel closed

Closed by @final minnow

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.

[mental fog]

A coffee factory mixes 3 different mixtures in order
produce special coffee blends. Mixture A contains 5 grams
Coffee, 2 grams of sugar and 3 grams of creamer. Mixture B contains 3 grams
Coffee, 7 grams of sugar and ? gram creamer. Mixture C consists only
of 2 grams of coffee and 3 grams of sugar. How many hunchbacks each -_
each of these mixtures must be combined in order to produce
a special coffee blend containing 21 grams of coffee, 10 grams of sugar and
2? grams of creamer?

[mental fog]

help pls

<@&286206848099549185>

.close

[lone heart]

Channel closed

Closed by @mental fog

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 oar]

ok this might be a bit hard to grasp

i have a bunch of conditions, i want to resolve these conditions (that evaluate to either true or false) and end up actionX to do

example:
conditionA ∧ (conditionB ∨ conditionB) ∧ (conditionC ∨ conditionC) = actionA
¬conditionA ∧ conditionB ∨ conditionC = actionB
¬conditionA ∧ ¬conditionB ∨ ¬conditionC = actionC

how should i best organise these conditions to simplify?

[tiny vigil]

https://sandbox.mc.edu/~bennet/cs110/boolalg/simple.html

this?

there was also a table thing that I'm trying not to remember

[lone heart]

@median oar Has your question been resolved?

[median oar]

i feel like there's a table for this

but i cant remember how you set it up

[lone heart]

@median oar Has your question been resolved?

[lone heart]

@median oar Has your question been resolved?

[teal roost]

truth table?

[lone heart]

@median oar 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.

[pallid shadow]

am i dumb or is my teacher wrong

[pallid shadow]

<@&286206848099549185>

[naive valley]

certainly mx + 2y = 40m is not equivalent to 5mx + 10y = 400m, if that's what you are asking

if you changed 40m to 80m then they would be

[pallid shadow]

yeah ty

.close

[lone heart]

Channel closed

Closed by @pallid shadow

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.

[buoyant linden]

how do i approach q8?

[short gust]

when straight lines are perpendicular
We got
Slope1 × Slope2 = -1

[buoyant linden]

huh

why does it equal -1

[short gust]

Can you find the slope of the 2 lines?

[buoyant linden]

no

x is not determined

??

[short gust]

Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2

[buoyant linden]

oh ok

.close

[lone heart]

Channel closed

Closed by @buoyant linden

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.

[brittle sun]

Linear Algebra
I can't manage to find the translation for what I'm trying to ask, so I'll just draw it instead.
Is this a good way to uh... "describe" a matrix?

[brittle sun]

As in, is this the formal way of doing it? Is there a more appropriate way?

(This matrix is just an example, of course. I'm asking about the way I wrote "a_ij" and all of that.)

[lone heart]

@brittle sun Has your question been resolved?

[sweet burrow]

usually if you have a matrix that can be described element wise then you just write $(A)_{ij} = ...$ and whatever the element is equal to based on i,j, but very few matrices actually have this kind of structure so it's easier to describe it in words (diagonal, tri-diagonal, circulant, symmetric, antisymmetric, etc)

[ocean seal]

Transparent_Elemental

[lone heart]

@brittle sun Has your question been resolved?

[brittle sun]

I'm going through Linear 2 so matrices often follow some pattern
I'm asking if this is a "formal" way of describing a matrix because I genuinely dont remember

[sweet burrow]

it is

[brittle sun]

Oh, cool - is there a more traditional way of describing a matrix or is this perfectly fine?

[sweet burrow]

using words and matrix equations is a more common way because it's simpler, shorter and easier to understand

any A that satisfies $A^T = A$ is symmetric, any A that satisfies $A^T = -A$ is antisymmetric and so on, all of them have "formal" way to write them, but it's longer and often spreads to 2 cases which you have to treat separately

[ocean seal]

Transparent_Elemental

[brittle sun]

Yeah, but not all matrices that follow a cetain pattern can be expressed that way though
So whilst I do agree that just using words is simpler, sometimes giving an algebric expression to a matrix makes proofs a whole lot clearer

For example, in my exercise, I needed to prove that the sum of v_i^t * v_t is the I_n matrix, where v_i are row vectors of an orthogonal base.

Anyhow, as long as my writing is good I'm satisfied, ty for the help

.close

[lone heart]

Channel closed

Closed by @brittle sun

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.

[turbid kestrel]

how do i solve this differential equation?

[lone heart]

@turbid kestrel Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

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.

[gritty pond]

is infinity a number?

[dim oasis]

Not really

It's more of a concept, but that can depend on context

You can think of it as a number in the sense that it's a quantity

Such as saying "there is an infinite number of real numbers"

But it's not a discreet, identifiable number that we can use in the same way we do other numbers

[humble parcel]

Can someone save me

[dim oasis]

Go to #❓how-to-get-help to open your own channel please

[zinc dagger]

Although infinity doesn’t exist as a real concept in the real world (hence it’s not a real number), infinity IS considered a number in the trans finite and surreal number system (they consider infinite numbers in a different light)

[stoic cliff]

No, the slope of one is the negative reciprocal of the other

Happens to the best of us

[lone heart]

@gritty pond 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.

[dim oasis]

When I'm doing double integrals in 3d space, does it matter which integral I do first?

[dim oasis]

Should I always do $\int \int f(x) dx dy$

[ocean seal]

lexitorius

[dim oasis]

Or can I do $\int \int f(x) dy dx$

[ocean seal]

lexitorius

[dim oasis]

As long as I maintain the correct bounds in the right order?

[limpid turret]

you can do either

https://en.wikipedia.org/wiki/Fubini's_theorem

[dim oasis]

That's what I figured but when I did some random problems to test that in wolframalpha I got different answers

Though now that I'm testing more it makes sense

Good to know, thanks

.close

[lone heart]

Channel closed

Closed by @dim oasis

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.

[silver furnace]

Hey guys easy question, im dividing this polynomial but I’ve come across subtracting -35 - -5x and they are not like terms what do I do?

[gray isle]

simply write the result of the subtraction?

a+b = a+b

if they're not like terms, don't make any attempt to combine them

[silver furnace]

Ok just not sure how to structure it out

[silver furnace]

Actually your wrong you can’t do it like that but thanks for helping me

.close

[lone heart]

Channel closed

Closed by @silver furnace

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.

[gray isle]

wrong how?

[silver furnace]

When dividing a polynomial like that with two terms an x being to the power of 2 you basically have to lay it out like this picture

Placing a 0x in the middle

[gray isle]

its ideal, but you aren't forced to

you make less mistakes if you structure it properly

[silver furnace]

It says you can’t do it in that other form without placing the 0x there

[limpid turret]

what is "it"

[silver furnace]

The video

[gray isle]

regardless what ends up at the blue is the result of -35 - (-5x)

[limpid turret]

Having the 0x is more verbose.

Ramonov is right, you don't "need" it. But I agree that actually doing it (especially as a newbie) is more helpful in preventing mistakes.

[harsh swallow]

If you dont put the 0x there you will just have to move the +4 at a later stage anyway but its not critical

[silver furnace]

Umm could you finish it in that form so I can see how?

[gray isle]

well what's
-35 - (-5x)

can you simplify that

[silver furnace]

-35 +5x

[gray isle]

yeh, and that goes in the place of the blue line,
and ideally you'd write the leading term first

5x - 35

and continue with your long division from there

doing the proper algebra, the end result isn't any different

[silver furnace]

Yea your right

[gray isle]

it certainly looks more well structured and its recommended that you do write those 0s but isn't mandatory here

it is essential if you're doing stuff like synthetic division though where powers of x aren't explicitly written

and alignment is more crucial

[silver furnace]

So aligning it with 0x is a good practice?

[gray isle]

yes

[silver furnace]

Okay I think I got it. Thanks ramanujan

.close

Lol

[gray isle]

.close

[lone heart]

Channel closed

Closed by @gray isle

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.

[dim oasis]

How would I go about parametrizing the surface of the 3d shape bounded by these conditions?
-cos(x) < y < cos(x)
-pi/2 < x < pi/2
z = 1/2 - x/pi
z = 0

[dim oasis]

I've already found its volume using a double integral as the first part of this problem, but I'm not sure I know enough about parametrizations to know what to do immediately

<@&286206848099549185> And multivariable nerds

[raven rover]

Are you trying to parametrize the curve to do an integral or just parametrize it itself

Because the two are somewhat linked?

[dim oasis]

Looking to parametrize the surface

So I can then integrate to find the surface area

The first one, parametrize the curve to do an integral

[raven rover]

If possible try drawing the surface in 3D space to get a feel for what it looks like

[dim oasis]

I have a feel for what it looks like, I just don't have very good drawings lol

[raven rover]

If you can find the bounds for each integral then that should parametrize the curve

It’d be helpful to get a clear drawing ideally, using solid lines for the edges you see, and dashed lines for things “behind” what you see

[dim oasis]

I do have this

Didn't dash the lines behind but

I think that's what it looks like sorta

I guess I know the bounds of each variable

-pi/2 <= x <= pi/2
-cos(x) <= y <= cos(x)
0 <= z <= 1/2 - x/pi

Not sure how to take those and make a parametric equation though

[raven rover]

It looks like you have y and z in terms of x

So x can be the bounds of your outer integral

Then you have to figure out y and z

[dim oasis]

Should I be trying to find a way to write the bounds of y and z without x?

[raven rover]

Not necessarily

y and z depend on x

[dim oasis]

I'm not sure what to do lol

I know I can parametrize y=cos(x) as (t,cos(t)) but y exists in an interval

[raven rover]

Think about where this region starts and stops in terms of the ranges of y and z (what you’re given)

[dim oasis]

Oh okay

I mean I know extreme values, |y| never exceeds 1

[raven rover]

It may help to consider the x-y planes and x-z planes in 2 dimensions

[dim oasis]

I think those are accurate cross sections

Technically the yz one isn't a cross section though but whatever

[raven rover]

Ye, just consider the left two

But yes, indicate what each curve is and what the bounds are for x

That will help you determine the intervals for y and z in terms of x

[dim oasis]

Welp in the x-y plane the curves are y = +-cos(x) {-pi/2 < x < pi/2}

And x-z is z = 1/2 - x/pi {-pi/2 < x < pi/2}

I think

Sorry if I'm completely lost lol

[raven rover]

You’re right

How can we describe the region bounded by/in between those curves

Using an interval like a <= y <= b? a and b will be your bounds

[dim oasis]

Integral of one - integral of the other?

$\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}} \int_{\frac{-\pi}{2}}^{\frac{\pi}{2}} \text{placeholder} dydz$

[ocean seal]

lexitorius

[dim oasis]

Not sure what to put in integrand

But something like that?

[raven rover]

Well in the case of x:

-π/2 < x < π/2

$\int_{-π/2}^{π/2} … dx$

[ocean seal]

Shen

[raven rover]

Close!

Your bounds -π/2 to π/2 are your x

[raven rover]

See this

[dim oasis]

Oh okay and those other things are my other bounds?

Would I do a triple integral?

[raven rover]

Pretty much

Ye

If you want the volume of the region, then you integrate 1 dV

[dim oasis]

$\int_{-\pi/2}^{\pi/2} \int_{-cos(x)}^{cos(x)} \int_{0}^{\frac12 - x/\pi} ... dz dy dx$

[ocean seal]

lexitorius

[dim oasis]

So if I wanted to volume, I'd just put 1 in the integrand?

What happens if I want to find the surface area

[raven rover]

Correct

[raven rover]

The surface area of the volume? Like the amount of paint you’d need to cover the outside of the shape?

There’s probably some formula for that, unfortunately I don’t remember that

[dim oasis]

Yeah the amount of paint I'd need to cover it

Ah cool beans it's all good

I can get help from my prof too

[raven rover]

👍👍

[lone heart]

@dim oasis 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.

[marsh verge]

hi can someone help me with this demonstration question?

[lost jungle]

okay

factor a^2+5a

[marsh verge]

how so

a*(a+5)?

[lost jungle]

yep

so a(a+5)<0

so now break this into cases

either a,a+5<0

or a<0<a+5

or 0<a<a+5

and check every case

[marsh verge]

in this case will work until a > -4

[lost jungle]

sorry it will work the whole range

[marsh verge]

and here for each value positive?

[lost jungle]

yeah for here, if a and a+5 are both positive, positive*positive is positive right?

so a(a+5) doesn't work

when a is positivee

now if a<0<a+5, then a(a+5) is negative times positive which is negative right?

so therefore, if -5<a<0, a works

[marsh verge]

so the supposition only work in this range, right?

[lost jungle]

yeah

[lone heart]

@marsh verge Has your question been resolved?

Channel closed

Closed by @marsh verge

Use .reopen if this was a mistake.

[marsh verge]

thanks

[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.

[rocky summit]

Hey dudes!

[rocky summit]

Non-homogeneous recurrence relation question

Have I set this up wrong? Obviously, the last line can't happen

OHHHHHHH

I think I get it... 1 is a root of the associated homogeneous recurrence, which means I need to multiply the particular form by the n raised to the multiplicity of the root

[lone heart]

@rocky summit Has your question been resolved?

[rocky summit]

.close

[lone heart]

Channel closed

Closed by @rocky summit

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.

[cunning loom]

Random question but do I say $\vec{\sigma} \in SU(2)^3$

where $\vec{\sigma}$ is a vector containing the sigma matrices

[ocean seal]

U(1)

[cunning loom]

(there are three sigma matrices, each being in SU(2) )

[lone heart]

@cunning loom Has your question been resolved?

[karmic pulsar]

I'd write $\sigma_i\in SU(2)$ for $i\in{0,1,2}$

[ocean seal]

ralvrz

[lone heart]

@cunning loom Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

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.

[orchid python]

An airline reports that it has been experiencing a 12% rate of no-shows on advanced reservations. Among 100 advanced reservations, find the probability that there will be fewer than 15 no-shows.

[orchid python]

how can i solve this question?

[lone heart]

@orchid python Has your question been resolved?

[lone heart]

@orchid python 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.

[modest tapir]

A hardware component attached to the system board that enhances functions of a component of a desktop.

[modest tapir]

Halp

[tacit arch]

wrong server?

[lone heart]

@modest tapir Has your question been resolved?

[lone heart]

@modest tapir Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

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.

[spring jackal]

List the teams of 2 which can be chosen from a squad of 5 named P, Q, R, S, T

[spring jackal]

this is my question

i thought the number of combinations would be 20

but there only 10

i confirmed using (n over r)

why are the teams for teams of 2 not: PQ PR PS PT QP QR QS QT RP RQ RS RT SP SQ SR ST TP TQ TR TS

[normal turret]

PQ = QP

PR = RP

etc

[spring jackal]

Ohhh

[normal turret]

so you basically have 10 duplicates

[spring jackal]

i was thinking of permutations

thank you

.close

[lone heart]

Channel closed

Closed by @spring jackal

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]

A coordinate system is placed over a map (one unit = 1 km). The place P has the coordinates P (-4/1.5), the place Q has the coordinates Q (5/7). Both locations are located on a railroad line that runs in a straight line.

Basic requirements:

1. draw the rail line g through locations P and Q in a coordinate system.

2. determine the equation of the function whose graph passes through the points P and Q.

[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]

<@&286206848099549185>

[hollow sparrow]

@alpine sable
the equation of a line is f(x) = y = ax+b

so you need to solve the system :
f(-4) = 1.5
f( 5) = 7

[wind hill]

hi

oh this is already occupied sorry

[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.

[weary rose]

Hey can someone please help solve this

[analog falcon]

what do

we can just simplify ig

[weary rose]

Alright thanks

Just a quick question

[analog falcon]

Do you know about distributive law

[weary rose]

If I wanna do 3 root (2) * root (2)

Do I add the 2s and get 3 root 4

[analog falcon]

nope!

[ocean seal]

n11

n11

[analog falcon]

that is 4

[analog falcon]

but its not because we added

we multiplied

[weary rose]

Is this correct

[analog falcon]

it is

[weary rose]

Thanks

[analog falcon]

ofc!

[weary rose]

Is this how u do this one

[analog falcon]

yes

note that r is under the sqrt

[weary rose]

Yea

This is what I got so far

Oops forgot the r on the last radical

But what do I do here (-9 )- 3

[analog falcon]

how u got 2 sixes

[weary rose]

Here

Distributed the 3 root 2

Oh never mind I messed up

[analog falcon]

$(3\sqrt2 + \sqrt5)×(\sqrt2 - 3\sqrt{5r})$

[ocean seal]

n11

[analog falcon]

Distributing we get

[ocean seal]

n11

[weary rose]

6 - 9 root 10r?

[analog falcon]

yes

and as for the next bracket we have

root 10 - 15 root r

do u see how?

[weary rose]

Yep I get it now

Thanks

[analog falcon]

👍 np!

[weary rose]

Last question btw

[analog falcon]

sure