help-36

[final saddle]

Channel closed

Closed by @shy grove

Use .reopen if this was a mistake.

[final saddle]

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.

[slender shuttle]

would R^n be R^5?

also im having trouble translating over what i should be doing. i tried rewriting in terms of the linear dependence definition, but i couldnt figure out how to use it

saying the dimension of the span is 4 is saying an output vector of Ax=b is in R4 where A represents a matrix whose columns are the vectors right?

how can i translate the dimSpan equaling 4 over to something usable in proving this?

nvm figured it out

.close

[final saddle]

Channel closed

Closed by @slender shuttle

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.

[summer lynx]

Here why will the power of x^n from the first bracket not be considered

[tardy lark]

you will have to send the actual question for anyone of us to be able to help you

[tardy lark]

i see that you did this an hour ago and didnt send the original, if you want help you will have to send the original and respond

[summer lynx]

Yes sorry

Question 6 here

@tardy lark

<@&286206848099549185>

<@&286206848099549185>

[tardy lark]

,rotate

[tardy lark]

have you guys learnt the multinomial theorem/expansion?

[summer lynx]

Yes

[tardy lark]

instead of going the way that website , ill try to explain it with multinomial

[soft zealot]

xd_senBugha

xd_senBugha

xd_senBugha

[summer lynx]

Ah

But how do uk t is 0

[soft zealot]

xd_senBugha

[tardy lark]

n can be anything <=22, with that it is impossible to find a combination of integer values of t and u which satisfies the second equation in this

[summer lynx]

Ohh

Okay

So when do I'm I can take it at 0

[tardy lark]

you can try if you want and check for yourself

[summer lynx]

How did u get 6! And 4!

Oh u get u= 4

[tardy lark]

so 253*4 is 1012, which fixes u = 4 and we've fixed t to be 0

10 - 4 = k

which is 6

[summer lynx]

Hmmm

Okayy

[tardy lark]

and then just put it in the multinomial thing

[summer lynx]

Makes sense

[tardy lark]

!done

[final saddle]

If you are done with this channel, please mark your problem as solved by typing .close

[summer lynx]

Okayy

Thanks

.close

[final saddle]

Channel closed

Closed by @summer lynx

Use .reopen if this was a mistake.

[final saddle]

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.

[finite gale]

Hello, I'm looking for help converting a point on a 2d arbitrary convex quadrilateral into a normalized coordinate within that quadrilateral. I've been doing some googling, and am confused whether this would be a projection mapping, or bilinear interpolation, or some other technique and I'm not really sure where exactly to begin. Here's an example of the inputs I have. And I would love to get the output as a normalized point showing the green points normalized position within the quadrilateral.

[final saddle]

@finite gale Has your question been resolved?

[rare girder]

you can go in one direction and map the unit square $[0,1]\times[0,1]$ to your polygon via $$(s,t)\mapsto (1-s)(1-t)A_{00}+(1-s)tA_{01}+s(1-t)A_{10}+stA_{11}$$ where $A_{ij}$ is representative of the point $(i,j)$ in the unit square

[soft zealot]

Flip

[rare girder]

https://www.desmos.com/calculator/jjrfsbr1ga

I'm not sure if that's immediately helpful in normalizing your points in the quadrilateral

[finite gale]

It looks like it might be... still just trying to process it. Aren't the function inputs in this case (s, t) actually the normalized point already though?

[rare girder]

yeah, so we'd really just like for the function to have a known inverse

what I did was interpolate two interpolations

you can map the bottom line of the unit square (the one that has the points $(0,0)$ and $(1,0)$) to the line containing $A_{00}$ and $A_{10}$ by sending $(s,0)$ to $(1-s)A_{00}+sA_{10}$ and $(s,1)$ to $(1-s)A_{01}+sA_{11}$ respectively

[soft zealot]

Flip

[rare girder]

for shorthand we can call these $f_0(s)$ and $f_1(s)$ respectively; then we just interpolate between them and send $$(s,t)\mapsto (1-t)f_0(s)+tf_1(s)$$ which is equivalent to the above thingy by some algebra

[soft zealot]

Flip

[rare girder]

so that's another way to see how that's working

[finite gale]

Hmmm, I'm not sure I quite understand this yet. Just playing around with some examples though to see if I can make it click. Thank you for the answer though!

[rare girder]

so I think we're hoping that a system of equations in $(x,y)$ of the form $$\left{\begin{array}{rcl} a_{11}xy+a_{12}x+a_{13}y+a_{14}&=&0\ a_{21}xy+a_{22}x+a_{23}y+a_{24}&=&0\end{array}\right}$$ has a unique solution

[soft zealot]

Flip

[rare girder]

the two equations correspond to the two coordinates being equal, and the coefficients come from banging the numbers together (the constant terms carry the data of the point in the polygon that we're trying to reverse the mapping for)

[rare girder]

this desmos link is interactive

in case you hadn't played with that yet lol

you can click and drag points, and play with the s and t sliders

[finite gale]

lol, yea I am right now. I think it's starting to clarify a bit better. Thank you!

[rare girder]

nice

[finite gale]

Sweet, yea I think this was exactly what I was looking for actually. Thanks @rare girder! I appreciate the help.

[rare girder]

cool, no problem! thanks for sharing

[finite gale]

.close

[final saddle]

Channel closed

Closed by @finite gale

Use .reopen if this was a mistake.

[final saddle]

Available help channel!

Send your question here to claim the channel.

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

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

[hazy robin]

. Help

[copper flare]

are there any helpers nobody helping me

[final saddle]

Please don't occupy multiple help channels.

[inland kettle]

first off no more than one channel

[inland kettle]

second, noadvert, wait your turn

[inland kettle]

again.

[copper flare]

For sure bro

[inland kettle]

this is not your channel

[copper flare]

I closed my other channel

It says awfullottablues on top

[dull ravine]

It is

[inland kettle]

oh fantastic

[copper flare]

It’s not? Or am I messed up

[inland kettle]

it is

[copper flare]

For sure

[inland kettle]

i think i'm lagging

[dull ravine]

.something never counts as opening the channel

[inland kettle]

;-;

[inland kettle]

ah

[copper flare]

This shit stressing me out

[dull ravine]

Won’t open if you have a dot at the start

[inland kettle]

all g

[copper flare]

This math

Lmk if any one can help I been waiting for 25

Dam can no one help😭

<@&286206848099549185>

[dull ravine]

!15mins

[final saddle]

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

[dull ravine]

What exactly do you need help with

[limpid egret]

4th one maybe

[copper flare]

I need help solving the rest and thank you all help is appreciated

The X,Y coordinate and the intervals

[dull ravine]

Solve f(x)=-4 is asking for what x is f(x)=-4

[copper flare]

And how do I solve that am I supposed to know what X is ?

Is it given or I solve

[dull ravine]

You can read it from the graph

[copper flare]

It looks like -2,8 on the graph

Would you agree

[dull ravine]

f(x)=y

[copper flare]

Yes

[dull ravine]

y = -4 is neither the case at x=-2 nor at x=8

Do you know how to read x and y from a graph?

[copper flare]

I do

This domain and range stuff just gets tricky with me

I have to now get x and y coordinates

[dull ravine]

This isn’t domain or range

[dull ravine]

Yeah you have to find the points where the y values are -4

[copper flare]

For sure I will try that now

[dull ravine]

And determine their x values

[copper flare]

Fuck bro

I’m so confused 😭

Could you maybe help on a easier question I can skip for now

[dull ravine]

Look at the graph. Where is y = -4

[copper flare]

Or should I stick on this?

I’m looking

[dull ravine]

You should

[copper flare]

Y=-4 looks like it’s on 0.5

[dull ravine]

Yes very good

Is the the only one?

[copper flare]

What do you mean

[dull ravine]

Are there other x for which f(x)=y=-4? Or is 0.5 the only one?

[copper flare]

I believe that is the only one I was given that one expression

[dull ravine]

What about x=4

[copper flare]

On the graph x=4 looks like -4

[dull ravine]

Indeed

[copper flare]

Right where my mouse is

[dull ravine]

So that’s another solution

x = 0.5 and x = 4 are both solutions

[copper flare]

For which problem exactly ?

Becuase the next 2 are finding

Y and X intercept coordinates

[dull ravine]

Solve f(x) = -4

That one

[copper flare]

Oh it’s not 2?

[dull ravine]

Why would it be 2

[copper flare]

Or -2?

[dull ravine]

Why would it be -2

[copper flare]

I’m sorry my mistake

I believe that was a previous answer

[copper flare]

How would u convert 0.5 into a point

[dull ravine]

(0.5,f(0.5))

[copper flare]

The system tells me this is not a decimal or integer value

[dull ravine]

Well yeah

It says what it wants you to enter right there

[copper flare]

I’m saying now that we have the solutions how I would enter it for F(x)=-4

[dull ravine]

You enter the values for x

As a list

[copper flare]

So 4 and

We got X=4

[dull ravine]

There’s another solution

[copper flare]

Fuck man I must be slow this is killing me

So we need to solve for another solution

[dull ravine]

I think it doesn’t need the ()

[copper flare]

Correct your right

It didn’t

Now I need Y intercept coordinates and X

It looks like it crosses the graph at 7?

And -1.5

[dull ravine]

Im gonna head out now, gotta eat

Good luck

[copper flare]

Any other helpers ?

<@&286206848099549185>

For any other helpers wanting to help am I here so far

[final saddle]

@copper flare Has your question been resolved?

[copper flare]

No

.close

[final saddle]

Channel closed

Closed by @copper flare

Use .reopen if this was a mistake.

[final saddle]

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.

[tranquil pine]

pls help me settle my math related debate with one of my friend

he belives x raised to power dx is totally integratable and have a phsyical significance as well>
while i tried objecting that we cant just randomly create integrals with highscool level knowlegde as after further studies we'll see how complexities in these function increase due to their physical significance and graphical significance.
thus he propose that it doesnt matter if he is a highscool student
he knows how integration works hence he can go ff creating his own throrems and stuff

tl:dr does x raised to power dx exists graphically? is tehre a physical significance? is it even integratable? and im not asking x^dx dx just x^dx?

[urban burrow]

https://youtu.be/VVF2nZ0WOY4?si=09Dkc1_G3QmtdVy5

its controversial

but apparently can be interpreted

[tranquil pine]

but the more imp ques is
is this the way to do it?
the right way?
claiming that just using highschool knwoledge to come up with stuff is totaly alright?
meanwhile i belive u need to have a higher level of knowledge , at least a degree in that field before u even try to "come up with stuff" in that respective field. what they teach in highscool is pretty bland and incomplete isnt it. before proposing any random integral shouldnt u worry about the higher level of complexities

[boreal locust]

no it cant

[final saddle]

@tranquil pine Has your question been resolved?

[dapper hull]

for question 1 and 2 it really depends on who discovered the idea and how they use it
for the third question it really depends cuz he maybe found/used some knowledge outside of high school + even still most of the newly discovered maths are not used or we may did not find a use for it yet

[tranquil pine]

exactly
im lacking words how i could explain it to him

[tranquil pine]

nah
in 3rd ques he basically wanna say that highscool knoweledge is enough to start coming up with your theories if u have enough creativity in your mind
i belive u cant do sht with creativity as long as all u have is incomplete knowledge

[boreal locust]

just tell him the notation is really weird

[dapper hull]

Yeah high school knowledge of a single topic isn’t enough I get you
but highschool knowledge covered a lot of math but I won’t think it’s enough to prove somethings in calculus

[tranquil pine]

"imagine a rectangle with length l breadth b
l^b * b is defined
in the rectangle dx approaches to zero
to x^dx approaches to 1
integral approximately equal to x"

his words not mine
he keeps being fixated over this

[tranquil pine]

exactly
if only he could understand that

[dapper hull]

ngl same logic I got in my mind when I saw that notation but where did that other b come from ?
like the integral is x^dx
not x^dx dx

[tranquil pine]

exactly
if it wouldve been dx dx it wouldve made more sense comparitively

[dapper hull]

yea

and only thing that comes to mind when find the integral of x^dx is using ln at this point

The more I think about it the more it doesn’t make sense

[tranquil pine]

lnFx = int of lnxdx

tho are we treating dx as a variable?
and if yes why?
while doing our normal int we treat dx as just a notation of a very small change of rate
hre as we are using the properties of ln it must either be a constant or a variable?

can we change the nature of dx?

and isnt lnxdx just product of two functions now

lnx and dx

bcz now dx is a variable

as per what weve assumed

[dapper hull]

Yea fr the more I think about it doesn’t make sense

[tranquil pine]

i feel ya mate

[dapper hull]

idk if the there is a logic he tries to imply like solving a differential equation using log_x(n)
or something

[tranquil pine]

he havent done differential equations yes

so thats out of the way

anyway

thanx for clearing it out for me

have a great day ahead

,close

.close

[final saddle]

Channel closed

Closed by @coral arrow

Use .reopen if this was a mistake.

[final saddle]

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.

[subtle urchin]

sin(32) + sin(28) = cos(2)

[subtle urchin]

how to prove this identity

[spring haven]

i'm assuming that these angles are in degrees?

[subtle urchin]

yes

[spring haven]

okay

try writing sin(32) as sin(30+2) and sin(28) as sin(30-2)

(The reason is that we know the value of sin and cos at 30 degrees, so we're hoping for some sort of simplification)

[subtle urchin]

okay

oh

then using identity sin(a+b) and sin(a-b)

[spring haven]

yes

[subtle urchin]

yes that worked

thanks

.solved

[final saddle]

Channel closed

Closed by @subtle urchin

Use .reopen if this was a mistake.

[final saddle]

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.

[steep ivy]

Pls explain this question steps

[final saddle]

@steep ivy Has your question been resolved?

[steep ivy]

❌

No

[final saddle]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[final saddle]

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.

[hollow shard]

Potentially stupid question but i was under the impression that this graph is supposed to approach -9?

[blissful meadow]

Well it’s exponential with a base > 1 so it has to blow up

It approaches -9 in the negative limit

[hollow shard]

wdym "blow up"

[blissful meadow]

Goes to Infinity for large x

[hollow shard]

Wait im confused why is there even an asymptote there

[drowsy epoch]

An exponential function a^x goes to 0 as x approaches -infinity, so here in principle the 1/3 * 3^(x+2) goes to 0 for very small x and what remains is the -9 as the limit

[hollow shard]

Then where would the asymptote be if it goes to 0?

That wouldnt be an asymptote if its defined there no?

[drowsy epoch]

i kinda dont get what you mean...

[hollow shard]

Like for 1/x

there is an asymptote there since 0 can not equal 1

OH WAIT

is it just saying the equation will never reach zero?

Since a^x is never 0?

[drowsy epoch]

erm

a^x is never 0 correct

but for very small x you a^x -> 0

so the limit would be 0-9 = -9

here

[hollow shard]

But i thought a limit would usually indicate what it APPROACHES but never actually gets to

[drowsy epoch]

yes

it will never touch the asymptote y = -9

that's why it's an asymptote

a line it approaches but never reaches

[hollow shard]

Thats what i thought too

but like

[drowsy epoch]

not true

algebraically there are no solutions

[hollow shard]

then why is it showing me that 💀

[drowsy epoch]

it seems that it's rounding

Try to solve it

[soft zealot]

bacc (unhelpful)

[hollow shard]

Well I figured it was -9 but i was just REALLY confused why it was showing me that as an asymptote

i thought i had my definition of an asymptote wrong

[drowsy epoch]

You end up with 3^x = 0 which is impossible

https://www.desmos.com/calculator/ciqsimsire

[hollow shard]

correcto

I hope you see why im confused now

because even on the graph you jsut sent its still rounding and telling me that they should coincide

it also does this when i plug in -25

[blissful meadow]

One thing that it shows you though is how fast the exponential decays when you go left. In only 20 ish units to the left Desmos considers that the answer is so close to 0 that it is 0

[drowsy epoch]

try to zoom

you will always find a small gap

[hollow shard]

Which is not true tho correct?

[drowsy epoch]

between the asympote and the function

[hollow shard]

I see that which is honestly even more mind boggling

[drowsy epoch]

especially because it's strictly increasing

[hollow shard]

i feel like if i zoomed it would self correct

[drowsy epoch]

computers

they are limited regarding memory and stuff, so at some point they stop calculating and round

[hollow shard]

its interesting that it stops so early though

[drowsy epoch]

i mean

yea

[hollow shard]

for this one, why is it at -8?

[drowsy epoch]

they fall down as they grow fast

[hollow shard]

I thoguht it would be at positive 8

[drowsy epoch]

how do you come up with -8?

[hollow shard]

The y intercept

[drowsy epoch]

what does it have to do

with the limit as x approaches infinity

[hollow shard]

approach 8?

[drowsy epoch]

Now you have an exponential function whose base is smaller 1 so that goes to 0 for large x

[drowsy epoch]

yes

you can basically see it

if you also plot y=8

[hollow shard]

why wouldnt the y intercept be at plus 8 tho?

since it adds 8

[drowsy epoch]

what about the other term if x=0

[hollow shard]

it would become positive

[drowsy epoch]

u sure?

-2 * (1/2)^(-3)

[hollow shard]

it would be -2(8)?

[drowsy epoch]

which is -16

[hollow shard]

oh wait it would be uhm

[drowsy epoch]

and now

-16+8?

[hollow shard]

ah

-8

ur better at explaining it to my teacher

She has a strong russian accent and she has a tendancy to dumb stuff down

and its to a point where its just

wtf

[drowsy epoch]

well teacher and tutor are again two different things but yea

[hollow shard]

Idk sometimes i wish i could have a more personal experience with teachers so that they could better understand my level

[drowsy epoch]

well it's hard considering you are not the only one

in class

[hollow shard]

Like im starting to research calc jsut because im really interested in it and i asked her a question and she practically bit my head off for it

[hollow shard]

I mean i get it

.close

[final saddle]

Channel closed

Closed by @hollow shard

Use .reopen if this was a mistake.

[final saddle]

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.

[green onyx]

Trying to make sure my answer is right

I got 204

I did For n = 9:

a_9 = 12 + (9 - 1) * 24 = 12 + 8 * 24 = 12 + 192 = 204 feet

[final saddle]

@green onyx Has your question been resolved?

[green onyx]

.close

[final saddle]

Channel closed

Closed by @green onyx

Use .reopen if this was a mistake.

[copper abyss]

I don’t think that’s the correct answer 🥲

I got 200 , not 204

[thorn elbow]

204 is correct

12+24(n-1)

[final saddle]

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.

[distant snow]

How do i find the y intercepts? I have the asymptotes idk if that helps

[distant snow]

For b)

[south whale]

Y intercept means when the graph intercepts y axis

[distant snow]

So make x = 0?

[south whale]

Yup

[distant snow]

Ohh ok thanks

Appreciate it

[south whale]

No worries

[distant snow]

.close

[final saddle]

Channel closed

Closed by @distant snow

Use .reopen if this was a mistake.

[final saddle]

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.

[compact canopy]

Could someone check if this is right?

[warm ether]

how do you propose doing partial fractions on 4

[compact canopy]

i thought that cus the num < dom

so it could work

but im not sure

[warm ether]

i dont believe so

the denom isnt factorable

[compact canopy]

ah

could this be then done by trig?

cus of x^2?

but that's also not part of the identities

[warm ether]

trig can work yeah

since we could get it to look like 1/(1+x^2) we can pull out something tan related

[compact canopy]

that is true

do they others look fine?

[warm ether]

i see no real issue with them

[compact canopy]

i was not sure about the 3 and 4th ones

thanks

.solved

[final saddle]

Channel closed

Closed by @compact canopy

Use .reopen if this was a mistake.

[final saddle]

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.

[slow gull]

.close

[final saddle]

Channel closed

Closed by @slow gull

Use .reopen if this was a mistake.

[final saddle]

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.

[amber portal]

One message removed from a suspended account.

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[wheat escarp]

the derivative of 1/sin5 x - the derivative of cos3 x, then I would use chain rule

did you did something similar?

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

Lock in

[rocky tusk]

which one

lock in kenzo

[amber portal]

One message removed from a suspended account.

[rocky tusk]

power rule and chain rule

[amber portal]

One message removed from a suspended account.

[rocky tusk]

huhhh

[rocky tusk]

yuh

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

nah i can’t be bothered

that’s just a horrendous idea i can’t lie

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

yes

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

Nah man try protect rule

You got it for sure

[rocky tusk]

💯💯

[amber portal]

One message removed from a suspended account.

[rocky tusk]

🙏🏻🙏🏻

[amber portal]

One message removed from a suspended account.

[rocky tusk]

propus knows best

[amber portal]

One message removed from a suspended account.

[rocky tusk]

yea

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

🤔🤔

[karmic kindle]

Rewrite in good notation

[rocky tusk]

(sin(x))^-5

[karmic kindle]

Ye

always rewrite it like that

So you can see inside function

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

Ye what’s the inside function

[amber portal]

One message removed from a suspended account.

[karmic kindle]

You moved the -5 down

From what function

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

Btw just write it like -5(sinx)^-6

So you can easily see the inside function

[karmic kindle]

No

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

P sure you said all possible things that aren’t the answer

Only one left to guess

[amber portal]

One message removed from a suspended account.

[karmic kindle]

Yesssszzz!!!

[amber portal]

One message removed from a suspended account.

[rocky tusk]

kenzo

differentiate (4x-3)^-5

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

😭😭🙏🙏🙏😹😹

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

🙏🏻🙏🏻🙏🏻😂😂😭

cooked

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

💀💀💀

[karmic kindle]

I mean you just dropped the negative

It was -5

But atleast if it was positive 5

You would be right

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

https://tenor.com/view/dritan-dritanalsela-coffee-barista-duesseldorf-gif-14012086

[karmic kindle]

Forgot -6

But ye

[rocky tusk]

he used division though

[karmic kindle]

Oops

Didn’t see division

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

You’re right

Good work man

Now apply same principle to your problem

[amber portal]

One message removed from a suspended account.

[karmic kindle]

Just do the problem lil bro😹🙏

[rocky tusk]

https://tenor.com/view/french-fries-potatoes-mcdonalds-super-size-commercial-gif-17530842

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[karmic kindle]

❤️❤️

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

🔥🔥

[karmic kindle]

Ok you can do rest now

It’s the exact same thing

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[final saddle]

Channel closed

Closed by @amber portal

Use .reopen if this was a mistake.

[final saddle]

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.

[plain star]

what's a general form of a polynomial in P_4(F)

[warm python]

I feel this isn't even a vector space in the first place

[plain star]

go on

give me x, y \in U s.t x + y \notin U

or \exists c \in R

s.t cx \notin U

[warm python]

$(x-6)^2+6;-(x-6)^2+6$

[soft zealot]

A dense set

[plain star]

that gives you 12

recall the definition of P_4

[warm python]

The set of a all polyonomials of degree less than or equal to 4

[plain star]

in the case of 12

we have deg 0

[warm python]

yes

[plain star]

so is that not in the set?

[formal trail]

neither of those satisfy p(6) = 0

[warm python]

oops

yeah

my bad

[plain star]

^^

[warm python]

Okay, so it's a vector space.

Let's see

[plain star]

find a basisss

[warm python]

So I need the following polynomials in my basis

$1,(x-6), (x-6)^2,(x-6)^3,(x-6)^4$

[soft zealot]

A dense set

[grim nebula]

1 is not 0 at 6

[warm python]

This is a basis as every linealy independent list of the right length can act as a basis for a given vector space

hmm

but 0 cannot be part of the basis

[grim nebula]

you don't know the dimension of U, so that argument cant work

you do know that a LI set of length 5 will span all of P_4(R) though

[warm python]

I mean , I do

I know the dimension of $P_4(\R)$

[soft zealot]

A dense set

[grim nebula]

but U is not P_4(R)

[warm python]

so the dimension of this is at most 5

[plush quiver]

It's a proper subspace

[warm python]

yeah

[plush quiver]

So the dimension has to be strictly smaller

[grim nebula]

U has dimension <= 4

[warm python]

yeah

So a basis would be $(x-6), (x-6)^2,(x-6)^3,(x-6)^4$

[soft zealot]

A dense set

[grim nebula]

what is your proof

[warm python]

Well, we know for sure that the space contains (x-6), (x-6)^2,(x-6)^3,(x-6)^4

and that all linear combinations of them must also belong in the space by definition

[grim nebula]

the part you should explain is why this set is LI

it shouldnt be a very long explanation but you should briefly justify it

[warm python]

Using the definition of linear independence, $a(x-6)+b(x-6)^2+c(x-6)^3+d(x-6)^4=0$, it's trivial to verify that all the coefficents must be zero

[soft zealot]

A dense set

[grim nebula]

is it trivial?

do you know why?

[warm python]

yes

[grim nebula]

and can you explain it?

[warm python]

The only way for dxx^4 to be 0, is for d to be 0

similalry for cx^3, bx^2, ax

[grim nebula]

okay

so you should at least say that, rather than saying "its trivial to ..."

because nobody wants to read that

[plain star]

I mean that's eveyr math textbook

[grim nebula]

yeah and thats bad writing

[warm python]

Though there is a lemma I've used here that I'm yet to prove

[cyan kayak]

The only time things are actually trivial are when you don't feel the need to mention the fact that they are trivial

[grim nebula]

theres that, and theres also using "this is trivial" to hide the fact that you don't actually understand something

every time you claim something is trivial, you should be able to provide a proof immediately

[cyan kayak]

So, let's consider polynomials of at most degree 4 which have at least one root at 6.

Would this not be (x-6)(ax^3 + bx^2 + cx + d)? @warm python

[final saddle]

@warm python Has your question been resolved?

[warm python]

Yes

[warm python]

But(x-6) (ax^3 +bx^2+cx+d) can be written as a linear combination of $(x-6),(x-6)^2,(x-6)^3,(x-6)^4$

[soft zealot]

A dense set
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[warm python]

okay, have a class now, gtg

sorry

.close

[final saddle]

Channel closed

Closed by @warm python

Use .reopen if this was a mistake.

[final saddle]

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.

[amber portal]

One message removed from a suspended account.

[amber portal]

One message removed from a suspended account.

[rocky tusk]

yep

[amber portal]

One message removed from a suspended account.

[rocky tusk]

$\frac{ds}{dt} = -\sin(\theta) \frac{d\theta}{dt}$

[soft zealot]

knief

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

no

because theta is a variable and we’re differentiating dt

theta changes as a function of t

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

you’re multiplying by the derivative of theta dt

which is dtheta / dt

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

same way derivative of s dt is ds/dt

[amber portal]

One message removed from a suspended account.

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

they told you

dtheta/dt is 5

[amber portal]

One message removed from a suspended account.

[rocky tusk]

for theta yes

[amber portal]

One message removed from a suspended account.

[rocky tusk]

oh brother

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

it’s not a fraction sir

[amber portal]

One message removed from a suspended account.

[rocky tusk]

dtheta doesn’t have a singular value

neither does dt

it’s notation

perhaps you’d prefer

$s’ = -\sin(\theta) \theta^{\prime}$

[amber portal]

One message removed from a suspended account.

[soft zealot]

knief

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

huh

no

theta is 3pi/2

theta prime is given

it’s 5

[amber portal]

One message removed from a suspended account.

[rocky tusk]

alex is confused asf rn

like where tf is theta prime given

💀💀💀

[amber portal]

One message removed from a suspended account.

[rocky tusk]

he sent me the problem in a dm

[amber portal]

One message removed from a suspended account.

[rocky tusk]

oh

[soft zealot]

Alex

LaTeX source sent via direct message.

[rocky tusk]

nevermind

dude just sent this junk here

[amber portal]

One message removed from a suspended account.

[rocky tusk]

get out boss

leave

🚪

👉🏻🚪

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

💀

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

^

[amber portal]

One message removed from a suspended account.

[rocky tusk]

^

[amber portal]

One message removed from a suspended account.

[rocky tusk]

it’s notation to denote an operation

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

hence why i wrote this

[rocky tusk]

derivative

it’s not a fraction

[amber portal]

One message removed from a suspended account.

[rocky tusk]

with a numerator value and denominator value

[rocky tusk]

there is no ds

[amber portal]

One message removed from a suspended account.

[rocky tusk]

there’s ds/dt

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

think of it like dy/dx

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

we don’t treat dy and dx as independent quantities

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

sin(3pi/2) = -1

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

we get the other -1 from derivative of cos

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

yes

[amber portal]

One message removed from a suspended account.

[rocky tusk]

^

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

no

[rocky tusk]

$s’ = -\sin(\frac{3\pi}{2}) \cdot 5$

[soft zealot]

knief

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[rocky tusk]

bro has eyebags

[amber portal]

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

One message removed from a suspended account.

[final saddle]

Channel closed

Closed by @amber portal

Use .reopen if this was a mistake.

[final saddle]

Available help channel!

Send your question here to claim the channel.

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

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

[pastel bobcat]

Can someone explain to me how the (1/5) got the to top part and became 5?

[pastel bobcat]

Forgot about this part of mahts....

[royal swan]

The 1/5 in denominator went to numerator actually, so
1/(1/a) = a

To understand it you can multiply a in numerator and denominator

(1×a)/(1/a)×a
a will be cancelled in denominator and you will be left with 
a/1 = a```

[pastel bobcat]

Oh ok

So anytime there is a fraction with 1 as the denominator I can just move the fraction up and discard the numerator right?

[royal swan]

Yeah yeah a/1 is nothing but a

[pastel bobcat]

Ok!

So just inverse the fraction and move up

[royal swan]

Yes if you have a fraction in denominator, you can reverse and bring it in numerator, for an example
1/(a/b) can be written as b/a

[pastel bobcat]

Ok! Thanks!

[rocky tusk]

you’re welcome

!done

[final saddle]

If you are done with this channel, please mark your problem as solved by typing .close

[pastel bobcat]

.close

[final saddle]

Channel closed

Closed by @pastel bobcat

Use .reopen if this was a mistake.

[royal swan]

[pastel bobcat]

That is mean lol

[rocky tusk]

what can i say, i put a lot of effort into making sure the helpees get the help they need

[royal swan]

Totally agreeable

[rocky tusk]

thunder is my guy

dw

[limpid egret]

[final saddle]

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.

[jagged flare]

not sure if i should ask here, but any good sources for induction questions that are like this level?

[jagged flare]

or if you have any questions around that i would appreciate if you send it here

.close

[final saddle]

Channel closed

Closed by @jagged flare

Use .reopen if this was a mistake.

[final saddle]

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.

[trim mica]

same question i asked, i tried turning this equation into the definition of deveritive, like (sin(ln(e+h)) - sin(ln(e)))/(ln(e+h) - (ln(e))) = ddx sin(ln(x)), where x = e, but then after differentiate it, it is cos1 x 1/e ? how is this cos 1

[final saddle]

Please don't occupy multiple help channels.

[trim mica]

please dont use lhopital rule

[final saddle]

@trim mica Has your question been resolved?

[trim mica]

<@&286206848099549185>

[cobalt topaz]

?

[trim mica]

idk hwo how to do

[pure lodge]

the problem is with the derivative

you're supposed to differentiate with respect to the ln{x}

[trim mica]

so dy/d(lnx)?

[pure lodge]

yup

[trim mica]

can i know why?

[pure lodge]

since the denominator is ln{x+h}-ln{x}
and from the definition of derivative that thing is what you differentiate with respect to

[trim mica]

so denominator can only be a variable like u = lnx, anything that isnt cannot? like ln sin etc

[final saddle]

@trim mica Has your question been resolved?

[final saddle]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[final saddle]

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.

[warm python]

(b)

$\beta = {6,(x-6),(x-6)^2,(x-6)^3,(x-6)^4}$

[soft zealot]

A dense set

[amber holly]

That doesn't look like a basis of U

6 = 0?

[warm python]

for (b)

[amber holly]

Ah

[warm python]

Who is blake?

[amber holly]

Yeah looks good then

It's snow

[warm python]

$W = { \lambda 6 \mid \lambda \in \R}$

[soft zealot]

A dense set

[warm python]

Cool

🙏

.close

[final saddle]

Channel closed

Closed by @warm python

Use .reopen if this was a mistake.

[warm python]

thanks !

.reopen

[final saddle]

✅

[warm python]

(a)

[amber holly]

Any progress?

[warm python]

So The set of polynomials less than or equal to degree 4, except for second degree polynomials

so like $(x-6)^2 \notin U$

[soft zealot]

A dense set

[warm python]

so a possible list of linearly independent vector would be ${1,x ,(x-6)^3, (x-6)^4}$

[soft zealot]

A dense set

[onyx peak]

hmm, you sure?

[cyan kayak]

@warm python sorry I was asleep when you replied originally

I don't think your basis is going to work

[warm python]

hmm?

[cyan kayak]

And I don't think it's equivalent to my suggestion

[warm python]

,w is (x-6),(x-6)^2,(x-6)^3, (x-6)^4 linearly independent

[soft zealot]

Wolfram Alpha doesn't understand your query!
Perhaps try rephrasing your question?
Click here to refine your query online

Requested by physicsrocks

[cyan kayak]

Which was (x-6)(ax^3 + bx^2 + cx + d)

[warm python]

yes

just a minute

[cyan kayak]

You've been including constants in it, or am I wrong?

[warm python]

no?

just (x-6),(x-6)^2,(x-6)^3,(x-)^4

[cyan kayak]

Sorry this is a slightly different problem

Hmmm

[warm python]

(x-6)^2 when differentiated once is 2(x-6), differentiated again is 2

[onyx peak]

x^3 + 2x^2 + 3x + 2 also has a non-zero 2nd derivative at x = 6

[warm python]

sure

[cyan kayak]

So we have p''(6) = 0 implying that we have a 2nd degree polynomial of the form (x-6)(ax + b) = ax^2 + (b-6a) x - 6b

Then integrating twice will get the original form of the polynomial

[warm python]

,w x^3+2x^2+3x+2

[soft zealot]

Results provided by WolframAlpha

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

Requested by physicsrocks

[warm python]

ah

I just suggedted a basis

[warm python]

true\

[onyx peak]

nvm, i got it

[grim nebula]

this is your basis?

[warm python]

yes

I'll justify myself

[grim nebula]

seems fine to me

[final saddle]

@warm python Has your question been resolved?

[warm python]

As not every polynomial is such tha $p"(6)=0$ , it follows that $U \subseteq P_4(\mathbb{R})$. It thus follows $dim(U) \leq 5$. We now prove that no polynomial of degree $2$ belongs to this vector space. A polynomial of degree $2$ is of the general form $p(x)= ax^2+bx+c; a,b,c \in \R$, it then follows that $p"(x)=2a$, which is non-zero for $a \neq 0$. From this it follows that $dim(U) \leq 4$. We now attempt to find as many linearly independent vectors in $U$ as possible. One possible list is ${1,x,(x-6)^3,(x-6)^4}$. From which it follows that $dim(U) \geq 4$. From this we can conclude that $dim(U)=4$

[soft zealot]

A dense set

[warm python]

Is this fine?

[final saddle]

@warm python Has your question been resolved?

Channel closed

Closed by @warm python

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.

[faint monolith]

need help in solving unit direction vector n

[tranquil pine]

vector

[faint monolith]

yes

[tranquil pine]

1 internet bar

I cannot see anything 😭😔

It finally loaded

What have u tried

[faint monolith]

i tried comparing

but it doesnt work, when i sub back to equation

[severe canyon]

I would write n as (x, y, z) and solve

And also x²+y²+z² = 1

[faint monolith]

i tried

made it more confusing

[faint monolith]

is it 'illegal' to compare like this

<@&286206848099549185>

[final saddle]

@faint monolith Has your question been resolved?

[faint monolith]

.close

[final saddle]

Channel closed

Closed by @faint monolith

Use .reopen if this was a mistake.

[final saddle]

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.

[ivory jacinth]

A small uniform ball of radius r rolls without slipping down from the top of a sphere of radius R. Find the angular velocity of the ball at the moment it breaks off the sphere. The intial velocity of the ball is negligible.

[ivory jacinth]

Moment of inertia of a solid sphere is 2/5 MR^2

[spare hazel]

#old-network message

[cyan kayak]

my guess is we need to assume that the large sphere is stationary.

[ivory jacinth]

Initially, yes

[cyan kayak]

otherwise the answer would appear to be dependent on the masses of the two balls?

[ivory jacinth]

but eventually it'll move, right?

okay, let's make two cases

1. large ball doesn't move

2. large ball moves (masses known for this one, m and M respectively)

[cyan kayak]

so if the large ball moves, let's say it has a mass of M and the small ball has a mass of m.

[ivory jacinth]

can we solve the first case first

i believe it'd be simpler

[cyan kayak]

well, if you can just assign masses, then you probably should just do 2.

so angular momentum and linear momentum are conserved. So we know that the angular momentum at any time t will be equal to zero, and similarly for the linear momentum in the x direction.

[ivory jacinth]

How is linear momentum conserved

there's gravity

[cyan kayak]

in the x direction

[ivory jacinth]

oh alright

[ivory jacinth]

angular momentum is conserved when external torque is zero
there's external torque due to gravity (mgr)

well not initially

[cyan kayak]

hmm... good point.

[ivory jacinth]

but when it's begun to fall, it has been started

[cyan kayak]

so the point where the two spheres separate seems to be dependent on gravity. We can treat this as the acceleration due to gravity is less than the acceleration required to move a point along a sphere of radius r+R

I think

but my wife is home, so I gtg.

[ivory jacinth]

[final saddle]

@ivory jacinth Has your question been resolved?

[final saddle]

@ivory jacinth Has your question been resolved?

[tranquil pine]

Isn't it easier with energy

[ivory jacinth]

oh right, energy is conserved here

[final saddle]

@ivory jacinth Has your question been resolved?

Channel closed

Closed by @ivory jacinth

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 saddle]

@torpid flame Has your question been resolved?

[final saddle]

@torpid flame Has your question been resolved?

[final saddle]

@torpid flame Has your question been resolved?

[final saddle]

@torpid flame Has your question been resolved?

Channel closed

Channel closed due to the original message being deleted.
If you did not intend to do this, please open a new help channel,
as this action is irreversible, and this channel may abruptly lock.

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.

[faint monolith]

is the the second row correct

shudnt the last column be -4

[open minnow]

epi

epi

look at help 25

[raven sierra]

i was going to respond then i realized i have no idea how to do that LOL

[raven sierra]

i believe it should be -4, as well as some other columns not looking correct

for example 3 - 2*0 should be 3 not 1, in the column 1 left from the last column

[faint monolith]

theh correction in vid says it still becomes [0 1 1 0 1| 0] after operation

[crisp gate]

It should be -4 like epi said

[faint monolith]

oh ok

dumass vid trynna mislead

[crisp gate]

do you know why?

[faint monolith]

0 - 2(2)

[crisp gate]

yes!

[faint monolith]

ok thx for help

.close

[final saddle]

Channel closed

Closed by @faint monolith

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.

[hoary tapir]

is this assuming g(w) would be sin(w)? if so it would be A right?

[final saddle]

@hoary tapir Has your question been resolved?

[final saddle]

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.

[small finch]

help plss

[jade matrix]

Have U learnt about alternate angle theorum or whatever it called

[small finch]

yeah

[small finch]

why?

[final saddle]

@small finch Has your question been resolved?

[final saddle]

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.

[hexed kiln]

with 2ab, is it 2xaxb or 2xa + 2xb?

[raven sierra]

2*a*b

[hexed kiln]

so the first option?

[raven sierra]

yeah provided your x means multiply

2*a+2*b = 2*(a+b)

[subtle ginkgo]

2ab means 2 * a * b yeah

also should really use astericks instead of x's

[hexed kiln]

got it, thanks!

Have a great day/night

.close

[final saddle]

Channel closed

Closed by @hexed kiln

Use .reopen if this was a mistake.

[final saddle]

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.

[zealous storm]

this question doesn’t make much sense right?

shouldn’t it be “if at least one of the numbers is a 1”, no?

[trail mango]

[zealous storm]

hi

;3

[trail mango]

"one of the numbers is a 1" is an assumption, like in a conditional probability sense

so it's like

output 3 random numbers

[zealous storm]

yeah that makes sense but shouldn’t it be “at least one of the numbers is a 1”

i did the conditional probability and got 6/27

[zealous storm]

but assumed this in the process