help-27

[sinful dust]

u substitution is a method used to simplify your equation. For example, you probably don't know how to solve x^4 - 52x^2 + 576 = 0, so if you say, for example u = x^2, you can rewrite your equation as u^2 - 52u + 576 = 0. In this form it's easier to solve. Let me know if this made sense.

@tender saddle

[tender saddle]

yeah but why is u = x^2?

how do you know its that

[real grail]

because we know how to solve equations of type :
ax² + bx +c = 0

[sinful dust]

yes, I chose u=x^2 because I knew it generate a quadratic equation

[tender saddle]

so I just look for a way to make a quadratic?

[sinful dust]

yes

[tender saddle]

ah okay

[tender saddle]

ty

.close

[devout snow]

Channel closed

Closed by @tender saddle

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[left robin]

.

suppose a set M

[left robin]

with
|M|=n

prove that|Pot(M)|=2^n

via induction

so

starting with 0 we get
M=emptyset
|M|=0
Pot(M)={emptyset}=1=2^0=2^n

i am stuck on n+1

it says i can't use binomialcoefficient

i am given a hint though:
suppose a m in M and look at the subsets of M seperately that contain m and those who do not

the problem is that i don't know how to apply that hint

[devout snow]

@left robin Has your question been resolved?

[left robin]

<@&286206848099549185>

.close

[devout snow]

Channel closed

Closed by @left robin

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.

[thin gulch]

how do i multiply 4x(-2) with counters

[left robin]

what do you mean with counters?

[thin gulch]

the yellow and red chips

[left robin]

?

i can't quite follow

[thin gulch]

this

[left robin]

4x(-2)

red=-1
-2=2x(-1)=2xRed

therefore
4x(-2)=4x2xRed=8xRed

i guess

[thin gulch]

can you draw that

[kindred agate]

what grade are you in

jesus

[thin gulch]

grade 8

it’s 4 groups with 2s in them idk what to do next

[kindred agate]

jesus education standards have gotten low

[thin gulch]

icon

cool

what do i do tho

[thin gulch]

my school is behind cuz of covid is what my nan said

[kindred agate]

schools are 5 grades behind bc of covid damn

[thin gulch]

what 😭

do you know how to help me

[kindred agate]

yes

you add 8 counters of -1

done

[thin gulch]

how do i do -4 x (-2)

ik it’s 8 but idk what to do

i’ll just do the answer and make up my own counters

yk

nvm i got it

.close

[devout snow]

Channel closed

Closed by @thin gulch

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.

[midnight bane]

so

you can multiple the roots together as factors then plug in the y intercept to find the a value

[night gust]

yeah but what do ipug them into

[midnight bane]

the roots as factors would be x+1.6 and x+3.2

Now multiply them together

Get a quadratic form

[night gust]

so like (x+1.6)(x+3.2)?

[midnight bane]

Then solve for a which is the coefficient of the x^2 term

yesA

or

You can find a first

Then you dont need to multiply the factors

Thats probably better

[night gust]

how do i find a?

[midnight bane]

y=a(x+1.6)(x+3.2)

a is the stretch factor

And i just realised the first doesn't work

because stretch factor is different from the coefficient of the x^2 term

[night gust]

i got x^2 +4.8 + 5.12?

[night gust]

would a be 1

[midnight bane]

if that's what you got yes

which just means no stretch factor

[midnight bane]

And this is correct

[night gust]

says its wrong?

??

so i just keep plugging it in?

[midnight bane]

That's what you just did and you got 1 right

[night gust]

does it want me to plug this in??

should i do
25.6=0^2 + 4.8(0) +5.12? thats just false thouhg. unless i leave x as x????

<@&286206848099549185>

[devout snow]

@night gust Has your question been resolved?

[night gust]

.close

[devout snow]

Channel closed

Closed by @night gust

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[restive river]

What is that number of left side of sigma denotes??

[restive river]

1/N

where N is the upper bound of the sigma notation

[neon aspen]

Is N supposed to have a physical meaning?

[restive river]

I meant should I divide the sum by 1/N to get answer?

[neon aspen]

Answer to what question

[restive river]

youre dividing by N

multiplying by 1/N

K my bad multiply

So it's just that I have to multiply after finding sum?

[neon aspen]

Is this from a physics question

[restive river]

Yes

looks like the thing is just saying that the average of all velocities indexed by the set N is 0

or the average velocity is just 0

initial velocity

K

[neon aspen]

Conservation of momentum?

Also is this physics at university

Sorry I don't mean to sound obsessed with physics haha

[restive river]

Nah total v of electrons after colliding

In absence of EF

[neon aspen]

I see

This is uni level yeah?

[restive river]

+2

[neon aspen]

Wdym

[restive river]

I meant 12th class

.close

[devout snow]

Channel closed

Closed by @urban mountain

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[restive river]

From which eq did they derive marked eq?

[main gull]

I'm assuming from F = ma where F = -eE

[restive river]

How u got F=-eE

[main gull]

It was probably derived previously in the book

[restive river]

Is charge * MF = force?

[main gull]

What's MF?

Magnetic field?

[restive river]

Magnetic field

[main gull]

Pretty sure E is electric field

[restive river]

K

[main gull]

That's the unit for temperature, Kelvin

[restive river]

Now I got it F=qE

.close

[devout snow]

Channel closed

Closed by @urban mountain

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.

[clear fulcrum]

can you multiply binomials without an area model

[devout snow]

@clear fulcrum Has your question been resolved?

[clear fulcrum]

<@&286206848099549185>

hello

[clear fulcrum]

⬆️

[hybrid snow]

Wdym area model

[patent marsh]

do you mean like this?

is that what you mean by area model?

[hybrid snow]

Oh that's

Yeah there's a thing called FOIL

takes less space than those models but eliminates the direct visual appeal

You definitely can

Introducing "AB AbBa ab"

The new thing you'll hate

At least it's easy to memorize 💀

[patent marsh]

yeah FOIL is very crucial to learn!

here's a really good example here too

[hybrid snow]

FOIL goes hard

[clear fulcrum]

yes

thank you

.close

[devout snow]

Channel closed

Closed by @clear fulcrum

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[sand junco]

Sketch the region defined by the inequality Re(𝑧)<Im(𝑧).

[sand junco]

i cant wrap my head around this :(

[sonic smelt]

On an xy plane that would look the same way as x < y

[sand junco]

oh

why tho

[sonic smelt]

x represents the real part and y represents the imaginary part

[sand junco]

OHHHHHHHHH

I GET IT

THE Y VALUE IS ALWAYS GREATER THAN THE X

thanks

.close

[devout snow]

Channel closed

Closed by @sand junco

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[graceful lava]

when calculating stuff like this how do we know what x is

for example would it only be valid for x or would it be valid for x + 3 too

and then what if the x also has 2 nested exponent etc

how is it possible to even remember this

[crimson hamlet]

u dont need to remember it

first convert the b^x into e

so e^xln(b)

then differentiate it

[graceful lava]

any other useful stuff like this?

[crimson hamlet]

ln is simply log with base e

when the base and the angle of the log are same the ans will be 1

ln (e) = 1 can be written as e¹ = e

[devout snow]

@graceful lava Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[subtle agate]

For example if (x+y)^3=100 can I just take the cube root of it or do I have to foil it out?

[lean musk]

you can just cube root both sides

[subtle agate]

Pk thank you

.close

[devout snow]

Channel closed

Closed by @subtle agate

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.

[ancient owl]

Find the formula for the Nth pattern--> 9(9)+7=88; 98(9)+6=888; 987(9)+5=8888\

[ancient owl]

I've got the solution, i dont get it, a little explanation would help. Thanks!

[devout snow]

@ancient owl Has your question been resolved?

[ancient owl]

<@&286206848099549185>

[ancient owl]

.close

[devout snow]

Channel closed

Closed by @ancient owl

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[spare abyss]

I need to find out how much space the cube is taking up in the sphere

With an equation using X for one of the cubes sides

[real grail]

what about the radius of the sphere ?

[spare abyss]

Don’t know it

Need to find out using the Pythagorean theorem twice

To get the diameter then divide it in two to get the radius

But after that I’m kinda stuck since he wants us to only do it in one equation

[real grail]

ahh I get it now

[spare abyss]

yea I've been stuck here for a while

[real grail]

it's sample

[spare abyss]

?

[real grail]

but hard to explain

[spare abyss]

kk

[real grail]

without drawing it

[spare abyss]

i see

[real grail]

the diametre = x* sqrt(3)

[spare abyss]

yea

i got that

but now how do i continue the equation?

in our math books this is how it says you find the spheres volume

[real grail]

r = diameter /2

[spare abyss]

yea but how do i do that in an equation

[real grail]

volume of sphere - volume of the cube

[spare abyss]

kk

we have that

[real grail]

actually you already have it

isn't the cube take X^3 ?

[spare abyss]

is ^3 the power of 3

[real grail]

actually we don't need to calculate the volume of the sphere

[spare abyss]

?

[real grail]

yeah

[spare abyss]

we dont?

[real grail]

since the question is "how much space the cube is taking up in the sphere"

the volume of the cube is the volume is taking up in the sphere

[spare abyss]

no... the answer needs to be in rational numbers.

for example like this

im trying to show pi/6 thats the answer for a similar question

the answer needs to be in rational numbers which is what makes it so difficult

do you understand at all?

or am i making no sense

[real grail]

I think that the question you want to ask is "The percentage of what the cube takes up from the sphere ".

[spare abyss]

yea.

im sorry this is hard since the question is written in swedish

so im having to translate a bit

[real grail]

the rest is easy

just find the volume of the sphere

V(sphere) = 4 * pi * (Xsqrt(3)/2)^3
= (4 * pi * X^3 * 3sqrt(3))/8

[spare abyss]

Is this what you mean?

[real grail]

yeah

[spare abyss]

how do you even begin to solve that? since this is supposed to end with like: V cube/ V sphere

.close

[devout snow]

Channel closed

Closed by @spare abyss

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.

[signal robin]

Yo I need help

[long sundial]

send q

[signal robin]

I have to find an equation of Ta

And then deduct f'(0)

[long sundial]

what have u tried?

[charred abyss]

do you know that second function?

[long sundial]

u dont need to, this is from a question where you are required to approximate the derivative using a tangent

[signal robin]

I've tried f'(0)(x-0)+f(0)

But

Idk f'(0)

[charred abyss]

yes I know but if you knew that function it would be easier

[long sundial]

you dont need to use that

you can see 2 points that the tangent goes through

[signal robin]

So I found f'(0)x+2

[long sundial]

this will allow you to find the equation of the tangent

[signal robin]

(f(b)-f(a))/(b-a) ?

[long sundial]

yeah but in this case f(x) is the curve not the straight line so use a different name for it like g(x)

[signal robin]

I mean it's the formula soo idk

[real grail]

choose two point from (TA) to find his equation ?

[signal robin]

Alright lemme try

[long sundial]

yea

[long sundial]

you can see two points on the graph that Ta goes through

[signal robin]

I found Ta=-x+2

Because I have (2-0)/(0-2)=-1

And g(0) is 2

So -x+2 ?

[charred abyss]

yeah but you could find it more easily

you know the intersections

[real grail]

correct

[long sundial]

nice so you have got the gradient

gradient of a tangent is the gradient of the curve at that point

[signal robin]

Ok now how do I deduct f'(0) ?

I have no idea

[long sundial]

say i had the value of f'(0) and I wanted to find the tangent to f at 0

the tangent is: y= mx+c

c is our y intercept

what is m?

[signal robin]

-1 ?

[long sundial]

yes but geometrically what is m

[signal robin]

Idk

[long sundial]

it's the gradient of a line

if the curve is y=mx+c then c is the y intercept (at x=0 y=c) and m is the gradient

f'(x) measures the gradient

so if we are finding the tanget at 0 then m=f'(0)

[real grail]

$f'(0) = \frac{f(x)- f(0)}{x - 0}$

[woven radish]

Mehdi_Moulati

[long sundial]

so in reverse what is the value of f'(0)

[long sundial]

the function is a curve not a straight line so this only gives the gradient of the secant

[signal robin]

I don't have f(x)

[real grail]

this is the definition of the derivation

[signal robin]

The gradient is -1

[real grail]

if you use it in the TA it will give you the same result (-1)

[signal robin]

So f'(0) is -1 ?

[real grail]

yeah

[signal robin]

Alright thank you so much

[real grail]

👍

[signal robin]

Now I go sleep , good night brother

.close

[devout snow]

Channel closed

Closed by @signal robin

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 zephyr]

i need help with this

[tawdry zephyr]

so what i did was i said both are =y so they are = to each other then i use calculator and got x=-1,89

<@&286206848099549185>

[devout snow]

@tawdry zephyr Has your question been resolved?

Channel closed

Closed by @tawdry zephyr

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.

[red cypress]

Fx= e^x cosy
Fy= e^x siny
im having trouble finding the antiderivative of each with respect to x and y

[long kettle]

What have you tried

[red cypress]

well for the first one, e^x cosy, in terms of x

well im not sure if i take the anti derivative of cos in this case, since its cosy and i find the antiderivative w.r.t. x

am i overthinking this

[long kettle]

If x and y are both independent variables, then y can be treated as a constant w.r.t. x

[red cypress]

so would i get e^x siny? sorry still unsure

[long kettle]

Why did cosy become siny?

[red cypress]

*-e^x siny

[long kettle]

You're integrating with respect to x

[red cypress]

oh shit

[long kettle]

cosy is not cosx

[red cypress]

youre right

so it remains e^x cosy

[long kettle]

Don't forget to add a "constant"

Since y is being treated as a constant, any function of y will do

So instead of + C, you'd add + g(y)

[red cypress]

i see

nvm

i was fine with integration up until i had to integrate w.r.t. x,y,z

Fy= e^x siny would be.. -e^x cosy with respect to y?

[long kettle]

Don't forget it's an indefinite integral

[red cypress]

ah sorry, this just part of a larger problem, i just needed to figure out how to integrate w.r.t., i got the rest from here!

.close

[devout snow]

Channel closed

Closed by @red cypress

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[devout snow]

@devout shore Has your question been resolved?

[devout snow]

@devout shore Has your question been resolved?

Channel closed

Closed by @devout shore

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[zenith sentinel]

need help w this one

[real grail]

A\B = (A or B) - B - (A and B)

B\A = (B or A) - A - (A and B)

[stone stump]

assume there is an element x in AnB

what can you say about x and the two sets in question?

[zenith sentinel]

that x must exist in both sets

?

[stone stump]

well in both or in neither

[zenith sentinel]

why neither?

do we not assume it to be in A n B?

[stone stump]

I mean just theoretically. either it is in both or it is in neither

[zenith sentinel]

oh ok

yh i see

[stone stump]

but what can't happen is that it is in one of them but not the other

[zenith sentinel]

yh since it is a intersection

so then how do i proceed?

<@&286206848099549185>

[stone stump]

well is x in the LHS?

is x in the RHS?

[zenith sentinel]

x can be in the right hand side assuming its present but cannot be in the left hand side?

[stone stump]

yes. why?

[zenith sentinel]

this is because on the left hand side (A \ B) means "in A not in B and (B\A) means "in B not in A" but since we assume x to be in sets A and B this is contradicting

but for the right hand side A u B will return x since its just applying "in A or in B"

is that true?

[stone stump]

yes

not the best wording but yes

[zenith sentinel]

ah ok thank you ill improve my explanations

.close

[devout snow]

Channel closed

Closed by @zenith sentinel

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 gull]

i have x + y + z = 1,000,000

then I have .02x + .03y + .04z = 34,000

then I have 4x = y

this should be pretty straightforward, but i'm getting confused, any help would be great

[restive river]

oh man, that looks confusing asffff but lemme see.

[rotund gull]

https://www.youtube.com/watch?v=0JQeo0yC9OQ&t=142s

<@&286206848099549185>

solved it

.close

[devout snow]

Channel closed

Closed by @rotund gull

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.

[visual flicker]

Find or tho center of triangle with points A(2,6) B(8,6) and C (6,2)

[compact birch]

whats the question?

find or tho?

[real grail]

the center is $(\frac{Ax+Bx+Cx}{3},\frac{Ay+By+Cy}{3})$

[woven radish]

Mehdi_Moulati

[devout snow]

@visual flicker Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[flat elm]

anyone knows beams and forces?

[visual flicker]

That doesn’t work

[devout snow]

@flat elm Has your question been resolved?

[compact birch]

whats Mo

[tame palm]

Initial Moment

[devout snow]

@flat elm Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[tall geyser]

(evaluate the limit)

[tall geyser]

I'm not sure where to start

[compact birch]

use a table of values

try x = 0.01, 0.001, 0.000001, 0.00000000000001

[arctic field]

[compact birch]

what value does it approach?

[arctic field]

that's not really a formal method

[tall geyser]

i am not supposed to use a graphing calc

[arctic field]

you probably want to log the expression

[tall geyser]

(it's not "correct")

[arctic field]

and then apply l'hopitals

well

[tall geyser]

ok wait

[arctic field]

you might not need l'hopitals

[tall geyser]

so I'm at dy/y = (1+x^-1)

[arctic field]

dy?

[tall geyser]

logarithimic differentiation no?

[arctic field]

what's the derivative for

[tall geyser]

ln|y|

[arctic field]

oh hmm

i see what you're doing

seems backwards

[tall geyser]

wym

[bleak sun]

you could do e^xln(1+1/x)

[tall geyser]

hmm

[arctic field]

the limit doesn't evaluate to the logarithmic derivative

[arctic field]

this

[tall geyser]

wait i am confusion sry

what does the limit eval to then?

[tall geyser]

wait what am i trying to get from this

[bleak sun]

lim x-> 0 of xln(1+1/x)

then do

ln(1+1/x) / 1/x

l'hopital

[arctic field]

dont really need L'H for that

[tall geyser]

oh yeah that's what i did to arrive at dy/y = 1+ x^-1

and now I'm confused

[bleak sun]

where did the y come from

[tall geyser]

ln|y|

[arctic field]

why are you taking derivatives?

[tall geyser]

wait that's a really fucking good question

😭

[bleak sun]

id just listen to snow they seem smart lol

[arctic field]

can you see how this works?

[tall geyser]

oh yeah I have not learned how to do exp yet

I'm on L'hopitals rule so im assuming im supposed to do that

[arctic field]

exp is just e^x

[tall geyser]

oh

[arctic field]

i wrote it like exp because e^x would look ridiculous

[tall geyser]

ok now im even more confused

[arctic field]

so like

[tall geyser]

ok now i ge tit

[arctic field]

okay good

so then you just want to evaluate the limit in the exponent

so like

[tall geyser]

wait am I not just back to where I started?

[arctic field]

the log lets you bring down the power

[tall geyser]

ok yeah

[arctic field]

now you can do a bit of rewriting

[tall geyser]

and then l'hoptials?

[arctic field]

well you dont necessarily need it if you know growth hierarchy

[tall geyser]

ok i dont know that

[arctic field]

like

[arctic field]

something of that nature

[tall geyser]

wait so what you're saying is that one of the two terms is dominant?

[tall geyser]

(in this)

[arctic field]

well x -> 0+ is the same as 1/x -> infinity right?

so we can rewrite the limit with the substitution t = 1/x

[tall geyser]

oh this is true!

[tall geyser]

ok so the demoniator is the dominant term because it doesn't have the log around it?

[arctic field]

yes

[tall geyser]

so the limit is 0?

[arctic field]

that limit is 0

the original limit is not

because remember we put it all in the exponent of e^x

[arctic field]

here

[tall geyser]

ok yeah

[arctic field]

so what we actually have is e^0

[tall geyser]

oh so its just 1

[arctic field]

yep

[tall geyser]

dude I'm so sorry for being so difficult

😭

tysm

[arctic field]

np

[tall geyser]

.close

[devout snow]

Channel closed

Closed by @tall 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.

[kind wind]

how do i find the missing length

[kind wind]

i need it to figure out area

[pallid silo]

Your diagrams a bit unclear

[kind wind]

uh

[pallid silo]

Looks like you have the perimeter?

You should be able to solve for the length

2h + 2w = p

[kind wind]

2h + 2w = the missing side length?

[pallid silo]

What’s p

[kind wind]

perimeter?

[bleak sun]

the diagram is super unclear

[pallid silo]

Well you have height and perimeter

And your finding width

Which is your missing length

[kind wind]

this was the original question

[pallid silo]

Oh it’s not a square

[kind wind]

i need to find area

of the figure

[pallid silo]

Ok so the radius is 9m?

[kind wind]

yes

since its quarter circle

[bleak sun]

i dont think thats possible

[pallid silo]

Is perimeter given to you?

[kind wind]

no i did it myself

[pallid silo]

Well it could be any length

There needs to be something else

[kind wind]

idk

apparently its 3m

i dont get why

[bleak sun]

probably given in the question

[main gull]

Can you post a picture/screenshot of the actual question?

[kind wind]

oh wait i forgot to write a side length

my bad

[pallid silo]

Oh…

[kind wind]

this should be much better

[pallid silo]

Well you can get 3m from here

Wait that 9 is suppose to be x

Stupid mobile

One sec

[kind wind]

kk

[pallid silo]

Cause you know radius is 9m

[kind wind]

how did you know that it adds up to 12 because of the radius

[pallid silo]

Well the length is 12m

That’s given

And we know the radius is 9 m from the height

So the horizontal radius is also 9 m

[main gull]

The total length, the side of the rectangle and the radius, is 12

[kind wind]

oh

im so stupid

[main gull]

Because you know the total length and the radius, you can find the side of the rectangle

[kind wind]

yeah

ty

.close'

.close

[devout snow]

Channel closed

Closed by @kind wind

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[kind wind]

i need help again 😭

[wispy perch]

can someone help me please

[brisk totem]

you already have the formula in front of you, plug the coefficients for the quadratic into the quadratic formula

[main gull]

#❓how-to-get-help

[wispy perch]

I have the formula down and I plugged it in but I'm not sure on what to do after that

[visual flicker]

What did U get

From plugging it in

[main gull]

#❓how-to-get-help

[devout snow]

@kind wind Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[clever minnow]

Help using systems of equations

[clever minnow]

Can someone show me how to do it step by step

[topaz wedge]

augmented matrix

[ember palm]

We gotta use matrix method?

[topaz wedge]

you dont have to

[clever minnow]

elimination

[topaz wedge]

solve for x in terms of z using the second equation

plug this into the third equation

then solve it for y

[clever minnow]

Ok

Can you write it out and show me please ?

The problem

[topaz wedge]

no

[clever minnow]

Wow😹

[topaz wedge]

i believe in u

x + 3z = 9

cmon

[wooden wraith]

Nobody is going to do just do it for you lol

[topaz wedge]

solve for x

[wooden wraith]

Have you solved 2-variable systems before?

[clever minnow]

Ok ok I’ll be back if I have trouble

.close

[devout snow]

Channel closed

Closed by @clever minnow

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[green yew]

can plz someone help me in this maths plz?

[zenith jacinth]

induction maybe ?

and for alpha and beta, you take two cases to have a system i think

[uncut crow]

could also maybe try some sum of squares formula thing

square of (sum of first n positive ints) also has a nice formula

it’s the sum of the first n cubes

[zenith jacinth]

oh that

this one is good too

[uncut crow]

so it should just become subtracting a polynomial from another

[devout snow]

@green yew Has your question been resolved?

[green yew]

I am not getting it. Can you please do it for me ? pleaseeee

[charred adder]

rarely anyone will do stuff for you so you gotta learn it by asking questions

[green yew]

Can you say me what should I do in the first step for this question?

[charred adder]

look up they provided instructions try them out if they don't work ask again

[green yew]

ok

[green yew]

I did upto this. am I going in right direction?

[devout snow]

@green yew Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[stray nova]

Is this step necessary

I initially got In(3x)

[sinful gust]

ln(3x) = ln(3) + ln(x)
you should realize that differentiating this would not give you 1/(3x)

[devout snow]

@stray nova Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[royal aspen]

is (the sum of two numbers is 48. find the maximum product and the two numbers ) and (Find two numbers whose sum is 48 and whose product is a maximum) the same but phrased differently?

[royal aspen]

english isnt my first langauge so phrasing really kills me

[compact birch]

sounds right

[royal aspen]

oh thank you

[devout snow]

@royal aspen Has your question been resolved?

Channel closed

Closed by @royal aspen

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[pulsar ermine]

Is my solution the same as what the above solution is doing?

[devout snow]

@pulsar ermine Has your question been resolved?

[stone stump]

the second yes

the first no

to show that EuF=F, you need to take an element in EuF and show it is in F and you need to take an element in F and show it is in EuF

you did the second part (although you only said "trivially true" and didn't argue for it)

but you didn't do the other one

[devout snow]

@pulsar ermine Has your question been resolved?

[pulsar ermine]

I’m a bit confused? Did I first break down the cases that I need to show correctly which I denoted as (1) and (2)?

[pulsar ermine]

Am I not supposed to first take an element of E subset F and then show that it is also in EUF=F?

Is this what I need to show for the implication?

Would this be correct for showing (1)

[stone stump]

no

to show that A=B you need to take an element in A and show it is in B and vice versa

so here you need to take an element in EuF and show it is in F and then take an element in F and show it is in EuF

[stone stump]

yes like this

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[devout snow]

Please don't occupy multiple help channels.

[supple knot]

you have a channel already

.close

[devout snow]

Channel closed

Closed by @supple knot

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[tough shale]

I'm unsure how to do this question

[crisp turret]

the question states the income of money is constant and the interest rate is continuously compounded and that is impossible (as far as i know).

but the function in both cases diverges to infinity

[devout snow]

@tough shale Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[rapid panther]

Quick question. if the determination coefficient is 0.49 what would I say the model of the data is "good" or something else? or do I remove some more outliers to get it >0.50

[rapid panther]

would it be alright to remove the uk and finland as outliers?

[devout snow]

@rapid panther Has your question been resolved?

[polar bolt]

You can never just remove points for no good reason, no

[polar bolt]

And R^2 value doesn’t say anything about how good or bad your model is

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[grand dragon]

So I’m having issues with this problem. Let me show you guys my work too. I know one equation which is x+y=400 but I don’t really know if I’m sure about my other equation involving 9.65 and 6.50. Plus I’m unsure what to do with the value of 7.49 in the second equation. I attempted to do the work with the equation of 6.50x+9.65y=7.49(400) but I’m unsure if that is correct. When I tried it I got 404.8, which isn’t what I need. I need to get 400.

[devout snow]

@grand dragon Has your question been resolved?

[grand dragon]

<@&286206848099549185>

[devout snow]

@grand dragon Has your question been resolved?

[grand dragon]

.close

[devout snow]

Channel closed

Closed by @grand dragon

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[hasty falcon]

Hello, I need to find out if there exists some random variable independent from X~U(-1,1) such that X+Y~ 2Y. I should use characteristic functions.

[hasty falcon]

I tried in this way (sin t)/t * phi_{Y}(t) =phi_{X}(t)*phi_{Y}(t) = phi_{X+Y}(t) = phi_{2Y}(t) = \phi_{Y}(2t)

I valued the left side with k*pi for k=/=0, hence phi_{Y}(2kpi) = 0, it was an attempt to reach contradiction but it failed

$ \frac{\sin t}{t}\cdot\phi_{Y}(t)=\phi_{X}(t)\cdot\phi_{Y}(t)=\phi_{X+Y}(t)=\phi_{2Y}(t)=\phi_{Y}(2t)$

[devout snow]

@hasty falcon Has your question been resolved?

[hasty falcon]

.close

[devout snow]

Channel closed

Closed by @hasty falcon

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.

[chrome meteor]

Please re open mines

[chrome meteor]

My science class is pretty small. There are just students in the class. My teacher, Ms. Microbe, has an unusual system for pairing us up for labs. She has given each of us a number from through , and on lab days, she pulls our numbers out of a bag to determine who is paired with whom. When we did our last lab, I happened to notice that the sum of each person's number with his/her lab partner’s number was a perfect square!! How were the partners assigned?_

So I know 18+17 is 35 and half of 35 is 15 what’s next?

[brisk totem]

what number when multiplied by itself gets you 35?

[chrome meteor]

15

[brisk totem]

hm, what's 15*15?

[chrome meteor]

35

[brisk totem]

are you sure about that

[chrome meteor]

Oh 30

30

[brisk totem]

are you sure that 15 multiplied by 15 is the same as 15 plus 15?

[chrome meteor]

225

Oops

[supple knot]

,calc 15 * 15

[woven radish]

Result:

225

[brisk totem]

so with that in mind, and the knowledge that 18 plus something is a square number, find what something should be

[chrome meteor]

243?

[brisk totem]

okay, is there a student with the number 243 in the class?

[chrome meteor]

Idk

[brisk totem]

read the question again, what numbers do the students get?

[chrome meteor]

1-18

[brisk totem]

yes, so what number from 1 to 18, when added to 18, gets you a square number?

[chrome meteor]

9

[brisk totem]

and what number multiplied by itself gets you 18+9=27?

[chrome meteor]

How is that possible?

[brisk totem]

it's not, so is 9 the right answer?

[chrome meteor]

Yes

[brisk totem]

then what number multiplied by itself gets you 27?

you've told me that 18+9 is the square of some number, so you should be able to give me a number that when multiplied by itself, gets you 27

[chrome meteor]

It can only be one number for both?

[brisk totem]

well, that's what the question says, isn't it?

anyone's number, added to their partner's number, gets you a square number

so, the student with number 18 is paired to someone, and their sum is a square number

[chrome meteor]

9*3

[brisk totem]

is 9 equal to 3?

[chrome meteor]

9*3=27

[brisk totem]

that's correct, but the a square number is something you get when you multiply a number by itself

[chrome meteor]

So you want me to solve 18 or 27?

[brisk totem]

i want you to find a number that when added to 18, gets you a square number

[real grail]

5*5 - 18 = 7

[chrome meteor]

Ohhhh

[real grail]

so 7 is what's you looking for

[brisk totem]

giving out the answer is not exactly the most helpful but i suppose it speeds things up

[chrome meteor]

Thanks to both

[brisk totem]

now you can do the next simple cases: who's the student with the number 17 paired with?

[chrome meteor]

It’s still going omg

8

[brisk totem]

your question asks how were the partner's assigned

which means there are 9 pairs of 2, so you have to find 9 pairs

so far we've gotten 2

and who's number 16 paired to?

[chrome meteor]

9

You there?

[brisk totem]

yes

and you can use the same reasoning to ask yourself how to make square numbers to deduce the rest

[chrome meteor]

So I just go down 2 each time for my subtracting number?

[real grail]

1- pick a perfect number (let's call it n)
2- pick a number below the perfect number (let's call it x)
3- the other pair is n - x

[chrome meteor]

Ok

[real grail]

the definition of a perfect square is a number multiply by himself

like :
1 *1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
...
all those numbers are perfect squares

[chrome meteor]

Ok

All the perfect squares I got are 9,4,9

Is that right?

[real grail]

right but 16 and 25 should be considered

[chrome meteor]

How would I get that

[real grail]

since sum of two student will give you a perfect square

17+8 = 25

[chrome meteor]

15+1=16

[real grail]

for exemple

[chrome meteor]

Is that right

[real grail]

yeah

[chrome meteor]

And how do I write out the anwser

Because it says “how were the partners assigned”

[chrome meteor]

Do you know how I’ll write out the answer? Sorry bout that

[brisk totem]

i guess something in the form of (18, 7), (17,8), ... would suffice

[chrome meteor]

Ok

Tysm you guys helped me so much

[devout snow]

@chrome meteor Has your question been resolved?

Channel closed

Closed by @chrome meteor

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[modest condor]

studying for a precalc test tmr j wanted an answer rq
in something like log(4x-4) would the transformation be like 1 or 2

[modest condor]

would like the +4 be part of the x or separate

[devout snow]

@modest condor Has your question been resolved?

[trim vine]

I’ll assume you mean transformation between points on log(x) on points on log(4x-4)

You have to use the format where the coefficient of x is just 1, so you have to distribute out the 4 to get log(4(x-1)). This is the format u wanna look at. So looks like horizontally shifted right and then squished by 1/4

[modest condor]

ok fine pretend its 4x - 3

im just using sample numbers ik i can factor it out

i j wanna know if its 1 or 2

[trim vine]

What’s 1 or 2??

Oh

None of them

[modest condor]

what

whats the transformation then

[trim vine]

I think it’s (x+1)/4

[modest condor]

(x, y) becomes what

wait what

dude literally how

in what universe

[trim vine]

What, are choice 1 and 2 the textbook choices?

[modest condor]

its not textbook choices im tryna study

how the hell is it x+1

oh i see what ur doing

[trim vine]

Oh I meant x-1

[modest condor]

but i dont think

that works

[trim vine]

(X-1)/4

[modest condor]

no

because the signs flip when you apply the transformation

its originally x - 4

so it becomes x + 4

[trim vine]

Oh then x+1 lol

[modest condor]

ok ill try this
if you have log(ax + b) + c = y

does (x, y) become ((x - b)/a, y + c)

or

does it become

(x/a - b, y + c)

does that help you understand my question if i use variables so you cant evade answering by factoring it

[trim vine]

But u r supposed to use the variables that u get AFTER factoring it out

[modest condor]

not necessarily

it doesnt always work out like that in every problem

and they do that on purpose

which does it become

[trim vine]

Hmmm

X/4 - 1

[arctic field]

[arctic field]

fyi the last bit is

[trim vine]

Played around with t, and it works

[arctic field]

by how you've written it you would assume that it's a squish of 1/4 followed by a shift of 1

[modest condor]

ok thank u

[arctic field]

if you do it the other way round then you gotta shift by 4

[trim vine]

I think I’ve come up with a generalizable method

G(x_i) = f(a(x-b))
X_i = a(x-b)
X_i/a = x-b
X_i/a + b = x

Idk what steps of logic I did, but looks like something is right about it, can’t put my finger on it

[trim vine]

Yoooo this is awesome

[modest condor]

yooo

[devout snow]

@modest condor Has your question been resolved?

Channel closed

Closed by @modest condor

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[cyan stream]

What is the use of convolution in terms of signal processing?

[cyan stream]

I am having trouble trying to understand how convolution would be used accurately to produce a result

[devout snow]

@cyan stream Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[devout snow]

Available help channel!

Send your question here to claim the channel.

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

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

[placid wedge]

If we write Sym({1,2,3,4}) - symmetries of a square, as ${e, r, r^2, r^3, k_1, k_2, k_3, k_4}$ where $r_i$ are rotations, and $k_i$ are reflections. Why is it that the permutation $(1 3 2 4)$ seems to not be a part of this group?

[woven radish]

todadqa

[placid wedge]

I have that the group written as permutations is

${e, (1 2 3 4), (1 3)(2 4), (1 4 3 2), (1 4)(2 3), (2 4), (1 2)(3 4), (1 3)}$

[woven radish]

todadqa

[placid wedge]

Corresponding to the symmetries written as $r_is$ and $k_is$

[woven radish]

todadqa

[placid wedge]

but then where tf is (1 3 4 2) or for that matter ( 1 3 2 4)

Clearly sym(X) must be closed and yet i can construct the above two using members of Sym(X)

[devout snow]

@placid wedge Has your question been resolved?

[placid wedge]

<@&286206848099549185>

[arctic field]

(1342) isnt a symmetry of a square

[devout snow]

@placid wedge Has your question been resolved?

[placid wedge]

why not?

isn't it a permutation of points on the square

[arctic field]

you're telling me the symmetries of a square let you randomly permute the vertices around?

you want to just take one vertex and move it just anywhere regardless of the other two vertices it is neighbouring?

[placid wedge]

Ohhhhhh

It is no longer the same square?

but why then is it a product of symmetries? e.g. (1 4)(2 3)(1 2)

[placid wedge]

wait

it isnt

[arctic field]

you shouldnt be able to get (1342) using just the elements of your group

[placid wedge]

but in my given example

1 goes to 2, 2 goes to 3, 3 stays. (1 3 ...)
3 goes to 3, goes to 2, stays. (1 3 2 ...)
2 goes to 1, stays, goes to 4. (1 3 2 4)

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[pliant wind]

can someone explain

how you get from 1 to 2

why does 1/N cancel with N=i=1

[fallen quiver]

$\mu$ is constant. So the $\sum_{i=1}^N \mu = N\mu$

[woven radish]

Reacquired

[supple knot]

What's the sum of 1+1+1+...+1 N times?

[pliant wind]

errr

N?

I dont know

It should be n righ

n-1)+1 = n?

@supple knot

so 1/N x N = mu.. I understand now ig..

but I have another question

where does hte 1/N come from intuitively

we know sample mean is 1/N Sum of N Xi..

[supple knot]

What's the average of 2 and 4?

[pliant wind]

3

[supple knot]

How did you get that

[pliant wind]

2+4

/2

[supple knot]

Why did you divide by 2

[pliant wind]

is there not 2 numbers?

[supple knot]

Yes. Does that answer your question

[pliant wind]

errr.. hmm so

what we have is basically lets say we had 10 numbers

it would be 1/10 x 10 (for every sum ofxi)?

is that what we are gathering?

if so that makes sense, if not I have no idea ll

[supple knot]

Yes

[pliant wind]

ahh okay

I understand it now

thank you very much

is it okay if I ask some variance questions at sometime

in one of these channels

You explain it the best

<3.

Ty and take care

haahah quickly

where did hte N come from AAHHA

the 1/N^2?

@supple knot before you depart my good sir.

[supple knot]

https://math.stackexchange.com/a/1708274

[pliant wind]

got it!

superb

really superb

<3333.

[devout snow]

@pliant wind Has your question been resolved?

[devout snow]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[loud ingot]

I know a, c, and e are subspaces of R^3, but what is R^3 and like how do i even find it out?

Is R^3 just because its (x, y, z)?

Also for (a) for example, how would i know its in R^3 using the theorem? I don't understand the theorem at all.

[charred bolt]

The theorem basically states that it has to be closed under addition and scaling to be a sub space

[loud ingot]

OHHHh i see

[charred bolt]

That is, when you add the vectors they must be in the space still

[loud ingot]

so it'd be like

[u, 0, 0] + [v, 0, 0]' = [u + v, 0, 0]'

[charred bolt]

Yes

[loud ingot]

and since that follows the [a, 0, 0] thing

it follows vector addition

and i do the same for scalar multiplication

[charred bolt]

Yes

[loud ingot]

but how do i know if its a subspace of R^3?

If those 2 hold?

[charred bolt]

Since those vectors are in your R^3 they just have to be held under addition and scaling to be a sub space

[loud ingot]

how do we know if its in my R^3 though

an ordered triple?

[charred bolt]

Yeah

[loud ingot]

so like (x, y, z)

so R^2 would be (x,y)?

[charred bolt]

Yes

Yes

[loud ingot]

Ohhh. Thank you so much! I have a lot better understanding now

.close

[devout snow]

Channel closed

Closed by @loud ingot

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.

[forest hound]

i know how to set it up i just need help finding a certain number

let me send what i have set up

in()
(divided by)
-0.00012

i can figure out what goes in for ()

nvm😭

.close