yeah
#help-17
icy knoll
marsh spear
ok this will be slightlly harder then i thought
icy knoll
thats why im abit confused
marsh spear
i really need to sleep unfortunatly but if u need help tmrw lmk
:/
sorry about that
icy knoll
o ok, yeah ofc
vocal sleetBOT
vocal sleetBOT
Available help channel!
lost bane
vocal sleetBOT
lost bane
need help
i cant calculate m-n without the n in the answer
like i can get a constant number answer
cant*
viral copper
m should be 0 pretty clearly
because the prime factorization of 27 doesn't have 2 in it and any value of m would add 2 into it
So just set m = 0 and simplify the numerator
the denominator becomes 1
vocal sleetBOT
@lost bane Has your question been resolved?
tall delta
So a) asks us to find f(g(x))
But this answer key does not contain the value of f(g(x))?
paper depot
you fucked up and deleted your original message
now you have to abandon this channel and claim a new one
winter hawk
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
marsh grove
how can i prove that the ratio AP:PB is the same for AD:DE
vocal sleetBOT
how can i prove that the ratio AP:PB is the same for AD:DE
river minnow
Similarity of triangles I think
river minnow
Draw a line from P perpendicular to the side BE
river minnow
Wdym, you just solved it 
marsh grove
nope
i need to prove that AP:PB=AD:DE
so that i can use the ratio M:N to find point P
river minnow
Do you know what similarity of triangles is?
marsh grove
not sure
im just guessing
right-angled triangles with same angle will have same ratios?
do u mean that?
im guessing u mean that
river minnow
Let that point located on BE be called K
marsh grove
ok
river minnow
Then you will have ADP and PKB as similar triangles
Because all of their angles are equal
marsh grove
yes
river minnow
And, by definition of similar triangles, you should have AP/AD = PB/PK
marsh grove
Let that point located on BE be called K
BE isnt a point
river minnow
And PK is also equal to DE
marsh grove
its a distance
river minnow
I didn't say it is a point
marsh grove
Let that point located on BE be called K
u said let that point
river minnow
You drew a line perpendicular to BE from P, right?
marsh grove
ye
river minnow
The point where that line crosses BE is K
river minnow
You will have ADP and PKB as similar triangles
marsh grove
And, by definition of similar triangles, you should have AP/AD = PB/PK
this seems wrong
river minnow
Right, should have been PB/PK
river minnow
But PK is equal to DE
marsh grove
yes
river minnow
So you have AP/AD = PB/DE
marsh grove
ok
marsh grove
river minnow
Right, that's it
marsh grove
oh ok thanks
how did u know to divide both side by PB?
and multiply both sides by AD?
river minnow
So that we had AP/PB there
river minnow
No, we initially had AP/AD
marsh grove
how did u know what operation to do, to make it AP/PB
river minnow
If you divide AP/AD by PB and multiply it by AD you will get AP/PB
And we wanted to know what AP/PB is
So that's what we do
marsh grove
ok
river minnow
Multiplying by AD gets rid of the denominator and dividing by PB introduces it in the denominator
vocal sleetBOT
@marsh grove Has your question been resolved?
carmine kettle
vocal sleetBOT
vocal sleetBOT
hidden reef
I make a mistake. It should be \sqrt{2}.
vocal sleetBOT
Available help channel!
humble charm
vocal sleetBOT
rose raft
well what does g^-1 (x)mean
humble charm
inverse of g
rose raft
well what is the inverse of g
humble charm
lol thats what i cant find, but every time i try to find it cancel out x for sum reason
regal slate
show your working
humble charm
k hold on ya, i send pic
vast shale
8th question???
vast shale
Do you need the answer of that inequality???
humble charm
nono i just dont understand how to find the inverse of this question only
strange crater
why did you divide by "2y"?
strange crater
fix that and you should be able to get it
worthy citrus
You might want to go back to your second to last line and move all the terms with y to one side
humble charm
fix that and you should be able to get it
ok
humble charm
You might want to go back to your second to last line and move all the terms wit...
ahhh okok
ok i got it now
tysm 🙂
.close
vast shale
You need to solve this inequality, but in reciprocal???
vocal sleetBOT
You need to solve this inequality, but in reciprocal???
rose raft
you don't need to solve it
humble charm
You need to solve this inequality, but in reciprocal???
?
vocal sleetBOT
g(x) = 2x +3/ x - 1
g^-1(x) = x - 1/ 2x +3??
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
vast shale
What
regal slate
youre trolling
worthy citrus
Don't post solutions, especially ones that are wrong
vast shale
I didnt mean it but ok
vast shale
g(x) = 2x +3/ x - 1
g^-1(x) = x - 1/ 2x +3??
By the way does it mean by that with that -1 power to it?
humble charm
By the way does it mean by that with that -1 power to it?
it means the inverse of g
strange crater
no, inverse of the function
normal loom
hey
normal loom
hey, i've got few questions
- how do i find irrational number between two rational numbers
2)how do i find irrational number between two irrational numbers
3)how do i find rational number between two irrational numbers
of course we can find rational numbers between rational numbers thats easy
and please tell me the reason too
because the way we find rational no.s between 2 rational that method is logical and actually makes sense
normal loom
i dont remember exactly , it was like in 7th grade but i do recall something like sqrt of ab
is "one" of the irrational between 2 rational
hard atlas
well there are infinitely many
normal loom
but i sure know that there must exist infinte irrational between 2 rationals ? or am i wrong
yes
normal loom
how do i know if its correct ?
hard atlas
you have to use something other than just addition or multiplication to get an irrational number from a rational one
well square everything
normal loom
then (sqrtA + sqrtB)/2 , is this correct too?
normal loom
lets say a<b. then a^2<ab<b^2
yesss now i know , but this is only one of the many irrationals
how do i find others
hard atlas
then (sqrtA + sqrtB)/2 , is this correct too?
why should that be between them
do something similar with cube roots
or just add a small multiple of pi to a
or "randomly" change the decimals
hard atlas
which one
hard atlas
well with an unlucky choice of a,b that could be wrong
normal loom
or just add a small multiple of pi to a
what do you mean by this
hard atlas
is there any correct method
no
normal loom
hey, i've got few questions
1) how do i find irrational number between two ratio...
now for the second question
normal loom
why not sure
hard atlas
2+sqrt2, 2-sqrt2
hard atlas
take the decimals and chop them off somewhere
hard atlas
?
normal loom
to find rational number between sqrt 13 nd sqrt 21
hard atlas
clearly 4
normal loom
i need to know what thier values are first right(i hope you understand)
hard atlas
well yes ok but 1 digit is not too much to ask for
normal loom
yup but this is no method , in first 2 question we dont need anything to start from, just a and b
.close
daring ether
i need help figuring out exponential growth
vocal sleetBOT
i need help figuring out exponential growth
daring ether
like a simple calculation such as percentage increase of inflation over 10 years
vocal sleetBOT
@daring ether Has your question been resolved?
rugged vortex
like a simple calculation such as percentage increase of inflation over 10 years
What's your rate of inflation
Per year
daring ether
what would the formula be
daring ether
What's your rate of inflation
10%
daring ether
but its not that simple
since it increases every year
its for example 100x1.1, 110x1.1, 121x1.1, etc
so its not just 100x1.1 10 times
vocal sleetBOT
@daring ether Has your question been resolved?
dark kiln
@daring ether i don't get what you mean, it's what you said it's not
daring ether
What
dark kiln
like it's just 100x1.1 10 times
the 100 doesn't matter
1.1 10 times is 2.59374
an increase of 159.374%
vocal sleetBOT
@daring ether Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
vast shale
Can someone see where I went wrong?
Original question in blue, real answer key answer in red, my answer circled in pencil
paper depot
those cancellations of yours are bogus
vast shale
How ???
paper depot
remember that when cancelling things out in a fraction you can only cancel out common factors,
vast shale
You don't cancel products in addition
paper depot
and you can only do that when your fraction's numerator and denominator are written as products
vast shale
They are being multiplied tho
paper depot
3(x+2)+2(x-2) is a single factor here
the (x+2) and (x-2) in it are not available for cancellation
this would be like trying to cancel out something like $\frac{12\cancel{3}4}{\cancel{3}}$
twin meteorBOT
Ann
paper depot
i mean ok let's look at it this way
by your logic, this simplification would have made this fraction into (3+2)/1
or just 5
don't you think that's a little bit strange?
paper depot
you think it is not strange that such cancellation would imply that 3/(x-2) + 2/(x+2) would equal 5 for all values of x.
twin meteorBOT
Result:
1.1885349193576e-4
do you see how not 5 this is
vast shale
Oh I see
Ok but look at this, I restarted form right before I did the bogus cancellation
I’m still off
Oh wait
Wait nvm
I’m not done yet
paper depot
okay so now there's the issue of you writing a nested fraction and doing so improperly
and then the 5x+2 disappeared somewhere, or so it seems...
vocal sleetBOT
@vast shale Has your question been resolved?
odd coral
vocal sleetBOT
vocal sleetBOT
@odd coral Has your question been resolved?
lusty fox
why is he changing signs in the second step
thats just how you do it
thats how finding the determinant of a 3x3 matrix works
lusty fox
uh
dont generalize
you probably wont be dealing with larger matrixes for now
I'm guessing this is calc?
lusty fox
dont generalize
also I have no idea lol
vocal sleetBOT
@odd coral Has your question been resolved?
tulip pilot
how do i do this? (where do i even begin)
vocal sleetBOT
how do i do this? (where do i even begin)
twin meteorBOT
hannibal
tulip pilot
upper sum
upper sum is just the maximum value on each interval when plugged into the function
which is the height of the rectangle
vocal sleetBOT
@tulip pilot Has your question been resolved?
vocal sleetBOT
@tulip pilot Has your question been resolved?
vocal sleetBOT
@tulip pilot Has your question been resolved?
dry jewel
The peak of the mountain has a density of 400 but every 100 m the density increases by 400. Trying to find function of the density
vocal sleetBOT
The peak of the mountain has a density of 400 but every 100 m the density increa...
dry jewel
400+4z is what I found but not 100% sure
sorry it wasnt complete yet still had to make adjustments to my question lol
green hinge
The peak of the mountain has a density of 400 but every 100 m the density increa...
100m going down the mountain?
dry jewel
peak is 1100m
green hinge
peak is 1100m
Shouldn’t you have included that in your question?
green hinge
Ok so the peak is 1100m with a density of 400, and every 100m down the mountain you go the density increases by 400, correct?
rose raft
ok so it is going down
green hinge
What are you trying to find your function in terms of
dry jewel
in terms of z
dry jewel
so like density=f(z)
twin meteorBOT
hannibal
green hinge
So at z = 1100 your function needs to be 400
dry jewel
what I found was 400+4z
green hinge
So at z = 1100 your function needs to be 400
100 less and it needs to be 800
dry jewel
well
as you go down the mountain
lets suppose the rock gets more compact to one another and it's more dense
but yeah I just need to see if this
dry jewel
what I found was 400+4z
.
is good
and now that I'm thinking about it it makes sense
alright thx yall
.close
vocal sleetBOT
green hinge
what I found was 400+4z
That’s incorrect
dry jewel
.reopen
vocal sleetBOT
✅
green hinge
imagine your height is 1100. You are supposed to have a density of 400, but 400 + 4(1100) = 4800
rose raft
when you do down the function should increase
green hinge
4(1100-z) + 400
It should be something like that
Multiplying out that’s f(z) = -4z + 4800
at height of 1100, f(z) = 400
dry jewel
oh yeah
green hinge
And at 1000 it’s -4000 + 4800 = 800
dry jewel
you're right
green hinge
And at 1000 it’s -4000 + 4800 = 800
So the function works
vocal sleetBOT
vocal sleetBOT
Available help channel!
vast shale
How would I solve this??? I know that the first step would be to find the lcd of each fraction. Add each fraction and then once they are simplified multiply by the reciprocal of the second fraction, but I am having trouble with this one because it’s complicated
vocal sleetBOT
How would I solve this??? I know that the first step would be to find the lcd of...
vast shale
First thing I notice? That neg sign should be factored out and move to the top. So that I can later, when we get to the multiplication by reciprocal part, cancel out the z-9 with the 9-z
vast shale
First thing I notice? That neg sign should be factored out and move to the top. ...
But maybe I won’t start with that,
vocal sleetBOT
@vast shale Has your question been resolved?
vast shale
.close
vast shale
.close
vocal sleetBOT
Available help channel!
empty drift
Hey guys, trying to solve this, could someone help?
If m∠P and m∠Q sum to 90°, then cos(Q)=sin(P).
half marten
Hey guys, trying to solve this, could someone help?
If m∠P and m∠Q sum to 90°, ...
cos45 = sin45 I'm assuming
empty drift
Oh sorry didn't specify
It's asking if the statement is always sometimes or never true
half marten
sometimes true
empty drift
It was wrong
half marten
WHAT IS IT THEN
empty drift
Always
empty drift
empty drift
Can you help me with 2 more?
half marten
no promises
half marten
but ill try
empty drift
If ∠T and ∠U are complementary angles, then cos(U)=sin(T).
empty drift
if p and q sum to 90, think its saying if t and u are complementary angles meaning like 90 yk
not both
half marten
complementary means sum adding to 90 Id assume they mean T + U = 90° but my reputation is shattered now
empty drift
lol
half marten
I would go with always, but I'd wait till someone smarter answers u
empty drift
alr
empty drift
k
empty drift
they never helped me so
😭
alr
If ∠T and ∠U are complementary angles, then cos(U)=sin(T).
Can someone help me solve this?
half marten
zamn u still waiting? @empty drift
lime gorge
Yea it’s the same question
half marten
hey I was right
empty drift
No
half marten
@empty drift
empty drift
Do u know what radians are
yes
empty drift
Where did you get this pic btw?
lime gorge
empty drift
o lmao
lime gorge
Essentially the first picture is saying that cos(x) = sin (90 -x)
And sin(x) = cos(90-x)
empty drift
oooh ok
lime gorge
See how that would apply to ur thing
empty drift
Kinda
half marten
make x any number
and do examples with ur calculator
if x is ten (U) then 90-x is 80 (T)
empty drift
Wait a sec
empty drift
why would x be 10?
half marten
sure
empty drift
Is that a yes or a guess lol
half marten
x can be any number between 0 and 90
lemme give u an example
I know one angle is 15° but I don't know the other. but I do know that both angles add up to 90°
as an equation that'd be 15 + x = 90
empty drift
I think I get it
half marten
jus think of adding up to a right angle
empty drift
kind of
empty drift
It would be sometimes cause U could be 45 and T could be 45 right?
half marten
they show the proofs as well
half marten
It would be sometimes cause U could be 45 and T could be 45 right?
yes exactly
empty drift
IT WAS WRONG
half marten
if U is 20 then what would T be?
empty drift
BRO WHAT
empty drift
empty drift
what..
half marten
no its always
empty drift
no its always
BRO
half marten
we been saying that 😭
empty drift
yes exactly
You said yes exactly 😭
half marten
I saaiid it'll work with any x
empty drift
half marten
I SIDNT KNOW THAT WAS U QSKING FOR THE QUESTION ANSWE
BRROEOEOWOWN
I thought u meant sometimes it's 45°
empty drift
alr
empty drift
half marten
OKAY
empty drift
Yes
half marten
okay
empty drift
okya
half marten
let's think
empty drift
alr
half marten
this would be sometimes
empty drift
this would be sometimes
Are you sure?
half marten
but I would put sometimes
empty drift
It was right
half marten
yippee
half marten
uh oh
empty drift
nvm I got my papers
I'm trying to find angle forgot and saw my paper
I wrote down how and forgot
wait how tf do you do this
empty drift
nvm
math monster
mathematics monster website is the goat, shows all the equations right there
half marten
W
empty drift
fr
vocal sleetBOT
@empty drift Has your question been resolved?
vocal sleetBOT
Available help channel!
gusty locust
How do claim a ticket
vocal sleetBOT
How do claim a ticket
gusty locust
formal rock
Okay
I see you wrote down some answers
Okay
What do you find in this question troubling?
vocal sleetBOT
@gusty locust Has your question been resolved?
gusty locust
What do you find in this question troubling?
everything i dont know how to find the angles or side lengths
vocal sleetBOT
@gusty locust Has your question been resolved?
vast shale
A triangle no matter its shape is always going to be equal to 180 degrees, Notice the triangle that has Z, 45 degrees another angle with nothing and side 6? We are going to focus on that triangle. Notice there is angle angle on the bottom that is 55 degrees? This angle with the blank angle are corresponding angles. This is why the blank angle is 55 degrees. Now you know that one angle is 55 the other is 45 and that all three angles equal 180 degrees. Now all you do is Add 55 + 45. then subtract that sum from 180. the difference you get is the angle for Z. Tell me what number did you get for angle Z?
vast shale
When you find Z you will be able to find X then Y. then we can figure out the sides. Let me know if you need more help.
vocal sleetBOT
@gusty locust Has your question been resolved?
vocal sleetBOT
vocal sleetBOT
Available help channel!
trail mesa
vocal sleetBOT
trail mesa
i tried using angle bisector theorem and similar triangles so far but neither worked out
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
limber bridge
Hello i’m looking at the function f(x) = e^-x^2(i’m trying to understand the intuition behind the normal distribution)
vocal sleetBOT
Hello i’m looking at the function f(x) = e^-x^2(i’m trying to understand the int...
limber bridge
Why does the function e^-x^2/2Sigma^2 stretch out the graph of f by a factor of sqrt(2)*Sigma ?
fluid obsidian
What if you transform from y=f(x) to y=c f(x)
limber bridge
What if you transform from y=f(x) to y=c f(x)
?
fluid obsidian
What do you think?
limber bridge
That’s not what we’re doing though ?
hidden reef
you mean how sqrt(2) Sigma comes or something?
limber bridge
you mean how sqrt(2) Sigma comes or something?
Yeah why did we take the inverse of the sqrt of 1/2*Sigma^2 ?
fluid obsidian
That’s not what we’re doing though ?
It is
limber bridge
Lets call that c, out function is e^-cx^2
hidden reef
because the integral from -∞ to +∞ should be 1
fluid obsidian
C is in the e^() though
Nah c is 1/(2 sigma²)
limber bridge
Why does the function e^-x^2/2Sigma^2 stretch out the graph of f by a factor of ...
cf(x) wouldn’t give us this expression tho ?
fluid obsidian
cf(x) wouldn’t give us this expression tho ?
Well let $f(x)=e^{-x²}$ and let $c =\frac{1}{\sqrt{2}\sigma}$ then the graphs will be like $y=f(x)$ and $y= c f(x)$
twin meteorBOT
fäf
fluid obsidian
So you need to know how scaling works
vocal sleetBOT
@limber bridge Has your question been resolved?
fluid obsidian
Wait
vocal sleetBOT
@limber bridge Has your question been resolved?
cursive matrix
the problem is : "is this matrix similar to any upper triangular matrix?". So far i found the characteristic polynomial pA(x) = - x^3 + 3x^2 - 4x +2. But now when i get eigenvalues i get x = 1 and two complex eigenvalues. Does this say anything in terms of "is this matrix diagonalizable" and the orginal question?
vocal sleetBOT
the problem is : "is this matrix similar to any upper triangular matrix?". So fa...
cursive matrix
granite flicker
Every complex n x n matrix is similar to an upper triangular matrix.
hence this is similar to one.
if a matrix has distinct eigenvalues it's diagonalizable.
you got 3 distinct eigenvalues. I know that because the complex roots must be conjugates to make a real characteristic polynomial. hence they are all different.
hence the matrix is diagonalizable.
@cursive matrix
vocal sleetBOT
@cursive matrix Has your question been resolved?
cursive matrix
Thank you
balmy sigil
I need help with this task please. I have attached a photo of the things I have so far. However, there has to be some mistake because t is very high.
vocal sleetBOT
I need help with this task please. I have attached a photo of the things I have ...
rose raft
vast shale
Euh I could help but can you format it .. better..?
rose raft
balmy sigil
Euh I could help but can you format it .. better..?
I am sorry. I just put it into an online converter.
vast shale
Oki
balmy sigil
I am afraid I made some mistake because the value for t seems to be wrong
vast shale
what makes you think it's too large?
your working looks fine to me
I am in class but I will look at it when I can
balmy sigil
I am in class but I will look at it when I can
thank you
balmy sigil
what makes you think it's too large?
Can it really take 3000 minutes to reduce the salt percentage about 0.4 %?
balmy sigil
So it should be correct?
vast shale
looks fine to me
balmy sigil
Anyways, they want me to calculate the liters that are needed
vast shale
,w y'=-10 y/64000, y(0)=640
balmy sigil
I have no clue how to do that
that's a nice bot
And the specific solution with C is also true?
vast shale
I have no clue how to do that
you know the time and rate
balmy sigil
you know the time and rate
But I need to calculate liters
twin meteorBOT
vast shale
But I need to calculate liters
rate = litre/minutes
you know minutes and rate
rearrange to find litres
,w 0.006*64000=640exp(-x/6400)
twin meteorBOT
vast shale
its the same as your answer
balmy sigil
its the same as your answer
nice
balmy sigil
rate = litre/minutes
So 0.6*3269 gives me the correct amount of liters?
vast shale
yeah
balmy sigil
And what about my answer concerning the first task?
vast shale
I'm not sure about the words, but the numbers look fine
balmy sigil
I'm not sure about the words, but the numbers look fine
The first one is for the inflow and the second for the outflow
vast shale
yeah thats fine then
balmy sigil
thank you so much for your help
vast shale
np
balmy sigil
.close
noble citrus
vocal sleetBOT
noble citrus
linearize the function at the point (8,7)
Have I done it correctly or am I missing something? I'd say my answer looks rather odd.
i think I found my problem
.close
marsh grove
how to prove that f=-ke
vocal sleetBOT
how to prove that f=-ke
marsh grove
where -k is a constant
i cant remember the name for this thing in ratios
e.g 1:2 ratio
u can get the 2nd ratio number by multiplying by the number 2
so
a=1st ratio * 2
where a is the 2nd ratio number
is it called the constant of proportionality
ok nvm i got it
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
weak halo
Im following a tutorial on separation of variables, what happend to the 3 in the 3c?
vocal sleetBOT
Im following a tutorial on separation of variables, what happend to the 3 in the...
maiden iron
where
weak halo
the one circled in red
true grail
oh i c
weak halo
lol
true grail
the thing is that the integration constant c is that it's completely arbitrary
maiden iron
3 multiplied by a constant is still a constant
true grail
so unless you have boundary conditions or multiply it by something you can apply whatever multipliction or addition you like and not actually change nything
vocal sleetBOT
vocal sleetBOT
Available help channel!
placid osprey
I have a question regarding a card game with a standard deck of 52 cards. Let's say we draw 6 cards and they turn out to be the following: the Jack of Hearts, the Queen of Spades, the 7 of Spades, the 8 of Clubs, and the King of Hearts. What are the odds of drawing a card with a black suit and a value of 7, 8, 9, or 10 from the remaining cards?
vocal sleetBOT
I have a question regarding a card game with a standard deck of 52 cards. Let's ...
placid osprey
I was thinking it’s 1/46 + 1/46 + 2/46 + 2/46 = 6/46, right?
vocal sleetBOT
@placid osprey Has your question been resolved?
signal flicker
Have we already drawn out 6 cards ? Or we have to draw the 6th card?
Beacause you mentioned only 5 cards
vast shale
vocal sleetBOT
vast shale
i need help
replace p with its values in the table
idk how
i tried on the last one and it was all wrong
show what you tried
f(p) = -1^2 - 1
like that
?
not quite, you need some parentheses there
river minnow
Except it's (-1)^2 - 1
river minnow
Yes
river minnow
There are no fractions here
vast shale
no but i got one
river minnow
How?
river minnow
Yes
river minnow
It is
river minnow
Yes, just the same procedure
vast shale
f(z) = 2()^2
river minnow
And just put the value of z inside the parenthesis
vocal sleetBOT
@vast shale Has your question been resolved?
vast shale
And just put the value of z inside the parenthesis
just do this pal what's the problem
tell us where you're stuck
i have more questions
whats this
vast shale
.close
deft oriole
In the formula of forward diffusion process, what does the term I mean?
vast shale
In the formula of forward diffusion process, what does the term I mean?
the identity matrix
deft oriole
and Beta is variance?
vast shale
and Beta is variance?
not sure, more context is needed
deft oriole
vast shale
so yes they clearly say beta is a variance schedule, even though I don't know what that is. rusty on stochastic processes 😦
deft oriole
so yes they clearly say beta is a variance schedule, even though I don't know wh...
im reading about diffusion models
so its from the forward process of the model
vast shale
that's related to quant finance, right ?
vocal sleetBOT
@deft oriole Has your question been resolved?
cinder salmon
Help
cinder salmon
Can someone help me solve this.
My teacher didnt explain anything
she just asked us to do this
rose raft
which
rose raft
which question
cinder salmon
both
solemn grove
what rule relates all sides of a square(Q A)?
all sides of the square are equal, so all 4 sides are 15, meaning the area of the square is 60
what can you deduct about the diameter of the circle?
cinder salmon
so how would i right it
solemn grove
(I'm assuming silence means you don't know)
We can observe that the diameter of the circle is 15 as well, as 15 is the length between the bottom and the top points
What does this tell us about the radius?
cinder salmon
its 7.5?
solemn grove
you have a formula for the area of a circle, don't you?
cinder salmon
A=πr2?
solemn grove
precisely
so now you have the area of the square, and the area of the circle, now what?
cinder salmon
dont know
solemn grove
what areas are shaded?
cinder salmon
outer area?
cinder salmon
calculate the outer area that surrounds the inner shape?
solemn grove
was your result 36.4?
cinder salmon
yea!
solemn grove
perfect 🙂
cinder salmon
thank you
solemn grove
Glad i could help, you can apply that logic to the 2nd question now
sharp oriole
The integral sign on the right that just has an upper limit of -x is confusing me, shouldn't that just be an integral from 0 to x of g(-y)dy instead?
vocal sleetBOT
The integral sign on the right that just has an upper limit of -x is confusing m...
sharp oriole
I'm a little unsure what the integral even means here :/
like from 0 to -x?
then why not just write - integral from 0 to x
vocal sleetBOT
@sharp oriole Has your question been resolved?
undone aurora
for this $a_n = \bigg(\frac{(-1)^{n-1} (0.45))}{n + (n-1)}\bigg)$ right
twin meteorBOT
Calc II Victim
undone aurora
and then I will have to solve for n here $\frac{0.45}{n + (n-1)} <= 0.0000001$ right
twin meteorBOT
Calc II Victim
wide vector
lol look in the channel below this
undone aurora
lmao
wide vector
fuck clac ||
undone aurora
ngl doe series and shit kinda fun. fuck trig integration and solid revolution and all that doe
wide vector
fr
undone aurora
exam in like 5-6 days too 😭
wide vector
tommorow
burnt totem
solid revolution messed me up
undone aurora
oh brahhh goodluck
undone aurora
solid revolution messed me up
I hate dat shit
undone aurora
calc I it was optimization problems n related rates and calc II its prolly da solid revolution shit
and trig sub I hate that too
burnt totem
idk how im gonna review for finals too much stuff
undone aurora
oh damn u got calc II too?
wide vector
im so fucked
burnt totem
yeah i just finished series unit im on differential equations now
wide vector
we touched on that
undone aurora
we stopped after taylor series n shit
lime gorge
r u guys doing the ap version
undone aurora
nah idk what that even is
im in uni first yr. everyone got the same calc II exam
here
robust heron
ngl doe series and shit kinda fun. fuck trig integration and solid revolution an...
im the other way around couldnt solve a series to save my life
also calc 2 final in 5 days XD
undone aurora
Bro I wish my hs did Calc II n shit too
wide vector
if I dont pass this class i cant live in house with my frat. there is so much pressure on this thing
undone aurora
I think imma pass for sure but I need a 75+ in the course
wide vector
I need a 55
wide vector
everyone in that class has around a 58%
undone aurora
to pass first yr
wide vector
damn
burnt totem
u guys have have tutors at uni?
wide vector
ya
undone aurora
bro tutors r so shit
wide vector
fr
undone aurora
i had one in hs gr 11. it doesnt rlly help ngl
wide vector
why do you think im here
undone aurora
nah frrrr
bro even the book I got is fucking shit
openstax
calc II
i have to watch vids n shit
wide vector
ong
robust heron
we got this
robust heron
we put calc 2 in a pack
i did one of these questions ages ago
there is a formula for the error bound of the approximation
you set the error you need to less than that
to begin
wraith venture
Many
undone aurora
**Calc II Victim**
so would this even be valid
wraith venture
That's not the formula for an
ornate seal
No offense poonj but you look my sis ex
undone aurora
oh so my a_n is incorrect fuck lemme try again
wide vector
what'
undone aurora
oh the
fucking
factorial right
$a_n = \bigg(\frac{(-1)^{n-1} (0.45))}{(n + (n-1))!}\bigg)$
twin meteorBOT
Calc II Victim
wraith venture
my pfp is my friend in like 6th grade
That's reassuring cause that pfp looked very young for an undergrad
robust heron
that is the same denom as 2n-1 for simplification
undone aurora
so do I now do $\frac{0.45^{2n-1}}{(2n-1)!} <= 0.0000001$
robust heron
you are also missing an exponent on 0.45 right?>
wide vector
^'
twin meteorBOT
Calc II Victim
wraith venture
factorial right
(-1)^n 0.45^(2n-1) / (2n-1)!
robust heron
should be -1 no?
wide vector
ya
undone aurora
fuck so is it - or +
wide vector
im going with -
undone aurora
coz I did -
wide vector
plug in the numbers
undone aurora
oh bet
undone aurora
**Calc II Victim**
and then I solve for n here right
wide vector
nah you forgot the changing signs
wide vector
no clue
undone aurora
coz for this other question I didnt include it and solved it
and it ended up being right
wraith venture
Normally you use formulas that bound the error, but since the series is decreasing in absolute values and alternating, there's a much simpler bound on the error
wraith venture
Try to figure out a way to bound the error
wraith venture
Normally you use formulas that bound the error, but since the series is decreasi...
Indeed the error is less than the last (or next) term
undone aurora
apparently the answer was 4
but idk how they did it
do they want me to manually calculate
the terms
wraith venture
0.45 < 1/2
So the error for n = 3 is < 1/128 * 5040 ≈ 1/600k
n=4: 2^9 ≈ 5E2, 9! ~ 360k
error < 1/180M
They wanted an error of < 1/10M
It's doable in your head
wraith venture
Physics teaches you to just compute in orders of magnitude
I'm keeping an approximate second digit but that's just for style points
undone aurora
bro r u fr abt it being that "simple"
wraith venture
Word compression is a real thing
undone aurora
I applied ast
and it passes both of the conditions
lim of 1/n+4 is 0
and a_n+1 <= a_n
vocal sleetBOT
@undone aurora Has your question been resolved?
wraith venture
You still didn't ask a question
undone aurora
oh how is it not
absolutely convergent
apparently its conditionally convergent but I dont get how so
if it passes both of the conditions
wraith venture
For alternating series
Which is a test saying the series converges
Why do you expect to be able to use it to say it converges absolutely?
undone aurora
oh what
wait what
I thought if it passes all the conditions
then it does indeed converge absolutely
for example over here it failed one of the conditions so I put conditionally convergent
but r u saying
even if it does pass all the conditions in the AST then it still conditionally converges?