ye
#help-27
polar chasm
okay yeah, thats not the right way to do it
bold dock
ye so basically why is that not the righ way?
polar chasm
This will count 2-2-0 with the same weight as 3-1-0
but as we saw above, when we put apples randomly into baskets, 3-1-0 is actually less likely to happen (there are 4 ways to make 3-1-0, 6 ways to make 2-2-0)
bold dock
This will count 2-2-0 with the same weight as 3-1-0
but doesnt it like account for it by saying there are 3! to get 3-1-0 and 3 combination to get 2-2-0, doesnt that give different weight?
polar chasm
This is like saying there is 1% chance for a coin to land on heads 99 times out of 99, because there are 100 different scenarious:
99 heads, 0 tails
98 heads, 1 tail
...
0 heads, 99 tails
polar chasm
but doesnt it like account for it by saying there are 3! to get 3-1-0 and 3 comb...
well, you dont account for that in the unordered approach
bold dock
This is like saying there is 1% chance for a coin to land on heads 99 times out ...
oh wait but this is obviously not true
polar chasm
because each of the scenarios has a different chance of actually happening
if i wanted to make it even worse:
There are 2 possibilities,
99 heads, 0 tails
Less than 99 heads
So there is 1 favorable outcome / 2 total outcomes = 50%
this favorable outcomes / total outcomes only works if each outcome is equally likely to happen
bold dock
this favorable outcomes / total outcomes only works if each outcome is equally l...
oh I see, so I can only use the unordered approach if each otucome is equally likely, otherwise the ordered approach is the way to go>
bold dock
you need to ensure that your outcomes are all equally likely
hmm I see, I appreciate ur time and knowledge thanks for helping
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ornate crane
hey i have a doubt on what are cyclic intergrals
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hey i have a doubt on what are cyclic intergrals
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primal ferry
so from experience with these question types, i am aware that i need to make 3 cases of 90 and 95 has but 99 does not OR 90 and 99 not 95 OR 95 and 99 not 90
however, i cannot wrap my head around HOW that is possible. how can a 90 and 95 CI have it but at the same time a 99 cannot
devout snowBOT
so from experience with these question types, i am aware that i need to make 3 c...
primal ferry
the explanation in my mind is that theyre not nested since they were computed from 3 different experiments with different computed means and variances
but it's still hard not to fall for the trap that theyre nested and so im getting confused
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vernal stump
Guys
vital sedge
sup
devout snowBOT
Guys
Asking the actual question right away is more likely to get responses.
Asking "Can I ask...?" or "Does anyone know about...?" doesn't give people enough information to decide whether they can help, and answering can feel like a promise to help with the actual question, which they might find themselves unable to.
devout snowBOT
Asking the actual question right away is more likely to get responses.
Asking "Can I ask...?" or "Does anyone know about...?" doesn't give people enough information to decide whether they can help, and answering can feel like a promise to help with the actual question, which they might find themselves unable to.
Asking the actual question right away is more likely to get responses.
Asking "Can I ask...?" or "Does anyone know about...?" doesn't give people enough information to decide whether they can help, and answering can feel like a promise to help with the actual question, which they might find themselves unable to.
vernal stump
Guys, how to use this bot...
ebon coyote
(No, YOU don't need to type da2a every time, that's just to get the bot to display that message)
vernal stump
I'm not usually be here
hasty cargo
... doesnt matter
hasty cargo
I'm not usually be here
just ask the question, nothing else okay
vernal stump
Mm, just reply to it?
vernal stump
(No, YOU don't need to type da2a every time, that's just to get the bot to displ...
I see
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jaunty moat
Someone help
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Someone help
jaunty moat
I can't for the life of me do these symmetry questions
Can do intergration but can't do basic shit 
hasty cargo
I can't for the life of me do these symmetry questions
what have you tried
like for these questions you just need to inspect lmao
jaunty moat
what have you tried
Drawing lines
Like for rotational symmetry I can imagine them but not for these lines thing
hasty cargo
Drawing lines
try common symmetry lines like diagonal and vertical
jaunty moat
try common symmetry lines like diagonal and vertical
I did that
But it's not symmetrical thru that
so it might be diagonal
hasty cargo
who said it must be symmetrical at all
this reminds me of a parallelogram
which looks awfully symmetric but isnt
jaunty moat
Idk im just really bad at imagination
hasty cargo
Idk im just really bad at imagination
if you cant figure it out go into a image editor and chop it up
then mess with the pieces
as a last resort
lunar harbor
hasty cargo
i can't do that in the exam tho
... ok here is a heuristic
if that shit looks like a rectangle but with decorations on opposite vertices like that it isnt symmetrical
jaunty moat
if that shit looks like a rectangle but with decorations on opposite vertices li...
okay so it has 0 lines of symmetry?
hasty cargo
i was taught "axis of symmetry" but whatever
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vital edge
<@&268886789983436800> ?
wispy warren
hello
dim perch
$$\int_0^{1/e}\frac{2x + 1}{x^3 - x^2 + x - 1} \dd x$$
woven radishBOT
blanketism
wispy warren
this is correct but I don't know how to handle the primitive of x/x^2 + 1
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wispy warren
yes thank you
upper geode
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upper geode
How will I get evaluate the integral
supple knot
Try x = 3 sinh(x) or cosh
upper geode
No sorry I already did that
supple knot
Then show
upper geode
upper geode
Then show
How do I put arcsinh 2 in to the integral
In cosh ^3 u
Also the integral is correct I checked the answer sheet
supple knot
Use cosh^2 = 1 - sinh^2
upper geode
What do u mean
supple knot
In cosh ^3 u
.
supple knot
You used the same identity in the integrand
upper geode
What do I do with this can u be more clear
supple knot
In cosh ^3 u
You have a cosh here
supple knot
Use cosh^2 = 1 - sinh^2
Use this to write it in terms of sinh
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neon wagon
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neon wagon
can someone explain how the Integral function F is like that
shouldnt the exponent be ^3
vital sedge
do you know integration by parts?
neon wagon
do you know integration by parts?
no we didnt learn that
thats why we do this coefficiant comparing thing
vital sedge
Well the handy wavy reason is because integral of e^x = e^x
neon wagon
Well the handy wavy reason is because integral of e^x = e^x
oh
right
yeah i can just memorize that i guess
vital sedge
Maybe just learn integration by parts, instead of this
I've never even heard of this coefficient comparing thing
vital sedge
After some exercises it's pretty simple to do
neon wagon
i got my finals next week
primal ferry
in its simplest form, yes. but it's a rigorous process the harder the questions get
vital sedge
in its simplest form, yes. but it's a rigorous process the harder the questions ...
true
primal ferry
learning the principle is quite easy
it's one formula and learning to use it
it becomes hard only when the questions become hard
primal ferry
id watch an organic chemistry tutor video on it to give it a try at least
ibp is foolproof and thats why we're recommending it
and frankly almost certainly more useful and principled
neon wagon
this is how it works
vital sedge
Im sorry e^2 x ?
vital sedge
do they mean e^x or e^(2x) or xe^2
vital sedge
Ahh okay
I'mma be real I'd say integration by parts is much simpler than this
ich spreche ein bisschen Deutsch
primal ferry
give it a try at least
ionic chasm
I'mma be real I'd say integration by parts is much simpler than this
would you say fractions are easy compared to this 
or prime factorization or integars
vital sedge
would you say fractions are easy compared to this <:thinkies:827642567775748163>...
Not sure what you mean, but If you have a question you can open your own help channel! :)
ionic chasm
Not sure what you mean, but If you have a question you can open your own help ch...
oh, it was just a silly joke.. and yes i have opened my own help channel, just waiting for someone..
neon wagon
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neon wagon
did i derive A correctly?
faint gorge
Ja
neon wagon
What are you even supposed to do with A'(x), can you post the original
yk formansatz
theres no original
just the integrate function of a(x)
wait fuck i did something wrong
faint gorge
Ohh
near jolt
i think thats wrong
yeah because that gives u a=0
since the degree three term "x^3" is still there after taking derivative
it might be wise to do ax^2 instead
neon wagon
yeah because that gives u a=0
so
but then if just do the same approach?
like the final step
how do i compare the coefficients
faint gorge
you only compare coefficients with same powers
near jolt
how do i compare the coefficients
u find out a=0 and you plug in a=0, then you note that A'(x), no matter b and c, will never equal to a(x)
near jolt
you only compare coefficients with same powers
also yeah that. Your derivation makes the crucial assumption that a,b,c are constant numbers. So you need the coefficient for e^x x^3, e^x x^2,... to match (this is because they are linearly independent over R, but saying this probably makes it confusing if you dunno lin alg)
near jolt
where did your e^3x go
ignoring this typo it seems to be correct
neon wagon
it escaped the matrix after the second line
oh shit
yeah
also did i factorize correctly?
near jolt
no need for factorizing in the end
near jolt
note that ax^2+bx+c=dx^2+ex+f for all x, if and only if a=d,b=e,c=f
near jolt
note that ax^2+bx+c=dx^2+ex+f for all x, if and only if a=d,b=e,c=f
so using this its best to group them by degree on x
but no matter what method, you should try and find a,b,c.
neon wagon
yo i got
neon wagon
but no matter what method, you should try and find a,b,c.
a = 1
b = 2
c = 5
near jolt
a = 1
b = 2
c = 5
seems right, you should double check by taking derivative tho
wispy warren
hello
wispy warren
I'm struggling to solve this problem
graph f(x) = 1/(x+1) + arctan(x)
here's my work:
trail eagle
It's already a good start. Are you just struggling with putting all of those together in the graph?
trail eagle
For the asymptotes, just make sure you identity them. Either have them go through a tick-mark on the axes, or write their equation next to them (x=-1 for the VA, y=... for the HAs).
Identifying your axes would be good as well.
The graph is pretty much on point, except you could make it a little more apparent on the graph that (0,1) is a minimum.
wispy warren
oh okay alright
I do have another question
I’m required to find the values that f(x) can assume
are we supposed to this by looking at the graph?
or is there a different way to do this
trail eagle
Well looking at the graph certainly helps understanding what values you're expecting.
To have a more precise idea, you can check that, say, f is decreasing between -1 and 0 and increasing after, so using the limit you found you should be able to say what values this part of the function reaches.
Then you can argue similarly for the part in the third quadrant
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wispy warren
thank you 😄
neon wagon
hello so im trying to find out the integrate function but im confused on this one, like
devout snowBOT
hello so im trying to find out the integrate function but im confused on this on...
neon wagon
IS it supposed to be E(x) = (ax^2 - c) e^1/3x
do we just leave the bx out?
(im doing the compare coefficient method)
faint gorge
hello so im trying to find out the integrate function but im confused on this on...
Formansatz again?
neon wagon
yes
faint gorge
Formansatz should be ax²+bx+c a full quadratic polynomial, it might be that some coefficients end up 0 anyway
The important part is the order
neon wagon
Formansatz should be ax²+bx+c a full quadratic polynomial, it might be that some...
hmm
yeah makes sense
ill just do that
neon wagon
Formansatz should be ax²+bx+c a full quadratic polynomial, it might be that some...
yo but how do i know if its -bx or +bx
or does it not matter
faint gorge
it doesn't matter
The solutions will adjust to your choosing
For example if b was 7 then if you chose +bx, then simply 7x, but if you chose -bx then you'd get -7 so that -(-7)x=7x yields the same
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neon wagon
For example if b was 7 then if you chose +bx, then simply 7x, but if you chose -...
yeah
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hasty rune
Am I able to solve this question without theta?
devout snowBOT
Am I able to solve this question without theta?
hasty rune
Or is there an assumption I can make to solve to the best of my abilities?
lusty sapphire
You absolutely need the angle
neon folio
wow yellow swr looks so weird
hasty rune
Dang, this is my final. Is there really no possible way to solve it?
Well, thank you for ensuring me I'm not an idiot.
Was feeling real dumb not knowing how to do it
.close
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hasty rune
.reopen
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✅ Original question: #help-27 message
hasty rune
I've finished the test and I don't understand how this is the correct answer. How would i get -28475.023%?
That's the correct answer according to my class.
Also, here's the answer to the unsolvable question.
frozen solar
how do i solve
mod(x) >= -x^2-6
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how do i solve
mod(x) >= -x^2-6
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barren fable
<@&268886789983436800>
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glass maple
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glass maple
How would I start this problem?
untold ravine
you can split up the integral based on the intervals
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civic tangle
can someone explain how my friend got this answer or just how to solve the question
devout snowBOT
can someone explain how my friend got this answer or just how to solve the quest...
near jolt
can someone explain how my friend got this answer or just how to solve the quest...
ur friend picked D when it is stated that b<2pi
civic tangle
ur friend picked D when it is stated that b<2pi
oh well can u explain how to solve
bc i lowk fell asleep in class
near jolt
oh well can u explain how to solve
u can kinda draw the graph using the graph of the function
its telling tou how long r is when theta grows
f(theta) returns the radius for angle theta
civic tangle
u can kinda draw the graph using the graph of the function
is there a pattern or something the petals should form bc how will i know if its in q3 or q4 if im just checking for a negative
well not negative but like on the graph
near jolt
is there a pattern or something the petals should form bc how will i know if its...
try drawing the function out and I think that will give u some intuition on when pedals form
civic tangle
😭
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digital hatch
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digital hatch
Could someone please help me with my practice test
solid perch
what have you tried, and where are you stuck at?
digital hatch
I mean i have a formula sheet
i know 1 is L
and 2 is K
but i dont know the rest
solid perch
3 is an identity about sine. maybe test the expression in 3 with some special values of x, like pi/4, pi/2, and pi.
digital hatch
acc nvm i have this formula sheet im allowed to use
solid perch
ah, alright then.
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fickle rune
I'm in too much of a panic attack about not having studied for finals to focus on trying to figure out what they want from this question
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I'm in too much of a panic attack about not having studied for finals to focus o...
@fickle rune Has your question been resolved?
fickle rune
<@&286206848099549185>
twilit falcon
<@&286206848099549185>
how can i help you
gloomy aurora
well so where are you stuck?
fickle rune
I just don't really know where to start with this question. What do I say? I think I did something with a similar problem earlier that had a similar conclusion, cos2x to cos2x, but I don't know what from it can help me here
fickle rune
fickle rune
well so where are you stuck?
I don't know how to approach this problem. I can never get a good enough understanding of anything to say how this Maclaurian series converges to f(x) just because it's less than n, or between 1 and 0
Like, it works for sin! somehow.
no, cos
Well, I guess it'd work for both
Is it involving some quirk of 1 or 0 over (n!) always results in R=(-infinity,infinity)?
twilit falcon
Here is part of proof not sure if it is correct or not but to me it makes since i am not done yet
Hy this is the proof
i short some of the thing not in paper but if you confused refer to my writing lastly if you confused with something let me know
lunar harbor
<@&268886789983436800> AI
fickle rune
Yeah I'm thinkin its more of a conceptual problem than something you solve for, and I've never heard squeeze theorem used in the context of any of this before
Well, if that last post was AI, how do I solve this?
and whoever was telling me to... I think find the radius? Deleted their comment. was it wrong or something?
twilit falcon
Yeah I'm thinkin its more of a conceptual problem than something you solve *for*...
The question is is it mathematically valid
if you have never seen something being used it does not mean it is wrong the real question is is it used correctly
twilit falcon
and whoever was telling me to... I think find the radius? Deleted their comment....
It wont work if you use it
that individual mentioned radius of converges
spiral raptor
Squeeze theorem seems to work. Also, if this is about proving that a Maclauren series works then I think there is a proof using differentiation
twilit falcon
In this case since a=0 u centered at 0 and radius of convenges informs you about in a nutshell for what x from ranges from 0 either sides (depends on question) so it tells you where does the series converge not does it converge to f(x)
twilit falcon
Squeeze theorem seems to work. Also, if this is about proving that a Maclauren s...
How?
twilit falcon
How what? Like the proof of a maclauren series?
Proof that it works not sure what you really meant by works on my side that is it converges to f(x)
spiral raptor
Yes that's what I meant by work. It means that its a solution
twilit falcon
So how do you differentiation to show it works
spiral raptor
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proud gull
I'm trying to prove that if a linear transformation f: U -> V has an inverse, then dim U = dim V. I have proved that dim U cannot be greater than dim V, and if so f cannot be one-to-one. I next plan to prove that if dim U < dim V, that f cannot be onto. However, can I not apply the criteria proven for injectivity to f^-1 to also prove that dim U cannot be less than dim V, or that invalid in some way?
devout snowBOT
I'm trying to prove that if a linear transformation f: U -> V has an inverse, th...
lost laurel
I'm trying to prove that if a linear transformation f: U -> V has an inverse, th...
if you prove there's a one one function from V to U you're done if you can use thsi
However, can I not apply the criteria proven for injectivity to f^-1 to also prove that dim U cannot be less than dim V,
Because this is what you'd essentially be doing right
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proud gull
if you prove there's a one one function from V to U you're done if you can use t...
What I'm trying to solve is a problem in a book I'm following. I shouldn't use theorems outside of the book. I was more of asking if there was anything incorrect with it perhaps logic-wise.
tender knoll
What I'm trying to solve is a problem in a book I'm following. I shouldn't use t...
hmmm ok.
lament cradle
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lament cradle
Did i differentiate this correctly?
runic prawn
d(what?)/dx
lament cradle
I gen dont know how to do differentiation when theres fractions but i quickly saw a vid and it was someting similar
dy/dx
oops soz if my handwringis bad
runic prawn
it is
runic prawn
d/dx (16/x) = -16/x^2 yes
but you wrote it poorly
y = 16/x
then you find dy/dx
not dy/dx (16/x)
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vague gyro
Does anyone know if I can get a call to ask questions? Like a tutor call?
vague gyro
Can I?
sonic smelt
There are no public vcs on the server if that's what you are asking, you'd need to move into dms
sturdy fiber
Can I?
read chartbit's message in #discussion
willow helm
Does anyone know if I can get a call to ask questions? Like a tutor call?
Honestly, I'd say most problems can be resolved via messages no problem
So I'd just give it a shot
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harsh stream
<@&268886789983436800>
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@harsh stream Has your question been resolved?
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@harsh stream Has your question been resolved?
harsh stream
<@&286206848099549185>
rose trellis
Hi
gloomy aurora
i would say post in an advanced channel if no helper replies in the next 30 mins
rose trellis
why did you say hi to him? <:sus:1497863613111861320>
Can u play Roblox pls
gloomy aurora
Can u play Roblox pls
!redir
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Can u play Roblox pls
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
hasty cargo
I’m having a panick attak pls
?????
rose trellis
Pls can u play Roblox
gloomy aurora
!redir
devout snowBOT
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
rose trellis
It will calm. Me down plssssssss
gloomy aurora
I've already warned you twice.
hasty cargo
Pls can u play Roblox
no off topic.
rain summit
It will calm. Me down plssssssss
!redir
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It will calm. Me down plssssssss
This channel is only for on-topic discussion. Please take casual conversation to #discussion or #chill.
harsh stream
i would say post in an advanced channel if no helper replies in the next 30 mins
What channel should i post it in
gloomy aurora
What channel should i post it in
harsh stream
<#908110794569449553>
Thank you
harsh stream
<#908110794569449553>
Is it ok if i just forward it into that
I dont wanna seem like im asking on diff channels for a help channel...
gloomy aurora
I dont wanna seem like im asking on diff channels for a help channel...
its fine you may close this
and post it there, or you may forward
either works
harsh stream
Ill leave it open
gloomy aurora
but since your thing is spread across three messages
harsh stream
Yea 😭
harsh stream
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distant ibex
I've been given an assignment to prove lehmer's totient conjecture right using a system of given inequalities and equalities, by showing that they lead to a contradiction. I've tried 3 or 4 different ways, and none seem to work. I've found proof for the conjecture online, but it didn't use the system I was given. I'm beginning to feel like it isn't really possible to show a contradiction in the system, and maybe thats the conclusion our professor wants us to get to (?) idk I'm desperate
devout snowBOT
I've been given an assignment to prove lehmer's totient conjecture right using a...
sacred sedge
<@&268886789983436800>
distant ibex
<@&286206848099549185>
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@distant ibex Has your question been resolved?
distant ibex
yeah, it is
uncut crow
the 'proof' you found is probably not valid (there are 'proofs' you can find of every open problem that has a name)
and the formatting of the question looks like ai slop honestly
faint gorge
Why would someone give you an open problem
distant ibex
and the formatting of the question looks like ai slop honestly
Yeah I wouldn't be surprised if he used it lol
faint gorge
Ohh
distant ibex
Its kinda vague, I didn't get whether I needed to do both things
faint gorge
Bryh
uncut crow
bruh lol
distant ibex
or just one of them
uncut crow
no way you're supposed to prove it
uncut crow
oh wait hold on
faint gorge
https://tenor.com/view/kermit-falling-building-fall-woodz-gif-24715383
@versed juniper ur frog farm
uncut crow
<@508442553754845184> ur frog farm
don't bother mommy for this
versed juniper
<@508442553754845184> ur frog farm
no frogs were harmed
uncut crow
oh wait hold on
i was going to suggest maybe you are supposed to show the 'system' does lead to a contradiction but that doesn't actually prove the conjecture because the issue is in the system itself
but i don't know
distant ibex
i was going to suggest maybe you are supposed to show the 'system' does lead to ...
that technically is what we're supposed to do
just show that it leads to a contradiction
can't seem to do that tho
crude niche
<@&268886789983436800>
vital edge
Man the bots are out in force recently
tall linden
agree
hasty cargo
Man the bots are out in force recently
Cant we just like ban these mrbeast images or is there no feature to scan images and ban them?
hard shoal
Cant we just like ban these mrbeast images or is there no feature to scan images...
code one up to read image matadata 
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solid osprey
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solid osprey
i dont get the argument for A+C>0. can someone explain it to me
this higher dimension stuff is really confusing D:
gloomy aurora
solid perch
I think the second image is the solution to the question posed in the first.
hollow vine
oh i see mb
solid osprey
oh
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swift badge
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barren dune
Part c
neon folio
Maybe it would be helpful to also add a coordinate system to the sketch
It could help for visualization
barren dune
Maybe it would be helpful to also add a coordinate system to the sketch
Like a scale for x, y axes?
neon folio
Like the origin O(0,0) and the x and y axes
Ok but we can solve it without
Ok look
DE and DC are both tangents from D
Right
barren dune
Can I say the left and right side of the kite or symmetrical, because D lies exactly above the center B, meaning that the horizontal distance from B to C is same as from B to E
neon folio
Can I say the left and right side of the kite or symmetrical, because D lies exa...
Yes this is correct
barren dune
Can I say the left and right side of the kite or symmetrical, because D lies exa...
And E and C lie on the same y coordinate because DB (a vertical line) and EC are perpendicular, meaning EC is a horizontal line
barren dune
And E and C lie on the same y coordinate because DB (a vertical line) and EC are...
Because EBCD is a kite
neon folio
Yes
devout snowBOT
If you are done with this channel, please mark your problem as solved by typing .close
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jaunty moat
devout snowBOT
jaunty moat
probably going to be 28 and some other number
How do you do these question tho
versed juniper
brain
jaunty moat
Like don't give me the answer
versed juniper
well i thought you could deduce that observation yourself
can you produce logic for why it would be true
jaunty moat
well i thought you could deduce that observation yourself
Idk I've never learnt these questions
versed juniper
the hcf is 28 so we know 28 is a factor of both numbers
jaunty moat
the hcf is 28 so we know 28 is a factor of both numbers
Yes
versed juniper
nothing stops you from using 28 as one of the numbers
28 would be the smallest number
that has a factor of 28
jaunty moat
Yeah
versed juniper
ok
so then we need another number such that the lcm of it and 28 is a multiple of 35
how do you find the lcm of two numbers
jaunty moat
how do you find the lcm of two numbers
You take the highest power primes and multiply them together
Multiple of 35, it doesn't say 35
dapper tiger
oh my bad misread what angel said
versed juniper
You take the highest power primes and multiply them together
Hm ok so then let's try to represent what we want to find
a multiple of 35 means the lcm is something like 5 * 7 * x
we know 28 is 4 * 7
so we have the 7 already
we need to get a 5 in there in order to have a multiple of 35
so you do exactly that
28 * 5 = 140
and it happens that the x we had earlier for the lcm is 4, from the 28
the lowest common multiple of 140 and 28 is 140
celest gyro
well, if the gcf is 28, both must be a multiple of 28 but not 56
dapper tiger
when you're lacking ideas, you can always write stuff for simplification
like if gcd(x, y) = 28, you have 28gcd(a, b) = 28 by dividing x and y by 28, and gcd(a, b) = 1
choosing a minimum pair (x, y) is choosing a minimum pair (a, b)
since their lcm has a 5, exactly one of them has to be divisible by 5, and without other conditions the smallest pair that works is (1, 5), giving (28, 140)
kinda more obvious if you factor out the gcd sometimes
the other way around works too, if gcd = 28, it divides lcm = 35k, so 4 divides k and lcm = 140k'
and the smallest pair you can take is (28, 140) for a lcm of 140
dim path
what's 1+1 guys?
devout snowBOT
what's 1+1 guys?
heavy current
what's 1+1 guys?
please don’t troll in the help channels 
if you have a real question, please ask it!!
otherwise, you can close the channel 
dim path
i think its 2
okay thanks
what is the average mass of an instertaller Black Hole or What is the size of an black hole that has the same mass as our sun
runic prawn
what is the average mass of an instertaller Black Hole or What is the size of a...
those are 2 different questions
raw parrot
i think its between 2 and 150 times of the sun
runic prawn
for the latter use schwarzchild radius
the for the former.. what do you mean by average exactly?
raw parrot
the for the former.. what do you mean by average exactly?
yeah lmao
you cant average one single number
runic prawn
this is probably a troll question
raw parrot
well yeah
runic prawn
like he was trying to go super easy then super hard
raw parrot
i think he just
raw parrot
thought of the most difficult question he could think of
dim path
like he was trying to go super easy then super hard
Bro?
runic prawn
what
fierce rune
$R_s=\frac{2GM}{c^2}$ is thes schwarzschild radius which is the radius corresponding to the event horizon, so you can just plug in the numbers to find it
woven radishBOT
lyric
raw parrot
what is the average mass of an instertaller Black Hole or What is the size of a...
ppl in this server are deadass talented enough to calculate that. be careful what you say 😭
raw parrot
...
dim path
im just asking random questions im just curious about science/math
raw parrot
you did not need to confess that but alr
fierce rune
but genuinely, the radius of a black hole is something you are able to calculate easily
its a fascinating result with how simple it is
raw parrot
but genuinely, the radius of a black hole is something you are able to calculate...
if you have the measurements yeah
raw parrot
how would you measure it though
fierce rune
measure what?
dim path
wrong send
raw parrot
im just asking random questions im just curious about science/math
how is gaining knowledge about the masses and sizes of black holes going to enlighten you in any way
raw parrot
measure what?
the diameter or radius of black hole
fierce rune
how would you measure it though
if you're asking how you would observe the radius of a black hole experimentally, i believe physicists measure the degree of gravitational lensing using objects behind it to find the mass
since the curvature of spacetime is dependant on the mass of a body
raw parrot
if you're asking how you would observe the radius of a black hole experimentally...
yeah. but it could still be unfathomably incorrect
fierce rune
what makes you think that?
special relativity has been a heavily researched area since einstein postulated it
dim path
nah y'all are to Good at math :/
raw parrot
well, because we can only estimate, and not know the true value
dim path
is being good at math can get u better in playing chess?
fierce rune
well true, theres always experimental error
dim path
Oh okay thanks man
raw parrot
well true, theres always experimental error
and since theres rarely been in any records of us calculating the radius, our technologies are way too unadvanced and wrong
dim path
is Reading and asking ur self , better than reading before going to go to bed?
raw parrot
is Reading and asking ur self , better than reading before going to go to bed?
ask chatgpt like u did earlier
dim path
ask chatgpt like u did earlier
I didn't ask chatgpt i only use Chatgpt for school purposes
😄
and sometimes just read books
raw parrot
is being good at math can get u better in playing chess?
no, theres 0 correlation between those 2 activities
raw parrot
I didn't ask chatgpt i only use Chatgpt for school purposes
shouldnt this be considered academic
dim path
no, theres 0 correlation between those 2 activities
Okay? well im bad at english and math sorry
raw parrot
I didn't ask chatgpt i only use Chatgpt for school purposes
the one thing you shouldnt use it for
fierce rune
and since theres rarely been in any records of us calculating the radius, our te...
not true! a black hole isnt something you can look at with a telescope and measure how wide it is
raw parrot
🤦
raw parrot
not true! a black hole isnt something you can look at with a telescope and measu...
exactly!
fierce rune
but there are exact ways of finding its radius
fierce rune
It's measured by mass
yeah exactly!
dim path
primarily classified and measured by their mass ?
fierce rune
mass distorts light in a specific and predictable way thanks to the einstein field equations
raw parrot
whatdatmean can you help me with my question
fierce rune
mass distorts light in a specific and predictable way thanks to the einstein fie...
and the schwarzschild is a direct result of those equations
runic prawn
<@&268886789983436800>
dim path
yoo
dim path
mb
runic prawn
.close
twilit comet
.close
devout snowBOT
dim path
.close
devout snowBOT
Available help channel!
dim path
Guys is it possible for us Humans to create an Blackhole with the mass of 0.0001% solar mass
devout snowBOT
Guys is it possible for us Humans to create an Blackhole with the mass of 0.0001...
hasty cargo
Guys is it possible for us Humans to create an Blackhole with the mass of 0.0001...
1 not with current technology
2 not the place for ts
3 <@&268886789983436800>
troilling
modest dagger
I don't think they are trolling.
dim path
bro im not trolling im asking 😭
hasty cargo
well explain this then.
hard shoal
Hes trolling dawg
hasty cargo
?
hard shoal
get jit outta here
modest dagger
How is that indicative of trolling?
hard shoal
bro came in n asked 1+1
hasty cargo
How is that indicative of trolling?
asking obviously random questions in an absolutely inappropriate place
and not following conduct
for the 2nd time
modest dagger
asking obviously random questions in an absolutely inappropriate place
But we do get good faith questions on topics adjacent to math.
"This isn't math" =/= "trolling"
hasty cargo
But we do get good faith questions on topics adjacent to math.
i find this absolutely unrelated amd sounded like a 10 year old tryna sound smart
dim path
im 14 gng
modest dagger
Anyway, rather than accusing people with pings why not redirect them. You realize we have #old-network right?
hasty cargo
Anyway, rather than accusing people with pings why not redirect them. You realiz...
ig
modest dagger
im 14 gng
The physics server in the network channel is more appropriate
for your physics question
coarse flume
Guys is it possible for us Humans to create an Blackhole with the mass of 0.0001...
Ain't that heavier than earth
dim path
gng
modest dagger
"Facebook +1"
modest dagger
This really is probably too far outside the scope of math for anybody to be particularly helpful here beyond what you'd get asking some rando on the street.
Also kinda general and not really a math "help" q. I'm gonna close this. Probably physics server is the best option. One of the general discussion channels might also be reasonable.
.close
chrome salmon
devout snowBOT
chrome salmon
can someone pls help
I got the the simplifying point
1/(121sec^2theta)
I took the 121 out so
out of the integral
so its just 1/sec^2
silk falcon
<@&268886789983436800>
chrome salmon
okay
silk falcon
you could take the x^2 out and it would become x^3 then you can let in terms inside the bracket be t and you have the derivative outside
chrome salmon
Do i convert that to cos^2
chrome salmon
you could take the x^2 out and it would become x^3 then you can let in terms ins...
what x^2
silk falcon
Or if you are using trigonometry, then you can let t=121tan(thete)
if you find it hard, think it this way, its $\int \frac{dx}{(a^{2} + x^{2})^\frac{3}{2}}$
woven radishBOT
Ankur
chrome salmon
okay
silk falcon
yes
now you have to change x with a trigonometric function which can work like 1+ (fx)^2
silk falcon
yes
silk falcon
ok and what did you get?
chrome salmon
121sec^2x
chrome salmon
yes
silk falcon
so what is denom now?
silk falcon
or to keep it simple, (11secx)^3
fluid blade
i solved... wait a sec
fluid blade
here
chrome salmon
and do 1/secx =cosx
chrome salmon
right
fluid blade
it does help to visualize it
yes yes.. its a good question it took me 3 times😭 im not good at trigonometry formulas
chrome salmon
me neither 😭
ur good
ima close this
ty all for ur help
i appreciate it
.close
devout snowBOT
devout snowBOT
Available help channel!
peak valley
hi so can someone help me with my ledging or something its buisness studies ans pretty simple but im not grasping it and i dont think i did this right
devout snowBOT
hi so can someone help me with my ledging or something its buisness studies ans ...
devout snowBOT
@peak valley Has your question been resolved?
devout snowBOT
devout snowBOT
Available help channel!
fleet fjord
Yo bot
wind mason
?
wind mason
ok, label layla's current age x and miya's current age y
what does the first sentence tell us about x and y? can you relate them?
fleet fjord
That x is equal to y four years ago
wind mason
how would you express that with just an algebraic equation
fleet fjord
X = y - 4
wind mason
i don't think so
if layla is one years old, miya was one years old four years ago, so that must mean she's five now
so x=y-4
fleet fjord
Here's what I understand on the second sentence
X +11 = y 1/2
devout snowBOT
@fleet fjord Has your question been resolved?
uncut crow
devout snowBOT
@fleet fjord Has your question been resolved?
fleet fjord
No
fallen thistle
for a, im pretty sure its a trapezoid but i dont know how to prove that ab || pq, can someone please help 🙏
devout snowBOT
for a, im pretty sure its a trapezoid but i dont know *how* to prove that ab || ...
fallen thistle
the first part of the problem* not a
pearl relic
for a, im pretty sure its a trapezoid but i dont know *how* to prove that ab || ...
idk about a formal proof but you can use the fact that AQ and BP are each perpendicular to PQ
(tangents are perpendicular to radii)
fallen thistle
oh wait yeah forgot about that property, thanks! i'll try and use that
pearl relic
yeah
fallen thistle
.close
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devout snowBOT
Available help channel!
robust ermine
i give up fighting with gemini bro hallucinating sack of shit cant listen to simple ionstructions
y is iii wrong (trying to all possiblities - even + lesst han 7000)
i got it right once by taking cases like 7/8/9 _ _ _ 2/8
but im trunna do it another way
Cus some guy on reddit told me a good way to get good at permutations and combinations is to do as many quesitons as possible and do them in as many ways as possible
devout snowBOT
i give up fighting with gemini bro hallucinating sack of shit cant listen to sim...
robust ermine
YO
HOW DO YOU SPAWN WHENEVER THERES A PERMUTATION AND COMBINATION QUESTION BRO
every single time wihtout fail
uncut crow
i do not see much value in looking for a more complicated solution to this when there is a simple solution but whatever. you want to count how many are less than 7000 or even?
robust ermine
yea
uncut crow
your message is a little hard for me to parse
with run on sentences and poor notation
robust ermine
uhh
white elk
i give up fighting with gemini bro hallucinating sack of shit cant listen to sim...
are you trying to do 3?
robust ermine
your message is a little hard for me to parse
let me type it out properly then i guess
white elk
okay well you wanna think about the most forcing parts of the combinatorics
so if the number is greater than 7k, you can actually make cases on what the first digit can be
uncut crow
i believe he said he has already done that and gotten the right answer doing that
robust ermine
im trying to do iii
my previous attempt was breaking it up into cases like this -> 7/8/9 _ _ _ 2/8 from which i got the correct answer
but im trying to do it like all possibilities - even + less than 7000
because some guy on reddit told me that a good way to uh get comfortable with permutations and combinations is to alot of questions and do them in a bunch of ways
more legible yes ^^ ?
uncut crow
2 or 8 as last digit?
robust ermine
2 or 8 as last digit?
yeah
white elk
it says odd
robust ermine
oh
i just
roughly wrote that from the top of my head without much thought lol
because i did that yesterday
but i did get it right
solid perch
so are you trying to complement count (sample space - unwanted events)?
uncut crow
well if you want to do it the other way… you would want
total arrangements - (arrangements that are even or less than 7000)
robust ermine
so are you trying to complement count (sample space - unwanted events)?
yea
uncut crow
are you sure you worked with that correctly?
there would be some inclusion exclusion involved
robust ermine
well if you want to do it the other way… you would want
total arrangements - (ar...
total arrangements is 5P4
even is 2*4P3
odd is _ _ _ 2/3
2*4P3 also
so 5P4 - 4*4P3
damn discord markdown
robust ermine
are you sure you worked with that correctly?
found my working
yea i did
uncut crow
yea
that.. doesn’t look like a solution of this type
a solution of the complementary counting variety
like that is roughly how i would do the problem but i thought you wanted a complementary counting solution now
also hi annie 
robust ermine
that.. doesn’t look like a solution of this type
noo
this was when i got it correct
yesterday
oh
i thought
robust ermine
are you sure you worked with that correctly?
u were referring to like whether or not i got it correct uh the first time i did it
mb
uncut crow
lol no i was talking about complementary counting but that’s ok
uncut crow
well if you want to do it the other way… you would want
total arrangements - (ar...
do you understand this?
robust ermine
well if you want to do it the other way… you would want
total arrangements - (ar...
yea i think so
robust ermine
total arrangements is 5P4
even is 2\*4P3
odd is `_ _ _ 2/3`
2\*4P3 also
so 5P4 ...
is uhh
is that not what i did here
uncut crow
no i don’t see a solution there. what about the 7000 part for example?
robust ermine
no i don’t see a solution there. what about the 7000 part for example?
wdym 7000 part?
oh
wait
nvm
uncut crow
that’s a condition in the problem that needs to be considered but i don’t see it mentioned anywhere in your solution
robust ermine
that’s a condition in the problem that needs to be considered but i don’t see it...
uhhh wut is a 7000 part....
uncut crow
we are trying to count the arrangements that are less than 7000 or even
the less than 7000 condition should show up somewhere in your solution
but it did not. that’s all i was saying
robust ermine
so if a solution was less than 7000
the first digit would be 2 or 3 then whatever for the next 3 digits
so 2/3 _ _ _
isnt that 2*4P3
uncut crow
yea
robust ermine
yea
yea and uh
even is another
unwanted case
so
the last digit is either 2 or 8
isnt that also 2*4P3
uncut crow
yea
uncut crow
total arrangements is 5P4
even is 2\*4P3
odd is `_ _ _ 2/3`
2\*4P3 also
so 5P4 ...
sure. but that was not expressed very well here. it still doesn’t even make sense after your recent messages
and still you are forgetting about something
which is that you have counted some arrangements twice
namely the ones that are even and less than 7000
robust ermine
sure. but that was not expressed very well here. it still doesn’t even make sens...
my working was
all possibilities = 5P4
even = 2*4P3
7000 = 2*4P3
all - even + >7000 = 5P4 - 4P3
uncut crow
i know and that is wrong
robust ermine
so if a solution was less than 7000
the first digit would be 2 or 3 then whateve...
because
wait
2/3 _ _ _
like 2__8 could be a value here but
in my other case where i count all the numbers less than 7k 2__8 is also a possibility
so is it all - (less than 7k + even - less than 7k and even)
holy cRAO
uncut crow
so is it all - (less than 7k + even - less than 7k and even)
yes
solid perch
(trivia: this is called the principle of inclusion-exclusion.)
robust ermine
(trivia: this is called the principle of inclusion-exclusion.)
princple of frying my brain gangggggg
lol
let me write out the solution
uncut crow
principle of be happy with a simple solution
robust ermine
principle of be happy with a simple solution
principle of agreement
should i keep doing this
trying to do all the problems in different wayes
or just be happy with the first simple solution
uncut crow
i would be happy with the first simple solution and go do other problems
but sure, you are allowed to look for complicated solutions too
if that’s what you want to do then go for it
it’s not that looking for other solutions is bad
that’s a good thing
it’s just that like
complementary counting on ts problem is complicating it for no reason
robust ermine
2/3 _ _ 2/8
2 __ 8 4P2
3 __ 2/8 2*4P2
MAN
this markDOWN
so 3*4P2
are the cases whjere its less than 7lk and even
and then uh
5P4-4P3-3*4P2
tis 84
exatcly doubble the answer
robust ermine
complementary counting on ts problem is complicating it for no reason
i learnt dis da hard way
uncut crow
uncut crow
so is it all - (less than 7k + even - less than 7k and even)
are you sure you used this correctly?
uncut crow
lol