#help-0
slate monolith
https://www.desmos.com/calculator/mz36je6kjx
no solution, only guidance
visual kernel
sure
alpine sable
like books
slate monolith
like books
?
visual kernel
guidance pls
alpine sable
i just want to learn all school math
alpine sable
trigonometry?
slate monolith
this is the basics in highschool
algebra II/trig go together
depends on the school
visual kernel
where is my guidance
alpine sable
can i get books
slate monolith
where is my guidance
im tired 🥱
slate monolith
do u think channel is for talking about booksj
its w/e
alpine sable
@slate monolith but what is the book
slate monolith
<@!484888077760725003> but what is the book
????
there are thousands of books online
alpine sable
for geometry
alpine sable
idk lel
fickle dock
Hey, so we haven't really gone over this material but I'm still curious, how would you solve a problem that says something like this:
After rolling two 40-sided die, what is the probability that their sum is ≥ 15?
slate monolith
Hey, so we haven't really gone over this material but I'm still curious, how wou...
P > 0
fickle dock
damn that was fast
slate monolith
ikr
fickle dock
but what does that mean
fickle dock
oh lmao
fickle dock
so far we're doing these kind of problems but we're counting the number of possibilities by hand
slate monolith
ah
fickle dock
so like 6-sided die and sums ≥ 11
fickle dock
yeah
slate monolith
well ur experince is the same as mine
slate monolith
yes
slate monolith
mhm
fickle dock
= 1,600
slate monolith
wait are we counting moves that have the same pair
strong furnace
Hey, so we haven't really gone over this material but I'm still curious, how wou...
Application of binomial theorem(multinomial theorem)
oak chasm
@fickle dock So, for the first die, you have a 1. How many values on the second die give you a sum of 15 or greater?
alpine sable
is this busy rn
fickle dock
yeah sorry
oak chasm
40 - 14 + 1
alpine sable
no worries
oak chasm
You have 14 as the lowest number that works with 1 to give a sum greater than or equal to 15.
fickle dock
why the +1 then
fickle dock
but does it not count 0
oak chasm
There are 40.
You take away 14 of those, which are the first 14 values.
You add the 1 back in.
[15 .. 40]: 40 - 14
[14 .. 40]: 40 - 14 + 1
fickle dock
ok makes sense
oak chasm
OK, so the first die is a two. How many values of the second die work?
fickle dock
and as you're increasing the roll of the first dice by one, you're decreasing the amount of possible rolls of the second dice by 1
40 - 15 + 1
oak chasm
Not exactly.
If you have a two, it's even easier to get at least 15, so more work.
40 - 13 + 1
fickle dock
oh ok yeah
fickle dock
and that pattern should follow until you get to 15
fickle dock
or nevermind jesus I'm dumb
oak chasm
Because everything works.
fickle dock
ya
oak chasm
So, when does that happen? When the first die is 14.
Because the second die can be as low as 1, and that works.
fickle dock
so when the first dice is 14 through 40, then the amount of possibilities for the second dice is 40
ocean sealBOT
Chai T. Rex
fickle dock
O.o
oak chasm
So, we start of i at 27. We add 1 to i to get 28. We add 1 to i to get 29. And so on until we hit 39.
Then we add all those numbers together.
fickle dock
oh that's for the limited rolls of dice #2
oak chasm
Yes, that's for when you have only some rolls of die two working.
fickle dock
ya
oak chasm
40 different rolls of the second die times 40 - 14 + 1 different rolls of the first die.
fickle dock
for the rest of the rolls the value is already ≥ 15 so there's 40 - 14 + 1 possibilities for each roll
ocean sealBOT
Chai T. Rex
oak chasm
,w Sum[i, {i, 27, 39}] + 40(40 - 14 + 1)
ocean sealBOT
fickle dock
I see, yeah that clarifies it a lot
oak chasm
Yes, that's right.
fickle dock
cool! 🙂
oak chasm
See if it reduces. If not, that's your answer.
fickle dock
it does not
oak chasm
OK, so that's it.
fickle dock
so you could use the binomial theorem for this as well?
oak chasm
Sorry, too tired to see how right now.
oak chasm
No problem.
oak chasm
@hearty cliff Get f(x) by itself.
alpine sable
Chai T. Rex can you help me after you help him? If possible.
In #help-1 I sent my problem but nobody responded cause they might be busy.
hearty cliff
<@!736135100961521744> Get f(x) by itself.
i did that but after that im stuck
oak chasm
What do you have now?
ocean sealBOT
Chai T. Rex
hearty cliff
oh okey
oak chasm
Then, take derivative of both sides.
hearty cliff
thank you so much
oak chasm
No problem.
dire patrol
anyone help me with this please
i am getting negative
like v^2 = -2(25-x^2)
why is there no negative 2
why only regular 2
flat vale
I don't get how it doesn't give me the same answer
logₑ(4/15)/logₑ(3)
logₑ(4/15) = -logₑ(15/4)
jagged imp
why would it
flat vale
∴ logₑ(4/15)/logₑ(3) = logₑ[(15/4)-3] = logₑ(3/4) no?
rigid smelt
it seems like you mess up between the change of base and quotient rule
jagged imp
wrong use of log law
i think you're thinking ln(a-b)=ln(a)/ln(b) right?
its the other way around
flat vale
ye
jagged imp
ln(a)-ln(b)=ln(a/b)
jagged imp
nw
jagged imp
$\frac{\log_e\left(\frac{4}{15}\right)}{\log_e(3)}$
ocean sealBOT
111211211111221312211
ocean sealBOT
111211211111221312211
jagged imp
$\frac{\log_e\left(\frac{4}{15}\right)}{\log_e(3)}=-1+\log_3\left(\frac{4}{5}\right)$
ocean sealBOT
111211211111221312211
flat vale
thanks @jagged imp !
jagged imp
nw
flat vale
ah okay
rigid smelt
im not sure how to say it, but like its supported on word and such
so you can probably write in microsoft word and export the file as pdf
pliant estuary
im not sure how to say it, but like its supported on word and such
The Word thingy kinda sucks, best to do for a begginer is to use some browser-based editor like Overleaf
rigid smelt
hmm ok, i dont usually use it outside of here
ivory otter
hey
i got this question
so i did
i used one of the gradient formula
$\sin kx = k \cos kx$
ocean sealBOT
MEOWBRO 父
ivory otter
but im getting the wrong answer when i plug in
rigid smelt
what did you plug in?
ivory otter
4 * cos(4*0.3) = 3.9
rigid smelt
seems good
ivory otter
isnt the right answer
ocean sealBOT
rigid smelt
was your calculator in degree modes?
ivory otter
yes
rigid smelt
it should be in radians
rigid smelt
because we consider trig functions to be in radians
trig functions are graphed according to radians
ivory otter
i see ok
vale wigeon
**MEOWBRO 父**
this is bad and wrong and you should not be using the equals sign that way
that's like saying 1 = 0 to mean "the derivative of 1 is 0"
ivory otter
how then?
vale wigeon
how what
if you want to write "the derivative of sin(kx) is k cos(kx)" then write that
$\dv{x} \sin(kx) = k \cos(kx)$
ocean sealBOT
Ann
vale wigeon
is that what you were asking about?
vale wigeon
don't rely on other people being able to decipher what you meant from "how?"
ivory otter
the "how" was pretty obvious
you made a statement
and immediately after i replied with "how"
hollow pelican
guys how to do 1j?
vale wigeon
have you been able to do parts a-i?
hollow pelican
yea
vale wigeon
all of these problems follow the same principle
make a substitution like u := sin(x) or u := cos(x) or u := tan(x), whichever is appropriate from context, and get an algebraic equation
vale wigeon
you should write $\tan^2 x$ if you insist on not putting parentheses around the x.
ocean sealBOT
Ann
hollow pelican
ok
vale wigeon
but yes that'll reduce your equation to a quadratic in disguise
alpine sable
Is anyone good with proving quadrilaterals
I've been trying to work out how to prove quadrilaterals since this morning
And no matter how many people explain it to me, I don't understand it one bit which is out of character for me because I generally pick things up immediately.
alpine sable
How come my teacher stated all of this then?
vapid swift
yeah i just gave you for two sides ...similarly you can prove all the sides are equal
alpine sable
Right. How does that rekate to diagonals bisecting each other at right angles though?
relate*
vapid swift
with that you can prove that the triangles are congruent
just try to remember the properties of a rhombus
alpine sable
103 * ?^103 = (roughly)42
90 * ?^90 = (roughly)35
what is (roughly)?
pulsar aspen
I have a problem with my statistics
I have 1 variable and 2 response variables. I want to test for the correlation between the two. What statistics testing should I use?
MANOVA too?
pulsar aspen
<@&286206848099549185>
dire pilot
Does anybody know of a book/website for algebra 1 and/or the beginning of geometry I am kinda looking more for algebra but either would work
pliant estuary
Does anybody know of a book/website for algebra 1 and/or the beginning of geomet...
I think that Khan academy is favorite among alot of people
sleek elbow
is there no dutch translation for khan academy? @minor crypt
minor crypt
wait there's translations
sleek elbow
<:pogwhat:707471809250983948> wait there's translations
when I went on the website it was german 🤷♂️
minor crypt
dont they have like a shit ton of videos
I refuse to believe all of them are translated to German
this is all they offer in Dutch
only maths up to "the beginning of algebra"
not really beginning
more like the laws of algebra
sleek elbow
I refuse to believe all of them are translated to German
idk how much 🤷♂️
minor crypt
I hope its more than what they offer in Dutch at least
alpine sable
use triangle stuff
random pelican
use triangle stuff
than its 90?
alpine sable
what is 90
alpine sable
you are asked to find the height of the building or what
random pelican
you are asked to find the height of the building or what
how tall
alpine sable
motherfucker ping me one more time I dare you
random pelican
motherfucker ping me one more time I dare you
what
random pelican
can anyone help?
alpine sable
was this negative 12 gotten from these two numbers?
sleek elbow
x / 45 = tan(45°) try to go from there
random pelican
i didnt understand
sleek elbow
i didnt understand
do you know trig?
sleek elbow
i dont think so
then its probably not the way they want you to solve it
random pelican
thats 1st grade thing
vapid swift
was this negative 12 gotten from these two numbers?
they used integration by parts , now in the second part the derivative of (3t+5) is 3 and integral cos(t/4) is 4sin(t/4) so these two get multiplied to give you 12 ...check the formula for integration by parts to be more clear
toxic thorn
random pelican
but its asking a resolution for me
a photo
of resolution
its in portuguese
but it dont say anything
yes
we have a scheme
void thicket
you can use tan(theta) here
alpine sable
Hi! could someone have a look on a rather standard lwa of large numbers question I just posted?
https://math.stackexchange.com/questions/4186080/sum-of-centered-random-variables-with-finite-variance-converges-almost-surely
random pelican
oih ok
chrome olive
Can someone help me, how would I solve
Solved
indigo junco
A question : do we have this assertion
When a sequence converge in L^p(0.T;X) implies the convergence in X!?
X is a banach space
chrome olive
Can somebody please help with this
I tried looking in different places I thought that would be a very common question
muted raft
use binomial theorem
chrome olive
I am unsure how to use binomial theorem, could you please explain?
glass lichen
$(a+b)^n=\sum_{i=0}^n\binom{n}{i}a^ib^{n-i}$
ocean sealBOT
Mosh
chrome olive
That's useful thanks
slim elbow
Can someone tell me how to calculate this? I think I’m supposed to use LCM but I don’t know how to do it. If anyone can do it explain it to me.
glass lichen
,rotate
ocean sealBOT
stable siren
Can someone tell me how to calculate this? I think I’m supposed to use LCM but I...
deal with the signs first
languid python
whats 1+1-1+10
spiral solar
hey. i recently learnt that the polar form of i = 1[cos(pi/2) + i.sin(pi/2)]
can some one explain how we got pi/2 ?
sage summit
pi/2 is the number in (-pi; +pi] such that cos(pi/2) = 0 and sin(pi/2) = 1
alpine sable
What is the foundations of all mathematics I’ve been currently learning a little bit of category theory and think it’s the foundations of all mathematics although I’m not sure
halcyon meteor
nvm ill go to a different channel ig
placid zinc
Set theory is the usual foundation
alpine sable
Set theory but what about the thing where a set inside of a set paradox?
glass lichen
that was why sets were redefined from Cantor's original one
placid zinc
In regards to your original question - why does that matter?
Some things can't be sets. Doesn't mean they still aren't a useful foundation
alpine sable
Because I wanna learn math from the ground up ive still learned a few subjects other than category theory and appreciate them but they seem a little specific
placid zinc
But you bring up an interesting new question, that basic set theory seems to have issues. We do fix them with a better version of set theory
alpine sable
I like to read math in very constructive way like building definitions but you have to know the most basic roots to construct it I remember one guy saying if I wanna learn to bake a cake I would have to learn to construct the entire universe first
glass lichen
that's stupid, ill just say it
glass lichen
Learn cosmology to pour flour into a bowl
alpine sable
I’m not interested in natural sciences more of a formal sciences
sleek mist
Am I typing the command to solve this matrix the wrong way? I'm getting something different than on the example here
glass lichen
Am I typing the command to solve this matrix the wrong way? I'm getting somethin...
well the stuff on the right isnt complete
since the augmented matrix isnt [I|b]
sleek mist
since the augmented matrix isnt [I|b]
wdym by [I|b], and it's not complete? The matrices is for irreducible partial fraction decomposition, and i've been solving matrices with a calculator the entire time
ionic jewel
wdym by [I|b], and it's not complete? The matrices is for irreducible partial f...
the handwritten work is not complete
the 3x3 matrix is not the identity matrix
the calculator is right, the written work is right but incomplete, if you finished it you would get the same answer
clever locust
They are lol
ruby pier
I'm pretty sure they are too
thorn kindle
Rule out the ones with division
ruby pier
Because of 0?
thorn kindle
Yes
clever locust
Rule out the ones with division
? why
thorn kindle
But the other statements are always true over R
ruby pier
What about the third and fifth option?
clever locust
If the denominators are zero, then both are undefined, but the statement is still true
ruby pier
Yeah 0 was the only counter example I could think of
clever locust
All are true
thorn kindle
If the denominators are zero, then both are undefined, but the statement is stil...
You cant set undefined expressions equal to each other
Not over R at least
glass lichen
wdym by [I|b], and it's not complete? The matrices is for irreducible partial f...
[I|b] means the identity matrix augmented with a constant vector, and the working on the right is incomplete cause it's not the identity matrix
thorn kindle
Which is presumably the domain
clever locust
To be fair, there is nothing saying they are on R either lol, it just says they are equal
So I think it's very fair to assume all expressions are defined
thorn kindle
Not really
thorn kindle
Given the level of this question i doubt youd be dealing with the extended reals or some wheel math
ruby pier
I agree with AMD but what about the other expressions? Im pretty sure those are definitely true
clever locust
Given the level of this question i doubt youd be dealing with the extended reals...
Fair lol but you could just be dealing with R / {0} in the cases where 0 causes them to be undefined
Either way, the question is just stupid and not well defined
Imo
ruby pier
I agree
clever locust
If we assume we are working with R and the standard arithmetic operations, which we most likely are, then all (except the division ones in the cases of zeros) should be true
alpine sable
Can someone tell me how to calculate this? I think I’m supposed to use LCM but I...
find the LCM after dealing with the signs.
3/7 - 6/11 - 8/11 + 5/22
the LCM of 7, 11, 21, 22 is 462 (21*22)
198/462 - 252/462 - 176/462 + 105/462
put them all over 462 to help simplify.
(198 - 252 - 176 + 105)/462 = -125/462
clever locust
So it's a bad question
slim elbow
find the LCM after dealing with the signs.
3/7 - 6/11 - 8/11 + 5/22
the LCM of...
Okay, thanks man. Appreciate it
clever locust
For example, take the fifth option, which should give us the left hand side as
$$x-y=x-x=0$$
and the right hand side as
$$y-x=x-x=0$$
and as we OBVIOUSLY have
$$0=0$$
it is true
ocean sealBOT
Lorago
clever locust
The fact that it is marked as incorrect is just wrong
sullen karma
51 percent answered correctly its just a bad question
clever locust
You should tell you teacher/professor that their questions in wrong lol
ruby pier
51 percent answered correctly its just a bad question
I dont have the origin of the question a friend sent to me and I was like wtf
sullen karma
oh
tiny acorn
Is it correct
If not teach me how
queen wigeon
Is it correct
looks good
tiny acorn
looks good
oh ok
coral pagoda
Yea, you understand what's being presented so far. Good job!
tiny acorn
thx
coral pagoda
Only thing I recommend is for you to switch the first semi-colon in (iii) for a comma. That way the way you answer things are consistent
tiny acorn
thx
fervent valley
(e^x)(1-x)-1=0 how do u solve this? (changed again)
quartz stone
e^(x(x-1)) = 1
fervent valley
no
quartz stone
oh thanks
fervent valley
now its right
I know x=0 is solution, but i dont know how to see if there are others
quartz stone
I know x=0 is solution, but i dont know how to see if there are others
i was gonna say i knew a solution but couldn't prove it was all
Ok if it's that one it's a bit easier iirc
fervent valley
?
quartz stone
pao was but hopefully we can finish off soon
Your question also seems quite simple if it's a case of the textbook being wrong
quartz stone
It should be y = -x + 1
fervent valley
`e^x` is always positive too 🙂
but when u calculate 2nd derivative, u have f''=-(e^x)(1+x), which is only zero for x=-1, not x=0
quartz stone
but when u calculate 2nd derivative, u have f''=-(e^x)(1+x), which is only zero ...
why must second derivative be 0?
fervent valley
because its a maximum, no?
quartz stone
The first derivative is 0 at a maximum, and the second derivative is either negative or 0
But anyways, this is for local maximum
quartz stone
If you want global maximum, you can show that the function always decreases outside some range
fervent valley
If you want global maximum, you can show that the function always decreases outs...
hmmmm
quartz stone
So you find all the maxima within some range and pick the maximum one from there, and show the derivative is positive before that range and negative after that range, and then you have proof it's the maximum
-xe^x is always negative after 0 and always positive before it for example
warped phoenix
How would I solve
ocean sealBOT
TheMane3
quartz stone
Have you been taught the Raphson method?
ionic jewel
isnt there also that p,q method
quartz stone
Guess?
ionic jewel
rational root?
quartz stone
rational root?
ye
warped phoenix
how do i guess/do rational root? 😅
ionic jewel
i mean the real answer is just use a calculator, but rational root is easy enough here
quartz stone
I don't know what algebra 2 is, but if you've just been taught long division, they probably want you to guess
ionic jewel
i forgot how to do it though lol
ionic jewel
bruh
warped phoenix
but i would need to set x as something right
ionic jewel
that makes it a lot easier
just graph it
all the rational roots are between -4 and 4
so it should be easy enough to find
ionic jewel
,w x^5+x^4-x^3-4x^2-2x+4=0
warped phoenix
how do i zoom in to my calculator to see the x intercepts?
quartz stone
how do i zoom in to my calculator to see the x intercepts?
Depends what calculator you have
fervent valley
So you find all the maxima within some range and pick the maximum one from there...
thanks!
warped phoenix
like an actual led screen
quartz stone
bunny: it's -x^3 btw
ocean sealBOT
quartz stone
Ah thanks
ionic jewel
ah yes what a nice looking solution
quartz stone
I mean not that horrible
ionic jewel
i was talking about the third one
and the complex ones for that matter
but idk how you would possibly find sqrt(2)
obviously rational root thm doesn't work since nothing there is rational
quartz stone
like an actual led screen
Move the cursor to where you want to zoom and press enter
ionic jewel
there's also a function that finds the roots
quartz stone
but idk how you would possibly find sqrt(2)
I think you can factorise it into a quadratic and a cubic
I'll check though
ionic jewel
i don't have my calculator, but it's like the 4th? button on the top row
quartz stone
,w factorise x^5+x^4-x^3-4x^2-2x+4
quartz stone
hmmm
quartz stone
Well either i divide it by hand or
quartz stone
Ye
ocean sealBOT
warped phoenix
how do i do long division with polynomials
quartz stone
how do i do long division with polynomials
don't worry
warped phoenix
ik what synthetic divison is but not long divison
ionic jewel
even then the cubic is unsolvable too (for humans)
quartz stone
The only use is if they told you there were integer solutions
warped phoenix
im zooming into my graph but i can never get y = 0 so i can look at x
the closest i get to is y = 1e-8
ionic jewel
why are you zooming in
warped phoenix
to see the x intercepts
ionic jewel
it should just look like this
ionic jewel
yeah
warped phoenix
from my calculator
ionic jewel
theres a calculator function for that
ionic jewel
can you send an imagine of your calc by any chance
warped phoenix
sure
ionic jewel
i dont remember and i dont own a TI anymor
rich vessel
If is the radius of circle 1 and R of circle 2, and nr=R, what distance will circle one make traveling on circle two when it revolves once?
solar pebble
Newton raphson hehe
warped phoenix
It looks the same as it does on desmos
solar pebble
don't shoot me
warped phoenix
Now what
ionic jewel
then you have to set the left and right bounds on the graph
warped phoenix
What is that
ionic jewel
so first pick a location just to the left of the first root on the graph
oh the graph
then pick one slightly to the right
then it will tell you the root
you can use arrow keys to move them
oh then you have to make a guess too
warped phoenix
Well it’s moving me across the line
ionic jewel
pick a point as close to the root as you can
warped phoenix
x = 0.81053571
warped phoenix
:0
ionic jewel
to get the other two
warped phoenix
woahhhh
thats cool
my teacher is asking if there are any multiplicities
whats that
warped phoenix
oh so if there are two identical roots?
slate monolith
yes
warped phoenix
ahhh ty
slate monolith
well 2 or more
warped phoenix
right
@slate monolith if they're opposite they're not multiplicities id assume right
x = (-1.41, 0) and x = (1.41, 0) in my case
ionic jewel
they are not
warped phoenix
oh ok
ty for showing me the trace thing
thats really cool
how do i find relative minimums and maximums though?
slate monolith
<@!484888077760725003> if they're opposite they're not multiplicities id assume ...
yes they have to be the exact same value
slate monolith
how do i find relative minimums and maximums though?
calculus
warped phoenix
idk calc....
slate monolith
well u can find the vertex if its a quadratric
thats basically it
vertex is max/min depending on concavity
warped phoenix
its a polynomial function tho not a quadratic 😭
slate monolith
are u given the graph
warped phoenix
yes
warped phoenix
she wants us to write out tho
slate monolith
show the q
warped phoenix
we have to use our calculator
slate monolith
warped phoenix
not desmos
slate monolith
without calc u cant
warped phoenix
oh dang
slate monolith
ask them
mighty berry
the derivative of tanh is 1/cosh^2, so can I just do 1/(cosh 4)^2?
1/745.74 wasn't correct, so I'm not sure how else to do it
vale wigeon
the derivative of tanh is 1/cosh^2, so can I just do 1/(cosh 4)^2?
but why would you take the derivative of tanh(x)?
mighty berry
is that not how you find the area of a region bounded by a function?
vale wigeon
it is not
you're mixing up derivatives and integrals.
what you need here is $\int_0^4 \tanh(x) \dd{x}$
ocean sealBOT
Ann
mighty berry
... that would explain a lot
okay, thanks!
side question, does cosh^2 x = (cosh x)^2?
vale wigeon
yes that's what the notation cosh^2(x) means
steel bronze
sleek elbow
post your question @steel bronze
sleek elbow
oh I see
mighty berry
in that case, I'm going to post another question if no one minds...
for this one, wouldn't it just be the integral of cosh x? since cosh^2 x - sinh^2 x = 1, then can I make the integrand cosh x / cosh^2 x?
vale wigeon
the integral of **1/**cosh(x), if you insist
but there's a reason they write it that way
mighty berry
oh, why? my professor didn't go in depth on this
vale wigeon
you can make a substitution that makes the integral reasier to calculate
u := sinh(x)
mighty berry
ohhh, so it becomes 1/1+u^2?
wait, isn't that the derivative of inverse tangent?
would it be tan^-1 (sinh x)?
vale wigeon
ohhh, so it becomes 1/1+u^2?
parentheses.
mighty berry
oops, uh, 1/(1+u^2)?
vale wigeon
yes
alpine sable
Ann can you help?
slate monolith
Ann can you help?
just ask
alpine sable
Do i put sin x (15) 21
slate monolith
what is sin
glass lichen
Do i put sin x (15) 21
why is there a random x?
alpine sable
why is there a random x?
Its times
glass lichen
what are you multiplying..?
alpine sable
what is sin
Wdym whats sin do you want me to explain socatoah and the sin rule
glass lichen
and * means times in type
slate monolith
Wdym whats sin do you want me to explain socatoah and the sin rule
im asking u to explain it
yes
what is sin the ratio of
alpine sable
what are you multiplying..?
Idk thats why im here mayn😭
alpine sable
what is sin the ratio of
Of
glass lichen
that's the vertical segment, yes
arctic jay
Trying to learn polynomials for my free time and I got this question on a paper I found.
The question was if x - 2 was a factor of 3x^3 - ax^2 - 6x + 8
Find a and the remaining factors.
I got a by putting x = 2 into the equation (from x - 2 = 0). I'm not sure how I identify or even get the 'other' factors
slate monolith
Trying to learn polynomials for my free time and I got this question on a paper ...
divide P(x) by x-2
then factor that quadratic
arctic jay
Oh I see
Is there a long division method for this? Been most comfortable using that
Nvm found it
glass lichen
Is there a long division method for this? Been most comfortable using that
you use long/synthetic division to divide polynomials.. yeah
arctic jay
i'd never used long division for algebraic expressions ;-;
But I just got it!
3x^2 + x - 4
and then factorise I got (3x+4)(x-1) which is the expected answer
keen crane
but which identity
ionic jewel
double angle
sage jacinth
how would you use cos(2a) identity for 1-2sin^2(a)
sin^2(x)+cos^2(x) = 1
expand cos(a+a) then work from there
slate monolith
how would you use cos(2a) identity for 1-2sin^2(a)
dont use it
use the sin(2a)
u legit dont need cos(2a)
sage jacinth
actually you need it at the end if you want it to be fully simplified
lament horizon
Hello Guys, i want to start learning math from very bigginig level, what do you recommend from where i should start learning, in the way that i can see real use in science or everyday life, i want to learn than calculus
slate monolith
Hello Guys, i want to start learning math from very bigginig level, what do you ...
what grade are u in now
orchid kayak
Eyo I need some help
slate monolith
eee
orchid kayak
What do I do after this 0 = √3 - x² + 7x - 1?
Or I did something wrong in the beginning
hushed pasture
What do I do after this 0 = √3 - x² + 7x - 1?
yeah
alpine sable
what grade math is that?
orchid kayak
9th
hushed pasture
(2 sqrt(3))^2 == 2^2 x sqrt(3)^2
lament horizon
what grade are u in now
I studied scholl, but not well, and i want to start from beggining
sage jacinth
so basic algebra?
orchid kayak
So, I got 12 in the right
sage jacinth
i would honestly just go through khan academy until you get to calc
orchid kayak
which is that -12
slate monolith
I studied scholl, but not well, and i want to start from beggining
be more specific
how old are u
orchid kayak
I am confused
hushed pasture
guys how to proof limit when x goes to 0 of xLn(x) without using hopital???
ocean sealBOT
(バカ) baka
lament horizon
be more specific
I am 24
slate monolith
guys how to proof limit when x goes to 0 of xLn(x) without using hopital???
dont
sage jacinth
guys how to proof limit when x goes to 0 of xLn(x) without using hopital???
well you cant use lhopitals rule
slate monolith
i cant think of anything else
slate monolith
well you cant use lhopitals rule
ofc u can
hushed pasture
lnx/(1/x) is indeterminant
I now this one but i don't want to use hopital
slate monolith
well yeah
sage jacinth
xln(x) has to change, but he doesn't want to use lhopitals
orchid kayak
@sage jacinth So the thing that I did wrong was the first line ye?
sage jacinth
wolfram probably just uses lhopital
sage jacinth
<@!421820531155795970> So the thing that I did wrong was the first line ye?
yea you are supposed to end up with x^2-7x=0 after subtracting the right hand side
orchid kayak
k thanks
gimme a minute rq
hushed pasture
didn't find any answer to it 🥲
I usually proof limits without using hopital in case of 0/0 because it's just the derivative of the upper function
lament horizon
@slate monolith any suggestions
sage jacinth
solve for x
hushed pasture
So this will turn to x² - 7x = 0
factorize with x
orchid kayak
Alright, lemme get the delta first
slate monolith
<@484888077760725003> any suggestions
how are u 24
sage jacinth
also have you guys seen MSolved Tutoring?
orchid kayak
also have you guys seen MSolved Tutoring?
Never heard of him
slate monolith
lmao
full canopy
to prove that x^x goes to 1 you need the first limit
orchid kayak
I forgot how I factorize with x for only a + b = 0
hushed pasture
https://www.youtube.com/watch?v=SzSstFn-PgQ
well it's 0^0 which means math error😂
sage jacinth
yea and the graph is wrong
sage jacinth
x(x-7)
orchid kayak
Mk
sage jacinth
you just remove the x
slate monolith
did u try it yet
noble crypt
well i know the answer already
slate monolith
;-;
sage jacinth
im pretty sure its just d
noble crypt
Why you say that?
noble crypt
Hey hey hey i wanted HIM to explain
slate monolith
Hey hey hey i wanted HIM to explain
did u just assume their gender
noble crypt
It is A
ionic musk
i get why y<0
hushed pasture
it's d
noble crypt
No its A
sage jacinth
it could be both
noble crypt
i have the explanation for it as well
ionic musk
but why is x<y?
queen wigeon
d does not take into account that x and y cannot be 0
slate monolith
well yes but
noble crypt
alpine sable
can someone please help me with expanding brackets i learnt it long ago and ive kinda forgotten everything
vague coral
vague coral
google is a thing but np
ionic musk
i would have never thought about it that way
alpine sable
I know
noble crypt
lol
alpine sable
I just don't know where to start from
noble crypt
i have so many more of these math riddles
ionic musk
can show us another one?
noble crypt
ionic musk
thx
full canopy
@hushed pasture for your limit i think u can use squeeze theorem
lnx<x for all positive x so you can write 0<xlnx<x^2 and apply the limit to see 0<xlnx<0
devout plank
anyone good with calculus?
hushed pasture
<@!676906205205102628> for your limit i think u can use squeeze theorem
lnx<x fo...
i like this one man thank you very much, i stuck in it during the exam, i tryna proof because i wasn't sure about it but this one is such a good proof
full canopy
no problem 🙂
ionic musk
i think its F
noble crypt
Wrong.
noble crypt
Its just D
ionic musk
oh
noble crypt
Fucntions that are netiher odd or even show no symmetry whatsoever
flat apex
Yep
noble crypt
and thats the only oen that fits that
ionic musk
but
alpine sable
oh god i have my maths test tommorow
noble crypt
i mean if u want to sure
ionic musk
ty
wraith cairn
thunderstorm here
ionic musk
are there multiple answers for this riddle?
noble crypt
Nope, only one letter is correct
noble crypt
tell me why you think its c
alpine sable
oh god i can't remember what ive done since the beginning of the year nononnonononnonono
ionic musk
because y is a functino of x
in B y isnt a functION OF X
in B, x is the function of y
D and A arent function
idk what A and D are but all i know is that they aren't functions
only C was a correct functino
E i didnt try to figure out what it was
because C sounded the most correct to me
noble crypt
The phrase y i s afunction of x means that the value of y depends upon the value of x
ionic musk
woah
noble crypt
are you sure
cunning robin
mhm
noble crypt
c is your final answer
ionic musk
yes
ebon quail
https://www.chegg.com/homework-help/questions-and-answers/imagine-taking-hershey-kiss-cutting-half-placing-half-kiss-coordinate-grid-flat-wide-base--q58971304
could someone explain to me why the function y has the power to the 4 please?
alpine sable
cunning robin
33°
ionic musk
i dont understand english terms
alpine sable
ionic musk
2pi . r
alpine sable
can you help me @cunning robin ?
cunning robin
4pi*(2)^(1/2) so d
cunning robin
can you help me <@525415550168596489> ?
sure wait
alpine sable
thanks bro
cunning robin
since bd bisects the angle ABC, it means ABD + CBD = ABC
alpine sable
4pi*(2)^(1/2) so d
dont tell them answers give them hints so they learn how to do it themselves
cunning robin
ahh okk mb
alpine sable
since bd bisects the angle ABC, it means ABD + CBD = ABC
so what woukd the degrees be?
@cunning robin
help
help
pls
bold mist
Autocorrelation function question!
I'm trying to find the autocorrelation in a time series of dihedral values (0 to 360 degrees)
I wrote myself some Fortran to do it on reals following https://www.itl.nist.gov/div898/handbook/eda/section3/eda35c.htm
But that's for reals. What changes do I need to make this work for angles?
(Code here https://pastebin.com/h2JV5CaG)
leaden ocean
I dont really understand the question here, can someone help me wrap my head around it and where to start please, thanks
whole prairie
What is the limit process for derivatives?
slate monolith
What is the limit process for derivatives?
whole prairie
Thank you
glass lichen
Mixing notation 
slate monolith
Mixing notation <:sully:651816820122189834>
wut
ocean sealBOT
Mosh
slate monolith
ah
merry burrow
jagged imp
yes.
minor crypt
thats correct my child
void reef
could someone please explain me the second part?
I don't understand how it goes from P(GS n PP) to P(PP | GS) * P(GS)
astral stump
help im dumb! anybody able to help me figure out what i need
some way to take the "U" numbers and enter a formular to get the "Y" numbers
v and w are a fraction of U
gray isle
y = 1/u
ocean sealBOT
ℝamonov
woven flume
that looks wrong
gray isle
it's one of the most common exponent laws
frosty cloak
I am stuck
woven flume
this
gray isle
yes those aren't equal
woven flume
is the notation I sent not the first one?
frosty cloak
gray isle
but that's not what you have in your question
woven flume
oh ok
frosty cloak
@velvet pulsarmatic
gray isle
are those 
when you applied binomial theorem invisible to you
gray isle
Comma not -
woven flume
,rotate
ocean sealBOT
woven flume
is this working right
frosty cloak
Guys how I can solve this
oak chasm
@frosty cloak Sorry, this channel is busy. Please see the rules and tips for getting help in #❓how-to-get-help.
frosty cloak
Based on this ( BEEKEEPERS KEEP BEES ) and I need to count total numbers of bits required to encode the text using the three that was built first
oak chasm
@woven flume One problem is that a negative sign inside a power should remain inside the power. You should have (-3)^r.
gray isle
and you messed up (-3/x)^4
woven flume
how so