#help-10
1 messages · Page 87 of 1
university ??
ye
k
remember that $g^{-1}\circ f^{-1}$ is the inverse of $f\circ g$, if $(g^{-1}\circ f^{-1})\circ (f\circ g) = 1$ where $1$ is the identity
Denascite
well cause the equation I wrote down is true
oh whoops I forgot the other direction but that's similar
yh ok
im with u
since inverse composed with function is 1
and other way round is also 1
shouldnt it equal 1
oh
wait
its invertible
so it cant equal 1
so = x shows its invertible?
acc idk
You get back the original x value
Like look
25 = 5^2
sqrt(25) = 5
Thats how inverses work
yh makes sense
whats the 'show that if fog is invertible' got to do then?
That's what I did up here
Take the equation y = f(g(x))
Solve for x
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<@&286206848099549185>
Use log properties and then the trigonometric identity for tan2x
i gotta do it using lhopital rule
Is that a requirement ?
yep
Can't even use log properties?
Yeah the use log and then use l'hospital
@timid silo Has your question been resolved?
solved
i only used the lhopital
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Hi if I have 1,2,3 how can I calculate the number of variations of 1,2,3 for example 2,3,1 3,1,2 3,2,1?
number of ways i can order those numbers/items
wait sorry i think i asking wrong thing
permutations?
oh thats it i think
so my actual questions is this
I have 4 digits, each digit can be either 4 numbers, and I wanna calculate the amount of possibilities
of 4 digit combinations of the 4 numbers
no repititions like 1,1,4,4 but I accept repetitions of the same digits in different order like 1,2,3,4 and 4,3,2,1
So like
1, 2, 3, 4
1, 3, 2, 4
...?
Ordering matters here?
Because then I think it is just n!
Since we have 4 digits and we will use them all to arrange
And the permutations formula is $\frac{n!}{(n-k)!}$
VulcanOne
So when n = 4 and k = 4, you get n!
@lethal garnet Has your question been resolved?
ahh ok
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ty
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Can someone help me with this doubt?
In this question the first matrix is a singular matrix because the columns are dependent since the third column is the difference of the first and second, then it should be the case that it has one or infinitely many solutions.
also the third column is twice as b where Ax=b, then x=0,y=0,z=1/2 should be one solution, my question is it one among the many?
or am I missing something important, someone please help
then it should be the case that it has one or infinitely many solutions.
none or infinitely many solutions.
you kind of are missing something though tbh
this problem is easily solved by means of just doing the gaussian elimination thing on them both
wdym
Like the first part of the question says find whether they have solutions?
the number of solutions (zero, one or infinite) will be apparent to you before you find them
this pic alone doesn't let us tell
i think youre still kind of veering off in the wrong direction
okay so I am yet to learn the elimination method
yeah yeah
so you are expected to reason about this geometrically?
This is how I tried to reason it
but yeah elimination will also work
But then the solution is like this
likewise I got (0,0,1/2) to right so to check if it is the only solution Ig i should learn elimination method
okay one question can I say the columns of the matrix in the questions are dependent because the third column is the difference of the first one and second?
@royal basin
$C_3 = C_1 - C_2$ is a simple algebraic move away from a linear combination of the $C_i$ that sums to zero
Ann
could you put it in some other way I did not understand
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those both sound fine
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Can someone help with question 2 a?
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I’m lost for question 1c
do i just have to sub in (6-x) and use sin rule for the triangle
that seems like a lot of working out 😔
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how do i do this
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Sorry, channel closed earlier because I had to do something.
I know that the value of A is -2, but I’m not sure how to find B.
I have this equation y = 12 + a
@sage dagger Has your question been resolved?
still there ?
ye
what do you know about gradient of a graph at a point ?
i made a miro board explaining the steps, and if u zoom in a lot u can see the answers
Miro Lite is a free-to-use, easy-to-share online whiteboard. No sign-up or registration is required.
let me know if u have questions
the gradient would be 10 at Q if you are asking that
Thats not what Im asking
Like in general or in this question specifically
in general
the derivative at this specific point
Well the derivative of a specific point would be defined by a line like a tangent?
Well you can think of the gradient as slope for a 2D function
derivative isnt a line
Gradient
the gradient isnt a line too
I mean like
its just a number that represents the slope of a line
yeah
and the slope of the tangent of a function f at a point A(a,b) is f'(a)
So what equation do we use to find B
?
If we know the value of A is -2 how do we find B
A : capital letter
okay but if a is -2
different of a
how do we do b
$$f'(x) = 12x^2 + a$$
$$f'(-1) = 12 + a = 10$$
$$a = -2$$
Herels
I’m not sure if we are still using the same equation to find b
should I remind you that the function passes through Q(-1, 1)
yeah I know it passes through there but I’m not sure which equation I’m supposed to plug in those values into


$$f(x) = 4x^3 -2x + b$$
$$f(-1) = -4 + 2 + b = 1$$
Herels
its just logic, not some algorithms
f passes through Q
so of course, Q is like this : (-1, f(-1))
@sage dagger Has your question been resolved?
x*(x+1)/2
Thanks @spark arrow
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only if x!=-6
idk what ! means
not equal to
ohh
try keeping everything on one side of the equation and factoring instead
so instead of cancelling the bracket you factor it out
okay I got it, theres 2 solutions right
yeah
and by doing this theres only gonna be one

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when crafting succeeds do you lose all things or 5 things
either way starting with a recurrence relation should help
@inner nest Has your question been resolved?
Do you want the expected number of crafting attempts for n things?
@inner nest Has your question been resolved?
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am really struggling with washer method, did i set this up right?
disregard the terrible diagram
nvm this is wrong
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I'm assuming I set them equal to 0, find their derivatives and set them equal to 0
and do the same with f''x?
@mint mantle Has your question been resolved?
Wdym f''
f double prime
Oh no no my guy, you don't take "derivatives" of a 3D function
You gotta find their gradient or their partial components
I mean partial
Whats your gradient for z
f_xx(x,y)
Just use second derivative test
ok ill try that
do you have any 3d graphing calculators you reccomend I use to visualize everything better?
Wolfram
Only on Mathematica
You know your second derivative test right
Well I mean if that's what it's referred to then sure
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hate to do this again but I suck at rearrangement
when I rearranged it I got 10.67111
10.6711111111 from desmos
wait nvm.
forgot a 0 in the 0.03
sorry
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✅
brrrr 2 unknown variables
would you be able to multiply (2.576*1/5) over sqrt(n)?
no clue what's going on here
or multiply everything by 5 to get rid of 1/5??
Well sigma would have to be a number then
yes but do you see how you have sigma on both sides
ofc
so divide both sides by sigma
I really wish I knew how to use wolfram or whatever spooky math bot is ha
I can get 2.576 from a t score table, and I understand that
but how would you even divide it when sigma has 1/5
oh that's not the accepted align form hm
so if you divide 1/5 sigma by sigma do you eliminate sigma?
yes unless sigma=0, that's one of the first things taught in algebra
because $\frac{\sigma}{\sigma} = 1$ for $\sigma \ne 0$
IV
alright
so even if we do eliminate sigma, when I do 2.576/root(n) and simplify I don't get 165.8944
write your full working out
ye
but write your full working out
because you're doing some part of the algebra wrong and until you show everything we're going to spend too long guessing where you went wrong
when you square 2.576/sqrt(n) what happens to the right hand side
squares 1/5?
ye, and you forgot
indeed I did, thank you so much!
also it's wild you're doing this in desmos
but it's still good practice to write both sides of the equation every line
my desk is too small to fit all the stuff, I have the notebook behind me on a completely diff desk but I gave up at going back n forth since its 1:00 am i need sleep
thanks again!
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I’ve been trying to do it for a while and i cant get it
are those like...areas?
no, just numbers
oh some pattern bs
yeah
thats some weird shit
ik, i havent been able to solve it
lmao just share ur brain bro
why
I was saying it looks like some I Q test
why is I Q blacklisted? 
dunno, i thought i was getting muted again
I see something
<@&268886789983436800> yo just a quick question, but why is the word I Q blacklisted?
We cannot say it
64-8=56 and 7-4=3
yeah i got that
but idk how to continue
i found various relations but idk
ΙQ

I'm an approved server member
starts dumb arguments.
I can say whatever I want
please do not filter evade
Ok
gotcha

anyways i think i solved this
👀 very curious how
Even I'm lowkey curious
i can't figure it out 
i need to verify tho
it is very flimsy connections i noticed 
do u know the answer by any chance? @latent notch
lmao
whats the answer you got?
What's the pattern ya identified?
im so curious 👀
wait let me see if it is right before i explain something that is wrong
Me more curious than u
Nah dw just explain

oh wait
it wasn't area of the squares
?
eh can't solve it either way
no it is some pattern bs
classic
nope
oh okay time to think again
it’s not 441
264?
i managed to figure out how u get the 8 and the 56, but the 64 and x i am not sure 
this is so difficult 
how do you get them
im confused
like ive been trying for like 4 hours
idk!
66 😎
👀 is it right
4+3 = 7 ,so to get 9 , 7 + 2 = 9, so 56 + 8 = 64, 64 + 2 = 66 
i am not sure if it is a true connection, but i found 8 and 64 by finding the difference of the parallel small squares and subtracting that from the small square
so like
Wait
base 2 tho 
it is not 66

waht answer
It's 56*3
i need answer to go to sleep 
You're welcome
apparently the answer is 4
What..
yeah those type of questions are just dumb, u could link up the numbers in so so many ways lmao
wait may i know why
yeah
56*3 should definitely be a valid answer
let me explain
ngl 3 sets of values is not enough information
There is a very clear pattern there
yeah
and 66 should to
but it says here answer is 4
bc it goes in diagonals
Let me explain
it’s 18 because according to me the rule is that on the right side you multiply the inside number by 2 to get the outside number
even with the 4 there I see no pattern 
Same
very relatable 
lmao i love how quickly this channel turned into a he-said-she-said conversation
Reason you get 56x3 is because 3x3 is 9
And we also see that 64 - 56 is 8
At the same time as 7 - 3 is 4
Here is 4 the number in the inner square
And 8 is the number in the outer square
let me check
i got one
send em in
6, 17, 45, 72
find the next number
hm
its 69
lol
haha funny number x2
incorrect ms snow


,calc 72 * 3 -6*6
Result:
180
,w Table[19 - (295n)/12 + (251n^2)/24 + (19n^3)/12 - (11n^4)/24, {n, 1, 5}]
idk it looks right to me 
Ye fr even I got the same answer
are u continuing that table-ing fiasco here as well 
what do you mean i do this every time theres a "find the sequence" question 
is it > 72 or < 72
based
were they random numbers
LMAO
💀
bro what

i’m sorry TwT


and i really spent 5 minutes trynna solve

Bro April is yet to come
but now i have trust issues
its okay i bet half the people here thought u were right 
i mean heres the sequence 
I was in my heart
ok snow was right, it was 69
Wtf
question solved

69 fr?
qait ill send mine
find the sequence extra difficult: 1, 2, 3, 4, 5 what is 6th number
its 69
👀
that’s exactly the pattern i was thinking
yes!!
what a coincidence 
ofc
I have a funny video on Einstein
💀
But I don't think it will be appropriate to send in server tho

,w Table[n+63C(n,6), {n, 1, 6}]

sending now
1 choose 6 lol
This pattern only occurs one time tho, while the pattern of adding or subtracting numbers in the inner squares to get the number in another inner square and also doing the same for the corresponding outer square occurs 3 times
Lemme just send that to my math teacher
Sounds dumb but I'm still going to stick with 56*3
there was only 3 sets of values
The product of three positive numbers is 2018. What are those numbers?
also gonna email it to my prof now
so there's prob not a set pattern
11/10
ur professors sure will love middle-school pattern puzzles
hey an actual problem
hes a 69 funny number enjoyer
lol its easy its 1009 x 2 x 1
he has a thing called fun friday
Ill send a real one now wait
👀
But are that the only possible numbers?
Nvm im dumb
Yeah it is
Kinda hard to factor 1009 tho
2018 * 1 * 1
Wtf
2018 * pi * 1/pi
It's a positive number tho
integer was never specified 
uhm
We have 31 boxes in total, each one with more than 1 coin in them. There are 25 that have more than 2 coins, 17 that have more than 3 coins, 9 that have more than 5 coins and 6 that have 6 coins. No boxes have more than 6 coins in them. How many coins are there in total?
$e=3=\pi$
Clarkie
anand
.
how do u say that
9 that have more than 6 coins. no boxes have more than 6 coins in them
?
"9 that have have more than 6 coins" then proceed to say no box has more than that?
Bros question harder than collatz conjecture
what do you mean
i edited it
lmao layla
i was scrolled up reading it T_T
what
or am i missing something
bro its easy

We have 31 boxes in total, each one with more than 1 coin in them. There are 25 that have more than 2 coins, 17 that have more than 3 coins, 15 of them have 4 or more coins, 9 that have more than 5 coins and 6 that have 6 coins. No boxes have more than 6 coins in them. How many coins are there in total?
visible confusion
can i too
146
this problem makes less sense than my 4 random numbers

is this just an english problem
welp my reading comprehension skills are very... questionable
DOOKI
also there is overlap between the conditions for the boxes, i am not sure how u r meant to figure out which one has what in that case 
just make them all have the maximum possible 
WHERE TF IS DOOKI
dooki master troll
i am pretty sure this was just a question out of their ass
dude came up with a problem on the fly and is panicking trying to solve it atm

lmao
@latent notch hello 
Won't the answer have like
A maximum value
And a min value
Like the max the box can have
Nd min?
the answer is 69
Then I'll go with 69.9
Bros percentage increasing again and again
I get more and more confident as dooki edges me
nono you can’t have .9 coins
Nvm I'll go take to my cow bro
Wow i take that back. This pattern actually occur only once
let me explain
Think some of you said that too but i didn't pick up on it
DOOKI
Phftt
this channel really is wilidin' 
dooki is it 3
i am very confident
there are 2.9 coins
We have 31 boxes in total, each one with more than 1 coin in them. There are 25 that have more than 2 coins, 17 that have more than 3 coins, 15 of them have 4 or more coins, 9 that have more than 5 coins and 6 that have 6 coins. No boxes have more than 6 coins in them. How many coins are there in total?
Imagine dooki coming out of no where and in dark says
let me explain
DOOKI

,calc 66 + 53 + 32 + 46 + 28 + 16
Result:
103
NOOOOOOOO
ah yes, squares
minecraft coins 
you don't know whether 6 of them have 4 coins or 5 coins though
That's what I said there will be multiple answers
Like a maximum and minimum value
thats how many of each one, so 6 x 5 + 5 x 3 + 3 x 2 + 4 x 6 + 8 x 2 + 6 = 30 + 15 + 6 + 24 + 16 + 6 = 97 coins.
Broo u said 9 with more than 5
Cheating
bro pulled out the goodnotes 
Uaaaa
yeah exactly
its so goooooood
look battery percentage
6 have 6 coins and 9 have more than 5 which is 6 of them have 6 and the 3 that are left have 5
i prefer onenote


Skill x100
What are the chances
Probably snow hacking his ipad

yall want another one?
Tbh a lot I have a folder with more than 100 pics 💀
Of my screen having 69
no
saves his moments of 69
hmmmm is everyone in this server super smart
not me
absolutely not
I actually am a step in devolution
hmm
Layla, lexqa, snow god
They are servers unpaid professors 💀
hmmm
Spiders approve
Probably 💀💀💀💀
i think so far, i know three people here that are genuinely brains with turing machines 
👀
Try Schoolhouse world or smthg ig
(Ya forgot to count yourself in)
no
there is no goddamn way
@wild swallow the x coeff has to be 0
💀
Clarkie
HUH


AHAHAHA SNOWS NAME MADE IT LATEX
Now ik why snow did that 💀
Imna learn jee adv meth by next year
anyways do we just
Bro in class 12
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UAAAAAAA

My motivation is to help ppl here
it was fun while it lasted
Yee fr
whose channel do we take over next?
✅
yayyyyyy
nvm
oh
AYO

Lmaooo
yeah too late ig
What percent of queries can i answer here if I learn complete jee advanced meth
We already did the credits tho man
hmm what is advanced meth

ok guys
depends on if you actually do well or not
quite a bit ig
Yep
im going on an adventure to wrap some presents, I discovered that im terrible at it
No high school stuff in India
👋
hmm but what is that
Actually quite less coz when ya do jee iit vagera ya will forget all the basic stuff that mainly gets asked here in server
👀
Ok imna learn jee meth by next yr
didnt even solve my problem smh
meth
ill send one too. x+1=0, solve for y
And bro thinks he can be active while preparing for jee hahhh 💀
y has to be an integer
And spend my entire day answering queries in this sarvarr

@devout sable prepping for jee rn 
oh wow i totally didnt see that
sending
Oh no
Motivation++++
be my math tutor 
i’m in bed so i don’t want to try it 
@devout sable is muted so he cant even say anything 
Rn I'm dumb.. . Lol
what did he do lmfao
jee prep
ohh yeah
Ooof
so voluntarily
Is private tuitions not preferred in Canada?
issok its a hard one lmfao
someone teach me number theory some time 
try to get to 20 using four 9.

60?%
less
50%?
$$\frac{99}{9}+9 = 20$$
can you smush two nines to be 99
anand
because that would be easy
Idk bro
i want to attempt your question but im not sure how should i approach it 🤔

ye exactly what i had in mind
it feels like i have to do some weird counting
correct
Yea most peeps askin graduate meth nd bsc
Ok I feel so pro I feel I can finally prove maths wrong.
ok series now
i hope i didnt set the number too high lmfao
i got a series now
Oh shit
x is in R right?
calculate the number before and after in the following series: … 29, 31, 37, 41, 43, 47, 53 …
x is in {2} 
?
Arnet all of em primes?
What's the next prime after 53?
57?
Idk
+petschge
57 is not prime haha
probably 69
😭
ms snow has corrupted my brain
Bro feel in her matrix
thats quite accusative to do for ms snow 
using four 8, do the operations necessary to get to 120
i mean suing 8 , 8, 8, 8 get to 120
oh wait i got it

is it (8+8)x8-8
correcccctttt
:>

In a maths exam, 60% of the class has passed. A second optional exam chance is given to the people who didn’t pass, but only half of them show up. 50% of the students who didn’t pass the first one pass this one, in total 28 students have passed. How many students didn’t pass any exams?
Lol
sounds like my class
Bro is anyone still here
lol
Bayees theorem?
Just do it
If its bayees I can't
I will only say if the final answer is correct
I'm pretty shit at that
its not bayees
isn't it 12
correct
:>
Dem
Bruh wtf
wait how
What I wanted vs what I get
Its 40
40 students in the classroom
10% passed after retesting
so 70% passed total
so 28=7/10 of class
so all of class = 28 x 10/7
yeah bravo
yeah and 40 - 28 = 12
💀
fr
alright, have a good day bro
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where should I go?
To another one...
whoa
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Hello, I need help with 15 and 17, I'll translate them
im assuming for 15 you are finding the area of the shaded part?
- Determine the general equation of the line p
ah,
I already did the area for the shaded part which was 16
so do you know the standard form of a linear function
Yeah this
m being the slope and b being the y intercept
