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#help-23
clever ridge
why does $10e^{-t}$ antiderivative become $-10e^{-t}$
safe radishBOT
why does $10e^{-t}$ antiderivative become $-10e^{-t}$
flat frigateBOT
wakamole
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dusty cosmos
can sum1 help me
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can sum1 help me
dusty cosmos
i needa find x
lean otter
equilateral triangle
dusty cosmos
its isosceles
sleek plank
since its isosceles, the bottom 2 angles must be equal
which would then mean the third angle is equal to 180-2*60
which is 60
sleek plank
so all three angles are 60
and only equilateral triangles have three 60 degree angles
dusty cosmos
oh
sleek plank
you could have also used law of sines if you didn’t realize it was equilateral
and gotten the same answer
safe radishBOT
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reef aspen
Can someone teach me how to set up a differential equation for this question?
reef aspen
There are too many variables and I am confused by the prompt
safe radishBOT
@reef aspen Has your question been resolved?
random helm
,
random helm
an issue on function solution:
when i am doing a problem like :
f(x) is a function on R.For any a, b ∈ R, f(a+b)+f(a-b)=2f(a)*f(b).f(0)≠0, and there exists a positive m,s.t. f(m) = 0.Find a T(T≠0), s.t. f(x+T)=f(x).
the solution in ans for reference is like:
f(0+0)+f(0-0)=2f(0)*f(0).
∴f(0)[f(0)-1]=0, and f(0)≠0, ∴ f(0) = 1.
For any a ∈ R, f(0+a) + f(0-a) = 2f(0)*f(a), ∴f(a)+f(-a)=2f(a),
∴f(a)=f(-a), indicating that f(x) is an even function on R.
∵f(m)=0,∴f(x+m+m)+f(x+m-m)=2f(x+m)*f(m)=0,
∴f(x+2m)+f(x)=0,∴f(x+2m)=-f(x).
and my issue caused here
in the ref sol it replaces x in the term 'f(x+2m)=-f(x)' with x + 2m and gets:
f(x+4m)=-f(x+2m)=f(x).
so is the replacement legal?
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@random helm Has your question been resolved?
left gyro
so is the replacement legal?
yes
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chilly wraith
guys is that a math question or not? cause it is in the middle of my homework
chilly wraith
help 😐
upper basalt
Translate?
chilly wraith
nah just look at the numbers these words are from another question
mental forge
Okay, this looks like some pattern analysis
upper basalt
What are you supposed to do with the numbers
chilly wraith
I remember answering it 6 before but I forgot my logic in answering it 
mental forge
And, was that correct?
chilly wraith
And, was that correct?
yeah
mental forge
Okay, so we are now certain that we gotta look for some logic herr
mental forge
Okay, this looks like some pattern analysis
As I said
chilly wraith
As I said
I think there is a relation between 9 and 3 to give us 5 but I don't really know what
mental forge
This is hard bruh
terse lichen
right grid has same pattern as left grid?
mental forge
Are you sure that arabic text ain't related to this?
chilly wraith
Are you sure that arabic text ain't related to this?
nope
chilly wraith
Are you sure that arabic text ain't related to this?
Its just says find the answer :|||
mental forge
Oh
You must remember some bits of the logic you thought
Like something
<@&286206848099549185>
chilly wraith
<@&286206848099549185>
waxen sphinx
maybe show us the other square?
chilly wraith
maybe show us the other square?
the one with 5, 7, 2,6 ?
its another question
and the arabic text doesn't lead to anything
there is a relation between 9 and 3 that gives us 5
I think
these both have the same idea, the first picture you multiply 1 and 6 then add one to get seven, and multiply 4 and 3 to get 12 then add one to get 13, so the answer of the first picture is 1
the second one , when you look at the first square, 8+9 = 17 , add the sveen and carry the one, so 9 would be 10 then add it to 7 so it would be 17, carry the 1 and 4 would be 5 then 5 + 3= 8
so in the second picture the answer is 6
<@&286206848099549185>
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@chilly wraith Has your question been resolved?
mental forge
This one is really tough, for it is not solved still
I have no idea how to initiate this
chilly wraith
I have no idea how to initiate this
wait I solved it 
962 - 568 = 394
726 - 289 = 437
so the answer 6 is correct
FINALLY
.close
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mental forge
This was a very good question actually
How simple shit, but felt like impossible to find out
Opens up the mind
Good you find it out yourself
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trail otter
How to solve this limit?
[\lim_{n\to\infty}n\tan\left(\frac{\pi}{4n}\right)]
flat frigateBOT
Slowaq
long oracle
What have you tried so far?
long oracle
As a start maybe take advantage of tan(x) = sin(x)/cos(x)
long oracle
lhopital?
Uh if it’s of the appropriate form I suppose yeah, but not really needed here
trail otter
As a start maybe take advantage of tan(x) = sin(x)/cos(x)
ah yes i can try that
long oracle
Or when x tends to zero tanx is x
I.e tanx/x goes to 1, which is implicitly the same thing as above
long oracle
Yes you would if you’re not aware of that fact
knotty pier
Mmm..
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agile wraith
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agile wraith
can someone explain how this result in blue is reached
I am also curious why the way to get to the result is different from a and b
but more importantly how is a done
<@&286206848099549185>
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@agile wraith Has your question been resolved?
mellow cypress
can someone explain how this result in blue is reached
It’s just the matrix such that the basis vectors of B are the columns of the matrix.
Applying this to vectors in the space B gets you to canonical space (which is C in this case). To get a vector in canonical space to B space you would apply the inverse which is what is happening in (b)
twin prawn
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twin prawn
all correct?
versed wave
👍
twin prawn
is Angle 1 and 4 alternate interior or exterior? ill answer either way cause both are congruent anyway based on theorem
cedar void
is Angle 1 and 4 alternate interior or exterior? ill answer either way cause bot...
erm
they'll be equal
but are not alternate angles
1+2 and 3+4 will be
twin prawn
theyre both perpendicular anyways
wait holdon, what theorem is this
twin prawn
like i know they’re perpendicular; but how do we know that they’re equal?
cedar void
like i know they’re perpendicular; but how do we know that they’re equal?
since 2 and 3 are alternate angles
they'll be equal
twin prawn
since 2 and 3 are alternate angles
they'll be equal
ohhhh
cedar void
1+2 and 3+4 will be
and hence cancels out in this equation
twin prawn
exterior?
cedar void
exterior or interior
they''ll all be interior
Exterior ones are greater than 90 degrees
twin prawn
Exterior ones are greater than 90 degrees
does it also apply in this case? the one next to the 5x - 20 and the one before 3(x + 10) are exterior aswell and they look like acute angles
also; theres like a tip given by someone that if u have 2 transversal lines; essentially “cancel out one first” so that you can focus on that first set of angles or something
twin prawn
also; theres like a tip given by someone that if u have 2 transversal lines; ess...
its hard to explain in this but here is what i mean
cedar void
does it also apply in this case? the one next to the 5x - 20 and the one before ...
Obtuse* you meant
cedar void
I got what you mean
twin prawn
alr so recap:
Alternating (Interior Exterior) and Corresponding angles are congruent
Same Side Interior-Exterior Angles are supplementary
safe radishBOT
@twin prawn Has your question been resolved?
twin prawn
sorry one last thngg
is this correct? heres how i got it (sorry for blurry pic btw)
3 and 4 are vertical due to them being nonadjacent; 1 and 2 are interior alternates
since there is a right angle in between angle 3 and 2 therefore 3 and 2 must equate to 90 (ive experienced this problem before and someone told be that if an angle is 90 degrees; the angles surrounding it must equate to 90, though idk what statement (postu, theo, coro) it is)
cedar void
since there is a right angle in between angle 3 and 2 therefore 3 and 2 must equ...
It is just that the Sum of all the angles of any triangle is 180 degrees
since one of them is 90 degrees then other has to be add upto 90 as well
twin prawn
since one of them is 90 degrees then other has to be add upto 90 as well
gotcha
twin prawn
this is a right triangle correct
cedar void
this is a right triangle correct
yeah
twin prawn
and is there any other way to explain without having to use polygons (unit 1: lines and angles hehe)
cedar void
and is there any other way to explain without having to use polygons (unit 1: li...
I don't think so
maybe trigonometry
if lenghts are given
twin prawn
if lenghts are given
pythagorean theorem?
cedar void
if lenghts are given
or at least ratio of lenghts is given
cedar void
pythagorean theorem?
That works only for lengths of a right triangle only
twin prawn
That works only for lengths of a right triangle only
oh
cedar void
it has nothing muchh to do with angle
twin prawn
gotcha
cedar void
however there is a law of cosine
cedar void
however there is a law of cosine
I am not sure if you know about it or not
twin prawn
however there is a law of cosine
ive heard somehwere but defo forgot
cedar void
ive heard somehwere but defo forgot
It's just Big Daddy of Pythagoras theorem
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steep magnet
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steep magnet
Ummm
I set f(x) and h(x) equal and got 0 and -1 as solutions
How do I prove it with that? 😅
vale oriole
try turning one of the functions into the other
hearty wolf
uhhh
safe radishBOT
As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.
hearty wolf
oh mb
steep magnet
usually functions with sqrts as we like to rationalise them
Wym by rationalize sry
grim plover
I will drop another hint: u have to use the a^2 - b^2 identity
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molten flume
letters of word PROBABILITY are arranged. the chance that two B and two I occur together.
so far I've solved is that:
we take BB as W and II as X, so we have to arrange PROWXALTY (9 letters). so total ways 9! and to arrange W and X, further 2! => total ways 9!×2!. but there are 2 B and 2 I, they are repeated, so we divide by 2!×2!. => total ways 9!×2!/(2!×2!).
and total cases of usual word PROBABILITY= 11!/(2!×2!)
safe radishBOT
letters of word PROBABILITY are arranged. the chance that two B and two I occur ...
flat frigateBOT
cali_owt
steel agate
river oriole
its weird putting the two I’s together
they can be separate
if you say theyre x and put it together youre getting rid of combs
molten flume
**cali\_owt**
buy my answer is wrong
vale oriole
there arent a further 2! ways to arrange W and X there should be a further 2! for W and 2! for X, but those cases should have been ignored in the first place tbh
molten flume
there arent a further 2! ways to arrange W and X there should be a further 2! fo...
can you explain it more
you sound right, but i don't understand
vale oriole
well W is BB which has 2! ways of being arranged and X is II which has another 2! ways of being arranged
but u can just ignore them since it doesnt matter which B is first its still BB
molten flume
so shouldnt it be 2!×2!×2!.
first for W and X, and then 2! each for letter inside W and X
molten flume
but u can just ignore them since it doesnt matter which B is first its still BB
but we also have to divide by repeated cases. 2 B and 2 I mean , divide by 2!×2!
vale oriole
but we also have to divide by repeated cases. 2 B and 2 I mean , divide by 2!×2!
yes but u could have ignored it in the first place
river oriole
so it cancels out
vale oriole
there was no point in multiplying by 2!2! only to then divide by 2!2!
molten flume
there was no point in multiplying by 2!2! only to then divide by 2!2!
apart from numerical significance, I need to get concept right
so what will be final cases
river oriole
apart from numerical significance, I need to get concept right
the concept is you said BB and BB, but because BB, its divide by 2
like going in circles
theres no point
molten flume
so you mean it's 9!×2!×2! and nothing in denominator?
river oriole
no-
with the B’s together, you dont need to do anything. with the I’s together you dont need to do anything
the only thing you need is the IIBB or BBII
hence 2!
molten flume
there arent a further 2! ways to arrange W and X there should be a further 2! fo...
but he said this
molten flume
I've tried every thing possible. and because this actually giving right answer
river oriole
whats the actual answer
molten flume
2/55
river oriole
ahhh
molten flume
and for the denominator for whole big fraction, we need to have total cases for first word PROBABILITY, which will be 11!/(2!2!)
molten flume
😭.
river oriole
my comprehension skills are out of this world
anyway
you have 9 terms
so tis 9! right?
lets start with that
then you have BB and II as a group
its the same as I said before for these
so it becomes 2!/2! for the both
that leaves us with just 9! in the numerator
molten flume
can you please not focus on 'it multiply and divide by same number so let's not write it'
molten flume
if it's right, then answer will be right
river oriole
normally we have smth like AB
this we just 2! right?
but if we have the same letter
BB
its 2!/2!
river oriole
were not grouping the BB and II together tho
theyre together as BB and II, but theyre not BBII
wording of this question is hella weird lmao
river oriole
yo
molten flume
so for WX and XW, there were 2! for each of them
river oriole
this is the problem
its not WX and XW
if they were together, it would be a different question
molten flume
so for WX and XW, there were 2! for each of them
but if they are BBII and IIBB it's 2!×2! for each of the group
river oriole
also if they were together, the 9! just wouldnt work at all too
river oriole
but if they are BBII and IIBB it's 2!×2! for each of the group
yea its not
its like
molten flume
also if they were together, the 9! just wouldnt work at all too
exactly it would be 8!
molten flume
okay I get it now
we are supposed to keep BB and II together, and not W and X together
when I did 2! with WX it meant WX and XW
but W and X can be separate
we are supposed to keep only BB and II together. which are already together when we take W and X
so we arrange PROWXALTY simply with 9!
and no further arrangements
river oriole
yessss
molten flume
and when I was doing arrangement for BB and II, there's no arrangement possible. BB is only one arrangement, so no multiply or divide with by any number needed
I was confused because I saw repeated letters and I was stuck on dividing by 2!×2! for 4 letters
river oriole
yep
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wheat temple
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wheat temple
Hey im just on A and am wondering if it is negative
cause example
-/3/2
is equal to 30º right and its negative so why isnt one of the values -30
instead its 150
molten flume
see cosine is negative in which quadrant
then starting from 0° rotate to that quadrant, and add 30°
safe radishBOT
@wheat temple Has your question been resolved?
normal sand
How is (a-b)² = a²-2ab+b²?
lean otter
How is (a-b)² = a²-2ab+b²?
This is because (a-b)^2 = (a-b)(a-b). a times a is a squared, a times -b is -ab, you have two of those that are negative, so -2ab, and -b times -b is a positive b squared (this is the FOIL method, multiplying First, Outside, Inside, Last, and combining like terms)
safe radishBOT
This is because (a-b)^2 = (a-b)(a-b). a times a is a squared, a times -b is -ab,...
lean otter
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sacred fjord
I understand most of it, the only thing I don't understand is the step where 6x turns into 3x and 2 into 1
safe radishBOT
I understand most of it, the only thing I don't understand is the step where 6x ...
crude star
2/6 = 1/3
sacred fjord
ah so they just simplified it
crude star
yep
sacred fjord
ah alright, and they can because it doesn't do anything to the term as it will still be (x+2) after you times it with 1
crude star
Im not sure what u mean
crude star
sacred fjord
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surreal fable
Is this correct down to where I stopped?
safe radishBOT
Is this correct down to where I stopped?
surreal fable
am I going to have to do IBP there?
icy lance
nope
icy lance
is it an ln(x) on the right?
surreal fable
is it an ln(x) on the right?
q(x)?
icy lance
yeah
surreal fable
x ln x
surreal fable
$let y = e^{\ln x} \$
$\ln y = \ln e^{\ln x} \$
$\ln y = \ln(x) \cdot \ln(e) \$
$\ln y = \ln(x) \cdot 1 \ $
$\ln(y) = \ln(x) \$
$y = x$
flat frigateBOT
Tomi
surreal fable
so let me now put a minus there
surreal fable
by definition e^(lnx)=x
yeah i get thta
im jus tryna figure out why what i said is incorrect
surreal fable
i thought deriving it might make it clear
icy lance
you moved things from the exponent out front
-x=e^ln(-x)
you had e^[-ln(x)]
bit different
if it helps $$e^{-a}=\left[e^a\right]^{-1}$$
flat frigateBOT
AℤØ
icy lance
this seems fine i think
flat frigateBOT
Tomi
surreal fable
oh yeah, you also lost a 2
so here q(x) supposed to be from the original rhs
or from the standard form
icy lance
oh damn i missed something
icy lance
i have made an oversight
what happened here?
if you just divided by x then the right should be 2ln(x)
surreal fable
if you just divided by x then the right should be 2ln(x)
🙂 yeah
icy lance
oh dear
surreal fable
fuck
icy lance
sorry
surreal fable
nah i just made a really bad move there
icy lance
**Tomi**
just change the x before the ln(x) to a 2
and then youll be doing a substitution instead of IBP
surreal fable
and then youll be doing a substitution instead of IBP
if I write it in this form:
$\int \frac{2 \ln x}{x} dx + c$
here i cant simply by x right? or can i
nvm
that should be 2
icy lance
you cant factor the x into it if thats what you did
flat frigateBOT
Tomi
icy lance
try letting u=ln(x)
icy lance
nicely done
surreal fable
thank you very much!
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oak violet
is my selection correct?
oak violet
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lean otter
Function:
Calculate the sum of elements of their domain and range
lean otter
I tried creating an equation with two points
y = -4x + 17
in order to find a
but when I replace y with 4, I get x = 13/4
<@&286206848099549185>
flat frigateBOT
shawn_xu
proven burrow
so $b^2=9$ by definition
flat frigateBOT
shawn_xu
proven burrow
the range is ${4, 9, 5}$
flat frigateBOT
shawn_xu
lean otter
I tried creating an equation with two points
I tried this
proven burrow
it seems that some information is missing
lean otter
it seems that some information is missing
mm idk
proven burrow
i mean the mapping doesn't need to be able to be expressed as an equation
lean otter
i mean the mapping doesn't need to be able to be expressed as an equation
mm right
safe radishBOT
@lean otter Has your question been resolved?
safe radishBOT
@lean otter Has your question been resolved?
safe radishBOT
@lean otter Has your question been resolved?
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ionic zenith
for this question im having trouble visualising
safe radishBOT
for this question im having trouble visualising
ionic zenith
i know this but apparntly u cant just put the f(y) function
what does it mean between x=4 and x axis
the x intercept?
since x axis to me is the y=0 is it not
pls @ me if reply
trim birch
the x intercept?
the x axis is also known as the line y = 0
trim birch
what does it mean between x=4 and x axis
it means the region "cut off" by these two lines
it is the shaded area of the graph in the picture
ionic zenith
it is the shaded area of the graph in the picture
how would you find the volume around y axis then? how come is it 4^2 - f(y)
since isnt it that area shaded around y?
trim birch
here you cant just plug in the f(y) because there is a "space" between the area and the axis of rotation
ionic zenith
ok
trim birch
so in this example theres a space between the area and the y axis
so you have to use the washer method
$\pi * \int _a ^b R^2(y) - r^2(y)dy$
flat frigateBOT
NORMAL HUMAN
trim birch
so R(y) denotes the radius of the outer function and r(y) denotes the radius of the inner function
in this case your outer function is x = 4, and your inner function is f(y)
does this make sense?
i would definitely recommend looking up a video for better visual intuition
ionic zenith
could you depict/draw what the outer and inner function are if its fine
i tried graphing on desmos but cant figure whats the actual area and volume we find
ionic zenith
i would definitely recommend looking up a video for better visual intuition
ah okay thanks will do
like outer being the furthest away from the y axis
like idrk
trim birch
yeah
trim birch
like outer being the furthest away from the y axis
just consider a flat 2d "disc" being rotated around the y axis
essentially just a line segment
you can see it doesnt create a full circle, theres like a hole in the middle right?
ionic zenith
where at? lol
trim birch
for this question im having trouble visualising
in this picture the area starts at x = 2, and ends at x = 4
and theres like an empty space between x = 0 and x = 2
if you imagine just rotating the points from x = 2 to x = 4 around the y axis theres going to be a space right
because the segment from x = 0 to x = 2 isnt rotated too
ionic zenith
yep
flat frigateBOT
NORMAL HUMAN
trim birch
so now let the curve start at f(y) and end at 4
the formula for the washer shape made is
$\pi * (4^2 - f^2(y))$
flat frigateBOT
NORMAL HUMAN
trim birch
and then we just integrate this over the region we want
ionic zenith
**NORMAL HUMAN**
so thats like finding the area between 2 curves, but where its f(x) - g(x)
basilcy doing from 0 - 4 then subtract 0 - 2? - to get 2 - 4
then square cuz like pi*r^2?
trim birch
yeah
trim birch
and curve is needed to go up the y axis
wdym
ionic zenith
hmm well ill watch a video probably to fully understanding this but
its the line bounded - f(y)
i dont rly get why its f(y) not f(x) but eh
what if its between two curves, do you do pi * (g(y)^2 - f(y)^2)?
ionic zenith
how would u find the bound tho
trim birch
wdym?
ionic zenith
**what if its between two curves, do you do pi * (g(y)^2 - f(y)^2)?**
for say this around y
intergation between a and b
trim birch
depends on the problem
ionic zenith
i.e in this case ln3 and 0
trim birch
you just have to solve. you are given the lower bound of 0, and the upperbound of x = 4 goes into y = ln(4 - 1) = ln(3)
ionic zenith
just look at where it stops making an area on the y axis
okay thanks thats all
.close
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fleet summit
can anyone check my work
safe radishBOT
can anyone check my work
torpid fable
can anyone check my work
I believe your coefficient of 3 is too large
Since sin(…) can potentially reach 1, your equation could reach a value of 6, but the graph shows 5 is the highest point
safe radishBOT
@fleet summit Has your question been resolved?
ionic zenith
for iii
ionic zenith
this method makes perfect sense
however, why cant you do the integrtal from 2 - 0 of the f(y)^2 - g(y)^2
if we say make one f(x) and another g(x)
pls @ me if reply
since isnt the top line 2cosx and the bottom e^x/2 -1?
safe radishBOT
@ionic zenith Has your question been resolved?
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@ionic zenith Has your question been resolved?
safe radishBOT
@ionic zenith Has your question been resolved?
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@ionic zenith Has your question been resolved?
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@ionic zenith Has your question been resolved?
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lean otter
Q15
lean otter
@lean otter
what transformation did you try
I tried making k+1 square
But that didn’t do much
not really getting the idea but i think we'll have to apply a transformation on C3
Nono I’m talking about the 15th question
oops
wait
Lemme see
You understood that you need to apply the sigma on C1 right ?@lean otter
in 15th
problem
Yeah
But it’s a determinant not a matrix so can’t do that directly
I'll just show you
👍🏾
wdym
I just mean I’m waiting 😭✨
@lean otter did you get it?
I got this
Gosh it's been almost a year I've dealt with a determiniant lmao
You can’t put the summation inside the determinant
Try C2-C1
lean otter
You can’t put the summation inside the determinant
Why ?
That’s only for matrix
I can prove it that I can do it
lol
lean otter
Why ?
I’ll show you one min
if that's the case then I'll have to go over linear aljebra all over
Matrices and determinants
it's been a long time anyway
Hello
lean otter
Q15
@lean otter
Hmmmmm
one sec
@lean otter
Does that make sense?
I need some time ill try and solve it
lean otter
<@456226577798135808>
It’s cause you’re multiplying in determinants
lean otter
I need some time ill try and solve it
No problem tysm ✨✨
But that's not a determinant lol
The one you asked me
lean otter
The one you asked me
I told you it’s a determinant even in the q it’s 2 straight lines not square brackets
And it should be a matrix I think
lean otter
But it’s a determinant not a matrix so can’t do that directly
See
lean otter
And it should be a matrix I think
No it’s not
no idea to go about the problem if it's a determinant
i have a really narrow understanding of these
Aah I see
No problem thank you tho✨
desert swallow
Have you tried carrying out some row operations on the matrix
cedar void
no idea to go about the problem if it's a determinant
bro how will you even get a numerical answer while dealing with matrices
lean otter
Have you tried carrying out some row operations on the matrix
Yup I tried making k+1 square
still thunder
<@456226577798135808>
but you have to apply the sigma to whole column then... so you must have taken sigma 1 too
lean otter
Yup I tried making k+1 square
But it didn’t get me anywhere
lean otter
but you have to apply the sigma to whole column then... so you must have taken s...
You can’t take sigma at all here
You can’t sum individual terms in determinants
lean otter
bro how will you even get a numerical answer while dealing with matrices
right
I have school tomorrow but I can’t go to sleep without solving this💀
mhm
lean otter
mhm
Also what is pre university math?
sorry tho can't really recall things ill have to go over them
lean otter
Also what is pre university math?
Like high school?
lean otter
sorry tho can't really recall things ill have to go over them
No problem!
lean otter
Oh I see I have no idea where to put myself,cause my country has a completely different curriculum
i am in highschool yes
lean otter
Like someone who is not in uni
Were you able to solve it?
lean otter
Like someone who is not in uni
Aah I see
cedar void
Were you able to solve it?
yeah ig
still thunder
You can’t take sigma at all here
oh i see the whole row/column must contain that variable my bad
lean otter
oh i see the whole row/column must contain that variable my bad
Yup
lean otter
Oh I see I have no idea where to put myself,cause my country has a completely di...
Can someone tell me what role I should select (I know it’s unrelated to the question so feel free to ignore)
how old are you
17
do you go to school
cedar void
Can someone tell me what role I should select (I know it’s unrelated to the ques...
what's the system there?
lean otter
preuniversity math
lean otter
what's the system there?
We learn everything from calculus to 3d algebra to probability statistics so on
cedar void
I hate chemistry I can tolerate everything else
agreed
lean otter
I love math cause I’m good at it,that’s my only reason
lean otter
I hate chemistry I can tolerate everything else
I've read alot of chemistry too for competitives
I read clayden
Best book
lean otter
I've read alot of chemistry too for competitives
I literally can’t,I just 💥
lean otter
I read clayden
Idk what that is
cedar void
I literally can’t,I just 💥
fr literally
lean otter
I didn't prepare for any particular competitives lol
I do blackbook tho ,that’s fun
My parents put me in a jee coaching i barely go
lean otter
I didn't prepare for any particular competitives lol
I see I see
cedar void
Idk what that is
you gave JEE this year btw?
lean otter
My parents put me in a jee coaching i barely go
Same but I go everyday
lean otter
you gave JEE this year btw?
Nono next year
lean otter
Idk what that is
Colorful book for organic chemistry
lean otter
Nono next year
As in January
you can ask me that aswell
organic
and anything about calc
lean otter
and anything about calc
That I think I will do by myself 💀✨
cedar void
As in January
then here's you competitor
lean otter
no we don't have cal 3
lean otter
then here's you competitor<:awooDEMON:1019295512932909118>
Damn hi
it's cal 2 we study
in our curriculum
What is cal3
What does it include
Ye idk too
cedar void
please be easy on me, I was literally demolished by Advanced this year😭
lean otter
cal 3 would be multivariable calculus
lean otter
please be easy on me, I was literally demolished by Advanced this year😭
Jee?
Partial derivatives
Vector curves
lean otter
Parametric curves
lean otter
please be easy on me, I was literally demolished by Advanced this year😭
Oh you took a drop year?
Etc
Same
lean otter
Parametric curves
We did that in my coaching
cedar void
Oh you took a drop year?
have to
never studied competitive in 11th/12th
lean otter
Which year?
12th
Ok
When is JEE 2025?
January
nah i don't think you did it according to standard university text , they teach some methods go deal with competitive problems using parametrisation
Ok
I tried i didn't get it
sry
lean otter
nah i don't think you did it according to standard university text , they teach ...
Hmm I don’t know unless I see an example
I need to learn Matrices and Determinants again
lean otter
Maybe cause it’s batch1
Lmao same but I don't do much
lean otter
I tried i didn't get it
Bro why is no one getting😭
lean otter
Bro why is no one getting😭
Idk maybe wrong question??
lean otter
Bro why is no one getting😭
And maybe bcus idk Im not in 12th
lean otter
Idk maybe wrong question??
Idts
lean otter
And maybe bcus idk Im not in 12th
That’s probably why💀
lean otter
I studied it a year ago + no practice
You’re in 12th?
yes ?
i am 17 too
How did you do det in 11th?
lean otter
That’s probably why💀
I definetly need to touch Matrices and Determinants
i did almost all math in 11th
except probability and permutations
I see
Guys can you give me guidance for 11th and 12th
lean otter
How did you do det in 11th?
Because my coaching teachers sucked
lean otter
Because my coaching teachers sucked
Bro I got lucky all my teachers are from iit or nit
Literally every single one
They were so called head of departments as i was in batch 1 but they still they sucked
lean otter
Bro I got lucky all my teachers are from iit or nit
same
but they all still were bad
the chemistry teacher is good I am still in contact with him
lean otter
Bro I got lucky all my teachers are from iit or nit
Phy-iit Kharagpur
Math-some nit I forgot
Chem-iit Delhi
Phy chem-some other iit
lean otter
the chemistry teacher is good I am still in contact with him
I see I see
lean otter
but they all still were bad
I see I see
Can we get back to the question
I could just teach math better than my math teacher
how do we solve it
yeah
lean otter
how do we solve it
I tried grouping didn’t work
I tried Solving the determinant
Of
got an equation
lean otter
got an equation
But that will be painful to solve
lean otter
But that will be painful to solve
I solved it like that tho that was a method taught to me in 7th grade :-;
Why were you learning det in 7th💀
why were you learning at all in 7th
lean otter
Why were you learning det in 7th💀
My school taught it from 5th
I'm in 10th rn
But idk man
the answer for that
Maybe ask google?
Or use doubtnut
lol
I think I almost got it
lean otter
I think I almost got it
what did u get
I didn’t feel like simplifying but you have to apply transformation till c1 is only 2n take it out and then you can use summation of n natural no and eq to 72
correct!
still thunder
I think this is correct approach
still thunder
<@456226577798135808>
Here the flaw is that summation must not start from zero BUT 1
then we can do by @lean otter way
lean otter
aaa
still thunder
I think my brain will explode after this much brain stroming but at the end I got the reasoning 🙂
lean otter
okay so I was thinking right @cedar void you distracted me buddy!
cedar void
okay so I was thinking right <@809691997672964096> you distracted me buddy!
huh?
what did I say?
lean otter
None
@lean otter case you took and the the thing I did are entirely different we can put the summation inside
In the problem you sent
You can think about it intuitively by basic idea of summation of determinants
@cedar void if you're a jee aspirant why don't you study chemistry
cedar void
<@809691997672964096> if you're a jee aspirant why don't you study chemistry
It's actually my brain has become so analytic that it doesn't compile chem anymore
cedar void
chem is analytic lol
definitely not💀
lean otter
competitives make things boring
cedar void
for sure
lean otter
definitely not💀
lmao definitely yes
cedar void
lmao definitely yes
Those were literally my words before this year Mains
I just somehow don't like the prep one has to do for JEE
lean otter
yeah there's stuff to remember but again it all makes sense lol everything can be explained
cedar void
I don't feel that chem
lean otter
I just somehow don't like the prep one has to do for JEE
yes all 3 subjects at once is terrible
cedar void
yes all 3 subjects at once is terrible
not terrible
but it is just the way it is given
Maybe people aspiring engineering find it the right way but somehow I don't
I feel so empty about JEE
I lack that Engineer mindset required for it
lean otter
nah that's no engineering either
cedar void
nah that's no engineering either
it is fr
lean otter
nope
it's only a piece of paper
lol
not even a good engineer without tough preparation can ace it
it is cummulation of many results , memories and practice
it has nothing to do with "engineer mindset"
engineer mindset is innovative
cedar void
it's only a piece of paper
yeah definitely but in terms of examination it doesn't give me the vibe I want that pure sciences thing
cedar void
yeah definitely but in terms of examination it doesn't give me the vibe I want t...
it focuses on applied science rather than Pure Science
cedar void
i don't get why people are fascinated about the iits
fr
cedar void
people at my classes are also iitians i look at them i find their lives pathetic
wait you're in what?
you're in uni?
lean otter
the coaching i mean
cedar void
how in the world people get IIT, and then join coaching
what are you talking about lad
lean otter
dude my teachers all iitians
even the fucking administrators are iitians
So boring lmao
cedar void
dude my teachers all iitians
okok
cedar void
They did iit
nice thing they did
lean otter
Lmao
cedar void
it seems like you're not into Applied sciences too?
lean otter
I am into applied sciences only
lean otter
Physics is applied science lol
lean otter
But yes i am more into theoratical physics
cedar void
But yes i am more into theoratical physics
that's what I'm into too
pure science rules the worlds
!done
safe radishBOT
If you are done with this channel, please mark your problem as solved by typing .close
still thunder
@lean otter
still thunder
<@456226577798135808>
lean otter
<@456226577798135808>
I was almost there!
still thunder
I was almost there!
yea good job brother i just completed your steps👍
still thunder
now I can sleep peacefully
still thunder
Your writing is really nice
oh thanks
lean otter
yes
still thunder
ok cya
safe radishBOT
@lean otter Has your question been resolved?
quick bison
what’s the right answer and why?
safe radishBOT
what’s the right answer and why?
quick bison
i think it’s d but i wanna confirm?
soft matrix
what’s the right answer and why?
Both c and d should be correct
desert swallow
It could pass through tho
quick bison
it’s d Right
desert swallow
Yeah
quick bison
what about this one im struggling with
desert swallow
what about this one im struggling with
First thing to do figure what the kind(order) of polynomial is
quick bison
wait
just wanna ask this isn’t part of the question
but what would be the least possible degree for this
desert swallow
It's a cubic
And the coefficient of the x^3 term has to be negative (
desert swallow
but what would be the least possible degree for this
4 turning points so the derivative is at least 4th order polynomial
quick bison
so 4?
desert swallow
What's the line for?
desert swallow
What do you think so far?
quick bison
c?
desert swallow
Why?
desert swallow
Not gonna drill on that but yeah it's d
Also c doesn't seem very exponential. Looks like it's slowly increasing
a) is exponential tho
desert swallow
Let's break it down.
An odd-degree polynomial would have its leading term as ax^n where n is odd
What can we say about the sign and magnitude of of x^n as x - > infinity?
steep magnet
safe radishBOT
steep magnet
Idk why WRA wont answer my query
I just wanna know if its true or false 😭
Its true right?
indigo wave
yeah
safe radishBOT
safe radishBOT
Available help channel!
kindred fjord
Did I do this correct? I got h≈38.79
safe radishBOT
Did I do this correct? I got h≈38.79
@kindred fjord Has your question been resolved?
kindred fjord
@raven vessel
<@&286206848099549185>
<@&286206848099549185> this is what I got
Please help
steep lily
this looks right
or at the very least I can't see a glaring error and you have the right answer at the end
kindred fjord
okay thanks so much guys
main island
Yeah looks right also for me when I calculated it.
kindred fjord
okay thank you so much
safe radishBOT
@kindred fjord Has your question been resolved?
kindred fjord
I've tried to calculate on my own and it gives the same answer
Wouldnt it actually be 38 feet and 9 inches
kindred fjord
Yeah looks right also for me when I calculated it.
because the things holding the tree are 6 feet longer than the tree not 6 inches
safe radishBOT
@kindred fjord Has your question been resolved?
safe radishBOT
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Available help channel!
dark warren
what website would I use to graph polar coordinates?
safe radishBOT
what website would I use to graph polar coordinates?
dark warren
rustic goblet
I don't actually know of any off the top of my head, but you can probably easily google one
jolly shard
A Ti-84 can do that easily- maybe an emulator?
dark warren
i tried desmos and couldnt figure it out after watching a video
how would i put that into a ti 84
jolly shard
Or just do it by hand ?
jolly shard
how would i put that into a ti 84
Iirc it’s a button in the window menu
dark warren
i tried but i keep gettings negatives for x
so im doing something wrong
im plugging in the coords into x=rcostheta
jolly shard
i tried but i keep gettings negatives for x
You should get a negative x
jolly shard
Yeah, trust yourself! You got this!
Also you can kinda visualize it as pi+ 2pi/7 so like just below the x axis and left of the origin
junior smelt
i tried desmos and couldnt figure it out after watching a video
.if you select the polar grid, then stuff comes default as polar coordinates btw
lapis badger
hi everyone
safe radishBOT
hi everyone
