yes.
#help-27
copper mango
limpid lantern
-10/7
i used a calculator to get that lol, Was making sure i did it right
Thanks, Sorry i made you lose braincells
.close
devout snowBOT
copper mango
and per your original question, yes -10/7 is rational
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sour needle
Does anyone know how to do b of this?
devout snowBOT
Does anyone know how to do b of this?
robust apex
First one is 90-75=15 so m=90+15=105
Second one 180=121+x+32
You’re basically in this case
And the orange angles in the pic are the same
sour needle
ohh
robust apex
Just make the x axis longer and you’ll see it
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fair crescent
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fair crescent
In the part where they substitute x with 0 why did they use y=2x+1
Coz theres also a y=-2x+1
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narrow plank
Both yield the same point
You could have probably picked either one
Given that it looks like you’re solving a system of two linear equations
fair crescent
The asymptotes are y=x-6 and y=-x+6
So do i solve for both? @narrow plank
Nvm i got confused mb
It would turn out as 0=0 just like the example
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tribal portal
hey guys can you explain me cancelation law by addition or a+c = b+c is a=b
devout snowBOT
hey guys can you explain me cancelation law by addition or a+c = b+c is a=b
@tribal portal Has your question been resolved?
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@tribal portal Has your question been resolved?
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@tribal portal Has your question been resolved?
queen flame
@tribal portal a+c = b+c
a = b + c - c
c cancels eachother out
a = b
is this what you're looking for?
tribal portal
ok im seeing
rose wyvern
Can you give a dynamic (that uses rotations) offline (knows the future) binary search tree scheme that supports the following search requests in O(1) amortized time? The search requests sequence is: 1, n/2, 2, n/2 + 1, 3, n/2 + 2, . . .
Assume that the universe is 1, 2, . . . , n (where n is a large integer). You
can assume an overhead cost of O(n^2) for inserting all these elements (i.e.,
1, 2, . . . , n) into a binary search tree first. The number of search requests m ≥ n.
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Can you give a dynamic (that uses rotations) offline (knows the future) binary s...
@rose wyvern Has your question been resolved?
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@rose wyvern Has your question been resolved?
rose wyvern
<@&286206848099549185>
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rose wyvern
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restive river
Sonia works at a bakery. The function f(x) represents the amount of money Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 9x2 + 1
g of x equals the square root of the quantity 2 x cubed
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Sonia works at a bakery. The function f(x) represents the amount of money Sonia ...
@restive river Has your question been resolved?
restive river
<@&286206848099549185>
im only confused on this part
explain what f(g(x)) represents.
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restive river
I don't know how to get arc AB measure
devout snowBOT
I don't know how to get arc AB measure
restive river
cry
I tried using the other arc measures to figure it out but im not sure what to do
cry
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restive river
<@&286206848099549185>
restive river
is anyone able to help
final laurel
I don't know how to get arc AB measure
try using the inscribed angle theorem
restive river
try using the inscribed angle theorem
So the answer would be 110 degrees right
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real patrol
How do you tell wether to add or subtract these? <@&286206848099549185>
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cunning pelican
how do i find the limit of f(x) 😭😭
devout snowBOT
how do i find the limit of f(x) 😭😭
cunning pelican
<@&286206848099549185>
cunning pelican
no
signal pond
If that goes to -infinity, then you can say a few things
about what 2f(x)-1 and 5f(x) + 2 must go to
or could go to
cunning pelican
so the denominator is 0
winter patrol
how do i find the limit of f(x)
do you mean the limit as x approaches 1 of f(x)?
signal pond
and the numerator negative
Indeed
signal pond
well you know the limit of 1/x as x -> 0
signal pond
Yes
cunning pelican
oh so 2f(x) -1 < 0
signal pond
Yes
But to make sure you are accounting for all possible cases
perhaps split the fraction up into 2
And then find all the ways a limit could make - infinity
Then ask what does that say about f(x) as x->1
cunning pelican
how should i split the fraction
signal pond
But I think on your initial idea -> 5f(x) + 2 -> 0 is correct
signal pond
how should i split the fraction
just split it into 2f(x)/... - 1/....
cunning pelican
aah
signal pond
Because you might ask why doesnt 2f(x) go to -infinity on it's own
signal pond
Well there might be a better way, but what I'm proposing is to look at what you have
split it up, why not
And then ask how can this equal -infinity
as you said
we can get an infinity if 5f(x)+2 goes to 0
And that can be negative if 2f(x)-1 is negative
when 5f(x)+2 goes to 0
the only other way to get a negative infinity would be to have 2f(x)-1 go to negative infinity on its own
But then you would have a -infinity/-infinity in a sense
signal pond
Okay so what can we say about what f(x) goes to?
cunning pelican
can we?😭
signal pond
Okay so we decided that the only way we can get negative infinity
is if
5f(x)+2 goes to 0
cunning pelican
idk😭
cunning pelican
oh yes
signal pond
So can we re-arrange that to get f(x)?
cunning pelican
cant we use a different function
like a g(x) = 5f + 2 with lim x-> 1 g = 0
ok nvm
signal pond
lim x -> 1 5f(x) + 2 = 0
Think about this
And give me lim x->1 f(x) on one side
After all this is what we want right?
cunning pelican
can we just rearrange the 2 and the 5
signal pond
giving?
signal pond
but it's okay
because 2 isnt dependent on x is it?
so 2 is just a 2 on it's own
lim x->1 2 = 2
signal pond
What do you think?>
cunning pelican
i mean probably
signal pond
if i told you to re-arrange
cunning pelican
not much left to do
signal pond
5f(x) + 2 = 0, to get f(x) what would you do?
signal pond
okay so we get f(x) = ?
cunning pelican
-2/5
signal pond
yes
Now if we include a limit
well the 2 doesnt matter does it?
so we get
lim x->1 5f(x) = ?
cunning pelican
-2
signal pond
yes
cunning pelican
and divide by 5 cuz its a constant
signal pond
yes
cunning pelican
-2/5
signal pond
check to make sure 2f(x) -1 is negative
signal pond
And also make sure you think about why 2f(x) -1 cannot go to negative infinity, for the whole limit to go to negative infinity
cunning pelican
kk thank u
signal pond
np
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empty ingot
Find the value of x and y
devout snowBOT
Find the value of x and y
fallen swallow
Find the value of x and y
look
fallen swallow
all the angles of the triangle are equal
which is marked by the red arc
so, 8y = 40
y = ?
@empty ingot
fallen swallow
Find the value of x and y
is this the question?
empty ingot
5
empty ingot
is this the question?
yes
fallen swallow
I think the question is irrelevant with the figure
magic chasm
magic chasm
empty ingot
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devout snowBOT
find the perimeter
copper mango
Inches
copper mango
The side lengths...
magic chasm
All of them is equals to each other because each side is 5 ball long. But question must say each ball is same lol
x is simply 8
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potent rover
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flint schooner
I assumed it’s d but I’m not to sure
I meant k
Not d
<@&286206848099549185>
timber pebble
i simplified it to [(-1)^(n-1) * 3^(n-1)] / 8^n
i think you can simplify it more
but im not sure how to move forward from there
potent rover
hm
timber pebble
oh
yea i do
lol
so
youll want to simplify it a bit more
we also want it to start at 0
the idea is to use this
$\sum _{k=0} ^{\infty} (-1)^k x^k = \frac{1}{1+x}$
woven radishBOT
jan Niku
timber pebble
there are convergence concerns with this formula in general obviously
but your sum should converge just fine by inspection
hint i guess is youll need to pull some stuff, do some index shifting
i think youll need to subtract something too
potent rover
why must you index shift?
potent rover
why do i need it in that form
timber pebble
because it has a nice solution we can easily memorize
potent rover
can i find the sum from that form
timber pebble
yes
timber pebble
hmm i made a mistake somewhere
lemme see
dang
keep getting weird errors
I have idea where theyre getting 11
potent rover
hm
potent rover
how so
timber pebble
total = 0;
for i = 1:10
numerator = (-3)^(i-1);
denominator = 2^(3*i);
term = numerator / denominator;
total = total + term;
if mod(i,2) == 0
(1/11) - total
end
end```converges to 1/11 but only if it starts at 1
the sum if it begins at 2 is negative
since the first term is negative and each successive term is smaller in magnitude
timber pebble
converges really fast
potent rover
or can it not be
timber pebble
it exhausts machine precision in 40~ terms
you can solve it, just start it at 1 instead
potent rover
so then do i have to reindex it
timber pebble
if you want
potent rover
she might have made an error
potent rover
im comparing with the series i know for sin(x)
[(-1)^n * x^(2n+1)] / (2n+1)!
that series starts at 0
potent rover
so i say that that series equals the first two terms of this series plus the series itself
x - [x^3 / 3!] + series from 2 to inf [(-1)^n / (2n+1)!]
i can see that that series looks like sin(1)
what do i do with those first two terms?
timber pebble
you mean like if you want to reindex
you can just add them and subtract them
if im understanding you right
potent rover
i wasnt reindexing actually
timber pebble
$\sum _2 ^\infty n = (\sum _2 ^\infty n) + 0 + 1 - 0 - 1 = \sum _0 ^\infty n - 0 - 1$
woven radishBOT
jan Niku
timber pebble
oh 
potent rover
i was just writing out the first 2 terms of the series for sin(x)
and then adding the series in question
since it starts at n = 2
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main sluice
How do I do the integral of (ln(x)) / x^n dx
devout snowBOT
How do I do the integral of (ln(x)) / x^n dx
main sluice
Im not used to the variable "n" power
magic chasm
you can just a put a random number, then replace it with "n" when you solve
or you can just:
magic chasm
um is that "loptu"? What's that
It is for me to remember easily
LAPTÜ
L=logarithm
A=arc
P=Polynomial
T=Trigonmetry
Ü=üstel (Exponential) (in turkish)
if there are two of these in an integral, you call the left one u, and everything else equals dv
Like this for example
It goes from left to right
storm gyro
uh i think you integrated x^n wrong
magic chasm
It is possible 
storm gyro
if x^ndx=dv, v=x^(n+1)/(n+1)
main sluice
It is for me to remember easily
LAPTÜ
L=logarithm
A=arc
P=Polynomial
T=Trigonme...
Ohh I see
eager elm
devout snowBOT
eager elm
Arctan 2 + arctan 3 = ?
magic chasm
arctan2+arctan3=x
tan(arctan2+arctan3)=tanx
tan(arctan2) + tan(arctan3) / 1-(tanarctan(2) x tanarctan3) = tanx
2+3 / 1- 2x3 = tanx
5/-5 = tanx
-1 = tanx
magic chasm
The rule applies to sin and cos, not tan
tan may be bigger than 1
tan60 for example, it is sqrt3
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@eager elm Has your question been resolved?
rare lichen
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rare lichen
in the simplest way possible, how would you describe the symmetries of an equilateral triangle?
pls help 😦
oh wait
since I'm assuming each symmetry is under the dihedral group
do I just need to describe the rotations, reflections, and stuff like that?
rare lichen
I see
thank you very much!
also, I learned that dihedral groups aren't commutative, but there are some cases where some elements composed with each other are commutative right?
It's just not all elements composed with one another are commutative
which makes dihedral groups non-abelian
right?
like if you composed a rotation A with another rotation B, that would be the same as composing the rotation B with the rotation A
however
if you tried composing a rotation A with a reflection R, it wouldn't be the same as composing the reflection R with the rotation A
@copper mango
copper mango
I don't actually know group theory, I just know the symmetries of an equilateral triangle 
rare lichen
oh
that's fine
😄
thanks for the help
I do have another question for anybody else who understands group theory
oh wait
yeah
I'm quite curious
are all cayley tables the same for all dihedral groups?
🤔
modest dagger
Cayley tables like the group multiplication tables?
rare lichen
yeah
modest dagger
Then no
rare lichen
so a cayley table of a dihedral group order 8 wouldn't be the same as a cayley table of order 6?
modest dagger
The different dihedral groups at the very least don't always have the same numbers of elts.
So they can't have the same cayley tables.
modest dagger
Maybe I could be mixing this up?
I haven't touched dihedral groups in a minute
But you can just google dihedral groups and check a couple of the tables to verify.
modest dagger
Or like consider a triangle vs some regular polygon with a ton of sides.
rare lichen
mhm
modest dagger
The triangle might have way less elts in its corresponding dihedral group compared to the dihedral group corresponding to the big ugly regular polygon you might pick.
rare lichen
what do you mean by "elts"
modest dagger
Sorry I mean elements. At the very least you can pick n large enough that there are more rotations for your big ugly polygons dihedral group than there are elts of the dihedral group for the triangle.
rare lichen
so more sides = more elements
modest dagger
Yep.
modest dagger
Think about it, how many elts correspond to rotations for the dihedral group of a triangle? Now compare that to a regular 17-gon.
woven radishBOT
ChubbyMuffins
rare lichen
😅
modest dagger
Yeah, you generally deal with small examples because big ones blow up in ur face lol.
modest dagger
Small examples are good for building intuition.
rare lichen
what would be an example of the elements for a 17 gon then?
like there's 8 elements in a dihedral group of order 6
or just a 3-gon
modest dagger
So for ex you would have a rotation by some amount of degrees (360/17 maybe? I forget basic geometry lmao).
You'd also have flips about certain lines of symmetry and junk.
rare lichen
ohhhhhhhhhhh
modest dagger
The basic elts you would come up with the same way as in other dihedral groups.
rare lichen
I think I've been thinking too much on angles of rotation..
I wish my book made this more clearer
r just means 1 rotation
r^2 means 2 rotations
modest dagger
Yep exactly
modest dagger
No problem. Dihedral groups are neat but sort of weird to think about at first
uneven elk
damn idk
rare lichen
I mean
I kind of understand the first diagram
when you reflect the graph you get the second graph
woven radishBOT
vrang
uneven elk
second one is if you rotate counterclockwise and flip
rare lichen
F composed with 1 rotation is the same as the inverse of R?
uneven elk
I very minimal understanding of group theory I am not equipped to answer you I just think this makes sense to me
@modest dagger
uneven elk
looks like group theory but I think I am wrong
uneven elk
F composed with 1 rotation is the same as the inverse of R?
but conceptually this makes sense to me
rare lichen
I see
modest dagger
Yeah idk if ur identity is right vrang but the top is just explaining what happens after doing a flip then rotate
Bottom is showing rotate then flip
I'm not sure I understand what they want us to conclude
I think I see something it proves.
uneven elk
$FR^1=RFR^2$
woven radishBOT
vrang
woven radishBOT
vrang
modest dagger
What happens if n=5? What does that tell u about whether or not fr=rf?
^this is what I'm thinking.
uneven elk
but idk if thats like already known for all transformations
rare lichen
oh wait
minor pebble
uneven elk
occupied channel #❓how-to-get-help
modest dagger
n is just one of the corner numbers.
modest dagger
For ex in dihedral group of triangle n is 1,2,3.
minor pebble
how do i get help?
modest dagger
So pick an n, do f and r commute according to the diagram?
uneven elk
read #❓how-to-get-help
modest dagger
Maybe they have a different idea in mind.
But that diagram def tells u whether f,r commute or not.
Do you see what I'm seeing?
rare lichen
ohhhh
modest dagger
You see it?
rare lichen
I think I kinda get what you're saying
but
the thing is
dihedral groups aren't commutative
modest dagger
Yes that's what I'm getting at lol
It just shows that f and r can't commute
If they could u would get those vertices to match in the pic
modest dagger
Or something vaguely like that at least
rare lichen
both starting graphs were the same, but the ending graphs were different
modest dagger
Yes, that is what i was seeing. Granted, they could mean something else too.
modest dagger
Vrang might not be wrong or anything tho
They could have a different property in mind and there could be other properties we could find from that pic I suppose.
rare lichen
I see
yeah group theory isn't easy ig 😂
and it'll probably get harder as I progress forward
rare lichen
I see
modest dagger
I found it easier to work with the later kind of hard.
modest dagger
Np
uneven elk
nah dootdooter's property makes much more sense
learn something new everyday and today it was basic group theory
devout snowBOT
@rare lichen Has your question been resolved?
viscid goblet
write in the form of y=a(x-h)^2+k
y=x^2-2x+7
my answer was y=(x-1)^2+8
is it correct
winter patrol
no
viscid goblet
can you explain why
main gull
How did you get to that answer?
Show your work and we can tell you which part went wrong
winter patrol
thats ok so far
viscid goblet
and then i did y=(x^2-1)^2+8
winter patrol
how are you getting that
main gull
y=(x^2-2x+1^2)+7-1^2
You should write like y=(x^2-2x+1^2)+7-(1^2)
Because I think you are doing y=(x^2-2x+1^2)+7+(-1)^2
winter patrol
how are you getting from
7-1^2 to 8
viscid goblet
-1^2= 1
viscid goblet
wait so its 7-1
main gull
It's 7-(1^2), not 7+(-1)^2
winter patrol
no
viscid goblet
wait what
winter patrol
double check what you've written
winter patrol
thats ok so far
winter patrol
is not correct
viscid goblet
where is the problem which area
winter patrol
how are you getting from
(x^2-2x+1^2) to (x^2-1)^2
more specifically why do you have (x**^2**-1)^2
restive river
.open
snow python
how do i begin to solve this
devout snowBOT
how do i begin to solve this
devout snowBOT
@snow python Has your question been resolved?
snow python
pls just a tip or somethin i genuenly dont knwo
random lintel
Try and use a+b≥2ab
And cycle through for a+c≥2ac and b+c≥2bc @snow python
then see if you can continue from here
Sorry it should be root 2ab and root 2bc etc.
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worldly jewel
why isnt the minimum value of |z+1| 1? because even if |z| is 0, you still have to add 1 to it right?
devout snowBOT
why isnt the minimum value of |z+1| 1? because even if |z| is 0, you still have ...
winter patrol
what is z = -1
worldly jewel
what?
devout snowBOT
open vine
why isnt the minimum value of |z+1| 1? because even if |z| is 0, you still have ...
casually pirating
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Available help channel!
untold sky
how do we solve this?
devout snowBOT
how do we solve this?
untold sky
i don't understand. please explain more clearly
copper mango
do you know how to add matrices Y or N?
untold sky
yes
copper mango
so then... 5A and 3B need to have the same dimensions.
untold sky
yeah
copper mango
and C will have the same dimension as those
so C has the same dimensions as A and B.
untold sky
so the answer should be 3 x 5?
copper mango
yes
north sail
If the solution set of (3a-1)x+6=5x+3 is empty then find the value of a.
north sail
I have no idea where to start
frozen elm
An easy way to get a no solution set is to just make it so the two x's cancel out
Or the coefficients are equal on both sides of the equation
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@north sail Has your question been resolved?
north sail
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latent hill
It looks like wolfram alpha gives the wrong output here
devout snowBOT
It looks like wolfram alpha gives the wrong output here
devout snowBOT
@latent hill Has your question been resolved?
fervent hamlet
,tex 8² - (-3)² = 64 - 9 = 55
devout snowBOT
,tex 8² - (-3)² = 64 - 9 = 55
woven radishBOT
randomystery
exotic stump
ok lol
woven radishBOT
randomystery
fervent hamlet
good 👍
exotic stump
uh no
woven radishBOT
Euclid31415
torpid cairn
Testing latex?
devout snowBOT
wanton fulcrum
Help
wanton fulcrum
With this
wispy reef
Anyone knows how to solve identities
wispy reef
Thanks
devout snowBOT
@wanton fulcrum Has your question been resolved?
wanton fulcrum
just do implict tbh
Ok but it still very hard to prove
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@wanton fulcrum Has your question been resolved?
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@wanton fulcrum Has your question been resolved?
little escarp
i understand that $A$ is hermitian $\implies$ its eigenvalues are real, but is the converse true?
devout snowBOT
i understand that $A$ is hermitian $\implies$ its eigenvalues are real, but is t...
woven radishBOT
Joy!
woven radishBOT
Joy!
little escarp
.close
whole patio
So like
whole patio
could someone explain me, mathematically speaking
what's the difference between recursion and iteration in general
For iteration, I usually just think about something like as described in https://en.wikipedia.org/wiki/Iterated_function
In mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times.
As for recursion, here goes a formal definition
In mathematics and computer science, a class of objects or methods exhibits recursive behavior when it can be defined by two properties:
A simple base case (or cases) — a terminating scenario that does not use recursion to produce an answer
A recursive step — a set of rules that reduces all successive cases toward the base case.
So, this idea of having a base case is also present in the context of iterated functions, it corresponds to that
and the idea of a recursive steps seems to also be present in that composition of functions
frozen elm
whole patio
so how could recursion and iteration be differentiated from a mathematical standpoint?
Perhaps I should just refer to https://en.wikipedia.org/wiki/Iteration instead of speaking about iterated function
Since in programming recursion is actually seen as function calling itself and possibly providing itself as an input
Oh
Oh,
that makes sense
In algorithmic situations, recursion and iteration can be employed to the same effect. The primary difference is that recursion can be employed as a solution without prior knowledge as to how many times the action will have to repeat, while a successful iteration requires that foreknowledge.
So that's the reason
we're able to find solutions for recurrences like Fibonacci
or more generally speaking any kind of recurrence, whether it only has a homogeneous solution or even a particular one
while only having prior knowledge to the initial terms which are really representative of the degree hm
robust thistle
devout snowBOT
shy wing
it means find where the slope is 0
robust thistle
how would you do that
shy wing
find where the derivative is 0
robust thistle
we havent done that
shy wing
yes you have
the slope of the tangent line is the derivative
so you obviously have
since those exact words are on the paper
shy wing
the derivative is the slope of the tangent line
shy wing
@robust thistle oh wait i was looking at question 3
ignore the 0 part of what i said
do you know what f’(x) means?
robust thistle
yes
shy wing
the equation of the tangent line to f(x) at (a,f(a)) is defined as y = f’(a)(x-a)+f(a)
robust thistle
what do i do with that info
shy wing
you’re literally asked to find the equation of the tangent line at a = 2
robust thistle
how is f(2) 20
shy wing
find f’(2)(x-2)+f(2)
f’(2) = 20
f(2) doesn’t
you said you knew what f’(x) meant
didn’t you
robust thistle
i didnt notice the '
shy wing
well another way of writing it is $y = m(x-x_1)+y_1$
woven radishBOT
quantum
shy wing
but m is the derivative
so that doesn’t help actually
oh darn, thanks
f’(x) = 9x^2 - 4, f’(2) = 32
shy wing
yes
robust thistle
@shy wing i got a slope of 40
shy wing
it’s 32
robust thistle
oh okay i got it
shy wing
although afterwards simplify the equation
robust thistle
can you explain why we do this
shy wing
what do you mean
robust thistle
sorry i mean why we use that formaula
shy wing
because it’s the formula for a tangent line
robust thistle
**quantum**
^
shy wing
it’s a rewrite of the slope formula
full gulch
devout snowBOT
full gulch
I used vf=vi+ at but I couldn't get any of these answers, whar am I doing wrong?
So vf is 3m/s and acceleration is equal to
3m/s divided by 4sec should be.75m/s2 but why is this not correct?
devout snowBOT
@full gulch Has your question been resolved?
scarlet copper
merry urchin
you could start by making the assumptions mentioned, so you have numbers to work with
devout snowBOT
@scarlet copper Has your question been resolved?
devout snowBOT
@scarlet copper Has your question been resolved?
wooden stirrup
devout snowBOT
devout snowBOT
Available help channel!
restive river
|𝑥−3| + |𝑥+4| ≥ 7
devout snowBOT
|𝑥−3| + |𝑥+4| ≥ 7
@restive river Has your question been resolved?
Available help channel!
thick oxide
Hi, may I send my question here.
devout snowBOT
Hi, may I send my question here.
thick oxide
?
cosmic jacinth
Yes, dont ask once youve followed the #❓how-to-get-help
cosmic jacinth
is your question this:
cosmic jacinth
$g(x)=x^{3}+x$
$f(g(x)) = \frac{x^{2}(1-x)}{4-x}$
Solve for
$f(-2)$
woven radishBOT
Muhammad Hussaini
thick oxide
yes, thanks!
cosmic jacinth
Oh, let me see
Well let me show you
The way
Did you try it
By yourself
@thick oxide
cosmic jacinth
Well, I'll give you a hint
Try finding g^-1(x)
And substituting it in fog(x) to get f(x)
Then find f(-2)
thick oxide
I'll give it a try
copper mango
how do you solve x = y^3 + y
there's nothing to solve.
thick oxide
solve to y =
copper mango
isolate
thick oxide
I'm sorry?
copper mango
and there's no way to do that unless you somehow know the cubic formula
thick oxide
@copper mango How would you solve the original problem?
thick oxide
**Muhammad Hussaini**
copper mango
find x such that g(x)=-2
thick oxide
-1
thick oxide
I'm not taught maths in english, I assume you mean filling in x for -1? Then I get zer
zero
thick oxide
2/5
copper mango
yes.
thick oxide
so that's the answer?
copper mango
yes.
thick oxide
Ow, thank you! May I perhabs ask one more question, I've got my exams tomorrow
Prove: a^b log c = c ^ b log a
@copper mango, if you've got the time
Actually, <@&286206848099549185>
.close
restive river
hey can i post a paper picture?
devout snowBOT
hey can i post a paper picture?
restive river
i need help with these
copper mango
<@&268886789983436800> Test.
restive river
?
its a pratice i printed out
gogle it you can print it
how do i do polynomail division
ok
thankyou
thats it thankyou so much
mental garden
has anyone here done fourier transformations for functions? im suppose to test it out...with a linear function. how much terms does a linear function need? im getting upwards of 30 terms.
the difference is suppose to be <0.1
no i think the web app is just fucked up actually
bright magnet
<@&286206848099549185>
devout snowBOT
<@&286206848099549185>
bright magnet
bright magnet
<@&286206848099549185>
wheat warren
put l in form y=mx+c to get m
devout snowBOT
@bright magnet Has your question been resolved?
bright magnet
yh ik how to get m
but how to do i solve the rest
to find a line that passes through A
@wheat warren
wheat warren
what do you know about the relationship between the gradients of perpendicular lines
wheat warren
no
bright magnet
oh
wheat warren
negative
bright magnet
oh sorry i meant negative
wheat warren
yep then
bright magnet
so i make the equation?
wheat warren
yes
bright magnet
y=-3/4x-11/4
oh ok thanks
devout snowBOT
oh ok thanks
bright magnet
.close
blazing charm
Let’s say I have a quadrilateral with two right angles at the base. You also have the dimensions of the two sides and base (in the green). I was wondering what mathematical equation will get you any of the heights from the base to the top of you choose a number from 0-16.
devout snowBOT
Let’s say I have a quadrilateral with two right angles at the base. You also hav...
blazing charm
It’s definitely an easy question I would assume and I knew it before I just can’t remember what it was.
graceful cosmos
Similar triangles is what you're looking for
blazing charm
Wdym?
graceful cosmos
So is the base 16 units long?
blazing charm
Yes
graceful cosmos
Another way to do it, is to turn the top into a function.
Slope = (11-4)/16
m = 7/16
So the top line is given by:
y = (7/16)x + 4
Then, whatever red line you want to find the height of, plug that in for x
blazing charm
Ahhh ok thank you
Just to make sure tho, you’re saying that it would be ((Heighest-Lowest)/Base)*(Any number between 0-Base Length)+(Lowest)?
For any quadrilateral with two right angles?
graceful cosmos
I'm saying it would be y = mx + b
Where I'm letting x = 0 be the left end of the quadrilateral
m = slope, b = y-intercept
cursive aspen
without calculating the determinant, show justifiably that
suggestion, make operations on the columns
cursive aspen
i understand its a vandermonde matrice, but it says, without calculating the determinant
devout snowBOT
@cursive aspen Has your question been resolved?
analog pollen
Hi, could I get any help here with a physics question I m having trouble with?😅
analog pollen
no problem man
analog pollen
I only found one physics server but no one answered me
stray olive
sadge
analog pollen
do u know some server?
stray olive
nope
devout snowBOT
wet fox
devout snowBOT
wet fox
can i get help starting the integral plz
devout snowBOT
@wet fox Has your question been resolved?
copper mango
can i get help starting the integral plz
$M=\iiint_E \rho(r)\dd{V}$
where you want to write the integral in spherical
shy wing
you can just do \iiint if you forgot
copper mango
cant forget something I didn't know 
shy wing
lol
woven radishBOT
Mosh
wet fox
What does the E represent?
wet fox
Ahh right I see
copper mango
so you just need your bounds on theta, phi, and r
wet fox
Would r^2= 4^2
copper mango
what's the radius of the planet?
wet fox
R
copper mango
so what are the bounds for r?