so you wouldn't be able to add the numerators together
#help-39
reef quiver
no problem!
once your question has been answere
you canclose the channel
using .close
pearl pondBOT
coarse dawn
I did, you did it wrong
dawn sierra
.close
coarse dawn
Because $\frac{2}{5} + \frac{2}{6} \neq \frac{4}{11}$
jolly parrotBOT
dldh06
pearl pondBOT
Available help channel!
coarse dawn
,w (2/5) + (2/6) === (4/11)
pearl pondBOT
,w (2/5) + (2/6) === (4/11)
jolly parrotBOT
jolly parrotBOT
coarse dawn
,w 4/11 numerical value
jolly parrotBOT
hollow pier
how to solve it?
pearl pondBOT
how to solve it?
old geyser
What have you tried
hollow pier
i know it have to be solved like a non-homogenous
hollow pier
but i dont know what to do with de 14
hollow pier
yeah thats easy
old geyser
And then to find the nonhomogenous, let y = A. Then find y' and y", plug it in, and solve for A
Since y = A is your particular solution
hollow pier
the particular solution is 14?
old geyser
Yeah
pearl pondBOT
pearl pondBOT
Available help channel!
stuck widget
would you guys give me the whole mark?
pearl pondBOT
would you guys give me the whole mark?
clear trench
I would say the sign diagram is an equivalent merit to the 2x -6x^2 > 0
wispy loom
pearl pondBOT
wispy loom
I dont know how to solve for x
Do I just take the ln
But the question told me to use the quadratic formula
The other side is = 0
jolly parrotBOT
Berry
wispy loom
I have no idea
take the ln
so x + 3(2x) + 3
Take out a e
Yeah
Not really
Because for (e^x)^2 I can just break them down and but then e^(2*x) is not the same as that
Oh wait
No it is
And then take out e^x
Is the answer there is no solution?
.close
pearl pondBOT
pearl pondBOT
Available help channel!
jolly basin
pearl pondBOT
atomic ferry
use the shoe lace method
jolly basin
This is what I did so far
jolly basin
use the shoe lace method
whats that?
pearl pondBOT
pearl pondBOT
Available help channel!
wraith saddle
minor question, why is the standard form of a parabola y = 4ax^2
wraith saddle
like why do we not just include 4 in the constant a
midnight haven
Just a convention. This makes the focus itself to be (0,a) and the other formulae simplify a bit.
pearl pondBOT
pearl pondBOT
Available help channel!
compact token
pearl pondBOT
pearl pondBOT
compact token
.reopen
pearl pondBOT
✅
karmic hound
,rotate 90°
jolly parrotBOT
compact token
Say we left at t' instead of t and according to the diagram you are like 5 minutes early then you would reach at 10:00
so in the question you incur cs, and s is time here, how do you get s , which is the minutes that you are earlier to the class by subtracting X from t
<@&286206848099549185>
pearl pondBOT
@compact token Has your question been resolved?
compact token
.close
past radish
Am I doing this right? Is it supposed to be written as a vector or as an equation?
Given: Integrate ((t)i+(3)j)dt
I took the integral of each individual piece and got
((t^2)/2)i+(9/2)j
Should I write it as
<(t^2)/2, 9/2> or is the first one good
warped violet
Am I doing this right? Is it supposed to be written as a vector or as an equatio...
,rccw
jolly parrotBOT
pearl pondBOT
@past radish Has your question been resolved?
past radish
<@&286206848099549185>
pearl pondBOT
@past radish Has your question been resolved?
pearl pondBOT
@past radish Has your question been resolved?
nimble cave
Am I doing this right? Is it supposed to be written as a vector or as an equatio...
the indefinite integral of 3 with respect to t is not 9/2
also you didn't add +C 
tiny star
please help
pearl pondBOT
please help
tiny star
<@&286206848099549185>
pearl pondBOT
@tiny star Has your question been resolved?
dense goblet
tame pawn
p=irt solve for t
pearl pondBOT
p=irt solve for t
dusty patio
,tex .alg manip
jolly parrotBOT
ils
hushed egret
Hey
old geyser
Remember what odd functions are
f(-x) = -f(x)
f(0) = -f(0) means nothing though
Because that's also true for some even functions
old geyser
f(-x) = -f(x)
Think about nonzero values of x
hushed egret
Think about nonzero values of x
Would it be D
old geyser
Yeah
pearl pondBOT
pearl pondBOT
Available help channel!
wanton grotto
.reopen
minor mulch
Lucia is making a banner. The banner requires 12 yards of fabric and 3 yards of ribbon.
Lucia makes a third banner, still with the same ratio of fabric to ribbons. If the new banner requires 20 yards of fabric, how many yards of ribbon will it require?
minor mulch
The part im stuck on is what times 12 is equal to 20.
pearl pondBOT
@minor mulch Has your question been resolved?
violet oyster
I need some help with derivatives. Would the derivative of e^-x be e^-x? Or would it change?
sick adder
How familiar are you with the chain rule?
violet oyster
Oh dang, not familiar, I wasn't sure if I'd need or not because my professor hasn't gone over it yet
Is that the only way to solve for the derivative?
sick adder
There might be some intuitive way but generally you'd use the chain rule to really show this one
Is this a problem you have on a worksheet?
Or just curiosity
violet oyster
It's from my homework, trying to get ahead lol
Is it the same for 8^x
Chain rule ?
sick adder
In a way yeah
You modify it first and then use the chain rule
If you want to get ahead, look into the chain rule first
Which states $\frac{d}{dx} f(g(x)) = f'(g(x)) \times g'(x)$
jolly parrotBOT
M. Frost
sick adder
For situations where you have compound functions, like e^-x where e^x=f(x) and -x=g(x)
violet oyster
Ohh ok, i understand
I'll keep this in mind so that way I can use it for when he goes over it later
Thank you!
have a good day
.close
sick adder
cyan vortex
pearl pondBOT
cyan vortex
Im not sure why this answer is incorrect
wait nevermind i thik i figured it out
.close
novel kestrel
Hi
novel kestrel
One question, when multiplying monomials with different bases, do the exponents continue to add???
for example
Q°3 x P°4 = QP°7?
light helm
no
native sparrow
No, think of Q and P like the numbers 2 and 3, using your example 2^3x3^4=6^7
However, if you do the math of that example, you find that they don’t equal each other
For adding powers together, the base number has to be the same
novel kestrel
is that the question for a job is If P is a polynomial of degree 4 and PQ is a polynomial of degree 7 then Q is a polynomial
grade 3
novel kestrel
For adding powers together, the base number has to be the same
ok, So the answer to the question is that it is false because the bases of the exponents are different?
novel kestrel
is that the question for a job is If P is a polynomial of degree 4 and PQ is a p...
(the statement is true or false?)
native sparrow
Yeah it would be false because it doesn’t follow the exponential product? Law
novel kestrel
Then it would be false because it does not comply with the law?
pearl pondBOT
@novel kestrel Has your question been resolved?
royal wolf
but nadie te entiende porque es un server ingles
novel kestrel
:v
royal wolf
en el shitpost habian mejores momos
novel kestrel
but no tienes foto de mujer y en cambio tienes una foto de anime but tu opinion no cuenta por eso
covert ivy
pearl pondBOT
covert ivy
I get -inf for the answer so what should I put
warm dome
How did you get -inf?
split stream
I get -inf for the answer so what should I put
if its inf then theres no limit so D
warm dome
Do you know the graphs for these functions?
covert ivy
yes
warm dome
Well, so you should find it easily, no?
covert ivy
what does it mean by upper bound and lower
warm dome
Oh ok
A function has an upper bound where there exists a value such that the function is always lower than this value
covert ivy
ok
warm dome
And for lower bound, it's similarly that your function is always greater than some fixed finite value
warm dome
Do you know what's a minimum or a maximum?
covert ivy
yes
warm dome
It's kind of a generalisation of these ideas
covert ivy
ok
jolly parrotBOT
Statufi
warm dome
Is it clearer? Could you now find which ones have an upper or a lower bound?
covert ivy
I see that they either have just lower bond or both
I dont see any with just upper
d is lower
c is both
b is both
a is both
so what am I doing wrong
warm dome
Maybe give me the upper/lower bound for each so we see the issue
Or just some greater/lower value
warm dome
I'm sorry I don't understand what you want to do...
covert ivy
im still confused what lower and upper bound is I think
can you show me a graph of both
covert ivy
so what does a upper look like
warm dome
Upper bound for this one
But no lower
One that has both:
And one that has no lower or upper bound:
warm dome
It has an upper bound if "it cannot go to +infinity" anywhere
covert ivy
so its not that?
warm dome
What would be the upper bound here?
warm dome
yes
covert ivy
this
warm dome
Does your function has a lower bound?
sweet radish
pearl pondBOT
sweet radish
What's the difference between option b and c
plush bramble
What's the difference between option b and c
Time and speed are not the same thing
visual lake
can someone explain division? i'm having a hard time understanding it
warm dome
Division? What kind of division?
visual lake
i can't imagine what would time/distance look like for example
how do you divide time by distance? what does it mean? each division is completely an alien thing for me
visual lake
cs graduate
warm dome
ok
Is the notion of division a problem when we're talking about dividing quantities with different units (like time/distance)?
Or is it in general?
visual lake
like meters/seconds?
warm dome
Yeah
For example if I say i do 2 meters/second, it means that in 1 second i do 2 meters, just a way of writing it in a math way
visual lake
sometimes i think of division as repeated subtraction, sometimes as counting some unit with another unit. but i feel like i don't have a coherent concept of division
warm dome
I understand what you say
visual lake
I understand what you say
do you mean "you"?
and also yes, i have a hard time grasping dimensional analysis
warm dome
Actually to me the units like km/h, m/s etc that are unit created by a quotient, are just named like that for convenience in physics. But it represents a real math thing. For example, let's say that when you walk you do 10 meters in 2 seconds. Just imagine the 10 meters you walk on the ground. Let's say you walk uniformly (speaking about speed). Then, half of your 10 meters would be done in 1 second, like you're just cutting your 10 m walk in 2, right? So physicists just said "let's say you walked at a speed of 5m/s".
I don't know if that answers even part of your question
warm dome
and also yes, i have a hard time grasping dimensional analysis
It's just checking for physical units coherence I guess
visual lake
Actually to me the units like km/h, m/s etc that are unit created by a quotient,...
cutting distance by time
hmm
what about linear interpolation factor?
x-x0/x1-x0
warm dome
Actually I didn't cut distance by time in the example
I'm not getting what you're trying to represent
warm dome
ok
visual lake
when i think about multiplication i only think about something "times" something
i can clearly visualise that but when thinking about division it feels like it has much more use
warm dome
To be honest I'm not sure I understand, sorry xD
limber pumice
From the picture, if you turn the arrow head 2 3-4 turns counterclockwise, where will the arrow head point?
pearl pondBOT
From the picture, if you turn the arrow head 2 3-4 turns counterclockwise, wher...
@limber pumice Has your question been resolved?
Available help channel!
thorny stream
pearl pondBOT
midnight reef
Do you use any formula to calculate the distance from a point to a line?
thorny stream
given this shape, how can i represent lines AC and BC in terms of the radius?
thorny stream
would i use law of cosines, or is there a simpler way to do it?
blissful cloak
what's wrong with Pythagorean? :)
dense goblet
normal trig ratios is fine too
thorny stream
im not supposed to know that acb is a right angle
dense goblet
ok
thorny stream
so is law of cosines a good way to go about it or is there a simpler way?
cuz i can't use trig ratios since i dont kow that acb is a right angle
(at least pretend we don't know yet)
tulip forum
what's wrong with Pythagorean? :)
You can't able to write in terms of the radius using Pythagorean. I think best way is to use the trig ratios. I can't able to think much
blissful cloak
You can't able to write in terms of the radius using Pythagorean. I think best...
how so? 
(not that im being condemned, I'm genuinely asking)
blissful cloak
im not supposed to know that acb is a right angle
but ACB is garaunteed to be right so long as AB is a diameter of the circle
thorny stream
essentially im trying to prove the theorem
but without using angles because that's too easy
tulip forum
like law of cosines?
sin = opp/hyp and cos =adj/hyp and we know hyp is 2r
blissful cloak
but without using angles because that's too easy
how about using trig?
thorny stream
but i dont know that it's a right angle yet
thorny stream
how about using trig?
like what kiddiemano said?
blissful cloak
no no say O=(0,0)
A=(-1,0)
and C=(1,0)
so it has radius 1, right?
then b is some point (sin(x),cos(x))
prove the product of the slope of AB and BC are -1 :)
and you've got your right angle!
tulip forum
like what kiddiemano said?
still though we don't what the angle BAC is.
thorny stream
but wouldn't i have to generalize the points?
like that is just one particulat set of points
blissful cloak
but wouldn't i have to generalize the points?
nope so long as AC (in this case) is a diameter of circle 
that's all we care about
could do (-2,0) or (2,0)
result would still be the same
thorny stream
the result would be, but wouldn't i need to generalize the proof to fit all points?
blissful cloak
then do (-n,0) and (n,0) if it satisfies your conscious
pearl pondBOT
blissful cloak
.reopen
pearl pondBOT
✅
blissful cloak
@thorny stream I messed up the proof only works for n=1
blissful cloak
but it works nonetheless as a proof 
remember Thales's Theorem only cares about whether or not those two points are a diameter so you're all good
actually I see where that could cause confusion
do whatever works for you :)
golden willow
Question: How many numbers are there between 100 and 1000 such that at least one of their digits is seven?
golden willow
Still struggling to know if its right with counting
ashen rover
Question: How many numbers are there between 100 and 1000 such that at least one...
I can help you answer this problem
First off, do you agree this question is equivalent to asking you how many 3-digit numbers contain at least one 7 as one of their digits?
coarse dawn
Question: How many numbers are there between 100 and 1000 such that at least one...
Are you and #help-2 message
in the same class?
golden willow
Are you and https://discord.com/channels/268882317391429632/359052604149465088/1...
We are lol i guess we found the same server
golden willow
First off, do you agree this question is equivalent to asking you how many 3-dig...
Ya
limpid belfry
golden willow
Lol hes here
limpid belfry
that contain the number 7
golden willow
great how many numbers are there between 100 and 1000?
899
limpid belfry
tweakin
golden willow
explain why it's not 900
Bc its late and im pretty sped
limpid belfry
because its asking how many of the numbers contain 7
ashen rover
@crisp niche, relax lemme help Nightmare
ashen rover
great so 900 numbers
limpid belfry
mf
ashen rover
now throw away the ones that do not contain the number 7
golden willow
9, 10, 10
golden willow
8, 9, 9
jolly parrotBOT
limpid belfry
no way
ashen rover
do u disagree?
golden willow
We agree
limpid belfry
i dont
golden willow
I counted manually and got the same thing. Sorry about robbie hes an instigator
Much appreciated
.close
ashen rover
U know the limit of x_n is 2, so the limit of (x_n)^2 is 4. 4+3=7
of course not sure what you're allowed to assume in your proof
oh right I skipped over that when I read the problem lol
so we're asked to show $(x_n)^2$ converges to $4$, then correct?
jolly parrotBOT
logician
ashen rover
we don't have to worry about the +3=7
jolly parrotBOT
ZedRedBed
ashen rover
well more precisely $\left|x_nx_n-4\right|<\epsilon$
jolly parrotBOT
logician
ashen rover
**logician**
this is a difference of squares
so you know $|x_n-2|<\epsilon$ and $\left|x_nx_n-4\right|=|x_n-2|\cdot|x_n+2|$
jolly parrotBOT
logician
ashen rover
you know that given any positive real epsilon, there is a natural number N for which |x_n|-2< epsilon for all n>=N. Can you find an N for which this is less than epsilon?
ashen rover
since $x_n$ converges to $2$, it can't converge to $-2$. So what if you assumed for the sake of contradiction, that there is some positive real epsilon, for which no matter what $N$ you choose $|x_n^2-4|\geq\epsilon_1$ for some $n\geq N$. For such epsilon we also know there is an $N_1$ for which $|x_n-2|<\epsilon$ for all $n\geq N_1$. For such $N_1$, we have $|x_n-2|<\epsilon_1\leq|x_n-2|\cdot|x_n-(-2)|$ for some $n\geq N_1$.
this is what I'm thinking so far....
jolly parrotBOT
logician
pearl pondBOT
@buoyant tinsel Has your question been resolved?
ashen rover
Here's another thought:
$|x_nx_n-4|=|x_n(x_n-2)+2(x_n-2)|\leq|x_n|\cdot|x_n-2|+2\cdot|x_n-2|$.
this looks potentially more promising @buoyant tinsel
jolly parrotBOT
logician
ashen rover
if this doesn't work out, try posting this question in the analysis channel.
hard to know exactly what you can assume here aside from the definition of convergence...I've used the triangle inequality above^
oblique reef
every integer that takes the form: x^2 + 4x + 3 for some x is prime
oblique reef
this is true right?
toxic lichen
x^2 + 4x + 3 = (x+1)(x+3)
tired violet
you can also immediately discredit it since x=1 gives 8
definitely isnt prime for all
oblique reef
no i get that, but doesn’t it say
“for some x”
that means some x has to satisfy that the output is prime
toxic lichen
oh you wanna go formal
oblique reef
and it can yield a prime
oblique reef
oh you wanna go formal
lol i’m not sure what it means tbh
toxic lichen
the statement says
forall y. ((exists x. y = x^2+4x+3) => y prime)
the "exists x" is inside not outside as you are now trying to pretend it is
upbeat field
lmfao
oblique reef
dangge
upbeat field
crazy
oblique reef
okay i see
oblique reef
thanks ann
upbeat field
i know for a fact: (∃x ∈ Z)(x^2 + 4x + 3 ∈ P)
this is true
cuz x = 0
so one case exists
however
whats the point of saying "for some x in z"
like i dont get that wording
and i thoguht when it says every integer, it means like what x^2 + 4x + 3 = y, where y is the integer
"inferred integer"
for "every integer y in z"
cinder flower
there are non integer values of x that make x^2 + 4x + 3 an integer
the "for some x in Z" removes those from consideration
pearl pondBOT
pearl pondBOT
Available help channel!
fringe juniper
can anyone help me understand what i’m doing wrong
pearl pondBOT
can anyone help me understand what i’m doing wrong
fringe juniper
nvm i got it
pearl pondBOT
@fringe juniper Has your question been resolved?
fleet field
Hello
toxic lichen
can someone solve this with all the steps on a paper so its clear pls
we won't do this for you, no.
fleet field
☹️
toxic lichen
#rules, #info and #❓how-to-get-help are clear on that
warped violet
No point in things being solved for you
fleet field
okay then say how i have to solve this
midnight haven
!status
pearl pondBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
I'd say the first thing you can do is make all the exponents positive
By this rule
$x^{-3} = \frac{1}{x^3}$
jolly parrotBOT
Wesley
fleet field
i do this with (2x+5)^-2/3
midnight haven
Numerator of exponent is a 4 right just confirming
fleet field
3?
midnight haven
Not quite
fleet field
(2x+5)?
midnight haven
$3x^2(2x+5)^{\frac{1}{3}}-2x^3$
jolly parrotBOT
Wesley
midnight haven
Term 1 is on the left of the minus sign, and term 2 is on the right
fleet field
x^2?
fleet field
okay thnxx
midnight haven
Then you can separate the fractions
midnight haven
I'm almost there
Dang
Alright I got it
Start here:
From beginning:
$3x^2(2x+5)^{1/3}-\frac{2}{3}x^3(2x+5)^{-2/3}$
jolly parrotBOT
Wesley
jolly parrotBOT
Wesley
midnight haven
Cancels the three from 2/3 because it's in denominator
$3x^2(2x+5)^{1/3}- \frac{2x^3}{3(2x+5)^{2/3}}$
jolly parrotBOT
Wesley
fleet field
alrighht lemme try
midnight haven
But basically subtract those two fractions, which results in a 3-layer kind of fraction. Keep simplifying very top of layers, then you use this rule:
$\frac{\frac{a}{b}}{c} = \frac{a}{b}*\frac{1}{c}$
jolly parrotBOT
Wesley
midnight haven
To simplify it even further
fleet field
alright let me try
pearl pondBOT
@fleet field Has your question been resolved?
pearl pondBOT
pearl pondBOT
Available help channel!
midnight haven
By looking only at the parametric equations,
How do i find the points the graph intersects
pearl pondBOT
@midnight haven Has your question been resolved?
wheat eagle
high-school math here, answer key is 2u=v, someone please tell me how to solve
wheat eagle
Idk how to even proceed
I may not be here to see when you answer since I have to sleep soon, so thanks in advance and please do ping !
pearl pondBOT
@wheat eagle Has your question been resolved?
glossy pecan
Please may I get someone to explain to me how to work this out
wicked hull
b is the angle of W and Z I think so
glossy pecan
<@&286206848099549185>
pearl pondBOT
@glossy pecan Has your question been resolved?
glossy pecan
Please someone help I just wanna go sleep 🤣
pearl pondBOT
@glossy pecan Has your question been resolved?
pearl pondBOT
pearl pondBOT
Available help channel!
dark prism
pearl pondBOT
warm junco
A 9 cm high pyramid has an equilateral triangle as its base, whose incircle has a radius of 2.5 cm. Find the surface area of the pyramid.#
tall flint
A 9 cm high pyramid has an equilateral triangle as its base, whose incircle has ...
!help
pearl pondBOT
A 9 cm high pyramid has an equilateral triangle as its base, whose incircle has ...
To ask for mathematics help on this server, please open your own help channel or help thread. See #❓how-to-get-help for instructions.
warm junco
Im sorry
remote roost
!status
pearl pondBOT
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
@dark prism Has your question been resolved?
merry goblet
alr have the answer but need help with explaining
factor $4x+10+16x^2-100$
jolly parrotBOT
Minds&Moves
pearl pondBOT
merry goblet
A= 4x+10+16x^2-100
=16x^2+4x-90
=2(8x^2+2x-45)
=2(4x(2x+5)-9(2x+5)
=2(2x+5)(4x-9)
what about this
coarse dawn
alr have the answer but need help with explaining
factor $4x+10+16x^2-100$
Please do not open multiple channels
merry goblet
Please do not open multiple channels
thought you were going to help me..
hello?
its just basic math
<@&286206848099549185>
factor $4x+10+16x^2-100$
jolly parrotBOT
Minds&Moves
sweet radish
I don't understand the solution really
pearl pondBOT
I don't understand the solution really
sweet radish
junior night
You're asked for the difference between the two in terms of volume
The volume of the first cylinder is 63pi
The volume of the second is 126pi, so d) 2v is your answer, when you divide 126 by 63.
junior night
Is that clear now?
junior night
No problem
sweet radish
.close
pearl pondBOT
pearl pondBOT
Available help channel!
copper ingot
What is the relationship between r and k
pearl pondBOT
What is the relationship between r and k
copper ingot
Specifically what is k in terms of r
pearl pondBOT
@copper ingot Has your question been resolved?
copper ingot
<@&286206848099549185>
pearl pondBOT
@copper ingot Has your question been resolved?
pearl pondBOT
@copper ingot Has your question been resolved?
misty hamlet
pearl pondBOT
sturdy lantern
How many days are spent on state/local taxes?
sturdy lantern
36/365
misty hamlet
isnt that 131.4?
misty hamlet
ohhhhh
sturdy lantern
You get the percentage by multiplying the decimal by 100
sturdy lantern
14/365
misty hamlet
which is 0.03835616438
sturdy lantern
Try 3.8%
sturdy lantern
Nicee
misty hamlet
can i ask you one more?
sturdy lantern
Sure go ahead
sturdy lantern
Do you have an idea on how to approach this?
sturdy lantern
Ok so we can see that the life expectancy is a lot higher in 2016 than during the stone age
misty hamlet
yes
sturdy lantern
If the life expectancy in 2016 is 2.7% of what it was in the stone age, it would imply that the life expectancy has gone significantly down
Which contradicts what we see in the graph
sturdy lantern
Almost. We are expecting it to increase, but by a lot more than 2.7%
Do you remember how we calculated the percentage in the previous problems?
sturdy lantern
Yes
misty hamlet
i guess?
sturdy lantern
After calculating the decimal value of the fraction
We multiplied by 100
We need to do the same here
sturdy lantern
Yess
misty hamlet
should i round it as well?
sturdy lantern
Wait
It said to round to the nearest integer
So 265%
Wait
Let me read the question one more time just to be sure
misty hamlet
okay
sturdy lantern
The way they defined percentage increase
Is different from what we just did
I think its best to use the formula thats given in the picture
misty hamlet
o
sturdy lantern
But amount of increase / original amount
misty hamlet
ok
sturdy lantern
Will give a different number
misty hamlet
what is the orginal amount?
misty hamlet
oh
sturdy lantern
Honestly, the question is poorly formulated. Since it can be interpreted in multiple ways
misty hamlet
true
misty hamlet
it is LOL
ok let me tryt that
1.65
so that times 100 is
165.38
so 165 is the asnwer?
sturdy lantern
🤞🤞 hopefully
sturdy lantern
LETS GOO
pearl pondBOT
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cold temple
why is et/2 raised to the power of infinity zero ?
pearl pondBOT
why is et/2 raised to the power of infinity zero ?
cold temple
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@cold temple Has your question been resolved?
placid compass
can anyone help me get into the right direction? im missing a step i feel like. I know the 800x^4cos^3(4x^5) i can get from chain rule of cos^4(4x^5) * 10 but i dont know where to get the sin(4x^5) from
dense goblet
also from chain rule
plucky nebula
Think about how you would differentiate (1 + x^2)^2
You would first bring the power down
Then write the expression with the power decreased by one
And finally, by the chain rule, differentiate the inside of the function
placid compass
I thoguht by diffrentiating the inside of the function i would turn 4x^5 to 20x^4
plucky nebula
In your case, the inside of the function is cos(4x^5)
plucky nebula
Yeah it’s confusing
placid compass
to -sin
plucky nebula
Yeah
placid compass
so i would diffrenciate twice?
plucky nebula
Yeah it’s just like the other function i gave you
placid compass
yes
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cursive flare
could someone guide me
pearl pondBOT
could someone guide me
wet osprey
What have you done
cursive flare
shown that d is a metric
thats about it
wait nvm I skipped the intermediate thingy
.close
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midnight haven
Question: There are 14 boys standing around in a circle, of which one of them is Charlie. 10 girls walk up and join the circle at random to form a larger circle. Each girl must be between 2 boys. If the girls arrange such that all ways of forming a larger circle are equally likely, find the probability Charlie is still standing between two boys.
I wrote out a sequence of BGBG... and saw that there were 3 boys who were inbetween 2 other boys so I did 3/14 but don't think this is the right answer and a reason could be is I did not consider all possible combinations or permutations but am not sure how to apply it here.
midnight haven
<@&286206848099549185>
vestal tapir
it's easy to count
with a calculator of course
the girls randomly fill 10 out of 14 spots
and the condition is that 2 spots next to charlie don't get filled
midnight haven
If I do 14 choose 10 to find the number of combinations of girls and boys standing then how can I factor in that grls have to stand inbetween 2 boys
vestal tapir
the first girl can stand in 14 spots, the next can stand in 13
like it's a fake condition sorta
you don't have to track it in a sophisticated way, it just gets used up
midnight haven
sorry I don't think I understand
midnight haven
ah ok
vestal tapir
we're choosing empty spots between boys to get filled
and they don't behave weirdly
midnight haven
ahhh okok yeah I understand your previous point
vestal tapir
they just behave like they are getting filled
midnight haven
So I think there will always be 3 spots where a boy is standing between two other boys
vestal tapir
i don't think that makes sense
like, i don;t know if it's right, if it's right, it's useless
think of boys as lampposts or something
they are static
there's 14 lampposts, one of them is red, and there's space for one girl between 2 lamp posts. what's the probability there's no girl next to a red one
midnight haven
If there are 10 girls with 14 lampposst each one would have to not stand in the two spots next to the red lampost so would it be 1/12! ?
vestal tapir
If there are 10 girls with 14 lampposst each one would have to not stand in the two spots next to the red lampost
yes, that's how i see it
no clue why it should be 1/12!
it would be like (12/14)(11/13)...
like 10 misses in a row
midnight haven
Yeah sorry I made mistake and thought it was one girl with 12 spaces they could fill
vestal tapir
,calc (3/5)(4/6)(5/7)(6/8)(7/9)(8/10)(9/11)(10/12)(11/13)(12/14)
jolly parrotBOT
Result:
0.065934065934066
devout surge
Hi, I just need some math double-checked
pearl pondBOT
Hi, I just need some math double-checked
old geyser
Send it
devout surge
Ok, so we got f(x, y) = x - y
I need to calculate the partial derivative wrt x and y
I get 0 for both, is this correct?
foggy mason
no lol
devout surge
i didnt think so
heres my logic
df/dx = x - 1
treat y as a constant, which is 1
old geyser
That's not correct
old geyser
Partial f/partial x is not x -1
It's just like doing a regular ass derivative but any other variable is treated like a constant
So partial x of xy + x + y is y + 1
devout surge
So partial x of xy + x + y is y + 1
not sure i understand why you put the xy in there
old geyser
not sure i understand why you put the xy in there
It's an example
pearl pondBOT
old geyser
but wouldnt you get `x1 + x + 1`
No
Partial x means to take the derivative wrt only x
,w partial x of (xy + x + 1)
jolly parrotBOT
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midnight haven
How do i find the area inside this parabola
pearl pondBOT
How do i find the area inside this parabola
midnight haven
Is it this?
pearl pondBOT
@midnight haven Has your question been resolved?
pearl pondBOT
@midnight haven Has your question been resolved?
pearl pondBOT
@midnight haven Has your question been resolved?
nimble cave
Is it this?
if f is the function f(x) = (1/4p)x^2, then f doesn't have an inverse. but the preimage of h contains exactly 2 elements (unlesls h = 0); you can just pick the positive one
otherwise seems good
you can write it out more explicitly than f^{-1}(h) though
pearl pondBOT
@midnight haven Has your question been resolved?
midnight haven
ty
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opal forge
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