i don't understand where the cos(45) comes from
#help-33
buoyant pawn
and how it says only the forces along the diagonal contribute
i don't understand why
marsh citrusBOT
@buoyant pawn Has your question been resolved?
buoyant pawn
<@&286206848099549185> pls i've been stuck on this for so long
buoyant pawn
<@&286206848099549185>
mighty pier
@buoyant pawn is there any more information on this?, like a diagram?
I think there is physics's concept for direction of force
buoyant pawn
the second image is the diagram
here's the full answer if you want to see more context
mighty pier
i don't understand where the cos(45) comes from
it is the component of the force along the diagonal, and in order to get the magnitude of the force along diagonal u take the component of the force vector
buoyant pawn
it is the component of the force along the diagonal, and in order to get the mag...
but why do we need the force along the diagonal?
mighty pier
and how it says only the forces along the diagonal contribute
force by wire 3 will act diagonally, and by symmetry the sine component for wire 2 and wire 4 will cancel out ( the direction perpendicular to the diagonal direction)
and the component along diagonally of wire 2 and wire 4 will add up so it is 2 times the cos component
i thought wire 4 is placed opposite to wire 1, replace wire 3 with wire 4
buoyant pawn
is this diagram correct for the forces?
because isn't wire 1 attracted to the other 3
mighty pier
yes it is but you want the force on wire 1
mighty pier
is this diagram correct for the forces?
it is the opposite
u need to calculate the force ON wire 1
by others
buoyant pawn
i saw this in another problem and i don't understand when to use this law
vs sqrt(x^2 + y^2)
buoyant pawn
u need to calculate the force ON wire 1
that drawing is for the forces on wire 1
i thought
mighty pier
it is the drawing of force exerted by wire 1 on others
buoyant pawn
that would mean wire 1 was repelling the other 3 though
i thought it was attracted to them
bc their currents are in the same direction
mighty pier
that would mean wire 1 was repelling the other 3 though
i think you are correct
sorry for the misunderstanding
buoyant pawn
no worries
i don't think it really matters in the context of this problem anyways because we just want to find the magnitude
mighty pier
yes, your diagram was correct
mighty pier
no worries
yes, but in bigger picture our concepts should be accurate( in this case mine)
buoyant pawn
okay i think i understand it now
mighty pier
i hope you found the reason of diagonal direction
buoyant pawn
you use the parallelogram law to find the combined vector and then you add that to the other vector
bc they're both in the same direction
mighty pier
yes
buoyant pawn
i don't know how i've gone through calculus 1 2 3 differential equations and mechanics and i've never heard of this
mighty pier
the reason other component doesnt add cuz they cancel each other
mighty pier
i don't know how i've gone through calculus 1 2 3 differential equations and mec...
it is more concentrated to vectors unless you studied vector calculus, you wont be seeing vectors that much
buoyant pawn
but we spent like 2 weeks on vectors and then went into multivariable stuff
and then linear algebra stuff
mighty pier
one component is in the direction of diagonal and other is perpendicular
so the in the perpendicular direction of diagonal force by wire 4 and wire 2 cancels
buoyant pawn
what does the second drawing represent?
buoyant pawn
ok now i'm confused again
isn't the angle between F4 and F3 45
and F2 and F3 45
but it's 90 between F4 and F2
so when they add F2 and F4 why do they use cos45 and not cos90
elfin berryBOT
buoyant pawn
can i do it this way?
mighty pier
can i do it this way?
Ok so, when you directly add the vectors
That is by using that formula, you use the angle between the vectors
And about the components for the vectors
mighty pier
is the way i did it a correct way though?
Yes it is correct
maiden trout
Yeah with these problems, it’s really helpful to split into components
Vector addition is really complicated otherwise
mighty pier
But components of vectors are really helpful and is used in the solution you
Provided
buoyant pawn
eh
they're not super different imo
E&M is just harder bc you can't really visualize anything
you need to develop a lot of intuition
maiden trout
What’s your major
buoyant pawn
mechE
buoyant pawn
But components of vectors are really helpful and is used in the solution you
ok i think i finally get it
in that solution they split the diagonal vector into 2 and then added those to the horizontal/vertical components
mighty pier
in that solution they split the diagonal vector into 2 and then added those to t...
Yes, and since they are equal in magnitude you see 2 F cos45
marsh citrusBOT
marsh citrusBOT
Available help channel!
weary apex
marsh citrusBOT
weary apex
how does it go from the original series to the next one
lhopitals rule doesnt do that, deriving it doesnt do that either
twin girder
lhopitals rule doesnt do that, deriving it doesnt do that either
What does L’H have to do with anything here?
twin girder
how does it go from the original series to the next one
Start with dividing all terms by n
brittle coral
how does it go from the original series to the next one
It's not changing to that second step lol, they're 2 series of exact same degree of n, being compared for the diversion test
It's called comparison test look it up
final flicker
Pls help
final flicker
In the xy-plane, the graph of the equation
y = —x + 9x— 100 intersects the line y = c at
exactly one point. What is the value of c?
cedar smelt
is that a parabola?
-x^2
if it is
find the x point that the derivative is 0
and put f(x0) there
its something like this
honest quiver
In the xy-plane, the graph of the equation
y = —x + 9x— 100 intersects the line ...
and if it isn't -x^2 just do y=0 , -x+9x-100=0 , 8x=100 and x =12.5
marsh citrusBOT
@final flicker Has your question been resolved?
final flicker
so what's the answer
honest quiver
so what's the answer
first you should said that it's x^2 or x
honest quiver
sec here we just helping you not giving you the answer
cedar smelt
this is the solution if its a parabola
final flicker
first you should said that it's x^2 or x
wym?
cedar smelt
In the xy-plane, the graph of the equation
y = —x + 9x— 100 intersects the line ...
.
-x + 9x
is -x = $-x^2$
elfin berryBOT
Not Scammer
cedar smelt
because the problem is wrong if it isn't
honest quiver
it said -x^2 in the q already
so
cedar smelt
no it's not 9/2
it is f(9/2) which is -79.75
cedar smelt
if it's a linear line than it intersects every y=c line one time
final flicker
if it's a linear line than it intersects every y=c line one time
why
how is c y-intercept
cedar smelt
y-intercept is a different thing than intercepting every line parallel to the x-axis
final flicker
does y intersect c every 2 times in parabola
marsh citrusBOT
final flicker
@cedar smelt @honest quiver i know other way
you get the x coordinate of the vertex
so it's gonna be -b/2a
so you plug in the b and a from the original equation to get the answer of -b/2a
so it's gonna be -(9)/(-1)2
so you get -9/-2 which is also 9/2
honest quiver
so you plug in the b and a from the original equation to get the answer of -b/2a
that true and also you can B^2-4ac for seeing it gonna intercept x
final flicker
that true and also you can B^2-4ac for seeing it gonna intercept x
no
that's for finding the roots of x or x intercepts
why need it
final flicker
that true and also you can B^2-4ac for seeing it gonna intercept x
ph yes
marsh citrusBOT
✅
final flicker
.close
marsh citrusBOT
desert socket
scemmer
marsh citrusBOT
✅
stark trail
what happens when a quadratic function = 0?
What do you mean?
final flicker
What do you mean?
what happens when a +b + c = 0 in a quadratic function
stark trail
That’s not a quadratic function
stark trail
The coefficients you mean?
final flicker
wait no
stark trail
Your question still doesn’t make much sense what you mean by “what happens”
f(x)=5x^2-3x-2
Here’s an example of such a quadratic function
What do you want to know about it
final flicker
Your question still doesn’t make much sense what you mean by “what happens”
like will y = 0 if the x^2 + x + a = 0
stark trail
What?
stark trail
Okay so your first step to understanding would be to rewrite the equation as a function of y
Can you do that
make it in the form y=f(x)
final flicker
byt y is f(x)
stark trail
Yes that’s why they’re equal
final flicker
ok so y = 1x^2 +9x-100
stark trail
Not quite, there’s a small mistake, it should be -1x^2
stark trail
-1x^2 +9x -y - 100 = 0
Unless you made a typo here
stark trail
y = -1x^2 +9x-100
And you want to know, when is this quadratic function 0?
Or what do you want to know about it
stark trail
Okay
final flicker
ok
stark trail
y = -1x^2 +9x-100
final flicker
yes
stark trail
This is a function of x
final flicker
ok
stark trail
So, for it to “be 0” that means, you put in an x-value, and the y-value you got out was 0
Does that make sense?
stark trail
So say you wanted to know, when is it actually 0, then you need to find the x-values that when you plug them in, y=0
Agreed?
final flicker
no i'm not
i didnt change
it's ax^2 + bx +c =0
so
a= -1
b= 9
c= -y-100
so
stark trail
No
final flicker
why not
stark trail
c=-100
final flicker
no
stark trail
Yes
final flicker
we want y= 0
stark trail
y=f(x)
final flicker
so y should be in c
stark trail
No
stark trail
Listen I’m not going to argue with you about this
final flicker
okay
final flicker
np
final flicker
we represent that as y=f(x)
we take the y the other side
stark trail
y=f(x)=-x^2+9x-100
stark trail
There’s no need to take it to the other side, and that actually makes it incorrect
y=f(x)=-x^2+9x-100
This is what we have
This equals 0 when
0=-x^2+9x-100
So a=-1, b=9, c=-100
Hopefully that helps, but if not I suggest you find a different resource
final flicker
No
stark trail
Since it’s incorrect to subtract y over
final flicker
what's the difference between yand fx
stark trail
There is no difference
stark trail
There is no difference
The reason is because it is more convenient at times to write just “y” than f(x)
stark trail
Or, sometimes we want to represent two variables, x and y, without them actually being related as functions of eachother
final flicker
okay
stark trail
Or, sometimes we just want to look at points on the xy-plane (x,y) without talking about functions
stark trail
But in this case, there’s no difference
final flicker
Or, sometimes we just want to look at points on the xy-plane (x,y) without talki...
that's what u just said but ok
😭🙏🏻
final flicker
But in this case, there’s no difference
alrighty
stark trail
They’re not exactly the same and I’m just trying to give you different ways of seeing it
final flicker
They’re not exactly the same and I’m just trying to give you different ways of s...
okay ty
nvm
oh yes 0=y-y
therefore y = 0 when c= -y -100
so the vertex will be (0,0)
or maybe not
final flicker
so the vertex will be (0,0)
bs
stark trail
No
y = -x^2+9x-100
Both sides are EQUAL they’re the same thing
Exact same thing
If y=0
Then the other side
Also equals 0
0=-x^2+9x-100
what you’re doing, is just subtracting y to the other side
But that isn’t making y=0
final flicker
i'm opening desmos
marsh citrusBOT
@final flicker Has your question been resolved?
vital nymph
in 2nd problem = no test means tests happens both days so answer should 1-1/3.1/3 ,am i correct or wrong
marsh citrusBOT
in 2nd problem = no test means tests happens both days so answer should 1-1/3.1/...
stuck pollen
in 2nd problem = no test means tests happens both days so answer should 1-1/3.1/...
I think it’s saying that the probability that a test occurs in a given day is 1/3. Since the student is at home, then they must miss the test. So the probability otherwise is 2/3
Does that make sense?
vital nymph
Does that make sense?
but in ii) we have to find probabilty of atleast one test missed so as given in img but i think i should be 1-1/3.1/3 insted of 1-2/3.2/3
halcyon viper
net gain will be 0
still temple
what happens when a quadratic function = 0?
marsh citrusBOT
what happens when a quadratic function = 0?
still temple
.close
marsh citrusBOT
marsh citrusBOT
Available help channel!
dusk moth
marsh citrusBOT
urban shard
without the space after $
elfin berryBOT
DJJ
foggy pier
Thanks
dusk moth
i just put C for now, but idk how to do it
my "a" and "b" for both arc length integrals are 0 and 4 respectively, right?
foggy pier
You're right about 6-2x
dusk moth
Have you got some working?
when i type it in my calculator it lands on none of the choices
foggy pier
Haha it happens
foggy pier
😭
dusk moth
😭
stuff like this
im just wondering if this is my R
and also how would the line of revolution being y=0 affect this
cedar smelt
im just wondering if this is my R
yes
cedar smelt
and also how would the line of revolution being y=0 affect this
it will give a 3d object that looks like 2 cones smashed on each other
desert socket
scemmer
dusk moth
it will give a 3d object that looks like 2 cones smashed on each other
the empty space between my area and the line of revolution wont do anything to my final answer?
actually, i should finish the reading for that 😭
dusk moth
mhm, so just the integral of (top-bottom)^2 from a to b would work?
sour yew
cedar smelt
!occupied
marsh citrusBOT
Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).
cedar smelt
mhm, so just the integral of (top-bottom)^2 from a to b would work?
check this
khan explains very well
sour yew
!occupied
Too bad too sad, because no one has answered my question yet even though I made my own channel
cedar smelt
it doesn't mean you can occupy other channels tho
tag helpers and wait if you need help
cedar smelt
in your own channel.
sour yew
This is my own channel
dusk moth
100%-20%-20%-20%=40% 40% of 70k is 28000
plug stuff in and viola
wait i spelled that wrong
but u get the point
sour yew
100%-20%-20%-20%=40% 40% of 70k is 28000
I know the first part is 2800 (thank you) but the next part is to find out how much it will be in 10 years then rounding off to the nearest cent
dusk moth
(plug. stuff. in)
dusk moth
https://www.khanacademy.org/math/ap-calculus-bc/bc-applications-of-integration-n...
ty for that, ill watch it rn bc my test is in a few days and im running outta time 😭
dusk moth
I know the first part is 2800 (thank you) but the next part is to find out how m...
this one is better
well, better image to understand since it labels it, but same formula
sour yew
this one is better
Rounding off to the nearest cent is the hardest part
dusk moth
.326 cents rounds to .33
sour yew
So the answer would be .33?
dusk moth
.326 cents rounds to .33
no, i left out the dollar amount here and just gave u the rounded cents
dusk moth
this one is better
plug ur numbers in here
sour yew
I don't know how to do anything 😔 I just wanted the answer solved
sour yew
Ye photomath gave me incorrect answers
Ok I know it's 50,979.36 or 50,978.80 or 51,019.36
sour yew
do you have a calculator
Nah
sour yew
But it's confusing
dusk moth
But it's confusing
which part
sour yew
Ye it's either those 3 numbers
sour yew
Ok I know it's 50,979.36 or 50,978.80 or 51,019.36
This part
sour yew
Are u able to do it for me
sour yew
Wait so what's the final answer u got?
dusk moth
u tell me what u got first lol
dusk moth
ping me when ur back
dusk moth
Can you screenshot what you typed for me?
sour yew
I typed that into the calculator
dusk moth
That looks suspiciously similar to chat gpt
sour yew
Nah I just type it out lol
dusk moth
And last time I checked... my calculator doesn't talk to me, it just gives me numbers 👀
dusk moth
Use your phone calculator
sour yew
I did
sour yew
Android
dusk moth
I should see a similar screenshot to this
sour yew
Btw what answer you came up with
dusk moth
...
sour yew
😭
sour yew
Off by like 1k
So basically 51,019.32?
dusk moth
If u type EXACTLY that and THEN press "6" you will get my answer
Type that in
sour yew
Type what in?
sour yew
so 0.6?
dusk moth
I'm scared that you're suffering from C.I.S.
dusk moth
I'm scared that you're suffering from C.I.S.
CIS = calculator illiteracy syndrome, aka "chat gpt is close enough" 👀
I used to have it... and I got like a 20 on 3 homeworks in a row... and then I was borderline failing... then I WAS failing... buuuut I clutched
sour yew
sour yew
Do I type that in the computer?
dusk moth
Cents goes to only 2 places so we need to look at the 3rd one to determine if we round up
dusk moth
Do I type that in the computer?
No do it manually
dusk moth
Cents goes to only 2 places so we need to look at the 3rd one to determine if we...
The third digit is 6
Is 6 greater than or less than 5
sour yew
So 36?
dusk moth
Nope
sour yew
51019.326?
dusk moth
Is 6 greater than or less than 5
ANSWER MY PROMPTS PLS 😭
sour yew
Is 6 greater than or less than 5
Greater
dusk moth
Good
If it's greater than or equal to 5, then we can round up by 1
So 32.6 cents rounds to 33 cents
sour yew
Ahh because it's closer to 30
dusk moth
When considering rounding, compare the digit in the next place to 5
dusk moth
Well
Correct and incorrect
IF you were told to round to the neatest 10 cents, or to the nearest dime, then that's correct
BUT
You were told to round to the nearest cent, or the nearest penny
sour yew
Ohh
dusk moth
And you have 32.6 cents
You can't have 0.6 of a penny
So you found up at 33 pennies or 33 cents
dusk moth
Np
sour yew
Well partially the rounding off still gets me a bit confused
dusk moth
51019.326...
sour yew
Oh make sense
graceful prawn
X=4logx, how do I go about solving this?
sour yew
51019.326...
So it's always the third digit that you round off from?
And not the second
?
dusk moth
So it's always the third digit that you round off from?
Nope
U said they asked for nearest CENT
That's the 3rd digit
If they asked for the nearest DOLLAR
dusk moth
51019.326...
You would round to 51019
Since now ur considering the .3
And 3 is less than 5 so don't round up
dusk moth
X=4logx, how do I go about solving this?
Log base of what?
sour yew
Kk I appreciate the help
dusk moth
Np
dusk moth
Log base of what?
10 or e
graceful prawn
Base 10,
Really im trying to figure out how to@compare algorithms (log base 2) but I completely forgot how@to@work with logs, last time@I used them was over 10 years ago
I even tried to ask chat gpt and it doesn’t give me an answer
dusk moth
Wait is it 8 or 4
dusk moth
X=4logx, how do I go about solving this?
Here u put 4
graceful prawn
4 is fine, it’s more about trying what identity I need to use
I don’t care about the actual answer but the method I need to use
dusk moth
Tbh I got no clue
graceful prawn
Yeah, I can’t find any help for this problem online
I don’t even know what I would call it
dusk moth
Are you familiar with the lambert w function?
dusk moth
Looks interesting though
i think i got something
i need like 5 more mins
This is a complete mess
graceful prawn
Thank you!
dusk moth
Wait what is this even for
dusk moth
Thank you!
I'm asking bc it doesn't look like any normal problem 😭
graceful prawn
I am reading about algorithms, and was trying to compare a n and log n algorithm. My questions was “at what n does one algorithm become faster than the other” so I thought, easy just solve for n.
Apparently not easy lol,
dusk moth
well
i got that as an n
which is equal to that or...
@graceful prawn thats the work if u want but idk if its very helpful 😭
W(ue^u)=u
helpful for setups like W(xe^x) because the output is x
.close
marsh citrusBOT
graceful prawn
Thank you
marsh citrusBOT
Available help channel!
still temple
Hey
still temple
How can I find the area of a circle without knowing the size
dusk moth
What do you know
dusk moth
NOTHING else???
still temple
Man. It's dumb. I should contact my teacher lmao
dusk moth
Can u send a picture of the problem
still temple
I can't take screenshots like that on mobile
dusk moth
Is it possible to type it out/copy paste
still temple
But there's no photo. It says find the area of the 2d circle
Should there be a photo?
dusk moth
Does it give diameter, radius, circumference?
still temple
No it only tells me to find the area of a 2d circle
final flicker
That’s making -x^2+9x-y-100=0
yea bro I want that
marsh citrusBOT
yea bro I want that
final flicker
No it only tells me to find the area of a 2d circle
do they give you the value of d at least? 😭
the question is so broad looool
😭😭😭
marsh citrusBOT
@final flicker Has your question been resolved?
sour yew
What do you know
Got it correct my guy @dusk moth
marsh citrusBOT
Got it correct my guy <@482724850591596548>
@sour yew Has your question been resolved?
final flicker
Got it correct my guy <@482724850591596548>
wot
frigid marsh
Real quick how is this function odd
marsh citrusBOT
Real quick how is this function odd
twilit grove
what is the definition of an odd function
frigid marsh
uh f(-x) = -f(x) ?
twilit grove
Substitute -x everywhere you see x
frigid marsh
cos(-x) = cos(x) so i did
still temple
do they give you the value of d at least? 😭
They gave the words 2d circle lmao
marsh citrusBOT
@frigid marsh Has your question been resolved?
pure quail
when solving the part (a) is it correct to say "since each point in the triangle is equally likely to be chosen, the joint density function is uniform and we find the value of density, which is constant over the area of the triangle."
marsh citrusBOT
when solving the part (a) is it correct to say "since each point in the triangle...
dry prawn
the joint density function is uniform
yes
and we find the value of density, which is constant over the area of the triangle.
well you have to actually provide the density, as well as the bounds
pure quail
how do i do that
dry prawn
how do you normally find density functions?
pure quail
well it depends on the random variables, if they are discrete or continious
dry prawn
it should hopefully be clear which of those two you're working with
pure quail
yes continious
dry prawn
if the density is uniform, then the density function is just some constant
pure quail
if the density is uniform, then the density function is just some constant
yes. okay but then it should be constant over the area of the triangle?
dry prawn
yes
pure quail
aha okay then it is 2
dry prawn
provide the correct bounds
dry prawn
saying the same for y would make your bounds a square
pure quail
right okay, so i must say 0≤x≤1 and 0≤y≤1−x
dry prawn
you must
pure quail
thank you so much ))
marsh citrusBOT
@pure quail Has your question been resolved?
frigid marsh
.reopen
marsh citrusBOT
marsh citrusBOT
Available help channel!
short agate
Jeff has taken out a loan for college. He started paying off the loan with a first payment of $175. Each month he pays, he wants to pay back 1.4 times as the amount he paid the month before. Show Jeff how to represent his first 36 payments in sigma notation, either using the equation editor or uploading a picture of your written notation. Then explain how to find the sum of his first 36 payments, using complete sentences. Find the sum and explain why this series is convergent or divergent. (10 points)
marsh citrusBOT
Jeff has taken out a loan for college. He started paying off the loan with a fir...
marsh citrusBOT
@short agate Has your question been resolved?
marsh citrusBOT
marsh citrusBOT
Available help channel!
strong apex
hi! so i was looking to answer what percentage of engineering respondents work in europe but im a bit confused. naturally, i divided the number of engineers by the number of respondents in europe but that ended up with 93% which wasnt an answer choice. what would be the best way to approach this?
marsh citrusBOT
hi! so i was looking to answer what percentage of engineering respondents work i...
silk bobcat
find percentage of each and multiply
strong apex
find percentage of each and multiply
could you further explain that? percentage of what exactly should i be calculating
silk bobcat
percentage of european with respect to the whole
multiplied by number of engineers
it's like estimate right
not derive a specific answer?
strong apex
also, to further add onto the info, i added all the departments together and the regions together but they dont equal the same number so im not sure if that has an affect on the answer
the choices are cannot say, 17%, 22%, 46%, and 8%!
silk bobcat
the choices are cannot say, 17%, 22%, 46%, and 8%!
a good estimate would be 17%
But if it's asking for an exact value it's probably not possible
strong apex
a good estimate would be 17%
But if it's asking for an exact value it's probably...
may i ask how that was estimated?
or i guess, the reasoning behind the estimate would be a better question
silk bobcat
may i ask how that was estimated?
it's just the general probability of European
In theory should be the same across all subsets
so it's 1210/the sum of all of them so 6967
strong apex
it's just the general probability of European
In theory should be the same acros...
this makes sense, thank you so much!
.close
pure quail
im trying to do the part (b) but im not sure of my solution i did it as integrating the joint density function over possible values of x for a given y, is that correct
marsh citrusBOT
im trying to do the part (b) but im not sure of my solution i did it as integrat...
@pure quail Has your question been resolved?
marsh citrusBOT
@pure quail Has your question been resolved?
fallow quiver
i got n=10 and k=1
marsh citrusBOT
i got n=10 and k=1
broken magnet
i got n=10 and k=1
Do you know binomial theorem?
fallow quiver
yup
cedar smelt
wait
broken magnet
Well, by the binomial theorem, k * (n choose 1) = 10, right?
fallow quiver
i compared nx with 10x
broken magnet
i compared nx with 10x
It should be nk=10
cedar smelt
yep
fallow quiver
oh
cedar smelt
nkx = -10x
broken magnet
1 + n(-kx) + n(n-1)/2! (-kx)^2
fallow quiver
nkx = -10x
i didnt take the negatuive tho
cedar smelt
m2 in my first take
fallow quiver
i compared it with the (1-x) one
marsh citrusBOT
marsh citrusBOT
Available help channel!
steep knoll
marsh citrusBOT
long yew
On the first one, -(x+1) turns into -x-1 so overall 2-x-1=-x+1
on the second one its the reverse thing, you put it back in the bracket
steep knoll
I'm sorry I dont understand. Where does the 2 go?
long yew
try opening the brackets
marsh citrusBOT
marsh citrusBOT
Available help channel!
sinful sparrow
marsh citrusBOT
stark trail
Don't close and reopen a new channel just to post the same question
dusky viper
dont close and reopen it if ur not getting answers
I can help u solve the mathematics but im not here to fill in gaps of content you don't know.
sinful sparrow
i looked through my textbook and there isn’t any formula idk y
dusky viper
what textbook is this in?
sinful sparrow
chemistry fourth canadian edition john a.olmsted
dusky viper
yeah they would've made the assumption that u know a certain level of maths
do u know the volume of a sphere?
elfin berryBOT
Galaxy
sinful sparrow
but how is this the same as atom and nucleus
are we just using the sphere equation because it’s sphere shaped i guess
dusky viper
If this is a math question
i mean its from a chemistry textbook, but i'd still say this applies
maiden trout
A nucleus can be roughly modeled as a sphere I suppose
sinful sparrow
so let’s asking to compute typical atomic and nuclear volumes and i don’t have a formula in my textbook so do i assume it’s the e sphere one @maiden trout
maiden trout
Yeah I’m not sure it depends on the level of chemistry you’re studying
sinful sparrow
it’s just first year
but i don’t remember doing the sphere equation for anything in hs
that’s y i’m confused
also i just assumed the formula would be in the textbook
maiden trout
Yeah if i had to guess it seems to be a simple application of spherical volume
marsh citrusBOT
Available help channel!
worldly crypt
A bit confused on how to approach this question
marsh citrusBOT
A bit confused on how to approach this question
mighty pier
nice
worldly crypt
.close
marsh citrusBOT
marsh citrusBOT
✅
worldly crypt
nice
wait do you by chance know why c is how it is
I have the answers but I'm not exactly sure if my reasoning is correct
mighty pier
wait do you by chance know why c is how it is
Not really, I have seen the proof, and results from other relations but never paid much attention to it nor does it stick in my mind
worn vale
sleek lake
marsh citrusBOT
sleek lake
is this wrong or what?
there's 8000 from below and there's 1000 from the gravity, why not 70 m/s²?
sand fable
70 seems... legit
whole compass
is this wrong or what?
there's 8000 from below and there's 1000 from the gravity...
Might be in space
sand fable
it says "during lift-off"
sleek lake
but it would be true in space right?
whole compass
dapper badge
could mean lift off from a planet that happens to have a gravity defying lack of gravity
whole compass
but it would be true in space right?
Yes
sleek lake
ok
sand fable
could mean lift off from a planet that happens to have a gravity defying lack of...
sO true
sleek lake
thank you all
dapper badge
assume the elephant is a sphere
sleek lake
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marsh citrusBOT
halcyon jungle
void elm
marsh citrusBOT
Available help channel!
leaden monolith
I was learning some vector calc and encountered a vector field where there's a hole, and somehow it turned out very very similar to the residue theorem from CA, i was wondering about the connection that there were 1/2ipi factors coming out and also 2pi factors coming out in the vector calc version
marsh citrusBOT
I was learning some vector calc and encountered a vector field where there's a h...
marsh citrusBOT
@leaden monolith Has your question been resolved?
leaden monolith
i dont know what the specific question i want to ask is
it just looks really similar
😭
is it possible to perhaps recover one of them from the other?
or is there some sort of direct translation of how such a vector calc problem can be rewritten in CA as a contour integral instead
stark trail
or is there some sort of direct translation of how such a vector calc problem ca...
what kind of vector calc problem
I can send you a few resources
one sec
leaden monolith
it was the last part here
stark trail
leaden monolith
when the singularity (1, -1) was inside the interior we could shrink any simple closed curve into that small loop around the singularity
very similar to what you do in CA
OOHHH
when you identify the C -> C functions has R^2 -> R^2
you have a 2d vector field
stark trail
🔠
leaden monolith
so where did the i come from in the residue theorem again
is that the parametrisation being e^{ix} where x goes from 0 to 2pi but the integral of that guy spits out an i
you get ie^{ix} as the primitive so when you do the limits there's a i left over
stark trail
it comes from the cauchy integral formula
leaden monolith
but in the real case you dont get the i because your components are in terms of the 1st and 2nd entries
which just ends up being sin^2 and cos^2
hmmmmm
leaden monolith
yeah im thinking that the specific part that gives us that i is the parametrisation
the part where we need to call our parametrisation e^{ix}
so when we integrate that guy we get an i out the front
leaden monolith
yeah im thinking that the specific part that gives us that i is the parametrisat...
i understand the cauchy integral formula but in the derivation of that we get the i through this i think
that's why the real version just has 2pi but the complex analogy has an i out the front
alright thank you sir austin
❤️
.close
marsh citrusBOT
stark trail
alright thank you sir austin
⚔️
marsh citrusBOT
Available help channel!
elfin surge
hi
elfin surge
someone please help me out
onyx flume
elfin surge
I wanna know how to solve 12 and 13
elfin surge
can you help me solve it I am stuck
low ruin
So the first step would be to determine where you are stuck
elfin surge
no clue how to answer
low ruin
Find the midpoint
low ruin
If you have two coordinates (x1, y1), (x2, y2) taking average of the coordinates will give you the midpoint
elfin surge
ok then?
elfin surge
then wha tdo we do?
low ruin
The gradient perpendicular to the line is -1/m
low ruin
from there use m(x-x1) = y - y1
low ruin
I would prefer if you performed the actual steps first before asking about subsequent steps
elfin surge
I wanna know just how to do it....
low ruin
You are not listening to me
elfin surge
im
low ruin
Find the midpoint
elfin surge
idk what that is..
low ruin
I gave you definition earlier
I am done. I would recommend you refer to some YouTube video starting with how to find midpoint
marsh citrusBOT
@elfin surge Has your question been resolved?
low mica
marsh citrusBOT
low mica
The answer would just be {2, 3, 4, 5}
which is just "A"
because "B" and "C" have nothing in common
dapper badge
yep
elfin berryBOT
pixel
dapper badge
U is union, v is or
so i think it would be asking for (-4, -2] v (1, 5]
kind of a weird question tbh
honest quiver
because "B" and "C" have nothing in common
But how do you know (c,d,e or f) are not equal to 4,5,6,7.
dapper badge
they arent the same thing though
low mica
But how do you know (c,d,e or f) are not equal to 4,5,6,7.
im going through the basics of my topic since I am revising so I can tell you for sure that it isn't that complex
honest quiver
ok
low mica
they arent the same thing though
mm but its still union in my question regardless
i'll worry about 'v' later when I'm taught about it
or when I have free time to teach myself
although i'd prob focus on calculus then
i know this content, im just making sure of my knowledge cause I haven't done these topics in months
have an exam coming soon sooo
dapper badge
If you did union instead, it would mean that you are combining the two into a set
or means you are choosing between the two
although based on the question, it looks like you would want union, not or
low mica
well yeah wouldn't that be describing the subsets
low mica
although based on the question, it looks like you would want union, not or
yeah that was my bad, i didn't mean to use 'or'
i didnt even know it had its own separate thing
ill be more careful next time with my wording
f
for this one, would we quite literally just dot those coordinates down
and connect them
and it'll make a graph
then we can use the vertical line test to see if its a function or not
if that's how its done then I wont waste my time doing this, seems really simple
low mica
then we can use the vertical line test to see if its a function or not
(the vertical line test is where we draw a vertical line anywhere in the graph, if there are two intercepts then its not a function --> circle wouldn't be a function)
dapper badge
is this notation supposed to mean 0 is mapped to 1, 0 is mapped to 2, etc?
if so, one disqualifier for being a function is when you have an element in the domain being mapped to more than one element in the codomain
dapper badge
however, you can have 2 different elements in the domain being mapped to one element in the codomain (such as (-2)^2 = 4 = (2)^2)
dapper badge
(0,1) and (0,2)
precisely
dapper badge
yeah thats fine
low mica
yeah ill skip over that then
ima send images of 6 graphs in a bit
and ill attach the domain and range for them
is it fine if u check my answers
dapper badge
if im still up lol
low mica
Domain: [-2, infinity)
Range: [-4, infinity)
Domain: [-2, infinity)
Range: [1, infinity)
Domain: (negative infinity, 4)
Range: (-16, infinity)
Domain & and range: all real numbers (infinity, infinity)
Domain: (negative infinity, 3)
Range: (negative infinity, 16)
Domaine: [-4, infinity)
Range: (negative ifnity, 2]
aren't all these just (negative infinity, infinity)
D?
still two <--> arrows
so
still all real numbers
anyway
so
i have an answer
let me try use latex rq
yeah ok idk how to use latex
but
first equation: $50$, $x \leq 400$ $\ \$ Second equation: $0.30x$, $\text{idk domain}$