Homework Statement
Well, I'm trying to take advance in my course and learn about how to calculate flux integrals. I have a few problems I can try out but I can't seem to understand the method they are using to solve the problems.
Homework Equations
I don't know..
All I have is...
Homework Statement
For the given region R, find intR f(x) dA. The region has the following points:
(-1,1), (-1,-2) and (3,-2)
Homework Equations
The Attempt at a Solution
I'm having problems finding the boundaries for the integral. I know that we have:
-1<=x<=3 and -2<=y<=1...
yep. I mean, I did translate it from French but I'm usually pretty good at it. It doesn't mention any sort of distance or anything. Just says "from point A to B".
In regards to the phase difference:
with the lense I found: 500nm
without: 750nm
so the phase difference is 750/500 = 1.5?
Homework Statement
A light wave is propagated from point A to point B in space. We introduce along the way a glass lens with parallel faces of index 1.5 and width L=1mm. The value of teh wavelength is 500μm in space. How many wavelengths are between A and B with and without the glass lens...
Ok, so theta is pi/4 so its from theta is from (0,pi/4). As for r, I'm still a bit confused. You said it has to go out of the circle so can I pick whatever I want like 3 or 4?..or how do I find it?
Thanks for being patient with me.
Ok. I drew a graph. From looking at it, r would be from 0 to 1 and theta from 0 to pi/2?
By the way, shouldn't x=y and x=(4-y^2)^1/2 instead of x=(1-y^2)^1/2? If that is the case, r would be between 0 and 2 I think.
Homework Statement
Convert the following integrals into polar coordinates and then calculate them.
a) int(0 , 2^(1/2)) int(y, [(4-y^2)^1/2]) xydxdy .
Homework Equations
x = rcostheta
y = rsintheta
r = (x^2 + y^2)^(1/2)
The Attempt at a Solution
Would it simply be:
int(0...
Question:
Two waves have the same amplitude, speed, frequency moving in the same region of space. The resultant wave can be expressed like the sum of two waves: psy(y,t) = Asin(ky+wt) + Asin(ky-wt+pi).
Express each wave individually using the complex representation. Demonstrate, using this...