Thank you! I was just talking with a friend and he also pointed out that I was using theta when I should be using phi. Now I have the correct answer and understand where I messed up.
:smile:
If the first part is definitely correct, then I have to integrate \int^{\pi}_{0}\int^{2\pi}_{0} (2882/5)sin(θ)sin2(φ) dθdφ. Evaluating (2882/5)sin(θ)sin2 from 0 to 2π gives me zero, which means the final integral is also zero. Since the answer isn't zero I think my beginning equation must be...
I don't think this is right. It's a lot to write out in latex so I'll summarise it!
\int^{\pi}_{0}\int^{2\pi}_{0}\int^{5}_{3} [(r sinφ cosθ)2+(r sinφ sinθ)2]r2sinθ drdθdφ
= \int^{\pi}_{0}\int^{2\pi}_{0} (2882/5)sin(θ)sin2(φ) dθdφ
This equals 0 so the final answer is 0? I always doubt...
Hi tiny-tim :smile:
Should it be dρdθdφ? I've been trying to work through and learn from my book but it's very difficult to understand. I'm having trouble deciding which order to integrate things. Also I've noticed people using r instead of ρ but I don't think that matters to much, it's still...
Homework Statement
Use spherical coordinates.
Evaluate\int\int\int_{E}(x^{2}+y^{2}) dV where E lies between the spheres x2 + y2 + z2 = 9 and x2 + y2 + z2 = 25.
The attempt at a solution
I think my problem may be with my boundaries. From the given equations, I work them out to be...
I'm still not having any luck with this problem. I know that I need to find the Potential Energy (U0) and total Energy. The work function is given as 5.1eV and from the picture it looks like this is the value of the PE, I think I could be wrong though. I still have no idea how to find potential...
I'm in the process of studying for my final and I just can't solve this problem:
The work function (energy needed to remove an electron) of gold is 5.1 eV. Two pieces of gold (at the same potential) are separated by a distance L.
For what value of L will the transmission probability for an...
It's for online homework that only accepts the correct answer. I can only enter answers so many times before the question is locked, so I want to be sure of the answer before I enter it again
Evaluate the line integral, where C is the given curve.
\int_{c} xy\:ds, when C: x=t^{2}, \ y=2t\ , \ 0\leq t\leq4
To solve this I should use the formula \int^{b}_{a} f(x(t),y(t))\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}}dt
This gives me \int^{4}_{0}...
I bought the Spivak book just before I started Calculus I so that I could 'prepare'. Huge mistake. I understood very little and to be quite honest, it made me fear what was about to come. I'm now taking Calc III and still won't go back to Spivak because of my earlier experiences with it.
If...