1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Divergence Theorem Problem

  1. Dec 6, 2008 #1
    1. The problem statement, all variables and given/known data
    evaluate [​IMG] if [​IMG] and S is the surface of the region in the first octant bounded by x = 0, y = 0, below by z = 1, and above by [​IMG]


    2. Relevant equations



    3. The attempt at a solution
    I used the divergence of F=5y+4z+7x.
    My integral was
    int(theta from 0 to pi/2)int(r from 0 to 2)int(z from 1 to 4-r^2) (5r^2sin(theta)+4rz+7r^2cos(theta)) dzdrdtheta.
    I get 26pi/3+96/5, but that's not the right answer. Is my setup wrong or am I evaluating it wrong?
     
  2. jcsd
  3. Dec 7, 2008 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    You set up is correct. I haven't checked the evaluation of the integral.
     
  4. Dec 7, 2008 #3
    Thanks for the help, but I figured it out and my setup wasn't correct. At z=1 which is the base of the region, r goes to sqrt(3) not 2. So the r integral goes from 0 to sqrt(3).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Divergence Theorem Problem
Loading...