Register to reply

Divergence Theorem Problem

by tommyp
Tags: divergence, theorem
Share this thread:
Dec6-08, 07:41 PM
P: 2
1. The problem statement, all variables and given/known data
evaluate if 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

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?
Phys.Org News Partner Science news on
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds
Dec7-08, 07:58 AM
Sci Advisor
PF Gold
P: 39,339
You set up is correct. I haven't checked the evaluation of the integral.
Dec7-08, 12:03 PM
P: 2
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).

Register to reply

Related Discussions
Divergence theorem Advanced Physics Homework 3
Divergence Theorem Calculus & Beyond Homework 2
*screams in anger* ok, divergence theorem problem Calculus & Beyond Homework 8
Divergence theorem...again Introductory Physics Homework 2
Problem with the Divergence Theorem General Math 7