Consider the surface given by the equation , oriented upward, and let S be the part of this surface that is above the plane z = 4. Given the vector field: ,
evaluate the surface integral .
Last edited by topsquark; April 30th 2011 at 08:37 PM.
Reason: Fixed up the LaTeX
Consider the surface given by the equation , oriented upward, and let S be the part of this surface that is above the plane z = 4. Given the vector field: ,
evaluate the surface integral .
The area of integration can be found by the equation.
so the domain of integration is the unit circle.
Now change to polar coordinates to finish.
Last edited by TheEmptySet; April 30th 2011 at 10:21 PM.
Reason: typo