Homework Statement
Verify the divergence theorem for F(x,y,z) = (x,y,2z^2) and T is the region bounded by the paraboloid z=x^2+y^2 and the plane z=1.
Homework Equations
F(ds) = div(F)dV
The Attempt at a Solution
I have successfully evaluated the integral and come up with an...
Hi everyone- thanks for the help so far...
tiny-tim,
From the pole to the equator, that's pie/2. Is that correct?
So I guess in the case that is correct, the limits are as follows:
p = from 0 to 3
phi = from 0 to (pie)/2
theta = from 0 to (2pie)
Please confirm if I have...
Homework Statement
Here is exactly what the problem says:
Let T be a solid of density one that lies below x^2+y^2+z^2=9 and above the XY-plane.
a) Use the triple integral to find its mass.
b) Find the centroid.
Homework Equations
I believe that this should be an integral in...