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## 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 answer:

div(F) = x/dx + y/dy + 2z^2/dz = 2+4z

Cylindrical limits of integration:

z: r^2 to 1

r: 0 to 1

theta: o to 2(pi)

I found the answer to be 7/3 * pi.

How do I verify this? Do I need to do any more to do so? Please advise ASAP! Thanks!