Question

divergence theorem anyone?!

a conical domain with vertex (0,0,b) and axis along the z-axis has as base a disk of radius a in the xy-plane. find the flux of:

F= upward through the conical part of the surface of the domain.

Answer 1

found the div F to be 3(x^2+y^2)+2

Answer 2

\[b>0\quad\mbox{or}\quad b<0\]

Answer 3

b>0; i'm assuming is what's implied. that's all the question asks but it doesn't say (0,0,-b)