(a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤ c. your answer will be in terms of a, b, c. flux =

Without knowing the details of the vector field, I can't give you a direct answer for the flux. At any rate, the general idea would be to use the divergence theorem, which states the flux of over the closed surface (surface of a cube in this case) is equivalent to the integral of the divergence of over the interior of the surface (call it ):



The latter integral is less work to compute, and hence the usefulness of the divergence theorem. Denoting the vector field by , we have