Question

S is the part of the paraboloid z = x^2+y^2 that lies inside the cylinder x^2+y^2 ≤ 1. Use cylindrical coordinates to parametrize S.

Answer 1

Is it possible for you to rephrase this question?

Answer 2

Compute \iintSf dS, where f(x,y,z) = xy and S is the part of the paraboloid z = x2+y2 that lies inside the cylinder x2+y2 ≤ 1. Hint: Use cylindrical coordinates to parametrize S.