Create an iterated double integral that gives the surface area of the part of the hyperboloid x2 + y2 - z2 = 1 between z = 0 and Z = 3. Use the parametrization r(Theta,z) = cos Theta, sin Theta,z. Show your work, but do not solve the integral. Compute F middot dS where F = y, z, x and S is the surface parameterized by r(u, v) = u2 - u, u + v, v2 with 0 u 2 and - 1 v 1. Use the orientation ru x rv. Show your work.