For each of the following, find a (piecewise) smooth parametrization of S and of S, and compute

For each of the following, find a (piecewise) smooth parametrization of S and of ϑS, and compute ∫∫S g da.
a) S is the portion of the surface z = x2 - y2 which lies above the xy-plane and between the planes x = 1 and x = -1, and g(x, y, z) = √1 + 4x2 + 4y2.
b) S is the surface y = x3, 0 < y < 8, 0 < z < 4, and g(x, y, z) = x3z.
c) S is the portion of the hemisphere z = √9 - x2 - y2 which lies outside the cylinder 2x2 + 2y2 = 9, and g(x, y, z) = x + y + z.