For each of the following, find S , where n is the outward-pointing normal. a) S is

Question:

For each of the following, find ∫∫S ω, where n is the outward-pointing normal.
a) S is the topological boundary of the three-dimensional region enclosed by y = x2, z = 0, z = 1, y = 4, and ω = xyz dy dz + (x2 + y2 + z2) dz dx + (x + y + z) dx dy.
b) S is the truncated hyperboloid of one sheet x2 - y2 + z2 = 1, 0 < y < 1, together with the disks x2 + z2 < 1, y = 0, and x2 + z2 < 2, y = 1, and ω = xy|z| dy dz + x2|z| dz dx + (x3 + y3) dx dy.
c) S is the topological boundary of E, where E ⊂ R3 is bounded by the surfaces x2 + y + z2 = 4 and 4* + y + 2z = 5, and co = (x + y2 + z2) dy dz + (x2 + y + z2) dz dx + (x2 + y2 + z) dx dy.