For each of the following, find E f dV. a) f(x. y, z) = z2 and E

Question:

For each of the following, find ∫∫∫E f dV.
a) f(x. y, z) = z2 and E is the set of points satisfying x2 + y2 + z2 < 6 and z > x2 + y2.
b) f(x, y, z) = ez and E is the set of points satisfying x2 + y2 + z2 < 9, x2 + y2 < 1, and z > 0.
c) f(x, y, z) = (x - y)z and E is the set of points satisfying x2 + y2 + z2 < 4, z > √x2 + y2, and x > 0.