For each of the following, find E f dV. a) f(x. y, z) = z2 and E
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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.
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a These surfaces intersect when 6 z 2 z ie z 23 Thus the projection E 3 is the circle ...View the full answer
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