Let F= 3yi + 8zj + 6xzk. Evaluate ∫∫∂w F • dS for each of the following regions W.
(a) x² + y² ≤ z ≤1 (b) x² + y² ≤ z ≤ 1 and x ≥ 0 (c) x² + y² ≤ z ≤ 1 and x ≤ 0