Question: Evaluate the surface integral s (curl F) n dA directly for the given F and S. F as in Prob. 1, z

Evaluate the surface integral ∫s∫ (curl F) • n dA directly for the given F and S.

F as in Prob. 1, z = xy (0 ≤ x ≤ 1, 0 ≤ y ≤ 4). Compare with Prob. 1.

Data from Prob. 1

F = [z2, -x2, 0], S the rectangle with vertices (0, 0, 0), (1, 0, 0), (0, 4, 4), (1, 4, 4)

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