Let S be the surface defined as z = 4 4x 2 y2 with z 0 and oriented by a normal with
Chapter 7, Problem 12(choose chapter or problem)
Let S be the surface defined as z = 4 4x 2 y2 with z 0 and oriented by a normal with nonnegative k-component. Let F(x, y,z) = x 3i + ey2 j + zex yk. Find S F dS. (Hint: Argue that you can integrate over a different surface.)
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