Question: Let S be the half-cylinder x2 +y2 = 1, x ¥ 0, 0 ¤ z ¤ 1.Assume that F is a horizontal vector field (the

Let S be the half-cylinder x2 +y2 = 1, x ‰¥ 0, 0 ‰¤ z ‰¤ 1.Assume that F is a horizontal vector field (the z-component is zero) such that F(0, y, z) = zy2i. Let W be the solid region enclosed by S, and assume that

Find the flux of F through the curved side of S?

I div(F) dV = 4

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