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 W div(F) dV = 2 Find the flux of F through the curved side of S. (Use symbolic notation and fractions where needed.)

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A: Since the surface is whole sphere, that is S is closed so we can apply Gauss Divergence Theorem.

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