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 D W flux: div(F) dV = 8 Find the flux of F through the curved side of S. (Use symbolic notation and fractions where needed.)

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