8. Now suppose F = yi+(2-x²)k and consider the solid E bounded by the xy-plane and z = 4-x²-y². Denote E= S₁ US₂ where S₁ is the planar disk and S₂ the quadric surface, with outward-pointing normals. (a) Sketch E, identify the type of S2, and the normal of $₁. (b) Compute the flux across the disk S₁ by direct integration. (c) Apply the divergence theorem to compute the flux across S₂.

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