Question: Let E be the solid bounded above by the sphere x^2+ y^2+ z^2=16 and below by the paraboloid z =(x^2+ y^2)/6.(a) Describe the solid E

Let E be the solid bounded above by the sphere x^2+ y^2+ z^2=16 and below by the paraboloid z =(x^2+ y^2)/6.(a) Describe the solid E in cylindrical coordinates. (b) Let F(x, y, z)=(x + yz, sin(x^9 z^6), cos(x^7 y^8)). Use the Divergence Theorem to find the flux of F through the boundary of E. Use the outward pointing normal.

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