Question: Let V be the solid region in R3 formed by the portion of the cylinder x2+y24 that lies between the cone z=x2+y23 and the plane

Let V be the solid region in R3 formed by the portion of the cylinder x2+y24 that lies between the cone z=x2+y23 and the plane z=3. Let S be the surface of V, oriented with outward unit normal. (a) Sketch the region V, and describe it in cylindrical coordinates. (b) Use Gauss' theorem to find the flux of the vector field F(x,y,z)=z5i+(x+y3)j2y2zk across the surface S
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