Question: Let Rbe the solid in the half-space y>0(i.e.to the right of the xz-plane), enclosed by the plane y=0 and the surfaces z=x2+y2 and z=8-x2-y2.(a) Sketch

Let Rbe the solid in the half-space y>0(i.e.to the right of the xz-plane), enclosed by the plane y=0 and the surfaces z=x2+y2 and z=8-x2-y2.(a) Sketch this region.(b) WriteRxyzdVasan iterated integral in cylindrical coordinates.(c) Evaluate the integral in part (b).

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