Question: Consider the solid region S that lies under the surface z=8x2y2 and above the rectangle R=[0,2][1,4].(a) Find a formula for the area of a cross-section

Consider the solid region S that lies under the surface z=8x2y2 and above the rectangle R=[0,2][1,4].(a) Find a formula for the area of a cross-section ofSin the plane perpendicular to the x-axis atx for 0x2k for x.k=1k=2(b) Find a formula for the area of a cross-section ofSin the plane perpendicular to the y-axis aty for 1y4k for y.k=1k=3(c) Find the volume ofS.

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