Question: a. Find the volume of the solid whose base is the region|x|+|y|2 and whose vertical cross sections perpendicular to the y-axis are semicircles (with diameter

a. Find the volume of the solid whose base is the region|x|+|y|2 and whose vertical cross sections perpendicular to the

y-axis are semicircles (with diameter along the base).

b. Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by the graphs of the functionsy=x2,y=8x2

and to the right ofx=1.5 about they-axis.

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