Mathematics

Mathematics

Problem

A solid has cross sections perpendicular to the xx-axis that are semicircles. At each xx in the domain 0≤x≤30\le x\le 3, the diameter of the semicircle is d(x)=4−2xd(x)=4-2x. Determine an explicit formula for the area A(x)A(x) of a cross section in terms of xx.

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