Mathematics

Mathematics

Problem

A solid has rectangular cross-sections perpendicular to the x-axis. At a particular value of xx, the base of the rectangle in the xyxy-plane extends from y=2y=2 to y=5y=5, and the rectangle’s height at that xx is given by h(x)=3xh(x)=3x. Which of the following expressions gives the area A(x)A(x) of that cross-section? a) A(x)=3x+5−2A(x)=3x+5-2 b) A(x)=21xA(x)=21x c) A(x)=3x(5−2)A(x)=3x(5-2) d) A(x)=12 (3x)(5−2)A(x)=\tfrac12\,(3x)(5-2)

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