For , the base of a solid is the region between the curve and the -axis. Cross…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

For

0\le x\le 4

, the base of a solid is the region between the curve

y=\sqrt{x}

and the

x

-axis. Cross sections perpendicular to the

x

-axis are equilateral triangles whose sides lie in the base. Express the area

A(x)

of a triangular cross section as a function of

x