Let S be the flat-bottomed solid whose base is the region of the xy-plane bounded by the curves y=ex, y=-2, x=0, and x=1, and whose sections perpendicular to the x-axis are equilateral triangles whose base lies in the xy-plane. a) Determine the area A(x) of the section of S through the plane of x points.

A(x)=__________ (Exact formula)

b) Determine the volume of S to the nearest 0.01. Answer: ____________