Let S be the solid with flat base, whose base is the region in the a: 1; plane defined by the curves y : em, 3; : 72, m : 1 and a: : 2, and whose cross sections perpendicular to the 2 axis are equilateral triangles with bases that sit in the z y plane. a) Find the area A (w) of the cross-section of .9 given by the equilateral triangle that stands perpendicular to the 1: axis, at coordinate w. A (m) = a (Exact formula) (We must write 6 /\ :1: for em. 6 /\ (2 * :L' 1) for 623371, etc) b) Find the volume of S with i0.01 precision. Answer: Number