Question: 1. The catenary cosh x = ½ (ex +e-x) represents the shape of a hanging cable. Find the exact length of this catenary between x = -1 and x = 1.
2. Concern the region bounded by the quarter circle x2 + y2 = 1, with x ≥ 0, y ≥ 0. Find the volume of the following solids.
The solid whose base is the region and whose crosssections perpendicular to the x-axis are squares.