4 Maximum Area A rectangle is bounded by the x- and y-axes 6-X V = 2 and the graph of y = (6 - x)/2 (see figure). What length and 2+ (x, y) width should the rectangle have so that its area is a maximum? 2 3 4 5 6 -1 - Maximum Area A rectangle is bounded by the x-axis and the semicircle y = v25 - x2 (see figure). What length and width 61 y= V25 -x2 should the rectangle have so that its area is a maximum? (x, y) Construct a cylindrical water tank (open at top) from the least amount of material. The tank must contain 10 cubic units of water