1. (5 points) Find a rectangle with the greatest area among all the rectangles with the xed perimeter p. Express the maximum area of the rectangle in terms of p. 2. (5 points) Sketch the graph of a flmction that satises Q of the following conditions. Explain! . f(0) = 0, and f'(2) = f'(1) = r19) = 0 o gm) =0 and liggx) = 00 . f'(1') 0 on (2, 1) and (6,9) o f\"(a:) > 0 on (oo,0) and (12,00) 0 f\"(2:)