1. Find the area of the largest rectangle that can be inscribed in a circle cf radius 1': inches. {1 pclntsi 2. A hot is to be made from a piece cf cardboard 15 in. x In in. by cutting equal squares nut cf the corners and turning up the sides. Find the volume of the largest but that can be made this way. {3 points] 1. A 17 ft ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground away from the wall at the constant rate of 5 ft/sec, how fast will the top of the ladder be moving down the wall when it is 8 ft above the ground? (7 points) 2. Water is flowing into a (inverted) conical reservoir 20 feet and 10 feet across the top, at the rate of 15 ft3/min . Find how fast the surface is rising when the water is 8 feet deep? (8 points)