1. (04.03 MC) The length of a rectangle is increasing at a constant rate of 3 cm/s, and its width is increasing at a constant rate of 0.5 cm/S. At the time the length is 5 cm and the width is 1.2 cm, how fas the rectangle increasing? (1 point) O 1.5 cm-/s O 15.6 cm-/s O 6.1 cm-/s O 6 cm-/s 2. (04.03 LC) Assume that the length and width of a rectangle is a differentiable function of t, and let P be the perimeter of the rectangle. Find an equation that relates the rate of change for perimeter of (1 point) OP=21 + 2w OP =21+2w O =/+w 3. (04.03 MC) The radius , height h, and volume V of a cone are related by the equation V = wr2. How is Of related to of and Of if neither r nor h is constant? (1 point) () av ( 2 on + 2t- ) Odv _1 2d dh at " dt Ov= 1min4. (04.03 MC) A police car is approaching a right-angled intersection from the north at 35 mph, and a speeding car is heading east at 30 mph. When the police car is 0.75 miles north of the intersection and the speeding car is 1 mile to the east, what is the rate that the distance between the police car and car is changing? (1 point) Increasing 45 miles per hour Decreasing 15 miles per hour Decreasing 3 miles per hour Increasing 3 miles per hour 5. (04.03 HC) A rocket launching straight up from a level field is tracked by a camera 200 feet from the launching point. When the camera's angle of elevation is , the angle is increasing at the rate of 0.18 radians per minute. At what rate is the rocket rising at that moment? (1 point) 72 ft/min 144 ft/min 36 ft/min 18 ft/min