5. The length of a rectangle is increasing at a rate of 4 ft/ sec. The width is decreasing at a rate of 7 ft/sec. What is the rate of change of the area of the rectangle with respect to time when the length is 3 ft and the area is 30 ftz? 6. As you travel from Detroit in a certain direction, the outside temperature T in degree depends on your distance d in miles from Detroit. For a particular 10 0-mile trip, the temperature was given by the function T(d) = w/d + 30. a. What was the total change in temperature from the beginning of the trip to the end of the trip? b. What was the average rate of change from the beginning of the trip to the end of the trip? c. At what rate was the temperature changing with respect to distance at d = 4? 7. A 10 ft long ladder rests against a wall. If the bottom of the ladder slides away from the wall at 2 ft/sec, how fast is the angle between the top of the ladder and the wall changing - IT - when the angle 15 T radians? 8. A rocket rises straight up from a point X on the ground. A tracking device is on the ground 30 feet from point X. The distance between the tracking device and the rocket. is changing at a rate of 100 Ft/ sec. At what rate is the height of the rocket changing when the rocket is 40 feet high