121616949-math.138 - 124 Chapter 6 Applications of the...

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124 Chapter 6 Applications of the Derivative Exercises 1. A cylindrical tank standing upright (with one circular base on the ground) has radius 20 cm. How fast does the water level in the tank drop when the water is being drained at 25 cm 3 /sec? 2. A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter. How fast does the water level in the tank drop when the water is being drained at 3 liters per second? 3. A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.6 m/sec. How fast is the top sliding down the wall when the foot of the ladder is 5 m from the wall? 4. A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The top of the ladder is being pulled up the wall at 0 . 1 meters per second. How fast is the foot of the ladder approaching the wall when the foot of the ladder is 5 m from the wall? 5. A rotating beacon is located 2 miles out in the water. Let
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