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w08e - Math 151 Workshop 8 1 A flagpole is 40 feet high and...

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Math 151, Workshop 8 1. A flagpole is 40 feet high and stands on level ground. A flag is attached to a 120 foot rope passing through a pulley at the top of the flagpole. The other end of the rope is tied to a car at ground level. If the car is driving directly away from the flagpole at 3 ft/sec, how fast is the flag rising when the top of the flag is 20 feet off the ground? R r 2. Two circles have the same center. The inner circle has radius r which is increasing at the rate of 3 inches per second. The outer circle has radius R which is increasing at the rate of 2 inches per second. Suppose that A is the area of the region between the circles. At a certain time, r is 7 inches and R is 10 inches. What is A at that time? How fast is A changing at that time? Is A increasing or decreasing at that time? 3. The numbers R 1 , R 2 , R 3 , and R satisfy the following equation: 1 R 1 + 1 R 2 + 1 R 3 = 1 R . (The total resistance R , of a circuit composed of parallel resistances R 1 , R 2 , and R 3 .) a) If R 1 = 1 and R 2 = 2 and R 3 = 3, compute R exactly. b) If both R 1 and R 3 are held constant, and R 2 is increased by . 05, what is the approximate
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