A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 40 lb of water and is pulled up at a rate of 2 ft/s, but water leaks out of a hole in the bucket at a rate of 0.2 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi* as xi.)

A bucket that weighs 4 lb and a rope of negligible weight are used to draw water ... The bucket is filled with 40 lb of water and is pulled up at the rate of 2 ft/s, but ... Find the work done in pulling the bucket to the top of the well.1 ... Thus the work to lift the bucket out of the well is 320 ft-lb. 2. ... Since the well is 80 ft deep, it takes.

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