Now solved: Show how to approximate the required work by a Riemann sum. Then express the
Chapter 6, Problem 14(choose chapter or problem)
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is lled with 40 lb of water and is pulled up at a rate of , but water leaks out of a hole in the bucket at a rate of . Find the work done in pulling the bucket to the top of the well.
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