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Mathematics, 14.02.2020 01:53 Taylor129
A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is 90 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ft/s but water leaks out of a hole in the bucket at a rate of .25 lb/s. Find the work done in pulling the bucket to the top of the well?
A. 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)
B. Express the Integral
C. Evaluate the integral
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