A bucket that weighs 4 Ib and a rope of negligible weight are used to draw water from a well that is 90 ft deep. The bucket is filled with 44 Ib of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 Ib/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 x;* as xj.) lim Express the work as an integral. 90 Jax Evaluate the integral. X ft-lb

A bucket that weighs 4 Ib and a rope of negligible weight are used to draw water from a well that is 90 ft deep. The bucket is filled with 44 Ib of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 Ib/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 x;* as xj.) lim Express the work as an integral. 90 Jax Evaluate the integral. X ft-lb

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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