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A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bu is filled with 36 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. 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 w Enter x;" as x₁.) lim 318 Ax Express the work as an integral. ] )dx Evaluate the integral. ft-lb

A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bu is filled with 36 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. 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 w Enter x;" as x₁.) lim 318 Ax Express the work as an integral. ] )dx Evaluate the integral. ft-lb

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 36 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 x;* as x₁.) lim n→∞0 i=1 Ax Express the work as an integral. Evaluate the integral. ft-lb )dx
Transcribed Image Text:A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 36 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 x;* as x₁.) lim n→∞0 i=1 Ax Express the work as an integral. Evaluate the integral. ft-lb )dx
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