A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is filled with 42 lb 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 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.)

2580 ft-lb

Step-by-step explanation:

Water leaks out of the bucket at a rate of

Work done required to pull the bucket to the top of the well is given by integral

Here, function is the total weight of the bucket and water feet above the bottom of the well. That is,

is the initial height and is the maximum height of well. That is,

Find the work done as,

Hence, the work done required to pull the bucket to the top of the well is

the line of

answer: it is 8

step-by-step explanation:

you know why its 8