Abucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. the bucket is filled with 36 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.)