Suppose that you have a 150 foot well. At the bottom of the well is a 3 lb bucket currently lled with 7.5 lbs of water. The bucket is attached to a 150 foot rope that weighs 20 lbs. You lift the bucket up at a speed of 2 feet per second but water leaks from the bucket at a rate of .1 lbs per second. Below is the sum of three integrals that represent the overall work necessary to lift the bucket, water and the rope to the top of the well. W = f0150 3d$ + few" wdx + fem lleda: Each of the following questions will ask you to make modications to the above integral. While all these parts are related to the original information above1 the four questions are separate. That means when you solve each part use only the information in the paragraph above and the modication presented in that particular part of the