A bag of cement originally weighing 137 lb was lifted at a constant rate. As it rose, cement also leaked out at a constant rate. By the time the bag had been lifted to 17 ft, 1/4, of the cement had leaked out. How much work was done lifting the cement this far? (Neglect the weight of the bag and lifting equipment.) Part 1. Assuming the force required to lift the cement is equal to its weight, find the force function, , that acts on the cement when the bag is at a height of x ft. Hint: it will help to find the rate (in lb/ft) at which the cement is leaking from the bag.

F(x)=

Part 2. Setup the integral that will give the work required to lift the cement 17 ft. W cement = Part 3. The work done in lifting the cement 17 ft is W ft-1b. Note: enter your answer using values correct to three decimal places