1. for the given cable problem, do the following: w, that approximates the work.
a) draw a picture, and set up the riemann sum
b) express the work as an integral and evaluate it.
2. a heavy rope, 50 ft long and weighing 30 lbs hangs over the edge of a building. how mich work is required to pull the rope to the top of the building?
3. for the rope in problem (6), how much work is required to pull half the rope to the top of the building? hint: consider the top and bottom halves separately.