Problem 13E

Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high. a How much work is done in pulling the rope to the top of the building? b How much work is done in pulling half the rope to the top of the building?

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