A heavy rope 60 ft long weighs 0 7 lb ft and hangs over the edge of a building 150 ft high Let x be the distance in feet below the top of the building Enter x as x a How much work W is done in pulling the rope to the top of the building Show how to approximate the required work by a Riemann sum 6x 10 lim n 8 6 Express the work as an integral 60 6x 1 Evaluate the integral 1260 lim 816 1 1 046 10 b How much work W is done in pulling half the rope to the top of the building Show how to approximate the required work by a Riemann sum x 2 60x ft lb Ax Evaluate the integral Express the work as an integral 30 60x ft lb x dx Ax x 2 x dx