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A heavy rope, 40 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter xi* as xi.) (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. lim_{n??} ?_{i=1}^{n} ( 7/10 x_i ) ?x Express the work as an integral. ?_0^{40} ( 7/10 x ) dx Evaluate the integral. 560 ft-lb (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. lim_{n??} ?_{i=1}^{n} ( ) ?x Express the work as an integral. ?_0^{20} ( ) dx Evaluate the integral. ft-lb

          A heavy rope, 40 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter xi* as xi.) (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. lim_{n??} ?_{i=1}^{n} ( 7/10 x_i ) ?x Express the work as an integral. ?_0^{40} ( 7/10 x ) dx Evaluate the integral. 560 ft-lb (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. lim_{n??} ?_{i=1}^{n} ( ) ?x Express the work as an integral. ?_0^{20} ( ) dx Evaluate the integral. ft-lb

A heavy rope, 40 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 90 ft high. (Let x be the distance in feet below the top of the building. Enter xi* as xi.) (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. limn?? ?i=1^n ( 7/10 xi ) ?x Express the work as an integral. ?0^40 ( 7/10 x ) dx Evaluate the integral. 560 ft-lb (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. limn?? ?i=1^n ( ) ?x Express the work as an integral. ?0^20 ( ) dx Evaluate the integral. ft-lb

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