A heavy rope, 40 ft long, weighs 0.3 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.)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.

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Chapter4: Polynomial And Rational Functions
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A heavy rope, 40 ft long, weighs 0.3 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.)
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.

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