A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 130 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.
Express the work as an integral.
Evaluate the intergral
(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.
-Express the work as an integral.
-Evaluate the intergral
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