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