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Question:

A worker on a scaffolding 85ft above the ground needs to lift a 440lb bucket of cement from the ground to?

above the ground by pulling on a rope weighting 6lb/ft. Set up the integral of how much work is required ( only the integrand)? Let x denote the height above ground.What is the total work?

Answer:

Integral 0 to 85 [440 +(85-x)]x dx
tie 3 concrete blocks to the end of the rope and let that bucket fly up = let gravity do the work

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