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A 100 foot cable is used to haul a 300 pound load from the ground to...

A 100 foot cable is used to haul a 300 pound load from the ground to the top of a 100 foot tall building. The cable has varying density so that the density at a height h feet above the ground is δ ( h ) = 30 − 2 h pounds per linear foot. The load being lifted has a leak, and leaks at a constant rate, so that by the time it reaches the top of the building it weighs only 250 pounds. Determine the work performed by the time the load (or what's left of it) reaches the top of the building.

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