Question: A worker on scaffolding 75 ft above the ground needs to lift a 330 lb bucket of cement using a chain that weighs 3 lb/ft.

A worker on scaffolding 75 ft above the ground needs to lift a 330 lb bucket of cement using a chain that weighs 3 lb/ft.

A worker on scaffolding 75 ft above the ground needs to lift a 330 lb bucket of cement using a chain that weighs 3 lb/ft. (a) Suppose we lift the bucket from xto x + Ax feet from the ground. Approximately how much work is needed to lift just the bucket Ax feet? S350 Ax ft-lb ww Approximately how much work is needed to lift the remaining chain Ax feet? (75 3Ax) ft-lb x , (b) Set up a single integral to find the total work needed to lift the bucket from the ground to a point 40 feet above the ground. IT (c) What is the total work required to lift the bucket 40 feet above the ground? ft-lb

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