Water is raised from a well 40 ft deep by a bucket attachedto a rope. When the bucket is

Chapter 8, Problem 70

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Water is raised from a well 40 ft deep by a bucket attachedto a rope. When the bucket is full, it weighs 30 lb.However, a leak in the bucket causes it to lose water ata rate of 1/4 lb for each foot that the bucket is raised.Neglecting the weight of the rope, find the work done inraising the bucket to the top.

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