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A bucket begins weighing 10 pounds, including the sand it holds. The bucket is to be lifted to the top of a 45 foot

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A bucket begins weighing 10 pounds, including the sand it holds. The bucket is to be lifted to the top of a 45 foot tall building by a rope of negligible weight. However, the bucket has a hole in it, and leaks 0.3 pounds of sand each foot it is lifted. Find the work done lifting the bucket to the top of the building. foot-pounds

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