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Problem 10: Water is drawn from a well using a leaky bucket. Assume the following: •...

Problem 10: Water is drawn from a well using a leaky bucket. Assume the following: • The well is 23 ft deep and requires 23 ft of rope to pull the bucket to the top. • The rope weighs a total of 12 lbs. • The bucket weighs 3 lbs when empty. • The bucket holds 16 lbs of water. It is full at the bottom of the well and loses half of its water by the time it reaches the top of the well. • The water leaks from the bucket at a constant rate. Set up an integral expression for how much work was done when pulling the bucket up the first 7 ft on its way to the top.

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