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A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow...

A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at is deepest point. A cross-section is shown in the figure. If the pool is being filled at a rate of 0.8 ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft? (Round your answer to five decimal places.)

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Answer #1

By differentiating the equation we get

now substituting the values we get

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