Mathematics · Application of Derivatives
A swimming pool is 40 m long, 20 m wide and 8 m deep at the deep end, and 3 m deep at the shallow end, with a rectangular bottom. If the pool is filled by pumping water into it at a rate of 40 m3/min, how fast is the water level rising when it is 3 m deep at the deep end (in m/min)?
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