(Steps Shown) A swimming pool is 50 ft long and 20 ft wide. Its depth varies uniformly from 2 ft. at the shallow end to 12 ft at the deep end. Suppose that the


Question: A swimming pool is 50 ft long and 20 ft wide. Its depth varies uniformly from 2 ft. at the shallow end to 12 ft at the deep end. Suppose that the pool is being filled at a rate of 1000 gal/min. At what rate is the depth of water increasing when the depth is 6 ft?

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