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a small lake contains 60,000 gal of pure water. There is an inlet stream of pure...

a small lake contains 60,000 gal of pure water. There is an inlet stream of pure water into the lake, as well as an outlet stream, both flowing at a rate of 100 gal/min. Suppose someone starts pouring water into the lake at the rate of 10 gal/min that contains 5lbs/gal of a chemical, and they do this for 8 hours. While this happens, the inlet stream of pure water is unchanged, and the outflow rate from the lake remains at 100 gal/min

A)What is the formula for the volume of the lake while the person is pouring?

B) What IVP must be solved to determine the amount of the chemical in the lake?

C)How much of the chemical is in the lake when the person stops pouring?

D) once the person stops pouring, what IVP must be solved to determine how much of the chemical is in the lake?

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