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Differential Equations
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A 50 gallon tank initially contains a brine mix of 50 gallons of water and 25 pounds of a dissolved salt. At time t=0,pure water flows into the tank at the rate of 2 gallons a minute, and the well mixed solution flows into a second 50 gallon tank containing 50 gallons of pure water. The well mixed solution then flows out of the second tank at 2 gallons per minute. When will the amount of salt in the second tank be a maximum? At this moment, how much salt has been lost, as outflow from the second tank?
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