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In: Physics

A tank initially contains 300 gallons of a salt solution made by dissolving 30 pounds of...

A tank initially contains 300 gallons of a salt solution made by dissolving 30 pounds of salt in water. A solution containing 0.6 pounds of salt per gallon enters the tank at a rate of 5 gallons per minute. A drain is opened at the bottom of the tank through which the well stirred solution leaves the tank at the same rate of 5 gallons per minute. Let y(t) denote the amount of salt (in pounds) which is in the tank at time t. (A) find out y(t)?( B) how much salt is in the tank after 1/2 hour?

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