A tank initially contains 80gal of pure water. Brine containing 2lb of salt per gallon enters...

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A tank initially contains 80gal of pure water. Brine containing2lb of salt per gallon enters the tank at 2gal/min, and the(perfectly mixed) solution leaves the tank at 3 gal/min. Thus thetank is empty after exactly 80 min.

(A) Find the amount of salt in the tank after t minutes.

(b) What is the maximum amount of salt ever in the tank?

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