A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds

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A large tank is fi­lled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. The well-mixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t.

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