A large tank with total capacity of 400 gallons is filled with 300 gallons of fluid...

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A large tank with total capacity of 400 gallons is filled with300 gallons of fluid in which 50 lbs. of salt is dissolved. Brinecontaining 2 pounds of salt per gallon is pumped into the tank at arate of 3 gal/min. The well mixed solution is pumped out at aslower rate of 2 gal/min.

a. Find the number A(t) of pounds of salt in the tank at timet.

b. When will the tank overflow?

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