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In: Advanced Math

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

A large tank with total capacity of 400 gallons is filled with 300 gallons of fluid in which 50 lbs. of salt is dissolved. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well mixed solution is pumped out at a slower rate of 2 gal/min.

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

b. When will the tank overflow?

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