A large mixing tank initially contains 60 gallons of water in which 4 pounds of

Question

A large mixing tank initially contains 60 gallons of water in which 4 pounds of salt have been dissolved. Another brine solution is pumped into the tank at the rate of 2 gallons per minute, and the resulting mixture is pumped out at a rate of 3 gallons per minute. The concentration of the incoming brine solution is 3 pounds of salt per gallon. Let y(t) represent the amount of salt (in lbs) in the tank at t minutes. a) find an IVP that models the amount of salt in the tank. b) Determine the amount of salt in the tank

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