A large tank is filled to capacity with 2000 L of pure water. Brine containing 0.25 kg salt per gallon is pumped into the tank at a rate of 20 L/min. The wellmixed solution is pumped out at the same rate. Find the number A(t) of pounds of salt in the tank at time t. In Problem above, what is the concentration c(t) of the salt in the tank at time t? At t = 5 min? What is the concentration of the salt in the tank after a long time, that is, as t - infinity : ? At what time is the concentration of the salt in the tank equal to one-half this limiting value

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