A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt pergallon is pumped into the tank at a rate of 5 gal/min. The well-mixed solution is pumped out at thesame rate.a) Find the number A(t) of pounds of salt in the tank at time t.b) what is the concentration c(t) of the salt in the tank at time t? At t=5 min? What is theconcentration of the salt in the tank after a long time (we can this concentration the limiting value),that is, as t→--? At what time is the concentration of the salt in the tank equal to one-half this limitingvalue?500 gallons

Given, The capacity of a large tank is X=500gal the rate of pumping water is rin=5gal/min And in…

Answered: A large tank is filled to capacity with…

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