A tank containing 100 gallons of water initially has 40lbs of salt dissolved in it. A solution containing 0.25 lbs of salt per gallon is pumped into the tank at a rate of 4 gallons per minute. The solution is then mixed thoroughly and is removed from the tank at the same rate of 4 gallons per minute. a. Set up a differential equation and solve for Q(t) the amount of salt in the tank dQ at time t. Recall that = amount in- amount out. dt b. What is lim Q(t)? t-8

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