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A tank contains 2480 L of pure water. Solution that contains 0.08 kg of sugar per liter enters the tank at the rate 4 L/min,
A tank contains 2480 L of pure water. Solution that contains 0.08 kg of sugar per liter enters the tank at the rate 4 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the begining? y(0)= (kg) (b) Find the amount of sugar after t minutes. y(t)= (kg) (c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. limty(t)= (kg)
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