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A tank contains 2300 L of pure water. Solution that contains 0.09 kg of sugar per liter enters the tank at the rate 8 L/min,

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A tank contains 2300 L of pure water. Solution that contains 0.09 kg of sugar per liter enters the tank at the rate 8 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. lim y(t) = ( kg)

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