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A tank contains 1280 L of pure water. Solution that contains 0.02 kg of sugar per...

A tank contains 1280 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the tank at the rate 3L/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 beginning?

(b) Find the amount of sugar after t minutes.
y(t)=

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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