A tank contains 2800\displaystyle {2800} L of pure water. Solution that contains 0.02\displaystyle {0.02} kg of sugar per liter enters the tank at the rate 2\displaystyle {2} 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)=\displaystyle {y}{\left({0}\right)}=   (kg)

(b) Find the amount of sugar after t minutes.
y(t)=\displaystyle {y}{\left({t}\right)}=   (kg)

(c) As t becomes large, what value is y(t)\displaystyle {y}{\left({t}\right)} approaching ? In other words, calculate the following limit. lim⁡t→∞y(t)=\displaystyle \lim_{{{t}\to\infty}}{y}{\left({t}\right)}=   (kg)

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