(Solved): (1 point) A tank contains 2800L of pure water. Solution that contains 0.06kg of sugar per l ...

(1 point) A tank contains $$2800\mathrm{L}$$ of pure water. Solution that contains $$0.06\mathrm{kg}$$ of sugar per liter enters the tank at the rate $$8\mathrm{L}/\min$$, 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? $$y(0)=$$ (b) Find the amount of sugar after $$t$$ minutes. $$y(t)=$$ $$\mathrm{kg})$$ (c) As t becomes large, what value is $$y(t)$$ approaching ? In other words, calculate the following limit. $$\underset{t??}{\lim }y(t)=$$ $$(\mathrm{kg})$$ Note: You can earn partial credit on this problem. You have attempted this problem 1 time. Your overall recorded score is $$33\%$$. You have 3 attempts remaining.