E-AC01 · A tank that first fills and then drains
For \(0\le t\le8\), a tank contains Q litres and has net rate \(Q^{\prime}(t)=12-2t\) litres/min. Initially it contains 20 litres.
Find Q(t).
Find the greatest amount in the tank and when it occurs.
Find all times in the model interval when the amount is 47 litres.
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