Question: Drug concentration. A single injection of a drug is administered to a patient. The amount \(Q\) in the body then decreases at a rate proportional to the amount present. For a particular drug, the rate is \(4 \%\) per hour. Thus, \(\frac{d Q}{d t}=-0.04 Q Q(0)=Q_{0}\) where \(t\) is time in hours.

1. If the initial injection is 3 milliliters \([Q(0)=3]\), find \(Q=Q(t)\) satisfying both conditions.
2. How many hours (to two decimal places) will it take for only 1 milliliter of the drug to be left in the body?

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