Suppose 2 mg of a drug is injected into a persons bloodstream. As the drug is metabolized, the quantity diminishes at the continuous rate of 4% per hour. (a) Find a formula for Q(t), the quantity of the drug remaining in the body after t hours. (b) By what percent does the drug level decrease during any given hour? (c) The person must receive an additional 2 mg of the drug whenever its level has diminished to 0.25 mg. When must the person receive the second injection? (d) When must the person receive the third injection?
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