Math Solutions

[Step-by-Step] PHARMACOLOGY An oral painkiller is administered to a patient, and t hours later, the concentration of drug in the patient's bloodstream is given

Question: PHARMACOLOGY An oral painkiller is administered to a patient, and \(t\) hours later, the concentration of drug in the patient's bloodstream is given by

\[C(t)=\frac{2 t}{3 t^{2}+16}\]
  1. At what rate \(R(t)\) is the concentration of drug in the patient's bloodstream changing \(t\) hours after being administered? At what rate is \(R(t)\) changing at time t?
  2. At what rate is the concentration of drug changing after 1 hour? Is the concentration changing at an increasing or decreasing rate at this time?

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