Young Garza
01/20/2024 · Junior High School
Application of the Derivative - Instantaneous Rate of \[ \text { Change } \] A drug is injected into the bloodstream of a patient. The concentration of the drug in the bloodstream (in mg per \( \mathrm{cm}^{3} \) ) \( t \) hours after the injection is given by \[ C(t)=\frac{0.18 t}{t^{2}+3} \] Question \#2: Determine the instantaneous rate of change of the drug concentration after 30 minutes. mo
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The instantaneous rate of change of the drug concentration after 30 minutes is approximately \( 0.0469 \, \text{mg/cm}^3 \) per hour.
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