A Drug Is Being Administered Intravenously to a Patient at a Constant

question 45

Short Answer

A drug is being administered intravenously to a patient at a constant rate of 2 mg/hr.The following table shows the rate of change of the amount of the drug in the patient's body at half-hour intervals.Initially there is none of the drug in the patient's body.
$\begin{array}{lccccccccc}\text { Time (hours) } & 0.0 & 0.5 & 1.0 & 1.5 & 2.0 & 2.5 & 3.0 & 3.5 & 4.0 \\\text { Rate (mg/hr) } & 2 & 1.09 & 0.75 & 0.57 & 0.46 & 0.39 & 0.33 & 0.29 & 0.26\end{array}$ Use the trapezoid rule to estimate of the total amount of the drug in the patient's body after four hours.Round to 2 decimal places.

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