Solve the problem.
-For a certain drug, the rate of reaction in appropriate units is given by $R^{\prime}(t)=\frac{3}{t}+\frac{2}{t^{2}}$, where $t$ is measured in hours after the drug is administered. Find the total reaction to the drug from $t=2$ to $\mathrm{t}=8$.
A) 4.91
B) 8.98
C) 3.54
D) 7.07

Question

Quizplus · Accepted Answer

The total reaction is the integral of the rate of reaction over the given time interval:$$\int_{2}^{8}\left(\frac{3}{t}+\frac{2}{t^{2}}\right) d t=\left[3 \ln |t|-\frac{2}{t}\right]_{2}^{8}=3 \ln 8-\frac{1}{4}-3 \ln 2+\frac{1}{2}=4.91$$

Solve the Problem R′(t)=3t+2t2R^{\prime}(t)=\frac{3}{t}+\frac{2}{t^{2}}R′(t)=t3​+t22​ , Where ttt Is Measured in Hours After the Drug Is Administered

Solve the Problem $R^{\prime}(t)=\frac{3}{t}+\frac{2}{t^{2}}$ , Where $t$ Is Measured in Hours After the Drug Is Administered