Eight Milligrams of a Dye Are Injected into a Vein $n=12$

Short Answer

Eight milligrams of a dye are injected into a vein leading the an individual's heart. The concentration of dye in the aorta (in milligrams per liter) measured at 2-sec intervals is shown in the accompanying table. Use Simpson's Rule with $n=12$ and the formula $R=\frac{60 D}{\int_{0}^{24} C(t) d t}$ to estimate the person's cardiac output, where D is the quantity of dye injected in milligrams, $\boldsymbol{C}(\boldsymbol{t})$ is the concentration of the dye in the aorta, and R is measured in liters per minute. Round your answer to one decimal place.
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline \boldsymbol{t} & 0 & 2 & 4 & 6 & 8 & 10 & 12 & 14 & 16 & 18 & 20 & 22 & 24 \\\hline \boldsymbol{C}(\boldsymbol{t}) & 0 & 0 & 2.6 & 5.9 & 9.7 & 7.9 & 4.6 & 3.5 & 2.2 & 0.8 & 0.2 & 0.1 & 0 \\\hline\end{array}$