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

Question 13

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=12n = 12 and the formula R=60D024C(t)dtR = \frac { 60 D } { \int _ { 0 } ^ { 24 } C ( t ) d t } to estimate the person's cardiac output, where DD is the quantity of dye injected in milligrams, C(t)C ( t ) is the concentration of the dye in the aorta, and RR is measured in liters per minute. Round to one decimal place.
t024681012141618202224C(t)002.66.39.77.54.53.52.20.60.30.10\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 & 6.3 & 9.7 & 7.5 & 4.5 & 3.5 & 2.2 & 0.6 & 0.3 & 0.1 & 0 \\\hline\end{array}

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6.5 liters...

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