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

question 36

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, C(t) is the concentration of the dye in the aorta, and R is measured in liters per minute. Round to one decimal place.
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline t & 0 & 2 & 4 & 6 & 8 & 10 & 12 & 14 & 16 & 18 & 20 & 22 & 24 \\\hline C(t) & 0 & 0 & 2.6 & 5.9 & 9.7 & 7.9 & 4.6 & 3.5 & 2.2 & 0.8 & 0.2 & 0.1 & 0 \\\hline\end{array}$

---

Definitions:

Direct

A straightforward approach or method that does not involve intermediaries or detours.

Public Goods

Goods or services produced by the government; they can be jointly consumed by many individuals simultaneously at no additional cost and with no reduction in quality or quantity.

Purchasing Power

A currency's value determined by the volume of goods or services that can be bought with one monetary unit.

Federal Budget

The annual financial statement presenting the government's proposed revenues and spending for a fiscal year.