Dye Dilution Is a Method of Measuring Cardiac Output $A \mathrm { mg }$

question 74

Multiple Choice

Dye dilution is a method of measuring cardiac output. If $A \mathrm { mg }$ of dye is used and $c ( t )$ is the concentration of the dye at time $t$ , then the cardiac output over the time interval $[ 0 , T ]$ is given by
$$F = \frac { A } { \int _ { 0 } ^ { T } c ( t ) d t }$$
Find the cardiac output over the time interval $[ 0,15 ]$ if the dye dilution method is used with $11 \mathrm { mg }$ of dye and the dye concentration, in $\mathrm { mg } / \mathrm { L }$ , is modeled by
$$c ( t ) = \frac { 1 } { 2 } t ( 15 - t ) , 0 \leq t \leq 15$$
where $t$ is measured in seconds.

• A) \(\quad 0.031\)
• B) \(0.043\)
• C) \(0.029\)
• D) \(\quad 0.049\)
• E) \(0.039\)
• F) \(0.022\)

---

Definitions:

Labor Problem

Issues or conflicts arising between employers and employees regarding working conditions, wages, hours, and other employment terms.

Standards

Predetermined models or metrics used to measure quality, performance, or compliance in various fields.

Workplace Behavior

The actions and interactions of individuals within an employment setting, encompassing both productive tasks and social relations.

Policies

Guidelines or principles that direct decision-making and operations within an organization or institution.