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

question 21

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 $10 \mathrm { mg }$ of dye and the dye concentration, in mg/L, is modeled by
$c ( t ) = \frac { 1 } { 2 } t ( 15 - t ) , 0 \leq t \leq 15$
where $t$ is measured in seconds.

• A) \(0.029\)
• B) \(0.039\)
• C) \(0.026\)
• D) \(0.044\)
• E) \(0.036\)
• F) \(0.020\)

---

Definitions:

In Vivo Treatment

A form of therapy or treatment conducted in the natural environment of the patient, as opposed to a laboratory or other controlled setting.

Phobias

Extreme, irrational fears of specific objects, creatures, or situations that lead to significant anxiety and avoidance behaviors.

Stimulants

A class of drugs that have a stimulating or arousing effect on the central nervous system, and create their effects by influencing the rate of uptake of the neurotransmitters dopamine, norepinephrine, and serotonin at receptor sites in the brain.

Treat

To manage or address a problem or disease through interventions such as medication, therapy, or lifestyle changes.