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

question 51

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

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