A$)$ Reproduce the following cardiac equilibrium plot, shown in lecture, using

MATLAB. You must use linear equations in your code. Make sure you include

your code as an $.$m file to be submitted to Gradescope, as well as your code as text

within your main document $($see $$Homework Submission Guidelines$$ in the

syllabus$).$ In your code, at minimum, make sure that:

$($i$)$ the Qc and Qr graphs are plotted on the same set of axes,

$($ii$)$ the colors of each graph match as those above, i$.$e$.$ blue for Qc and red for

Qr$,$

$($iii$)$ you include a title and axes labels with appropriate axes limits and tick

marks,

$($iv$)$ you include a legend

B$)(1$ pts$)$ What is the equilibrium cardiac output in the system above? Include a unit

in your answer.

BENG $330$: Computational Methods in Bioengineering

Spring $2023$

Due Mon. $02/05/2023$ at $11$:$55$pm to Blackboard

C$)(1$ pts$)$ What is the mean systemic pressure in the system above? Include a unit in

your answer.

D$)(3$ pts$)$ Reproduce the following modified cardiac equilibrium plot, shown in

lecture, using MATLAB. You must use linear equations in your code. The Qr$2$

graph reflects a changed venous return behavior from the original Qr graph. Make

sure you include your code as a separate $.$m file to be submitted to Gradescope, as

well as your code as text within your main document $($see $$Homework

Submission Guidelines$$ in the syllabus$).$ In your code, at minimum, make sure

that:

$($i$)$ the Qc$,$ Qr$,$ and Qr$2$ graphs are plotted on the same set of axes,

$($ii$)$ the colors of each graph match as those above, i$.$e$.$ blue for Qc$,$ red for Qr$,$

and green for Qr$2.$

$($iii$)$ you include a title and axes labels with appropriate axes limits and tick

marks,

$($iv$)$ you include a legend