Consider the given flow pulse. The Average flow is $\backslash (\backslash$mathrm$\{$Q$\}\_\{\backslash$mathrm$\{$avg$\}\}\backslash )$ and the flow at systole is $\backslash (\backslash$mathrm$\{$Q$\}\_\{\backslash$max $\}\backslash ).$ It is assumed that the pressure at the start and end of systole are $80$ mmHg and $100$ mmHg respectively. Cardiac time and systolic times were measured to be $0\mathrm{.}8$ sec and $0\mathrm{.}36$ sec $.$ Assume a heart rate of $75$ bpm and an average flow rate of $80\backslash (\backslash$mathrm$\{$ml$\}/\backslash$mathrm$\{$min$\}\backslash )$ during the cycle.

Find the expression for a$)$ Systolic,

b$)$ Diastolic pressure,

c$)$ Highest flow rate during the cycle, Qmax,

d$)$ Resistance,

e$)$ Compliance with the system,

f$)$ Cardiac output, and

g$)$ Plot the pressure $\backslash (($P$($t$))\backslash )$ and flow $\backslash (($Q$($t$))\backslash )$ in one graph.