$(10$ points$)$ For cases $(a)$ and $(b)$ shown in the figure, respond to the following questions

and statements concerning the application of the Reynolds Transport Theorem to the

continuity equation.

$($a$)$ What is the value of $b($intensive property$)?$

$($b$)$ Determine the value of $d\frac{B_{sys}}{d}t.$

$($c$)$ Determine the value of ${\displaystyle \underset{cS}{\overset{?}{}}}bV*A.$

$($d$)$ Determine the value of $\frac{d}{d}t{\displaystyle \underset{CV}{\overset{\phantom{}}{}}}bdAA.$

Please show step by step solution