$($a$)$ Convert the following continuous transfer function

$G(s)=\frac{4}{(2s+1)(3s+1)}$

to the discrete $G(z^{-1})$ using the bilinear transform with a sample time of $T=1.$

$($b$)$ Check your answer with c$2$d$.$ Do you get exactly the same transfer function?

Hint: You may need to specify an optional argument in the c$2$d command.

$($c$)$ Plot the response to a step function for the $($i$)$ original continuous $G(s),($ii$)G(z^{-1})$

obtained via a zeroth$-$order hold, and $($iii$)G(z^{-1})$ obtained via a first order hold.