In the system given in Figure $1$

$($a$)$ Draw the detailed block diagram showing the transfer function of each element, with Ea$($s$)$ as input and X$($s$)$ as output.

$($b$)$ Find the transfer function $\backslash (\backslash$mathrm$\{$X$\}(\backslash$mathrm$\{$s$\})\backslash$mathrm$\{$Es$\}\backslash ).$ Ea$($s$)$

$($c$)$ Model the system in state space by finding the $\backslash ($ A$,$ B$,$ C$,$ D $\backslash )$ matrices.