$($a$)$ Determine $G(s)$ and $H(s)$ of the block diagram shown in Figure $(2)$ that are equivalent to those of the block diagram of Figure $(1).$

$($b$)$ Determine closed$-$loop transfer function for Figure $(1).$

$($c$)$ A system with disturbance is shown in Figure $(3).$ Find the transfer function $Y\frac{s}{T_d}(s)$ for the system.