Construct simulation diagram in dual phase variable form for systems with following transfer functions and develop state space model in matrix form.

(a) \(\mathrm{T}(\mathrm{s})=\frac{\mathrm{Y}(s)}{\mathrm{U}(s)}=\frac{2 s+6}{3 s^{3}+2 s^{2}+8 s+10}\)

(b) \(\mathrm{T}_{11}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{U}_{1}(s)}=\frac{3 s^{2}+2}{s^{3}+3 s^{2}+s+2}\)

\[
\mathrm{T}_{12}(s)=\frac{\mathrm{Y}_{1}(s)}{\mathrm{U}_{2}(s)}=\frac{s-10}{s^{3}+3 s^{2}+s+2}
\]