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A) Given Transfer function isT / F=\frac{C(s)}{R(s)}=\frac{s^{3}+12 s^{2}-12 s+12}{s^{7}+5 s^{6}+9 s^{5}+9 s^{4}+4 s^{3}+20 s^{2}+36 s+36}characteristic equation iss^{7}+5 s^{6}+9 s^{5}+9 s^{4}+4 s^{3}+20 s^{2}+36 s+36=0Boy using routh-Hurwitz criteria, we are finding the stability of the system.\frac{5(9)-9(1)}{5}\frac{45-9}{5}\frac{5(4)-20(1)}{5}\frac{5(36)-1(36)}{5}\frac{9(0)-7 \cdot(2)}{9}s^{3} row is zero.Auxilary Equation (A \cdot E)=9 S^{4}+0 S^{2}+36=9 S^{4}+36\frac{36(0)-9(0)}{36} \frac{36(36)-90}{36}In s^{2} row, first Element is zero. Replace zero by \varepsilon\varepsilon \rightarrow 0, There are two sign changes in the first column. so there are two poles in the right half of s-plane. The system is unstable.(H) \rightarrow D, E and F is correct, ...