Answer the questions below, $($Insert the numerical value only, do not use or $\frac{?}{?})$

The Relative error for your answer should be less than $0\mathrm{.}01,$ which means if the answer was $50,$ then the

error should not exceed ${50}^{**}0\mathrm{.}01=+-0\mathrm{.}5!$

if the answer was $230,$ then the error should not exceed ${230}^{**}0\mathrm{.}01=+-2\mathrm{.}3!$

if the answer was ${2\mathrm{.}31467}^{**}{10}^{{?}^{{?}^{?}}}-3,$ then you should enter this value: $0\mathrm{.}00231467,$ not this $0\mathrm{.}0023!!!!$

If $G1(S)=G2(S)=G3(S)=S,H1(S)=0,H2(S)=-13,H3(s)=-8.$

Find the transfer function for the following system shown using Mason's Rule. Follow this Form:

$\frac{C(S)}{R(S)}=\frac{(K1)S^3+(K2)S^2+(K3)S+(K4)}{(K5)S^3+(K6)S^2+(K7)S+(K8)}$

where $K1,K2,K3,K4,K5,K6,K7$ and $K8$ are constants, note that the value of $K1$ is given in order to have a

unique solution, so$,$ the value of $K1$ is $1.$ the other constants will be as follow:

the value of $K2$ is:

the value of $K3$ is:

the value of $K4$ is:

the value of $K5$ is:

the value of $K6$ is:

the value of $K7$ is:

the value of $K8$ is: