a$)$ Find the current through RL$,$ in the circuit given below using Norton's theorem and also find

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power dissipated in $R_L.$

b$)$ Check whether the followir. $q,$

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i$)P(s)=S^4+6S^3+10S^2+18S+36$

ii$)P(s)=S^6+2S^5+5S^4+8S^3+8S^2+8S+1$

c$)$ Draw the graph of the network whose incidence matrix is given below.

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$\left[\begin{array}{cccccccc}1& 0& 1& 0& 0& 0& 0& -1\\ 0& -1& 0& -1& 0& -1& 0& 0\\ 0& 1& 0& 0& 1& 0& 0& 1\\ 0& 0& -1& 0& -1& 0& 1& 0\end{array}\right]$