$4,13\mathrm{.}24$

Guidance: break this problem into the following sub$-$problems:

$4\mathrm{.}1$

Obtain $I(s)$ as a factored and normalized rational polynomial function $($keep $R,L,C$ as symbols$)$

$4\mathrm{.}2$

Use python, matlab, or calculator to find the numerical values of all poles $($roots of denominator$)$ of $I(s).$ Also find zeros $($roots of numerator$)$ if any. Find numerical values of ${}_n$ and $$ for the $2$ nd order term.

$4\mathrm{.}3$

Plot the poles in the complex plane

$4\mathrm{.}4$

Perform the partial fraction expansion of $I(s).($Hint: there should be or $($:$A_1,A_1^{**},A_2,A_2^{**}$