pts$)$ a$)$ Find the s$-$type transfer function of the circuit shown. $I_{in}$ is the input and $V_{\text{o}\text{u}\text{t}}$ is the "output".

You MUST show work to get credit. Simplify your expression for $H(s)$ so that it is a ratio of simple polynomials.

a$)H(s)=?$

b$)$ Does the transfer function have any poles? If yes, express them in terms of the circuit parts.