Consider the following circuit. i$.$ Determine the transfer function of this circuit, H$($f$).($ H$($f$)=$Vout$($f$)/$Vin$($f$),$ not H$()!!).$ ii$.$ What kind of a filter is this circuit? Explain your reasoning. iii. Assuming R $=62\mathrm{.}85$ and L $=0\mathrm{.}1$ H$,$ calculate the break frequency of this circuit. $($Hint: Break frequency is where the magnitude of the transfer function is $1/2$ and the angle of the transfer function is $-45.)$ iv$.$ Assuming R $=62\mathrm{.}85$ and L $=0\mathrm{.}1$ H$,$ find Vout$($t$)$ for Vin$($t$)=10$cos$(200$t$+30)$ using phasors.