Consider the circuit below, where the input is the current source and the output is the capacitor$$s voltage, vc$($t$).$ Assume the switch has been closed for a long time and it opens at time t$=0+$ vR $+4$ vC $1$F ic $10$A t$=088($a$)$ Determine the transfer function $$ H$($s$)$ for t$>0.2024$ Juan Alvarez. University of Illinois. All rights reserved $2($b$)$ Determine the zero$-$state response Yzs$($s$)$ and yzs$($t$)$ for t$>0.($c$)$ Determine the zero$-$input response YZI $($s$)$ and yZI $($t$)$ for t$>0.($d$)$ Determine which one$($s$)$ of the following stability properties are satisfied by this system: BIBO, marginal and$/$or asymptotical.