For the circuit below, given that R $=10$ KW and C $=1$F$,$ and starting with Vout $=0$ at

t $=0,$

A$.$ If Vin $=1$ V for t $>0,$ what is the current I $?$

B$.$ If Vin $=1$ V for t $>0,$ what will Vout equal when t $=10$ ms$?$

C$.$ If Vin $=2$ cos $20,$ what will Vout equal $($as a function of t$)?$

D$.$ What is the input impedance of the circuit as a whole?

E$.$ What is the output impedance of the circuit as a whole?