A $2\mathrm{.}00-$nF capacitor with an initial charge of $4\mathrm{.}22$C is discharged through a $2\mathrm{.}24-$k$$ resistor.

$($a$)$ Calculate the current in the resistor $9\mathrm{.}00$s after the resistor is connected across the terminals of the capacitor. $($Let the positive direction of the current be define such that

dQdt

$>0.)$

$\mathrm{.}126$

The current through the resistor is considered to be negative, so that

I $=$ dQ$/$dt$.$

mA

$($b$)$ What charge remains on the capacitor after $8\mathrm{.}00$s$?$

$0\mathrm{.}7076$C

$($c$)$ What is the $($magnitude of the$)$ maximum current in the resistor?