A $2\mathrm{.}00$ nF capacitor with an initial charge of $5\mathrm{.}25$C is discharged through a $2\mathrm{.}11$ 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 where $>0.)($b$)$ What charge remains on the capacitor after $9\mathrm{.}00$s$?[($c$)$ What is the $($magnitude of the$)$ maximum current in the resistor?