a $21$ microFarad capacitor is connected across a programmed power supply. during the interval from t$=0$ to t$=2\mathrm{.}00$s the output voltage of the supply is given by V$($t$)=6\mathrm{.}00+4\mathrm{.}00$t $-2\mathrm{.}00$t$^2$ volts. at t$=0\mathrm{.}300$s$,$ find $($a$)$ the charge on the capacitor, $($b$)$ the current into the capacitor, and $($c$)$ the power output from the power supply