A 31 μF capacitor is connected across a programmed power supply. During the interval from t = 0 to t = 2.00 s the output voltage of the supply is given by V(t) = 6.00 + 4.00t - 2.00t2 volts. At t = 0.700 s find
(a) the charge on the capacitor,
(b) the current into the capacitor, and
(c) the power output from the power supply.