A 2-M resistor is connected in series with a 1.5-F capacitor and a 6.0-V battery of negligible

A 2-MΩ resistor is connected in series with a 1.5-μF capacitor and a 6.0-V battery of negligible internal resistance. The capacitor is initially uncharged. After a time t = t = RC, find

(a) The charge on the capacitor,

(b) The rate at which the charge is increasing,

(c) The current,

(d) The power supplied by the battery,

(e) The power dissipated in the resistor, and

(f) The rate at which the energy stored in the capacitor is increasing.