A 3.00 MN resistor and a 1.00 µF capacitor are connected in series with an ideal battery of emf E = 4.00 V. At 1.00s after the connection is made,

what is the rate at which (a) the charge of the capacitor is increasing, (b) energy is being stored in the capacitor, and (c) thermal energy is appearing in the resistor? Said differently, find the (a) current, (b) power going into the capacitor, and (c) the thermal power of the resistor.