For a sinusoidally driven series RLC circuit, show that over one complete cycle with period T (a) the energy stored in the capacitor does not change; (b) the energy stored in the inductor does not change; (c) the driving emf device supplies energy (1/2T)E m I cosf and (d) the resistor dissipates energy (1/2T)RI2. (e) Show that the quantities found in (c) and (d) are equal.