In a series oscillating RLC circuit, R = 16.1 , C = 31.7 F, L = 9.26 mH, and E = E_msin_dt with E_m = 44.7 V and _d = 3070 rad/s. For time t = 0.431 ms find (a) the rate P_g at which energy is being supplied by the generator, (b) the rate P_C at which the energy in the capacitor is changing, (c) the rate P_L at which the energy in the inductor is changing, and (d) the rate P_R at which energy is being dissipated in the resistor.