Please give me only one solution without AI or chatbot.

Examine the circuit shown. It consists of a series connection of two resistors (R_'| at R_2), an inductor and a capacitor. The circuit is connected to an alternating voltage source Ue(t) = U_O cos (wt), which has an amplitude of U_O = 10 V and whose frequency can be adjusted variably. U_a (t) is the output voltage. Let R_1 = 56 k0 and L = 100 mH. a) Derive an expression for the total complex resistance of this circuit as a function of angular frequency w. [2 points] b) Determine the magnitude and phase of the total complex resistance as a function of angular frequency w. [2 points] c) Derive an expression for the output voltage as a function of the input voltage. [2 points] d) Determine the resonant angular frequency wo of the circuit. [1 point] e) Is the magnitude of the output voltage maximized or minimized at resonance? f) How should C be chosen if one wants to minimize the magnitude of the output voltage at frequency f = 50 Hz? [2 points] Ue(t) Uam