Problem #$2(20$ points$)$ Series RLC AC Circuits

Given the following circuit:

a$.$ Eind the overall impedance of the given circuit.

b$.$ Draw a phasor diagram of all individual impedances, and total impedance.

c$.$ Determine the voltage and current through all circuit elements.

d$.$ If we removed $C_1,$ what would the resonant frequency of this circuit be$?$ If we instead removed $C_2,$ what would the resonant frequency of the circuit be$?$