Problem $5$: UMF P$7.39($modified$)$ For the circuit in UMF P$7.39$: $v_s(t)=12cos({10}^{4}t)V$

a$)$ Using phasor domain nodal analysis, find the phasor I of $i(t).$

b$)$ Determine i$($t$)$

c$)$ Find the complex impedance $Z$ seen by the voltage source.