A single-phase source is applied to a two-terminal, passive circuit with equivalent impedance \(Z=3.0 \angle-45^{\circ} \Omega\), measured from the terminals. The source current is \(i(t)=2 \sqrt{2} \cos (\omega t) \mathrm{kA}\). Determine the

(a) instantaneous power,

(b) real power,

(c) reactive power delivered by the source, and

(d) source power factor.