Determine the complex power, apparent power, average power absorbed$,$ reactive power, and power factor $($including whether it is leading or lagging$)$ for a load circuit whose voltage and current at its input terminals are given by: $($a$)$ $($t$)=110$cos$(60$t $60)$ V$,$ i$($t$)=4$cos$(60$t $25)$ A$.($b$)$ $($t$)=12$cos$(1000$t $+30)$ V$,$ i$($t$)=0\mathrm{.}4$cos$(1000$t $15)$ A$.($c$)$ $($t$)=10$cos$(3000$t $+10)$ V$,$ i$($t$)=0\mathrm{.}5$ sin$(3000$t $5)$ A$.($d$)$ Vrms $=2400$ V$,$ Irms $=0\mathrm{.}850$ A$.($e$)$ Vrms $=620$ V$,$ Irms $=25515$ mA$.($f$)$ Vrms $=1840$ V$,$ Irms $=150$ A$.$