Both Vs and is are AC sources with w $=400$ rad$/$s$.$ Someone did two measurements on the circuit and found: v$1($t$)=$ A$,$ cos$(400$t $+$B$)($this is vy$,$ not vs$)$ is$($t$)=2$ cos $(400$t $+)($a$)$ Find the average power P supplied by current source is $($b$)$ Find the average power P$2$ received by the resistor $($c$)$ Find the average power P$3$ received by the inductor Note: Try to find the answers by reasoning in the time domain. $5$ mH $223$v$1)$ is Given Variables A$1$: $6$V B$1$: $90$

degrees Determine the following P$1($W$)$ P$2($W$)$: P$3($W$)$: