Both vs and is are AC sources with w $=400$ rad$/$s$.$ Someone did two measurements on the circuit and found: V$($t$)=$ A$1$ cos$(400$t $+$ B$)$ is$($t$)=2$ cos $(400$t$+($this is v$,$ not vs $!)($a$)$ Find the average power P$$ received by the resistor $($b$)$ Find the average power P$$ supplied by current source is $($c$)$ Find the average power P$3$ received by the inductor Vs $(+5$ mH $+2$ Vis Given Variables: A$1$:$4$ V B$1$: $150$ degrees Calculate the following: P$1($W$)$: