A source vS$=10$ V is fed to a voltage divider implemented with RA$=120$ k and RB$=30$ k$,$ and the voltage across RB is fed, in turn, to a gain$-$of$-$five noninverting amplifier having R$1=30$ k and R$2=120$ k$.$

$($a$)$Sketch the circuit, and predict the amplifier output voltage vO$.$

$($b$)$ Repeat $($a$)$ for a gain$-$of$-$five inverting amplifier havingR$1=30$ k and R$2=150$ k$.$ Compare and comment on the differences.