Let H$($j$)=1/1+$jRC $$the Fourier Transform of the impulse response of an RC circuit

and x$($t$)=1+$cos$120$t $$an input to that circuit.

a$)$Find x$($j$)$the Fourier Transform of x$($t$).$

b$)$Find y$($t$),$the output of the system.

c$)$Find the RC $$product such that the amplitude of the first harmonic of y$($t$)$is $1\%$of

the DC $$value$.$