A signal is given by $x(t)=3cos(\frac{}{2}+\frac{}{4}).$ Please determine the Fourier coefficients of this signal

signal

Please determine the real part of $x()$ if $x()=\frac{1}{1-0\mathrm{.}5e^{-j}}$

Find $x(n)$ if $x()=()$

Find $x()$ if $x(n)=8(6-2n)+8(6+2n)$

A continous system is given by $y^{\text{'}\text{'}}(t)+3y^{\text{'}}(t)+2y(t)=2x^{\text{'}}(t)+x(t).$ Please

find frequency response $H(w)$ of this system

$6,$ Please find frequency response $H()$ of this system whose impulse response is

$h(t)=e^{\text{'}}[u(t)-u(t-2)]$

A casual LTI system is given by $4y(n)+4y(n-1)+y(n-2)=x(n)-2x(n-1).$

Please find frequency response $H()$ of this system.