(Solved): Consider a LTI system with frequency response \[ H(\omega)=\left\{\begin{array}{ll} 1 & |\omega| \ ...

Consider a LTI system with frequency response \[ H(\omega)=\left\{\begin{array}{ll} 1 & |\omega| \geq 5 \\ 0 & \text { otherwise. } \end{array}\right. \] ing frequency-domain methods, find the output \( \mathrm{y} \) of the system if the input \( \mathrm{x} \) is given by \[ x(t)=1+2 \cos (2 t)+2 \cos (4 t)+\frac{1}{2} \cos (6 t) \]