Problem

The input to the LTI continuous-time system in Fig. 1 is defined by the equation(a) Determ...

The input to the LTI continuous-time system in Fig. 1 is defined by the equation

(a) Determine the spectrum of x(t)and plot it on a graph that spans the frequency range -1000п ≤ ω ≤ 1000п
(b) The frequency response of the LTI system is given by the following equation :
Plot this function on the spectrum plot that you constructed in part (a).
(c) Determine the DC value of the output signal; i.e., determine where To is the period of the output signal.
(d) Write an equation for y(t). If possible, simplify it to include only cosine functions