Problem 4. (20 pts.) The frequency response of a continuous time LTI system is given by the following magnitude and phase profile: *Hw) | Hiws/ ™/2 -600 + Goon -600 -"/₂

What is the steady state time domain output y(t) for input x(t) = cos (1000πt) + 2 cos (50) πt) + 3 cos (500mt) GOUT X(+) het) Hiw)