3. A continuous time (CT) linear time invariant (LTI) system has frequency response H(jw)= 0, w <1.5 1, 1.5 w≤3.5. 0, 3.5<w (i) (5 pts) Find the output of the system when the input signal is 2 cos(t)-sin(2t) +3 cos(5t). = (ii) (6 pts) Find the output when the input signal has fundamental period T 2π and con- tinuous time Fourier series coefficients ak = (-1)*/k². (iii) (6 pts) Find the output when the input is 6(t - 1). (iv) (3 pts) Is the CT LTI system described by H(jw) causal?