uestion 1: Consider a CLTI system with the impulse response Mt) = 8qu(t + 2) (3] Determine whether this system has memory. lb) Determine whether this system is causal. {c} Determine whether this system is stable. {cl} Find the system response y(r) to the input 1(1) - 260-1) -45(I - 2) Question 2: Find the step response of h(r) - 3'1 \"IQ-Jr) and verify your result. mm Consider the CLTI system with the impulse response M!) = er sin(2!) u(t) (3) Determine whether the system has memory. (b) Determine whether the system is causal. [c]: Determine whether the system is stable. Question 4: A causal system is described by the ODE: y "(1) + 7y '(t)+10y(r) = x0). (3) Determine the natural response. (b) Determine whether the system is stable. {c} Determine the system's modes