5. Consider the following impulse response h[n] for a linear, time-invariant discrete-time system: h[n] = {-2,3,2-3,1} (a) Is the system causal? Why or why not? (b) Is the system stable? Why or why not? (c) Is the system FIR or IIR? Give a reason for your answer. (d) Does the system have memory? Give a reason for your answer. Note that the underscore denotes the n = 0 point.

2.5.. plz solve with steps and explain it

3. a) Determine the total solution for n 20 of a discrete-time system characterized by the following difference equation: y[n]+y[n 1]-6y[n-2] =x[n]. for an input x[n] = (-3)"u[n] and with the initial conditions y(-1) = 1 and y(-2) = -1. b) Classify the time invariancy property of the following system with graphical representation: (i) y(n) = nx(n-1), (ii) y(n) = x(2n-1). For graphical representation, let x(n) = {0, 1, 2, 1, 0).

5. The following forward-path transfer functions are given for a single-loop unity-feedback control system. Find the steady-state error for a unit-step input, a unit-ramp, and a parabolic input (r(t)=t). 1000 (a). G(s) = (1+0.1s)(1+10s) 100 (b). G(s) = s(s+ 2)(s+10)