QUESTION 5: 20 marks (a) Find the z - transform and ROC of the anticausal sequence: x(n) = { -2, -4, -1, 0, 1 } (3 marks) (b) Find the system function and the impulse response of the system described by the difference equation : y(n) = x(n) + 2 x (n-1) 4 x (n-2) + x (n-3) (6 marks) (c) Find the inverse z- transform of : (i) X(z) = ( z + 0.2) / ( z + 0.5) ( z- 1) (7 marks) (ii) X(z) = z / ( z - 3) ( z – 4) (7 marks)

          QUESTION 5: 20 marks
(a) Find the z - transform and ROC of the anticausal sequence:
x(n) = { -2, -4, -1, 0, 1 }
(3 marks)
(b) Find the system function and the impulse response of the system described by the
difference equation :
y(n) = x(n) + 2 x (n-1) 4 x (n-2) + x (n-3)
(6 marks)
(c) Find the inverse z- transform of :
(i) X(z) = ( z + 0.2) / ( z + 0.5) ( z- 1)
(7 marks)
(ii) X(z) = z / ( z - 3) ( z – 4)
(7 marks)