Please answer these questions.

1. Determine the inverse z-transform by inspection: -1 1 X(z) = |z| < 3 - z-1 3 2. Determine the inverse z-transform by contour integration (assume that x(n) is a causal signal): 1 X(z) 1 %3D 0.25z- 3. Determine the inverse z-transform (at least, the first four terms) by power series expansion: 1 X(z) = (1-3-) (1-) when (a) I (b) | < 4. Given 1 1 X(z) 1- 0.5z-1 + 1- 0.4z-1 Find x(n) by partial-fraction expansion for the three ROCS given below: (a) Iz| > 0.5 (b) Iz| < 0.4 (c) 0.4 < |z| < 0.5