I promise good rating if you help with these tough questions. Make sure to provide correct answers and perfect illustrations.

1.How can you describe the relationship between [x(n)X(z)] andx(n)+y(n) X(z)+Y(z)? Explain

2.Given the signal (--1) ^n-1. aⁿ/n. u(n-1), determine the z- transform.

3.Given that Z{x₁(n)*x₂(n)}= X₁(z).X₂(z). Solve for Z{x₁(n)} and Z{x₂(n)}.

4.Solve forlimzX(z) given that the value of x(n) is causal.

5.Solve and illustrate your finding in the signal x(n)=(n-n₀).

6.How can you illustrate the following sequence 1/2[X(z)+X*(z*)]. Give an assumption.

7.Determine the value for z whereX(z)=0. Explain

8.Give an assumption that will determine|N-M| zeros at origin(if N>M) to be true.

9.Determine an example of a signal with a plot of pole- zero where M is given as 8.

10. Give a characteristic in signal x(n)=aⁿu(n).