Solve the following tough questions correctly!

1.Determine the set of values of z where X(z) attains a finite value.

2.Given a finite duration signal which is represented by x(n) = {2,4,5,7,0,1}, determine the z- transform.

3.Determine the value for z where X(z)=0. Explain

4.Solve for limz X(z) given that the value of x(n) is causal.

5.1/(1-a) isn's system's step response. Solve for an LTI system the impulse response.

6.x(n)=(-1)n+1 an/n is the inverse z transform of a log function in the conditions that n1; x(n)=0, n0. Determine the log function and illustrate.

7.An anti-causal LTI system has the function H(z)=1/10.5z1+2/13z1.. Solve for h(n) of the function.

8.Suppose the ROC of a system function contains a unit circle, what can say about the LTI system?

9.For complex numbers, the value of |x+iy| equals 291/2. Determine the two numbers which are conjugates of each other.

10.What is the representation of ii in terms of e?