Solve the following tough questions!

1.Give an example of a false statement concerning sets and explain your answer.

2.Describe a true correspondent statement in regard to n(A X B) = n(B X A) = 36

3.Given the z- domain, the inverse Z- transform of the transfer function equals the impulse response of a discrete time system. True or false?

4.Why is a tachometer added to servomechanism?

5.Solve using inverse method the inverse{1,3/2,7/4,15/8,31/16,....} and give a condition necessary for the reverse to be efficient.

6.x(n)=(-1)n+1an/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.Without conducting a replacement, determine the value of standard error denoted by X in a distribution where the standard deviation of the whole population of 100 items is 25.

8.Determine in a chi- square, the mean of distribution where 6 represents the degrees of freedom.

9.Determine the number of primitive roots that are present in the no. 19.

10. Solve for the inverse of 37 given that mod is 49.