Somebody to please help me in finding the solution to the following hard maths problems.

1.Determine and describe the rule that is used to check for large number N given that it is a prime number.

2.What is symbolized by TRNG?

3.Solve for K in P(x) = k²- 8.

4.Given a distribution that is a discrete probability, determine the sum of all probabilities.

5.A set of numbers z which are very complex and satisfies |z-| forms which shape?

6.On which region does[(3/2)+i/2]⁵+[(3/2)-i/2]⁵ lie on?

7.Given signal e^jwt, determine its fundamental period.

8.Determine the period given the signal as je^jw11t .

9.The following statement is a true statement(A F) (A T). Prove your answer.

10.What is the name given to a proposition that is neither a contradiction nor a tautology?