Guys, I do honestly need help. Solve this questions real quick.

1. Which law is satisfied by the following symbol, V.

2. What is the major place where Eigen values are used?

3. Given state equations dx/dt=-2x+2u and y(t) = 0.5x, determine the transfer function Y(s)/U(s) of the system.

4. Give an example of a density function that is a standard probability that is applicable to discrete random variables.

5. Determine the last two blocks of the XTS-AES mode.

6. Determine the properties of p and q which are two random large values which are selected from the RSA algorithm.

7. Determine the parts of an Extension.

8. Determine whether there may be a possible DFA for the language given L= {x= {0,1} |x=0n1n for n>=1}.

9. Determine where the real roots of ax2 - x + a = 0 arex1, x2, the set of all the values of parameter 'a' where|x1 - x1| < 1.

10. Determine the probability P (0.5 < x < 5) where the probability distribution function in random variables x is f (x)=0.2 for |x|<1

= 0.1 for 1 < |x| < 4 = 0 otherwise.