Below are hard questions.. Make sure you get all of them right!

1.Give an assumption applied in the derivation of a transfer function of a linear element.

2.What is the physicality meaning if initial condition for a system are inherently zero.

3.Is it true that subsets can either be odd or even numbers? Explain.

4.What will be the overall number of subsets that contains two elements in set A={1, 2, 3}?

5.When does a system become BIBO stable and causal?

6.The LTI of a causal system has function H(z)=1/10.5z1+2/13z1. Determine the ROC of H(z).

7.Justify by stating whether the statement variance equals to [(v₁+ v₂- 2)] / [v₁* (v₂- 2)²* (v₂- 4)] for v₂> 4 in the case of f- distribution is true or false.

8.Describe by giving an example a distribution that is continuous.

9.For Euler's theorem, provide the condition necessary for it to be relevant.

10. Determine whether the following statement satisfies the Euler's theorem. f(x, y) = x³+ xy²+ 901