need help on discrete structures

1. In the videos and in class, we showed that True-False. Complete the truth table for not by showing that-False = True. 2. Derive the truth table for A. Hint: Use duality. 3. Complete the truth table for . We did False False = True in the videos, so you need to do the other three possibilities 4. Use the axioms of Boolean equations to derive {^ DeMorgan):-ox y) (-z) V (-y). 5. Use the axioms of Boolean equations to derive { distributive): z (y V z)-(x y) V (z z). 6. Use the axioms of Boolean equations and the rule(, absorption) to derive {V absorption): (z y) V y = y. Note: When deriving formulae, you may use any of the axioms of Boolean algebra, rules we derived in class (e.g the truth table), and rules previously derived in the homework. E.g., you may use { DeMorgan) to prove(^ distributive) and so on