Define with normS (n) (22) | I(M) WK.P() ⑥HK (~) H' (~~) and H) 2² (^_^)

Find the midpoint of AB if A(-3, 8) and B(-7, -6) O (-5, 1) O (1, -5) O (2, 7) 0 (-;, }) P Type here to search

Let E(x₁, x₂, x3) = (x₁x₂)(₁^x3) be a boolean expression over the two valued boolean algebra. Write E(x₁, x2, x3) in both distinctive and conjunctive normal forms.

Evaluate W(1 + x, x, x^2)

Give examples of sentences in natural language (English), about everyday topics, which have the forms: (a) (PVQ) ⇒R', (b) P⇒ (Q^S'). In each case, (i) first state the sentence in natural language, (ii) and then define all sentences involved (e.g. P, Q, R, S).

22) The function ƒ (x) = 2e* has a domain of A) (-∞,0) B) (0, 00) (c) (-∞, 00) and a range of A) (-∞0,0) B) (0, 00) (c) (-∞, 00)

Expand f(z) = Z (z-1)(3-z) -; Iz-11>2.

C) If an expression is given that A+A'B'C=A+B'C, find the minimal expression of the function F = A+A'B'C+BC? B'+C O A+C AC +B' OA'+B D) F = (A+BC')(AB'+C) O A+B+C' OAC'+ B A(B'+ C) B+ AC

Use moment generating functions to show that if X3 = X1 + X2, with X1 X3 - X V3 > vı, and X1 and X2 are independent, then X2~ X-,

Let à = ст -5' -4 Find ||a, the norm of a.