For each of the following 5 statements, check the corresponding box on the answer sheet if and only if the statement is true. (a) If f (n) €0(n2) and g(n) =0(n2), then n xf (n) + g(n) =0(n3). (b) If f (n) €0(n2) and g(n) =0(n2), then f (n) + n xg(n) =0(n3). (c) If f (n) €0(n), then n xf (n) + 1000 €0(n). (d) If f (n) €0(n), then n xf (n) + 1000 €0(n2). (e) n! €0(2n).|
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- (1) Complete the truth table and determine whether or not ∼(p∨q)≡∼p∧∼q p q p∨q ∼(p∨q) ∼p ∼q ∼p∧∼q T T T F F T F F (2) Are the two statement equivalent? A. Yes, the columns are identical. B. No, the rows are not identical. C. No, the columns are not identical. D. Yes, the rows are identical.i need answer of all. if any answer will be skipped, your answer will be rejected. only complete answer will be accepted. b) Make a truth table for the statement ¬P ∧ (Q → P). What can youconclude about P and Q if you know the statement is true? a) Make a truth table for the statement (P ∨ Q) → (P ∧ Q). c) Make a truth table for the statement ¬P → (Q ∧ R).Exercise 12: Use the truth table test of validity to determine whether or not the following arguments are valid or invalid. 5. 1. R ⋅ (T v S) 2. T 3. ∴ ~S 6. 1. A v B 2. ∴ A ⋅ B 7. 1. ~(A ⋅ B) 2. ∴ ~A v ~B 8. 1. ~(A v B) 2. ∴ ~A v ~B 9. 1. (R v S) ⋅ ~D 2. ~R 3. ∴ S ⋅ ~D
- What is suppose to be the correct answer? Is it all the options?What is the boolean expression for the if statement in the following program segment so that the program segment will cause the printing of the factors of 100? a. number % candidateFactor = 0 b. candidateFactor / number == 0 c. candidateFactor % number == 0 d. candidateFactor / number = 0 e. candidateFactor % number = 0 f. number / candidateFactor == 0 g. number % candidateFactor == 0 h. number / candidateFactor = 0In case the value of D5 is 59 than the logical test result of IF(D5>69,"C",IF(D5>59,"D","F")) will be Select one: a.None of these b.D c.C d.F
- Determine the truth value of each compound statement when p is false, q is false, and r is true. You must show how you arrived at your answer for each question. (∼p→r)↔(p∨∼q)(∼p→r)↔(p∨∼q) ∼[p→(q∧r)]∼[p→(q∧r)] ∼[(∼p→r)↔(p∨∼q)]∼[(∼p→r)↔(p∨∼q)] (∼p↔r)∧(∼q↔r)(∼p↔r)∧(∼q↔r) (q∧∼p)↔∼r¬∀x∀y∃z P(x, y, z) has the same truth value as ___. Group of answer choices ¬∃x∃y∀z P(x, y, z) ∀x∀y∃z ¬P(x, y, z) ∃x∃y∀z P(x, y, z) ∃x¬∀y∃z P(x, y, z) ¬∀x∀y A(x, y) has the same truth value as ___. ∀x¬∃y A(x, y) ∃x¬∀y A(x, y) ∀x∀y ¬A(x, y) ∀x∃y ¬A(x, y) ¬∃x∀y∃z (x – y < z) has the same truth value as ___. ∀x∃y∀z (x – y ≥ z) ∀x∃y∃z (x – y ≥ z) ∃x∀y∃z (x – y < z) ∀x∃y∀z (x – y > z)replace each phrase containing “Until” with an equivalent phrasecontaining “While”, and vice versa. For instance, the phrase (Until sum=100) would bereplaced by (While sum<>100).11. Until num < 712. Until name = "Bob"13. While response = "Y"14. While total = 1015. While name <> ""16. Until balance >= 10017. While (a > 1) And (a < 3)18. Until (ans = "") Or (n = 0)19. Until Not(n = 0)20. While (ans = "Y") And (n < 7)
- Answer this question: Write it with pencil and show how you solved it Write the truth table for the following statement forms a. P Λ ( ~ q V r) b. (P Λ ~ q) Λ (q V ~r)Kevin plans to use a Boolean operator since he wants to learn about two separate things. In order to receive accurate search results, Kevin must choose the proper Boolean operator.Let p, q, and r be the propositions p: You started a new video game this week. q: You finished all its quests.r: You didn’t win the platinum trophy.Express each of these propositions as an English sentence.¬p → ¬q(p ∧ q) → (¬r)((¬p) → (¬q)) ∨ (q → (¬r))(p ∧ q) ∨ (¬q ∧ r)