B. Let Plx,y) þe the statement " student x has takenwhere the domainICS and for y consistsog Hese quantifuotionfor x consits ofall computer scenà studentsof* all mathumahes courses. Express eachEnglish sentenes.¥x ¥y P(x.y)Vy Hx P(x,g)¥x 3y P(X.y)

Answered: Image /qna-images/answer/86598509-7e6d-4aef-9cd3-41bc66b22819.jpg

Answered: B. Let Plx,y) be the statement student…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Complete the truth table for the following compound statement. р q T T T F F T F F [(p →q)^~p] (pq) (p q) ^ ~ p [(p → g) ^ ? ? ? ? ? ? O ? ? ~ q P→ Is the compound statement a tautology? ~ q ? ◊ ? ? ? ?
2. Which is the main connective of the following sentence: -(F G)→ H A. - B.. C. → D. () 3. Which is the main connective of the following sentence: {[-(A-B) v C]~D} v E A. - B. → C. V D. →
33. Rewrite each of these statements so that negations ap- pear only within predicates (that is, so that no negation is outside a quantifier or an expression involving logical connectives). x(x, y) a) xy(x, y) c)x(P(x, y) v Q(x, y)) d) (x³y-P(x, y) e)x(yz(x, y, z) z(x, y, z) b) x(x, y))
Which of the following is/are tautology? O a. avb→ b^c O b. a^ b→ bvc O c. avb→ (b→ c) O d. Both (a) & (b) O e. Both (b) & (c)
Let M(x, y) be the statement "x is a role model for y," where the domain for both x and y consists of all people in the world. Use quantifiers to express "Someone is a role model for all people."* O 3xayM(x,y) O vx3yM(x,y) O None of the mentioned O 3XVYM(x,y) O VXVYM(xy)
show that ( A u B) ˄ ( ^B u C) -> ( A v C ) is a tautology
1. Check whether it includes Tautology, Contradiction or Contingency.based on the table in image (Please answer max 60 minutes answer u now, and reject thank u. This is problem about math Logical mathrmatical)
Question 2 Which of the following is a tautology? a. (pvq) →q b. (p^q) →q c. (pv~q) →q d. (p^~q) →q O a Od A Moving to the next question prevents changes to this answer. ^
Match the logical equivalence on the left with its name on the right. i Instructions P^T = P pv T = T pvp = p -(¯)=p pv (p^q) = p |||
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23. Translate in two ways each of these statements into logi- cal expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people. a) Someone in your class can speak Hindi. b) Everyone in your class is friendly. c) There is a person in your class who was not born in California. d) A student in your class has been in a movie. e) No student in your class has taken a course in logic programming.
ALL PLS FOR LIKE IF INCOMPLETE UNLIKE.

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B. Let Plx,y) be the statement student x has taken where the domain all computer screnà students of ICS and for y umšists g Hese quantifustion for x consits of * all mathumahus courses. Express cach English sentences. ¥x¥y P(xy) Vy H x P(x, g) ¥x 3y P(x.y)