4. The following are the proofing steps of an argument in formal reasoning. Inproofing step 5, what should be Z? *1. Vx[P(x) → Q(x)2. ЗуР(у)3. Р(а)4. Р(а) — Q(а)5. ZPP2, EI1, UI3,4, MPO A. Q(a)В. Р(а)С. заР(a)O D. vaQ(a)

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Answered: 4. The following are the proofing steps…

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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6 5. (a) Decide about the truth values of the statement form up the following truth table. - (pV ~ q) ^ (p V q) by filling T F F T F F (b) Is the statement form given in part (a) logically equivalent to (~ p) ^ q? Support your answer.
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Conditional Statement p --> q (If p, then q) Converse q --> p (If q, then p) Inverse ~p --> ~q (If not p, then not q) Contrapositive ~q --> ~p (If not q, then not p) Select a problem/statement from the ones listed below that hasn't been discussed and answer the following questions: 1. Write the problem as conditional statement (if is not under this form) 2. Write the converse 3. Write the inverse 4. Write the contrapositive statement The statements are: 1. If beauty were a minute, then you would be an hour. 2. If you lead, then I will follow. 3. If it ain't broke, don't fix it. 4. If I had a nickel for each time that happened, I will be rich. 5. if you build it, he will come 6. Where is smoke, there is fire 7. If eagles can fly, then eagles are fish 8. If Honk Kong is in China, then Tokyo is in Japan 9. If 7+5=12, then America has a queen 10. When I am hungry, I eat.
2. Determine whether the given formula is a tautology (T), a contradiction (C), or a synthetic one(S) in predicate logic. ~(Vy3x D(y,x) →3xVy D(y,x)) (D(y,x): y admires x )
7. Negate the following statements: а. (Vx € P) (х +4 0
Which of the following can be turned into a proof of the following argument: -(PAQ), P..¬Q. (i) (ii) (iii) ¬(P A Q) 1 |¬(P^Q) 1 1 2 P P n+1 ¬(PAQ) (ii) (ii) O (i) 2.
Write the negation of the propositions symbolically
16. Complete the truth table for the given statement by filling in the required columns. (e v f) e f e vf ~(e V f) тт T F F T F F Complete the truth table. e vf ~(e v f) (1) (2) (3) (4) T F (5) (6) F T. (7) (8) F (1) O F От (5) O F OT (7) O F От (2) O F (3) O T O F (4) O T O F (6) O T O F (8) O F От
Plz answer the question in 20 mints very urgent plzzzzz all 3 parts plz
2. Write negations of the following conditional statements: - (p→q) = p^~q (a) VneZ,ifn divisible by 2 then n is divisible by 2. (b) VxeR, if x(x+1)> 0 then x >0 or x<-1
Create a proof for the following argument. 1. G> (K= 0) 2. Cɔ -(D v B) 3. ~G Đ C 4. B5C 5. D 6. KVB /0 7. Create a proof for the following argument. 1. ~A VC 2. (~C ɔ ~A) > (B• D) I DvC 3. Create a proof for the following argument, using the implication rules and replacement rules. 1. ADC 2. (B · D) >C 3. (B v A) • (A v D) 4. Create a proof for the following argument, using the implication rules and replacement rules. 1. H5U |H> (Uv T) 2. Create a proof for the following argument, using the implication rules and replacement rules. 1. (A > B) = -(C v~D) 2. ~(A • ~B) | ^(D = C) 3. Create a proof for the following argument, using the implication rules and replacement rules. 1. A-B 2. A-C 3. B V ~C | NA 4.
16. The statement: (e h) = (g h) is logically equivalent to O -[(-e v h) A (e v ~h)] A [(~g v h) A (g v ~h)] O (-e v h) A (e v ~h)] v [(~g v h) A (g v ~h)] O [(-ev h) A (e v ~h)] ^ [[~g v h) ^ (g v ~h)] O [(-ev h) A (ev ~h}] v [(~g v h) A (g v ~h)] O(-evh) A (e v h]] v [(-g vh) A (g v ~h)] O none

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4. The following are the proofing steps of an argument in formal reasoning. In proofing step 5, what should be Z? * 1. Vx[P(x) → Q(x) 2. ЗуР(у) 3. Р(а) 4. Р(а) — Q(а) 5. Z P P 2, EI 1, UI 3,4, MP O A. Q(a) В. Р(а) С. заР(a) O D. vaQ(a)