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1. Use truth tables to verify these equivalences. b) pvF=p d) pvT=T 1) PAP P a) PAT=P c) P&F=F e) pvp p

1. Use truth tables to verify these equivalences. b) pvF=p d) pvT=T 1) PAP P a) PAT=P c) P&F=F e) pvp p

Advanced Engineering Mathematics
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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Q1 pls show the truth tables as well
38 1/The Foundations: Logic and Proofs Exercises 1. Use truth tables to verify these equivalences. a) PAT=P b) pvF=p c) PAFF d) pvT=T e) pvp p f) PAP=P 2. Show that (p) and p are logically equivalent. 3. Use truth tables to verify the commutative laws b) p^q=qhp. a) pvq=qvp. 4. Use truth tables to verify the associative laws a) (pvq) vrpv (qvr). b) (p^q) Ar=pA(q^r). 5. Use a truth table to verify the distributive law PA(qVr) = (p^q) v (p^r).. 6. Use a truth table to verify the first De Morgan law 13. Show th a tautol false ex sion is 14. Show a tautor false e sion is 15. Show tautole Examp 16. Show tautole Exam 17. Use tr
Transcribed Image Text:38 1/The Foundations: Logic and Proofs Exercises 1. Use truth tables to verify these equivalences. a) PAT=P b) pvF=p c) PAFF d) pvT=T e) pvp p f) PAP=P 2. Show that (p) and p are logically equivalent. 3. Use truth tables to verify the commutative laws b) p^q=qhp. a) pvq=qvp. 4. Use truth tables to verify the associative laws a) (pvq) vrpv (qvr). b) (p^q) Ar=pA(q^r). 5. Use a truth table to verify the distributive law PA(qVr) = (p^q) v (p^r).. 6. Use a truth table to verify the first De Morgan law 13. Show th a tautol false ex sion is 14. Show a tautor false e sion is 15. Show tautole Examp 16. Show tautole Exam 17. Use tr
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