Which of the following is a DNF representation of the function:f(P,Q, R) = true iff either Q is true or R is false(P ^Q A R) V (¬P ^Q^ ¬R)-Q v R(Q ^ R) V (Q ^ ¬R) V (¬Q ^ ¬R)(Q v R) ^ (Q V ¬R) ^ (¬Q v ¬R) Consider the following equivalence proof for proving:А — ВлС%3 (А — В)л (А — С)The proof has a mistake in it. Which line contains the error?1. А — ВЛС= ¬A V (B A C)= (¬A A B) V (¬A ^ C)= (A → B) A (A → C)2.3.4.124

Since you have posted a multiple question according to guildlines I will solve first question for…

Answered: Consider the following equivalence…

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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Consider the following equivalence proof for proving: А — ВлС%3 (А — В) л (А — С) The proof has a mistake in it. Which line contains the error? 1. А — ВЛС = ¬A V (B A C) = (¬A A B) V (¬A ^ C) 2. 3. 4. — (А — В) л (А — С) 1 2 4