Simplify (m^(wv-m)) to -mv-w 1. Select a law from the right to apply -(m^(wv-m)) Distributive (a^b)v(a^c) (avb)^(avc) Commutative avb a^b De Morgan's Conditional (a^b) - (avb) a-b m a b = W W Laws a^(bvc) av(b^c) bva ba -av-b -а^-b ¬avb (a+b)^(b-a) Complement av a - T а па = F =-F -T -F Identity = T a^T - а avF - а Double negation - а а
Simplify (m^(wv-m)) to -mv-w 1. Select a law from the right to apply -(m^(wv-m)) Distributive (a^b)v(a^c) (avb)^(avc) Commutative avb a^b De Morgan's Conditional (a^b) - (avb) a-b m a b = W W Laws a^(bvc) av(b^c) bva ba -av-b -а^-b ¬avb (a+b)^(b-a) Complement av a - T а па = F =-F -T -F Identity = T a^T - а avF - а Double negation - а а
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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Simplify -(m^(wv-m)) to -mv-w
1. Select a law from the right to apply
-(m^(wv-m))
Distributive
(a^b)v(a^c) =
(avb)^(avc)
Commutative
avb
axb
De Morgan's
-(a^b)
(avb)
Conditional
a-b
a+b
=
=
-
E
=
=
Laws
a^(bvc)
av(b^c)
bva
ba
-av-b
-а^-b
¬avb
(a+b)^(b-a)
Complement
аv¬а = T
а па =F
= F
= T
¬T
-F
Identity
a^T
=a
avF
Double negation
ла = a
a
D-D-
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