Help please 505576.3387870.qx3zqy7Jump to level 1Simplify (m^(wv-m)) to -mv-w1. Select a law from the right to apply-(m^(wv-m))Distributive(a^b)v(a^c)(avb)^(avc) =CommutativeavbaxbDe Morgan's(a^b)(avb)Conditionala ba+bE■==EELawsa^(bvc)av(b^c)bvaba-av-b-а^-b¬avb(a+b)^(b→a)Complementаv¬аа па¬T-FIdentitya^T= T= F= F= T=aavFDouble negationлла =a=aD-D2

Answered: Simplify (m^(wv-m)) to -mv-w 1. Select…

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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505576.3387870.qx3zqy7
Jump to level 1
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
■
=
=
E
E
Laws
a^(bvc)
av(b^c)
bva
ba
-av-b
-а^-b
¬avb
(a+b)^(b→a)
Complement
аv¬а
а па
¬T
-F
Identity
a^T
= T
= F
= F
= T
=a
avF
Double negation
лла =a
=a
D-D
2

Expert Solution

Step 1: Proof of statement

$not open parentheses m logical and open parentheses w logical or not m close parentheses close parentheses space identical to space open parentheses not m close parentheses space logical or space open parentheses not open parentheses w logical or not m close parentheses close parentheses$ ( Applied distributive law: $not open parentheses a logical and b close parentheses space identical to space open parentheses not a close parentheses space logical or space open parentheses not b close parentheses$ )

$identical to space open parentheses not m close parentheses space logical or space open parentheses open parentheses not w close parentheses space logical and open parentheses not open parentheses not m close parentheses close parentheses close parentheses$ ( Applied distributive law: $Error converting from MathML to accessible text.$ )

$identical to space open parentheses not m close parentheses space logical or space open parentheses open parentheses not w close parentheses space logical and open parentheses m close parentheses close parentheses$ ( $not open parentheses not a close parentheses space identical to space a$ )

$identical to space space open parentheses open parentheses not m close parentheses space logical or space open parentheses not w close parentheses close parentheses space logical and space open parentheses open parentheses not m close parentheses space logical or space m close parentheses$ ( Associate law: $a space logical or space open parentheses b space logical and space c close parentheses space identical to space space open parentheses space a space logical or space b space close parentheses space logical and space open parentheses space a logical or space c space close parentheses$ )

$identical to space space open parentheses not m close parentheses space logical or space open parentheses not w close parentheses$ ( $a space logical and space T space space identical to space space a$ )

therefore $not open parentheses m logical and open parentheses w logical or not m close parentheses close parentheses space identical to space not m space logical or space not w$