Who has an answer for these??

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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Who has an answer for these??

Expert Solution
Step 1

Question 1 :

If  p and q are true and r is false.

That is,  p =T , q = T and r = F

Then ( q  r ) p  = ( T  F )  T= F  T=  T .

Answer is True.

 

Step 2

Question 2 :

 

( ¬p )  ( ¬ q )  ¬  ( p  ( ¬q )) ( ¬T )  ( ¬ T )  ¬  ( T  ( ¬T )) F  F  ¬  ( T F ) F   ¬ TF  F 

Therefore, the given statement is True.

Answer : True.

 

Step 3

Question 3 :

 ¬ ( p  ( ¬p ) ) = ¬ ( T  ( ¬ T ) ) =¬ ( T  F )= ¬ F= T 

Answer : True.

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