(a) Suppose p, q and r mean “Kelly is at home, Hannah is at home and Sunny is at home then interpret the meaning of the statement p ∧∼q and (p ∧ q) ∧ r   (b) You should pay the fares for tickets only if you plan to visit northern Pakistan in this winter. (Convert the sentence in symbolic notation)   (c) If the lift in our office install then one can use the lift (write a converse of the statement in symbolic notation as well as a statement)   (d) If we do not make a plan to plant marigold flowers then it is not suitable season for them. (Write the contrapositive statement in symbolic as well as a statement)   (e) If it is right angled triangle then Pythagoras rule applies. (Convert the statements in biconditional statement in symbolic as well as a statement)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q.1 Answer the following Questions. (Use p for the first, q for the second statement and likewise r for the third, so on.)

 

(a) Suppose p, q and r mean “Kelly is at home, Hannah is at home and Sunny is at home then interpret the meaning of the statement p ∧∼q and (p ∧ q) ∧ r

 

(b) You should pay the fares for tickets only if you plan to visit northern Pakistan in this winter. (Convert the sentence in symbolic notation)

 

(c) If the lift in our office install then one can use the lift (write a converse of the statement in symbolic notation as well as a statement)

 

(d) If we do not make a plan to plant marigold flowers then it is not suitable season for them. (Write the contrapositive statement in symbolic as well as a statement)

 

(e) If it is right angled triangle then Pythagoras rule applies. (Convert the statements in biconditional statement in symbolic as well as a statement)

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