Question 2 (a) Prove that n3 + 2n is divisible by 3 for eachn E N. Let x = sin 1 (in radians) and let y = /2. Prove that the following statement is false: (b) (x + y € Q) ^ (x – y e Q).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 2
(а)
Prove that n3 + 2n is divisible by 3 for each n E N.
Let x = sin 1 (in radians) and let y = /2. Prove that the following statement is false:
(Б)
(x + y E Q) ^ (x – y € Q).
Transcribed Image Text:Question 2 (а) Prove that n3 + 2n is divisible by 3 for each n E N. Let x = sin 1 (in radians) and let y = /2. Prove that the following statement is false: (Б) (x + y E Q) ^ (x – y € Q).
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