Please answer True or False for the following Statements... 1. For every odd integer n, the integer 11(n^2) - 7 is divisible by 4 2. There exists irrational number a and b such that a^b is rational. 3. For all integers n, if n^3 -n +1 is even then N^3 -n + 3 is even

Please answer True or False for the following Statements... 1. For every odd integer n, the integer 11(n^2) - 7 is divisible by 4 2. There exists irrational number a and b such that a^b is rational. 3. For all integers n, if n^3 -n +1 is even then N^3 -n + 3 is even

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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Question

Please answer True or False for the following Statements...

1. For every odd integer n, the integer 11(n^2) - 7 is divisible by 4

2. There exists irrational number a and b such that a^b is rational.

3. For all integers n, if n^3 -n +1 is even then N^3 -n + 3 is even

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