How can we use cases to prove that these questions are even? **Mathematics Exploration: Parity of Integers****Proposition** If two integers have opposite parity, then their sum is odd.---**Additional Problems**1. **Problem 1** If \( n \in \mathbb{Z} \), then \( n^2 + 3n + 4 \) is even. *(Use cases.)*2. **Problem 2** If two integers have opposite parity, then their product is even. *(Use cases, and the phrase "without loss of generality.")*

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Answered: If ne Z, then n² + 3n+ 4 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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