and mathematical statements. Please remember the academic integrity policy that you swore to uphold. Proofs can be challenging. Just try your best. If you don't get it this week, you have many more opportunities! 1. Let a and b be an real numbers. Prove that if 4a +86 = 57, then a and b are not integers. (Hint: try contradiction). 2. Prove that if n is an integer and 2 | n² then n is even using a proof by contraposition. You can use our text, videos, notes etc, posted to Teams and Blackboard. No other outside resources (including humans) are allowed.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Learning Target L5 (Core): I can correctly structure a careful mathematical proof including all relevant English
and mathematical statements.
Please remember the academic integrity policy that you swore to uphold. Proofs can be challenging. Just
try your best. If you don't get it this week, you have many more opportunities!
1. Let a and b be an real numbers. Prove that if 4a +86 = 57, then a and b are not integers. (Hint: try
contradiction).
2. Prove that if n is an integer and 2 | n² then n is even using a proof by contraposition.
You can use our text, videos, notes etc, posted to Teams and Blackboard. No other outside resources
(including humans) are allowed.
Transcribed Image Text:Learning Target L5 (Core): I can correctly structure a careful mathematical proof including all relevant English and mathematical statements. Please remember the academic integrity policy that you swore to uphold. Proofs can be challenging. Just try your best. If you don't get it this week, you have many more opportunities! 1. Let a and b be an real numbers. Prove that if 4a +86 = 57, then a and b are not integers. (Hint: try contradiction). 2. Prove that if n is an integer and 2 | n² then n is even using a proof by contraposition. You can use our text, videos, notes etc, posted to Teams and Blackboard. No other outside resources (including humans) are allowed.
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