want to help you succeed. Seriously. 1. Prove that if a and b are integers and a² +6² is even, then a+b is even. [Big Hint: try a contrapositive proof. Square it. See what happens.] 2. Prove that if 5 | n, then 3n - 45 is divisible by 15. N ther outside resources
want to help you succeed. Seriously. 1. Prove that if a and b are integers and a² +6² is even, then a+b is even. [Big Hint: try a contrapositive proof. Square it. See what happens.] 2. Prove that if 5 | n, then 3n - 45 is divisible by 15. N ther outside resources
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Learning Target L5: 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!
Advice: If you still have an N in this learning target and you're having trouble, send me an email/message
with what you have, and I'll try to help push you in the right direction (without giving it all away)
want to help you succeed. Seriously.
1. Prove that if a and b are integers and a² +6² is even, then a +b is even. [Big Hint: try a contrapositive
proof. Square it. See what happens.]
2. Prove that if 5 | n, then 3n - 45 is divisible by 15.
You can use our text, videos, notes etc, posted to Teams and Blackboard. No other outside resources
(including humans) are allowed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd375a7e5-ad67-4b21-afad-3fb7503a0e18%2F36bf897c-d7f6-4612-8418-e6d90712882a%2Fz7tnbt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Target L5: 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!
Advice: If you still have an N in this learning target and you're having trouble, send me an email/message
with what you have, and I'll try to help push you in the right direction (without giving it all away)
want to help you succeed. Seriously.
1. Prove that if a and b are integers and a² +6² is even, then a +b is even. [Big Hint: try a contrapositive
proof. Square it. See what happens.]
2. Prove that if 5 | n, then 3n - 45 is divisible by 15.
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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