4) In how many ways you express 10$ as a sum of dimes (10c) and quarters (0.25$)? 5) Solve 50000a + 18412b = 2

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
4,5
2) Prove that Vn EN
12n+1
is in lowest term, i.e., prove that
30n+1
gcd(12n + 1,30n + 1) = 1
3) vnEN, prove that 57|7n+2 + 82n+1
4) In how many ways you express 10$ as a sum of dimes (10c) and quarters
(0.25$)?
5) Solve 50000a + 18412b :
Transcribed Image Text:2) Prove that Vn EN 12n+1 is in lowest term, i.e., prove that 30n+1 gcd(12n + 1,30n + 1) = 1 3) vnEN, prove that 57|7n+2 + 82n+1 4) In how many ways you express 10$ as a sum of dimes (10c) and quarters (0.25$)? 5) Solve 50000a + 18412b :
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