Problems * 1. Calculate (42), p(420), and q(4200). 2. Calculate (54) (540) and (5400)

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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Problems
1. Calculate q(42), p(420), and p(4200).
2. Calculate p (54), q(540), and p (5400).
Transcribed Image Text:Problems 1. Calculate q(42), p(420), and p(4200). 2. Calculate p (54), q(540), and p (5400).
*
3. Calculate o of 10115 = 5. 7. 17² and 100115 = 5.20023.
4. Calculate o of 10116 2².32.281 and 100116 = 2² · 35 · 103.
*
=
5. Calculate a8 (mod 15) for a =
1, 2, 14.
6. Calculate a8 (mod 16) for a = 1, 2,
15.
7. Show that if n is odd, then q(4n) = 2 (n).
8. Perfect numbers satisfy o(n) = 2n. Which n satisfy q(n) = 2n?
Transcribed Image Text:* 3. Calculate o of 10115 = 5. 7. 17² and 100115 = 5.20023. 4. Calculate o of 10116 2².32.281 and 100116 = 2² · 35 · 103. * = 5. Calculate a8 (mod 15) for a = 1, 2, 14. 6. Calculate a8 (mod 16) for a = 1, 2, 15. 7. Show that if n is odd, then q(4n) = 2 (n). 8. Perfect numbers satisfy o(n) = 2n. Which n satisfy q(n) = 2n?
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