- Problem 1 Prove that induction proofs actually works. Mathematically, |(P(0) ^ (P(k) = P(k+ 1))) » P(n) Vn > 0 Hint: contradiction - Problem 2 Show that for any wire whose length is n > 12, it can be represented as pieces of exactly 4 and 5 units. Hint: Induction
- Problem 1 Prove that induction proofs actually works. Mathematically, |(P(0) ^ (P(k) = P(k+ 1))) » P(n) Vn > 0 Hint: contradiction - Problem 2 Show that for any wire whose length is n > 12, it can be represented as pieces of exactly 4 and 5 units. Hint: Induction
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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Please, I need the first prove by contradiction, and the second problem prove by Induction
![Problem 1
Prove that induction proofs actually works. Mathematically,
(P(0) ^ (P(k) → → P(n) Vn 2 0
P(k + 1)))
Hint: contradiction
Problem 2
Show that for any wire whose length is n > 12, it can be represented as pieces of exactly 4 and 5 units.
Hint: Induction
[ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216565d9-b9f9-4481-95f5-2b304f022838%2F8d3afe25-e650-42d6-a6f0-397faae5baef%2Flgj6r03_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 1
Prove that induction proofs actually works. Mathematically,
(P(0) ^ (P(k) → → P(n) Vn 2 0
P(k + 1)))
Hint: contradiction
Problem 2
Show that for any wire whose length is n > 12, it can be represented as pieces of exactly 4 and 5 units.
Hint: Induction
[ ]
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