3. Use the Substitution Method to prove the following. 1 • T(n) = 0(n²) is a valid solution for T(n) = if n=1 2T () +n if n>2 4. Give an expression for the runtime T(n) if the recurrence can be solved with the Master Theorem. Otherwise, indicate that the theorem does not apply. T(n) = 3T () + log n

3. Use the Substitution Method to prove the following. 1 • T(n) = 0(n²) is a valid solution for T(n) = if n=1 2T () +n if n>2 4. Give an expression for the runtime T(n) if the recurrence can be solved with the Master Theorem. Otherwise, indicate that the theorem does not apply. T(n) = 3T () + log n

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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