P1.: (n)-37 (n/2) +n² 12: 7(n)=√√27 (n/2) +logn P3: I(n) = 3T (n/3) + n/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I need help to solve problem with master method to determine the asymptotic complexity of closed formulas. The Master Method will be applicable to all four problems. For any problem that matches cases 1 or 3 of the Master Method, do not forget to show that function f(n) is also polynomially smaller (or, larger) than the corresponding log_b a^n .

r1.: f(n) = 37 (n/2) + n²
1^2: 7(n) = √27 (n / 2) +logn
P3: I (n) = 37 (n/3) + n/2
P4: I(n)=167 (n/4)+n!
[1 if n=0
P5: t₁ = 2 if n=1
[3t-1 + 2t-2)
Transcribed Image Text:r1.: f(n) = 37 (n/2) + n² 1^2: 7(n) = √27 (n / 2) +logn P3: I (n) = 37 (n/3) + n/2 P4: I(n)=167 (n/4)+n! [1 if n=0 P5: t₁ = 2 if n=1 [3t-1 + 2t-2)
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