1) Consider the conquer and divide relation f(n) = 2f (n / 4) +9 with f(1) = 3. a. Considering only arguments for f(n) when n = 4k, for some integer k, provide an explicit formula for f(n). b. What is f(256)? What is the big-O estimate for f(n)? C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 55E
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1) Consider the conquer and divide relation f(n) = 2f(n / 4) + 9 with f(1) = 3.
a.
Considering only arguments for f(n) when n = 4k, for some integer k, provide an
explicit formula for f(n).
b.
What is f(256)?
What is the big-O estimate for f(n)?
Transcribed Image Text:1) Consider the conquer and divide relation f(n) = 2f(n / 4) + 9 with f(1) = 3. a. Considering only arguments for f(n) when n = 4k, for some integer k, provide an explicit formula for f(n). b. What is f(256)? What is the big-O estimate for f(n)?
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