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f(n) — 103л+2 А. f(n) — О(9(n)) В. f(n) — N(9(п)) С. f(n) %3D Ө(9(n)) g(n) = 10"+7

f(n) — 103л+2 А. f(n) — О(9(n)) В. f(n) — N(9(п)) С. f(n) %3D Ө(9(n)) g(n) = 10"+7

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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The image presents a mathematical problem related to asymptotic notation. It features two functions: - \( f(n) = 10^{3n+2} \) - \( g(n) = 10^{n+7} \) The problem is to determine the relationship between \( f(n) \) and \( g(n) \) using asymptotic notation. The options are: A. \( f(n) = O(g(n)) \) B. \( f(n) = \Omega(g(n)) \) C. \( f(n) = \Theta(g(n)) \) To solve this, one must compare the rates of growth of the two functions.
Transcribed Image Text:The image presents a mathematical problem related to asymptotic notation. It features two functions: - \( f(n) = 10^{3n+2} \) - \( g(n) = 10^{n+7} \) The problem is to determine the relationship between \( f(n) \) and \( g(n) \) using asymptotic notation. The options are: A. \( f(n) = O(g(n)) \) B. \( f(n) = \Omega(g(n)) \) C. \( f(n) = \Theta(g(n)) \) To solve this, one must compare the rates of growth of the two functions.
Expert Solution
Step 1

Let's calculate value of f(n) and g(n) for different values of n. 

For n=5, 

F(n) = 1017

g(n) = 1012

 

steps

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