For each of the functions f(N) given below, indicate the tightest bound possible (in other words, write the Big-Oh notation in terms of the variable n for the function as the answer to every question. Show the working where necessary. i. f (N) = N * (N² log N + N² ) ii. f (N) = N log (100³) (N³ + 2N²)/ N f (N) = f (N) = N³ * N² + (N² + 2N)³ f (N) = log N4 + log? N f (N) ii. iv. V. vi. = N³ * (NlogN – 400log N)+ (N²)² |

For each of the functions f(N) given below, indicate the tightest bound possible (in other words, write the Big-Oh notation in terms of the variable n for the function as the answer to every question. Show the working where necessary. i. f (N) = N * (N² log N + N² ) ii. f (N) = N log (100³) (N³ + 2N²)/ N f (N) = f (N) = N³ * N² + (N² + 2N)³ f (N) = log N4 + log? N f (N) ii. iv. V. vi. = N³ * (NlogN – 400log N)+ (N²)² |

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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Question

100%

For each of the functions f(N) given below, indicate the tightest bound possible (in other words, write
the Big-Oh notation in terms of the variable n for the function as the answer to every question. Show
the working where necessary.
i.
f (N) = N * (N² log N + N² )
ii.
f (N)
= N log (1003 )
f (N) = (N³ + 2N²)/N
f (N) = N³ * N² + (N² + 2N)³
f (N) = log Nª + log? N
ii.
iv.
V.
%3D
vi.
f (N)
= N³ * (NlogN – 400log N) + (N²)²
-

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