For each of the following 5 statements, check the corresponding box on the answer sheet if and only if the statement is true. (a) If f (n) €0(n2) and g(n) =0(n2), then n xf (n) + g(n) =0(n3). (b) If f (n) €0(n2) and g(n) =0(n2), then f (n) + n xg(n) =0(n3). (c) If f (n) €0(n), then n xf (n) + 1000 €0(n). (d) If f (n) €0(n), then n xf (n) + 1000 €0(n2). (e) n! €0(2n).|

For each of the following 5 statements, check the corresponding box on the answer sheet if and only if the statement is true. (a) If f (n) €0(n2) and g(n) =0(n2), then n xf (n) + g(n) =0(n3). (b) If f (n) €0(n2) and g(n) =0(n2), then f (n) + n xg(n) =0(n3). (c) If f (n) €0(n), then n xf (n) + 1000 €0(n). (d) If f (n) €0(n), then n xf (n) + 1000 €0(n2). (e) n! €0(2n).|

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

For each of the following 5 statements, check the corresponding box on the answer
sheet if and only if the statement is true.
(a) If f (n) €0(n2) and g(n) =0(n2), then n xf (n) + g(n) €0(n3).
(b) If f (n) €0(n2) and g(n) €0(n2), then f (n) + n xg(n) €0(n³).
(c) If f (n) €0(n), then n xf (n) + 1000 €0(n).
(d) If f (n) €0(n), then n xf (n) + 1000 €0(n2).
(e) n! €0(2n).|

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