Given the following time-complexity functions, fi€ O(n³) f2 € 0( which algorithm is faster for large inputs? O a. Algorithm one is faster. O b. Aigorithm two is faster. c. The two algorithms are equally fast. O d. We can not tell from the information given.

Given the following time-complexity functions, fi€ O(n³) f2 € 0( which algorithm is faster for large inputs? O a. Algorithm one is faster. O b. Aigorithm two is faster. c. The two algorithms are equally fast. O d. We can not tell from the information given.

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 1 Given the following time-complexity functions, f₁€ 0 (n³) f₂E0(4) which algorithm is faster for large inputs? a. Algorithm one is faster. Ob. Algorithm two is faster. Ⓒc. The two algorithms are equally fast. Od. We can not tell from the information given. QUESTION 2 Given the following time-complexity functions, f₁€ 0 (n³) f₂€0 (10n³) which algorithm is faster for large inputs? a. Algorithm one is faster. Ob. Algorithm two is faster. c. The two algorithms are equally fast. Od. We can not tell from the information given.
4) Devise an algorithm that evaluates a polynomial Anxn + An-1xn−1 + An-2xn_² + + a₁x + ao at some given value x = xo. a. Describe your algorithm using pseudo code. b. Analyze the execution time of your algorithm as a function of the degree of the polynomial n. c. Obtain the asymptotic time complexity of your algorithm.