1. Find the third Taylor polynomial for f(x)=√√x+1 about x = 0. According to the third Taylor polynomial, calculate the relative and absolute errors for the value of f(0.03). (50p) 2. Explain the Müller's method to find a root of an equation. And give one ilusturative example. (50 p)

1. Find the third Taylor polynomial for f(x)=√√x+1 about x = 0. According to the third Taylor polynomial, calculate the relative and absolute errors for the value of f(0.03). (50p) 2. Explain the Müller's method to find a root of an equation. And give one ilusturative example. (50 p)

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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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.

Question

1. Find the third Taylor polynomial for f(x)=√√x+1 about x = 0. According to the third Taylor
polynomial, calculate the relative and absolute errors for the value of ƒ (0.03). (50 p)
2. Explain the Müller's method to find a root of an equation. And give one ilusturative example.
(50 p)

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