Explanation Given Info: let f ( x ) = 1 3 x 3 − 4 x + 1 x o = 1.85 x o = 1.7 x o = 1.55 Formula Used: By Newton's Method x n + 1 = x n − f ( x n ) f ' ( x n ) Calculation: let f ( x ) = 1 3 x 3 − 4 x + 1 define, f ' ( x ) = x 2 − 4 x n + 1 = x n − 1 3 x 3 − 4 x + 1 x 2 − 4 taking x o = 1.85 n = 1 ⇒ x 1 = − 5.58 n = 2 ⇒ x 2 = − 4.31 n = 3 ⇒ x 3 = − 3.73 n = 4 ⇒ x 4 = − 3.59 n = 5 ⇒ x 5 = − 3.58 n = 6 ⇒ x 6 = − 3.58 n = 7 ⇒ x 7 = − 3.58 taking x o = 1.7 n = 1 ⇒ x 1 = − 2

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.7, Problem 28E

To determine

(a)

To find the roots of

let f(x)=13x3−4x+1 when xo=1.85, xo=1.7, xo=1.55

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Chapter 4.7, Problem 27E

Chapter 4.7, Problem 29E

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Chapter 4 Solutions

Calculus - Standalone book

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - Prob. 45E Ch. 4.1 - Prob. 46E Ch. 4.1 - Prob. 47E Ch. 4.1 - Prob. 48E Ch. 4.1 - Prob. 49E Ch. 4.1 - Prob. 50E Ch. 4.1 - Prob. 51E Ch. 4.1 - Prob. 52E Ch. 4.1 - Prob. 53E Ch. 4.1 - Prob. 54E Ch. 4.1 - Prob. 55E Ch. 4.1 - Prob. 56E Ch. 4.1 - 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(a) To find the roots of let f ( x ) = 1 3 x 3 − 4 x + 1 when x o = 1.85 , x o = 1.7 , x o = 1.55

Solution Summary: The author explains how to determine the roots of letf(x)=13x 3-4x+1.

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(a)

To find the roots of

let f(x)=13x3−4x+1 when xo=1.85, xo=1.7, xo=1.55

Want to see the full answer?

Chapter 4 Solutions

(a) To find the roots of let f ( x ) = 1 3 x 3 − 4 x + 1 when x o = 1.85 , x o = 1.7 , x o = 1.55

Solution Summary: The author explains how to determine the roots of letf(x)=13x 3-4x+1.

Videos

(a) To find the roots of let f(x)=13x3−4x+1 when xo=1.85, xo=1.7, xo=1.55

Want to see the full answer?

Chapter 4 Solutions

(a)

To find the roots of

let f(x)=13x3−4x+1 when xo=1.85, xo=1.7, xo=1.55