(a) Explanation Given information Use Newton-Raphson method. f ( x ) = x 2 − N Calculation: According to Newton-Raphson method, x n + 1 = x n − f ( x n ) f ′ ( x n ) From the given information it can be written as, f ( x ) = x 2 − N f ′ ( x n ) = 2 x n (b) To determine The value of 1265 using the above formulae.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 3.8, Problem 53PS

(a)

To determine

The proof of the formulae xn+1=12(xn+Nxn) .

(b)

To determine

The value of 1265 using the above formulae.

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Chapter 3.8, Problem 52PS

Chapter 3.8, Problem 55PS

Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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Prob. 40PS Ch. 3.7 - Prob. 41PS Ch. 3.7 - Prob. 42PS Ch. 3.7 - Prob. 43PS Ch. 3.7 - Prob. 44PS Ch. 3.7 - Prob. 45PS Ch. 3.7 - Prob. 46PS Ch. 3.7 - Prob. 47PS Ch. 3.7 - Prob. 48PS Ch. 3.7 - Prob. 49PS Ch. 3.7 - Prob. 50PS Ch. 3.7 - Prob. 51PS Ch. 3.7 - Prob. 52PS Ch. 3.7 - Prob. 53PS Ch. 3.7 - Prob. 54PS Ch. 3.7 - Prob. 55PS Ch. 3.7 - Prob. 56PS Ch. 3.7 - Prob. 57PS Ch. 3.7 - Prob. 58PS Ch. 3.7 - Prob. 59PS Ch. 3.7 - Prob. 60PS Ch. 3.8 - Prob. 1PS Ch. 3.8 - Prob. 2PS Ch. 3.8 - Prob. 3PS Ch. 3.8 - Prob. 4PS Ch. 3.8 - Prob. 5PS Ch. 3.8 - Prob. 6PS Ch. 3.8 - Prob. 7PS Ch. 3.8 - Prob. 8PS Ch. 3.8 - Prob. 9PS Ch. 3.8 - Prob. 10PS Ch. 3.8 - Prob. 11PS Ch. 3.8 - Prob. 12PS Ch. 3.8 - Prob. 13PS Ch. 3.8 - Prob. 14PS Ch. 3.8 - Prob. 15PS Ch. 3.8 - Prob. 16PS Ch. 3.8 - Prob. 17PS Ch. 3.8 - Prob. 18PS Ch. 3.8 - Prob. 19PS Ch. 3.8 - Prob. 20PS Ch. 3.8 - Prob. 21PS Ch. 3.8 - Prob. 22PS Ch. 3.8 - Prob. 23PS Ch. 3.8 - Prob. 24PS Ch. 3.8 - Prob. 25PS Ch. 3.8 - Prob. 26PS Ch. 3.8 - Prob. 27PS Ch. 3.8 - Prob. 28PS Ch. 3.8 - 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The proof of the formulae x n + 1 = 1 2 ( x n + N x n ) .

Solution Summary: The author states the proof of the formulae x_n+1=12left.

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The proof of the formulae xn+1=12(xn+Nxn) .

The value of 1265 using the above formulae.

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Chapter 3 Solutions