Use Newton's method to approximate a root of the equation 5x³ + 2x + 2 = 0 as follows.= -1 be the initial approximation.Let X1The second approximation x2 isand the third approximation X3 is Find the smallest positive value of x which satisfiesx = 1.400 cos(1.300x).Give the answer to four decimal places of accuracy.X =(Remember to calculate the trig functions in radian mode!)

Newton’s Method: If xn is an approximation a solution of f(x)=0 and if f′(xn)≠0, then the next…

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Use Newton's method to approximate a root of the equation 5x³ + 2x + 2 = 0 as follows. Let x1 = -1 be the initial approximation. The second approximation x2 is and the third approximation x3 is

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 75E

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Question

Use Newton's method to approximate a root of the equation 5x³ + 2x + 2 = 0 as follows.
= -1 be the initial approximation.
Let X1
The second approximation x2 is
and the third approximation X3 is

Find the smallest positive value of x which satisfies
x = 1.400 cos(1.300x).
Give the answer to four decimal places of accuracy.
X =
(Remember to calculate the trig functions in radian mode!)

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