Apply Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs. Continue the iterations until two successive approximations differ by less than 0.001. [Hint: Let h(x) = f(x) = g(x).] (Round your answer three decimal places.) f(x) = 2 arccos x g(x) = arctan x X = 0.931 -2 0.931 1 y 2T 1 g 2 X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Apply Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs. Continue the
iterations until two successive approximations differ by less than 0.001. [Hint: Let h(x) = f(x) = g(x).] (Round your answer
three decimal places.)
X =
f(x) = 2 arccos X
g(x) = arctan x
0.931
-2
0.931
f
1
y
2πF
77
KIN
1
g
2
X
Transcribed Image Text:Apply Newton's Method to approximate the x-value of the indicated point of intersection of the two graphs. Continue the iterations until two successive approximations differ by less than 0.001. [Hint: Let h(x) = f(x) = g(x).] (Round your answer three decimal places.) X = f(x) = 2 arccos X g(x) = arctan x 0.931 -2 0.931 f 1 y 2πF 77 KIN 1 g 2 X
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