The figure shows the representation of a graph of a function f: R->R (blue), f is continuous in its domain and only has a cut with the x axis, the lines I and m, respectively, are lines that are obtained by perform iterations with the newton method to approximate the zero of f starting with the value of xo = 8, the first two approximations of the zero of f are x1 and x2 If we know that f(8) = 3 and f'(8) = 3 what's the value for x1 O a) 7 O b) c) 1 d)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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The figure shows the representation of a graph of a function f: R->R (blue), f is continuous in its
domain and only has a cut with the x axis, the lines I and m, respectively, are lines that are
obtained by perform iterations with the newton method to approximate the zero of f starting
with the value of xo = 8, the first two approximations of the zero of f are x, and x,
If we know that f(8) = 3 and f'(8) = 3 what's the value for x1
O a) 7
b)
Oc) 1
7
d)
2
Transcribed Image Text:The figure shows the representation of a graph of a function f: R->R (blue), f is continuous in its domain and only has a cut with the x axis, the lines I and m, respectively, are lines that are obtained by perform iterations with the newton method to approximate the zero of f starting with the value of xo = 8, the first two approximations of the zero of f are x, and x, If we know that f(8) = 3 and f'(8) = 3 what's the value for x1 O a) 7 b) Oc) 1 7 d) 2
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