3 Let f(x) = 5e-³. Suppose that Newton's method is with X0 = 2 to obtain an approximate root of f(x) = 0. 2 3 4 None of the above. applied What is the least k so that |*k − x*| < 10−³ where x* is the exact root? Hint: Use Wolfram Alpha to obtain an accurate approximation of **.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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Question
X
Let f(x) = 5e - ³. Suppose that Newton's method is applied
with x0 = 2 to obtain an approximate root of f(x)
-3
What is the least k so that |*k − x*| < 10−³ where x* is the exact
root?
Hint: Use Wolfram Alpha to obtain an accurate approximation of x*.
2
3
4
None of the above.
Transcribed Image Text:X Let f(x) = 5e - ³. Suppose that Newton's method is applied with x0 = 2 to obtain an approximate root of f(x) -3 What is the least k so that |*k − x*| < 10−³ where x* is the exact root? Hint: Use Wolfram Alpha to obtain an accurate approximation of x*. 2 3 4 None of the above.
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