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Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) = 0. Assuming that f' (x0) is defined and not 0, what happens to x, and later approximations? Choose the correct answer below. O A. x, and later approximations will move away from the root. O B. x, and later approximations will all be equal to O C. x, and later approximations will move to other solutions of the equation f(x) = 0. O D. x, and later approximations will all be equal to 0.

Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) = 0. Assuming that f' (x0) is defined and not 0, what happens to x, and later approximations? Choose the correct answer below. O A. x, and later approximations will move away from the root. O B. x, and later approximations will all be equal to O C. x, and later approximations will move to other solutions of the equation f(x) = 0. O D. x, and later approximations will all be equal to 0.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter47: Applications Of Formulas To Cutting Speed, Revolutions Per Minute, And Cutting Time
Section: Chapter Questions
Problem 31A
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Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) = 0. Assuming that f' (x0) is defined and not 0, what happens to x, and later approximations? Choose the correct answer below. O A. x, and later approximations will move away from the root. O B. x, and later approximations will all be equal to O C. x, and later approximations will move to other solutions of the equation f(x) = 0. O D. x, and later approximations will all be equal to 0.
Transcribed Image Text:Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) = 0. Assuming that f' (x0) is defined and not 0, what happens to x, and later approximations? Choose the correct answer below. O A. x, and later approximations will move away from the root. O B. x, and later approximations will all be equal to O C. x, and later approximations will move to other solutions of the equation f(x) = 0. O D. x, and later approximations will all be equal to 0.
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