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' (Xo) 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 move to other solutions of the equation f(x) = 0. OC. x, and later approximations will all be equal to 0. O D. x, and later approximations will all be equal to x,-

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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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' (xo) 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 move to other solutions of the equation f(x) = 0.
O C. x, and later approximations will all be equal to 0.
O D. x, and later approximations will all be equal to x,-
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' (xo) 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 move to other solutions of the equation f(x) = 0. O C. x, and later approximations will all be equal to 0. O D. x, and later approximations will all be equal to x,-
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