The function t (x) = ex 14x has a root that is close to 0. If Newton's Method is used to find this root with xo = 5, which of the following statements is the most accurate? A: Newton's Method will not work because the values will diverge. B: Newton's Method will not work because the values alternate between 0 and 1. C: Newton's Method will not work because t'(x) = 0. D: Newton's Method will find a root. Ο Α B с OD

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The function t (x)
ex
14x has a root that is close to 0. If
Newton's Method is used to find this root with x = 5, which of
the following statements is the most accurate?
A: Newton's Method will not work because the values will diverge.
B: Newton's Method will not work because the values alternate
between 0 and 1.
C: Newton's Method will not work because t'(x) = 0.
D: Newton's Method will find a root.
ΟΑ
B
D
=
Transcribed Image Text:The function t (x) ex 14x has a root that is close to 0. If Newton's Method is used to find this root with x = 5, which of the following statements is the most accurate? A: Newton's Method will not work because the values will diverge. B: Newton's Method will not work because the values alternate between 0 and 1. C: Newton's Method will not work because t'(x) = 0. D: Newton's Method will find a root. ΟΑ B D =
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