Use a Taylor approximation of degree 6 about point c = 0.25 to approximate g(x)= sin(x). What is the absolute error of the approximation to g(0.3)? absolute error = number (3 significant figures) What is the relative relative error = error of the approximation to g(0.3)? number (3 significant figures) ? What is the absolute error of the approximation to g(0.07) if the Taylor approximation is instead centered at c = 0? absolute error = number (3 significant figures) What is the relative error of the approximation to g(0.07) if the Taylor approximation is instead centered at c = 0? relative error = number (3 significant figures)
Use a Taylor approximation of degree 6 about point c = 0.25 to approximate g(x)= sin(x). What is the absolute error of the approximation to g(0.3)? absolute error = number (3 significant figures) What is the relative relative error = error of the approximation to g(0.3)? number (3 significant figures) ? What is the absolute error of the approximation to g(0.07) if the Taylor approximation is instead centered at c = 0? absolute error = number (3 significant figures) What is the relative error of the approximation to g(0.07) if the Taylor approximation is instead centered at c = 0? relative error = number (3 significant figures)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Numerical Methods
Transcribed Image Text:Use a Taylor approximation of degree 6 about point c = 0.25 to approximate
g(x) = sin(x).
What is the absolute error of the approximation to g(0.3)?
absolute error =
number (3 significant figures)
What is the relative error of the approximation to g(0.3)?
number (3 significant figures)
relative error =
?
?
What is the absolute error of the approximation to g(0.07) if the Taylor approximation
is instead centered at c = 0?
absolute error = number (3 significant figures)
?
?
What is the relative error of the approximation to g(0.07) if the Taylor approximation is
instead centered at c = 0?
relative error = number (3 significant figures)
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