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Solved: Use Nevilles method to approximate 3 with the following functions and values. a
Chapter 3, Problem 3(choose chapter or problem)
Use Neville’s method to approximate \(\sqrt{3}\) with the following functions and values.
a. \(f(x)=3^{x}\) and the values \(x_{0}=-2, x_{1}=-1, x_{2}=0, x_{3}=1\), and \(x_{4}=2\).
b. \(f(x)=\sqrt{x}\) and the values \(x_{0}=0, x_{1}=1, x_{2}=2, x_{3}=4\), and \(x_{4}=5\).
c. Compare the accuracy of the approximation in parts (a) and (b).
Questions & Answers
QUESTION:
Use Neville’s method to approximate \(\sqrt{3}\) with the following functions and values.
a. \(f(x)=3^{x}\) and the values \(x_{0}=-2, x_{1}=-1, x_{2}=0, x_{3}=1\), and \(x_{4}=2\).
b. \(f(x)=\sqrt{x}\) and the values \(x_{0}=0, x_{1}=1, x_{2}=2, x_{3}=4\), and \(x_{4}=5\).
c. Compare the accuracy of the approximation in parts (a) and (b).
ANSWER:Step 1 of 6
a)
To approximate \(\sqrt{3}\) value using the function \(f(x)=3^{x}\) .