1. For the given functions f(x), let x0 = 0, x1 = 0.6, and x2 = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f(0.45) and find the absolute error. Then use Theorem 3.3 in the Burden & Faires textbook to find an error bound for the approximations you obtained. (a) f(x) = cos x (b) f(x)=√√1+x (c) f(x) = ln(x + 1) (d) f(x)=tan x

1. For the given functions f(x), let x0 = 0, x1 = 0.6, and x2 = 0.9. Construct interpolation polynomials of degree at most one and at most two to approximate f(0.45) and find the absolute error. Then use Theorem 3.3 in the Burden & Faires textbook to find an error bound for the approximations you obtained. (a) f(x) = cos x (b) f(x)=√√1+x (c) f(x) = ln(x + 1) (d) f(x)=tan x

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section: Chapter Questions

Problem 10RP

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