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|1. The data in the following tables were generated using the following functions. Use the divided difference method to determine the Hermite polynomial approximation for the given value of x to approximate f (x), and calculate the absolute error. f (x) = x² cos x – 3x; approximate f (0.18). f (x) f'(x) 0.1 -0.29004996 -2.8019975 0.2 -0.56079734 -2.6159201 0.3 -0.81401972 -2.9734038

|1. The data in the following tables were generated using the following functions. Use the divided difference method to determine the Hermite polynomial approximation for the given value of x to approximate f (x), and calculate the absolute error. f (x) = x² cos x – 3x; approximate f (0.18). f (x) f'(x) 0.1 -0.29004996 -2.8019975 0.2 -0.56079734 -2.6159201 0.3 -0.81401972 -2.9734038

Advanced Engineering Mathematics
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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1. The data in the following tables were generated using the following functions. Use the divided difference method to determine the Hermite polynomial approximation for the given value of x to approximatef(x), and calculate the absolute error. f (x) = x² cos x - 3x; аpproximate f (0.18). f (x) f'(x) 0.1 -0.29004996 -2.8019975 0.2 -0.56079734 -2.6159201 0.3 -0.81401972 -2.9734038
Transcribed Image Text:1. The data in the following tables were generated using the following functions. Use the divided difference method to determine the Hermite polynomial approximation for the given value of x to approximatef(x), and calculate the absolute error. f (x) = x² cos x - 3x; аpproximate f (0.18). f (x) f'(x) 0.1 -0.29004996 -2.8019975 0.2 -0.56079734 -2.6159201 0.3 -0.81401972 -2.9734038
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