a. Use the following values and five-digit rounding arithmetic to construct the Hermite interpolating polynomial to approximate

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a. Use the following values and five-digit rounding arithmetic to construct the Hermite interpolating polynomial to approximate sin 0.34.

b. Determine an error bound for the approximation in part (a), and compare it to the actual error.
c. Add sin 0.33 = 0.32404 and cos 0.33 = 0.94604 to the data, and redo the calculations.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:38 AM

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a. Use the following values and five-digit rounding arithmetic to construct the Hermite interpolating polynomial to approximate

Question:

sin x | D, sin x=cos x 0.30 0.29552 0.95534 0.32 0.314570.94924 0.35 0.34290 0 093937

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a We have sin 034 H 5 034 033349 b The formula gives an error bound of 305 10 14 but the ...View the full answer

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