a. Use the following values and five-digit rounding arithmetic to construct the Hermite
Chapter 3, Problem 3.3.5(choose chapter or problem)
a. Use the following values and five-digit rounding arithmetic to construct the Hermite interpolating polynomial to approximate sin 0.34. x sin x Dx sin x = cos x 0.30 0.29552 0.95534 0.32 0.31457 0.94924 0.35 0.34290 0.93937 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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