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.

Transcribed Image Text:

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