2Use Newton's interpolating polynomial to determine y at *=8 to the best possible accuracy. Compute the finite divided differences as in Fig. 17.5, and order your points to attain op- timal accuracy...

Extracted text: 2Use Newton's interpolating polynomial to determine y at *=8 to the best possible accuracy. Compute the finite divided differences as in Fig. 17.5, and order your points to attain op- timal accuracy and convergence. That is, the points should be centered around and as clase as possible to the unkiown. 01 2 5.5 y 0.5 16 11 3.134 5.3 9.9 10.2 9.35 7.2 6.2 13 18