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2. Consider the data points (-1, 8), (0, 4) and (1, 16) and. Using these data and Newton's divided/difference method, answer the following: (a) (b) Compute the coefficients a, for k = 0, 1, 2. Also write the interpolating polynomial. Using the polynomial you found in the previous part, find p, (0.5) and pn(-0.9).

2. Consider the data points (-1, 8), (0, 4) and (1, 16) and. Using these data and Newton's divided/difference method, answer the following: (a) (b) Compute the coefficients a, for k = 0, 1, 2. Also write the interpolating polynomial. Using the polynomial you found in the previous part, find p, (0.5) and pn(-0.9).

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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2. Consider the data points (-1, 8), (0, 4) and (1, 16) and. Using these data and Newton's divided/difference method, answer the following: (a) (b) Compute the coefficients ak for k = 0, 1, 2. Also write the interpolating polynomial. Using the polynomial you found in the previous part, find pn (0.5) and pn(-0.9).
Transcribed Image Text:2. Consider the data points (-1, 8), (0, 4) and (1, 16) and. Using these data and Newton's divided/difference method, answer the following: (a) (b) Compute the coefficients ak for k = 0, 1, 2. Also write the interpolating polynomial. Using the polynomial you found in the previous part, find pn (0.5) and pn(-0.9).
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