33. Construct the divided difference table for the dataf (2) = 1, f(3) = 10, f(5) = 76, f (6) = 145.Use the table and Newton's divided difference interpolating polynomial to approximate (4).

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Answered: 33. Construct the divided difference…

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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33. Construct the divided difference table for the data f(2) = 1, f(3) = 10, f(5) = 76, f(6) = 145. Use the table and Newton's divided difference interpolating polynomial to approximate (4) .