4b (b) Using the most accurate centered difference formula, approximate f" (1) andthen state the error in the approximation, given f (r) = sin (x) + , for eachhe {0.1,0.01, 0.001}. Use an accuracy of 6 digits throughout.

Please check step 2 for the solution.!

Answered: (b) Using the most accurate centered…

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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(b) Using the most accurate centered difference formula, approximate f" (1) and then state the error in the approximation, given f (r) = sin (x) + , for each he {0.1,0.01, 0.001}. Use an accuracy of 6 digits throughout.