Numerical Differentiation 1. Given the following data points: 0.3 0.4 0.5 0.6 0.7 y 1.3444 1.4728 1.5975 1.7053 1.7768 (a) Estimate f(0.48). (b) Estimate f'(0.48). (c) With the function given as f(x) = e* cos x², compare the values obtained in (a) and (b) by getting the actual values and the corresponding relative errors.

Numerical Differentiation 1. Given the following data points: 0.3 0.4 0.5 0.6 0.7 y 1.3444 1.4728 1.5975 1.7053 1.7768 (a) Estimate f(0.48). (b) Estimate f'(0.48). (c) With the function given as f(x) = e* cos x², compare the values obtained in (a) and (b) by getting the actual values and the corresponding relative errors.

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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Question

Numerical Methods

Numerical Differentiation
1. Given the following data points:
0.3
0.4
0.5
0.6
0.7
y
1.3444
1.4728
1.5975
1.7053
1.7768
(a) Estimate f(0.48).
(b) Estimate f'(0.48).
(c) With the function given as f(x) = e* cos x?, compare the values obtained in
(a) and (b) by getting the actual values and the corresponding relative errors.

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