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The following data are for a certain function 0.1 0.2 0.3 0.4 -0.29005 -0.56079 -0.81402 -1.05263 (2)| -0.2 Use the Lagrange interpolating polynomial of degree three to determine the approximation of the underlying function and the approximate value f(0.18). Find the error bound for the Lagrange polynomial. The data was generated using the function, f(x) = x² cos x - 3x. Find the actual error in the approximation obtained using the method in (1.1) above.

The following data are for a certain function 0.1 0.2 0.3 0.4 -0.29005 -0.56079 -0.81402 -1.05263 (2)| -0.2 Use the Lagrange interpolating polynomial of degree three to determine the approximation of the underlying function and the approximate value f(0.18). Find the error bound for the Lagrange polynomial. The data was generated using the function, f(x) = x² cos x - 3x. Find the actual error in the approximation obtained using the method in (1.1) above.

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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The following data are for a certain function 0.1 0.2 0.3 0.4 160|- -0.29005 -0.56079 -0.81402 -1.05263 Use the Lagrange interpolating polynomial of degree three to determine the approximation of the underlying function and the approximate value f(0.18). Find the error bound for the Lagrange polynomial. The data was generated using the function, f(x) = x² cos x - 3x. Find the actual error in the approximation obtained using the method in (1.1) above.
Transcribed Image Text:The following data are for a certain function 0.1 0.2 0.3 0.4 160|- -0.29005 -0.56079 -0.81402 -1.05263 Use the Lagrange interpolating polynomial of degree three to determine the approximation of the underlying function and the approximate value f(0.18). Find the error bound for the Lagrange polynomial. The data was generated using the function, f(x) = x² cos x - 3x. Find the actual error in the approximation obtained using the method in (1.1) above.
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