The following table shows certain values of xx and f(x)f(x) of a particular function. Use it to answer the questions that follows: x 0 1 2 3 4 5 y=f(x) 2.0000 6.71836 18.7780 62.25666 216.3926 734.0658 (i) Approximate f(4.325) by a polynomial of degree 3 and estimate the absolute truncation error in this approximation. approximate value
The following table shows certain values of xx and f(x)f(x) of a particular function. Use it to answer the questions that follows: x 0 1 2 3 4 5 y=f(x) 2.0000 6.71836 18.7780 62.25666 216.3926 734.0658 (i) Approximate f(4.325) by a polynomial of degree 3 and estimate the absolute truncation error in this approximation. approximate value
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 table shows certain values of xx and f(x)f(x) of a particular function. Use it to answer the questions that follows:
x | 0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|
y=f(x) | 2.0000 | 6.71836 | 18.7780 | 62.25666 | 216.3926 | 734.0658 |
(i) Approximate f(4.325) by a polynomial of degree 3 and estimate the absolute truncation error in this approximation.
approximate value
truncation error
(ii) Approximate f(4.325)as accurately as possible.
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