The value of the function f(x) and some order derivatives at the point x=1 are given in the following table where f(x) is a function whose derivatives of all orders exist in an open interval including x=1. Which of the following results will be obtained if we calculate an approximate value for f(1,2) wi th the help of the 2nd order Taylor polynomial centered at x=1 together with the appropriate values in the table. |S(x) | f'(x)| f"(x)| f"'(x) | f()(x) 24 1 -1 2 -6 (a) 0,81 (Ь) 0,82 (c) 0,83 (d) 0,84 (e) 0,85

The value of the function f(x) and some order derivatives at the point x=1 are given in the following table where f(x) is a function whose derivatives of all orders exist in an open interval including x=1. Which of the following results will be obtained if we calculate an approximate value for f(1,2) wi th the help of the 2nd order Taylor polynomial centered at x=1 together with the appropriate values in the table. |S(x) | f'(x)| f"(x)| f"'(x) | f()(x) 24 1 -1 2 -6 (a) 0,81 (Ь) 0,82 (c) 0,83 (d) 0,84 (e) 0,85

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

The value of the function f(x) and some order derivatives at the point
x=1 are given in the following table where f (x) is a function whose
derivatives of all orders exist in an open interval including x=1. Which of
the following results will be obtained if we calculate an approximate value
for f(1,2) with the help of the 2nd order Taylor polynomial centered at
x=1 together with the appropriate values in the table.
f(x)
f'(x) f"(x) | f"( x) | f(9(x)
1
1
-1
2
-6
24
(a) 0,81
(b) 0,82
(c) 0,83
(d) 0,84
(e) 0,85

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