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((x) 1 1 -1 -6 24 (a) 0,81 (b) 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) 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((x) 1 1 -1 -6 24 (a) 0,81 (b) 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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Transcribed Image Text: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 approxima te 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) (x)
1.
-1
-6
24
(a) 0,81
(b) 0,82
(c) 0,83
(d)0,84
(e) 0,85
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