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(1,3) with the help of the 2nd order Taylor polynomial centered at x=1 together with the appropriate values in the table. x f(x) |S'(x) f"(x) | S"(x) x) |1 -1 2 -6 24 (a) 0,79 (b) 0,78 (c) 0,76 (d) 0,75 (e) 0,74

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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(1,3) 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) S"(x) | S"(x) | f((x)
1
1
-1
2
-6
24
(a) 0,79
(b) 0,78
(c) 0,76
(d) 0,75
(e) 0,74
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 approximate value for f(1,3) 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) S"(x) | S"(x) | f((x) 1 1 -1 2 -6 24 (a) 0,79 (b) 0,78 (c) 0,76 (d) 0,75 (e) 0,74
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