Jse the third order Taylor polynomial at 9 to approximate v10 as follows: (a) Explain why 9 is a good tabular point; (b) Give the third order Taylor polynomial about the tabular point and the value of the approximation; 15 (c) Show that the error E3(10) is at most 4!16 · 37*

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 17EQ
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Use the third order Taylor polynomial at 9 to approximate v10 as follows:
(a) Explain why 9 is a good tabular point;
(b) Give the third order Taylor polynomial about the tabular point and the value
of the approximation;
15
(c) Show that the error E3(10) is at most
4!16 · 37
Transcribed Image Text:Use the third order Taylor polynomial at 9 to approximate v10 as follows: (a) Explain why 9 is a good tabular point; (b) Give the third order Taylor polynomial about the tabular point and the value of the approximation; 15 (c) Show that the error E3(10) is at most 4!16 · 37
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