(a) What is the Taylor polynomial of degree 2 for g near 3? P2(x) = (b) What is the Taylor polynomial of degree 3 for g near 3? P3(x) = (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(2.9). With P2, g(2.9) = With P3, g(2.9)
(a) What is the Taylor polynomial of degree 2 for g near 3? P2(x) = (b) What is the Taylor polynomial of degree 3 for g near 3? P3(x) = (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(2.9). With P2, g(2.9) = With P3, g(2.9)
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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Suppose gg is a function which has continuous derivatives, and that g(3)=1, g′(3)=2, g′′(3)=−3, g′′′(3)=−4
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