Calculate the Taylor polynomials T2(x) and T3(x) centered at a = 9 for f(x) = T: %3D T2(x) must be of the form A + B(x – 9) + C(x – 9)² where A equals: B equals: and C equals: T3(x) must be of the form D+ E(x – 9) + F(x – 9)' + G(x – 9)³ where D equals: E equals: F equals: and G equals:

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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Calculate the Taylor polynomials T2(x) and T3(x) centered at a = 9 for f(x) = T:
T2(x) must be of the form
A + B(x – 9) + C(x – 9)²
where
A equals:
B equals:
and
C equals:
T3(x) must be of the form
D+ E(x – 9) + F(x – 9)2 + G(x - 9)³
where
D equals:
E equals:
F equals:
P and
G equals:
Transcribed Image Text:Calculate the Taylor polynomials T2(x) and T3(x) centered at a = 9 for f(x) = T: T2(x) must be of the form A + B(x – 9) + C(x – 9)² where A equals: B equals: and C equals: T3(x) must be of the form D+ E(x – 9) + F(x – 9)2 + G(x - 9)³ where D equals: E equals: F equals: P and G equals:
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