3. a) Compute the quadratic Taylor polynomial approximation to sin(x) expanded about the point x = T/4. b) Give an upper bound on the error of this Taylor polynomial for x € [0, T/2]. c) Compute the polynomial that interpolates sin(x) at the points x = 0, T1/4, TI/2.

3. a) Compute the quadratic Taylor polynomial approximation to sin(x) expanded about the point x = T/4. b) Give an upper bound on the error of this Taylor polynomial for x € [0, T/2]. c) Compute the polynomial that interpolates sin(x) at the points x = 0, T1/4, TI/2.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.5: Applications Of Inner Product Spaces

Problem 91E

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Question

3. a) Compute the quadratic Taylor polynomial approximation to sin(x) expanded about the point
x = T/4.
b) Give an upper bound on the error of this Taylor polynomial for x e [0, T1/2].
c) Compute the polynomial that interpolates sin(x) at the points x = 0, TT/4, T1/2.

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