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1) Find the Taylor polynomial of degree 5 for sin(z) sin(z) = 2) Find the Taylor polynomial of degree 5 for sin(0.7z) sin(0.7z)

1) Find the Taylor polynomial of degree 5 for sin(z) sin(z) = 2) Find the Taylor polynomial of degree 5 for sin(0.7z) sin(0.7z)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Plz solve only part (1) and (2) within 30-40 mins I'll give you multiple upvote
14 gin(0.7%) dr. Use a Taylor polynomial with 3 nonzero terms to estimate 1) Find the Taylor polynomial of degree 5 for sin(z) sin(z) 2) Find the Taylor polynomial of degree 5 for sin(0.7z) sin(0.7z) sin(0.7z). 3) Find the Taylor polynomial T(z) for having 3 nonzero terms sin(0.7z) = T(1) = %3D 14 sin(0.7z) 1.4 4) Using the resulte of 3), estimate 0. 14 sin(0.7z) -dr = 1.4 T(z)dz = 5) Now estimate the error bound of the approximation. | error | S
Transcribed Image Text:14 gin(0.7%) dr. Use a Taylor polynomial with 3 nonzero terms to estimate 1) Find the Taylor polynomial of degree 5 for sin(z) sin(z) 2) Find the Taylor polynomial of degree 5 for sin(0.7z) sin(0.7z) sin(0.7z). 3) Find the Taylor polynomial T(z) for having 3 nonzero terms sin(0.7z) = T(1) = %3D 14 sin(0.7z) 1.4 4) Using the resulte of 3), estimate 0. 14 sin(0.7z) -dr = 1.4 T(z)dz = 5) Now estimate the error bound of the approximation. | error | S
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