sin(0.7z). 3) Find the Taylor polynomial T(z) for having 3 nonzero terms sin(0.7z) = T(z) = 14 sin(0.7z) 4) Using the resulte of 3), estimate sin(0.7z) -dr 1.4 1.4 | T(z)dz =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Plz solve only part (3) and (4) 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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