Given a function f(x) = x³e(2-z) cos(2r) and step size Ax = h = 0.1. Between 3-point centered difference and 5-point difference formulae, determine which formula that produce more accurate result if the exact solution for f"(2) is 35.64. Justify your answer.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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Given a function
f(x) = x°e(2-z) cos(2x)
%3D
and step size Ax = h = 0.1. Between 3-point centered difference and 5-point difference
formulae, determine which formula that produce more accurate result if the exact
solution for f"(2) is 35.64. Justify your answer.
Transcribed Image Text:Given a function f(x) = x°e(2-z) cos(2x) %3D and step size Ax = h = 0.1. Between 3-point centered difference and 5-point difference formulae, determine which formula that produce more accurate result if the exact solution for f"(2) is 35.64. Justify your answer.
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