Exercise 3.2 Provide an upper bound of the Lagrange interpolation error for the following functions: fi(x) = cosh(2), f2(x)=sinh(x), cos(x) + sin(x), ƒ3 (x) = k =−1+0.5k, k=0,...,4, Xk = −π/2+πk/4, k = 0,...,4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Provide an upper bound of the Lagrange interpolation error for the following functioins (show work)

Exercise 3.2 Provide an upper bound of the Lagrange interpolation error for
the following functions:
fi(x) = cosh(x), f2(x) = sinh(x), xk = −1+0.5k, k = 0,..., 4,
f3(x) = cos(x) + sin(x),
xk =
π/2+πk/4, k = 0,...,4.
Transcribed Image Text:Exercise 3.2 Provide an upper bound of the Lagrange interpolation error for the following functions: fi(x) = cosh(x), f2(x) = sinh(x), xk = −1+0.5k, k = 0,..., 4, f3(x) = cos(x) + sin(x), xk = π/2+πk/4, k = 0,...,4.
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