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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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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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