For the given functions f(x), let x, = 1,x1 = 1.25, and x, = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f(1.4), and find the absolute error. a. f(x) = sin 7x b. f(x) = Vx -1 c. f(x) = log,,(3x – 1) f(x) = &* – x %3D d.
For the given functions f(x), let x, = 1,x1 = 1.25, and x, = 1.6. Construct interpolation polynomials of degree at most one and at most two to approximate f(1.4), and find the absolute error. a. f(x) = sin 7x b. f(x) = Vx -1 c. f(x) = log,,(3x – 1) f(x) = &* – x %3D d.
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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Transcribed Image Text:2. For the given functions f (x), let x, = 1,x = 1.25, and x2 = 1.6. Construct interpolation polynomials
of degree at most one and at most two to approximate f(1.4), and find the absolute error.
a. f(x) = sin 7 x
c. f(x) = log10(3x – 1)
d. f(x) = e – x
b. f(x) = Vx – I
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