For a given function f(x), the divided-differences table is given by: Xo = 0 X₁ = 1 X₂ = 2 X3 = 4 The values of a is: 0-7 19 22 9 f[xo] = a f[x₂] = b f[x₂] = 25 ƒ[x3] =113 f[x0, x₁] = 12 f[x₁, x₂]=c f[x2, x3] = 44 f[x0, x₁, x₂] = d f[x1.x2, x3] = 8 f[xo.x₁.x2, x3] =1

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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For a given function f(x), the divided-differences table is given by:
Xo = 0
X₁ = 1
X₂ = 2
X3 = 4
The values of a is:
0-7
19
22
9
f[xo] = a
f[x₂] = b
f[x₂] = 25
f[x3] =113
f[x0, x₁] = 12
f[x₁, x₂] =c
f[x2, x3] = 44
f[xo.x₁, x₂] = d
f[x1.x2, x3]=8
f[xo. x₁, x₂, x3] = 1
Transcribed Image Text:For a given function f(x), the divided-differences table is given by: Xo = 0 X₁ = 1 X₂ = 2 X3 = 4 The values of a is: 0-7 19 22 9 f[xo] = a f[x₂] = b f[x₂] = 25 f[x3] =113 f[x0, x₁] = 12 f[x₁, x₂] =c f[x2, x3] = 44 f[xo.x₁, x₂] = d f[x1.x2, x3]=8 f[xo. x₁, x₂, x3] = 1
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