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(a) Given Table Q3(a) is a divided-difference table. (i) Determine a, b, c, d, e and f. (ii) Estimate the value of f(1.05) using the Newton's divided-difference method.

(a) Given Table Q3(a) is a divided-difference table. (i) Determine a, b, c, d, e and f. (ii) Estimate the value of f(1.05) using the Newton's divided-difference method.

Advanced Engineering Mathematics
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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Table Q3(a) Xo = 0.5 f[x,]=a f[xp.x, ]= 0.861 f[x9.X,.xz] = f 0.094 x = 0.9 f[x,]=b f[x, ,x,,x,]= -0.207 p=[°r•x]f x2 =1.1 f[x,]=c x3 = 1.5 f[x,]= 0.713
Transcribed Image Text:Table Q3(a) Xo = 0.5 f[x,]=a f[xp.x, ]= 0.861 f[x9.X,.xz] = f 0.094 x = 0.9 f[x,]=b f[x, ,x,,x,]= -0.207 p=[°r•x]f x2 =1.1 f[x,]=c x3 = 1.5 f[x,]= 0.713
(a) Given Table Q3(a) is a divided-difference table. (i) Determine a, b, c, d, e and f. (ii) Estimate the value of f(1.05) using the Newton's divided-difference method.
Transcribed Image Text:(a) Given Table Q3(a) is a divided-difference table. (i) Determine a, b, c, d, e and f. (ii) Estimate the value of f(1.05) using the Newton's divided-difference method.
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