For a given function f(x), the divided -differences table is given by: X, = 1 X, = 2 X, = 3 f[xo] = 0 f[x,] = 7 f[x2] = 26 f[x9,x,] = 7 f[x1,x2] = 19 f[xo,x1, xz] = 6 An approximation of f(2.75)is: O 2 O 4 O 20.125 O 15
For a given function f(x), the divided -differences table is given by: X, = 1 X, = 2 X, = 3 f[xo] = 0 f[x,] = 7 f[x2] = 26 f[x9,x,] = 7 f[x1,x2] = 19 f[xo,x1, xz] = 6 An approximation of f(2.75)is: O 2 O 4 O 20.125 O 15
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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![For a given function f(x), the divided -differences table is given by:
X, = 1
X1 = 2
f[xo] = 0
f[x,] = 7
f[x2] = 26
f [xq, x1] = 7
f[x1, x,] = 19
X2 = 3
f[xo,x1,x2] = 6
An approximation of f(2.75)is:
2
4
20.125
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdfbeb193-2ef1-4279-ae59-2d676a5f5fe4%2F6365207d-71b6-44b5-a22e-9e4d48bc0148%2F39gk4u8_processed.png&w=3840&q=75)
Transcribed Image Text:For a given function f(x), the divided -differences table is given by:
X, = 1
X1 = 2
f[xo] = 0
f[x,] = 7
f[x2] = 26
f [xq, x1] = 7
f[x1, x,] = 19
X2 = 3
f[xo,x1,x2] = 6
An approximation of f(2.75)is:
2
4
20.125
15
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