Construct the natural cubic spline for the following data. a. X f(x) b. X C. 8.3 8.6 X -0.5 -0.25 0 17.56492 18.50515 f(x) -0.0247500 0.3349375 1.1010000 d. 0.8 1.0 X 0.1 0.2 0.3 0.4 f(x) 0.22363362 0.65809197 f(x) -0.62049958 -0.28398668 0.00660095 0.24842440

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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3.
Construct the natural cubic spline for the following data.
X
f (x)
b.
X
a.
c.
8.3
8.6
X
-0.5
-0.25
0
17.56492
18.50515
f(x)
-0.0247500
0.3349375
1.1010000
d.
0.8
1.0
X
0.1
0.2
0.3
0.4
f(x)
0.22363362
0.65809197
f(x)
-0.62049958
-0.28398668
0.00660095
0.24842440
Transcribed Image Text:3. Construct the natural cubic spline for the following data. X f (x) b. X a. c. 8.3 8.6 X -0.5 -0.25 0 17.56492 18.50515 f(x) -0.0247500 0.3349375 1.1010000 d. 0.8 1.0 X 0.1 0.2 0.3 0.4 f(x) 0.22363362 0.65809197 f(x) -0.62049958 -0.28398668 0.00660095 0.24842440
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