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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcbe68ff-8a1b-4462-bed5-a8edbd5e2eb6%2Fea1aab76-5f82-438b-b364-278572981bd6%2Fe6urfen_processed.jpeg&w=3840&q=75)
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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Step 1: Here's how you can construct the natural cubic spline
VIEWStep 2: to construct a cubic polynomial that interpolates
VIEWStep 3: since we only have two data points,we can only custruct
VIEWStep 4: solving these equations simultaneously
VIEWStep 5: we have three data points which means we can construct two cubic polunomials
VIEWStep 6: therefore the first cubic polynomial that interpolates the first two data point
VIEWStep 7: therefore the second cubic polynomial that interpolates the last tow data point
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