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
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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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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