1 2. Consider the function defined by f(x) = over [-1, 1]. SET-UP the Lagrange %3D 1+ 12x² polynomial approximation using 11 equally spaced nodes on [–1,1].
1 2. Consider the function defined by f(x) = over [-1, 1]. SET-UP the Lagrange %3D 1+ 12x² polynomial approximation using 11 equally spaced nodes on [–1,1].
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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Answer 2 only
![2. Consider the function defined by f(x)
over [-1, 1]. SET-UP the Lagrange
%3D
1+ 12x²
polynomial approximation using 11 equally spaced nodes on [–1,1].
3. For the following data, x represents year and y is the sheep population. Construct a divided
difference table. Choose an appropriate low-order polynomial and fit using least-squares
criterion of best fit. Graph the model, the data points, and the deviations.
1814
1824
1834
1844
1854
1864
1874
1301
1200
2703
4801
7504
10799
14702](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb0c27eb-72ca-4d9c-a609-eef45526119b%2F85be574a-2d83-4a99-980b-1f7b3f03afef%2F5j4uuah_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Consider the function defined by f(x)
over [-1, 1]. SET-UP the Lagrange
%3D
1+ 12x²
polynomial approximation using 11 equally spaced nodes on [–1,1].
3. For the following data, x represents year and y is the sheep population. Construct a divided
difference table. Choose an appropriate low-order polynomial and fit using least-squares
criterion of best fit. Graph the model, the data points, and the deviations.
1814
1824
1834
1844
1854
1864
1874
1301
1200
2703
4801
7504
10799
14702
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