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USING MATLAB The following table lists data for the function f(x) = e0.1x². Approximate f(1.25) by using H5(1.25) and H3 (1.25), where H5 uses the nodes xo = 1, x₁ = 2, and X2 3; and H₂ uses the nodes xo 1 and xo = 1.5. f(x) = 0.1x² 1.105170918 1.252322716 = x 1 1.5 2 3 1.491824698 2.459603111 f'(x) = 0.2xe 0.1x² 0.2210341836 0.3756968148 0.5967298792 1.475761867

USING MATLAB The following table lists data for the function f(x) = e0.1x². Approximate f(1.25) by using H5(1.25) and H3 (1.25), where H5 uses the nodes xo = 1, x₁ = 2, and X2 3; and H₂ uses the nodes xo 1 and xo = 1.5. f(x) = 0.1x² 1.105170918 1.252322716 = x 1 1.5 2 3 1.491824698 2.459603111 f'(x) = 0.2xe 0.1x² 0.2210341836 0.3756968148 0.5967298792 1.475761867

Advanced Engineering Mathematics
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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**Using MATLAB** The following table lists data for the function \( f(x) = e^{0.1x^2} \). Approximate \( f(1.25) \) by using \( H_5(1.25) \) and \( H_3(1.25) \), where \( H_5 \) uses the nodes \( x_0 = 1 \), \( x_1 = 2 \), and \( x_2 = 3 \); and \( H_3 \) uses the nodes \( x_0 = 1 \) and \( x_0 = 1.5 \). | \( x \) | \( f(x) = e^{0.1x^2} \) | \( f'(x) = 0.2xe^{0.1x^2} \) | | --- | --- | --- | | 1 | 1.105170918 | 0.2210341836 | | 1.5 | 1.252322716 | 0.3756968148 | | 2 | 1.491824698 | 0.5967298792 | | 3 | 2.459603111 | 1.475761867 |
Transcribed Image Text:**Using MATLAB** The following table lists data for the function \( f(x) = e^{0.1x^2} \). Approximate \( f(1.25) \) by using \( H_5(1.25) \) and \( H_3(1.25) \), where \( H_5 \) uses the nodes \( x_0 = 1 \), \( x_1 = 2 \), and \( x_2 = 3 \); and \( H_3 \) uses the nodes \( x_0 = 1 \) and \( x_0 = 1.5 \). | \( x \) | \( f(x) = e^{0.1x^2} \) | \( f'(x) = 0.2xe^{0.1x^2} \) | | --- | --- | --- | | 1 | 1.105170918 | 0.2210341836 | | 1.5 | 1.252322716 | 0.3756968148 | | 2 | 1.491824698 | 0.5967298792 | | 3 | 2.459603111 | 1.475761867 |
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