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4. Determine the function using Interpolation. Show the step-by-step process for each interpolation similar to the solution in the lecture notes. Fit the following data points using Lagrange Interpolating polynomial. Show the simplified expression for each Lagrange term only. Determine the function at x = 5.5 x -2 03 f(x) -34 -2 -6.5 7 15.5

4. Determine the function using Interpolation. Show the step-by-step process for each interpolation similar to the solution in the lecture notes. Fit the following data points using Lagrange Interpolating polynomial. Show the simplified expression for each Lagrange term only. Determine the function at x = 5.5 x -2 03 f(x) -34 -2 -6.5 7 15.5

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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4. Determine the function using Interpolation. Show the step-by-step process for each interpolation similar to the solution in the lecture notes. Fit the following data points using Lagrange Interpolating polynomial. Show the simplified expression for each Lagrange term only. Determine the function at x = 5.5 X-2 03 7 f(x) -34 -2 -6.5 15.5 5. Fit the following data points using Newton's Divided Difference Interpolating polynomial. Show the step-by-step divided difference up to the last forward finite divided difference. Do not simplify the final function. Determine the function at x = 9.5 X 0 2 4 6 8 10 12 f(x) 52.698 53.414 49.002 41.718 35.354 35.238 48.234
Transcribed Image Text:4. Determine the function using Interpolation. Show the step-by-step process for each interpolation similar to the solution in the lecture notes. Fit the following data points using Lagrange Interpolating polynomial. Show the simplified expression for each Lagrange term only. Determine the function at x = 5.5 X-2 03 7 f(x) -34 -2 -6.5 15.5 5. Fit the following data points using Newton's Divided Difference Interpolating polynomial. Show the step-by-step divided difference up to the last forward finite divided difference. Do not simplify the final function. Determine the function at x = 9.5 X 0 2 4 6 8 10 12 f(x) 52.698 53.414 49.002 41.718 35.354 35.238 48.234
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