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Q2) Generate your own Set of data points (x, f(x)) that satisfy and fit the task description and the task conditions. 1. Find all finite divided differences. 2. Write the polynomial in the finalized polynomial format f (x) = a0 + al x+.... +anXn 3. Draw a figure that shows the data points and the interpolation polynomial. 4. Extremely detailed solution should be included that shows the results in detail.

Q2) Generate your own Set of data points (x, f(x)) that satisfy and fit the task description and the task conditions. 1. Find all finite divided differences. 2. Write the polynomial in the finalized polynomial format f (x) = a0 + al x+.... +anXn 3. Draw a figure that shows the data points and the interpolation polynomial. 4. Extremely detailed solution should be included that shows the results in detail.

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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Task Description: Interpolation Task Conditions: Second Order Newton's Polynomial. Q2) Generate your own Set of data points (x, f(x)) that satisfy and fit the task description and the task conditions. 1. Find all finite divided differences. 2. Write the polynomial in the finalized polynomial format f (x) = a0 + al x+... +anXn 3. Draw a figure that shows the data points and the interpolation polynomial. 4. Extremely detailed solution should be included that shows the results in detail.
Transcribed Image Text:Task Description: Interpolation Task Conditions: Second Order Newton's Polynomial. Q2) Generate your own Set of data points (x, f(x)) that satisfy and fit the task description and the task conditions. 1. Find all finite divided differences. 2. Write the polynomial in the finalized polynomial format f (x) = a0 + al x+... +anXn 3. Draw a figure that shows the data points and the interpolation polynomial. 4. Extremely detailed solution should be included that shows the results in detail.
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