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Submit your excel solutions for each of the following problems. 1. Find the polynomial of degree three for the following data. Also find P(-2). X y 01 4 6 1-1 1-1

Submit your excel solutions for each of the following problems. 1. Find the polynomial of degree three for the following data. Also find P(-2). X y 01 4 6 1-1 1-1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Polynomial Interpolation Assignment Please submit your Excel solutions for each of the following problems. 1. **Find the polynomial of degree three for the following data. Also, find \( P(-2) \)**. | X | 0 | 1 | 4 | 6 | |---|---|---|---|---| | Y | 1 | -1 | 1 | -1 | Given the data points above, use polynomial interpolation to find the polynomial of degree three. Once you have determined the polynomial, evaluate the polynomial at \( x = -2 \) to find \( P(-2) \). ### Instructions: - **Data Points:** Use the given X and Y values in your calculations. - **Polynomial Calculation:** Employ methods such as the Lagrange Interpolating Polynomial or the Newton Polynomial. - **Excel Implementation:** Utilize Excel tools and functions to perform calculations. - **Submission:** Save and submit your Excel file containing the detailed steps and final solutions for the polynomial and \( P(-2) \). If you need any assistance with the methods or calculations, please refer to our [Polynomial Interpolation Guide](#) or contact the instructional team.
Transcribed Image Text:### Polynomial Interpolation Assignment Please submit your Excel solutions for each of the following problems. 1. **Find the polynomial of degree three for the following data. Also, find \( P(-2) \)**. | X | 0 | 1 | 4 | 6 | |---|---|---|---|---| | Y | 1 | -1 | 1 | -1 | Given the data points above, use polynomial interpolation to find the polynomial of degree three. Once you have determined the polynomial, evaluate the polynomial at \( x = -2 \) to find \( P(-2) \). ### Instructions: - **Data Points:** Use the given X and Y values in your calculations. - **Polynomial Calculation:** Employ methods such as the Lagrange Interpolating Polynomial or the Newton Polynomial. - **Excel Implementation:** Utilize Excel tools and functions to perform calculations. - **Submission:** Save and submit your Excel file containing the detailed steps and final solutions for the polynomial and \( P(-2) \). If you need any assistance with the methods or calculations, please refer to our [Polynomial Interpolation Guide](#) or contact the instructional team.
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