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QUESTIC Given the following data: -2 y-20-10 I -1 0 7 2 4 6 -8-4 40 172 286 i) State what should be done to the data if Newton forward difference is used to obtain interpolation polynomial for the above data. ii) Hence, by using all relevant data, find the interpolation polynomial of the above data using Newton forward difference and express the interpolation in form of Pn(x) = A₁x" + A₂x-1 + ... + An-12 + An. iii) State the degree of interpolation polynomial obtained in (ii).

QUESTIC Given the following data: -2 y-20-10 I -1 0 7 2 4 6 -8-4 40 172 286 i) State what should be done to the data if Newton forward difference is used to obtain interpolation polynomial for the above data. ii) Hence, by using all relevant data, find the interpolation polynomial of the above data using Newton forward difference and express the interpolation in form of Pn(x) = A₁x" + A₂x-1 + ... + An-12 + An. iii) State the degree of interpolation polynomial obtained in (ii).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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QUESTION 2 Given the following data: I y 7 -1 0 2 4 6 -20-10-8-4 40 172 286 -2 i) State what should be done to the data if Newton forward difference is used to obtain interpolation polynomial for the above data. ii) Hence, by using all relevant data, find the interpolation polynomial of the above data using Newton forward difference and express the interpolation in form of Pn(x) = A₁x" + A₂x-¹ + + An-12 + An. iii) State the degree of interpolation polynomial obtained in (ii).
Transcribed Image Text:QUESTION 2 Given the following data: I y 7 -1 0 2 4 6 -20-10-8-4 40 172 286 -2 i) State what should be done to the data if Newton forward difference is used to obtain interpolation polynomial for the above data. ii) Hence, by using all relevant data, find the interpolation polynomial of the above data using Newton forward difference and express the interpolation in form of Pn(x) = A₁x" + A₂x-¹ + + An-12 + An. iii) State the degree of interpolation polynomial obtained in (ii).
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