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2. Given the following data: X -20 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial interpolation for the given data can be written in the form of P₁(x) = Ax² + Bx³ +Cx² + Dx+E where A, B, C, D and E are constants. i. ii. Find the value of A, B, C, D and E. (Do your calculation in two decimal places) State the degree of polynomial P₁(x)

2. Given the following data: X -20 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial interpolation for the given data can be written in the form of P₁(x) = Ax² + Bx³ +Cx² + Dx+E where A, B, C, D and E are constants. i. ii. Find the value of A, B, C, D and E. (Do your calculation in two decimal places) State the degree of polynomial P₁(x)

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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Q2  Numerical Methods

2. Given the following data: X -2 0 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial interpolation for the given data can be written in the form of P₁(x) = Ax¹ + Bx³ +Cx² +Dx+ E where A, B, C, D and E are constants. i. Find the value of A, B, C, D and E. (Do your calculation in two decimal places) ii. State the degree of polynomial P(x)
Transcribed Image Text:2. Given the following data: X -2 0 12 4 f(x) -11 1 -2 5 97 Newton divided difference polynomial interpolation for the given data can be written in the form of P₁(x) = Ax¹ + Bx³ +Cx² +Dx+ E where A, B, C, D and E are constants. i. Find the value of A, B, C, D and E. (Do your calculation in two decimal places) ii. State the degree of polynomial P(x)
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