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Find the Lagrange and the Newton forms of the interpolating polynomial for these data: -2 0 1 f(x) 1 -1 Write both polynomials in the form a + bx + cx² to verify that they are identical as functions.

Find the Lagrange and the Newton forms of the interpolating polynomial for these data: -2 0 1 f(x) 1 -1 Write both polynomials in the form a + bx + cx² to verify that they are identical as functions.

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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Q5. Find the Lagrange and the Newton forms of the interpolating polynomial for these data: -2 0 f(x) 1 1 -1 Write both polynomials in the form a + bx + cx² to verify that they are identical as functions.
Transcribed Image Text:Q5. Find the Lagrange and the Newton forms of the interpolating polynomial for these data: -2 0 f(x) 1 1 -1 Write both polynomials in the form a + bx + cx² to verify that they are identical as functions.
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