Question

Prove the Lagrange interpolating polynomial of second degree for data of (0,1), (1,2) and (4,2) is P2(x) = -1/4x^2 + 5/4x + 1. If then, one data points (5,3) are added to the previous data, find the new Lagrange interpolating polynomials without solving it.

          Prove the Lagrange interpolating polynomial of second degree for data of (0,1), (1,2) and (4,2) is P2(x) = -1/4x^2 + 5/4x + 1.
If then, one data points (5,3) are added to the previous data, find the new Lagrange interpolating polynomials without solving it.

Prove the Lagrange interpolating polynomial of second degree for data of (0,1), (1,2) and (4,2) is P2(x) = -1/4x^2 + 5/4x + 1.
If then, one data points (5,3) are added to the previous data, find the new Lagrange interpolating polynomials without solving it.

Added by Kimberly P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

02/16/2023

Step 1

Step 1: Identify the given data points for the Lagrange interpolating polynomial of second degree: (0,1), (1,2), and (4,2). Show more…

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Prove the Lagrange interpolating polynomial of second degree for data of (0,1), (1,2) and (4,2) is P2(x) = -1/4x^2 + 5/4x + 1. If then, one data points (5,3) are added to the previous data, find the new Lagrange interpolating polynomials without solving it.