Find the interpolating polynomial of the following point and function using Newton's interpolation process. 1. (-2,0), (-1,2), (0,3), (1,3) and (2,-1). 2. y = ln ( x + 2 ) at x = [-1,2]. B. Find the interpolating polynomial of the following point and function using Lagrange interpolation process. 1. (-3,0), (-1,2), (0,-2), (1,3) and (3,-1). 2. y = cos ( 2x ) at x = [0,π] with four equally spaced points.

Find the interpolating polynomial of the following point and function using Newton's interpolation process. 1. (-2,0), (-1,2), (0,3), (1,3) and (2,-1). 2. y = ln ( x + 2 ) at x = [-1,2]. B. Find the interpolating polynomial of the following point and function using Lagrange interpolation process. 1. (-3,0), (-1,2), (0,-2), (1,3) and (3,-1). 2. y = cos ( 2x ) at x = [0,π] with four equally spaced points.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 67E

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Question

A. Find the interpolating polynomial of the following point and function using Newton's interpolation process.
1. (-2,0), (-1,2), (0,3), (1,3) and (2,-1).

2. y = ln ( x + 2 ) at x = [-1,2].

B. Find the interpolating polynomial of the following point and function using Lagrange interpolation process.
1. (-3,0), (-1,2), (0,-2), (1,3) and (3,-1).

2. y = cos ( 2x ) at x = [0,π] with four equally spaced points.

C. Find the interpolating polynomial of the following function using Direct Fit Polynomials.

1. y = exp( 2-x ) at x = [-1,2].

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