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 = In ( 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 = [0,1] 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].
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 = In ( 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 = [0,1] 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].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
Related questions
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![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 = In ( 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,rt] 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].
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35456584-a284-42a3-9b04-ad48af5398cd%2F1cfa9072-b247-4cad-a048-c46e2f21a27f%2Fpfrt0a_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 = In ( 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,rt] 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].
%3D
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