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Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: a. f(0.43) if f(0) = 1, ƒ(0.25) = 1.64872, ƒ(0.5) = 2.71828, ƒ(0.75) = 4.48169 f(0) if f(-0.5) = 1.93750, f(-0.25) = 1.33203, f(0.25) = 0.800781, f(0.5) = 0.687500

Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: a. f(0.43) if f(0) = 1, ƒ(0.25) = 1.64872, ƒ(0.5) = 2.71828, ƒ(0.75) = 4.48169 f(0) if f(-0.5) = 1.93750, f(-0.25) = 1.33203, f(0.25) = 0.800781, f(0.5) = 0.687500

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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Hi could you solve part a and part b

 

Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: a. f(0.43) if f(0) = 1, ƒ(0.25) = 1.64872, ƒ(0.5) = 2.71828, ƒ(0.75) = 4.48169 f(0) if f(-0.5) = 1.93750, f(-0.25) = 1.33203, f(0.25) = 0.800781, f(0.5) = 0.687500
Transcribed Image Text:Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degrees one, two, and three to approximate each of the following: a. f(0.43) if f(0) = 1, ƒ(0.25) = 1.64872, ƒ(0.5) = 2.71828, ƒ(0.75) = 4.48169 f(0) if f(-0.5) = 1.93750, f(-0.25) = 1.33203, f(0.25) = 0.800781, f(0.5) = 0.687500
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