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3. Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degree one, two, and three to approximate each of the following: (a) f(8.4) if f(8.1) = 16.94410, ƒ(8.3) = 17.56492, ƒ(8.6) = 18.50515, ƒ(8.7) = 18.82091 (b) f() if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 (c) f(0.25) if f(0.1) = 0.62049958, f(0.2) = -0.28398668, ƒ(0.3) = 0.00660095, f(0.4) = 0.24842440 (d) f(0.9) if f(0.6) = -0.17694460, ƒ(0.7) = 0.01375227, f(0.8) = 0.22363362, f(1.0) = 0.65809197

3. Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degree one, two, and three to approximate each of the following: (a) f(8.4) if f(8.1) = 16.94410, ƒ(8.3) = 17.56492, ƒ(8.6) = 18.50515, ƒ(8.7) = 18.82091 (b) f() if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 (c) f(0.25) if f(0.1) = 0.62049958, f(0.2) = -0.28398668, ƒ(0.3) = 0.00660095, f(0.4) = 0.24842440 (d) f(0.9) if f(0.6) = -0.17694460, ƒ(0.7) = 0.01375227, f(0.8) = 0.22363362, f(1.0) = 0.65809197

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 10RP
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please answer a-d handwritten with the work if posssible and please do not use chat gpt. Thank You !

3. Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degree one, two, and three to approximate each of the following: (a) f(8.4) if f(8.1) = 16.94410, ƒ(8.3) = 17.56492, ƒ(8.6) = 18.50515, ƒ(8.7) = 18.82091 (b) f() if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 (c) f(0.25) if f(0.1) = 0.62049958, f(0.2) = -0.28398668, ƒ(0.3) = 0.00660095, f(0.4) = 0.24842440 (d) f(0.9) if f(0.6) = -0.17694460, ƒ(0.7) = 0.01375227, f(0.8) = 0.22363362, f(1.0) = 0.65809197
Transcribed Image Text:3. Use Neville's method to obtain the approximations for Lagrange interpolating polynomials of degree one, two, and three to approximate each of the following: (a) f(8.4) if f(8.1) = 16.94410, ƒ(8.3) = 17.56492, ƒ(8.6) = 18.50515, ƒ(8.7) = 18.82091 (b) f() if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 (c) f(0.25) if f(0.1) = 0.62049958, f(0.2) = -0.28398668, ƒ(0.3) = 0.00660095, f(0.4) = 0.24842440 (d) f(0.9) if f(0.6) = -0.17694460, ƒ(0.7) = 0.01375227, f(0.8) = 0.22363362, f(1.0) = 0.65809197
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