•Use the Newton backward-difference fomula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. f(-1/3) if f(-0.75) = -0.07181250, f(-0.5) = –0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 f(0.25) if ƒ (0.1) = –0.62049958, ƒ (0.2) a. b. = -0.28398668, ƒ (0.3) = 0.00660095, ƒ (0.4) = 0.24842440

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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q5 plz solve part b step by step asap

-1.0526302
5. Use the Newton backward-difference formula to construct interpolating polynomials of degree one,
two, and three for the following data. Approximate the specified value using each of the polynomials.
f(-1/3) if f(-0.75) = -0.07181250, ƒ(-0.5) = -0.02475000, ƒ (-0.25) = 0.33493750,
f(0) = 1.10100000
а.
b.
f(0.25) if f (0.1) = -0.62049958, ƒ (0.2) = –0.28398668, ƒ (0.3) = 0.00660095, f (0.4) =
||
0.24842440
Transcribed Image Text:-1.0526302 5. Use the Newton backward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. f(-1/3) if f(-0.75) = -0.07181250, ƒ(-0.5) = -0.02475000, ƒ (-0.25) = 0.33493750, f(0) = 1.10100000 а. b. f(0.25) if f (0.1) = -0.62049958, ƒ (0.2) = –0.28398668, ƒ (0.3) = 0.00660095, f (0.4) = || 0.24842440
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