2. What is the approximated interpolated value of f(x) = ex/² when x = following data? Use the following polynomials for the approximation x f(x) 1 1.6487 1.5 2.1170 2 2.7183 2.5 3.4903 a. Linear Newton's Backward Difference Polynomial b. Cubic Newton's Backward Difference Polynomial c. Quadratic Newton's Forward Difference Polynomial using the 1.25

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
Question

x = 1.25

2. What is the approximated interpolated value of f(x) = ex/² when x =
following data? Use the following polynomials for the approximation
x
f(x)
1
1.6487
1.5
2.1170
2
2.7183
2.5
3.4903
a. Linear Newton's Backward Difference Polynomial
b. Cubic Newton's Backward Difference Polynomial
c. Quadratic Newton's Forward Difference Polynomial
using the
1.25
Transcribed Image Text:2. What is the approximated interpolated value of f(x) = ex/² when x = following data? Use the following polynomials for the approximation x f(x) 1 1.6487 1.5 2.1170 2 2.7183 2.5 3.4903 a. Linear Newton's Backward Difference Polynomial b. Cubic Newton's Backward Difference Polynomial c. Quadratic Newton's Forward Difference Polynomial using the 1.25
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