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
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
Section4.6: Variation
Problem 2E
Question
x = 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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