Let f (x) = x3 − e−x, x0 = 0.5, x1 = 0.7, x2 = 1.0. Find the Lagrange Polynomial, P2(x), of degree at most 2 for f (x) using x0, x1, x2. Evaluate P2(0.8) and compute the actual error |f (0.8) − P2(0.8)|
Let f (x) = x3 − e−x, x0 = 0.5, x1 = 0.7, x2 = 1.0. Find the Lagrange Polynomial, P2(x), of degree at most 2 for f (x) using x0, x1, x2. Evaluate P2(0.8) and compute the actual error |f (0.8) − P2(0.8)|
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Let f (x) = x3 − e−x, x0 = 0.5, x1 = 0.7, x2 = 1.0.
- Find the Lagrange Polynomial, P2(x), of degree at most 2 for f (x) using x0, x1, x2.
- Evaluate P2(0.8) and compute the actual error |f (0.8) − P2(0.8)|
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