8. Economize f(x) = 1 – x + 3² – 2.r³ + xª with a quadratic polynomial over [-1, 1] and determine the error of this economization. Hint: The first five Chebyshev polynomials are: To(x) = 1, T;(x) 2r2 – 1, T3(x) = 4.x³ – 3r, T(x) = 8xª – 8x² +1. = r, T2(x) = %3D %3D %3D

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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8. Economize f(x) = 1 – x + 3² – 2.x³ + xª with a quadratic polynomial over [-1, 1]
and determine the error of this economization.
Hint: The first five Chebyshev polynomials are: To(x)
2.a2 – 1, T3(x) = 4x³ – 3r, T4(x) = 8x*
= 1, T1(x) :
= x, T2(x) =
- 82? + 1.
Transcribed Image Text:8. Economize f(x) = 1 – x + 3² – 2.x³ + xª with a quadratic polynomial over [-1, 1] and determine the error of this economization. Hint: The first five Chebyshev polynomials are: To(x) 2.a2 – 1, T3(x) = 4x³ – 3r, T4(x) = 8x* = 1, T1(x) : = x, T2(x) = - 82? + 1.
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