4 Let po, p₁, and p2 be the orthogonal polynomials described below, where the inner product on P is given by evaluation at −2, − 1, 0, 1, and 2. Find the orthogonal projection of t³ onto Span{p.P₁,P2}- Po(t) = 4 P1(t) = 3t P2(t)=2-2 The orthogonal projection of t³ onto Span{P0, P1, P2} is (Simplify your answer.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.3: The Exponential Distribution
Problem 3P
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Let po, p₁, and p2 be the orthogonal polynomials described below, where the inner product on P is given by evaluation at −2, − 1, 0, 1, and 2. Find the orthogonal projection of t³ onto Span{p.P₁,P2}-
Po(t) = 4
P1(t)
= 3t
P2(t)=2-2
The orthogonal projection of t³ onto Span{P0, P1, P2} is
(Simplify your answer.)
Transcribed Image Text:4 Let po, p₁, and p2 be the orthogonal polynomials described below, where the inner product on P is given by evaluation at −2, − 1, 0, 1, and 2. Find the orthogonal projection of t³ onto Span{p.P₁,P2}- Po(t) = 4 P1(t) = 3t P2(t)=2-2 The orthogonal projection of t³ onto Span{P0, P1, P2} is (Simplify your answer.)
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