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Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + c₂x² orthonormal in the interval -1 ≤ x ≤ +1. Part A Determine appropriate values for the constants ao, a₁, and b₁. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. + 1 0 1 √2 √3² 2 -1 b₁ 1 2 ao 1 -1 ao a dx = ao = -1 Orthogonalize function ao to a₁ + b₁x: ao (a₁ + b₁x) dx = a1 = Review | Constants | Periodic Table Next, normalize a₁ + b₁x: 1 (b₁x)²dx: (2a₁) =

Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + c₂x² orthonormal in the interval -1 ≤ x ≤ +1. Part A Determine appropriate values for the constants ao, a₁, and b₁. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. + 1 0 1 √2 √3² 2 -1 b₁ 1 2 ao 1 -1 ao a dx = ao = -1 Orthogonalize function ao to a₁ + b₁x: ao (a₁ + b₁x) dx = a1 = Review | Constants | Periodic Table Next, normalize a₁ + b₁x: 1 (b₁x)²dx: (2a₁) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + C₂x² orthonormal in the interval −1≤ x ≤ +1. Part A Determine appropriate values for the constants ao, a₁, and b₁. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. t 1 0 √2 -1 b₁ ± 2 ao ao a1 ao ao dx Orthogonalize function ao to a₁ + b₁x: 1 [a₁(a₁ + b₁x) dx = -1 || Next, normalize a₁ + b₁x: 1 [(b₁r) ² da b₁ Review | Constants I Periodic Table = (2a₁)=
Transcribed Image Text:Make the three polynomial functions ao, a₁ + b₁x, and a2 + b₂x + C₂x² orthonormal in the interval −1≤ x ≤ +1. Part A Determine appropriate values for the constants ao, a₁, and b₁. Match the items in the left column to the appropriate blanks in the equations on the right. Make certain each equation is complete before submitting your answer. t 1 0 √2 -1 b₁ ± 2 ao ao a1 ao ao dx Orthogonalize function ao to a₁ + b₁x: 1 [a₁(a₁ + b₁x) dx = -1 || Next, normalize a₁ + b₁x: 1 [(b₁r) ² da b₁ Review | Constants I Periodic Table = (2a₁)=
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