P13.25 Make the three polynomial functions ao, a₁ + b₁x, and a₂ + b₂x + c₂x² orthonormal in the interval -1 ≤x≤ +1 by determining appropriate values for the constants ao, a₁, b₁, a2, b2, and c2.

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I first set up the conditions for the functions to be orthogonal and then normalized. I have a set of equations but some of my values are wrong. Please help me check my answers.

P13.25 Make the three polynomial functions ao, a₁ +
b₁x, and a₂ + b₂x + c₂x² orthonormal in the interval
-1 ≤x≤ +1 by determining appropriate values for the
constants ao, a₁, b₁, a2, b2, and c₂.
Transcribed Image Text:P13.25 Make the three polynomial functions ao, a₁ + b₁x, and a₂ + b₂x + c₂x² orthonormal in the interval -1 ≤x≤ +1 by determining appropriate values for the constants ao, a₁, b₁, a2, b2, and c₂.
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