From we know that f1(x) x and f2(x) x 2 are orthogonal on [2, 2]. Find constants c1 and
Chapter 12, Problem 18(choose chapter or problem)
From Problem 1 we know that \(f_{1}(x)=x\) and \(f_{2}(x)=x^{2}\) are orthogonal on [-2, 2]. Find constants \(c_{1}\) and \(c_{2}\) such that \(f_{3}(x)=x+c_{1} x^{2}+c_{2} x^{3}\) is orthogonal to both \(f_{1}\) and \(f_{2}\) on the same interval.
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