Let { cf>ix)} be an orthogonal set offunctions on [a,b] such that cp0(x) = 1 and c/>1(x)

Chapter 12, Problem 16

(choose chapter or problem)

Let { cf>ix)} be an orthogonal set offunctions on [a,b] such that cp0(x) = 1 and c/>1(x) = x. Show that S: (ax+ {3)cf>ix) dx = 0 for n = 2, 3, ... and any constants a and {3.

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