Consider the functions fi(x) = x and f2(x) = 5-9cx on the interval [0, 1]. (a) Find the value of the constant c so that fi and f2 are orthogonal on [0, 1]. (b) Using the value of the constant c from part (a), find the norm of f2 on the interval [0, 1].

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the functions f(x) = x and f₂(x) = 5-9cx on the interval [0, 1].
(a) Find the value of the constant c so that fi and f2 are orthogonal on [0, 1].
(b) Using the value of the constant c from part (a), find the norm of f2 on the interval [0, 1].
Transcribed Image Text:Consider the functions f(x) = x and f₂(x) = 5-9cx on the interval [0, 1]. (a) Find the value of the constant c so that fi and f2 are orthogonal on [0, 1]. (b) Using the value of the constant c from part (a), find the norm of f2 on the interval [0, 1].
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