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].

Consider the functions and on the interval .(a) Find the value of the constant so that and are…

Answered: Consider the functions fi(x) = x and…

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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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].