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Calculus In Exercises 7784, find the orthogonalprojection

Chapter 5, Problem 5.2.78

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QUESTION:

Calculus In Exercises 7784, find the orthogonalprojection of f onto g. Use the inner product in C[a, b] f, g = baf(x)g(x) dx.C[1, 1], f(x) = x3 x, g(x) = 2x 1

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QUESTION:

Calculus In Exercises 7784, find the orthogonalprojection of f onto g. Use the inner product in C[a, b] f, g = baf(x)g(x) dx.C[1, 1], f(x) = x3 x, g(x) = 2x 1

ANSWER:

Step 1 of 3

We have to find the orthogonal projection of  onto .

We have to use the inner product in

We are given that

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