Approximate f (x)= x(2 x) on [2, 2] using a linear
Chapter 6, Problem 6.95(choose chapter or problem)
Approximate f (x)= x(2 x) on [2, 2] using a linear combination of the functions 1, cos(x/2), cos(x), cos(3x/2), sin(x/2), sin(x), and sin(3x/2). Graph f and the approximating function on the same set of axes. Hint: In C[2, 2], project f orthogonally onto the subspace spanned by the given functions. Use the weight function p(x) = 1 in the inner product for this function space.
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