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The space is C[0,2] with the inner product f,g=02f(t)g(t)dt. Find the third-order Fourier approximation to f(t)=6t. The third-order Fourier approximation of f is (Type an

The space is C[0,2] with the inner product f,g=02f(t)g(t)dt. Find the third-order Fourier approximation to f(t)=6t. The third-order Fourier approximation of f is (Type an exact answer, using as needed.)

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