Consider the function f defined on the interval (0, L] as 2, -{ 4 f(x) =...

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Consider the function f defined on the interval (0, L] as 2, -{ 4 f(x) = ao 2 1. Graph the function fodd, the odd extension to the interval [-L, L] of function f. (Label your axes.) 2. Find the Fourier series expansion of fodd, the odd extension of f. n= x 0, (0,1), [2/3,4]. L x E Simplify your answers. Recall, the Fourier series 9F (x) of a function g(x) defined on an interval [-L, L] is given by 9F(x) an COS Cos (172) L + bn sin L :)) Consider the function f defined on the interval (0, L] as 2, -{ 4 f(x) = ao 2 1. Graph the function fodd, the odd extension to the interval [-L, L] of function f. (Label your axes.) 2. Find the Fourier series expansion of fodd, the odd extension of f. n= x 0, (0,1), [2/3,4]. L x E Simplify your answers. Recall, the Fourier series 9F (x) of a function g(x) defined on an interval [-L, L] is given by 9F(x) an COS Cos (172) L + bn sin L :))

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