Question

Please show problem 3.24

3.23. Create a graph of the energy spectrum of f(x) =x on [-T,T], which has been computed in Example 3.1. 3.24. Consider f(x) = x on [0, π] and its even extension fEVEN (x) = 1x1 to [-π, π]. Create a graph of the energy spectrum of fevEN(x). Compare this spectrum with that in the previous Problem 3.23. Which spectrum has more energy at higher frequencies? Lower frequencies? Example 3.1 (Fourier Series Example 1). Consider the simple function f(x) - x on [-1,1]. Using the Fourier coefficient formulas for domains [-L,L], with L-1 (3.12- 3.14), we compute ao = 극 / , xatx = 0 (x is an odd function), x cos(n an = -1 x)dx = 0 (x is an odd function),

Answer 1

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