Consider the function f(t) = 0.01e" for 0 ≤ t ≤). (a) Sketch the even extension, feven, and the odd extension fodd of the function f(t) over the range -3 ≤ t ≤ 3, clearly indicating each case. (b) Now consider the function g(t) = feven (t) + fodd (t), which has Fourier series G(t) given by G(t) = A + Σ An cos(nat) + Σ Β, sin(nat). A₁, n=1 n=1 Calculate the constant term Ao.

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