Following Example 2.30, consider x(t) = 2 cos (52t) Find x (t), x p (t), x (t),

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Following Example 2.30, consider

x(t) = 2 cos (52πt)

Find x̂ (t), xp (t), x̃ (t), xR (t), and xI (t) for the following cases: 

(a) f0 = 25 Hz; 

(b) f0 = 27 Hz; 

(c) f0 = 10 Hz; 

(d) f0 = 15 Hz; 

(e) f0 = 30 Hz; 

(f) f0 = 20 Hz.

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