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Composing a Signal

1. x(t) is even and real.

2. x(t) has period N=12.

3. $ a_0=4 $

4. $ \frac{1}{4}\int_{0}^{3} |x(t)|^2 = 5 $

Answer

$ x(t)= 4cos(\frac{\pi}{6}t) $

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