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Consider a real-valued base-band signal $x(t)$, band limited to $\text{10 kHz}$. The Nyquist rate for the signal $y\left ( t \right )=x\left ( t \right )x\left ( 1+\dfrac{t}{2} \right )$ is

1. $\text{15 kHz}$
2. $\text{30 kHz}$
3. $\text{60 kHz}$
4. $\text{20 kHz}$
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