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An instrument plays 3 notes in a row, 500 Hz, 2000 Hz and 4000 Hz. We...

An instrument plays 3 notes in a row, 500 Hz, 2000 Hz and 4000 Hz. We pick up the notes by sampling them on 6000 Hz use a perfect loew pass filter with cut off frequencty in the Nyquist frequency.
1. What is the Nyquist frequency?
2. At what frequency will the notes be played after the sampling?

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