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(a) How far, and in what direction, should a cellist move her finger to adjust a string's tone from an out-of-tune 449 Hz to an in-tune 440 Hz? The string is 68.0 cm long, and the finger is 20.0 cm from the nut for the 449-Hz tone.

(b) what is the fundamental frequency of the string (i.e. the frequency once she removes her finger from the string and it vibrates over its full length)?

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