Musicians need to be able to discern frequencies which are quite near each other. Assume that the average musician can differentiate between frequencies that vary by only 0.6%. This corresponds to about 1/10 of the frequency difference between neighboring notes in the middle of the piano keyboard.

50% Part (a) What is the closest lower frequency, in hertz, to 495 Hz that a musician can clearly distinguish as being different in frequency from 495 Hz?

50% Part (b) What is the closest higher frequency, in hertz, to 495 Hz that a musician can clearly distinguish as being different in frequency from 495 Hz?