The C notes on a piano (C1- C8) are one octave apart. Their relative frequencies double from one C note to the next.

a. If the frequency of middle C (or C4) is 261.6 cycles per second, and the frequency of C5 is 523.2 cycles per second, find the frequencies of the other C notes.
b. Even though the frequencies of the C notes form a discrete function, you can model it using a continuous explicit function. Write a function model for these notes.

Middle C C-sote number