If a string with a fundamental frequency of 110 hertz is plucked in the middle, it will vibrate at the odd harmonics of 110, 330, 550,...hertz but not at the even harmonics of 220, 440, 660,...hertz. The resulting pressure P on the eardrum caused by the string can be approximated using the equation

where P is in pounds per square foot at a time of t seconds after the string is plucked.

(a) Graph P(t) on [0, 0.01].
(b) Find P′(0.002) and interpret.

Transcribed Image Text:

0.003 P(t) = 0.003 sin(220πt) + 3 + 0.003 5 - sin(1100πt) + - sin(660πt) 0.003 7 -sin(1540πt),