Answer the following questions.

An Application CLASSROOM EXAMPLE 5 Analyzing Pressures of Upper Harmonics Suppose that the A key above middle C is played on a piano. Its fundamental frequency is J, =440 Hz, and its associated pressure is expressed as =0.002sin 8807t The string will also vibrate at f, =880, f, =1320, f, =1760, f, =2200,... Hz. The corresponding pressures of these upper harmonics are as follows. p= 0092 i 160mr, B = 2222 gin 2640 '{ . . . P, = 0 ;0251113520m, and P, = B sin 44007z The graph of P=P+P,+P,+P+P, shown in the figure, is \"saw-toothed.\" 0 o0t (a) Approximate the minimum value of P. (b) At what values of 1 = x does this minimum occur over the interval [0, 0.01]