Chapter 5.4, Problem 51PE

(a)

To determine

The function as a product of factors for $k=1$ by using the sum product formula. If the sound wave generated by the note, middle C, on a piano is modeled by $y_C=K\sin 524\pi t$ , the sound wave for A above middle C is modeled by $y_A=K\sin 880\pi t$ , and cord C-A is represented by $y=k\left(\sin 524\pi t+\sin 880\pi t\right)$ , where $k$ is the amplitude.

(b)

To determine

To graph: The function, $y=\sin 524\pi t+\sin 880\pi t$ , by viewing the window, $\left[0,0.01,0.001\right]$ , by $\left[-2,2,1\right]$ .