Chapter 6.4, Problem 14AYU

To determine

To calculate: the value of the amplitude and the period.

Answer to Problem 14AYU

  $\begin{array}{l}Amplitude=1\\ Period=4\pi \end{array}$

Explanation of Solution

Calculate the amplitude A and $W:y=A\sin wx$ .

  $\begin{array}{l}y=-\sin (\frac{1}{2}x);\\ A=|-1|=1\\ w=\frac{1}{2}\end{array}$

To calculate period, this formula must be used $T=\frac{2\pi }{w}$

  $T=\frac{2\pi }{\frac{1}{2}}=4\pi$