Chapter 6.4, Problem 18AYU

To determine

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

Answer to Problem 18AYU

  $\begin{array}{l}Amplitude=\frac{4}{3}\\ Period=3\pi \end{array}$

Explanation of Solution

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

  $\begin{array}{l}y=\frac{4}{3}\sin \left(\frac{2}{3}x\right);\\ A=\left|\frac{4}{3}\right|=\frac{4}{3}\\ w=\frac{2}{3}\end{array}$

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

  $T=\frac{2\pi }{\frac{2}{3}}=3\pi$