91Ó°ÊÓ

View at least two cycles of the graphs of the given functions on a calculator. $$y=\tan \left(3 x-\frac{\pi}{2}\right)$$

Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the functions. Check each using a calculator. $$y=40 \cos (3 \pi x+1)$$

Sketch the required curves. Sketch two cycles of the radio signal \(e=0.014 \cos (2 \pi f t+\pi / 4)\) \((e \text { in volts, } f \text { in hert } z, \text { and } t\) in seconds) for a station broadcasting with $$f=950 \mathrm{kHz}$$ ("95" on the AM radio dial).

Find the amplitude and period of each function and then sketch its graph. $$y=3.3 \cos \pi^{2} x$$

$$\text {Plot the Lissajous figures.}$$ $$x=8 \cos t, y=5 \sin t$$

Give the amplitude and sketch the graphs of the given functions. Check each using a calculator. $$y=-50 \cos x$$

View at least two cycles of the graphs of the given functions on a calculator. $$y=18 \csc \left(3 x-\frac{\pi}{3}\right)$$

View at least two cycles of the graphs of the given functions on a calculator. $$y=12 \sec \left(2 x+\frac{\pi}{4}\right)$$

Find the amplitude and period of each function and then sketch its graph. $$y=-12.5 \sin \frac{2 x}{\pi}$$

Sketch the required curves. Sketch two cycles of the acoustical intensity \(I\) of the sound wave for which \(I=A \cos (2 \pi f t-\phi),\) given that \(t\) is in seconds, \(A=0.027 \mathrm{W} / \mathrm{cm}^{2}, f=240 \mathrm{Hz},\) and \(\phi=0.80\)