91Ó°ÊÓ

Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the functions. Check each using a calculator. $$y=30 \cos \left(\frac{1}{3} x+\frac{\pi}{3}\right)$$

For an alternating-current circuit in which the voltage e is given by \(e=E \cos (\omega t+\phi),\) Sketch two cycles of the voltage as a function of time for the given values. $$E=170 \mathrm{V}, f=60.0 \mathrm{Hz}, \phi=-\pi / 3$$

Give the amplitude and sketch the graphs of the given functions. Check each using a calculator. $$y=\frac{3}{2} \cos x$$

Display the graphs of the given functions on a calculator. $$y=\frac{1}{2} \sin 4 x+\cos 2 x$$

For an alternating-current circuit in which the voltage e is given by \(e=E \cos (\omega t+\phi),\) Sketch two cycles of the voltage as a function of time for the given values. $$E=80 \mathrm{mV}, \omega=377 \mathrm{rad} / \mathrm{s}, \phi=\pi / 2$$

Find the amplitude and period of each function and then sketch its graph. $$y=4 \cos 10 \pi x$$

Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the functions. Check each using a calculator. $$y=-\frac{1}{3} \cos \left(\frac{1}{2} x-\frac{\pi}{8}\right)$$

View at least two cycles of the graphs of the given functions on a calculator. $$y=\tan 2 x$$

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

Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the functions. Check each using a calculator. $$y=-\sin \left(\pi x+\frac{\pi}{8}\right)$$