91Ó°ÊÓ

A satellite is orbiting the earth such that its displacement D north of the equator (or south if \(D<0\) ) is given by \(D=A \sin (\omega t+\alpha) .\) Sketch two cycles of \(D\) as a function of t for the given values. $$A=500 \mathrm{mi}, \omega=3.60 \mathrm{rad} / \mathrm{h}, \alpha=0$$

Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the ficnctions. Check each using a calculator. $$y=0.2 \sin \left(2 x+\frac{\pi}{2}\right)$$

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

A satellite is orbiting the earth such that its displacement \(D\) north of the equator (or south if \(D < 0\) ) is given by \(D=A \sin (\omega t+\alpha) .\) Sketch two cycles of \(D\) as a function of t for the given values. $$A=850 \mathrm{km}, f=1.6 \times 10^{-4} \mathrm{Hz}, \alpha=\pi / 3$$

find the period of each function. $$y=-\frac{1}{5} \sin 5 x$$

Sketch the graphs of the given functions. Check each using a calculator. \(y=15 \sin x\)

Sketch the curves of the given functions by addition of ordinates. $$y=\sin x+\sin 2 x$$

Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the ficnctions. Check each using a calculator. $$y=-\cos (2 x-\pi)$$

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

Sketch the graphs of the given functions. Check each using a calculator. \(y=\frac{5}{2} \sin x\)