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Magazine Problem 17
In Exercises 17 and 18 , the air pressure within a plastic container changes above and below the external atmospheric pressure by \(p=p_{0} \sin 2 \pi f t .\) Sketch two cycles of \(p=f(t)\) for the given values. $$p_{0}=2.80 \mathrm{lb} / \mathrm{in} .^{2}, f=2.30 \mathrm{Hz}$$
Problem 17
View at least two cycles of the graphs of the given functions on a calculator. $$y=\frac{1}{2} \sec 3 x$$
Problem 17
Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the functions. Check each using a calculator. $$y=0.08 \cos \left(4 \pi x-\frac{\pi}{5}\right)$$
Problem 18
The air pressure within a plastic container changes above and below the external atmospheric pressure by \(p=p_{0} \sin 2 \pi f t .\) Sketch two cycles of \(p=f(t)\) for the given values. $$p_{0}=45.0 \mathrm{kPa}, f=0.450 \mathrm{Hz}$$
Problem 18
Display the graphs of the given functions on a calculator. $$y=2 \cos 4 x-\cos \left(x-\frac{\pi}{4}\right)$$
Problem 18
Determine the amplitude, period, and displacement for each function. Then sketch the graphs of the functions. Check each using a calculator. $$y=25 \cos \left(3 \pi x+\frac{\pi}{4}\right)$$
Problem 18
Give the amplitude and sketch the graphs of the given functions. Check each using a calculator. $$y=-0.2 \sin x$$
Problem 18
Find the amplitude and period of each function and then sketch its graph. $$y=\frac{1}{3} \cos 0.75 x$$
Problem 18
View at least two cycles of the graphs of the given functions on a calculator. $$y=-0.4 \csc 2 x$$
Problem 19
Find the amplitude and period of each function and then sketch its graph. $$y=0.4 \sin \frac{2 \pi x}{9}$$
