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Chapter 4: Problem 107
Describe how to convert an angle in degrees to radians.
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Use a graphing utility to graph each function. Use a viewing rectangle that shows the graph for at least two periods. $$y=\tan 4 x$$
Let \(f(x)=\left\\{\begin{array}{ll}x^{2}+2 x-1 & \text { if } x \geq 2 \\ 3 x+1 & \text { if } x<2\end{array}\right.\) Find \(f(5)-f(-5) . \text { (Section } 1.3, \text { Example } 6)\)
The average monthly temperature, \(y,\) in degrees Fahrenheit, for Juneau, Alaska, can be modeled by \(y=16 \sin \left(\frac{\pi}{6} x-\frac{2 \pi}{3}\right)+40,\) where \(x\) is the month of the year \(\quad\) (January \(=1,\) February \(=2, \ldots\) December \(=12\) ). Graph the function for \(1 \leq x \leq 12 .\) What is the highest average monthly temperature? In which month does this occur?
Use the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and seconds \(\left(D^{\circ} M^{\prime} S^{\prime \prime}\right)\) into decimal form, and vice versa. Convert each angle to \(D^{\circ} M^{\prime} S^{\prime \prime}\) form. Round your answer to the nearest second. $$30.42^{\circ}$$
Use a graphing utility to graph two periods of the function. $$y=3 \sin (2 x+\pi)$$
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