91Ó°ÊÓ

Identify the damping factor \(f(x)\) for the damped wave. Sketch graphs of \(y=\pm f(x)\) and the equation on the same coordinate plane for \(-2 \pi \leq x \leq 2 \pi\) $$y=e^{-x^{4}} \sin 4 x$$

Identify the damping factor \(f(x)\) for the damped wave. Sketch graphs of \(y=\pm f(x)\) and the equation on the same coordinate plane for \(-2 \pi \leq x \leq 2 \pi\) $$y=3^{-x / 3} \cos 2 x$$

Find the exact values of the six trigonometric functions of \(\boldsymbol{\theta}\) if \(\boldsymbol{\theta}\) is in standard position and \(P\) is on the terminal side. $$P(-1,2)$$

Graph the function \(f\) on \([-\pi, \pi],\) and estimate the high and low points. $$f(x)=\cos 2 x+2 \sin 4 x-\sin x$$

Graph the equation, and estimate the values of \(x\) in the specified interval that correspond to the given value of \(y\) $$y=\sin \left(x^{2}\right), \quad[-\pi, \pi] ; \quad y=0.5$$

Find the exact values of the six trigonometric functions of \(\boldsymbol{\theta}\) if \(\boldsymbol{\theta}\) is in standard position and the terminal side of \(\boldsymbol{\theta}\) is in the specified quadrant and satisfles the given condition. II; on the line \(y=-4 x\)

Graph the equation, and estimate the values of \(x\) in the specified interval that correspond to the given value of \(y\) $$y=\tan (\sqrt{x}), \quad[0,25] ; \quad y=5$$

Graph the function \(f\) on \([-\pi, \pi],\) and estimate the high and low points. $$f(x)=\tan \frac{1}{4} x-2 \sin 2 x$$

Find the exact values of the six trigonometric functions of \(\boldsymbol{\theta}\) if \(\boldsymbol{\theta}\) is in standard position and the terminal side of \(\boldsymbol{\theta}\) is in the specified quadrant and satisfles the given condition. IV; on the line \(3 y+5 x=0\)

Graph \(f\) on the Interval \([-2 \pi, 2 \pi],\) and estimate the coordinates of the high and low points. $$f(x)=x \sin x$$