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Magazine Problem 11
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. \(x=6 \sin (2 \theta), y=4 \cos (2 \theta)\)
Problem 12
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. \(x=\cos \theta, \quad y=2 \sin (2 \theta)\)
Problem 13
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. \(x=3-2 \cos \theta, \quad y=-5+3 \sin \theta\)
Problem 14
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. \(x=4+2 \cos \theta, \quad y=-1+\sin \theta\)
Problem 15
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. \(x=\sec t, \quad y=\tan t\)
Problem 16
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=\ln (2 t), \quad y=t^{2}$$
Problem 17
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=e^{t}, \quad y=e^{2 t}$$
Problem 18
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=e^{-2 t}, \quad y=e^{3 t}$$
Problem 19
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=t^{3}, \quad y=3 \ln t$$
Problem 20
For the following exercises, sketch the parametric equations by eliminating the parameter. Indicate any asymptotes of the graph. $$x=4 \sec \theta, \quad y=3 \tan \theta$$
