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Chapter 8: Problem 70
Mentally determine \(d y / d x\). (a) \(x=t, \quad y=4\) (b) \(x=t, \quad y=4 t-3\)
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Use the results of Exercises \(31-34\) to find a set of parametric equations for the line or conic. $$ \text { Ellipse: vertices: }(\pm 5,0) ; \text { foci: }(\pm 4,0) $$
In Exercises \(17-20,\) use a graphing utility to graph the polar equation. Identify the graph. \(r=\frac{3}{-4+2 \sin \theta}\)
Graphical Reasoning In Exercises 1-4, use a graphing utility to graph the polar equation when (a) \(e=1,\) (b) \(e=0.5\) and \((\mathrm{c}) e=1.5 .\) Identify the conic. \(r=\frac{2 e}{1-e \sin \theta}\)
In Exercises \(17-20,\) use a graphing utility to graph the polar equation. Identify the graph. \(r=\frac{-1}{1-\cos \theta}\)
Use a graphing utility to graph the curve represented by the parametric equations (indicate the orientation of the curve). Eliminate the parameter and write the corresponding rectangular equation. $$ x=\cos ^{3} \theta, \quad y=\sin ^{3} \theta $$
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