Answer: Comparing Plane Curves In Exercises 3134, determine any differences between the
Chapter 10, Problem 33(choose chapter or problem)
In Exercises 31-34, determine any differences between the curves of the parametric equations. Are the graphs the same? Are the orientations the same? Are the curves smooth? Explain.
(a) \(x=\cos \theta\)
\(y=2 \sin ^{2} \theta\)
\(0<\theta<\pi\)
(b) \(x=\cos (-\theta)\)
\(y=2 \sin ^{2}(-\theta)\)
\(0<\theta<\pi\)
Text Transcription:
x = cos theta
y = 2 sin^2 theta
0 < theta < pi
x = cos (-theta)
y = 2 sin^2 (- theta)
0 < theta < pi
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