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WZ
Numerade Educator

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Problem 28 Hard Difficulty

Show that the curve with parametric equations $ x = \sin t $, $ y = \cos t $, $ z = \sin^2 t $ is the curve of intersection of the surfaces $ z = x^2 $ and $ x^2 + y^2 = 1 $. Use this fact to help sketch the curve.

Answer

$z=x^{2}$

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Video Transcript

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