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Numerade Educator



Problem 39 Medium Difficulty

Graph the curve with parametric equations
$$ x = (1 + \cos 16t) \cos t $$
$$ y = (1 + \cos 16t) \sin t $$
$$ z = 1 + \cos 16t $$
Explain the appearance of the graph by showing that it lies on a cone.


Plug the parametric equations into the cone equation $z^{2}=x^{2}+y^{2}$ to show
that the curve lies on it.


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Video Transcript

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