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# 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 showthat the curve lies on it.

Vector Functions

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

wrath of the curve with parametric equations actually got one plastic assign. Sixteen Society. Why is he going to one plastic assign sixteen t I'm so scientific, Andi cuz called one last find sixteen. Explain the appearance of the graf, a showing that last honor corps so first are using some graphing. The wise can graphs the curve as follows. Since this is the curve off, it's a given questions. The Moche showed that last chord, but Parametric equations exp lai and C We have x squared us Why square is the control one plus assign sixteen score. This is cultural The square Andi, this is our court. So the cave last record.

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Vector Functions

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp