Open-Ended Project The parametric equationswhere and represent the surfaceshown below

Chapter 15, Problem 59

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Open-Ended Project   The parametric equations

x = 3 +sin u[7 - cos (3u - 2v) - 2 cos (3u + v)]

y= 3 +cos u[7 - cos (3u - 2v) - 2 cos (3u + v)]

z = sin (3u - 2v) + 2 sin (3u + v)

where \(-\pi \leq u \leq \pi\) and \(-\pi \leq v \leq \pi\), represent the surface shown below. Try to create your own parametric surface using a computer algebra system.

Text Transcription:

-pi<=u<=pi

-pi<=v<=pi

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