?Investigate the shape of the surface with parametric equations \(x=\sin u, y=\sin v\)
Chapter 16, Problem 4(choose chapter or problem)
Investigate the shape of the surface with parametric equations \(x=\sin u, y=\sin v\), \(z=\sin (u+v)\). Start by graphing the surface from several points of view. Explain the appearance of the graphs by determining the traces in the horizontal planes \(Z=0, z=\pm 1\), and \(Z=\pm \frac{1}{2}\).
Equation Transcription:
Text Transcription:
x=sin u, y=sin v
z=sin(u+v)
z=0, z=pm 1
z=pm 1/2
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