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CalcPlot3D, an Exploration Environment for Multivariable Calculus
Intersections of Other Types of Surfaces
See my paper on this topic online in the Proceedings of AMATYC 2010:
It includes two examples of this type of problem along with steps to follow to visually verify the solutions using CalcPlot3D.
Seeburger, Paul, "CalcPlot3D, an Exploration Environment for Multivariable Calculus," Loci (September 2011), DOI: 10.4169/loci003781
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