Chapter 3: Functions of Several Variables
Section 3.1: Functions and Their Graphs
Obtain plane sections x=c for the surface defined implicitly by the equation x⁢y+z⁢coshz−1=1.
Figure 3.1.8(a) animates the passage of the cutting plane x=c through the surface z=fx,y defined implicitly by the equation
The animation is constructed from coding primitives because the CrossSection command (and its companion tutor) will not accept an implicitly defined surface.
Indeed, Figure 3.1.8(a) is built with the intersectplot command, which works numerically to determine the intersection of the plane x=c with the implicitly given surface.
Maple can, however, represent zx,y in terms of its RootOf structure, and the spacecurve command will then calculate and draw the intersection with the plane x=c.
Figure 3.1.8(a) Cross sections x=c
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