Chapter 3: Functions of Several Variables
Section 3.1: Functions and Their Graphs
On the domain 0≤x,y,z≤3, graph the level surfaces w=5 and w=15 for the function w=ln⁡y+sinh⁡x⁢z+y⁢cosh⁡x+z.
Figure 3.1.9(a) shows the level surfaces w=5 in red, and w=15 in green.
The level curves on each of these level surfaces are included to provide some definition for surface.
The surfaces are drawn with Maple's implicitplot3d command, which assumes w=gx,y,z=c defines z=zx,y implicitly.
Table 3.1.9(a) contains the complete syntax for drawing Figure 3.1.9(a). (Select Evaluate in the Context Panel.)
use plots in
Figure 3.1.9(a) Surfaces w=5,15 in red, green, respectively
Table 3.1.9(a) Syntax for constructing Figure 3.1.9(a)
Of course, the graph of each surface could have been constructed interactively with the Plot Builder, and combined by copy/paste.
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