|
Chapter 3: Functions of Several Variables
Section 3.1: Functions and Their Graphs
|
Example 3.1.9
|
|
|
On the domain , graph the level surfaces and for the function .
|
|
|
|
|
Solution
|
|
|
•
|
Figure 3.1.9(a) shows the level surfaces in red, and 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 defines 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
module()
local p,W;
W:=ln(y+sinh(x*z))+y*cosh(x+z);
p:=implicitplot3d([W=5,W=15],x=0..3,y=0..3,z=0..3,color=[red,green],style=surfacecontour,lightmodel=none,axes=frame,orientation=[130,70,0]):
print(p);
end module:
end use:
|
|
|
Figure 3.1.9(a) Surfaces 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.
|
|
<< Previous Example Section 3.1
Next Example >>
© Maplesoft, a division of Waterloo Maple Inc., 2024. All rights reserved. This product is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation.
For more information on Maplesoft products and services, visit www.maplesoft.com
|
