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How To Create 3D Function Graphs & Animations?
To create a graph including graphs of following five functions:
| Function 1 |
r=z/4+2 0<=a<=2pi 4<=z<=7 |
Cylindrical coordinate system, pi=3.1415926 |
| Function 2 |
r=5 0<=a<=2pi 0<=b<=pi |
Spherical coordinate system |
| Function 3 |
z=sin((x^2+y^2)^0.5-t)-1 -7<=x<=7 -7<=y<=7 -3<=t<=3 |
Cartesian coordinate system, animation |
| Function 4 |
x=3.75cos(t), y=3.75sin(t), z=7.1 0<=t<=2pi |
Point in parametric form, animation |
Following these steps to create function graphs.
Step 1: Create A New 3D Document
If graphs created before are 2D or 2.5D, click  button first to create a new 3D document.
Step 2: Graph Function 1
Click  button to open 3D Function Graph Properties dialog box. Select "a=f1(u,v),r=f2(u,v),z=f3(u,v)" item from Form combo box. In 3D Function Graph Properties dialog box, input u in a(u,v) field, input v/4+1 in r(u,v) field, input v in z(u,v) field, input 0 in Min u field, input 2pi in Max u field, input 30 in Steps u field, input 4 in Min v field, input 7 in Max v field, input 30 in Steps v field.
Use Color tab to set the color of current surface, click OK button to create the first graph.
Step 3: Add Graph Of Function 2
Click  button to open 3D Function Graph Properties dialog box. Select "r=f(a,b)" item in Form combo box. input 5 in r(a,b) field, input 0 in Min a field, input 2pi in Max a field, input 40 in Steps a field, input 0 in Min b field, input pi in Max b field, input 40 in Steps b field.
Use Color tab to set the color of current surface, click OK button to create the second graph.
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