- #1
Townsend
- 232
- 0
I need to find a set of parametric equations for a hyperbolic paraboloid. The hint is that I should review some trigonometric identities that involve differences of squares that equal 1.
The equation is:
[tex]
\frac{y^2}{2}- \frac{x^2}{4} - \frac{z^2}{9} = 1
[/tex]
And what I have is
[tex]
y= \sqrt{2}*sec(t)*sec(s)
[/tex]
[tex]
x=2*tan(t)*sec(s)
[/tex]
[tex]
z=3*tan(s)
[/tex]
I am then suppose to write the maple code and send it to my instructor. The problem is that when I do the plot3d with those equations I get a strange looking thing that looks nothing like what a hyperbolic paraboloid should look like. I did the implicitplot3d for the equation to see what it should look like so I know I am way off.
Can anyone offer me any hints?
Thanks
The equation is:
[tex]
\frac{y^2}{2}- \frac{x^2}{4} - \frac{z^2}{9} = 1
[/tex]
And what I have is
[tex]
y= \sqrt{2}*sec(t)*sec(s)
[/tex]
[tex]
x=2*tan(t)*sec(s)
[/tex]
[tex]
z=3*tan(s)
[/tex]
I am then suppose to write the maple code and send it to my instructor. The problem is that when I do the plot3d with those equations I get a strange looking thing that looks nothing like what a hyperbolic paraboloid should look like. I did the implicitplot3d for the equation to see what it should look like so I know I am way off.
Can anyone offer me any hints?
Thanks