GraphingCalculator 3.2;
Window 49 122 754 891;
PaneDivider 98;
BackgroundColor 0 0 0;
BackgroundType 0;
Slider -1 1;
SliderSteps 80;
SliderControlValue 43;
SliderThrottle 20;
T -1 1;
2Dp.Scale 0.1 0.1 5 5;
2Dp.BottomLeft -1.3875 -1.15625;
3D.X -1 1;
3D.Y -1 1;
3D.Z -1 1;
3D.View 0.540721901318009 -0.807681794957856 -0.235095605082028 0.745455560256951 0.58957574888422 -0.310960518409925 0.389763817095951 -0.00711016325092326 0.92088740487726;
3D.Rotation 1 0 0 0 1 0 0 0 1;
Text "<size=13>The left pane shows the vertical plane <I>z </I>= <I>n</I> intersecting the hyperbolic paraboloid 
<I>z</I> = <I>x</I>^2 – <I>y</I>^2. The trace formed by the intersection is graphed on the <I>xy</I>-plane 
shown in the right pane.  
Move the slider (or press the play button) below to change the position of the plane.


";
Color 6;
Opacity 0.7;
Expr z=n;
Color 7;
Grain 0.883333333333333;
Expr z=x^2-y^2;
Color 2;
Expr vector(x,y,z)=vector(sqrt(t^2+n),t,n+0.01);
Color 2;
Expr vector(x,y,z)=vector(-sqrt(t^2+n),t,n+0.01);
Color 2;
Grain 0.7;
Expr vector(prime(x),prime(y))=vector(sqrt(t^2+n),t);
Color 2;
Grain 0.783333333333333;
Expr vector(prime(x),prime(y))=vector(-sqrt(t^2+n),t);