Scratch
Scratch
In-class Examples
In-class Examples
ContourPlot3D[zx^2,{x,-4,4},{y,-4,4},{z,-8,8},AxesTrue,PlotRangeAll,AxesLabel{"x","y","z"},AxesStyleDirective[Bold,FontFamily"Helvetica"],PlotRange{{-5,5},{-5,5},{-5,5}},BoxRatiosAutomatic,PlotPoints50,PlotLabelStyle["z=\!\(\*SuperscriptBox[\(x\), \(2\)]\)",Large,FontFamily->"Al Bayan"],NormalsFunctionNone,MeshFunctions{#3&},ContourStyle{Texture[ExampleData[{"ColorTexture","Ash"}]]}]
ContourPlot3D[y^2+z^21,{x,-4,4},{y,-4,4},{z,-8,8},AxesTrue,PlotRangeAll,AxesLabel{"x","y","z"},PlotRange{{-5,5},{-5,5},{-5,5}},BoxRatiosAutomatic,PlotPoints50,AxesStyleDirective[Bold,FontFamily"Helvetica"],PlotLabelStyle["\!\(\*SuperscriptBox[\(y\), \(2\)]\)+\!\(\*SuperscriptBox[\(z\), \(2\)]\)=1",Large,FontFamily->"Al Bayan"],NormalsFunctionNone,MeshFunctions{#3&},ContourStyle{Texture[ExampleData[{"ColorTexture","Ash"}]]}]
Spheres, Ellipsoids, and Hyperboloids
Spheres, Ellipsoids, and Hyperboloids
Investigate the behavior of quadric surfaces of the form
±±±=1
2
x
2
a
2
y
2
b
2
z
2
c
Paraboloids
Paraboloids
Investigate the behavior of quadric surfaces of the form
±±=z
2
x
2
a
2
y
2
b
Cone
Cone