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Scratch

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

Investigate the behavior of quadric surfaces of the form
±
2
x
2
a
±
2
y
2
b
±
2
z
2
c
=1
​
a
-4
-3
-2
-1
1
2
3
4
b
-4
-3
-2
-1
1
2
3
4
c
-4
-3
-2
-1
1
2
3
4

Paraboloids

Investigate the behavior of quadric surfaces of the form
±
2
x
2
a
±
2
y
2
b
=z
​
a
-4
-3
-2
-1
1
2
3
4
b
-4
-3
-2
-1
1
2
3
4

Cone

​
axis
x
y
z
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