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Unformatted text preview: Standard Equation: 2 2 2 2 2 2 =+ c z b y a x 5) Elliptic Paraboloid • Standard Equation: 2 2 2 2 a x b y z= 6) Hyperbolic Paraboloid • Standard Equation: 2 2 2 2 a x b y z= To Sketch a Quadric Surface 1) Write the surface in standard form. 2) Determine the traces in the coordinate planes by setting each variable =0 For example: To get the trace in the xyplane, set z=0. To get the trace in the xzplane, set y=0, etc. 3) If needed, find the traces in planes that are parallel to coordinate planes by holding a variable constant. Examples: Identify and Sketch: 1) 2) 4 4 2 2 = +z y x 1 4 / 2 2 2 = + + z y x #42 • Sketch the region bounded by the graphs of the equations. X=0, y=0, z=0 2 4 x z= 2 4 x y=...
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 Fall '12
 PamelaSatterfield
 Hyperboloid, Ellipsoid, Quadric, quadric surface

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