Graph the surfaces z = x? + y? and z mon screen using the domain | x| < 1.2, y < 1.2 and 1 - y on a com- observe the curve of intersection of these surfaces. Show that the projection of this curve onto the xy-plane is an ellipse.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Conic Sections
Section7.2: Ellipses
Problem 1E: An ellipse is the set of all points in the plane for which the ____ of the distances from two fixed...
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53. Graph the surfaces z = x² + y² and z =
mon screen using the domain | x|< 1.2, y < 1.2 and
1 - y on a com-
observe the curve of intersection of these surfaces. Show that
the projection of this curve onto the xy-plane is an ellipse.
Transcribed Image Text:53. Graph the surfaces z = x² + y² and z = mon screen using the domain | x|< 1.2, y < 1.2 and 1 - y on a com- observe the curve of intersection of these surfaces. Show that the projection of this curve onto the xy-plane is an ellipse.
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