The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on the ellipse that are nearest to and farthest from the origin nearest point (x, y, z) = arthest point (x, y, z) =
The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on the ellipse that are nearest to and farthest from the origin nearest point (x, y, z) = arthest point (x, y, z) =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 70E
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