The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What is the point on this ellipse that is farthest from the origin?
The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What is the point on this ellipse that is farthest from the origin?
Chapter4: Rational Functions And Conics
Section4.3: Conics
Problem 3ECP
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![The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What
is the point on this ellipse that is farthest from the origin?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F544f3990-7ff0-48bd-9648-1d5053b79d4f%2Fa7b9fa7d-9039-42d5-86d6-abf99a198041%2F20z4xa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What
is the point on this ellipse that is farthest from the origin?
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