Consider the three-dimensional Euclidean space with coordinates x, y and z. The intersection of the plane z = (x + 9) and the cone z² = x² + y² is an ellipse. Which point(s) on this ellipse are furthest from / closest to the origin?

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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Consider the
three-dimensional Euclidean space with coordinates x, y and z. The intersection of the
1
2
2
plane z = (x + 9) and the cone z² = x² + y² is an ellipse. Which point(s) on this ellipse are furthest
2
from / closest to the origin?
Transcribed Image Text:Consider the three-dimensional Euclidean space with coordinates x, y and z. The intersection of the 1 2 2 plane z = (x + 9) and the cone z² = x² + y² is an ellipse. Which point(s) on this ellipse are furthest 2 from / closest to the origin?
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