(1.) (a. The curve of intersection of the sphere of radius √8 centered at the origin and the cone given 2 = √x² + y² is a circle. Determine it's radius as well as the equation of the horizontal plane it lies in.
(1.) (a. The curve of intersection of the sphere of radius √8 centered at the origin and the cone given 2 = √x² + y² is a circle. Determine it's radius as well as the equation of the horizontal plane it lies in.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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![(1.) (a.
given
The curve of intersection of the sphere of radius √8 centered at the origin and the cone
2 = x² + y²
V
is a circle. Determine it's radius as well as the equation of the horizontal plane it lies in.
(b.
Determine a vector function r(t) that describes the curve of intersection you found in part](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4effdf1a-67d0-42fb-b95c-7c4b54ad0624%2Ff3f411ad-3269-46a1-852e-105977d18097%2F7su9fse_processed.png&w=3840&q=75)
Transcribed Image Text:(1.) (a.
given
The curve of intersection of the sphere of radius √8 centered at the origin and the cone
2 = x² + y²
V
is a circle. Determine it's radius as well as the equation of the horizontal plane it lies in.
(b.
Determine a vector function r(t) that describes the curve of intersection you found in part
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