a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its center and the radius.
a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its center and the radius.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Q2
a) [
] Show that the equation
4x - 8y + 12z+ 2x² + 2y² + 2z² = -2
-20
represents a sphere, and find its center and the
radius.
b) [.
you have in part a.
Provide two points on the sphere that
c) [.
The intersection of the sphere B and
the xz-plane is (x - 2)² + (z + 1)² = 9. What
is the center and the radius of the sphere B?
What is the distance of the center of the sphere
and the origin? Provide your detail solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff89c330-bd71-407d-8007-67eb00f1339e%2Fd8f7259e-65d3-4336-bdb1-4a29f0a4c0da%2Fcte4ala_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2
a) [
] Show that the equation
4x - 8y + 12z+ 2x² + 2y² + 2z² = -2
-20
represents a sphere, and find its center and the
radius.
b) [.
you have in part a.
Provide two points on the sphere that
c) [.
The intersection of the sphere B and
the xz-plane is (x - 2)² + (z + 1)² = 9. What
is the center and the radius of the sphere B?
What is the distance of the center of the sphere
and the origin? Provide your detail solution.
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