a) [ ] Show that the equation 4x8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its center and the radius. b) [. Provide two points on the sphere that you have in part a. 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.
a) [ ] Show that the equation 4x8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its center and the radius. b) [. Provide two points on the sphere that you have in part a. 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.
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%2F7d507745-0723-4cbd-9d55-a495b9db3804%2F334737ee-fdc2-4f3f-8f6a-db995945f2aa%2Fnv78wrb_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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