a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its center and the radius.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 1E: Does a right circular cylinder such as an aluminum can have a symmetry with respect to at least one...
icon
Related questions
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage