Homework Help is Here – Start Your Trial Now!
Math
Calculus
(a)i- Show that the following equation represents a sphere, and find its center and radius.

(a)i- Show that the following equation represents a sphere, and find its center and radius.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 26E
See similar textbooks
icon
Related questions
Question
Work Problem 1 [ (a)i- 1 1 Show that the following equation represents a sphere, and find its center and radius. x² + y² + z² + (−10) x + (−2) y + (−8) z + 38 = 0 (b) Find an equation of the sphere that passes through the point (-2, 0, 1) and centered at the point (0, 1, 1). (c)!* Does the point P(3, 1, 0) belong to the sphere found in part (b)? Justify your answer.
Transcribed Image Text:Work Problem 1 [ (a)i- 1 1 Show that the following equation represents a sphere, and find its center and radius. x² + y² + z² + (−10) x + (−2) y + (−8) z + 38 = 0 (b) Find an equation of the sphere that passes through the point (-2, 0, 1) and centered at the point (0, 1, 1). (c)!* Does the point P(3, 1, 0) belong to the sphere found in part (b)? Justify your answer.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS