1. The equation x² + y² + 2² - 8x + 2y +62 + 1 = 0 represents a sphere. Use the given equation to answer the following questions. (a) Rewrite the equation in the form (x-a)2+(y - b)² + (z - c)² = R². (b) Identify the center and radius of the sphere. (c) Determine the curve in which the sphere intersects the yz-plane or explain why it is not possible.
1. The equation x² + y² + 2² - 8x + 2y +62 + 1 = 0 represents a sphere. Use the given equation to answer the following questions. (a) Rewrite the equation in the form (x-a)2+(y - b)² + (z - c)² = R². (b) Identify the center and radius of the sphere. (c) Determine the curve in which the sphere intersects the yz-plane or explain why it is not possible.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 34E
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