2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the distance between the centers of the spheres? b. Find an equation of a plane that contains the centers of both spheres.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2) Consider two spheres
(x - 2)² + (y - 3)² + z² = 1
x² + y² + z² = -8y + 2z + 3
a. What is the distance between the centers of the spheres?
b. Find an equation of a plane that contains the centers of both spheres.
Transcribed Image Text:2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the distance between the centers of the spheres? b. Find an equation of a plane that contains the centers of both spheres.
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