a) [ Show that the equation 6x + 6y-6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its center and the radius. Provide two points on the sphere b) [ that you have in part a. -¹ The intersection of the sphere B c) [. and the yz-plane is (y - 3)² + (z+4)² = 25. 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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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a) [
Show that the equation
6x + 6y-6z + 3x² + 3y² + 3z² = 18
represents a sphere, and find its center and the
radius.
Provide two points on the sphere
b) [
that you have in part a.
¹ The intersection of the sphere B
c) [.
and the yz-plane is
(y - 3)² + (z + 4)² = 25. 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:a) [ Show that the equation 6x + 6y-6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its center and the radius. Provide two points on the sphere b) [ that you have in part a. ¹ The intersection of the sphere B c) [. and the yz-plane is (y - 3)² + (z + 4)² = 25. 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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