In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each variable.] 71. x? + y? + z? + 2x – 2y = 2 72. x + y? + z² + 2x 73. x + y? + z? 74. x + y? + z? – 4x = 0 75. 2x + 2y? + 2z? - 8x + 4z = -1 - 2z = -1 4x + 4y + 2z = 0 76. 3x + 3y? + 3z? + 6x – 6y = 3

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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In Problems 71-76, find the radius and center of each sphere.
[Hint: Complete the square in each variable.]
71. x? + y? + z? + 2x – 2y = 2
72. x + y? + z² + 2x
73. x + y? + z?
74. x + y? + z? – 4x = 0
75. 2x + 2y? + 2z? - 8x + 4z = -1
- 2z = -1
4x + 4y + 2z = 0
76. 3x + 3y? + 3z? + 6x – 6y = 3
Transcribed Image Text:In Problems 71-76, find the radius and center of each sphere. [Hint: Complete the square in each variable.] 71. x? + y? + z? + 2x – 2y = 2 72. x + y? + z² + 2x 73. x + y? + z? 74. x + y? + z? – 4x = 0 75. 2x + 2y? + 2z? - 8x + 4z = -1 - 2z = -1 4x + 4y + 2z = 0 76. 3x + 3y? + 3z? + 6x – 6y = 3
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