13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the yz-plane?
13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the yz-plane?
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
13 pl
![yz-plane?
13. Find an equation of the sphere with center (-3, 2, 5) and
radius 4. What is the intersection of this sphere with the
14. Find an equation of the sphere with center (2, -6, 4) and
radius 5. Describe its intersection with each of the coordinate
planes.
15. Find an equation of the sphere that passes through the point
(4, 3, -1) and has center (3, 8, 1).
Hola
16. Find an equation of the sphere that passes through the origin
and whose center is (1, 2, 3).
17-20 Show that the equation represents a sphere, and find its
center and radius. bue (ups 10) Insis
17. x² + y² + z² - 2x - 4y + 8z = 15
18. x² + y² + z² + 8x - 6y + 2z + 17 = 0
19. 2x² + 2y² + 2z² = 8x - 24z + 1
20. 3x² + 3y² + 3z² = 10 + 6y + 12z
00
21. (a) Prove that the midpoint of the line segment from
P₁(x, y, z₁) to P2(x2, y2, 22) is *** F
x₁ + x2 ₁ + y₂ Z₁ + Z2
2
2
triangle with ver-
of a
S
40
4
4
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4867dc9f-364a-4638-8025-2a4dd9899552%2Fc452e8e8-a5c0-4f81-a3ad-c90fecb06392%2Fevxwa9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:yz-plane?
13. Find an equation of the sphere with center (-3, 2, 5) and
radius 4. What is the intersection of this sphere with the
14. Find an equation of the sphere with center (2, -6, 4) and
radius 5. Describe its intersection with each of the coordinate
planes.
15. Find an equation of the sphere that passes through the point
(4, 3, -1) and has center (3, 8, 1).
Hola
16. Find an equation of the sphere that passes through the origin
and whose center is (1, 2, 3).
17-20 Show that the equation represents a sphere, and find its
center and radius. bue (ups 10) Insis
17. x² + y² + z² - 2x - 4y + 8z = 15
18. x² + y² + z² + 8x - 6y + 2z + 17 = 0
19. 2x² + 2y² + 2z² = 8x - 24z + 1
20. 3x² + 3y² + 3z² = 10 + 6y + 12z
00
21. (a) Prove that the midpoint of the line segment from
P₁(x, y, z₁) to P2(x2, y2, 22) is *** F
x₁ + x2 ₁ + y₂ Z₁ + Z2
2
2
triangle with ver-
of a
S
40
4
4
4
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