13 pl yz-plane?13. Find an equation of the sphere with center (-3, 2, 5) andradius 4. What is the intersection of this sphere with the14. Find an equation of the sphere with center (2, -6, 4) andradius 5. Describe its intersection with each of the coordinateplanes.15. Find an equation of the sphere that passes through the point(4, 3, -1) and has center (3, 8, 1).Hola16. Find an equation of the sphere that passes through the originand whose center is (1, 2, 3).17-20 Show that the equation represents a sphere, and find itscenter and radius. bue (ups 10) Insis17. x² + y² + z² - 2x - 4y + 8z = 1518. x² + y² + z² + 8x - 6y + 2z + 17 = 019. 2x² + 2y² + 2z² = 8x - 24z + 120. 3x² + 3y² + 3z² = 10 + 6y + 12z0021. (a) Prove that the midpoint of the line segment fromP₁(x, y, z₁) to P2(x2, y2, 22) is *** Fx₁ + x2 ₁ + y₂ Z₁ + Z222triangle with ver-of aS40444

Equation of the sphere with center (a,b,c) and radius r is (x-a)2+(y-b)2+(z-c)2 = r2

Answered: 13. Find an equation of the sphere with…

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

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Concept explainers

Rod Cutting

A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exponential time complexity. So there is a need to figure out a better method than this.

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

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