Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Sent to:
Search glass icon
  • Login
  • Textbooks
  • Ask our Educators
  • Study Tools
    Study Groups Bootcamps Quizzes AI Tutor iOS Student App Android Student App StudyParty
  • For Educators
    Become an educator Educator app for iPad Our educators
  • For Schools

Problem

Show that the equation represents a sphere, and f…

01:17

Question

Answered step-by-step

Problem 18 Easy Difficulty

Show that the equation represents a sphere, and find its center and radius.

$ x^2 + y^2 + z^2 + 8x - 6y + 2z + 17 = 0 $


Video Answer

Solved by verified expert

preview
Numerade Logo

This problem has been solved!

Try Numerade free for 7 days

Manish Kumar ( Iit K )
Numerade Educator

Like

Report

Textbook Answer

Official textbook answer

Video by Manish Kumar ( Iit K )

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

More Answers

00:40

ag

Alan Ghazarians

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

Related Topics

Vectors

Discussion

You must be signed in to discuss.
Top Calculus 3 Educators
Anna Marie Vagnozzi

Campbell University

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

Calculus 3 Courses

Lectures

Video Thumbnail

02:56

Vectors Intro

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

Join Course
Recommended Videos

0:00

Show that the equation rep…

03:00

Show that the equation x 2…

05:30

Show that the equation rep…

05:03

Show that the equation rep…

01:06

Show that the equation rep…

02:22

Show that the equation rep…

01:18

Show that the equation rep…

02:16

Show that the equation rep…

01:18

Show that the equation rep…

01:21

Show that the equation rep…

07:41

Show that the equation rep…

03:37

Show that the equation rep…

02:45

Show that the equation rep…

01:17

Show that the equation rep…

02:43

Find the center and radius…

Watch More Solved Questions in Chapter 12

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48

Video Transcript

So in these questions. So the question represent their spears basically this is x squared plus y squared plus b squared. But I guess man a six way six White and plus 2000 plus 17 ecological going to saw that this equals and represent spear and find their centers and radius. I. So we can clearly see that since the the coefficient of a square by square and square one. So we can see and uh there is no extra time, the only X, y and Z. To. So this the presenters pair Okay. And for the radio saying that for the regions and the centre we will find we will make a square. So this is it, that's a square plus old. So this will be like X plus pool is square, Okay, okay, so and there will be a 16 plus over here. So we will just subtract 16 for the balancing out over there plus why minus six y y minus of three square again, nine will be over here plus over nine minus nine. And yet. And plus to get that means jet plus one square one again will be some minus one over here plus 17 equal to the right, so it will be access exploits poor, it's quiet plus y minus of three Squire Plus jet plus of one square. And this is 16 and 9 25. And and it is 26. So this will be a minus of 26 and plus or 17. So it will be like Uh plus -9, that will be nine this side. So we can clearly see that this this will be equal to three is quite so we can clearly see that center have magnitude of the coordinator of this is x minus four minus of four and three and minus 100 G s r equals 23 squares of three. Okay, Thank you.

Get More Help with this Textbook
James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups
Study with other students and unlock Numerade solutions for free.
Math (Geometry, Algebra I and II) with Nancy
Arrow icon
Participants icon
95
Hosted by: Ay?Enur Çal???R
Math (Algebra 2 & AP Calculus AB) with Yovanny
Arrow icon
Participants icon
54
Hosted by: Alonso M
See More

Related Topics

Vectors

Top Calculus 3 Educators
Anna Marie Vagnozzi

Campbell University

Kristen Karbon

University of Michigan - Ann Arbor

Michael Jacobsen

Idaho State University

Joseph Lentino

Boston College

Calculus 3 Courses

Lectures

Video Thumbnail

02:56

Vectors Intro

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

Join Course
Recommended Videos

0:00

Show that the equation represents a sphere, and find its center and radius. …

03:00

Show that the equation x 2 + y 2 + z 2 + 8x − 6y + 2z + 17 = 0 represents a sph…

05:30

Show that the equation represents a sphere, and find its center and radius. $x…

05:03

Show that the equation represents a sphere, and find its center and radius. $x…

01:06

Show that the equation represents a sphere, and find its center and radius. …

02:22

Show that the equation represents a sphere, and find its center and radius. $x^…

01:18

Show that the equation represents a sphere, and find its center and radius. $$2…

02:16

Show that the equation represents a sphere, and find its center and radius. $2 …

01:18

Show that the equation represents a sphere, and find its center and radius. $$x…

01:21

Show that the equation represents a sphere, and find its center and radius. $…

07:41

Show that the equation represents a sphere, and find its center and radius. $2…

03:37

Show that the equation represents a sphere, and find its center and radius. …

02:45

Show that the equation represents a sphere, and find its center and radius. $x^…

01:17

Show that the equation represents a sphere, and find its center and radius. …

02:43

Find the center and radius of the sphere with the given equation. $$ x^{2}+y^{2…
Additional Mathematics Questions

01:35

a right prism has a regular pentagon of side 5cm as its base with an altitud…

02:02

points M,R,P,Q and N all lie on a straight line poont P is the mid point of …

02:42

In one region, the September energy consumption levels for single-family hom…

01:12

Given the slope and the y- intercept of the line: y+ 5x = −8y

01:12

Give the slope and the yy intercept of the line y+ 5x = −8y

01:09

Annual high temperatures in a certain location have been tracked for several…

00:58


A sports statistician was interested in the relationship between game at…

04:25

In a group presentation, the average geometric reasoning of Grade 10 student…

00:50

QUESTIONS 1
The amount of time a person must wait for a train to arrive i…

01:28

In hypothesis testing, if the test statistic falls in the critical region th…

Add To Playlist

Hmmm, doesn't seem like you have any playlists. Please add your first playlist.

Create a New Playlist

`

Share Question

Copy Link

OR

Enter Friends' Emails

Report Question

Get 24/7 study help with our app

 

Available on iOS and Android

About
  • Our Story
  • Careers
  • Our Educators
  • Numerade Blog
Browse
  • Bootcamps
  • Books
  • Notes & Exams NEW
  • Topics
  • Test Prep
  • Ask Directory
  • Online Tutors
  • Tutors Near Me
Support
  • Help
  • Privacy Policy
  • Terms of Service
Get started