My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
October 7th, 2017, 05:06 PM   #1
Newbie
 
Joined: Sep 2017
From: Sydney

Posts: 17
Thanks: 0

3-D Surface plot of equation

What does the plot of this surface equation look like ?

I know it has a shape of the sphere but I am confused what is 1 and 4 and what they represent.
Attached Images
File Type: jpg Sphere plot.JPG (13.7 KB, 7 views)
Robotboyx9 is offline  
 
October 7th, 2017, 06:44 PM   #2
SDK
Senior Member
 
Joined: Sep 2016
From: USA

Posts: 224
Thanks: 121

Math Focus: Dynamical systems, analytic function theory, numerics
$x^2 + y^2 + z^2 \leq 4$ describes a solid ball of radius 4. $x^2 + y^2 + z^2 \leq 1$ is similar ball of radius 1. Can you see from this what your region looks like?
SDK is offline  
October 7th, 2017, 10:16 PM   #3
Newbie
 
Joined: Sep 2017
From: Sydney

Posts: 17
Thanks: 0

Quote:
Originally Posted by SDK View Post
$x^2 + y^2 + z^2 \leq 4$ describes a solid ball of radius 4. $x^2 + y^2 + z^2 \leq 1$ is similar ball of radius 1. Can you see from this what your region looks like?
Is it like a ball but a hole inside of it ?
Robotboyx9 is offline  
October 7th, 2017, 10:39 PM   #4
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: USA

Posts: 1,652
Thanks: 839

half of one yes
romsek is online now  
October 13th, 2017, 08:04 AM   #5
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 2,875
Thanks: 766

"Half of one" because of the additional condition $\displaystyle z\ge 0$.
Country Boy is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
calc3, calculus3, equation, plot, surface



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Simple Yet Difficult Data plot Equation VisionaryLen Geometry 4 September 27th, 2016 10:34 AM
export equation from plot kotshe Algebra 4 August 30th, 2013 02:56 PM
Finding the Equation of a Surface Beevo Calculus 0 October 26th, 2012 09:56 AM
Polynomial equation for surface fit Beiteltjie Advanced Statistics 1 October 5th, 2012 01:18 AM
Creating a parametric equation for a surface echo6 Algebra 2 January 23rd, 2008 04:34 AM





Copyright © 2017 My Math Forum. All rights reserved.