October 7th, 2017, 05:06 PM  #1 
Newbie Joined: Sep 2017 From: Sydney Posts: 17 Thanks: 0  3D 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. 
October 7th, 2017, 06:44 PM  #2 
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?

October 7th, 2017, 10:16 PM  #3 
Newbie Joined: Sep 2017 From: Sydney Posts: 17 Thanks: 0  
October 7th, 2017, 10:39 PM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 1,652 Thanks: 839 
half of one yes

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 $\displaystyle z\ge 0$.


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 