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May 20th, 2013, 09:25 PM  #1 
Newbie Joined: May 2013 Posts: 2 Thanks: 0  [Multivariable Calculus] Find the volume of the ellipsoid
Use multiple integrals, change of variables, spherical coordinates, et cetera to: Evaluate the volume of the ellipsoid ((x^2) / 16) + ((y^2) / 9) + ((z^2) / 25) = 1 Hint : Use the volume of sphere. I've worked through it, and have the limits of integration asS stands for integral symbol) SS z dA Where z=f(x,y) = (plus or minus) 5 *sqrt(1(x2)/16  (y2)) With (3 *sqrt(1(x2)/16) <= y <= 3 sqrt(1(x2)/16)) And 4 <= x <= 4 
May 21st, 2013, 12:27 AM  #2 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: [Multivariable Calculus] Find the volume of the ellipsoi [color=#000000] and .[/color] 
May 21st, 2013, 07:59 AM  #3  
Newbie Joined: May 2013 Posts: 2 Thanks: 0  Re: [Multivariable Calculus] Find the volume of the ellipsoi Quote:
 
May 21st, 2013, 01:11 PM  #4 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: [Multivariable Calculus] Find the volume of the ellipsoi [color=#000000]Due to symmetry I computed the volume in the first octant and since a 3d cartesian system has 8 octants, I multiplied by 8.[/color] 

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calculus, ellipsoid, find, multivariable, volume 
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