Chartislizab Chartislizab
  • 21-11-2016
  • Mathematics
contestada

The surfaces intersect in a space curve C. Determine the projection of C onto the xy-plane.
The paraboloids x^2+y^2+ z=4 and x^2 +3y^2=z

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syed514
syed514 syed514
  • 04-12-2016
As the paraboloids is given with the following equation

x^2+y^2+ z=4 and x^2 +3y^2=z

So,
x^2+y^2+ z-4 = x^2 +3y^2 - z 
x^2+y^2+ z-4 - x^2 -3y^2 + z =0

= -2y^2 +2z -4 
which is the projection of C onto the xy-Plane and it will be an eclipse.




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