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Ksju [112]
3 years ago
5

The surfaces intersect in a space curve C. Determine the projection of C onto the xy-plane.

Mathematics
1 answer:
Nikitich [7]3 years ago
8 0
<span>As the paraboloids is given with the following equation

</span><span>x^2+y^2+ z=4 and x^2 +3y^2=z

So,
</span><span>x^2+y^2+ z-4 = x^2 +3y^2 - z 
</span><span>x^2+y^2+ z-4 - x^2 -3y^2 + z =0
</span>
= <span>-2y^2 +2z -4 
</span>which is the projection of C onto the xy-Plane and it will be an eclipse.




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