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Determine the region that lies between two planes and two cylinder
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In 3D I need to determine the region bounded by two planes z=3 and z=y and two cylinders, y=x^2 and y=1x^2 ?
There are four conics that are in the intersection (black in the picture) :
X=(0,1,3)+(0.5t0.25t^2,0)
X=(0,1,1)+(0.35t,0.13t^2,0.13t^2)
X=(0,0,0)+(0.35t,0.13t^2,0.13t^2)
X=(0,0,3)+(0.5t,0.25t^2,0)
but is there a way to find the region that is bounded by those conics?
Files:
region.png
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