[Scilab-users] Plotting Inequalities 3D
Samuel Gougeon
sgougeon at free.fr
Sat Oct 20 23:27:26 CEST 2012
Le 20/10/2012 17:42, Ercan.Ulupinar at web.de a écrit :
> Hi,
> how can i plot(3d) these inequations? :
> x^2 + y^2 <= 1 && 0 <= z <= x^2 +y^2
x^2 + y^2 <= 1 : is the filled cylinder along (Oz), of radius r=1
let's set r^2 = x^2+y^2
then zp(r) = x^2 +y^2 = r^2 is the vertical paraboloid with minimum at
(0,0)
So 0 <= z <= zp(r) is the filled paraboloid bowl based on the (Oxy) plane.
The first condition limits the bowl within the cylindrical 0<= r <= 1 part.
Then using plot3d() becomes easy ;)
Samuel
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