The discussion revolves around identifying the domains of 3D quadratic surfaces, specifically focusing on inequalities related to a cone defined by the equations z² ≤ x² + y² and z ≥ x² + y². Participants are exploring how to determine whether points are inside or outside the defined shape.
The discussion is active, with participants sharing similar suggestions about using test points. However, there is some disagreement regarding the characteristics of points in relation to the cone, indicating a lack of consensus on the definitions being applied.
Some participants express confusion over the conditions for external points, particularly in relation to the cone's properties and the implications of the inequalities provided.
in the case of the cone any number satisfy the inequality, but what if i want the external points of the coneMath_QED said:Take a simple test point and see if its coordinates satisfy the inequalities.
That's not true about the cone. For example, the point (1, 1, 2) is outside the cone.DottZakapa said:in the case of the cone any number satisfy the inequality, but what if i want the external points of the cone