The discussion focuses on determining whether points are inside or outside the 3D quadratic surfaces defined by the inequalities z² ≤ x² + y² and z ≥ x² + y². Participants emphasize the importance of testing specific points against these inequalities to classify their positions relative to the surfaces. A key example provided is the point (1, 1, 2), which is confirmed to be outside the cone defined by these inequalities. The conversation highlights the necessity of understanding the geometric implications of the inequalities to accurately identify point locations.
PREREQUISITESStudents and educators in mathematics, geometry enthusiasts, and anyone interested in the analysis of 3D shapes and inequalities.
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