Question: Graph the surfaces z = x 2 + y 2 and z = 1 - y 2 on a common screen using the domain |x|

Graph the surfaces z = x² + y² and z = 1 - y² on a common screen using the domain |x| < 1.2, |y| < 1.2 and observe the curve of intersection of these surfaces. Show that the projection of this curve onto the xy-plane is an ellipse.

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