Intersection of a paraboloid and hemisphere.

This diagram illustrates the intersection between a paraboloid and a hemisphere in 3D space. Two surfaces—the upward-facing paraboloid z = 4 − x2y2 and the hemisphere x2 + y2 + z2 = 6 overlap to form a shared region, labeled here with W. The image emphasizes the boundary between these surfaces through transparent rendering, helping visualize how they intersect.

This illustration is useful for multivariable calculus textbooks and analytic geometry learning materials.

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