Calculus

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Maximum and minimum “holes” on a 3D surface.

This diagram illustrates a 3D surface with a distinct shape that showcases both a maximum and a minimum "hole" structure. The surface grid highlights the transition between concave and convex regions with axes x, y, and z.

This diagram illustrates a 3D surface with a distinct shape that showcases both a maximum and a minimum “hole” structure. The surface extends smoothly, bending upward in one region (maximum) while dipping downward into a “hole” in another region (minimum), forming a complex topological feature.

This visualization is essential for learning about local maxima and minima in multivariable calculus, mathematical surfaces, and applications in physics and engineering.

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