Surface Minimum Demonstration
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This example demonstrates how to plot a surface in 3D space and find its minimum value point. It involves core mathematical concepts such as surface, volume, difference and slope, coordinates, step functions, and exponential functions. The construction uses commands like Surface and objects like a, b, c, d, U, V, e for parametric settings. Suitable for high school and above students learning spatial geometry and optimization in calculus.
GeoGebra Commands & Parameters
Surface(((a * ℯ^((a * u))) * cos((a * v))) - (ℯ^((b * u)) * cos((b * v))), ((a * ℯ^((a * u))) * sin((a * v))) + (ℯ^((b * u)) * sin((b * v))), ((c / d * ℯ^((d * u))) * cos((d * v))), u, 0, U, v, 0, V) → e