Optimization of Rectangle under Parabola

Optimization of Rectangle under Parabola
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2018-11-16 00:16
This example demonstrates the optimization of a rectangle under a parabola. Key mathematical concepts include functions, inequalities, and optimization. Using GeoGebra commands such as Function, Point, and Polygon, the position and size of the rectangle can be dynamically adjusted to observe changes in its area. Suitable for high school mathematics education, particularly for teaching calculus and optimization problems.

GeoGebra Commands & Parameters

  1. Function((-x^(2)) + 9, 0, 3) → f
  2. Point(f) → A
  3. Polygon(B, C, A, D) → poly1, b, c, a, d