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Parametric Curve in the Plane

Parametric Curve in the Plane
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2016-04-27 04:45
FunctionCoordinate GeometryParametric Equation
In collections Fun with Functions
This example demonstrates parametric curves of arbitrary functions. By adjusting parameters, you can observe the changes in the curve. Key mathematical concepts include parametric equations and function graphs. It uses commands like CurveCartesian, Derivative, and Vector in GeoGebra. Suitable for high school and above students to learn about parametric equations and function graphs.

GeoGebra Commands & Parameters

  1. CurveCartesian(f(t), g(t), t, 0, 6.28319) → a
  2. Derivative(a) → a'
  3. Derivative(a') → a''
  4. Textfield(f) → inputBox1
  5. Textfield(g) → inputBox2
  6. Vector(A, A + V) → u
  7. Vector(V) → V2