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Curves from Parametric Equations

Curves from Parametric Equations
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2018-04-22 15:21
TrigonometryCoordinate GeometryParametric Equation
In collections Curves given by parametric or polar equations
This example demonstrates how to plot 2D curves using parametric equations. Key math concepts include parametric equations, coordinate geometry, and trigonometry. Construction highlights involve using commands like Textfield and CurveCartesian, with parameters a, b, and variable tt, alongside InputBoxes for dynamic input. Suitable for high school and above students learning parametric equations applications.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Textfield(g) → InputBox2
  3. CurveCartesian(f(t), g(t), t, a, b) → fullCurve
  4. CurveCartesian(f(t), g(t), t, a, tt) → partialCurve

AI Drawing Prompt Reference

Plot a 2D curve defined by parametric equations. First, input two parametric equations f(t) and g(t). Then, use these equations to draw a full curve from t=a to t=b. Next, use the same equations to draw a partial curve from t=a to t=tt, where tt is a dynamic input.
The prompt above was compiled from the original drawing commands and is for reference only.