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Surface of Revolution of Parametric Curve

Surface of Revolution of Parametric Curve
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2018-02-10 22:56
Solid GeometryCalculusParametric Equation
In collections Calculus C07_Apps Of Integration
This example demonstrates the surface generated by rotating a parametric curve around a line. Key mathematical concepts include parametric equations and surfaces of revolution. It utilizes commands like CurveCartesian, Surface, and Textfield in GeoGebra. Suitable for high school mathematics, particularly in coordinate geometry and calculus.

GeoGebra Commands & Parameters

  1. CurveCartesian(t, sin(t) + 1.5, t, low, up) → a
  2. Surface(a, α, g) → b
  3. Textfield(b) → InputBox1
  4. Textfield(a) → InputBox2
  5. Textfield(g) → InputBox3