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Surface of Revolution of Parametric Curve about y-axis

Surface of Revolution of Parametric Curve about y-axis
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2018-02-10 21:44
Solid GeometryCalculusParametric Equation
In collections Calculus C07_Apps Of Integration
This example demonstrates the surface formed by rotating a parametric curve about the y-axis. Key mathematical concepts include parametric equations and solid geometry. It uses commands like CurveCartesian, Surface, and Textfield in GeoGebra. Suitable for high school and above students learning calculus and solid geometry.

GeoGebra Commands & Parameters

  1. CurveCartesian(t, sin(t) + 1.5, t, low, up) → a
  2. Surface(a, α, y = whY) → b
  3. Textfield(b) → InputBox1
  4. Textfield(a) → InputBox2