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Gabriel's Horn

Gabriel's Horn
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2014-11-27 02:12
FunctionIntegralLimit
This example demonstrates the horn formed by rotating the function f(x) = 1/x (x≥1) around the x-axis. Key mathematical concepts include functions, integration, and limits. It uses Circle, Surface, and Sequence commands in GeoGebra. Suitable for high school math education and learning calculus concepts.

GeoGebra Commands & Parameters

  1. Circle(xAxis, B) → c
  2. Surface(t, (f(t) * cos(u)), (f(t) * sin(u)), t, 0, 10, u, 0, 6.28319) → a
  3. Sequence(CurveCartesian[t, (f(t) * cos(u)), (f(t) * sin(u)), t, 0, 10], u, 0, 6.283185307179586, 0.3141592653589793) → list1
  4. Sequence(CurveCartesian[t, (f(t) * cos(u)), (f(t) * sin(u)), u, 0, 6.283185307179586], t, 1, 10, 0.25) → list2