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Volume under a Paraboloid

Volume under a Paraboloid
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2016-10-08 05:18
FunctionSolid GeometryCalculusGraphing
This example demonstrates how to calculate the volume of a solid under a paraboloid. Key math concepts include integration, solid geometry, and function graphing. It is constructed using GeoGebra commands like CurveCartesian with parameters a, b, c, d, e for adjustments. Suitable for high school and above students learning spatial geometry and calculus applications.

GeoGebra Commands & Parameters

  1. CurveCartesian(u, sqrt(u), u^(2) + u, u, 0, 1) → a
  2. CurveCartesian(t, t^(2), t, 0, 1) → b
  3. CurveCartesian(t, sqrt(t), t, 0, 1) → c
  4. CurveCartesian(u, u^(2), u^(2) + u^(4), u, 0, 1) → d
  5. CurveCartesian(1, 1, t, t, 0, 2) → e