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Radioactive Decay Demonstration

Radioactive Decay Demonstration
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2020-02-20 01:51
FunctionProbability & StatisticsGeometric Construction
This example demonstrates the decay process of several isotopes, involving exponential functions and Poisson distribution. It uses GeoGebra commands like Function, OrthogonalLine, Intersect, and Segment, along with objects such as sliders and loci for construction. Ideal for high school students or probability & statistics and calculus education.

GeoGebra Commands & Parameters

  1. Function(f1, 0, t / a) → f1z
  2. OrthogonalLine(Hp, yAxis) → g_1
  3. Intersect(f1, g_1, (55.59998175614492, 0.5000000000001242)) → Hp_1
  4. OrthogonalLine(Hp_2, yAxis) → g_2
  5. Intersect(f1, g_2, (111.1999635123297, 0.25)) → Hp_3
  6. OrthogonalLine(Hp_4, yAxis) → g_3
  7. Intersect(f1, g_3, (166.79994526849458, 0.12499999999999997)) → Hp_5
  8. OrthogonalLine(Hp_6, yAxis) → g_4
  9. Intersect(f1, g_4, (693.1471805599454, 0.06249999999999998)) → Hp_7
  10. Segment(Hp, Pr1h) → f1hor
  11. Segment(Pr1h, Hp1u) → f1ver
  12. Segment(Hp_2, Pr2h) → f2hor
  13. Segment(Pr2h, Hp3u) → f2ver
  14. Segment(Pr4h, Hp7u) → f4ver
  15. Segment(Hp5u, Pr3h) → f3ver
  16. Segment(Hp_4, Pr3h) → f3hor
  17. Segment(Hp_6, Pr4h) → f4hor