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Differential Equations
    Workshop and Honey Bees




Honey Bees by david.nikonvscanon
The bacteria in a certain culture increase continuously at a rate
proportional to the number present.
(a) If the number triples in 6 hours how many are there in 12 hours?
(b) In how many hours will the original amount quadruple?
Radium decomposes at a rate proportional to the amount present. Find
an expression for the amount R left after t years, if R0 is present
initially and c is the negative constant of proportionality.
AP Calculus Slides March 25, 2008
AP Calculus Slides March 25, 2008
AP Calculus Slides March 25, 2008
AP Calculus Slides March 25, 2008
AP Calculus Slides March 25, 2008

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AP Calculus Slides March 25, 2008

  • 1. Differential Equations Workshop and Honey Bees Honey Bees by david.nikonvscanon
  • 2. The bacteria in a certain culture increase continuously at a rate proportional to the number present. (a) If the number triples in 6 hours how many are there in 12 hours? (b) In how many hours will the original amount quadruple?
  • 3. Radium decomposes at a rate proportional to the amount present. Find an expression for the amount R left after t years, if R0 is present initially and c is the negative constant of proportionality.