Calculus 2 · Chapter 4 · Lesson 4.2 · Printable PDF

Logistic Growth Worksheet with Answer Key

6 problems on logistic growth. 3 pages, with a worked answer key.

6 problems3 pagesanswer key
Printable Logistic growth worksheet with answer key - Calculus 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Each equation is a logistic equation written in another form.
    \dfrac{dP}{dt} = \dfrac{P(500 - P)}{2000}\dfrac{dP}{dt} = 2P\left(3 - \dfrac{P}{50}\right)\dfrac{dP}{dt} = 0.9P\left(1 - \dfrac{P}{300}\right) - 0.3P
  2. Park biologists reintroduce bison to Tallgrass Ridge Preserve, releasing a herd of 50 animals.
  3. Fire blight, a disease of fruit trees, is spreading through a pear orchard of 1,200 trees.
  4. European green crabs are invading a salt marsh.
  5. A new slang word spreads among the students of a high school.
  6. Red squirrels live in two wooded parks, Pinecrest Woods and Alder Creek.

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Logistic growth: the lesson ›

More Chapter 4 worksheets: Differential equations: logistic growth and Euler's method