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Ch 6.5 Logistic Growth

Ch 6.5 Logistic Growth. Calculus Graphical, Numerical, Algebraic by Finney, Demana, Waits, Kennedy. Example of Partial Fraction Decomposition. Integrating with Partial Fractions. Integrating with Partial Fractions. Gorilla Population.

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Ch 6.5 Logistic Growth

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  1. Ch 6.5 Logistic Growth Calculus Graphical, Numerical, Algebraic by Finney, Demana, Waits, Kennedy

  2. Example of Partial Fraction Decomposition

  3. Integrating with Partial Fractions

  4. Integrating with Partial Fractions

  5. Gorilla Population • A certain wild animal preserve can support no more than 250 lowland gorillas. Twenty-eight gorillas were known to be in the preserve in 1970. Assume that the rate of growth of the population is • Where time t is in years. • Find a formula for the gorilla population in terms of t. • How long will it take the gorilla population to reach the carrying capacity of the preserve?

  6. Gorilla Population

  7. Gorilla Population • A certain wild animal preserve can support no more than 250 lowland gorillas. Twenty-eight gorillas were known to be in the preserve in 1970. Assume that the rate of growth of the population is • Where time t is in years. • Find a formula for the gorilla population in terms of t. • How long will it take the gorilla population to reach the carrying capacity of the preserve?

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