As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000 crocodiles. You initially release 5000 crocodiles into the farm. After 2 years, the crocodile population has increased to 7500. (a) In how many years will the population reach 10,000 if it follows the limited growth model? (b) In how many years will the population reach 19,999 if it follows the logistic growth model?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.1: Sequences
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 As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000 crocodiles. You initially release 5000 crocodiles into the farm. After 2 years, the crocodile population has increased to 7500. (a) In how many years will the population reach 10,000 if it follows the limited growth model? (b) In how many years will the population reach 19,999 if it follows the logistic growth model?

3. As the biologist for a certain crocodile farm, you know that its carrying
capacity is 20,000 crocodiles. You initially release 5000 crocodiles into the
farm. After 2 years, the crocodile population has increased to 7500. (a) In how
many years will the population reach 10,000 if it follows the limited growth
model? (b) In how many years will the population reach 19,999 if it follows the
logistic growth model?
Transcribed Image Text:3. As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000 crocodiles. You initially release 5000 crocodiles into the farm. After 2 years, the crocodile population has increased to 7500. (a) In how many years will the population reach 10,000 if it follows the limited growth model? (b) In how many years will the population reach 19,999 if it follows the logistic growth model?
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