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A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?

A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?
Transcribed Image Text:A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?
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