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400,000 8. A logistic model for a certain fish population is given by P(t) How fast is 50+7950e-0.5t* the population growing at t = 5?

400,000 8. A logistic model for a certain fish population is given by P(t) How fast is 50+7950e-0.5t* the population growing at t = 5?

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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**Logistic Model for Fish Population Growth** The logistic model for a certain fish population is described by the function: \[ P(t) = \frac{400,000}{50 + 7950e^{-0.5t}} \] **Question**: How fast is the population growing at \( t = 5 \)? To determine the rate of population growth at \( t = 5 \), you need to calculate the derivative \( P'(t) \) and evaluate it at \( t = 5 \). The derivative will give the rate of change of the population at that specific time.
Transcribed Image Text:**Logistic Model for Fish Population Growth** The logistic model for a certain fish population is described by the function: \[ P(t) = \frac{400,000}{50 + 7950e^{-0.5t}} \] **Question**: How fast is the population growing at \( t = 5 \)? To determine the rate of population growth at \( t = 5 \), you need to calculate the derivative \( P'(t) \) and evaluate it at \( t = 5 \). The derivative will give the rate of change of the population at that specific time.
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