Assuming P20, suppose that a population develops according to the logistic equation -0.08P-0.0004p² where t is measured in weeks. Answer the following questions. 1. What is the carrying capacity? Carrying Capacity: 2. What is the value of k? Answer: k == dP dt 3. For what values of P is the population increasing? Answer (in interval notation): 4. For what values of P is the population decreasing? Answer (in interval notation):

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 50E
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Assuming P > 0, suppose that a population develops according to the logistic equation
= 0.08P-0.0004p²
where t is measured in weeks. Answer the following questions.
1. What is the carrying capacity?
Carrying Capacity:
2. What is the value of k?
Answer: k =
dP
dt
1.
1.
3. For what values of P is the population increasing?
Answer (in interval notation):
|||
4. For what values of P is the population decreasing?
Answer (in interval notation):
×
O
Transcribed Image Text:Assuming P > 0, suppose that a population develops according to the logistic equation = 0.08P-0.0004p² where t is measured in weeks. Answer the following questions. 1. What is the carrying capacity? Carrying Capacity: 2. What is the value of k? Answer: k = dP dt 1. 1. 3. For what values of P is the population increasing? Answer (in interval notation): ||| 4. For what values of P is the population decreasing? Answer (in interval notation): × O
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