The function below represents a population of fish in a pond t years after a group of fish were initially placed in the pond (the pond did not have any fish before this). Please answer the following. 2400 P(t) 1 +23e-0.2t a. How many fish were initially placed in the pond, t = 0? b. How many fish are in the pond after 10 years? Please show an exact answer, and then you can use a calculator to give an approximate answer as well. c. What value does the population approach as time goes on, too?
The function below represents a population of fish in a pond t years after a group of fish were initially placed in the pond (the pond did not have any fish before this). Please answer the following. 2400 P(t) 1 +23e-0.2t a. How many fish were initially placed in the pond, t = 0? b. How many fish are in the pond after 10 years? Please show an exact answer, and then you can use a calculator to give an approximate answer as well. c. What value does the population approach as time goes on, too?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![The function below represents a population of fish in a pond \( t \) years after a group of fish were initially placed in the pond (the pond did not have any fish before this). Please answer the following.
\[
P(t) = \frac{2400}{1 + 23e^{-0.2t}}
\]
a. How many fish were initially placed in the pond, \( t = 0 \)?
b. How many fish are in the pond after 10 years? Please show an exact answer, and then you can use a calculator to give an approximate answer as well.
c. What value does the population approach as time goes on, \( t \to \infty \)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa923b6f-81dd-482c-8885-6de6bc295751%2F226122db-f1ff-4674-99bb-58afa3861897%2Fo42ty59_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function below represents a population of fish in a pond \( t \) years after a group of fish were initially placed in the pond (the pond did not have any fish before this). Please answer the following.
\[
P(t) = \frac{2400}{1 + 23e^{-0.2t}}
\]
a. How many fish were initially placed in the pond, \( t = 0 \)?
b. How many fish are in the pond after 10 years? Please show an exact answer, and then you can use a calculator to give an approximate answer as well.
c. What value does the population approach as time goes on, \( t \to \infty \)?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
