1000 1+9e-t The number of minnows in a back yard pond is modelled by the equation P(t) = Where is the time in years. [3 marks, 7 marks] P(t) Determine P (0) and lim P(t) and explain both their meanings. t→∞0 9000e-t Given that P' (t) determine the point of inflection and explain its meaning. (1+9e-t)² = t
1000 1+9e-t The number of minnows in a back yard pond is modelled by the equation P(t) = Where is the time in years. [3 marks, 7 marks] P(t) Determine P (0) and lim P(t) and explain both their meanings. t→∞0 9000e-t Given that P' (t) determine the point of inflection and explain its meaning. (1+9e-t)² = t
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
Related questions
Question
The number of minnows in a backyard pond is modeled by the equation P(t) =1000/1+9e^-t
Where t is the time in years.
a) Determine P(0) and limt->infinity P (t) and explain both their meanings.
b) Given that P'(t) = 9000e^−t / (1+9e−t )2 , determine the point of inflection and explain its meaning.
![1000
1+9e-t
26.
The number of minnows in a back yard pond is modelled by the equation P(t) :
=
Where is the time in years. [3 marks, 7 marks]
P(t)
a)
Determine P (0) and lim P(t) and explain both their meanings.
9000e
b)
Given that P' (t):
=
determine the point of inflection and explain its meaning.
(1+9e-t)²
00×7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F240b11a4-c19d-4fe5-a56a-f16f7729b970%2Fec204595-6351-450b-ad04-93d550b6d9c2%2Fgq72s2_processed.png&w=3840&q=75)
Transcribed Image Text:1000
1+9e-t
26.
The number of minnows in a back yard pond is modelled by the equation P(t) :
=
Where is the time in years. [3 marks, 7 marks]
P(t)
a)
Determine P (0) and lim P(t) and explain both their meanings.
9000e
b)
Given that P' (t):
=
determine the point of inflection and explain its meaning.
(1+9e-t)²
00×7
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning