The average number of fish per square kilometer in a lake is determined by the SDD 400xt 200 +0.2xt Xt+1 where t represents the time in years since the initial observation. (a) car n year 3 we observed 1100 fish per square kilometer. How many fish per kilometer square was there the previous year, in year 2? Give your answer with an accuracy of at least two decimal places. Réponse: *2 (Utiliser le point, pas la virgule, pour séparer les décimales des entiers.) (b) Give the iterative (or generator) function of this SDD. Think about parentheses! Réponse : f(x) =, Теxte (c) Determine the two fixed points (equilibrium points) of the SDD. Give these two points'of equilibrium p1

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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The average number of fish per square kilometer in a lake is determined by the SDD
400xt
200 + 0.2xt
Tt+1
where t represents the time in years since the initial observation.
(a)
n year 3 we observed 1100 fish per square kilometer. How many fish per kilometer
square was there the previous year, in year 2? Give your answer with an accuracy of at least two decimal places.
car
Réponse: x2
(Utiliser le point, pas la virgule, pour séparer les décimales des entiers.)
(b)
Give the iterative (or generator) function of this SDD. Think about parentheses!
Texte
Réponse : f(x) =
(c)
Determine the two fixed points (equilibrium points) of the SDD. Give these two points'of
equilibrium p1 <p2 in ascending orderm
Dor
Réponses : P1
< P2 =
Texte
(d) (3 points sur papier)
Texte
Texte
Find f '(x).
- Determine the stability of each of the fixed points p1 and p2 using the stability theorem.
- Write a sentence to explain what you think will happen to the fish population (if x3 = 1100) in the long term.
You need to justify your answer clearly, showing that you understand the Stability Theorem.
ng
%3D
Transcribed Image Text:The average number of fish per square kilometer in a lake is determined by the SDD 400xt 200 + 0.2xt Tt+1 where t represents the time in years since the initial observation. (a) n year 3 we observed 1100 fish per square kilometer. How many fish per kilometer square was there the previous year, in year 2? Give your answer with an accuracy of at least two decimal places. car Réponse: x2 (Utiliser le point, pas la virgule, pour séparer les décimales des entiers.) (b) Give the iterative (or generator) function of this SDD. Think about parentheses! Texte Réponse : f(x) = (c) Determine the two fixed points (equilibrium points) of the SDD. Give these two points'of equilibrium p1 <p2 in ascending orderm Dor Réponses : P1 < P2 = Texte (d) (3 points sur papier) Texte Texte Find f '(x). - Determine the stability of each of the fixed points p1 and p2 using the stability theorem. - Write a sentence to explain what you think will happen to the fish population (if x3 = 1100) in the long term. You need to justify your answer clearly, showing that you understand the Stability Theorem. ng %3D
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