Name (#)-· report all ansuwers to 2 significant digits Problem 1: (adapted from Day and Stewart) In ecology the word "harvesting" can be used in the traditional agricultural sense or it can refer to fishing and hunting of animal populations. Predicting the effect of harvesting is an important role of Environment Canada. Here are two models of long-term population size N as a function of harvesting intensity h. Model 1: [2(1-h) h<1 h >1 N(h) (1) Model 2: (1+ v8 - 7h) h< h > N(h) A. Plot the long-term population size, N(h) for each model
Name (#)-· report all ansuwers to 2 significant digits Problem 1: (adapted from Day and Stewart) In ecology the word "harvesting" can be used in the traditional agricultural sense or it can refer to fishing and hunting of animal populations. Predicting the effect of harvesting is an important role of Environment Canada. Here are two models of long-term population size N as a function of harvesting intensity h. Model 1: [2(1-h) h<1 h >1 N(h) (1) Model 2: (1+ v8 - 7h) h< h > N(h) A. Plot the long-term population size, N(h) for each model
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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Transcribed Image Text:Student Name (#):
IQ4
report all answers to 2 significant digits
Problem 1: (adapted from Day and Stewart)
In ecology the word "harvesting" can be used in the traditional agricultural sense or it can refer
to fishing and hunting of animal populations. Predicting the effect of harvesting is an important
role of Environment Canada. Here are two models of long-term population size N as a function of
harvesting intensity h.
Model 1:
[ 2(1 – h) h<1
N(h)
h > 1
(1)
Model 2:
S{(1+ v8 – 7h) hs
h >
N(h)
A. Plot the long-term population size, N(h) for each model
Transcribed Image Text:B. For which model(s) is N(h) a continuous function for all h?
C. What is the value of N(h) at h = in Model 2?
D. The population size in equation (1) represents which of the following limits?
I. lim 00 N(t) = N(h)
II. lim,h N(t) = N(h)
III. lim; +N(h) N(t) = ∞
IV. lim+00 N(t) = ∞
||
t→∞
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