(a)
To find: The graph for the given condition.
(a)
Explanation of Solution
Given:
The equation is,
Calculation:
Let initial be
The population for first generation is,
The population for second generation is,
The population for third generation is,
The population for tenth generation is,
Now,
Plot the graph,
Figure 1
Thus, the graph for the given condition is shown in figure 1.
(b)
To find: The graph for the given condition.
(b)
Explanation of Solution
Given:
The equation is,
Calculation:
Let initial be
The population for first generation is,
The population for second generation is,
The population for third generation is,
The population for tenth generation is,
Now,
Plot the graph,
Figure 2
Thus, the graph for the given condition is shown in figure 2.
(c)
To find: The graph for the given condition.
(c)
Explanation of Solution
Given:
The equation is,
Calculation:
Let initial be
The population for first generation is,
The population for second generation is,
The population for third generation is,
The population for tenth generation is,
Now,
Plot the graph,
Figure 3
Thus, the graph for the given condition is shown in figure 3.
(d)
To find: The graph for the given condition.
(d)
Answer to Problem 49E
The graph for the given condition is shown in figure 4.
Explanation of Solution
Given:
The equation is,
Calculation:
Let initial be
The population for first generation is,
The population for second generation is,
The population for third generation is,
The population for tenth generation is,
Now,
Plot the graph,
Figure 4
Thus, the graph for the given condition is shown in figure 4.
(e)
To find: The model when run for 15 steps.
(e)
Answer to Problem 49E
After fifteen steps, the value becomes negative.
Explanation of Solution
Given:
The equation is,
Calculation:
The population for fifteenth generation is,
Now,
Thus, after fifteen steps, the value becomes negative.
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Chapter 1 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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