Concept explainers
(a)
The total mass as a function of time
(a)
Answer to Problem 25E
Explanation of Solution
Given:
The population size is
The weight per person is
Calculation:
The total mass is the product of the number of individuals and the mass of each individual.
Hence, the total mass of the function will be
(b)
The value of derivative
(b)
Answer to Problem 25E
Explanation of Solution
Given:
The population size is
The weight per person is
Calculation:
The derivative of total mass of the function will be
(c)
The value of population, the mass of each individual and the total mass
(c)
Answer to Problem 25E
Explanation of Solution
Given:
The population size is
The weight per person is
Calculation:
The derivative is equal to zero, therefore,
The population at t = 6.67 will be
The weight per person will be
The total weight will be
The population at t = 100 will be
The weight per person will be
The total weight will be
(d)
To sketch: The total mass over the next 100 years.
(d)
Explanation of Solution
Given:
The population size is
The weight per person is
Calculation:
The graph for total mass can be drawn as
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Chapter 2 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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