Concept explainers
a
To calculate: To find the total salt of the lake before the inflow using the given information
a
Answer to Problem 41E
The total salt before the inflow and outflow is
Explanation of Solution
Given information:
Calculation:
We ate given that there is no evaporation in the lake and that
Let
Therefore, the total salt before the inflow and outflow is
b
To calculate: To find the total water in the lake using the given information
b
Answer to Problem 41E
The total water in the lake is
Explanation of Solution
Given information:
Calculation:
So, total water in the lake will be
(The lake containing
Hence, total water in the lake is as follows:
Therefore, the total water in the lake is
c
To calculate: To find the total salt in the lake using the given information
c
Answer to Problem 41E
The total salt in the lake is
Explanation of Solution
Given information:
Calculation:
Here, the total salt in the lake will be the total salt before the inflow plus one thousandth of receiving water by the lake
Hence, the total salt in the lake is shown below:
Therefore, the total salt in the lake is
d
To calculate: To find the total salt concentration, total water and total salt using the given information
d
Answer to Problem 41E
The total salt concentration is
The discrete-time dynamical system is
Explanation of Solution
Given information:
Calculation:
The total salt concentration
Therefore, the total salt concentration is
Furthermore, this total salt concentration
Hence, the discrete-time dynamical system is
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Chapter 1 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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