To find the predicted density of the species and to identify the species that will use most energy using the given information
Answer to Problem 68E
The predicted density of the species with the mass of
The species with a mass of
Explanation of Solution
Given information:
Calculation:
Consider the following function:
Here,
mammal.
If an unlikely
Let us substitute
When finding the predicted density of a species with a mass of
Hence, the predicted density of the species with the mass of
The predicted density is less than the initial value of
Now, the total mass of the mammals is
We know that
Thus, we get
Again, to find the predicted density of the species with a mass of
Hence, the predicted density of the species with the mass of
The predicted density is less than the initial value,
According to the metabolic scaling law,
When finding the energy used by a species with a mass of
Hence, the energy used by a species with using down mass of
When finding the energy used by species with mass of
Therefore, the energy used by a species with the mass of
So, according to the metabolic scaling law, the species with a mass of
energy.
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Chapter 1 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
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