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Pronghorn Fawns The field metabolic rate (FMR), or the
Chapter 4, Problem 62A(choose chapter or problem)
Problem 62A
Pronghorn Fawns The field metabolic rate (FMR), or the total energy expenditure per day in excess of growth, can be calculated for pronghorn fawns using Nagy’s formula,
F(x) = 0.774 + 0.727 log x,
where x is the mass (in grams) of the fawn and F(x) is the energy expenditure (in kJ/day). Source: Animal Behavior.
a. Determine the total energy expenditure per day in excess of growth for a pronghorn fawn that weighs 25,000 g.
b. Find F′(25,000) and interpret the result.
c. Graph the function on [5000, 30,000] by [3, 5].
Questions & Answers
QUESTION:
Problem 62A
Pronghorn Fawns The field metabolic rate (FMR), or the total energy expenditure per day in excess of growth, can be calculated for pronghorn fawns using Nagy’s formula,
F(x) = 0.774 + 0.727 log x,
where x is the mass (in grams) of the fawn and F(x) is the energy expenditure (in kJ/day). Source: Animal Behavior.
a. Determine the total energy expenditure per day in excess of growth for a pronghorn fawn that weighs 25,000 g.
b. Find F′(25,000) and interpret the result.
c. Graph the function on [5000, 30,000] by [3, 5].
ANSWER:
Solution:-
Step1
Given that
a. We have to determine the total energy expenditure per day in excess of growth for a pronghorn fawn that weighs 25,000 g.
Step2
We have
The total energy expenditure per day in excess of growth, can be calculated for pronghorn fawns using Nagy’s formula,
---------------(1)
where x is the mass (in grams) of the fawn and F(x) is the energy expenditure (in kJ/day).
Now
The total energy expenditure per day in excess of growth for a pronghorn fawn that weighs 25,000 g is
= 0.774+0.727
=
=