The log of the field metabolic rate (FMR) or the log of the total energy expenditure per day in excess of growth is calculated for pronghorm fawns using Nagy's formula E(x) = 0.774 +0.716 ln(x), where x is the mass of the fawn (in g) and E(x) is the log of the energy expenditure (in kJ/day). a. Compute the derivative E'(x). E'(x) = kJ/day/day. b. Find the log of the energy expenditure when x = 13000, E(13000) = kJ/day. Compute E' (13000). E' (13000): = kJ/day/day.

College Algebra
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Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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The log of the field metabolic rate (FMR) or the log of the total energy expenditure
per day in excess of growth is calculated for pronghorm fawns using Nagy's formula
E(x) = 0.774 +0.716 ln(x),
where x is the mass of the fawn (in g) and E(x) is the log of the energy expenditure (in
kJ/day).
a. Compute the derivative E' (x).
E'(x) =
kJ/day/day.
b. Find the log of the energy expenditure when x = 13000,
E(13000) =
kJ/day.
Compute E' (13000).
E' (13000) =
You should think about the biological interpretation of these results and sketch the graph of
the function.
kJ/day/day.
Transcribed Image Text:The log of the field metabolic rate (FMR) or the log of the total energy expenditure per day in excess of growth is calculated for pronghorm fawns using Nagy's formula E(x) = 0.774 +0.716 ln(x), where x is the mass of the fawn (in g) and E(x) is the log of the energy expenditure (in kJ/day). a. Compute the derivative E' (x). E'(x) = kJ/day/day. b. Find the log of the energy expenditure when x = 13000, E(13000) = kJ/day. Compute E' (13000). E' (13000) = You should think about the biological interpretation of these results and sketch the graph of the function. kJ/day/day.
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