The cutlassfish is a valuable resource in the marine fishing industry in China. A von Bertalanffy model is fit to data for one species of this fish giving the length of the fish, L(a) (in mm), as a function of the age, a (in yr). An estimate of the length of this fish is L(a) = 612 – 400e-0.17a . Differentiate L(a) with respect to a, L'(a) = I mm/yr. Determine how fast the average fish is growing when it is 7 years old. L'(7) = H mm/yr.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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The cutlassfish is a valuable resource in the marine fishing industry in China. A von Bertalanffy model is fit to data for one species
of this fish giving the length of the fish, L(a) (in mm), as a function of the age, a (in yr). An estimate of the length of this fish is
L(a) = 612 – 400e-0.17a .
Differentiate L(a) with respect to a,
L'(a) =
I mm/yr.
Determine how fast the average fish is growing when it is 7 years old.
L'(7) =
H mm/yr.
Transcribed Image Text:The cutlassfish is a valuable resource in the marine fishing industry in China. A von Bertalanffy model is fit to data for one species of this fish giving the length of the fish, L(a) (in mm), as a function of the age, a (in yr). An estimate of the length of this fish is L(a) = 612 – 400e-0.17a . Differentiate L(a) with respect to a, L'(a) = I mm/yr. Determine how fast the average fish is growing when it is 7 years old. L'(7) = H mm/yr.
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