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(t) (in mm), as a function of the age, a (in yr). An estimate of the length of this fish is L(a) = 586 - 375e a. The L-intercept is mm. There is a horizontal asymptote at L = -0.154a The maximum possible length of this fish is L = = mm. mm. b. Determine how long it takes for this fish to reach 90 percent of its maximum length. ago years. You should sketch a graph of the von Bertalanffy model. = c. Differentiate L(a) with respect to a, L'(a) = umm/yr. Determine how fast the average fish is growing when it is 8 years old. L' (8) = umm/yr.
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(t) (in mm), as a function of the age, a (in yr). An estimate of the length of this fish is L(a) = 586 - 375e a. The L-intercept is mm. There is a horizontal asymptote at L = -0.154a The maximum possible length of this fish is L = = mm. mm. b. Determine how long it takes for this fish to reach 90 percent of its maximum length. ago years. You should sketch a graph of the von Bertalanffy model. = c. Differentiate L(a) with respect to a, L'(a) = umm/yr. Determine how fast the average fish is growing when it is 8 years old. L' (8) = umm/yr.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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(t) (in mm), as a function of
the age, a (in yr). An estimate of the length of this fish
L(a) = 586 – 375e-0.154a
a. The L-intercept is mm.
There is a horizontal asymptote at L
=
mm.
The maximum possible length of this fish is L
=
mm.
b. Determine how long it takes for this fish to reach 90
percent of its maximum length.
ago =
years.
You should sketch a graph of the von Bertalanffy
model.
c. Differentiate L(a) with respect to a,
L' (a) =
μmm/yr.
Determine how fast the average fish is growing when
it is 8 years old.
L' (8) = μmm/yr.
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