Question: The von Bertalanffy growth model is used to predict the length L(t) of a fish over a period of time. If L is the largest

The von Bertalanffy growth model is used to predict the length L(t) of a fish over a period of time. If L∞ is the largest length for a species, then the hypothesis is that the rate of growth in length is proportional to L∞ - L, the length yet to be achieved.
(a) Formulate and solve a differential equation to find an expression for L(t).
(b) For the North Sea haddock it has been determined that L∞ = 53 cm, L(0) = 10 cm, and the constant of proportionality is 0.2. What does the expression for L(t) become with these data?

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a dLdt L L dLdt kL L In L L kt C In L ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

786-C-D-E (695).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A multiple regression model is used to predict an NFL team's winning record (Win). For the explanatory variables, the average rushing yards (Rush) and the average passing yards (Pass) are used to...

If only one predictor (x) variable is used to predict the city fuel consumption, which single variable is best? Why? Refer to the accompanying table, which was obtained using the data from 21 cars...

For a steel alloy it has been determined that a carburizing heat treatment of 10-h duration will raise the carbon concentration to 0.45 wt% at a point 2.5 mm from the surface. Estimate the time...

2. The von Bertalanffy growth model is used to predict the length L(t) of a sh over a period of time. If LM is the largest length for a species, then the growth model states that the rate of growth...

The von Bertalanffy growth model is used to predict the length L(t) of a fish over a period of time. If L is the largest length for a species, then the hypothesis is that the rate of growth in length...

The average length in centimetres of a channel catfish (species ictalurus punctatus) at age t years is estimated by the von Bertalanffy growth model L() - GLACI - 0.76- 15) L(d) (em) 2 4 6 8 10 12 14...

2nd pic is part of a. graph can be done on Matlab or Maple software. a. Below are growth data for the Blue Marlin (Makaira mazara) [1]. Age (yr) Length (m) Age (yr) Length (m) 1 0.85 6 3.04 2 1.52 7...

QUESTION: Estimate an appropriate cost of capital to use in valuing the teak plantation investment. Please be sure to include a discussion of how you propose to adjust your cost of capital estimate...

The von Bertalanffy growth function Lstd L` 2 sL` 2 L0de2kt where k is a positive constant, models the length L of a fish as a function of t, the age of the fish. This model assumes that the fish...

.com/was/ui/v2/assessment-player/index.html?launchid=7cf6103b-7d15-4683-8671-0929346d0426#/question/5 iCloud @ MARI O BARIS WHEN B ER A PEAR of Apple# 8 { n ( M Safari +#) ( *#8X#* ( M Safari #9> (1)...

In the footnotes to its IFRS-based 2008 financial statements, European Aeronautical Defense and Space Company (EADS), parent company for Airbus, includes a description of a long-lived asset account...

The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investment...

The application layer of the TCP / IP model performs the functions of what three layers of the OSI model? ( Choose three. )

State University Public relations staff at State U. phoned 850 local residents. After identifying themselves, the callers asked the survey participants their ages, whether they had attended college,...

Sketch the graph by hand using asymptotes and intercepts, but not derivatives. Then use your sketch as a guide to producing graphs (with a graphing device) that display the major features of the...

Use a computer algebra system to graph f and to find f' and f''. Use graphs of these derivatives to estimate the intervals of increase and decrease, extreme values, intervals of concavity, and...

You are serving on a jury. A plaintiff is suing the city for injuries sustained after a freak street sweeper accident. In the trial, doctors testified that it will be five years before the plaintiff...

Assume the total cost of a college education will be $350,000 when your child enters college in 17 years. You presently have $56,000 to invest. What annual rate of interest must you earn on your...

Silven Industries, which manufactures and sells a highly successful line of summer lotions and insect repellents, has decided to diversify in order to stabilize sales throughout the year. A natural...