Applied Calculus for the Managerial, Life, and Social Sciences
10th Edition
ISBN: 9781305887831
Author: Tan
Publisher: CENGAGE CO
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Chapter 9.3, Problem 29E
Von Bertalanffy Growth Model The von Bertalanffy growth model is used to predict the length of commercial fish. The model is described by the
where x(t ) is the length of the fish at time t, k is a positive constant called the von Bertalanffy growth rate, and L is the maximum length of the fish.
- a. Find x(t ) given that the length of the fish at t = 0 is x0.
- b. At the time the larvae hatch, the North Sea haddock are about 0.4 cm long, and the average haddock grows to a length of 10 cm after 1 year. Find an expression for the length of the North Sea haddock at time t.
- c. Plot the graph of x. Take L = 100 (cm).
- d. On average, the haddock that are caught today are between 40 cm and 60 cm long. What are the ages of the haddock that are caught?
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Chapter 9 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences
Ch. 9.1 - Prob. 1CQCh. 9.1 - Prob. 2CQCh. 9.1 - Prob. 3CQCh. 9.1 - Prob. 4CQCh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6E
Ch. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - SUPPLY AND DEMAND Let S(t) denote the supply of a...Ch. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - AMOUNT OF GLUCOSE IN THE BLOODSTREAM Suppose...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - GOMPERTZ GROWTH CURVE Suppose a quantity Q(t) does...Ch. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.2 - Prob. 1CQCh. 9.2 - Prob. 2CQCh. 9.2 - Prob. 3CQCh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - In Exercises 116, solve the first-order...Ch. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.3 - Prob. 1CQCh. 9.3 - Prob. 2CQCh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - NEWTONS LAW OF COOLING Newtons Law of Cooling...Ch. 9.3 - Prob. 9ECh. 9.3 - EXPONENTAL DECAY A radioactive isotope with an...Ch. 9.3 - RADIOACTIVE DECAY If 4 g of a radioactive...Ch. 9.3 - LEARNING CURVES The American Court Reporter...Ch. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - SINKING FUNDS The proprietor of Carson Hardware...Ch. 9.3 - Prob. 19ECh. 9.3 - GROWTH OF A FRUIT FLY COLONY A biologist has...Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Von Bertalanffy Growth Model The von Bertalanffy...Ch. 9.3 - Prob. 30ECh. 9.3 - Prob. 31ECh. 9.3 - MIXTURE PROBLEMS A tank initially contains 50 gal...Ch. 9.4 - Prob. 1CQCh. 9.4 - Prob. 2CQCh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9 - Prob. 1CRQCh. 9 - Prob. 2CRQCh. 9 - Prob. 3CRQCh. 9 - Prob. 4CRQCh. 9 - Prob. 5CRQCh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - RESALE VALUE OF A MACHINE The resale value of a...Ch. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 1BMCh. 9 - Prob. 2BMCh. 9 - Prob. 3BMCh. 9 - Prob. 4BM
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