For the following problems, find an equilibrium value if one exists. Classify the equilibrium value as stable

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For the following problems, find an equilibrium value if one exists. Classify the equilibrium value as stable or unstable.

a. an+1 = 1.1an

Population 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0.05 0.00 0 10 20 30 40 50 60 70 80 90 100 Stage n r = 1.546

b. an+1 = 0.9an

Population 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0 10 20 30 40 50 60 70 80 90 100 Stage n r = 2.750

c. an+1= -0.9an

Population 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 | 0 10 20 30 40 50 60 70 80 90 100 Stage n r = 3.250

d. an+1 = an

Population 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 100 Stage n r = 3.525 200


e. an+1-1.2an +50

Population 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0 100 Stage n r = 3.555 200

f.an+1 1.2an - 50

Population 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0 100 Stage n r = 3.750 200

g. an+1 = 0.8an + 100

h. an+1 = 0.8an - 100

i. an +1 -0.8an + 100 =

j. an+1 an - 100

k. an+1 = an + 100

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Related Book For  book-img-for-question

A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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