A salmon population is modelled by the DTDS X1+1 = 0.3 + x, • (a) ( Write down the updating function f(x) of this DTDS. • (b) Suppose we know that X10 = 0. 5. What is the value of X11? • (c) fixed points. Then solve the equation algebraically (that is, without using graphs). Write down the equation that we need to solve in order to find the

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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A salmon population is modelled by the DTDS
X+1 =
0.3 + x,
• (a) ( Write down the updating function f (x) of this DTDS.
(b) ( Suppose we know that X10 = 0. 5. What is the value of X11?
• (c)
SWrite down the equation that we need to solve in order to find the
fixed points. Then solve the equation algebraically (that is, without using
graphs).
• (d)
point. (No marks will be given if you use other methods.)
Use the Stability Theorem to determine the stability of each fixed
Transcribed Image Text:A salmon population is modelled by the DTDS X+1 = 0.3 + x, • (a) ( Write down the updating function f (x) of this DTDS. (b) ( Suppose we know that X10 = 0. 5. What is the value of X11? • (c) SWrite down the equation that we need to solve in order to find the fixed points. Then solve the equation algebraically (that is, without using graphs). • (d) point. (No marks will be given if you use other methods.) Use the Stability Theorem to determine the stability of each fixed
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