Consider the updating function pt+1 = 0.5pt + 4, which measures population after t years. (a) Sketch the graph of the updating function, correctly labeling all axes (b) If p0 = 20, complete the following table to determine the value of p3. t pt pt+1 0     1     2     p3=_______ (c) Find the equilibrium point of this system algebraically. You must show the equation you are using to find the equilibrium point, as well as solve the equation

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 Consider the updating function pt+1 = 0.5pt + 4, which measures population after t years.
(a) Sketch the graph of the updating function, correctly labeling all axes
(b) If p0 = 20, complete the following table to determine the value of p3.

t pt pt+1
0    
1    
2    

p3=_______

(c) Find the equilibrium point of this system algebraically. You must show the equation you are using to find the equilibrium point, as well as solve the equation

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