Determine when the following steady states are stable: (a) Xn+1 = rx(1 - xn), x=0 (b) Xn+1 = x²(1 - xn), (c) Xn+1 = 1/(2 + xn), (d) Xn+1 = Xn In x², x = (1 + √5)/2 x = √2-1 x = ¹/2 Sketch the functions f(x) given in this problem. Use the cobwebbing method to sketch the approximate behavior of solutions to the equations from some initial starting value of xo.

Determine when the following steady states are stable: (a) Xn+1 = rx(1 - xn), x=0 (b) Xn+1 = x²(1 - xn), (c) Xn+1 = 1/(2 + xn), (d) Xn+1 = Xn In x², x = (1 + √5)/2 x = √2-1 x = ¹/2 Sketch the functions f(x) given in this problem. Use the cobwebbing method to sketch the approximate behavior of solutions to the equations from some initial starting value of xo.

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 17E

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