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1. Let r = 0.5 and choose xo = 0.2. Either by hand or by using a computer, calculate the first 10 values in the %3D sequence. Does the sequence appear to converge? If so, to what value? Does it result in a cycle? If so, what kind of cycle (for example, 2- cycle, 4- cycle.)? 2. What happens when r= 2?

1. Let r = 0.5 and choose xo = 0.2. Either by hand or by using a computer, calculate the first 10 values in the %3D sequence. Does the sequence appear to converge? If so, to what value? Does it result in a cycle? If so, what kind of cycle (for example, 2- cycle, 4- cycle.)? 2. What happens when r= 2?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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f(x) = 3.55x(1 x) y = x Figure 4.84 A cobweb diagram for f(x) = 3.55x(1 - x) is presented here. The sequence of values results in an 8-cycle. 1. Let r = 0.5 and choose xo = 0.2. Either by hand or by using a computer, calculate the first 10 values in the sequence. Does the sequence appear to converge? If so, to what value? Does it result in a cycle? If so, what kind of cycle (for example, 2- cycle, 4- cycle.)? 2. What happens when r = 2?
Transcribed Image Text:f(x) = 3.55x(1 x) y = x Figure 4.84 A cobweb diagram for f(x) = 3.55x(1 - x) is presented here. The sequence of values results in an 8-cycle. 1. Let r = 0.5 and choose xo = 0.2. Either by hand or by using a computer, calculate the first 10 values in the sequence. Does the sequence appear to converge? If so, to what value? Does it result in a cycle? If so, what kind of cycle (for example, 2- cycle, 4- cycle.)? 2. What happens when r = 2?
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