Concept explainers
The solutions of the given discrete-time dynamical systems at t = 20
Answer to Problem 22E
Hence, the above result is getting closer to the value 8 and settling there, which is quite reasonable.
Explanation of Solution
Given:
The discrete- time dynamical system for volume:
The initial condition is
Calculation:
The subsequent values can be calculated by repeatedly applying the discrete-time dynamical system,
Hence, the values obtained are
After t times,
Hence, the solution to given discrete time dynamical system is
At t = 20,
Graph can be drawn as
Hence, the above result is getting closer to the value 8 and settling there, which is quite reasonable.
Want to see more full solutions like this?
Chapter 1 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,