Concept explainers
Cobweb plots (ExH). Here we visualize the simplified version of the Verhuist equation as we’ve seen in Mindscapes 24 and 25. That is, we consider the equation
We can visualize this repeated process on the graph of our sad parabola by first drawing in the diagonal line,
Notice how different the paths look! The Heart of Mathematics Web site contains a program that allows you to see this repeated process for any starting value of x.
These paths are called cobweb plots. The cobweb plot records the results of a repeatedly applied transformation-namely, taking a value for x, applying the formula to find y, then taking that result as the next x and again applying the formula to find the next y, and so on.
Now consider the graph of
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
HEART OF MATHEMATICS
Additional Math Textbook Solutions
Fundamentals of Differential Equations and Boundary Value Problems
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Mathematics All Around (6th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Finite Mathematics & Its Applications (12th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning