growth

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Quadratic growth

Difference equation : Quadratic Growth

Parameter Quadratic growth is constant of second difference, and parameter Quadratic growth is the value of x (1) when x (0) = 0

Functional shortcut: Quadratic Model

Characteristics:

  • Add amount that grows linearly with Quadratic growth
  • The first differences are arithmetic growth or linear
  • The second differences are constant

Try to experiment with the interactive program of Quadratic Growth Model below. Input the initial value x(0) and constant g and h then click "Find" button to find x(n) and to show the plot.

Initial value x(0) = Constant g = > 0 (must be positive) Constant h = Find the value of x at n =

Quadratic Graph Quadratic growth

  • The shape is Quadratic growth for positive Quadratic growth and Quadratic growth for negative Quadratic growth
  • The graph crosses the Quadratic growth -axis at (0, Quadratic growth )
  • The graph is symmetry with vertical symmetrical line at Quadratic growth
  • The highest or lowest point of the graph happens at Quadratic growth
  • The value Quadratic growth is called discriminant. If the discriminant is negative, the graph has no Quadratic growth intercept (does not cross to Quadratic growth -axis). If the discriminant is zero or positive, the graph has Quadratic growth intercept at Quadratic growth

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See also: Dynamical System tutorial

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This tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi (2015) Simple Growth Model. http:\\people.revoledu.com\kardi\ tutorial\Growth\