(*^

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                                      Estimation and Limits -- Introduction

This notebook illustrates the way in which Mathematica  can be used to work with models like the model in this section for the concentration of Agent Yucky in Clear Lake..  The following cell defines that model.  Evaluate that cell now.
;[s]
5:0,3;75,0;120,1;131,0;290,2;314,-1;
4:2,13,9,Times,0,12,0,0,0;1,13,9,Times,2,12,0,0,0;1,13,9,Times,1,12,65535,0,0;1,13,9,Times,1,12,0,0,0;
:[font = input; preserveAspect; ]
pollution[1] := 10
pollution[n_] := 0.80 * pollution[n-1]
:[font = special1; inactive; preserveAspect; ]
Now you can examine the pollution in any year, for example, year 9, as illustrated in the cell below.  Evaluate that cell now.
;[s]
3:0,0;103,1;125,0;127,-1;
2:2,13,9,Times,0,12,0,0,0;1,13,9,Times,1,12,65535,0,0;
:[font = input; preserveAspect; ]
pollution[9]
:[font = special1; inactive; preserveAspect; ]
The cell below illustrates how Mathematica  can be used to print several years of a model.  Evaluate that cell now.
;[s]
4:0,0;31,1;42,0;92,2;116,-1;
3:2,13,9,Times,0,12,0,0,0;1,13,9,Times,2,12,0,0,0;1,13,9,Times,1,12,65535,0,0;
:[font = input; preserveAspect; ]
TableForm[Table[{i, pollution[i]}, {i, 1, 20}]]
:[font = special1; inactive; preserveAspect; ]
The cell below illustrates how Mathematica  can be used to plot several years of a model.  Evaluate that cell now.
;[s]
4:0,0;31,1;42,0;91,2;115,-1;
3:2,13,9,Times,0,12,0,0,0;1,13,9,Times,2,12,0,0,0;1,13,9,Times,1,12,65535,0,0;
:[font = input; preserveAspect; ]
ListPlot[Table[{i, pollution[i]}, {i, 1, 20}],
         PlotJoined -> True,
         PlotRange -> {0, 10}]
^*)