(*^

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          Estimation and Limits -- Multiplying a Function by a Constant

The following cell illustrates how Mathematica   can plot three functions on the same graph using three different colors.  This feature is very nice for comparing three different functions.  Evaluate the next cell now.  
;[s]
5:0,3;71,0;108,2;119,0;264,1;294,-1;
4:2,13,9,Times,0,12,0,0,0;1,13,9,Times,1,12,65535,0,0;1,13,9,Times,2,12,0,0,0;1,13,9,Times,1,12,0,0,0;
:[font = input; preserveAspect; ]
Plot[{Sin[x], 2 Sin[x], 0.5 Sin[x]},
     {x, -Pi, Pi},
     PlotStyle -> {{RGBColor[1, 0, 0]},
                   {RGBColor[0, 0, 1]},
                   {RGBColor[0, 1, 0]}}]
^*)