607Narrow.mws

Maple examples from class, 6/7/05 -- CF Example 3, page 94

>    f := x -> 2*x - 3*x^2;

f := proc (x) options operator, arrow; 2*x-3*x^2 end proc

>    plot(f, -1/10..3/4);

[Maple Plot]

>    NQ := x -> ( f(-2+x) - f(-2)  )/x;

NQ := proc (x) options operator, arrow; (f(-2+x)-f(-2))/x end proc

>    NQ(t);

(12+2*t-3*(-2+t)^2)/t

>    Narrow := -1..1;  

Narrow := -1 .. 1

>    Narrower := -1/100..1/100;  

Narrower := -1/100 .. 1/100

>    Narrowest := -1/100000..1/100000;

Narrowest := -1/100000 .. 1/100000

>    plot(NQ, Narrow);

[Maple Plot]

>    plot(NQ, Narrower);

[Maple Plot]

>    plot(NQ, Narrowest);

[Maple Plot]

>    Really_Narrow := -1E-12..1E-12;

Really_Narrow := -.1e-11 .. .1e-11

>    plot(NQ, Really_Narrow);

[Maple Plot]

>   

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