Maple Tool1-4.mws

Maple Tool 1

This tool is designed to be used in connection with the zooming plots in Section 4.8.

We are plotting a portion of the graph of   y = t^2  from 1  to 1+Delta*t  for various values of Delta*t  together with the tangent line at t = 1 . The corresponding Delta*y  is calculated. Zoom in by plotting the graphs with Delta*t = 1 , Delta*t = .1 , Delta*t = 0 .01, and Delta*t = 0 .001 (or your own choice of values for Delta*t ).

>    y:=t->t^2;

Modify the value of Delta*t  in the line below. Then plot the corresponding graph.

>    Deltat:=1:

>    Deltay:=y(1+Deltat)-y(1):
T:=t->1+2*(t-1):
plot([y(t),T(t)],t=1..1+Deltat, view=[1..1+Deltat,1..1+Deltay], color=[red,blue]);
print(`Delta t`, Deltat);
print(`Delta y`, Deltay);

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