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The topic of inequalities is one that is sometimes included in calculus
courses, particularly during the study of domains and this is often extended to
graphing intersecting regions such as
()
}
2
,: 0.51 1xy y x y x
+∩ ≥ −
.
Although the hp 39g+ does not have the in-built ability to
plot inequalities, the process is easily handled using an
aplet from The HP HOME View web site
(at http://www.hphomeview.com) called “Inequations”. This allows the user
to plot individual or overlapping inequalities as shown right. It will not handle
dotted functions of the form y<f(x).
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A topic which is commonly taught as part of any calculus course is rectilinear
motion. This can be enhanced by using the Parametric aplet to graphically
illustrate the motion of a particle. If this is set up properly then it can be a
very helpful teaching aid, as the graph will slow down and speed up as it
appears, illustrating the velocity and acceleration of the particle.
See page 104 for a fully worked example of how the
Parametric aplet can be used to produce motion graphs
of the form shown right. The graph needs to be seen as
it is being drawn to appreciate how the particle slows down and speeds up as
it passes the turning points. Try it and see.
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For information on evaluation of limits on the hp 39g+ and, more importantly,
the pitfalls that lie in wait for the unwary, please read the information in the
chapter “Tips & Tricks - Function” on page 88.
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