&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;%e&nbsp;&nbsp;(9&nbsp;-&nbsp;k&nbsp;)&nbsp;cos(k)&nbsp;-&nbsp;6&nbsp;%e&nbsp;&nbsp;k&nbsp;sin(k)

</pre>

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 <h2><a name="tth_sEc5">
5</a>&nbsp;&nbsp;Calculus <a name="sec:calculus">
</a></h2>

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Maxima can compute derivatives and integrals, expand in Taylor series,
take limits, and obtain exact solutions to ordinary differential
equations.  We begin by defining the symbol <tt>f</tt> to be the
following function of <tt