<PRE><B>Question 767740</B>
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Unless you have an infinite capacity bucket, you need a piecewise function.


Let *[tex \LARGE C_b] represent the total capacity of the bucket.  Then:


*[tex \LARGE A(b)\ =\ \left\{\begin{array}{lcr}4\,+\,b &amp; \text{if} &amp; C_b\,&gt;\,4\,+\,b\\C_b &amp; \text{if} &amp; C_b\,\leq\,4\,+\,b\\ \end{array}]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
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My calculator said it, I believe it, that settles it
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