Question 1165391
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The domain of any polynomial function is the set of real numbers, but in this case, any value of the independent variable that makes the value of the function negative is absurd and should therefore be excluded from the domain.  The graph of your function is a parabola that opens downward and the portion of the graph that is above the *[tex \Large x]-axis is the portion of the function that is positive.  Find the two zeros of your function and the domain is the OPEN interval between the two zeros.  The vertex of the parabola is at the value of *[tex \Large x] that provides the maximum area and the value of the function at that point is the value of that maximum area.


In general, for a rectangle with a given perimeter, a square yields the maximum area.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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I > Ø
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
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