Question 348989
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We know that the summer solstice happens around June 21 every year, so that is where we should be looking for the answer to this problem.  Note that the summertime function (the one that applies in the range day 84 to day 263) has a lead coefficient that is less than zero, hence the parabola for the middle part of the year opens downward.  Hence the vertex of this parabola will be a maximum.


For a parabola represented by the function:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \rho(x)\ =\ ax^2\ +\ bx +\ c]


Has an *[tex \Large x]-coordinate given by *[tex \Large \frac{-b}{2a}].  Calculate the *[tex \Large x]-coordinate of the middle quadratic and you have your answer.


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