Posted by **john** on Tuesday, February 23, 2010 at 8:07pm.

Let f be the function defined by f(x) = (x

2

+ 1)e

-x

for -4 < x < 4.

a. For what value of x does f reach its absolute maximum? Justify your answer.

b. Find the x-coordinates of all points of inflection of f. Justify your answer.

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