Consider the function f(x) = x²e^(20x) f(x) has two inflection points at x = C and x = D with C

Question

Consider the function f(x) = x²e^(20x)
f(x) has two inflection points at x = C and x = D with C<D
where C is ______________
and D is _______________
Finally for each of the following intervals, tell whether f(x) is concave up or concave down.
a)   (-∞, C):___________
b)   (C, D): ___________
c)   (D, ∞):___________

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