Raymond B. answered • 04/12/23
Tutor
5
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Math, microeconomics or criminal justice
b) x(1-x) = x -x^2
f'(x) = 1-2x = 0
2x = 1
x = 1/2
f(1/2) = 1/2 - (1/2)^2 = 1/2-1/4 = 1/4 = maximum value
f(x) is a downward opening parabola with vertex = (1/2, 1/4)
= maximum point on the parabola with y=1/4
