If $$\(0< a \leq b \leq 1\)$$ what is the maximum value of $$\(a b^{2}-a^{2} b\)$$ ?

A.
\(\frac{1}{4}\)
B.
\(\frac{1}{6}\)
C.
\(\frac{1}{8}\)
D.
\(\frac{1}{2}\)
Mathematics
Competition
Math League
Exam No:2018 First Round Grades 10-12 Year:2018 Question No:21

Answer:

A

Knowledge points:

G10-12 - Algebra - Functions (Composite, Inverse, Log, Exp)

Solution:

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