Let \( a \) and \( b \) be positive constants. Prove that if \( x \)
is positive then
\[ a^{3}x^{2} + b^{3}/x \geq (2^{1/3} + 2^{-2/3}) ab^{2 } \]
Tags: max-min, inequalities, quadratic, rational, composite, proof, a--a, computation, t2, c3
In the context of a review exam, this would be a difficult review problem. However, it really forces students to think about how they can apply the knowledge they know.
– Darrin Visarraga 1998-08-09