Math Problem Statement
If xy² = 27, find minimum value of 32x + y where x and y > 0.
Solution
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Math Problem Analysis
Mathematical Concepts
Optimization
Derivatives
Algebra
Formulas
xy² = 27
x = 27 / y²
f(y) = 864 / y² + y
f'(y) = -1728 / y³ + 1
Theorems
Derivative Test for Minima
Suitable Grade Level
Grades 11-12
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