Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Critical Points
Derivatives
Transcendental Equations
Formulas
y' = sin(3x - 5) + 3x cos(3x - 5) + 0.012x^2 (first derivative)
y = x sin(3x - 5) + 0.004x^3 (original function)
Theorems
Critical points theorem (set derivative equal to 0 to find critical numbers)
Suitable Grade Level
Undergraduate Calculus or Advanced High School Calculus
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