Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Arc Length
Implicit Differentiation
Quadratic Curves
Formulas
Arc Length Formula: P = ∫√(1 + (dy/dx)^2) dx
Implicit Differentiation: d/dx of both sides of the equation 3a*y^2 = x(x - 2)^2
Theorems
Implicit Differentiation
Arc Length Theorem
Suitable Grade Level
Undergraduate Mathematics or Advanced High School Calculus
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