Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Trigonometry
Parametric Equations
Chain Rule

Formulas

dx/dθ = 3 * Sec(3θ) * Tan(3θ)
dy/dθ = -3 * Sec²(3θ)
dy/dx = -Cot(3θ)
d²y/dx² = (d/dθ(Cot(3θ)) / (dx/dθ))

Theorems

Chain Rule
Trigonometric Identities

Suitable Grade Level

Grades 11-12