Math Problem Statement
area of the outer loop of r= 3+6costheta
Solution
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Math Problem Analysis
Mathematical Concepts
Polar Coordinates
Integration
Area Calculation
Formulas
Area formula in polar coordinates: A = (1/2) ∫ r^2 dθ
Trigonometric identity: cos^2(θ) = (1 + cos(2θ))/2
Theorems
Integration in Polar Coordinates
Trigonometric Identities
Suitable Grade Level
Grades 11-12
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