Math Problem Statement
9–20 Find the exact length of the curve. x = ((y^1/2)/3)*(y-3) 1,9
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Integration
Arc Length
Formulas
Arc length formula: L = ∫ sqrt(1 + (dx/dy)^2) dy
Product rule for differentiation: d(uv)/dy = u'v + uv'
Theorems
Product Rule
Arc Length Formula
Suitable Grade Level
Undergraduate Calculus or Advanced High School
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