Math Problem Statement

Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm²/s) is the area of the square increasing when the area of the square is 9 cm²?

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Rate of Change
Differentiation

Formulas

A = s²
dA/dt = 2s * ds/dt

Theorems

Chain Rule in Calculus

Suitable Grade Level

Grades 10-12

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