If varies directly as the product of and and inversely as the square of , and when , , and , find the value of when , , and . The value of is .
Answer & Analysis
Analysis
Question Analysis
This problem evaluates the student's ability to handle combined variation, where a quantity varies directly with the product of two variables and inversely with the square of another.
Key Concept Explanation
Combined variation involves both direct and inverse relationships. Here, varies directly as and inversely as . The relationship can be expressed as .
Step-by-step Solution
1. Given:
2. Substitute known values:
3. Simplify:
4. Solve for
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