If varies directly as the square of and inversely as the cube of , and when and , find the value of when and . The value of is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of combined variation, specifically where a quantity varies directly with the square of one variable and inversely with the cube 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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