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• Math Help

In Example 6, the ratios of consecutive terms are not equal.

So, the pattern is not exponential.

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• Checkpoint Solution
1. False, a linear increase in diameter causes a linear increase in circumference. From Example 6, a linear increase in circumference causes a quadratic increase in muscle strength. So, a linear increase in diameter causes a quadratic increase in muscle strength.
2. True, a quadratic increase in diameter causes a quadratic increase in circumference. From Example 6, a quadratic increase in circumference causes a linear increase in muscle strength. So, a quadratic increase in diameter causes a linear increase in muscle strength.
3. True, a linear increase in cross sectional area causes a quadratic increase in diameter. From part (b), a quadratic increase in diameter causes a linear increase in cross sectional area. So, a linear increase in cross sectional area causes a linear increase in muscle strength.

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