Find the Length of the Curve $$y = \int _ { 1 } ^ { x } \sqrt { t ^ { 2 } - 1 } d t , 3 \leq x \leq 6$$

question 108

Multiple Choice

Find the length of the curve.
- $$y = \int _ { 1 } ^ { x } \sqrt { t ^ { 2 } - 1 } d t , 3 \leq x \leq 6$$

• A) 18
• B) \(\frac { 27 } { 2 }\)
• C) 9
• D) 27

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Definitions:

Constant Ratio

A fixed ratio that remains unchanged over time or under various conditions.

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