Calculate the Arc Length of the Indicated Portion of the Curve

question 47

Multiple Choice

Calculate the arc length of the indicated portion of the curve r(t) .
- $$r ( t ) = 6 \sqrt { 2 } t ^ { 3 / 2 } \mathbf { i } + ( 9 t \sin t ) \mathbf { j } + ( 9 t \cos t ) \mathbf { k } ; - 3 \leq t \leq 7$$

• A) 270
• B) 558
• C) 450
• D) 297

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