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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) =62t3/2i+(9tsin⁡t) j+(9tcos⁡t) k;−3≤t≤7r ( 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

Correct Answer:

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