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Calculate the Arc Length of the Indicated Portion of the Curve

Question 1

Multiple Choice

Calculate the arc length of the indicated portion of the curve r(t) .
- r(t) =(8+2t2) i+(2t27) j+(7t2) k,1t2\mathbf { r } ( \mathrm { t } ) = \left( 8 + 2 \mathrm { t } ^ { 2 } \right) \mathbf { i } + \left( 2 \mathrm { t } ^ { 2 } - 7 \right) \mathbf { j } + \left( 7 - \mathrm { t } ^ { 2 } \right) \mathbf { k } , - 1 \leq t \leq 2


A) 9
B) 45
C) 27
D) 15

Correct Answer:

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