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Find the Length of the Curve r(t)=2t,sint,cost,0t2π\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pi

Question 89

Multiple Choice

Find the length of the curve r(t) =2t,sint,cost,0t2π\mathbf { r } ( t ) = \langle 2 t , \sin t , \cos t \rangle , 0 \leq t \leq 2 \pi


A) 2π22 \pi \sqrt { 2 }

B) π10\pi \sqrt { 10 }
C) 2π32 \pi \sqrt { 3 }
D) π14\pi \sqrt { 14 }
E) 4π4 \pi
F)
3π23 \pi \sqrt { 2 }

G) 2π52 \pi \sqrt { 5 }

H) π22\pi \sqrt { 22 }

Correct Answer:

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