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Find the Length of the Curve r(t)=8ti+3costj+3sintk\mathbf { r } ( t ) = 8 t \mathbf { i } + 3 \cos t \mathbf { j } + 3 \sin t \mathbf { k }

Question 15

Multiple Choice

Find the length of the curve r(t) =8ti+3costj+3sintk\mathbf { r } ( t ) = 8 t \mathbf { i } + 3 \cos t \mathbf { j } + 3 \sin t \mathbf { k } 0t2π0 \leq t \leq 2 \pi


A) 2732 \sqrt { 73 } π\pi
B) 73\sqrt { 73 } π\pi
C) 11\sqrt { 11 } π\pi
D) 2112 \sqrt { 11 } π\pi

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