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

question 89

Multiple Choice

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

• A) \(2 \pi \sqrt { 2 }\)
• B) \(\pi \sqrt { 10 }\)
• C) \(2 \pi \sqrt { 3 }\)
• D) \(\pi \sqrt { 14 }\)
• E) \(4 \pi\)
• F)
• \(3 \pi \sqrt { 2 }\)
• G) \(2 \pi \sqrt { 5 }\)

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