Find the Length of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 4 \cos t \mathbf { j } + 4 \sin t \mathbf { k } , 0 \leq t \leq 2 \pi$

question 31

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 4 \cos t \mathbf { j } + 4 \sin t \mathbf { k } , 0 \leq t \leq 2 \pi$
Select the correct answer.

• A) \(2 \sqrt { 5 } \pi\)
• B) \(4 \sqrt { 5 } \pi\)
• C) \(2 \sqrt { 6 } \pi\)
• D) \(\sqrt { 6 } \pi\)

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