Find the Length of the Space Curve Given Below $\mathbf { r } ( t ) = 2 t \mathbf { i } + 5 \cos t \mathbf { j } + 5 \sin t \mathbf { k } , [ 0,3 ]$

question 62

Multiple Choice

Find the length of the space curve given below. $\mathbf { r } ( t ) = 2 t \mathbf { i } + 5 \cos t \mathbf { j } + 5 \sin t \mathbf { k } , [ 0,3 ]$

• A) \(\sqrt { 29 }\)
• B) 3
• C) \(3 \sqrt { 29 }\)
• D) \(6 \sqrt { 29 }\)
• E) 29

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