Find the Length of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 3 }$

question 46

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + t ^ { 2 } \mathbf { j } + \ln t \mathbf { k } , 1 \leq t \leq e ^ { 3 }$ .
Select the correct answer.

• A) \(e ^ { 6 }\)
• B) \(e ^ { 3 }\)
• C) \(e ^ { 6 } + 2\)
• D) \(e ^ { 3 } + 2\)

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