Find the Length of the Curve $\mathbf { r } ( t ) = \left\langle \sin 2 t , \cos 2 t , 2 t ^ { \frac { 3 } { 2 } } \right\rangle 0 \leq t \leq 1$

question 34

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = \left\langle \sin 2 t , \cos 2 t , 2 t ^ { \frac { 3 } { 2 } } \right\rangle 0 \leq t \leq 1$

• A) \(\frac { 2 } { 27 } ( 13 \sqrt { 13 } - 8 )\)
• B) \(\frac { 13 } { 9 }\)
• C) \(\frac { 13 \sqrt { 13 } - 6 } { 27 }\)
• D) \(\frac { 16 } { 9 }\)
• E) \(\frac { 10 } { 27 } ( \sqrt { 13 } - 2 )\)
• F) \(\frac { 19 } { 9 }\)
• G) \(\frac { 4 } { 9 } ( 7 \sqrt { 7 } - 2 )\)
• H) \(\frac { 22 } { 9 }\)

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