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Find the Length of the Curve r=3sin3(θ3),0θπ2r = 3 \sin ^ { 3 } \left( \frac { \theta } { 3 } \right) , 0 \leq \theta \leq \frac { \pi } { 2 }

Question 363

Multiple Choice

Find the length of the curve.
-The curve r=3sin3(θ3) ,0θπ2r = 3 \sin ^ { 3 } \left( \frac { \theta } { 3 } \right) , 0 \leq \theta \leq \frac { \pi } { 2 }


A) 98(5π8) \frac { 9 } { 8 } ( 5 \pi - 8 )
B) 964(5π93) \frac { 9 } { 64 } ( 5 \pi - 9 \sqrt { 3 } )
C) 3(33π) 3 ( 3 \sqrt { 3 } - \pi )
D) 38(2π33) \frac { 3 } { 8 } ( 2 \pi - 3 \sqrt { 3 } )

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