Find the Length of the Curve $$x = 6 \sin t - 6 t \cos t , y = 6 \cos t + 6 t \sin t , 0 \leq t \leq \frac { \pi } { 4 }$$

question 379

Multiple Choice

Find the length of the curve.
- $$x = 6 \sin t - 6 t \cos t , y = 6 \cos t + 6 t \sin t , 0 \leq t \leq \frac { \pi } { 4 }$$

• A) \(\frac { 9 } { 8 } \pi ^ { 2 }\)
• B) \(\frac { 3 } { 4 } \pi ^ { 2 }\)
• C) \(\frac { 3 } { 4 } \pi\)
• D) \(\frac { 3 } { 16 } \pi ^ { 2 }\)