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) $\frac { 3 } { 16 } \pi ^ { 2 }$

Question

Quizplus · Accepted Answer

The Answer of 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) $\frac { 3 } { 16 } \pi ^ { 2 }$

Find the Length of the Curve x=6sin⁡t−6tcos⁡t,y=6cos⁡t+6tsin⁡t,0≤t≤π4x = 6 \sin t - 6 t \cos t , y = 6 \cos t + 6 t \sin t , 0 \leq t \leq \frac { \pi } { 4 }x=6sint−6tcost,y=6cost+6tsint,0≤t≤4π​

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