The Work Done by the Force $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$

Multiple Choice

The work done by the force $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$ moving along $\mathbf { r } ( t ) = 3 \cos t \mathbf { i } + 3 \sin t \mathbf { j }$ with $0 \leq t \leq \frac { \pi } { 2 }$ is

A) $\frac { 9 ( 9 \pi + 16 ) } { 8 }$
B) $\frac { 9 ( 9 \pi - 16 ) } { 8 }$
C) $\frac { 9 ( 9 \pi + 16 ) } { 16 }$
D) $\frac { 9 ( 9 \pi - 16 ) } { 16 }$
E) $\frac { 9 ( 9 \pi + 16 ) } { 4 }$