The work done by the force $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$ moving along $\mathbf { r } ( t ) = 4 \cos t \mathbf { i } + 4 \sin t \mathbf { j }$ with $0 \leq t \leq \frac { \pi } { 2 }$ is
A) $4 ( \pi + 1 )$
B) $8 ( \pi + 1 )$
C) $16 ( \pi + 1 )$
D) $22 ( \pi + 1 )$
E) $24 ( \pi + 1 )$

Question

Quizplus · Accepted Answer

The Answer of The work done by the force $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$ moving along $\mathbf { r } ( t ) = 4 \cos t \mathbf { i } + 4 \sin t \mathbf { j }$ with $0 \leq t \leq \frac { \pi } { 2 }$ is
A) $4 ( \pi + 1 )$
B) $8 ( \pi + 1 )$
C) $16 ( \pi + 1 )$
D) $22 ( \pi + 1 )$
E) $24 ( \pi + 1 )$

The Work Done by the Force F(x,y)=−x2yi+2yj\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }F(x,y)=−x2yi+2yj

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