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

A) $\frac { \pi + 4 } { 3 }$
B) $\frac { \pi + 4 } { 2 }$
C) $\pi + 4$
D) $2 ( \pi + 4 )$
E) $3 ( \pi + 4 )$

Question

The work done by the force

\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }

moving along

\mathbf { r } ( t ) = 2 \cos t \mathbf { i } + 2 \sin t \mathbf { j }

with

0 \leq t \leq \frac { \pi } { 2 }

is

A) $\frac { \pi + 4 } { 3 }$
B) $\frac { \pi + 4 } { 2 }$
C) $\pi + 4$
D) $2 ( \pi + 4 )$
E) $3 ( \pi + 4 )$

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 $\mathbf { r } ( t ) = 2 \cos t \mathbf { i } + 2 \sin t \mathbf { j }$ with $0 \leq t \leq \frac { \pi } { 2 }$ is

A) $\frac { \pi + 4 } { 3 }$
B) $\frac { \pi + 4 } { 2 }$
C) $\pi + 4$
D) $2 ( \pi + 4 )$
E) $3 ( \pi + 4 )$

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 $\mathbf { F } ( x , y ) = - x ^ { 2 } y \mathbf { i } + 2 y \mathbf { j }$