Evaluate the line integral
$\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}$

where $\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }$ and $C$ is the arc of the circle $x ^ { 2 } + y ^ { 2 } = 16$ traversed counterclockwise from $( 4,0 )$ to $( 0 , - 4 )$. Round your answer to two decimal places.
A) $54.03$
B) $53.03$
C) $55.03$
D) $51.03$
E) $52.03$

Question

Evaluate the line integral
$\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}$

where $\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }$ and $C$ is the arc of the circle $x ^ { 2 } + y ^ { 2 } = 16$ traversed counterclockwise from $( 4,0 )$ to $( 0 , - 4 )$. Round your answer to two decimal places.
A) $54.03$
B) $53.03$
C) $55.03$
D) $51.03$
E) $52.03$

Quizplus · Accepted Answer

The Answer of Evaluate the line integral
$\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}$

where $\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }$ and $C$ is the arc of the circle $x ^ { 2 } + y ^ { 2 } = 16$ traversed counterclockwise from $( 4,0 )$ to $( 0 , - 4 )$. Round your answer to two decimal places.
A) $54.03$
B) $53.03$
C) $55.03$
D) $51.03$
E) $52.03$

Evaluate the Line Integral ∫CF⋅dr\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}C∫​F⋅dr Where F(x,y)=(x−y)i+(xy)j\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }F(x,y)=(x−y)i+(xy)j

Evaluate the Line Integral $\underset{C}{\int} \mathbf{F} \cdot d \mathbf{r}$ Where $\mathbf { F } ( x , y ) = ( x - y ) \mathbf { i } + ( x y ) \mathbf { j }$