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

question 121

Multiple Choice

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) \(52.03\)

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