Evaluate $\iint_{S} f(x, y) d S$ , Where $f(x, y)=x+y$

question 31

Multiple Choice

Evaluate
$\iint_{S} f(x, y) d S$ , where $f(x, y) =x+y$ and $S$ is given by $\mathbf { r } ( u , v ) = 8 \cos u \mathbf { i } + 8 \sin u \mathbf { j } + v \mathbf { k } , 0 \leq \mathrm { u } \leq \frac { \pi } { 2 } , 0 \leq v \leq 4$

• A) 8
• B) 32
• C) 16
• D) 96
• E) 512

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