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

Question 31

Multiple Choice

Evaluate
Sf(x,y) dS \iint_{S} f(x, y) d S , where f(x,y) =x+y f(x, y) =x+y and S S is given by r(u,v) =8cosui+8sinuj+vk,0uπ2,0v4\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

Correct Answer:

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