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

Question 41

Multiple Choice

Evaluate
Sf(x,y) dS\iint_{S} f ( x , y ) d S , where f(x,y) =y+3f ( x , y ) = y + 3
S:r(u,v) =ui+vj+v10k,0u1,0v10S : \mathbf { r } ( u , v ) = u \mathbf { i } + v \mathbf { j } + \frac { v } { 10 } \mathbf { k } , 0 \leq \mathrm { u } \leq 1,0 \leq v \leq 10


A) 61016 \sqrt { 101 }
B) 81018 \sqrt { 101 }
C) 62016 \sqrt { 201 }
D) 0
E) 82018 \sqrt { 201 }

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