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Let F(x,y,z)=2xi2xj+z2k\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k }

Question 106

Multiple Choice

Let F(x,y,z) =2xi2xj+z2k\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } - 2 x \mathbf { j } + z ^ { 2 } \mathbf { k } and S is the region bounded by and x=0,x=3x = 0 , x = 3 . Using the Divergence Theorem, S\iint S y=0,y=3y = 0 , y = 3 is


A) 54
B) 63
C) 72
D) 81
E) 108

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