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Evaluate the Surface Integral of G Over the Surface S SS

Question 219

Multiple Choice

Evaluate the surface integral of G over the surface S.
- SS is the parabolic cylinder y=3x2,0x2y = 3 x ^ { 2 } , 0 \leq x \leq 2 and 0z4;G(x,y,z) =3x0 \leq z \leq 4 ; G ( x , y , z ) = 3 x


A) 19(1451451) \frac { 1 } { 9 } ( 145 \sqrt { 145 } - 1 )
B) 13(1451451) \frac { 1 } { 3 } ( 145 \sqrt { 145 } - 1 )
C) 19(145145+1) \frac { 1 } { 9 } ( 145 \sqrt { 145 } + 1 )
D) 13(145145+1) \frac { 1 } { 3 } ( 145 \sqrt { 145 } + 1 )

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