Evaluate the Surface Integral of the Function G Over the Surface

question 253

Multiple Choice

Evaluate the surface integral of the function g over the surface S.
- $G ( x , y , z ) = \frac { y } { \sqrt { 36 y ^ { 2 } + 1 } } ; S$ is the surface of the parabolic cylinder $30 y ^ { 2 } + 10 z = 80$ bounded by the planes $x = 0 , x =$ 1 , $y = 0$ , and $z = 0$

• A) \(\frac { 40 } { 3 }\)
• B) \(\frac { 4 } { 3 }\)
• C) \(\frac { 32 } { 9 }\)
• D) \(\frac { 2 } { 15 }\)

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