Evaluate the Surface Integral of the Function G Over the Surface

question 182

Multiple Choice

Evaluate the surface integral of the function g over the surface S.
- $G ( x , y , z ) = x ^ { 3 } y ^ { 3 } z ^ { 3 } ; S$ is the surface of the rectangular prism formed from the planes $x = \pm 3 , y = \pm 3$ , and $z = \pm 3$

• A) \(\frac { 531441 } { 4 }\)
• B) 0
• C) \(\frac { 19683 } { 16 }\)
• D) \(\frac { 531441 } { 16 }\)

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