Evaluate the Surface Integral of G Over the Surface S $\mathrm { S }$

question 135

Multiple Choice

Evaluate the surface integral of G over the surface S.
- $\mathrm { S }$ is the portion of the cone $\mathrm { z } = 3 \sqrt { \mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } } , 0 \leq \mathrm { z } \leq 3 ; \mathrm { G } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = \mathrm { z } - \mathrm { y }$

• A) \(\frac { 2 } { 9 } \sqrt { 10 } \pi\)
• B) \(\frac { 2 } { 3 } \sqrt { 10 } \pi\)
• C) \(2 \sqrt { 10 }\)
• D) \(2 \sqrt { 10 } \pi\)

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