Evaluate the Surface Integral $\iint _ { S } ( x + y + z ) d S$

question 240

Multiple Choice

Evaluate the surface integral $\iint _ { S } ( x + y + z ) d S$ , where S is that part of the plane $z = x$ that lies above the square with vertices $( 0,0 ) , ( 1,0 ) , ( 0,1 )$ , and $( 1,1 )$ .

• A) \(1\)
• B)\(\sqrt { 2 }\)
• C) \(\sqrt { 3 }\)
• D)\(\frac { 3 } { 2 }\)
• E)\(\frac { \sqrt { 2 } } { 2 }\)
• F)\(\frac { \sqrt { 3 } } { 2 }\)
• G)\(\frac { \sqrt { 2 } } { 3 }\)
• H)\(\frac { 3 \sqrt { 2 } } { 2 }\)

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