Evaluate $\iint _ { S } f ( x , y , z ) d S$

question 61

Multiple Choice

Evaluate $\iint _ { S } f ( x , y , z ) d S$ . $f ( x , y , z ) = x + y$ ; S is the part of the plane $7 x + 3 y + z = 21$ in the first octant.

• A) 0
• B) \(\sqrt { 327 }\)
• C) \(35\) \(\sqrt { 59 }\)
• D) \(2 \sqrt { 139 }\)

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