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

Question 61

Multiple Choice

Evaluate Sf(x,y,z) dS\iint _ { S } f ( x , y , z ) d S . f(x,y,z) =x+yf ( x , y , z ) = x + y ; S is the part of the plane 7x+3y+z=217 x + 3 y + z = 21 in the first octant.


A) 0
B) 327\sqrt { 327 }
C) 3535 59\sqrt { 59 }
D) 21392 \sqrt { 139 }

Correct Answer:

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