Evaluate the surface integral of the function g over the surface S.
-G(x, y, z) = x + z; S is the surface of the wedge formed from the coordinate planes and the planes x + z = 3 and y = 5
A) $63 + 45 \sqrt { 2 }$
B) $72 + 45 \sqrt { 2 }$
C) $63 + 15 \sqrt { 2 }$
D) $\frac { 81 } { 2 } + 45 \sqrt { 2 }$

Question

Evaluate the surface integral of the function g over the surface S.
-G(x, y, z) = x + z; S is the surface of the wedge formed from the coordinate planes and the planes x + z = 3 and y = 5 
A) $63 + 45 \sqrt { 2 }$
B) $72 + 45 \sqrt { 2 }$
C) $63 + 15 \sqrt { 2 }$
D) $\frac { 81 } { 2 } + 45 \sqrt { 2 }$

Quizplus · Accepted Answer

The surface integral is evaluated by considering the contributions from each face of the wedge. The integral over the plane x + z = 3 and the plane y = 5 are calculated separately and summed.

Evaluate the Surface Integral of the Function G Over the Surface