Evaluate the surface integral of the function g over the surface S.
-$G ( x , y , z ) = \frac { y } { \sqrt { 36 y ^ { 2 } + 1 } } ; S$ is the surface of the parabolic cylinder $30 y ^ { 2 } + 10 z = 80$ bounded by the planes $x = 0 , x =$ 1 , $y = 0$, and $z = 0$
A) $\frac { 40 } { 3 }$
B) $\frac { 4 } { 3 }$
C) $\frac { 32 } { 9 }$
D) $\frac { 2 } { 15 }$

Question

Quizplus · Accepted Answer

The surface integral evaluates to $\frac { 4 } { 3 }$ by setting up the integral over the given bounds and solving.

Evaluate the Surface Integral of the Function G Over the Surface