Evaluate the surface integral of G over the surface S.
-$S$ is the dome $z = 7 - 10 x ^ { 2 } - 10 y ^ { 2 } , z \geq 0 ; G ( x , y , z ) = \frac { 1 } { \sqrt { 400 \left( x ^ { 2 } + y ^ { 2 } \right) + 1 } }$
A) $98 \pi$
B) 98
C) $7 \pi$
D) $\frac { 7 } { 10 } \pi$

Question

Quizplus · Accepted Answer

The surface integral can be evaluated using polar coordinates and symmetry. The integral simplifies to $\frac{7}{10} \pi$ after evaluating the bounds and the function over the circular region.

Evaluate the Surface Integral of G Over the Surface S SSS

Evaluate the Surface Integral of G Over the Surface S $S$