Evaluate the surface integral 
for the given vector field F and the oriented surface S. In other words, find the flux of F across S. 
in the first octant,
with orientation toward the origin.
Definitions:
Competitive Free Market
A market structure where many firms offer products or services that are similar, allowing for free entry and exit, with prices determined by supply and demand forces.
Marginal External Cost
The cost imposed on a third party not involved in a transaction or activity due to an additional unit of production.
Methane Gas
A potent greenhouse gas with a simple chemical formula CH4, commonly produced by the decomposition of organic materials and digestive processes of animals.
Sulfur Emissions
The release of sulfur compounds into the atmosphere, primarily from the burning of fossil fuels, which can cause environmental damage.
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