Using the Divergence Theorem, Find the Outward Flux of F

question 103

Multiple Choice

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.
-F = zi + xyj + zyk; D: the solid cube cut by the coordinate planes and the planes x = 2, y = 2, and z = 2

• A) 32
• B) 4
• C) 16
• D) 2

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Definitions:

Purely Competitive Market

A market structure characterized by many buyers and sellers, freedom of entry and exit, and a product that is homogeneous across producers.

Equilibrium Price

The price at which the quantity of goods supplied is equal to the quantity of goods demanded; the market price where no surplus or shortage exists.

Marginal Revenue

The additional income earned from selling one more unit of a good or service; it's a crucial concept for understanding how firms decide on output levels.

Purely Competitive Industry

An industry characterized by a large number of small firms producing identical products with no single firm able to influence the market price.