Find the Potential Function F for the Field F $f ( x , y , z ) = x y + y ^ { 2 } - x z - y z + C$

question 171

Multiple Choice

Find the potential function f for the field F.
-F = (y - z) i + (x + 2y - z) j - (x + y) k

• A) \(f ( x , y , z ) = x y + y ^ { 2 } - x z - y z + C\)
• B) \(f ( x , y , z ) = x + y ^ { 2 } - x z - y z + C\)
• C) \(f ( x , y , z ) = x y + y ^ { 2 } - x - y + C\)
• D) \(f ( x , y , z ) = x \left( y + y ^ { 2 } \right) - x z - y z + C\)

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Definitions:

Cross-Examination

A stage in a trial where a witness is questioned by the opposing party to test their credibility and the truth of their statements.

Redirect Examination

The questioning of a witness following the adverse party's cross-examination.

Shutdown Rule

A short-term economic decision rule stating that a firm should continue operating if the revenue covers variable costs, even if it cannot cover fixed costs in full.

Average Variable Cost

The variable cost (such as raw materials, direct labor) per unit of output, calculated by dividing total variable costs by the quantity of output.