Find the Potential Function F for the Field F $$F = 2 x e ^ { x ^ { 2 } + y ^ { 2 } } i + 2 y e ^ { x ^ { 2 } + y ^ { 2 } } j$$

question 235

Multiple Choice

Find the potential function f for the field F.
- $$F = 2 x e ^ { x ^ { 2 } + y ^ { 2 } } i + 2 y e ^ { x ^ { 2 } + y ^ { 2 } } j$$

• A) \(f ( x , y , z ) = e ^ { x ^ { 2 } } + e ^ { y ^ { 2 } } + C\)
• B) \(f ( x , y , z ) = e ^ { x ^ { 2 } + y ^ { 2 } } + C\)
• C) \(f ( x , y , z ) = \frac { e ^ { x ^ { 2 } + y ^ { 2 } } } { 2 } + C\)
• D) \(f ( x , y , z ) = 2 e ^ { x ^ { 2 } + y ^ { 2 } } + C\)

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Definitions:

Contribution Margin

The difference between sales revenue and variable costs, used to cover fixed expenses and provide profit.

Units Sold

The total quantity of products sold within a specific period.

Absorption Costing

An accounting method that includes all of the manufacturing costs in the cost of a product, including both fixed and variable costs.

Production Increase

A situation where a company enhances its output of products due to higher demand, improved efficiencies, or expansion efforts.