Assuming That S Satisfies the Conditions of the Divergence Theorem

question 43

Multiple Choice

Assuming that S satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second order partial derivatives,find where a is the constant vector.

• A) 3
• B) 5
• C) 7
• D) 6
• E) 8

---

Definitions:

Marginal Utility Per Dollar

The additional satisfaction or benefit gained from consuming an additional unit of a good or service, relative to the cost in dollars.

Fixed Income

Refers to investment types that provide regular, predetermined returns, such as bonds or fixed deposits.

Utility Maximization

The principle that individuals or firms aim to achieve the highest satisfaction or benefit from their resources and choices under given constraints.

Marginal Utility

This concept refers to the additional satisfaction or utility that a consumer gains from consuming one more unit of a good or service.