Let $\mathbf { r } = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }$

question 143

Multiple Choice

Let $\mathbf { r } = x \mathbf { i } + y \mathbf { j } + z \mathbf { k }$ and $r = | \mathbf { r } |$ .
Find $\nabla \cdot ( 6 \mathbf { r } )$
Select the correct answer.

• A) 6
• B) 12
• C) 18
• D) 30
• E) None of these

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Definitions:

Overall Efficiency

The effectiveness with which a system, such as an economy or a production process, utilizes resources to achieve its objectives, maximizing output with minimal waste.

Operations

The day-to-day activities involved in managing a business, including production, logistics, and delivery of goods and services.

Proprietor's Income

Represents the earnings of the owner of a business, factoring in revenue minus expenses and taxes.

Unincorporated Enterprises

Businesses that are not legally separated from their owners, meaning the owner is personally liable for the debts of the business.