At What Rate Is the Diagonal of a Cube Increasing $\sqrt { 3 } \mathrm { in } / \mathrm { min }$

question 25

Multiple Choice

At what rate is the diagonal of a cube increasing if its edges are 2 inches and are increasing at a rate 3 inches per minute?

• A) \(\sqrt { 3 } \mathrm { in } / \mathrm { min }\)
• B) \(6 \sqrt { 3 } \text { in } / \min\)
• C) \(2 \sqrt { 3 } \mathrm { in } / \mathrm { min }\)
• D) \(72 \text { in } / \mathrm { min }\)
• E) \(3 \sqrt { 3 } \text { in } / \min\)
• F) \(9 \mathrm { in } / \mathrm { min }\)
• G) \(36 \text { in } / \mathrm { min }\)
• H) \(24 \text { in } / \mathrm { min }\)

Comprehend the concept of fiduciary duties within various business relationships.

Identify the consequences of an individual's actions in a partnership or sole proprietorship on personal and business liability.

Understand the processes and legal requirements for establishing different business entities.

Recognize the principles governing the dissolution and obligations of a partnership.

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Definitions:

Economic Upturn

A period of economic improvement characterized by higher levels of production, employment, and income.

Consumer Income

The total earnings of a consumer from various sources before taxes, crucial in determining spending and saving behaviors.

Normal Good

A good for which demand increases as consumer income rises.

Inferior Good

A type of good for which demand decreases as the income of consumers increases, inversely related to income changes.