Suppose That $f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)$

question 115

Multiple Choice

Suppose that $f ( x , y , z ) = g \left( \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } \right)$ where $g$ is a function of one variable such that $g ( 3 ) = 4$
Evaluate $\iint _ { S } f ( x , y , z ) d S$ where $S$ is the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9$ .
Select the correct answer.

• A) \(224 \pi\)
• B) \(164 \pi\)
• C) \(264 \pi\)
• D) \(144 \pi\)
• E) None of these

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Definitions:

Vroom-Yetton-Jago

A decision-making model that helps leaders or managers to choose the most appropriate leadership style based on the situation and variables involved.

Normative Decision Model

A framework that outlines how to choose the best decision-making process based on the situation, including considerations of leadership style and team involvement.

Utility

In economics, it refers to the total satisfaction received from consuming a good or service, measured to understand consumer choices and preferences.

Gender

refers to the socially constructed roles, behaviors, activities, and attributes that a particular society considers appropriate for men and women.