Find the Potential Function F for the Field F A) $f ( x , y , z ) = - \frac { y z } { 2 \sqrt { 1 + x ^ { 2 } } } + C$

question 116

Multiple Choice

Find the potential function f for the field F.
- $$\mathbf { F } = - \left( \frac { \mathrm { xyz } } { \left( 1 + \mathrm { x } ^ { 2 } \right) ^ { 3 / 2 } } \right) \mathbf { i } + \left( \frac { \mathrm { z } } { \left( 1 + \mathrm { x } ^ { 2 } \right) ^ { 1 / 2 } } \right) \mathbf { j } + \left( \frac { \mathrm { y } } { \left( 1 + \mathrm { x } ^ { 2 } \right) ^ { 1 / 2 } } \right) \mathbf { k }$$

• A) \(f ( x , y , z ) = - \frac { y z } { 2 \sqrt { 1 + x ^ { 2 } } } + C\)
• B) \(f ( x , y , z ) = \frac { y z } { \sqrt { 1 + x ^ { 2 } } } + C\)
• C) \(f ( x , y , z ) = \frac { y z } { 2 \sqrt { 1 + x ^ { 2 } } } + C\)
• D) \(f ( x , y , z ) = \frac { 1 } { \sqrt { 1 + x ^ { 2 } } } + C\)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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