$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$

question 346

Multiple Choice

$\text { Find } \mathrm { f } _ { \mathbf { x } } , \mathrm { f } _ { \mathbf { y } } \text {, and } \mathrm { f } _ { \mathbf { Z } }$
- $$f ( x , y , z ) = \frac { z } { \sqrt { x + y ^ { 2 } } }$$

• A) \(f _ { x } = \frac { z } { 2 \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { y } = \frac { y z } { \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { z } = \frac { 1 } { \sqrt { x + y ^ { 2 } } }\)
• B) \(f _ { x } = - \frac { z } { 2 \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { y } = \frac { y z } { \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { z } = - \frac { 1 } { \sqrt { x + y ^ { 2 } } }\)
• C) \(f _ { x } = \frac { z } { 2 \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { y } = - \frac { y z } { \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { z } = \frac { 1 } { \sqrt { x + y ^ { 2 } } }\)
• D) \(f _ { x } = - \frac { z } { 2 \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { y } = - \frac { y z } { \left( x + y ^ { 2 } \right) ^ { 3 / 2 } } ; f _ { z } = \frac { 1 } { \sqrt { x + y ^ { 2 } } }\)

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Definitions:

Natchez Indian Society

A historical Native American society known for their complex social structure and the mounds they built in what is now the southeastern United States.

Supernatural Forces

Entities or powers beyond the natural world, often believed to influence human affairs in ways that are beyond scientific explanation or understanding.

Societal Structures

The organized patterns of social relationships and social institutions that together constitute society.

Gender Relations

Refers to the dynamics and social norms governing the interactions and relationships between men, women, and people of diverse gender identities.