Find the Divergence of the Field F $$\mathbf { F } = \frac { y \mathbf { j } - \mathrm { xk } } { \left( \mathrm { y } ^ { 2 } + \mathrm { x } ^ { 2 } \right) ^ { 1 / 2 } }$$

question 247

Multiple Choice

Find the divergence of the field F.
- $$\mathbf { F } = \frac { y \mathbf { j } - \mathrm { xk } } { \left( \mathrm { y } ^ { 2 } + \mathrm { x } ^ { 2 } \right) ^ { 1 / 2 } }$$

• A) 0
• B) \(\frac { x ^ { 2 } - y ^ { 2 } } { \left( y ^ { 2 } + x ^ { 2 } \right) ^ { 3 / 2 } }\)
• C) \(\frac { x ^ { 2 } } { \left( y ^ { 2 } + x ^ { 2 } \right) ^ { 3 / 2 } }\)
• D) \(\frac { - x ^ { 2 } } { \left( y ^ { 2 } + x ^ { 2 } \right) ^ { 3 / 2 } }\)

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Definitions:

Non-relational Characteristic

Refers to attributes or features not based on relationships or connections between entities.

Value

The importance, worth, or usefulness of something, often considered in terms of tangible and intangible benefits.

Biodiversity

The assorted types of organisms found on Earth or within a distinct ecosystem or environment.

Ecosystems

Groups of living beings together with abiotic elements of their surroundings, functioning collectively as a cohesive unit.