Test the Vector Field F to Determine If It Is

question 267

Multiple Choice

Test the vector field F to determine if it is conservative.
- $$\mathrm { F } = 7 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 5 } \mathrm { i } + \left( 5 \mathrm { x } ^ { 7 } \mathrm { y } ^ { 4 } + \frac { \mathrm { z } ^ { 4 } } { \mathrm { y } ^ { 2 } } \right) \mathrm { j } - \frac { 4 \mathrm { z } ^ { 3 } } { \mathrm { y } } \mathbf { k }$$

• A) Not conservative
• B) Conservative

---

Definitions:

Forward Integration

A business strategy where a company gains ownership or increased control over its distributors or retailers.

Apple

A leading technology company known for its innovation in consumer electronics, software, and services.

Apple Retail Stores

Retail locations operated by Apple Inc., focused on selling and supporting Apple products, offering a unique shopping experience.

Forward Integration

A business strategy where a company extends its activities to take control of its distributions, such as a manufacturer opening retail outlets.