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

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Definitions:

Direct Materials

Raw materials that are directly traceable to the manufacturing of a product and are a significant component of its cost.

Work in Process

Inventory representing the cost of unfinished goods in production, including labor, materials, and overhead.

Yield

The earnings generated and paid to investors for an investment, often expressed as a percentage of the price of the investment.

Bottling Department

A specific division within a manufacturing facility or plant where products, often beverages, are placed into bottles as part of the production process.