Express Y as a Function of X $3 \ln y = \frac { 1 } { 3 } \ln x - \ln \frac { x ^ { 2 } - 1 } { x ^ { 4 / 3 } } + \ln C$

question 477

Multiple Choice

Express y as a function of x. The constant C is a positive number.
- $3 \ln y = \frac { 1 } { 3 } \ln x - \ln \frac { x ^ { 2 } - 1 } { x ^ { 4 / 3 } } + \ln C$

• A) \(y = \sqrt [ 3 ] { \frac { C } { x ^ { 1 / 3 } \left( x ^ { 2 } - 1 \right) } }\)
• B) \(y = \sqrt [ 3 ] { \frac { C x } { x ^ { 2 } - 1 } }\)
• C) \(y = \sqrt [ 3 ] { \frac { C x ^ { 1 / 3 } } { x ^ { 2 } - 1 } }\)
• D) \(y = \sqrt [ 3 ] { \frac { C x ^ { 5 / 3 } } { x ^ { 2 } - 1 } }\)

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Definitions:

Raw Materials Inventory

Stocks of unprocessed materials that are used in the production process, awaiting use in manufacturing.

Factory Utilities

Costs associated with utilities consumed in the manufacturing process, such as electricity, gas, and water.

Cost of Goods Manufactured

The cost of goods manufactured refers to the total production cost of goods completed during a specific period.

Direct Labor

The wages or costs associated with employees who are directly involved in the production of goods or services.