Find the Jacobian of the Transformation $x = u ^ { 2 }$

question 181

Multiple Choice

Find the Jacobian of the transformation $x = u ^ { 2 }$ , $y = v ^ { 3 }$ .

• A) \(u v ^ { 2 }\)
• B) \(2 u v ^ { 2 }\)
• C) \(3 u v ^ { 2 }\)
• D)\(6 u v ^ { 2 }\)
• E) \(- u v ^ { 2 }\)
• F) \(- 2 u v ^ { 2 }\)
• G) \(- 3 u v ^ { 2 }\)

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Definitions:

Straight-Line Method

A method of calculating depreciation by evenly spreading the cost of an asset over its useful life.

Present Value

The current worth of a future sum of money or stream of cash flows given a specified rate of return, used in discounting to determine investment value.

Lease Agreement

A contract between two parties where one party agrees to rent property owned by another party, often specifying terms and conditions for use and payment.

Straight-Line Method

A method of depreciation that allocates an equal expense amount to each year of the asset's useful life.