Solve the Problem $f ( x , y ) = \tan ^ { - 1 } x y$

question 351

Multiple Choice

Solve the problem.
-About how much will $f ( x , y ) = \tan ^ { - 1 } x y$ change if the point $( x , y , z )$ moves from $\left( 9 \sqrt { 2 } , \frac { - 6 } { \sqrt { 2 } } \right)$ a distance of $\mathrm { ds } = \frac { 1 } { 10 }$ unit in the direction of $\mathbf { i } + \mathbf { j } ?$

• A) \(\frac { 3 } { 14585 }\)
• B) \(\frac { 3 } { 5834 }\)
• C) \(\frac { 21 } { 58340 }\)
• D) \(\frac { 3 } { 58340 }\)

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Definitions:

Revenue

The total income generated by a business from its normal business operations.

Post-Closing Trial Balance

A list of all accounts and their balances after closing entries are made, used to check the equality of debits and credits and prepare for the next accounting period.

Income Statement

A financial statement that shows a company's revenues, expenses, and profits or losses over a specific period.

Balance Sheet Account Balances

The values recorded in the accounts that appear on a company's balance sheet, representing assets, liabilities, and shareholders' equity at a specific point in time.