If $f ( x , y ) = 4 - x ^ { 2 }$

question 127

Essay

If $f ( x , y ) = 4 - x ^ { 2 }$ , find $f _ { x } ( 1,1 )$ and $f _ { y } ( 1,1 )$ and interpret these numbers as slopes. Illustrate with sketches.

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Definitions:

Surplus Cash

Excess cash that a company holds over and above the minimum operational funds required, often used for investment, dividends, or buybacks.

Lockbox System

A service offered by banks to companies for the collection of payments from customers, wherein the payments are sent directly to a post office box, thereby speeding up collection times.

Processing Time

The amount of time required to complete a specific process or task, often related to manufacturing or computational operations.

Preauthorized Payment

A financial arrangement that allows a business or individual to automatically debit funds from a customer's bank account for recurring expenses.