Let $f ( x , y , z ) = x ^ { 3 } + 3 x z + 4 y z + z ^ { 2 }$

question 31

Essay

Let $f ( x , y , z ) = x ^ { 3 } + 3 x z + 4 y z + z ^ { 2 }$ .Find , where $\vec { v }$ is a unit vector in the direction of $- \vec { i } + \vec { j } - \vec { k }$ .

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Definitions:

Interest Rate

The cost of borrowing money or the return on savings, expressed as a percentage, influencing economic activity by affecting spending and investment decisions.

Consumption Function

An economic formula representing the relationship between total consumption and gross national income, indicating how changes in income affect spending.

Saving

The portion of income not spent on current expenditures or consumption, often put aside for future use or investment.

Disposable Income

The amount of money a household has available for spending and saving after income taxes have been accounted for.