Given $f ( x , y ) = x e ^ { - 2 y }$

question 281

Essay

Given $f ( x , y ) = x e ^ { - 2 y }$ , at the point $( 4,0 )$ find the equation of the tangent plane to the graph of $f$ . Also, find a normal vector to the graph of $f$ .

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Definitions:

Markup

The difference between the cost of a good or service and its selling price, represented as a percentage of the cost.

Inventory Transfers

The movement of goods from one location to another, which can involve changes in ownership within the same company or between different entities.

Effective Income Tax Rate

The average rate at which an individual or corporation is taxed, calculated by dividing total tax expense by taxable income.

Accrual-based Net Income

The measure of a company's financial performance that includes all earned revenues and incurred expenses, recognized as they are earned or incurred, rather than when cash is received or paid.