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Use Polar Coordinates to Find the Limit of the Function f(x,y)=x+yx2+y+y2f ( x , y ) = \frac { x + y } { x ^ { 2 } + y + y ^ { 2 } }

question 277

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Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0) .
- f(x,y) =x+yx2+y+y2f ( x , y ) = \frac { x + y } { x ^ { 2 } + y + y ^ { 2 } }

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Definitions:

Contribution Margin Ratio

The proportion of sales revenue that remains after variable costs are subtracted, indicating how much contributes to covering fixed costs and generating profit.

Fixed Expenses

Costs that do not fluctuate with the level of production or sales, such as rent, insurance, and property taxes.

Contribution Margin Ratio

A ratio that represents the percentage of sales revenue that exceeds variable costs, indicating how much revenue contributes towards covering fixed costs and generating profit.

Break-even Point

The sales level at which total revenues equal total costs, resulting in no profit or loss.

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