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The Function f(x)=kx2+4yf ( x ) = k x ^ { 2 } + 4 y

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Short Answer

The function f(x)=kx2+4yf ( x ) = k x ^ { 2 } + 4 y has an average value of 16 on the rectangle with vertices at (0, 0),(0, 2), (2, 0)and (2, 2).Find the constant k.

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Definitions:

Gross Profit

The difference between revenue generated from goods or services sold and the cost of those goods or services sold, not accounting for other operating expenses.

Beginning Inventory

The value of inventory held by a company at the start of an accounting period, used to calculate cost of goods sold during the period.

Ending Inventory

The total value of all goods available for sale at the end of an accounting period, reflecting purchases and sales within that period.

Average Method

An inventory costing method that calculates the cost of goods sold based on the average cost of all similar items in inventory.

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