Use the Limit Process to Find the Area of the Region

question 39

Multiple Choice

Use the limit process to find the area of the region between the graph of the function $y = 16 - x ^ { 2 }$ and $x$ -axis over the interval $[ - 4,4 ]$

• A) \(\frac { 704 } { 3 }\)
• B) \(\frac { 256 } { 3 }\)
• C) \(\frac { 760 } { 3 }\)
• D) \(\frac { 352 } { 3 }\)
• E) \(\frac { 128 } { 3 }\)

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Definitions:

Manufacture

The process of making goods on a large scale using labor and machines, typically within a factory setting.

Industry

A group of companies that are related based on their primary business activities.

Variable Costs

Costs that change in proportion to the level of goods or services that a business produces.

Profit-maximizing Output

The level of production at which a firm achieves the highest profit, where marginal revenue equals marginal cost.