Find the Centroid of the Region Bounded by the Graphs $$y = 9 - x ^ { 2 } , \quad y = 3 - x$$

question 131

Multiple Choice

Find the centroid of the region bounded by the graphs of the given equations.
$$y = 9 - x ^ { 2 } , \quad y = 3 - x$$

• A) \(\left( \frac { 5 } { 2 } , \frac { 1 } { 2 } \right)\)
• B) \(\left( \frac { 1 } { 2 } , \frac { 5 } { 2 } \right)\)
• C) \(\left( 5 , \frac { 1 } { 2 } \right)\)
• D) \(\left( \frac { 1 } { 2 } , 5 \right)\)

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Definitions:

Productivity Growth

An increase in the efficiency of production, often measured as the ratio of output to inputs over a specific period, leading to greater outputs with the same or lesser inputs.

Economic Growth

A rise in the output of goods and services within an economy across a certain timeframe, usually gauged by the Gross Domestic Product.

Total Real Output

The total value of all goods and services produced in an economy, adjusted for inflation.

Disguised Unemployment

A situation where more workers are employed than is necessary for a given level of production, often due to lack of alternative employment options.