Find the Critical Point(s) of the Function

question 49

Multiple Choice

Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.

• A) (1, 5) and (2, 5); saddle point: f(1, 5) = - 46; relative minimum value: f(2, 5) = - 47
• B) (2, 5); relative maximum value: f(2, 5) = 47
• C) (1, 5); saddle point: f(1, 5) = - 46
• D) (1, 5) and (2, 5); relative maximum value: f(1, 5) = - 47; relative minimum value: f(2, 5) = 46
• E) there are no critical points

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Definitions:

Agriculture

The practice of cultivating the soil, growing crops, and raising livestock for human use and consumption.

Remittances

Money or goods that migrants send back to family members in their country of origin, often playing a significant role in the receiving country's economy.

Education

The process of facilitating learning, or the acquisition of knowledge, skills, values, beliefs, and habits through various methods such as teaching, training, and research.

Capital Flight

The swift transfer of substantial amounts of money or assets from one country due to economic or political unrest.