Let F(x, Y) = $y e ^ { x }$ + X

question 71

Multiple Choice

Let f(x, y) = $y e ^ { x }$ + x $y ^ { 2 }$ . At which point does f(x, y) have a possible maximum or minimum value?

• A) \(\left( \frac { \sqrt { 2 } } { 2 } , - \frac { \sqrt { 2 } \mathrm { e } \sqrt { 2 } / 2 } { 2 } \right)\)
• B) (0, 0)
• C) \(\left( \frac { 1 } { 2 } , - \frac { \mathrm { e } ^ { 1 / 2 } } { 2 } \right)\)
• D) \(\left( \frac { 1 } { 2 } , - \mathrm { e } ^ { 1 / 2 } \right)\)
• E) none of these

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Definitions:

Businesses

Organizations involved in commercial, industrial, or professional activities aiming to earn profits.

Excellent Manager

An individual in a managerial position who excels at organizing, directing, and controlling resources effectively to achieve set goals.

Highly Successful Business

A business that achieves significant achievements in areas like profitability, market share, and customer satisfaction, often exhibiting strong leadership, innovation, and strategic planning.

Pasta Shops

Retail establishments specializing in the sale of pasta and possibly related Italian food products and ingredients.