At What Point Is the Following Function a Local Minimum $$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$

question 11

Multiple Choice

At what point is the following function a local minimum?
$$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$
Select the correct answer.

• A) \(( 5,0 )\)
• B) \(( 8 , - 5 )\)
• C) \(( 8,0 )\)
• D) \(( 8,5 )\)
• E) \(( 0,0 )\)

Analyze the ethical considerations in presenting data and visuals to ensure accurate interpretation.

Distinguish between various types of visuals and their specific uses based on content and context.

Understand the importance of numbering and referencing visuals coherently within a document.

Master the correct use of source acknowledgments and footnotes in visuals.

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Definitions:

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Standard Deviation

A statistical measure of the dispersion of a set of data from its mean, used in finance to quantify the volatility of investment returns.

Survivorship Bias

The logical error of concentrating on the people or things that "survived" some process and inadvertently overlooking those that did not because of their lack of visibility.