Find the Extreme Values of the Function Subject to the Given

question 327

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $$f ( x , y ) = x ^ { 2 } y , x ^ { 2 } + 2 y ^ { 2 } = 6$$

• A) Maximum: 4 at \(( 2,1 )\); minimum: \(- 4\) at \(( - 2 , - 1 )\)
• B) Maximum: 18 at \(( \pm 3,2 )\); minimum: \(- 18\) at \(( \pm 3 , - 2 )\)
• C) Maximum: 4 at \(( \pm 2,1 )\); minimum: \(- 4\) at \(( \pm 2 , - 1 )\)
• D) Maximum: 18 at \(( 3,2 )\); minimum: \(- 18\) at \(( - 3 , - 2 )\)

Identify dietary choices that promote healthy bowel function.

Understand the proper use and contraindications of different types of enemas.

Recognize the absorption locations for nutrients within the digestive tract.

Identify risk factors and physiological changes affecting bowel elimination.

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Definitions:

Disposable Income

Funds that households can direct towards their saving and spending ambitions after income taxes are accounted for.

Consumption

The portion of income spent on goods and services rather than saved.

Billion

A number equivalent to one thousand million (1,000,000,000) or, in some number systems, a million million (1,000,000,000,000).

Saving

The portion of income not spent on current consumption but set aside for future use, often in a deposit account or as an investment.