Find the Absolute Maxima and Minima of the Function on the Given

question 364

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = 4 x ^ { 2 } + 7 y ^ { 2 } \text { on the disk bounded by the circle } x ^ { 2 } + y ^ { 2 } = 9$$

• A) Absolute maximum: 36 at (3, 0) and (-3, 0); absolute minimum: 0 at (0, 0)
• B) Absolute maximum: 99 at (3, 3); absolute minimum: 0 at (0, 0)
• C) Absolute maximum: 63 at (0, 3) and (0, -3); absolute minimum: 0 at (0, 0)
• D) Absolute maximum: 63 at (0, 3) and (0, -3); absolute minimum: 36 at (3, 0) and (-3, 0)

Calculate standard deviations given specific conditions in a normal distribution model.

Determine means of distributions given certain percentages and standard deviations.

Interpret and solve problems involving the interquartile range (IQR) within a normal distribution.

Identify the appropriate use of prepositions in various context.

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Definitions:

Retail Stores

Physical establishments where goods are sold directly to the consumer.

Manufacturer

An entity or business that produces goods on a large scale using machinery, labor, and raw materials.

Agent

A person or entity authorized to act on behalf of another, often in business dealings or negotiations.

Legal Authority

The lawful right given to an individual or body to make decisions, to command, or to judge matters according to law.