$\text { Locate the absolute extrema of the function } y = x ^ { 2 } - 2 \cos x \text { on the closed interval }$

question 18

Multiple Choice

$\text { Locate the absolute extrema of the function } y = x ^ { 2 } - 2 \cos x \text { on the closed interval }$ $[ - 3,5 ] \text {. Round your answers to four decimal places. }$

• A) left endpoint: \(( - 3,10.9800 )\)
• right endpoint: \(( 5,24.4327 )\) absolute maximum
• critical points: \(( 0,0.0000 )\) absolute minimum
• B) left endpoint: \(( - 3 , - 6.2822 )\) absolute minimum
• right endpoint: \(( 5,8.0822 )\) absolute maximum
• critical points: none
• C) left endpoint: \(( - 3 , - 6.2822 )\) absolute minimum
• right endpoint: \(( 5,8.0822 )\) absolute maximum
• critical points: \(( 0,0.0000 )\)
• D) left endpoint: \(( - 3,10.9800 )\) absolute minimum
• right endpoint: \(( 5,24.4327 )\) absolute maximum
• critical points: none
• E) left endpoint: \(( - 3,10.9800 )\)
• right endpoint: \(( 5,24.4327 )\) absolute maximum
• critical points: \(( 0 , - 2.0000 )\) absolute minimum

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Definitions:

Physical Proximity

The closeness or distance between two or more entities, influencing interactions and relationships.

Power Corrupts

The tendency for individuals in positions of authority to engage in unethical or morally questionable actions due to their increased power or control.

Authority Structure

The organization of authority and power within a group, institution, or society, which outlines the hierarchy and roles of its members.

Hierarchical

characterizes systems or organizations structured in levels of rank or authority, where higher levels have control over the lower ones.