Use the Power Series For $f ( x ) = \sqrt [ 3 ] { 5 + x }$

question 85

Multiple Choice

Use the power series for $f ( x ) = \sqrt [ 3 ] { 5 + x }$ to estimate $\sqrt [ 3 ] { 5.07 }$ correct to four decimal places.

• A) \(1.7179\)
• B) \(1.7189\)
• C) \(1.7195\)
• D) \(1.7156\)
• E) \(1.7200\)

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Definitions:

Cognitive Ability

The capacity of an individual to perform various mental activities most closely associated with learning and problem solving.

Myers Briggs

A personality assessment tool based on Carl Jung's theories, categorizing people into 16 distinct personality types.

Self-Conscious

An acute sense of self-awareness, often accompanied by feelings of anxiety or embarrassment when one perceives their actions are being judged by others.

Social Emotions

Emotions that depend on the thoughts, feelings, or behaviors of others, such as empathy, jealousy, or pride, playing a significant role in social interactions.