Determine the Values Of $x$ For Which the Given Linear Approximation Is Accurate to Within

question 10

Multiple Choice

Determine the values of $x$ for which the given linear approximation is accurate to within $0.07$ at $a = 0$ .
$\tan x \approx x$

• A) \(- 0.19 < x < 0.28\)
• B) \(- 0.57 < x < 0.57\)
• C) \(0.06 < x < 0.68\)
• D) \(- 1.04 < x < 1.55\)
• E) \(- 0.71 < x < 0.48\)

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Definitions:

Symbolic Interactionism

A sociological perspective that explores how individuals create and modify their social reality through interaction, using symbols and shared meanings.

Sociobiology

A branch of biology that deals with social behavior, often focusing on the evolutionary aspects that influence actions within species.

Gender Role Expectations

Socially constructed norms prescribing the behaviors, attitudes, and characteristics deemed appropriate for individuals based on their perceived gender.

Sexism

An attitude or behavior that discriminates against one sex, usually females, based on the assumed superiority of the other sex.