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:

Market Position

A brand's unique standing and perception in the minds of consumers relative to competing brands.

Evaluation

Evaluation involves the systematic assessment of the value, performance, or importance of an object, project, or program, based on relevant criteria or standards.

Gestalt Psychology

A theory of mind that proposes humans naturally perceive objects as organized patterns and wholes, rather than as separate components.

Principle of Similarity

A concept from Gestalt psychology that states individuals tend to perceive elements as grouped together if they are similar to each other in shape, color, size, or other attributes.