Provide an Appropriate Response $\sin x$ Is Replaced By $x - \frac { x ^ { 3 } } { 6 }$

question 4

Multiple Choice

Provide an appropriate response.
-If $\sin x$ is replaced by $x - \frac { x ^ { 3 } } { 6 }$ and $| x | < 0.5$ , what estimate can be made of the error?

• A) \(| \mathrm { E } | < 0.00052083\)
• B) \(| \mathrm { E } | < 0.00026042\)
• C) \(| \mathrm { E } | < 0.0026042\)
• D) \(| E | < 0.0013021\)

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Definitions:

Disturbed Thought Processes

A condition where there is a disruption in the way a person thinks, often evident in disorders such as schizophrenia.

Verbal Interventions

Strategies involving the use of words and dialogue to manage or address a situation, often employed in therapeutic or conflict-resolution contexts.

Nursing Diagnosis

A clinical judgment about individual, family, or community responses to actual or potential health problems/life processes, providing the basis for selecting nursing interventions.

Rationalization

A defense mechanism in which controversial behaviors or feelings are justified and explained in a seemingly rational or logical manner to avoid the true explanation.