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) \(| E | < 0.0013021\)

---

Definitions:

Amygdala

The part of the brain that participates in species-typical behaviors, emotion, and emotional memory. From the Greek word for almond, reflecting the general shape in the medial temporal lobe.

Pavlovian Conditioning

A form of learning in which a neutral stimulus is paired with a stimulus that elicits a response, until the neutral stimulus alone elicits the same response.

Fear Conditioning

A behavioral paradigm in psychology where organisms learn to predict aversive events, involving the association of a neutral stimulus with an aversive stimulus.

Gasping

A sudden, short intake of breath, typically as a result of surprise, shock, or needing oxygen.