Provide an Appropriate Response $\tan ^ { - 1 } x$

question 349

Multiple Choice

Provide an appropriate response.
-If $\tan ^ { - 1 } x$ is replaced by $x - \frac { x ^ { 3 } } { 3 } + \frac { x ^ { 5 } } { 5 }$ and $| x | < 0.7$ , what estimate can be made of the error?

• A) \(| E | < 0.011765\)
• B) \(| E | < 0.016807\)
• C) \(| \mathrm { E } | < 0.019608\)
• D) \(| E | < 0.013726\)

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Definitions:

Schema

An individual’s mental representation that summarizes her knowledge about a certain type of event or situation.

Retrieval Cues

Stimuli that aid in the recall of memories, acting as triggers that bring memories to consciousness.

Loci

Specific locations or positions in genetics or memory techniques, referring to gene locations on chromosomes or mnemonic spatial locations, respectively.

Mnemonics

Memory aids or techniques that use associations and patterns to help remember information.