Provide an Appropriate Response $\cos x$ Is Replaced By $1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 }$

question 244

Multiple Choice

Provide an appropriate response.
-If $\cos x$ is replaced by $1 - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 4 } } { 24 }$ and $| x | < 0.8$ , what estimate can be made of the error?

• A) \(| \mathrm { E } | < 0.00045511\)
• B) \(| \mathrm { E } | < 0.0027307\)
• C) \(| \mathrm { E } | < 0.0021845\)
• D) \(| \mathrm { E } | < 0.00036409\)

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Definitions:

Locus

The specific fixed position of a gene or DNA sequence on a chromosome, serving as a map reference for genetic studies.

Diploid

Referring to cells that contain two sets of chromosomes, one set inherited from each parent, typical of most body cells except for gametes.

Locus

A specific location or position on a chromosome where a particular gene or genetic marker is situated.

Chromosome

Colored body in the nucleus, composed of DNA and proteins and containing the primary genetic information of the cell; 23 pairs in humans.