Find the Polynomial of Lowest Degree That Will Approximate $F ( x )$

question 285

Multiple Choice

Find the polynomial of lowest degree that will approximate $F ( x )$ throughout the given interval with an error of magnitude less than than $10 ^ { - 3 }$ .
- $$\mathrm { F } ( \mathrm { x } ) = \int _ { 0 } ^ { \mathrm { x } } \mathrm { e } ^ { - \mathrm { t } } \mathrm { dt } , [ 0,0.5 ]$$

• A) \(x - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 6 } - \frac { x ^ { 4 } } { 24 }\)
• B) \(x + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 6 } + \frac { x ^ { 4 } } { 10 }\)
• C) \(x - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 12 } - \frac { x ^ { 4 } } { 240 }\)
• D) \(x - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 6 } - \frac { x ^ { 4 } } { 10 }\)

---

Definitions:

African American Women

Women who are of African descent living in the United States, a demographic group that may experience unique health, social, and cultural issues.

Intersectionality

A structure that helps comprehend the ways in which elements of an individual's social and political identities intersect to generate various forms of discrimination and advantages.

Race-Based Oppressions

Discriminatory practices and systemic inequalities faced by individuals based on their race or ethnicity.

Class-Based Oppressions

Discrimination and disadvantage that individuals face due to their socioeconomic class.