Express the Limit as a Definite Integral $\lim_{{||P|| \rightarrow 0}} \sum_{\mathrm{k}=1}^{\mathrm{n}}\left(\sin \mathrm{c}_{\mathrm{k}}\right) \Delta \mathrm{x}_{\mathrm{k}}$

question 32

Multiple Choice

Express the limit as a definite integral.

- $\lim_{{||P|| \rightarrow 0}} \sum_{\mathrm{k}=1}^{\mathrm{n}}\left(\sin \mathrm{c}_{\mathrm{k}}\right) \Delta \mathrm{x}_{\mathrm{k}}$ , where $\mathrm { P }$ is a partition of $[ - \pi / 4,0 ]$

• A) \(\int _ { 1 } ^ { n } \sin x d x\)
• B) \(\int _ { - \pi / 4 } ^ { 0 } \cos x d x\)
• C) \(\int _ { 0 } ^ { \pi / 4 } \sin x d x\)
• D) \(\int _ { - \pi / 4 } ^ { 0 } \sin x d x\)

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Definitions:

Systemic Discrimination

Discrimination that is ingrained in the policies, practices, and procedures of institutions, resulting in disadvantages to certain groups.

Natural Superiority

The belief in the inherent superiority of certain individuals, groups, or races over others, often without scientific basis.

Stereotype

A label that may have some basis in fact, but that has been grossly over-generalized and applied to a particular segment of the population or situation.

Overgeneralizations

Cognitive distortions where an individual applies a general rule too broadly, often leading to inaccurate conclusions or stereotypes.