Write the Word or Phrase That Best Completes Each Statement $f ( x ) = \sqrt [ 3 ] { x }$

question 62

Essay

Write the word or phrase that best completes each statement or answers the question.
- $f ( x ) = \sqrt [ 3 ] { x }$ is defined on the interval $[ 0,6 ]$
(a) Approximate the area A under the graph of f by partitioning $[ 0,6 ]$ into three subintervals of equal length an choose $u$ as the left endpoint of each subinterval.
(b) Approximate the area A under the graph of f by partitioning $[ 0,6 ]$ into three subintervals of equal length an choose $u$ as the right endpoint of each subinterval.
(c) Express the area A as an integral.
(d) Use a graphing utility to approximate this integral to three decimal places.

---

Definitions:

Policies and Laws

Established rules and guidelines, formally enforced through legal and governmental institutions, that govern behavior within a society.

Class Conflict

The tension or antagonism that exists in society due to competing socioeconomic interests and desires between people of different classes.

Resistance to Democracy

Opposition or reluctance towards adopting democratic principles, systems, or practices within a society or government.

Democratic Freedom

The freedom that allows individuals to participate fully in the political life of their community or country, including rights such as voting and free expression.