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:

Leakages

In economics, it refers to the withdrawal of potential spending from the economy's circular flow, primarily through savings, taxes, and imports.

Household Production

The creation of goods and services by individuals or families within a home environment, not for formal market exchange.

Gross Domestic Product (GDP)

The complete market or financial worth of every finished good and service made within a nation's frontiers in a certain timeframe.

Consumer Price Index (CPI)

A metric that calculates the mean variation over time in the costs incurred by urban buyers for a selection of consumer products and services.