Use the Midpoint Rule With $n = 4$ To Estimate the Volume Obtained by Rotating About the Region

question 83

Short Answer

Use the Midpoint Rule with $n = 4$ to estimate the volume obtained by rotating about the region under the $y$ -axis the region under the curve.
$$y = \tan x , \quad 0 \leq x \leq \frac { \pi } { 4 }$$
The choices are rounded to the nearest hundredth.

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Definitions:

Primary labour market

The sector of the job market that offers high-paying jobs, good job security, and often requires higher education or specialized skills.

Labour unions

Organizations formed by workers from related fields that work for the betterment of their members' working conditions, wages, and benefits.

Occupational groups

Categories of jobs that are similar in terms of the tasks, duties, and responsibilities they entail, often used in the study of careers and labor markets.

Organic solidarity

A concept in sociology that describes the social cohesion based on the interdependence of individuals in advanced, industrial societies, as opposed to the similarities in a more traditional society.