Solve the Problem $y = \frac { 1 } { x ^ { 2 } }$

question 139

Multiple Choice

Solve the problem.
-The region between the curve $y = \frac { 1 } { x ^ { 2 } }$ and the $x$ -axis from $x = \frac { 1 } { 4 }$ to $x = 4$ is revolved about the $y$ -axis to generate a solid. Find the volume of the solid.

• A) \(2 \pi \ln 4 - \pi\)
• B) \(\pi \ln 4 - \pi\)
• C) \(4 \pi \ln 4\)
• D) \(2 \pi \ln 4\)

Understand the socket programming concept in network communications.

Comprehend the concept of JavaBeans and their role in Java.

Understand the implementation and use of the Runnable interface for threading.

Gain knowledge on handling exceptions in multithreading.

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Definitions:

Bronze Cista Industry

The historical production and trade of cistae, cylindrical containers made of bronze, often used in ancient times for holding personal items.

Production Center

A facility or location that is dedicated to the manufacturing or production of goods, often involving assembly lines or specialized equipment.

Etruscan Funerary Monument

A burial structure or monument created by the ancient Etruscans, reflecting their burial practices, art, and beliefs about the afterlife.

Cista

An Etruscan cylindrical container made of sheet bronze with cast handles and feet, often with elaborately engraved bodies, used for women’s toiletry articles.