Solve the Problem $y = \frac { 3 } { \sqrt { 8 x + 1 } } , x = 0$

question 17

Multiple Choice

Solve the problem.
-Find the volume of the solid that is generated by revolving the area bounded by $y = \frac { 3 } { \sqrt { 8 x + 1 } } , x = 0$ , $x = 5$ , and $y = 0$ about the $x$ -axis.

• A) \(\frac { 9 } { 8 } \pi \ln ( 41 )\)
• B) \(\frac { 9 } { 8 } \pi \ln ( 8 )\)
• C) \(\frac { 3 \sqrt { 8 } } { 8 } \pi \ln ( 41 )\)
• D) \(\frac { 3 } { 8 } \pi \ln ( 8 )\)

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Definitions:

Value Chain Analysis

A strategic analysis tool used to identify the activities within a company that create value and those that could be improved to provide competitive advantage.

Support Roles

Positions within an organization designed to assist and enable the main functions or activities to perform more efficiently.

Primary Roles

Fundamental responsibilities or functions assigned to an individual or entity in a specific context.

Location Economies

Cost advantages achieved by a firm due to its geographical location, influencing factors like production, logistics, and access to markets or resources.