Use the Shell Method to Set Up and Evaluate an Integral

question 19

Multiple Choice

Use the shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis. $$y = 25 - x ^ { 2 } , y = 0$$

• A) \(V = 4 \pi \int _ { 0 } ^ { 5 } x \left( 25 - x ^ { 2 } \right) d x = 625 \pi\)
• B) \(V = 4 \pi \int _ { - 5 } ^ { 5 } x \left( 25 - x ^ { 2 } \right) d x = 625 \pi\)
• C) \(V = 2 \pi \int _ { - 5 } ^ { 0 } x \left( 25 - x ^ { 2 } \right) d x = 625 \pi\)
• D) \(V = 2 \pi \int _ { 0 } ^ { 5 } x \left( 25 - x ^ { 2 } \right) d x = \frac { 625 } { 2 } \pi\)
• E)\(V = 2 \pi \int _ { - 5 } ^ { 5 } x \left( 25 - x ^ { 2 } \right) d x = \frac { 625 } { 2 } \pi\)

Understand the benefits of the SQ3R study method and effective study strategies.

Identify the characteristics of the scientific attitude in psychological inquiry.

Understand the concept and goals of reengineering within organizations.

Explore the effectiveness of organizational development (OD) and key OD techniques.

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Definitions:

Social Facilitation

The tendency for individuals to perform differently when in the presence of others than when alone, usually showing improvement in tasks they find easy or have well-rehearsed.

Normative Social Influence

The impact of others that causes us to change our behavior to gain their approval and acceptance.

Informational Social Influence

The process of changing one’s behavior to align with the group's, based on the belief that the group possesses accurate information.

Social Facilitation

The tendency for people to perform differently when in the presence of others than when alone, often improving on simple tasks.