Use the Shell Method to Set Up and Evaluate the Integral

question 29

Multiple Choice

Use the shell method to set up and evaluate the integral $y = 3 \sqrt { x } \text { that gives the }$ volume of the solid generated by revolving the plane region about the y-axis.

• A) \(\frac { 192 \pi } { 5 }\)
• B) \(\frac { 384 \pi } { 7 }\)
• C) \(\frac { 192 \pi } { 7 }\)
• D) \(\frac { 384 \pi } { 5 }\)
• E) \(\frac { 96 \pi } { 5 }\)

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Definitions:

Self-Disclose

The act of voluntarily sharing personal, private, or sensitive information about oneself with others to foster intimacy or trust.

Open Pane

Typically refers to a component of the Johari Window model, symbolizing information about oneself that is known both to oneself and to others.

Johari Window

A psychological tool used to help understand interpersonal relationships and communication, consisting of known and unknown aspects of self to both self and others.

Upper-Left Pane

Typically referred to in the context of models or diagrams, it implies the first quadrant or section, often emphasizing the most important or primary information.