Solve the Problem $y = e ^ { x }$ And The

question 229

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region in the first quadrant bounded by $y = e ^ { x }$ and the $x$ -axis, from $x = 0$ to $x = \ln 3$ , about the $y$ -axis.

• A) \(6 \pi \ln 3\)
• B) \(2 \pi ( 3 \ln 3 - 2 )\)
• C) \(2 \pi ( 3 \ln 3 - 3 )\)
• D) \(3 \pi \ln 3\)

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Definitions:

Sociocultural Standards

Norms and expectations established by society or culture regarding behavior, appearance, and values.

Biological Ties

Connections between individuals based on genetic relationships, such as those between parents and their biological children.

Broaden-And-Build Model

A theory in positive psychology suggesting that positive emotions broaden one's awareness and encourage novel, varied, and exploratory thoughts and actions.

Drive Reduction Theory

A psychological theory that posits that motivation is rooted in the biological need to reduce internal drives, such as hunger or thirst, returning the organism to a state of homeostasis.