Solve the Problem $y = e ^ { x }$ , and the Line

question 395

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve $y = e ^ { x }$ , and the line $x = \ln 5$ about the line $x = \ln 5$ .

• A) \(2 \pi ( 5 - \ln 5 )\)
• B) \(2 \pi ( 5 - \ln 6 )\)
• C) \(2 \pi ( 4 + \ln 5 )\)
• D) \(2 \pi ( 4 - \ln 5 )\)

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Definitions:

Faculty Psychology

The theory that different mental abilities, such as reading and computation, are independent and autonomous functions carried out in different parts of the brain.

Mental Abilities

Mental abilities refer to the cognitive functions and capabilities of an individual, including reasoning, problem-solving, and planning.

Different Parts

This term is too vague without context, but in general, it refers to the distinct sections or components that comprise a whole.

Executive Functioning

High-level cognitive processes involved in regulating behavior, making decisions, problem-solving, and planning, essential for goal-directed behavior.