Solve the Problem $y = \frac { 1 } { x ^ { 2 } }$

question 52

Multiple Choice

Solve the problem.
-The region between the curve $y = \frac { 1 } { x ^ { 2 } }$ and the $x$ -axis from $x = \frac { 1 } { 3 }$ to $x = 3$ is revolved about the $y$ -axis to generate a solid. Find the volume of the solid.

• A) \(2 \pi \ln 3\)
• B) \(4 \pi \ln 3\)
• C) \(\pi \ln 3 - \pi\)
• D) \(2 \pi \ln 3 - \pi\)

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Definitions:

Shaping

A method of behavior training in which reinforcement is given for progressively closer approximations of the desired behavior.

Classically Conditioned

A learning process that occurs through associations between an environmental stimulus and a naturally occurring stimulus.

Extinction

In behavioral psychology, the process of diminishing a conditioned response by repeatedly presenting the conditioned stimulus without the unconditioned stimulus.

Conditioned Response

A learned response to a previously neutral stimulus that has become associated with an unconditioned stimulus through classical conditioning.