Use Cylindrical Coordinates to Evaluate the Triple Integral $$\iiint _ { E } y d V$$

question 110

Short Answer

Use cylindrical coordinates to evaluate the triple integral
$$\iiint _ { E } y d V$$
where $E$ is the solid that lies between the cylinders $x ^ { 2 } + y ^ { 2 } = 3$ and $x ^ { 2 } + y ^ { 2 } = 7$ above the $x y$ -plane and below the plane $z = x + 4$ .

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Definitions:

Law Of Effect

A principle stating that behaviors followed by positive outcomes tend to be repeated, while those followed by negative outcomes are less likely to be repeated.

Neutral Stimulus

A stimulus that initially produces no specific response other than focusing attention, until it is associated with an unconditioned stimulus.

Reinforcement

In behavioral psychology, it refers to any stimulus which strengthens or increases the probability of a specific response.

Positive Reinforcer

A stimulus that, when presented after a behavior, increases the likelihood of that behavior being repeated.