Find the Length of the Curve $$x = \frac { 1 } { 3 } \left( t ^ { 3 } - 3 t \right) , y = t ^ { 2 } + 6,0 \leq t \leq 2$$

question 352

Multiple Choice

Find the length of the curve.
- $$x = \frac { 1 } { 3 } \left( t ^ { 3 } - 3 t \right) , y = t ^ { 2 } + 6,0 \leq t \leq 2$$

• A) \(\frac { 14 } { 3 }\)
• B) 5
• C) \(\frac { 8 } { 3 }\)
• D) \(\frac { 10 } { 3 }\)

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Definitions:

Sensitization

Sensitization is an increase in the behavioral response following repeated exposure to a stimulus, making an organism more sensitive to that stimulus over time.

Behavioral Contrast

occurs when a change in the condition of reinforcement in one context leads to a change in behavior in another context.

Higher-order Conditioning

A form of conditioning in which a stimulus that has become a conditioned stimulus is paired with a new neutral stimulus, creating a second conditioned stimulus.

Opponent Process

A theory suggesting that emotions are regulated by mechanisms that operate in opposing pairs, allowing for emotional adaptation over time.