$$h ( t ) = \frac { d ^ { 2 } f ( t ) } { d t ^ { 2 } }$$

question 19

Essay

$$\text { Let } \mathrm { f } ( \mathrm { t } ) = 2 \mathrm { u } ( \mathrm { t } ) - 2 \mathrm { u } ( \mathrm { t } - 6 ) \text {. Find the one-sided Laplace transform of } \mathrm { f } ( \mathrm { t } ) , g ( t ) = \frac { d f ( t ) } { d t } \text {, and }$$ $$h ( t ) = \frac { d ^ { 2 } f ( t ) } { d t ^ { 2 } }$$

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Definitions:

Law of Effect

A principle of learning stating that behaviors followed by satisfying consequences tend to be repeated, while those followed by unsatisfying consequences are less likely to be repeated.

Reward

A stimulus or event that increases the likelihood of a behavior being repeated; it is often used in the context of operant conditioning.

Punishment

A consequence delivered to an individual or animal in response to an undesirable behavior, with the intention of decreasing or eliminating that behavior.

Behaviors Strengthened

The process of increasing the frequency or intensity of a behavior through positive reinforcement, rewards, or other conditioning methods.