Given $\mathbf { r } ( t ) = 7 t ^ { 2 } \mathbf { i } + 4 t ^ { 3 } \mathbf { j }$

question 13

Essay

Given $\mathbf { r } ( t ) = 7 t ^ { 2 } \mathbf { i } + 4 t ^ { 3 } \mathbf { j }$ .
a. Find $\mathbf { r } ( - 1 )$ and $\mathbf { r } ^ { \prime } ( - 1 )$ .
b. Sketch the curve defined by $\mathbf { r }$ and the vectors $\mathbf { r } ( - 1 )$ and $\mathbf { r } ^ { t } ( - 1 )$ on the same set of axes.

---

Definitions:

Extinction

Extinction refers to the process in behavioral psychology where a conditioned response decreases in frequency and eventually disappears when the reinforcement stops.

Unconditioned Stimulus

In classical conditioning, a stimulus that naturally and automatically triggers an unconditioned response without any learning needed.

Fear Reaction

The immediate response to a perceived threat, involving physiological changes that prepare the body to either fight or flee.

Stimulus Generalisation

The process by which a conditioned response (CR) starts occurring in response to stimuli that are similar, but not identical, to the original conditioned stimulus (CS).