Let Be the Following Function

question 33

Essay

Let be the following function.
A) Determine whether is continuous at the origin.
B) Compute the partial derivatives and .

• A) Determine whether is continuous at the origin.
• B) Compute the partial derivatives and .

---

Definitions:

Arousal

is a physiological and psychological state of being awoken or activated, as well as the readiness for activity.

Moods

are temporary emotional states that differ from emotions by being less specific, less intense, and longer-lasting, influencing a person's perception and behaviors.

Valenced Reactions

Emotional responses or judgments that have a positive, negative, or neutral charge or value, often triggered by specific events or stimuli.

Evaluations

Systematic assessments of the value, quality, or performance of an individual, object, or concept, often based on criteria or standards.