Find the Extreme Values of the Function Subject to the Given

question 44

Multiple Choice

Find the extreme values of the function subject to the given constraint.
- $$f ( x , y , z ) = x ^ { 3 } + y ^ { 3 } + z ^ { 3 } , x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$$

• A) Maximum: 8 at (2, 0, 0), (0, 2, 0), (0, 0, 2); minimum: 0 at (0, 0, 0)
• B) Maximum: 8 at (2, 0, 0); minimum: 0 at (0, 0, 0)
• C) Maximum: 8 at (2, 0, 0), (0, 2, 0), (0, 0, 2); minimum: -8 at (-2, 0, 0), (0, -2, 0), (0, 0, -2)
• D) Maximum: 8 at (2, 0, 0); minimum: -8 at (-2, 0, 0)

Analyze the role of positive psychology in fostering well-being and mental health.

Examine the historical development and key contributors to the field of positive psychology.

Understand the relationship between positive psychology and other psychological orientations such as humanism.

Appreciate the methodology and importance of research within positive psychology.

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Definitions:

Pent-Up Emotions

Feelings that have been repressed or not expressed, often leading to increased tension or stress.

Sexual Abuse

Involves forcing or coercing someone into unwanted sexual activity without consent.

Sexual Fantasies

Sexual fantasies are mental images or scenarios that arouse sexual desire, which may involve individuals, objects, or situations not present in real life.

Influence

Influence refers to the capacity to have an effect on the character, development, or behavior of someone or something, or the effect itself.