Find All the Local Maxima, Local Minima, and Saddle Points $$f ( x , y ) = x ^ { 3 } + y ^ { 3 } - 243 x - 48 y - 5$$

question 406

Multiple Choice

Find all the local maxima, local minima, and saddle points of the function.
- $$f ( x , y ) = x ^ { 3 } + y ^ { 3 } - 243 x - 48 y - 5$$

• A) f(9, -4) = -1335, saddle point; f(-9, 4) = 1325, saddle point
• B) f(-9, -4) = 1581, local maximum; f(9, 4) = -1591, local minimum
• C) f(-9, -4) = 1581, local maximum
• D) f(9, 4) = -1591, local minimum; f(9, -4) = -1335, saddle point; f(-9, 4) = 1325, saddle point; f(-9, -4) = 1581, local maximum

Differentiate circularity from straightness in the context of geometric dimensioning.

Identify symbols used in geometric dimensioning and tolerancing to represent form tolerances (such as cylindricity and flatness) and their meanings.

Understand the concept of overall flatness and local flatness within the surface flatness context.

Understand the concept and implementation of apparent authority in agency relationships.

---

Definitions:

Emotional Change

Variations in feelings or emotional states that an individual experiences over time.

Placebo

A substance or treatment with no therapeutic effect, often used as a control in testing new drugs.

Physical Arousal

A physiological state of heightened alertness and energy, often as a response to stimulation or excitement.

Cognitive Labels

Terms or descriptors used to identify and categorize mental processes, states, or phenomena.