Find All the Local Maxima, Local Minima, and Saddle Points $$f ( x , y ) = 81 x ^ { 2 } + 72 x y + 64 y ^ { 2 }$$

question 352

Multiple Choice

Find all the local maxima, local minima, and saddle points of the function.
- $$f ( x , y ) = 81 x ^ { 2 } + 72 x y + 64 y ^ { 2 }$$

• A) f(9, 8) = 15,841, saddle point; f(8, 9) = 15,552, saddle point
• B) f(72, 72) = 746,496, local maximum; f(0, 0) = 0, local minimum
• C) f(0, 0) = 0, local minimum
• D) f(72, 72) = 746,496, local maximum

Describe the process of depolarization in olfactory neurons.

Comprehend features and renewal rates of taste buds.

Explain how molecules must be processed to be detected by olfactory neurons.

Understand sensory adaptation and the influence of olfaction on taste.

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Definitions:

Adaptive Theory

A theory suggesting that certain behaviors or physical characteristics have evolved because they increase survival or reproductive success.

Mental Combinations

The ability in early cognitive development where a child can mentally mix, match, and rearrange objects or situations without the need for physical manipulation.

Sensorimotor Intelligence

A stage in Jean Piaget’s theory of cognitive development where infants learn through interacting with their environment using their senses and motor actions.

Primary Reactions

Initial, innate responses or reflexes seen in infants as part of their early developmental stages.