Suppose That There Exists a Linear Function $L ( x , y )$

question 79

True/False

Suppose that there exists a linear function $L ( x , y )$ near the point (0,0)such that the difference between $f ( x , y )$ and $L ( x , y )$ approaches 0 as $( x , y )$ approaches (0,0).Then f is differentiable at (0,0)with $L ( x , y )$ as its local linearization.

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Definitions:

Sensory Responsiveness

Describes an individual's tendency to react to and process sensory information in a particular way, which can vary widely among different people.

Difference Threshold

The minimum change in stimulation required to detect a difference between two stimuli, also known as the just noticeable difference (JND).

Heavier Objects

Objects with greater mass or weight compared to other items in their comparison set.

Weber's Law

A principle in psychology stating that the change in a stimulus that will be just noticeable is a constant ratio of the original stimulus.