Find the Maximum and Minimum Values of the Function $f ( x , y ) = x y$

question 162

Essay

Find the maximum and minimum values of the function $f ( x , y ) = x y$ on the ellipse given by the equation $x ^ { 2 } + \frac { y ^ { 2 } } { 4 } = 1$ .

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Definitions:

Memory Consolidation

The biological process through which memories are transformed from a transient and fragile status to a more permanent and robust state; according to most researchers, consolidation occurs over the course of several hours.

Primacy Effect

In free recall, the tendency to recall the first items on the list more readily than those in the middle.

Recency Effect

is the tendency to remember the most recently presented information best.

Personally Relevant

Pertaining directly to or having a direct impact on an individual's personal life, interests, or situations.