Find All Points (X, Y) Where F(x, Y) = $x ^ { 2 }$

question 59

Short Answer

Find all points (x, y) where f(x, y) = $x ^ { 2 }$ - 2 $y ^ { 2 }$ + 4x - 6y + 8 has a possible relative maximum or minimum.
Enter your answer as just (a, b) where a, b are either integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ .

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Definitions:

Trichomes

Hairlike outgrowths on the epidermis of plants that serve various functions, including defense against pests and protection from excessive transpiration.

Parenchyma

A type of plant tissue consisting of living cells that are often large and have various functions such as photosynthesis, storage, and secretion.

Collenchyma

A type of plant tissue that provides support, often found in areas of new growth, characterized by elongated cells with thickened cell walls.

Epidermis

The outermost layer of skin cells in animals or layer of cells in plants, serving as a protective barrier against environmental damage.