Suppose That $f ( x , y ) = x ^ { 2 } + 2 y ^ { 2 } - x$

question 24

Essay

Suppose that $f ( x , y ) = x ^ { 2 } + 2 y ^ { 2 } - x$ Find the minimum value of the function f when (x,y)is constrained to lie on or inside the triangle with vertices (0,-2), (0,1), and (1,-2).Give your answer to 4 decimal places.

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Definitions:

Neurotrophic Factors

Proteins that support the growth, survival, and differentiation of neurons and synaptic connections in the nervous system.

Adhesion Molecules

Proteins located on the cell surface that are involved in the binding with other cells or with the extracellular matrix.

Speech Sounds

Speech sounds are the auditory signals or phonemes that are produced by the human vocal apparatus to form the building blocks of spoken language.

Discriminate

The act of recognizing or noting the difference between things; often used in context where unfair treatment is based on differences like race, gender, age, etc.