Find the Maximum and Minimum Values of the Quadratic Form

question 45

Essay

Find the maximum and minimum values of the quadratic form
subject to the constraint

.

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Definitions:

Purine

A heterocyclic aromatic organic compound, forming the basis of two of the four nucleotides that constitute DNA and RNA (adenine and guanine).

Pyrimidine

A heterocyclic aromatic organic compound, similar to benzene and pyridine, containing nitrogen atoms at positions 1 and 3 in the ring.

Benzofuran

An organic compound that consists of a fused benzene and furan ring, often serving as a core structure in various pharmaceuticals and organic materials.

Indole

An aromatic heterocyclic organic compound with a bicyclic structure, consisting of a benzene ring fused to pyrrole.