Maximize the Function F(x, Y) = $x ^ { 2 }$

question 25

Short Answer

Maximize the function f(x, y) = $x ^ { 2 }$ - $y ^ { 2 }$ subject to the constraint $y - x ^ { 2 } = - \frac { 1 } { 2 } , x , y > 0$
Enter your answer as just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

Spiral Organ

Also known as the Organ of Corti, it is located in the cochlea of the inner ear and is responsible for converting sound vibrations into electrical signals for the brain to interpret as sound.

Outer Ear

The outer ear is the external part of the ear, consisting of the pinna and the ear canal, which collects sound waves and directs them into the ear.

Middle Ear

The portion of the ear internal to the eardrum and external to the cochlea, containing three small bones that amplify sound vibrations.