Let $z = f ( x , y ) = e ^ { ( x / y ) }$

question 89

Essay

Let $z = f ( x , y ) = e ^ { ( x / y ) }$ .Find the tangent plane to f at the point $( 5,5 )$ .

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Definitions:

Pituitary Gland

A small, pea-sized gland located at the base of the brain, crucial for producing hormones that regulate various bodily functions.

ADH

Antidiuretic hormone (vasopressin), which regulates water retention in the kidneys, influencing blood pressure and hydration.

Anterior Lobe

A part of an organ that is situated toward the front of the body, often referring specifically to the front portion of the pituitary gland which secretes various hormones.

Growth Hormone

A hormone secreted by the pituitary gland that stimulates growth, cell reproduction, and cell regeneration in humans and other animals.