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

question 22

Essay

Let $z = f ( x , y ) = e ^ { ( x / y ) }$ .Find the instantaneous rate of change of f at the point $( 5,5 )$ in the direction of the point $( 8,11 )$ .

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Definitions:

Sterile Gloves

Sterile gloves utilized in medical procedures to inhibit contamination, ensuring they are devoid of any living organisms.

IV Catheter

A tube inserted into a vein, usually for the administration of fluids, medications, or to draw blood.

Aldosterone

Mineralocorticoid steroid hormone produced by the adrenal cortex with action in therenal tubule to regulate sodium and potassium balance in the blood.

Sodium and Water

Vital components for physiological functions, closely regulated to maintain fluid balance, nerve transmission, and muscle function in the body.