Use the Linear Approximation of the Function $f ( x ) = \sqrt { 9 - x }$

question 15

Short Answer

Use the linear approximation of the function $f ( x ) = \sqrt { 9 - x }$ at $a = 0$ to approximate the number $\sqrt { 9.08 }$ .

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Definitions:

Perfect Substitutes

Items or services that can replace each other without any decrease in value or enjoyment for the user.

Utility per Dollar

A metric assessing the amount of utility or satisfaction a consumer receives per dollar spent on a good or service.

ADH

Antidiuretic Hormone, a hormone that helps to control the balance of water in the body by affecting the kidneys.

Water Reabsorption

The process by which water is taken back into the body from the filtrate produced by the kidneys during urine formation, thus maintaining fluid balance.