Let $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$

question 8

Essay

Let $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ , $x = s ^ { 2 } - t ^ { 2 }$ , and $y = 2 s t$ . Use the chain rule to find $\frac { \delta z } { \delta s }$ and $\frac { \delta z } { \delta t }$ .

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Definitions:

Chicken Prices

The market value or cost of chicken, which can fluctuate based on factors like demand, feed prices, and production costs.

Price of Beef

The cost at which beef is sold in the market, which can vary based on factors like quality, supply, and demand.

Equilibrium Price

The price at which the quantity of a good or service demanded by consumers equals the quantity supplied by producers.

Equilibrium Quantity

The quantity of goods or services supplied is equal to the quantity demanded at the market price.