Let $f ( x , y ) = x ^ { 2 } - y ^ { 2 }$

question 41

Essay

Let $f ( x , y ) = x ^ { 2 } - y ^ { 2 }$ .(a) Sketch the intersection of $z = f ( x , y )$ and $z = 1$ in the $x y$ -plane.(b) Sketch the intersection of $z = f ( x , y )$ and $x = 0$ in the $y z$ -plane.(c) Sketch the intersection of $z = f ( x , y )$ and $y = 0$ in the $x z$ -plane.(d) Sketch the graph of $z = f ( x , y )$ in $\mathbb { R } ^ { 3 }$ .

---

Definitions:

Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity of the good that suppliers are willing to produce and sell.

Demand Curve

A graph showing the relationship between the price of a good and the quantity of that good consumers are willing to purchase at each price level.

Russian Government

The political and administrative structures governing the Russian Federation, including its executive, legislative, and judicial branches.

Default

The failure to fulfill an obligation, especially to repay a loan or appear in a court of law.