Classify the Following Surface as Ellipsoid, Elliptical Paraboloid, Hyperbolic Paraboloid $- 9 x ^ { 2 } - 4 y ^ { 2 } + z ^ { 2 } = 9$

question 22

Essay

Classify the following surface as ellipsoid, elliptical paraboloid, hyperbolic paraboloid, hyperboloid of one sheet, hyperboloid of two sheets, or cone. $- 9 x ^ { 2 } - 4 y ^ { 2 } + z ^ { 2 } = 9$

---

Definitions:

Producer Surplus

The difference between what producers are willing to accept for a good or service versus what they actually receive, often reflecting gains from trade.

Tariff Revenue

Income generated by a government from imposing tariffs on imported goods.

Total Surplus

The sum of consumer surplus and producer surplus, representing the total net benefit to society from producing and consuming a good or service.

Consumer Surplus

Consumer surplus is the difference between the total amount that consumers are willing and able to pay for a good or service and the total amount they actually pay.